a) A linear equation that describes the relationship between the number of buses and the number of vans needed for 120 students is 24x + 8y = 120.
b) If the teachers rent 4 buses, the number of vans they will need to transport all the students is 3.
c) If the teachers rent 6 vans, the number of buses they will need to transport all the students is 3.
d) If the teachers rent only vans, the number of vans needed will be 15.
e) Suppose the teachers rented only buses, the number of buses needed will be 5.
What is a linear equation?A linear equation is an algebraic equation of the form y = mx+b.
A linear equation involves a constant and a first-order (linear) term, with m as the slope and b as the y-intercept.
The total number of students on the field trip = 120
The number of students a bus can seat = 24
The number of students a van can seat = 8
Linear equation:Let the number of buses = x and the number of vans = y
24x + 8y = 120
b) Renting 4 buses, the number of vans needed:
24(4) + 8y = 120
96 + 8y = 120
8y = 24
y = 3
c) Renting 6 vans, the number of buses will be:
24x + 8(6) = 120
24x = 48 = 120
24x = 72
x = 3
d) Renting only vans, the number needed will be:
24(0) + 8y = 120
8y = 120
y = 15
e) Renting only buses, the number needed will be:
24x + 8(0) = 120
24x = 120
x = 5
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Select all the measurements that are equivalent to 48 centimeters.
0 0. 48 m
o 4. 8 mm
0 480 mm
o 4,800 m
0 48,000 km
The all the measurements that are equivalent to 48 centimeters are (a) 0.48 m and (c) 480 mm. .
the number is 48 centimeter , we have to express the number in various units ,
For (a) and (d) ; we know the conversion that 100 cm = 1 m , so , 48 cm will be = 48/100 = 0.48m .
For (b) and (c) ; we know that 1 cm = 10 mm , so , 48 cm = 48 × 10 = 480 mm
For
For (e) , we know that 100000 cm = 1 km , so , 48 cm = 48/100000 km
= 0.00048 km .
Therefore , the equivalent measurements are (a) 0.48 m and (c) 480 mm.
The given question is incomplete , the complete question is
Select all the measurements that are equivalent to 48 centimeters.
(a) 0.48 m
(b) 4.8 mm
(c) 480 mm
(d) 4,800 m
(e) 48,000 km
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Find the dimensions of the figure. Round your answer to the nearest thousandth.
The Dimension of parallelogram is 7.57 inches . A special type of quadrilateral known as a parallelogram has opposite sides that are parallel and equal.
What is the area of the parallelogram?A parallelogram is a two-dimensional shape with four sides. The sides of this particular example of a quadrilateral are parallel and equal. The area of a parallelogram is the space enclosed by its four sides. The area of a parallelogram is calculated by multiplying its height by its length.
Given:Area of Parallelogram = b × h
area is 63.9 in x in.
Area of Parallelogram = b × h 63.9
= x+6.5 × x 63.9-6.5
= 57.4 x
= 7.57 inches x
height = dimension = 7.57 inches
Why is the height multiplied by the base area of a parallelogram?
Because it can be rearranged into a rectangle with the same area, the area of a parallelogram is the base times the height. A particular kind of parallelogram is a rectangle.
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1. Express 40 1/4% as a fraction (simplest form)
2. Express 65 5/8% as a fraction (simplest form)
Answer: To express 40 1/4% as a fraction, we can convert the percentage to a fraction with a denominator of 100: 40 1/4% = 40.25/100.
To simplify this fraction we can divide both the numerator and denominator by the greatest common factor (GCF) which is 25.
So, (40.25/100) = (4025/10000) = (161/400)
To express 65 5/8% as a fraction, we can convert the percentage to a fraction with a denominator of 100: 65 5/8% = 65.625/100.
To simplify this fraction we can divide both the numerator and denominator by the greatest common factor (GCF) which is 625.
