The equation of the total number of hours that Jack could use is t = 3.5n
How to determine the equation of the total number of hours?From the question, we have the following parameters that can be used in our computation:
Number of hours of study each night = 3 and a half hours
To start with, we need to represent the given parameter using numbers (fractions or decimal)
Using decimals, we have the following representation
Number of hours of study each night = 3.5 hours
Represent the number of nights as follows
Number of nights = n
Represent the total number of hours as follows
Total number of hours = t
So, we have the following equation
Total number of hours = Number of nights * Number of hours of study each night
Substitute the known values in the above equation, so, we have the following representation
t = 3.5 * n
Evaluate
t = 3.5n
Hence, the equation is t = 3.5n
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Answer: y=3.5x
Step-by-step explanation:
Question
The product of two consecutive odd integers is 99. Find the integers. Answer only with the positive integers. For example, if
the integers are 8, 10 and -8, -10, then answer 8, 10.
Provide your answer below:
n=
n =
Answer: n= 9 and n=11
Step-by-step explanation:
Assume that x is the lesser of the two numbers. The second figure must be x+2.
Since x*(x+2) = 99, we know that
x^2 + 2x - 99 = 0
We obtain x = 11 and 9 by searching for the roots of this equation.
This can also be resolved in the following ways:
We are aware that the two numbers (x and x +2) are consecutive odd numbers. Since x * (x + 2) = x2 + 2x, the value of x must be near to the square root of 99.
The squares 81 and 100 are the ones closest to the number 99. Additionally, we know that x * (x+2) is bigger than x2 (by a factor of 2x), therefore x must equal 9 and x+2 must equal 11.
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Solve for x. √x+3 = 6 A.3 B.9 C.33 D.36
Answer:
C. 33
Step-by-step explanation:
Given:
[tex]\sqrt{x+3}=6[/tex]
Solution:
(square both sides)
[tex]x+3=6^{2}[/tex]
[tex]x+3=36[/tex]
[tex]x=36-3[/tex]
[tex]x=33[/tex]
Answer is 33
option C
Can someone help with that?
Answer:
Step-by-step explanation:
i think it's black people x chicken = happy
Which rule explains why these triangles are congruent?
Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.
D
A
E
C
B
In parallelogram ABCD, show triangle ADC is congruent to triangle CBA
O In parallelogram ABCD, show triangle DEA is congruent to triangle CEB
O In quadrilateral ABCD with AB congruent to CD and AD is congruent to BC, show ABCD is a parallelogram
O In parallelogram ABCD, show DE is congruent to BE and AE is congruent to CE
The conjecture and rephrased statement of proof to demonstrate that the diagonals of a parallelogram cross each other, taking into account the provided figure, is: DE and EB are congruent to one another in the parallelogram EFGH, while AE is congruent to EC.
Define Parallelogram.A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
The parallelogram's diagonals are the lines connecting its two opposed ends. Sharing into two equal portions is known as bisecting. Congruent refers to a copy that has the same dimensions as the original and may therefore be used in place of it. When the diagonals of a parallelogram bisect one another, it signifies that they split into two equal pieces that are congruent with one another.
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If angle 1 is 25 degrees in the parallelogram pictured above, what is angle 2
The unknown angle in the parallelogram is as follows:
∠2 = 155 degrees.How to find angles of a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
In other words, a parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. Opposite sides are equal in length. Opposite angles are equal. The sum of any two adjacent angles of a parallelogram is equal to 180°
The sum of angles in a parallelogram is 360 degrees.
Therefore,
∠1 = 25 degrees
Hence,
Adjacent angles in a parallelogram are supplementary. This means adjacent angles sum up to 180 degrees.
Therefore,
∠2 + ∠1 = 180
∠2 + 25 = 180
∠2 = 180 - 25
∠2 = 155 degrees
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Find the difference, and explain how you did it. Explain both the number part and the sign
4-(-6)
Answer:
10
Step-by-step explanation:
The 2 subtracting signs become addition, which is 4 + 6
IL GIVE BRAINLIEST Question 1 of 10
Which is an expression?
A. 3 + 2 = 5
OB. 2+1>0
OC. 1+4= 2 + 3
OD. 4+6
Answer:
D
Step-by-step explanation:
A and C are equations. B is an inequality.
An expression does not have an inequality or equal sign.
Hence, D is the answer.
