Answer:
8.25
Step-by-step explanation:
one half of 5 times y plus the quantity of y and 7
The simplified expression for the given word problem is 3y + 7/2.
What are algebraic expressions?When addition, subtraction, multiplication, division, and other mathematical operations are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.
An algebraic expression is composed of various parts. To better comprehend the idea of Variables, Constants, Terms, and Coefficients of any algebraic equation.
According to the given word problem
5 times y = 5y
5 times y plus the quantity of y and 7 = 5y + y + 7
one-half of 5 times y plus the quantity of y and 7 = 1/2(5y + y + 7)
So, simplify the expression now, we get
1/2( 5y + y + 7) = 1/2(6y +7)
= 1/2 × 6y + 1/2 × 7
= 3y + 7/2
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You might need: Calculator
Solve for a.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4x +49x+8
Classify the following number: 4. Choose all that apply.
Answer: real number, integer, whole number, rational #
Step-by-step explanation:
Look at a chart about rational numbers vs irrational numbers.
A train goes at a constant speed. It can travel 159 miles in 2 1/2 hours. What distance would it travel in 2 hours
Answer:
127.2 miles
Step-by-step explanation:
using the relationships
speed = [tex]\frac{distance}{time}[/tex] ( time in hours ) = [tex]\frac{159}{2.5}[/tex] = 63.6 mph
constant speed is 63.6 mph
then
distance = speed × time = 63.6 × 2 = 127.2 miles
Please help me solve this equation
[tex]39 + \frac{1}{7}r[/tex] when r = -1/2
[tex]39 + \frac{1}{7}*\frac{-1}{2} \\\\39 + \frac{-1}{14}\\\\[/tex]
= 38.92857 (in decimal form)
= 545/14 (in fractional form)
Write the expression as a power and evaluate it. 8•2^7 and 16•32
The expression as a power is ____
The expression as a power is 2^10 and 2^9
What is index form?Index form of a number can be defined as the number that is written in the form of an exponential expression.
It is also described as a single number that is raised to another variable or number.
It is important to note the following index forms with base of 2, we have;
2^1 = 22^2 = 42^3 = 82^4 = 162^5 = 322^6 = 64We have the expression as;
8•2^7
Substitute the values
2^3 . 2^7
Add the powers
2^3 + 7
2^10
16•32
Substitute the values
2^4 . 2^5
Add the powers
2^ 4 + 5
2^9
The expression is written as; 2^ 10 and 2^9
Hence, the values are 2^10 and 2^9
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Given g(x) = −2x^2 + 3x + 20, find g(0), g(−2.5), g(4), g(0.75), g(20)
The functions g(0) = 20, g(−2.5) = 0, g(4) = 0, g(0.75) = 21.125, g(20) = -720 as a result of the mapping with the function g(x) = −2x² + 3x + 20
What is a function?A function is a mapping whose codomain is the set of real numbers. It can also be defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
From the function g given as g(x) = −2x² + 3x + 20, by careful mapping we have the following;
put 0 for values of x
g(0) = -2(0)² + 3(0) + 20
g(0) = 20.
put -25 for values of x
g(-25) = -2(-25)² + 3(-25) + 20
g(-25) = -12.5 - 7.5 + 20
g(-25) = 0
put 4 for values of x
g(4) = -2(4)² + 3(4) + 20
g(4) = -32 + 12 + 20
g(4) = 0
put 0.75 for values of x
g(0.75) = -2(0.75)² + 3(0.75) + 20
g(0.75) = -1.25 + 2.25 + 20
g(0.75) = 21.125
put 20 for values of x
g(20) = -2(20)² + 3(20) + 20
g(20) = -800 + 60 + 20
g(20) = -720
Therefore, by proper mapping of the function g(x) = −2x² + 3x + 20, we derived g(0) = 20, g(−2.5) = 0, g(4) = 0, g(0.75) = 21.125, and g(20) = -720.