So, (65.625/100) = (65625/10000) = (261/400)
Therefore, the simplest form of 40 1/4% as a fraction is 161/400, and 65 5/8% as a fraction is 261/400
Step-by-step explanation:
Helppppp!!!! Question: Jimmy’s friend Tom also wants to save money to buy concert tickets. He draws up the following savings plan. Each week Tom will raise $4 to the number of weeks he has been working and add that amount to his savings during the first 3 weeks of his new job. Use summation notation to write the sum and find the total amount Tom will save in three weeks.
The summation notation of the sum is:
[tex]Sum = \[ \sum_{n=1}^{3} (4^{n})\][/tex]
The total amount is $84.
How to use summation notation to write the sum?Summation notation, also known as sigma notation, is a mathematical notation used to represent the sum of a sequence of numbers. The notation typically uses the Greek letter sigma (∑) to represent the operation of summation.
Since each week Tom will raise $4 to the number of weeks he has been working and add that amount to his savings during the first 3 weeks of his new job.
Let n represent the number of weeks
Thus, this can be written using summation notation as:
[tex]Sum = \[ \sum_{n=1}^{3} (4^{n})\][/tex]
Thus, the total amount = 4¹ + 4² + 4³ = $84
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PLEASE HELP Select the correct answer.
Simplify the following expression.
The simplified form of the expression is option C. (3)^5/12 * (4)^2/3.
Simplification of an exponential expression.An exponential expression is one which has the value of the power of one of its terms to be greater than 1 or in a fraction form. Thus some laws are required to simplify a given exponential expression. These laws are sometimes referred to as the law of indices.
Considering the given question;
(3^2/3 * 3^3/2)^5/12 x (4^2/3)
Simplifying this expression requires applying required laws, so that;
(3^2/3 * 3^3/2)^5/12 = (3^6/6)^5/12
= (3^1)^5/12
= 3^5/12
(3^2/3 * 3^3/2)^5/12 = 3^5/12
Therefore, we have;
(3^2/3 * 3^3/2)^5/12 x (4^2/3) = (3)^5/12 x (4)^2/3
Thus the simplified form is option C.
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a baseball player went up to bat 250 times in a season. he hit the ball times. find the rate of balls hit to times at bat. express as a simplified fraction.
If the baseball player went up to bat 250 times in a season and hits the ball 100 times then the rate of balls hits to times at bat is 2/5 .
the number of times the player went up to bat is = 250 times ;
the number of times he hits the ball is = 100 times ;
So , the rate of balls hit to times at bat is calculated as :
= (number of times he hits the bat)/(number of times player went to bat)
substituting the required values in formula ,
we get ;
= 100/250 ;
writing the fraction in the simplified form ,
we have ⇒ 2/5 .
Therefore , the rate of balls hit to times at bat in simplified fraction is 2/5 .
The given question is incomplete , the complete question is
A baseball player went up to bat 250 times in a season. he hit the ball 100 times. find the rate of balls hit to times at bat. express as a simplified fraction.
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A sample of bacteria begins with 38 cells and triples in size every 40 minutes.
Approximately how many minutes will it take for there to be 100,000 bacteria
in the sample?
It will take approximately 197.36 minutes for the sample to reach 100,000 bacteria.
Calculate the growth rate of bacteria in each 40 minute interval by dividing 3 (the amount of growth) by 40 (the time interval):
Growth rate = 3/40 = 0.075
Calculate the number of growth periods necessary to get from 38 to 100,000 bacteria. To do this, divide the desired number of bacteria (100,000) by the initial number of bacteria (38):
Growth Periods = 100,000/38 = 2,631.57
Calculate the total time required for the sample to reach 100,000 bacteria by multiplying the growth rate (0.075) by the number of growth periods (2,631.57):
Total Time = 0.075 x 2,631.57 = 197.36 minutes
Therefore, it will take approximately 197.36 minutes for the sample to reach 100,000 bacteria.