**WILL MARK BRAINLIEST**
Cell phone Plan A costs $80 per month and comes with a free $630 phone. Cell phone Plan B costs $45 per month but does not come with a phone. If you buy the $630 phone and choose Plan B, how many months is it until your cost is the same as Plan A's? Be sure to:
a) Write an equation to represent the situation where x represents the number of months.
b) Show your work to solve the equation from part a using inverse operations.
c) State the answer.
a) An equation representing the situation where x represents the number of months when Plan A and Plan B cost the same is 80x = 630 + 45x.
b) Using inverse operations, we can state that 80x - 45x = 630 or 35x = 630, and x = 18.
c) From this equation, we determine that x is 18 months.
What is an equation?An equation is a mathematical statement that shows that two or more mathematical expressions are equal or equivalent.
Equations use the equation symbol (=) to depict the equality of the expressions.
Plan A Plan B
Monthly charge $80 $45
Free phone $0 $630
Mathematical Expression:Let Plan A = 0 + 80x
Let Plan B = 630 + 45x
The month the two plans' costs are equal can be derived by equating the two expressions above:
80x = 630 + 45x
80x - 45x = 630
35x = 630
x = 18 months
Thus, solving the equation, we can conclude that choosing Plan B will take 18 months to equal the cost of Plan A and thereafter, be considered cheaper than Plan A.
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emma ray and norman shared 4/5 of a pizza. Do you think thet had 1/3 each? yes or no?
Answer: ya
Step-by-step explanation:bc
A gasoline tank holds 3 3/4
gallons. If 1/3 of the tank has been used,
then how many gallons have been used?
Answer:
3/5
Step-by-step explanation:
Reduce fraction to lowest terms
1 is the greatest common divisor of 41 and 12. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
41 over 12
41
12
= 3 and 5 over 123
5
12
41 ÷ 12 = 3 remainder 5
Answer: [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Solve the triangle using the Law of Sines. (Assume b and c = 20, and ∠C = 63°. Round the length to two decimal places.)
Answer:
a = 16.51
angle A = 54
angle B = 63
Step-by-step explanation:
Recall the law of sines:
sinA/a = sinB/b = sinC/c
We know c is 20, and angle C is 63. Since b is also 20, angle B must also be 20. We know have two of the 3 angles, summing to 126, and we can find the last angle from that. 180-126=54, so angle A must be 54.
To solve for a, we need to know the ratio of the other two terms. Sin(63) is around 0.99, and 0.99/20 is 0.049. So we have 0.049=sin(54)/a. To solve for a, we divide by sin(54) and take the reciprocal of both sides, giving a = (sin54)/0.049, which is about 16.51, which is the length of the side a.
A
Choose the correct symbol to
compare these numbers.
-42 [?] -19
=
B
C
V
Answer:
<
Step-by-step explanation:
On a number line, -42 is to the left of -19.
When you compare two numbers on a number line, the number to the left is smaller.
-42 is less than -19
-42 < -19
At a local sandwich shop, 55% of customers preferred white bread over whole wheat bread. Of those who chose whole wheat bread, 61% preferred ham for the protein, and 41% of those who chose white bread preferred turkey.
What percentage of customers chose whole wheat bread with turkey? Round your answer to the nearest whole percentage.
18%
28%
39%
41%
Answer:
≈ 18%
Step-by-step explanation:
% of customers preferring whole wheat bread = 100 - 55 = 45%
% of choosers of whole wheat bread who prefer turkey = 100 - 61 = 39%
Multiply: 0.45×0.39 = .1755
Answer:
18%
Step-by-step explanation:
i took the test :)
1
Rebecca has 3 boxes of shells
with 30 shells in each box.
Which equation can be used
to find the total number of
shells in Rebecca's boxes?
A3 x 3 + 0 =
B3+3 x 10 =
3x3 + 10 =
3 x 3 x 10
Answer:
Step-by-step explanation: the answer is 90
the answer is 3 x 3 x 10 because she has 3 boxes and 30 shells in each box. 30 divided by 3 is 10 therefore you would multiply 3 by 3 to get 9 then multiply 9 times 10 to get 90.
How can 1,000 as an exponential expression with 10 as the base
Answer:
10^3.
Step-by-step explanation:
How can you represent 1,000 as an exponential expression with 10 as the base?
You can represent 1,000 as 10^3. 10 x 10 x 10 = 1000. is read as “10 to the third power” or “10 cubed.”
all numbers are base 10 unless the teacher says to use another base so
there are 3 zeroes so
10^3 is the answer
Karl earns $11.20/hr. How much will he be paid this week?