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Answer:
g(0) = 20
g(-2.5) = 0
g(4) = 0
g(0.75) = 21.125
g(20) = -720
Step-by-step explanation:
Hello!
We can evaluate each value by plugging the value inside the parenthesis into x in the equation [tex]-2x^2 + 3x + 20[/tex].
Evaluateg(0)g(0) = -2(0)² + 3(0) + 20g(0) = -2(0) + 0 + 20g(0) = 0 + 0 + 20g(0) = 20g(-2.5)g(-2.5) = -2(-2.5)² + 3(-2.5) + 20g(-2.5) = -2(6.25) - 7.5 + 20g(-2.5) = -12.5 - 7.5 + 20g(-2.5) = -20 + 20g(-2.5) = 0g(4)g(4) = -2(4)² + 3(4) + 20g(4) = -2(16) + 12 + 20g(4) = -32 + 12 + 20g(4) = -20 + 20g(4) = 0g(0.75)g(0.75) = -2(0.75)² + 3(0.75) + 20g(0.75) = -2(0.5625) + 3(0.75) + 20g(0.75) = -1.125 + 2.25 + 20g(0.75) = 1.125 + 20g(0.75) = 21.125g(20) g(20) = -2(20)² + 3(20) + 20g(20) = -2(400) + 60 + 20g(20) = -800 + 60 + 20g(20) = -740 + 20g(20) = -720The values are, in order, 20, 0, 0, 21.125, and -720.
Which of the following is a good point estimator for the population variance?
A good point estimator for the population variance is: s².
What is a two-tailed test?A two-tailed test can be defined as a type of hypothesis test in which a rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution.
In Statistics, the basis of an inference about the population is usually used to determine statistical inference based on all of the statistics that are calculated from samples.
This ultimately implies that, the sample mean should be close to the population mean, the sample proportion should be close to the population proportion, and the sample standard deviation should be close to the population standard deviation.
In this context, we can logically deduce that standard deviation (s²) is considered as a good point estimator for the population variance.
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Timothy plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. Each step has the dimensions shown in the sketch.
What will be the length of the railing?
The length of the railing is 105.81 inches.
Given,
The stair has 7 steps
The rise of each step = 8.5 inches
The tread of each step = 12.5 inches
Slope of each step = x
We have to find the length of the railing.
Length of railing = 7x
Then,
Slope of step, x can be determined using Pythagorean theorem.
Let rise be the height of the right angled triangle and tread be the base of the triangle
Then,
Hypotenuse= Slope, x = [tex]\sqrt{Rise^{2} + Tread^{2} }[/tex]
x = [tex]\sqrt{8.5^{2}+ 12.5^{2} }[/tex]
x = [tex]\sqrt{72.25 + 156.25}[/tex]
x = √228.5
x = 15.12 inches
That is,
The slope, x of one step is 15.12 inches
Now,
Length of the railing = 7x = 7 × 15.12 = 105.81 inches
Therefore,
The length of the railing is 105.81 inches.
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I want the answer please please
Fasting blood glucose levels are normally distributed with mean u = 117
mg/dL and standard deviation o = 15.2 mg/dL. Compute the upper 40.
percent Round answers to 1 decimal place.
the upper 40 percent round answers to 1 decimal place is 113.1
mean( [tex]\mu\\[/tex]) = 117 mg/dL
S.D.(σ) = 15.2 mg/dL
The r code which is used to get 40th percentile in qnorm(0.4,117, 15.2 ) = 113.1
What is mean?
Mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean.
What do you mean by geometric mean?
Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.
What do you mean by arithmetic mean?
The quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.
What do you mean byharmonic mean?
The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.
What do you mean by Standard Deviation?
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
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i bet u cant solve it
For the given pair of parallel lines AG and BH , CF is the transversal then ∠ADE and ∠BEF are corresponding angles.