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Rhonda and Shalene live together in an apartment, so they combine their income each week to pay for
their rent and bills. Rhonda's paycheck is modeled by the function r(x) = 22x + 50, where x is the
number of hours worked. Shalene's paycheck is modeled by the function s(x) = 30x – 25, where x is the
number of hours worked.
Which function represents their household income if they work the same number of hours?
A. (s - r)(x) = -8x + 75
B. (r + 3)(x) = 52x + 25
C. (r + s)(x) = 52x + 75
D. (r - 5)(x) = 8x - 75
The function that represents their household income if they work the same number of hours is 52x + 25.
Therefore the answer is B. (r + s)(x) = 52x + 25
Rhonda's paycheck is modeled by the function r(x) = 22x + 50, where x is the number of hours worked.
Shalene's paycheck is modeled by the function s(x) = 30x – 25, where x is the number of hours worked.
The function that represents their household income if they work the same number of hours can be determined by adding their individual income
(r + s)(x) = 22x + 50 + 30x - 25
(r + s)(x) = 52x + 25
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what is the volume of this triangle ( im confused and need help)
Answer:
672
Step-by-step explanation:
1. Multiply the length, width, and height of the triangle.
14 x 12 x 8 = 1,344
2. Divide by 2.
1,344/2 = 672
Answer:
672 Feet^3
Step-by-step explanation:
Volume of a triangle = 1/2 (B)(H)(L)
B = base
H = height
L = length
I see you've found the numbers for B, H, and L so great start.
B = 12
H = 8
L = 14
So now its just plug and play
(12)(8) = 96
(96)(14) = 1344
And lastly (1/2)(1344) = 672 cubic feet
Need help, on this please!
Valentino is a patient in a nursing home for 61 days of 2020. While in the nursing home, he incurs total costs of $27,816. Medicare pays $16,690 of the costs. Valentino receives $30,598 from his long-term care insurance policy, which pays while he is in the facility. Assume that the Federal daily excludible amount for Valentino is $380.
Of the $30,598, what amount may Valentino exclude from his gross income?
A person who purchases his/her own policy can exclude the benefits from gross income. It's also good to note that statutory limitations exist for the following amounts:
Benefits that have been collected under the employer's plan
Premiums that have been paid by the employer
benefits that have been collected from the individuals' policy. Therefore the amount Valentino may exclude will be calculated as follows;
Daily statutory amount in 2020 (380 * 61)
= $23180.
Actual cost of care $27816 $23180
Less: Amount received from Medicare ($16690)
Equal amount of exclusion ($6490)
Thus:
Valentino must include (30598 - 6490)=$6800 of the long-term care benefits received in his gross income.
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A triangle has two sides of length 18.1 and 16.6. What compound inequality describes the possible lengths for the third side, x?
Answer:
1.5 < x < 34.7
Step-by-step explanation:
You want a compound inequality describing possible lengths (x) for the third side of a triangle with sides 18.1 and 16.6.
Triangle inequalityThe shortest side cannot be any shorter than the difference of the two known sides:
18.1 -16.6 = 1.5
The longest side cannot be any longer than the sum of the two known sides:
18.1 +16.6 = 34.7
The possible lengths of the third side are given by ...
1.5 < x < 34.7
__
Additional comment
If the third side is exactly equal to the sum or the difference, then the "triangle" looks like a line segment. It has zero area. That possibility is usually disallowed. If you want to allow it, then change < to ≤ in the inequality.
amy needs to mail a usb drive to a friend. she uses 41-cent stamps and 7-cent stamps to pay $1.79 in postage. how many of each stamp did amy use?
So, Amy used 30 stamps of 41-cent stamps and 17 stamps of 7-cent stamps.
This is a system of equations problem. We can call the number of 41-cent stamps x and the number of 7-cent stamps y.