Answer:11.20*168=$1 881.6
Step-by-step explanation:
At an art store, 1/4 of
the supplies are for
painting and 13% of the
supplies are for
drawing. What percent
of the supplies are not
for painting or
drawing?
5) a real estate agent bought two triangular 'kittitas' having a common side as shown in the figure from two people for rs 20,00,000 altogether. if he immediately sold the land in the shape of à quadrilateral at rs 15,00,000 per kattha, find his profit or loss.(1 kattha= 338.63 sq. m)
The information given regarding the computation of the profit or loss shows that there's a loss of RS 500,000.
How to calculate the profit?From the information given, it was stated that the real estate agent bought two triangular Kittas' having a common side as shown in the figure from two people for Rs 2000,000 altogether.
It was further depicted that he sold the land in the shape of a quadrilateral at Rs 1,500,000. In their case, the sale is less than the cost and therefore, there's a loss.
The loss will be:
= 2,000,000 - 1,500,000
= 500,000
Therefore, the information illustrated a loss of RS 500,000.
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Complete question
Mr. Gosain?(1 Aana = 31.8 m²) b) A real estate agent bought two triangular Kittas' having a common side as shown in the figure from two people for Rs 20,00,000 altogether. If he immediately sold the land in the shape of a quadrilateral at Rs 15,00,000 per Kattha, find his profit or loss.(1 Kattha= 338.63 sq. m) danta Excel in Mathematics - Book 9 86 36 m Approved by Curriculum Development Cen 20 m 29 m 25 m 21 m aktapur
The sum of two numbers is 5
Wouldn't the answer be 1 and 4?
Create two groups of cards with the SAME SUM using as many cards as possible using the numbers 1 2 3 4 5 6 7 8 9
Group 1: 1, 2, 3, 4, 5
Group 2: 6, 7, 8, 9
In this case, the sum of the numbers in Group 1 is 1 + 2 + 3 + 4 + 5 = 15, and the sum of the numbers in Group 2 is 6 + 7 + 8 + 9 = 30. The sum of the numbers in both groups is 15 + 30 = 45, which is the same.
Alternatively, we could create the following two groups:
Group 1: 1, 2, 3, 4
Group 2: 5, 6, 7, 8, 9
In this case, the sum of the numbers in Group 1 is 1 + 2 + 3 + 4 = 10, and the sum of the numbers in Group 2 is 5 + 6 + 7 + 8 + 9 = 35. The sum of the numbers in both groups is 10 + 35 = 45, which is the same.
There are many other ways to create two groups of cards with the same sum using as many cards as possible. The key is to use all of the numbe
Answer:
group 1: 1,2,3,4,5
Group 2: 6,7,8,9
Step-by-step explanation:
my brain
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Domain : {-4, 3} and Range : {-1, 4}
What is Domain and Range ?
A relation's domain and range are established, and they consist of all ordered pairs' x and y coordinate sets, respectively.
Domain = the set of all x-coordinates Range = the set of all y-coordinatesHere, observe the line through x-axis
you'll see the it range from -4 to 3 on x-axis.
Therefore, Domain is {-4, 3}
Now, observe the line through y-axis
you'll see the it range from -1 to 4 on y-axis.
Therefore, Range is {-4, 3}
Hence, Domain : {-4, 3} and Range : {-1, 4}
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Directions: Write an equation of the line in slope intercept form from the given points (-2, 6) & (0, 4)
Answer:
y = -x + 4
Step-by-step explanation:
m = y2-y1 / x2-x1
m = 4-6/ 0-(-2)
m = -2/2
m = -1
y = -x + b
4 = -(0) + b
b = 4
y = -x + 4
Could you please give me brainliest for this? Thanks!
In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
True
False
False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
What is exponential decay function?
In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.
It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.
How do you calculate an exponential function?
The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.
The exponential function, which has the form, is a significant mathematical function. f(x) = ax.
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As a private contractor for a septic tank cleanup company, you oversee the draining of septic tanks in the county. Your company uses a truck with a storage tank capable of holding 30,500 gallons of waste.
Is there enough storage in the truck to drain a full septic tank in the shape of a cube measuring 191 inches on each side? (231 cubic inches in 1 gallon.)
There is enough storage in the truck. The volume of the septic tank is about 25,219 gallons.
There is enough storage in the truck. The volume of the septic tank is about 30,164 gallons.
There is not enough storage in the truck. The volume of the septic tank is about 36,481 gallons.