As given in the question,
Given :
Pair of parallel lines are AG and BH.
CF is the transversal.
Transversal CF intersect line AG at point D and
Transversal CF intersect line BH at point E
Four pair of corresponding angles
Two pair of alternate interior angles
Corresponding pair of angles in the pair of parallel lines are congruent.
∠ADE ≅ ∠BEF
∠ADE and ∠BEF are corresponding angles.
Therefore, for the given pair of parallel lines AG and BH , CF is the transversal then ∠ADE and ∠BEF are corresponding angles.
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-268=-6(-6-6k)+2k
k= ???
Answer:
k = - 8
Step-by-step explanation:
- 268 = - 6(- 6 - 6k) + 2k ← distribute parenthesis by - 6
- 268 = 36 + 36 k + 2k ( subtract 36 from both sides )
- 304 = 38k ( divide both sides by 38 )
- 8 = k
If the p-value is 0.023 from a hypothesis test is compared to a significance level of 0.05, what conclusion would we make?
Group of answer choices
A) Accept the null hypothesis.
B) Reject the alternative hypothesis.
C) Fail to reject the null hypothesis.
D) Reject the null hypothesis.
If the p-value is 0.023 from a hypothesis test is compared to a significance level of 0.05, the conclusion which we would make is: A) accept the null hypothesis.
What is a p-value?A p-value is also referred to as the probability value and it can be defined as a probability which arises when the null hypothesis (H₀) is true of obtaining a sample result that is at least as unlikely as what is originally observed.
In Mathematics, the following rules are applicable to both a p-value and a hypothesis test:
Accept the null hypothesis when the p-value is greater than the significance level (alpha).Reject the null hypothesis when the p-value is less than the significance level (alpha).In this context, we can logically deduce that the null hypothesis would be accepted because the p-value (0.023) is greater than a significance level of 0.05 and not statistically significant.
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Who wants brainliest? First right answer first serve
Step-by-step explanation:
i marked where to put them
Bob’s bank charges him a $3.15 service fee every time he uses an out-of-network ATM. If Bob uses an out-of-network ATM an average of three times every two weeks, how much will he pay in service fees over the course of a year?
a.
$327.60
b.
$109.20
c.
$491.40
d.
$245.70
Please select the best answer from the choices provided
A
B
C
D
answer:
$245.70
why?:
1 year = 52 weeks
52/2= 26
26*3 = 78 times
78*3.15= 245.70
How do I calculate the area and perimeter of this triangle?
Step-by-step explanation:
to find the perimeter first:
13×3=39
13×3=39
5×3=15
5×3=15
39+39+15+15=108
P=108
i hope it's useful
What's the area of a rectangle with side lengths of 6/8 metter and 4/10 metter?
Answer:
3/10 meters^2
Step-by-step explanation:
we multiply length by width to get are
6/8x4/10
6*4/8*10
24/80
3/10
Hopes this helps please mark brainliest
Answer: Hi the answer to that would be 3/10.
Step-by-step explanation: The first one explains the formula and the second one shows my work. I hope this helps!!!
help me pleasseeee please help please help urgent
Answer: number 3
explanation: I took the
Kepteo can cultivate a piece of land in7hrs. While wanjiku can do the same work in 5 hrs . Find the time they will take to cultivate the piece of land when working together
The time is 2 our 55 minutes when they will take to cultivate the piece of land when working together.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Or, A number which is expressed as a quotient is called fraction.
It can be written as the form of p : q, which is equivalent to p / q.
Given that;
Kepteo can cultivate a piece of land in 7 hr.
Wanjiku can do the same work in 5 hr.
Now,
Since, Kepteo can cultivate a piece of land in 7 hr.
Hence, Kepteo make work in 7 h
So, In 1 hour kepteo work = 1/7
And, Since, Wanjiku can cultivate a piece of land in 5 hr.