The two equations are:
x + y = total number of stamps used
0.41x + 0.07y = 1.79 (the total cost of the postage in dollars)
We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y in terms of x:
y = total number of stamps used - x
Then we can substitute this into the second equation:
0.41x + 0.07(total number of stamps used - x) = 1.79
Solving for x,
x = (1.79 - 0.07*total number of stamps used) / 0.41
We can substitute this into the first equation to solve for total number of stamps used.
x + y = total number of stamps used
x + (total number of stamps used - x) = total number of stamps used
2x = 1.79/0.41 + 0.07/0.41
x = (1.79/0.41 + 0.07/0.41)/2
x = (1.79 + 0.07)/(0.41*2)
So, x = 30 stamps of 41-cent stamps
and y = (total number of stamps used - x) = (total number of stamps used - 30) = (1.79/0.48 - 30) = 17 stamps of 7-cent stamps
So, Amy used 30 stamps of 41-cent stamps and 17 stamps of 7-cent stamps.
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Find the missing side length of the following right triangle. x
Answer24
Step-by-step explanation:
RS bisects MO at N. If MN= 5x + 8 and NO= 10 + 3x find the value of x.
Answer:
Given that RS bisects MO at N, we know that:
RN = RO (by definition of a bisector)
MN + NO = MO (by the angle bisector theorem)
Given that MN = 5x + 8 and NO = 10 + 3x, we can substitute these values into the second equation to find the value of x.
MN + NO = MO
(5x + 8) + (10 + 3x) = MO
8x + 18 = MO
Now we can use the first equation to find the value of x.
RN = RO
5x + 8 = 10 + 3x
3x = 2
x = 2/3
Therefore, the value of x is 2/3.
If you were to sketch a circle graph for the data shown in the table below approximately what fraction of the circle would represent food
-----------------------------------------
vacation expenses budget
expense | amount budgeted
activities | $600
food | $450
souvenirs| $270
35% of the circle would represent the food budget.
What is a radian?The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics
Given are the vacation expenses budgets labeled in a circle graph.
We can write the total budget as equivalent to the Area of the circle as -
${600 + 450 + 270} → πr²
$1320 → πr²
$1 → πr²/1320
$450 → πr²/1320 x 450 = 0.35 πr²
Therefore, 35% of the circle would represent the food budget.
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PLEASE HELP
On a recent bird-watching expedition, Eriq and Salle saw several different kinds of waterfowl. They saw grebes (G), ducks (D), cormorants (C), geese (E), and spoonbills (S). They saw some of the birds at the beach (B), some at the lake (L), and some in a field (F). Write an expression to represent each of the following pieces of information.
a. The total number of birds that they saw
b. The percentage of birds that they saw at the lake
c. The fraction of birds that were geese or duck
Answer:
A. Total number of Birds: G + D + C + E + S or B + L + F
B. [tex]\frac{L}{B+L+F}[/tex]
C. [tex]\frac{G+D}{B+L+F}[/tex]
Step-by-step explanation:
first divide you duck by one two three and then subtracted by 578
las edades de los hermanos de una familia son 3, 4, 6, 9, 15, 17. La varianza de las edades de esta poblacion es
The variance of the ages of this population is equal to 28.33.
How to calculate the mean age?Mathematically, the mean for the ages of these siblings (mean age) would be calculated by using this formula:
Mean = [F(x)]/n
Total age, F(x) = 3 + 4 + 6 + 9 + 15 + 17
Total age, F(x) = 54.
Therefore, the mean age is given by:
Mean age = [F(x)]/n
Mean age = 54/6
Mean age = 9
Next, we would calculate the standard deviation by using this formula:
Standard deviation, SD = √(1/n × ∑(xi - u₁)²)
Standard deviation, SD = √(1/6 × [(3 - 9)² + (4 - 9)² + (6 - 9)² + (9 - 9)² + (15 - 9)² + (17 - 9)])
Standard deviation, SD = √(1/6 × [36 + 25 + 9 + 0 + 36 + 64])
Standard deviation, SD = √170/6.