There is not enough storage in the truck. The volume of the septic tank is about 6,967,871 gallons.
There is not enough storage in the truck. The volume of the septic tank is about 7,045,500 gallons.
There is enough storage in the truck. The volume of the septic tank is about 30,164 gallons.
How to determine if there is enough storage in the truck to drain a full septic tank?Given that:
Your company uses a truck with a storage tank capable of holding 30,500 gallons of waste.
A full septic tank in the shape of a cube measuring 191 inches on each side.
First, calculate the volume of the septic tank:
Volume of septic tank (V) = S³
where S is the side length of the septic tank
S = 191 inches
V = S³
V = 191³ = 6967871 cubic inches
Since we have 231 cubic inches in 1 gallon:
V = 6967871 / 231 = 30,164 gallons
Thus, the capacity of the full septic tank is 30,164 gallons
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Your body mass index (BMI) is your weight by kilograms divided by the square of your height in meters. Online BMI calculators allow you to enter weight in pounds and height in inches. High BMI is a common but controversial indicator of being overweight or obese. A study by the National Center for Health Statistics found that the BMI of American young women (ages 20-29) is approximately Normally distributed with mean 26.8 and standard deviation 7.4
Using z-score calculations, we can say that around 13.14%of the young women have a BMI (Body Mass Index) of less than 18.5 and are underweight.
How to find the probability from z-score?The formula for z-score is;
z = (x' - μ)/σ
We are given;
Population Mean; μ = 26.8
Population standard deviation; σ = 7.4
Average BMI; x' = 18.5
Thus;
z = (18.5 - 26.8)/7.4
z = -1.12
From online p-value from z-score calculator, we have;
p-value = 0.1314 = 13.14%
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Complete question is;
Your body mass index (BMI) is your weight by kilograms divided by the square of your height in meters. Online BMI calculators allow you to enter weight in pounds and height in inches. High BMI is a common but controversial indicator of being overweight or obese. A study by the National Center for Health Statistics found that the BMI of American young women (ages 20-29) is approximately Normally distributed with mean 26.8 and standard deviation 7.4
People with BMI less than 18.5 are often classed as “underweight.” What percent of young women are underweight by this criterion?
If cos(x)= 2/3 and x is in quadrant I, then find exact values for (without solving for x): sin(2x) cos(2x) and tan(2x)
The exact values for sin(2x), cos(2x) and tan(2x) without solving for x 4√5 /9, -1/9 and -4√5 respectively
How to find the exact values for sin(2x) cos(2x) and tan(2x) without solving for x?Given: cos(x)= 2/3 and x is in quadrant IIn trigonometry, cos(x) = adjacent/hypotenuse = 2/3.
adjacent = 2
hypotenuse = 3
Here, we will find the opposite
opposite =√(3²-2²) = √5
sin(x) = (√5)/3 (opp./hyp.)cos(x) = 2/3
(adj./hyp.)tan(x) = (√5)/2 (opp./adj.)
Using trigonometry identity:
sin(2x) = 2sin(x)cos(x) sin(2x)
= 2× (√5)/3 × 2/3sin(2x)
= 4√5 /9cos(2x) = 2cos²(x) - 1
cos(2x) = 2(2/3)² -1cos(2x) = -1/9
Also, we will find the exact value for tan.
tan(2x) = 2tan(x) / 1-tan²(x)tan(2x) = (2(√5))/2 / 1-((√5)/2)²
tan(2x) = √5 / (-1/4)
tan(2x) = -4√5
Therefore, the exact values are given above.
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Give the degree of the polynomial
Answer:
10
Step-by-step explanation:
Given polynomial:
[tex]3x^2y^3+8x^3y^7[/tex]
The degree of a polynomial is the largest exponent in the function.
When a polynomial has more than one variable, add the exponents of each variable in each term.
3x²y³ has a degree of 5, since both exponents add up to 5.
8x³y⁷ has a degree of 10, since both exponents add up to 10.
So the polynomial has a degree of 10.
5 1/2 + 3/4 Give your answer in its simplest form.
Answer:
5 1/2 + 3/4
11/2 + 3/4
22+3/4
25/4
=6 1/4
Cost of a sled = $99.50, markup = 95%
Answer:
take wholesale cost and multiply it by 95%, then add to the original value
another way, just multiply by 1.95
Retail cost: 1.95*($99.50) = $194.03
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
So the sales price of the sled is 100% + 95 % = 195 % of the cost
= 1.95 * cost = 1.95 * 99.50 = 194.03 dollars