Hence, Wanjiku make work in 5 h
So, In 1 hour Wanjiku work = 1/5
Thus, They make with together = 1/7 + 1/5
= 12/35
Hence, When they working, they make = 12/35 work per hour
So, They need number of hour to working together = 35/12 hour
= 2 hour 55 minutes.
Thus, The time is 2 our 55 minutes when they will take to cultivate the piece of land when working together.
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If a plant grows 15 cm in 3 hrs. Determine which expression correctly represents a unit rate for the situation.
The unit rate of the plant growth is 5cm per hour
How to calculate the unitThe unit rate refers to amount the plant will grow 1 hour
from the relationship
15 cm = 3 hours
? cm = 1 hour
cross multiplying
3 * ? = 15 * 1
? = 15 / 3
? = 5 cm
The plant's unit rate of growth is 5cm per hour
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You owe $46,212.35 on a student loan that carries an APR of 6.9%. You place the loan into forbearance for 5 years. How much do you owe on the loan when it comes out of forbearance?
You owe on the loan is $64512.90
Given,
In the question:
You owe $46,212.35 on a student loan that carries an APR of 6.9%. You place the loan into forbearance for 5 years.
To find the how much do you owe on the loan when it comes out of forbearance?
Now, According to the question:
Based on the given conditions,
Formulate;
You owe $46,212.35 on a student
Interest is 6.9%
46212.35 x (6.9% +1)^5
Evaluate the equation/expression:
64512.90
Hence, You owe on the loan is $64512.90
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If four people equally share a 1/2 page to 3/4page.what fraction of the page in the photograph
The fraction of page in the photograph is 3/32.
What are fractions?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.Proper fractions are those in which the numerator value is less than the denominator value. as in 7/9 and 8/10. Improper Fraction - A fraction is deemed improper if the numerator value exceeds the denominator value. Example: 6/5 and 11/10.So, the fraction of the page in the photograph:
We know that,
The fraction of the page is 1/2.4 people share as 3/4.Now, calculate as follows:
(1/2 ÷ 4) × 3/41/2 × 1/4 × 3/41/8 × 3/43/32Therefore, the fraction of page in the photograph is 3/32.
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Answer:
=3/32
Step-by-step explanation:
(1/2÷4)*3/4
1/2*1/4*3/4
1/8*3/4
There-For The Answer Is:
=3/32
MARK AS BRAINLIEST ANSWER
Question 1 (1 point) Saved Is the following statement True or False? We want to use the formula A = ½ab(sin(C)). Consider an obtuse triangle ABC. We know the lengths of a,b and c. but only know the angle for B. Are we are still able to use this formula? True False
Answer:
1). True
2). x = 16.4 m^2
3). A = 24, h = 4
4). A = 18.39
5). 162
Step-by-step explanation:
I took this quiz on K12 and got everything correct! Brainliest welcome! :)
What must be added to 3/8 to make a whole?
Answer:1/2
Step-by-step explanation:
ASAPPPPP PLEASE HELPPP!!!!!!!!!!
Between 50 and 100 books are stored on a shelf. Exactly 20 percent of them are textbooks. Exactly one-seventh of them are novels. Can the exact number of books on the shelf now be determined? Why or why not?
Answer:
no
Step-by-step explanation:
the percentage has nothing to do with how many of them there are, forgive me if im wrong
The exact number of books on the shelf cannot be determined based on the information given.
What is an expression?An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.
We know that between 50 and 100 books are stored on a shelf, so let's assume the number of books is some integer value between 50 and 100, inclusive. Let's call this value "n".
Exactly 20% of the books are textbooks, which means there are 0.2n textbooks on the shelf.
Exactly one-seventh of the books are novels, which means there are (1/7)n novels on the shelf.
We know that n, 0.2n, and (1/7)n are all integers because they represent whole numbers of books. We can write this as:
n = a
0.2n = b
(1/7)n = c
where a, b, and c are integers.