Standard deviation, SD = 5.32
In Statistics, the standard deviation of a data set is the square root of the variance and this is given by this mathematical expression:
Variance = δ²
Variance = 5.32²
Variance = 28.33.
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Complete Question:
The ages of the siblings in a family are 3, 4, 6, 9, 15, 17. The variance of the ages of this population is?
consider the 12 face diagonals of a rectangular block. how many pairs of them are skew lines? (two lines in space are skew if they do not intersect and they are not parallel.)
Considering the 12-face diagonals of a rectangular block, 30 pairs of these diagonals are skew lines.
In a rectangular block, there are a total of 12 face diagonals. These diagonals are formed by connecting the opposite vertices of each face of the block. To determine the number of pairs of skew lines among these diagonals, we can consider the following:
There are 6 faces in a rectangular block, each with 2 diagonals.
Every diagonal on one face is unique and does not intersect with any other diagonal on the same face.
However, diagonals on opposite faces are parallel to each other and therefore, do not form skew lines.
So, we will be selecting one diagonal from one face, so we have 6 options, then we select another diagonal from another face, which would be 5 options, and we repeat this process until we exhaust all the diagonals. This will give us 6*5 = 30 pairs of skew lines.
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Jill has launched a model rocket from the Earth with an upward speed of 80 feet per second. The path of the rocket can be modeled by the equation h(t) = -16t2 + 80t. What is the range?
The range is 5 feet
The path of the rocket can be modeled by the equation
h(t) = -16t² + 80t
We know that the range of a projectile is nothing but the horizontal distance the projectile travels from the time it is launched to the time it comes back down to the same height at which it is launched.
To find the horizontal distance we find the distance between the points on the horizontal axis.
i.e., to find the value of t for which h(t) = 0
Let us assume that the value of equation h(t) = 0
h(t) = 0
-16t² + 80t = 0
t(-16t + 80) = 0
t = 0 OR -16t + 80 = 0
t = 0 OR -16t = -80
t = 0 OR t = 5
So, the range would be,
R = 5 - 0
R = 5 feet
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- 10x + 2y = 4
.-9x + 3y = 18
Solved by substitution
Answer:
To solve a system of equations by substitution, we can use one equation to solve for one variable in terms of the other variable, and then substitute that expression into the other equation.
Given the system of equations:
10x + 2y = 4
.-9x + 3y = 18
We can start by isolating y in one of the equations. For example, we can use the first equation:
10x + 2y = 4
To solve for y, we can divide both sides by 2:
y = -5x + 2
Now we can substitute this expression for y into the second equation:
-9x + 3(-5x + 2) = 18
-9x - 15x + 6 = 18
-24x + 6 = 18
-24x = 12
x = -0.5
Now that we know x = -0.5, we can substitute this value back into the original expression we found for y:
y = -5(-0.5) + 2
y = 2.5
So the solution of the system of equations is (x, y) = (-0.5, 2.5).
A can of soda can be modeled as a right cylinder. Levi measures its radius as 2.4 cm and volume as 152 cubic centimeters. Find the height of the can in centimeters. Round your answer to the nearest tenth if necessary. Answer: \text{ cm} cm
The height of right circular cylinder is 8.4 cm.
Given that,
The radius = r = 2.4 cm
Volume = 152 cubic cm
Let height of right circular cylinder = h
We know that,
The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centres of the cylinder's two bases. This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.
And we know that,
Volume of right circular cylinder = πr²h
152 = 3.14 x 2.4 x 2.4 x h
⇒ h = 8.4 cm
Hence, height is 8.4 cm.
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58 2/3 as a fraction in simplest form
Answer:
176/3
Step-by-step explanation:
58 2/3 = 58 + 2/3 = 58/1 + 2/3 = 174/3 + 2/3 = 176/3
Find the 9th term of the geometric sequence9,−18,36,
The 9th term of the geometric sequence is 2304.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
2, 4, 8, 16 is a geometric sequence.
We have,
9, -18, 36
First term = 9
Common difference = -18/9 = -2
Now,
The nth term of a geometric sequence.
= a[tex]r^{n-1}[/tex]
For n = 9,
= 9 [tex](-2)^{9 - 1}[/tex]
= 9 x [tex](-2)^8[/tex]
= 9 x 256
= 2304
Thus,
The 9th term is 2304.
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5 2/5 divided by 7 =?? Whats the answer?
Answer:189/2
Step-by-step explanation:
uncle henry has ten one-dollar bills to distribute among his five youngest nieces and nephews. how many ways are there to distribute his money?
1001 ways are there to distribute the money of Uncle Henry to his nieces and nephews.
He may donate the entire sum to one child (five ways).
He could give each youngster two bucks (one way).
He may offer $0.00, $1.00, $2.00, $3.00, and $4.00 in five different ways.
Henry will put the dividers on the left and the banknotes on the right. Money to the left of the first divider goes to the youngest kid, money between the first and second dividers goes to the child after that, and so on.
For example, the first kid receives $1, the second receives $2, the third receives $1, the fourth receive nothing, and the fifth receives $6.
It is merely a matter of selecting the number of arrangements of 10 bills and four dividers using this model:
[tex]\frac{14 !}{(10 !)(4 !)}=1,001, \text { or: } 14 C 4=1,001[/tex]
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There are 1001 ways to distribute Uncle Henry's money to his nieces and nephews.
He might give one youngster the full amount (five ways).
He could give each child two dollars (one way).
He can make five separate offers of $0.00, $1.00, $2.00, $3.00, and $4.00.
Henry will arrange the banknotes on the right and the dividers on the left. The youngest child receives the money to the left of the first divider, the following child receives the money between the first and second dividers, and so forth.
The first child gets $1, the second gets $2, the third gets $1, the fourth gets nothing, and the fifth gets $6, for instance. Using this model, it is only a matter of choosing the quantity of arrangements of 10 bills and 4 dividers.
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the 20th term in a sequence is x 25. the 40th term in a sequence is x 105. write an equation for the arithmetic sequence by filling in the blanks
The arithmetic sequence is x+4n -55.
Given that,
20th term is = x + 25
a20 = a +19d = x + 25,
40th term is = x + 105
a40 = a +39d = x + 105,
now subtract a20 by a40,
a40 - a20
a + 19d - (a + 39d) = x + 25 - (x + 105)
20d = x + 25 -x - 105
20d = 80
d= 4.
a1 = a20 - 19d
a1 = x+ 25 - 19 x 4
a1 = x -51
so,
an = a1 + (n-1)d
an = x- 51 + (n-1)4
an = x- 51 + 4n - 4
an = x + 4n -55.
so, The arithmetic sequence is x+4n -55.
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NEED HELP ASAP - Algebra 2
It is possible to have a rational function where the denominator can have no zeroes and thus the function itself will have no singularity. Such a function will have no vertical asymptotes.
What is a rational function?A rational function is one that can be written as a polynomial divided by a polynomial. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. Example 1. f(x) = x / (x - 3). The denominator has only one zero, x = 3.
Given, In a rational function, R(x): = P(x)/Q(x)
p/q is a form of rational function.
q is not zero since divisor cannot be 0.
If we divide any function by 0 the operation is considered as undefined.
A rational function has at most one horizontal or oblique asymptote, and possibly many vertical asymptotes.
First, factor both the numerator and the denominator. Then, cancel out any common factors. A common factor does not give rise to a vertical asymptote, but it does create a hole if the zero of the common factor is real. Next, find the zeros for all of the remaining factors in the denominator after canceling out the common factors. For each zero in the denominator, there will be a vertical asymptote at that zero.
Therefore, The simples example I can give you for such a rational function would the f(X) = X, defined over the real numbers.
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Pls mark all Ill mark brainlest
Question 7(Multiple Choice Worth 5 points)
(03.07 LC)
Estimate the product of 653.2 x 4.6. What numbers does it lie between?