From the second equation, we know that 0.2n is a multiple of 1/10. From the third equation, we know that n is a multiple of 7. Therefore, we can rewrite these equations as:
n = 10b
n = 7c
Since n is equal to both 10b and 7c, we know that n must be a multiple of the least common multiple of 10 and 7, which is 70.
So, n must be a multiple of 70, and therefore must be one of the integers 50, 70, or 90. However, we cannot determine which of these three values is the correct one based on the information given, because all three satisfy the conditions in the problem:
If n=50, then 20% of the books (i.e., 10 books) are textbooks, and 1/7 of the books (i.e., 7.14 books, which we round down to 7) are novels.
If n=70, then 20% of the books (i.e., 14 books) are textbooks, and 1/7 of the books (i.e., 10 books) are novels.
If n=90, then 20% of the books (i.e., 18 books) are textbooks, and 1/7 of the books (i.e., 12.86 books, which we round down to 12) are novels.
Therefore, the exact number of books on the shelf cannot be determined based on the information given.
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Find the Smallest number which
being added 28 to
exactly divisable by 32, 36, 48
and 96
Answer:
265 is the snakiest number
Step-by-step explanation:
-1/4-a-4=7/4a-3
solving equations with one unlike equations
Answer:
a = -5/11
Step-by-step explanation:
You want to solve the equation -1/4-a-4=7/4a-3.
SolutionThe first step in solving this 3-step equation can be to add the opposite of (-a) so that the variable 'a' appears only on one side of the equation:
-1/4 -a -4 +a = 7/4a -3 +a
-17/4 = 11/4a -3 . . . . . . . . . . . simplify
The second step is to add the opposite of the constant (-3) so that the constant is on one side of the equation, and the variable is on the other side.
-17/4 +3 = 11/4a -3 +3
-5/4 = 11/4a . . . . . . . . . . simplify
The third step is to multiply by the inverse of the coefficient of the variable:
(4/11)(-5/4) = (4/11)(11/4a)
-5/11 = a . . . . . . . . . . . . . . . simplify
Check-1/4 -(-5/11) -4 = (7/4)(-5/11) -3
-17/4 +5/11 = -35/44 -3
(-187 +20)/44 = (-132 -35)/44
-167/44 = -167/44 . . . . . . answer checks OK
David and his children went into a grocery store and he bought $7.50 worth of apples and bananas. Each apple costs $0.75 and each banana costs $0.50. He bought 5 more bananas than apples. By following the steps below, determine the number of apples, x, and the number of bananas, y, that David bought.
DETERMINE THREE WAYS TO HAVE 5 MORE BANANAS THAN APPLES
Answer:
Let the number of apples and bananas bought be x and y respectively.
x + 5 = y ------ equation (1)
0.75x + 0.50y = 7.50 ------ equation (2)
Substitute equation (1) into equation (2):
0.75x + 0.50(x+5) = 7.50
0.75x + 0.50x + 2.50 = 7.50
1.25x = 5
∴x = 4
Substitute x = 4 into equation (1):
∴y = 4+5
= 9
∴David bought a total of 4 apples and 9 bananas.
A 2 1/2 foot by 8-foot concrete wall is to be built using concrete blocks. Find the area of the wall.
20 foot² is the area of the wall.
What does a math area mean?
The amount of space occupied by a flat (2-D) surface or an object's shape is known as its area. On a sheet of paper, use a pencil to create a square. It has two dimensions. Its Area refers to the area that the shape occupies on the paper. Consider your square as being composed of smaller unit squares.Length of concrete wall = [tex]2\frac{1}{2}[/tex] foot
Breadth of concrete wall = 8 foot
Since, area means product of dimensions so we use the formula mentioned below:
Area of the concrete wall = length× breadth
= [tex]2\frac{1}{2}[/tex] * 8
= 5/2 * 8
= 5 * 4 = 20 foot²
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