Between 2,612 and 3,265
Between 3,000 and 2,612
Between 5 and 654
Between 4 and 653
Question 8(Multiple Choice Worth 5 points)
(03.02 LC)
Solve 147 x 3 = ___.
548
441
428
321
Question 9(Multiple Choice Worth 5 points)
(03.05 MC)
6.84 x 57 = ___.
342.68
389.88
34,268
38,988
Question 10(Multiple Choice Worth 5 points)
(03.02 LC)
A garden at the Hemingway House contains 236 plants. If each garden had the same number of plants, how many plants would be in 7 gardens?
1,652
1,422
1,412
1,282
Question 11(Multiple Choice Worth 5 points)
(03.01 LC)
Solve 16 x 103 = ___.
16,000
1,600
160
16
Question 12(Multiple Choice Worth 5 points)
(03.05 MC)
At the food stand near Fisherman's Wharf, a drink costs $2.98. What is the cost of 75 drinks?
$223.50
$412.60
$2,235.00
$4,126.00
Question 13(Multiple Choice Worth 5 points)
(03.06 LC)
Choose the answer that best describes the estimate for 1.2 x 1.2 = ___.
The answer will be 24 because 12 x 12 = 144.
The answer will be greater than 1 because the decimals are greater than 1.
The answer will be equal to 1 because the decimals are the same number.
The answer will be less than 1 because the decimals are less than 1.
Question 14(Multiple Choice Worth 5 points)
(03.04 LC)
Estimate the product of 2,456 x 38 by rounding to the nearest thousand and ten.
120,000
93,328
80,000
60,000
1. The product of 653.2 x 4.6 lie between A. Between 2,612 and 3,265.
2. The value of 147 x 3 will be B. 441
3. The product of 6.84 x 57 will be 389.88.
4. The number of plants in 7 gardens is A. 1652.
5. The value of 16 × 103 to nearest number is B. 1600.
6. The amount for 75 drinks is A. 223.50
7. The option that best describes the estimate for 1.2 x 1.2 is B. The answer will be greater than 1 because the decimals are greater than 1.
8. The product of 2,456 x 38 is B. 93328.
How to calculate the product?The product of 653.2 x 4.6 will be:
= 653.2 × 4.6
= 3004.72
The value of 147 x 3 will be:
= 147 × 3
= 441
The product of 6.84 x 57 will be:
= 6.84 × 57
= 389.88.
The number of plants in 7 gardens is:
= 236 × 7
= 1652.
5. The value of 16 × 103
= 16 × 103
= 1600 approximately.
The amount for 75 drinks is:
= $2.98 × 75
= $223.50
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janine speds 1/10 hour making the bed, 1/5 hour getting dressed, 1/2 hour eating breakfast. what is the total fraction of an hour
The total fraction of an hour that Janine spends making the bed, getting dressed, and eating breakfast is 4 / 5 hour.
The total fraction of an hour that Janine spends making the bed, getting dressed, and eating breakfast can be calculated by adding the fractions of time she spends on each activity:
1/10 hour + 1/5 hour + 1/2 hour
= (2 + 1 + 5) / 10 hour
= 8 / 10 hour
= 4 / 5 hour
The addition of two or more fractions with the same denominator is straightforward.
Simply add the numerators and keep the same denominator. For example:
(1/5) + (2/5) = (1 + 2) / 5 = 3/5
If the fractions have different denominators, you will need to find a common denominator before adding the numerators. The common denominator is the least common multiple of the denominators. Once you have found the common denominator, convert each fraction to an equivalent fraction with the common denominator and then add the numerators.
For example:
(1/5) + (2/3) = (3/15) + (10/15) = (3 + 10) / 15 = 13/15
So the addition of two or more fractions is performed by finding a common denominator, converting the fractions to equivalent fractions with the common denominator, and then adding the numerators.
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