Using the percentage concept, it is found that 19% of the 7th graders in the School of Rock play keyboard.
The percentage of an amount a relative to another amount b is given by:
[tex]P = 100\frac{a}{b}[/tex]
From the table given:
There are 14 + 17 + 11 + 10 = 52 7th graders, hence, [tex]b = 52[/tex]Of those, 10 play the keyboard, hence [tex]a = 10[/tex]Then
[tex]P = 100\frac{a}{b} = 100\frac{10}{52} = 19[/tex]
19% of the 7th graders in the School of Rock play keyboard.
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for what value of the variable will the expression 8b-27
-11
Answer:
b=2
Step-by-step explanation:
Match the expression to its simplified form
Answer:
2 exponent 5 = 32
5 exponent 3 = 125
2 - exponent 4 = 1/16
5 - exponent 2 = 1/25
Step-by-step explanation:
HELP PLSSSSS TY
Health Club Fees You are choosing between two health clubs. Club A offers membership for a fee of $14 plus a monthly fee of $29. Club B offers membership for a fee of $28 plus a monthly fee of $22. After how many months will the total cost of each health club be the same?
Answer:
2 months
Step-by-step explanation:
To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.
29x+14=22x+287x+14=287x=14x=2When solved, x=2. This means that after 2 months the cost of each will be the same.
Thank you to anyone who can help!!
Answer:
Pentagon (the 5 sided shape) = 1
Cross-looking shape = 6
Star = 8
Square/Rectangle = 5
Hope this helps!
For this question, I'd want some assistance. Thank you very much. Have a wonderful day!
Answer:
can u take pic again?
Step-by-step explanation:
MODELING REAL LIFE You have $9.25. How many games can you bowl if you rent bowling shoes?
Answer:
For starters how much does it cost to rent out the shoes
2nd of all how much does it cost too play each game ??
Step-by-step explanation:
ill answer just gimme the info pls
WILL MARK BRAINLIEST IF YOU ANSWER BOTH QUESTIONS WITH SOLUTION
Answer:
1. = 3xy + x - 2y - 4
2. = d^2(2c^3-8c^2d+3d^2)
Step-by-step explanation:
= 9x^2y^2 + 3x^2y - 6xy^2 - 12xy/3xy
First factor the top equation ….
= 3xy(3xy + x - 2y - 4)/3xy
If the top and the bottom both carry 3xy, you can cancel out both of them leaving you with ….
= 3xy + x - 2y - 4
= -16c^6d^6 + 64c^5d^7 - 24c^3d^8/-8c^3d^4
First factor the top equation ....
= -8c^3d^6(2c^3-8c^2d+3d^2)/-8c^3d^4
If the top and the bottom both carry -8c^3 you can cancel out both of them leaving you with ….
= d^6(2c^3-8c^2d+3d^2)/d^4
Apply the exponent rule with d^6 ....
= d^4d^2(2c^3-8c^2d+3d^2)/d^4
cancel out d^4 ....
= d^2(2c^3-8c^2d+3d^2)
A triangle has two sides of length 7.2 and 11.6. What compound inequality describes the possible lengths for the third side, x?
Write a compound inequality like 1
Answer:
4.4 < x < 18.8
Step-by-step explanation:
11.6 - 7.2 = 4.4
11.6 + 7.2 =18.8
Which expressions are equivalent to - 8z +(-5.5) + 1.5z + 3y - 2.5?
Select all that apply.
A. -8 + 3y +6.52
ОВ. Зу- 8 - 6.5z
C.-6.52 + 3y - 8
D. -8 + 3y + (-6.52)
E. 3y + (-6.52) -5.5
Answer:
B
Step-by-step explanation:
-8z - 5.5 + 1.5z + 3y - 2.5
-6.5z + 3y - 8
very time Luisa bakes a batch of brownies, she uses 12 cup of chocolate. If she has 32 cup(s) of chocolate remaining, how many batches of brownies can Luisa make? Input your answer as a whole number
Answer:
4
Step-by-step explanation:
Answer:she can make 4 batches of brownies
Step-by-step explanation:
since she already made a batch of brownie with 1/2 cup and she has 3/2 cups left, that means she can make 3 more
3+1=4
hope this helps
Step-by-step explanation:
Also try searching you question in brainly some of these questions are asked and answered
solve 3/4x-5=x
Give your answer correct to 2 decimal places
Answer:
x=1.69 or x=-0.44
Step-by-step explanation:
1) multiply both sides by 4x-5 to give 3=x(4x-5)
expand this ------>3=4x^2 - 5x
2) bring the 3 on the other side by subtracting 3
4x^2 - 5x - 3 = 0
3)use quadratic formula where a is 4, b is -5 and c is -3
[tex] \frac{ - b + or \: - \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
[tex] \frac{ - ( - 5) + \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = \: 1.69[/tex]
[tex] \frac{ - ( - 5) - \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = - 0.44[/tex]
The value of x in the equation 3 / 4x - 5 = x is -20.
What is the equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
3 / 4x - 5 = x
Solve the above equation as shown below,
x = 3 / 4x - 5
x - 3 / 4 x = -5 (Transform the variable on the left side and constant on the right side)
4x - 3x / 4 = -5
x / 4 = -5
x = 4 × (-5)
x = -20
Thus, the value of x is -20.
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What are the possible values of y if x =4 in the inequality x-2y ≤ 5?
Answer:
y ≥ -0.5
Step-by-step explanation:
First, we can substitute 4 in for x in the inequality.
4 - 2y ≤ 5
Now, to solve for y, we start by subtracting 4 from both sides:
-2y ≤ 1
And divide by -2. When dividing or multiplying by a negative number while solving an inequality, we also have to remember to switch around the inequality sign. This gives us:
y ≥ [tex]\frac{1}{-2}[/tex] or y ≥ -0.5
Therefore, the possible values of y are -0.5 or greater.
PART C
What should the height of a can of fruit juice used as a prop be if its actual
height is 7 inches? Show your work.
Answer:
15 in i am guessing
Step-by-step explanation:
i need to know the height of the can first
The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.
What is a proportional relationship?A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.
Given that, the input and the output variables in this problem are as follows:
Input variable: Actual height = 80 in
Output variable: Height on set = 44 in
k = 44/80
k = 0.55.
Therefore, the equation is:
y = 0.55x.
Then the height on the set when the actual height is of 7 inches is given by:
y = 0.55(7) = 3.85 inches.
More can be learned about proportional relationships at brainly.com/question/10424180
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Michael can swim 5 lengths of a swimming pool in 130 seconds.
Use this information to show that he could swim 100 lengths in under 45 minutes
Answer:
Yes, he can swim 100 lengths in under 45 minutes.
Step-by-step explanation:
First we divide 100 by 5
100 ÷ 5 = 20
Now we can multiply this by 130 seconds
Now we have 2600 seconds
Since 1 minute is 60 seconds we divide 2600 by 60 seconds
2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.
This is all assuming his rate is constant.
Micheal takes 43.333 minutes to swim 100 lengths.
What is length?Length is a measurement or extent of something from one end to another end.
The SI unit of length is meter.
Given that,
To cover 5 lengths, time taken by Micheal = 130 seconds,
Therefore,
Time taken by Micheal to cover 1 length = 130/5 = 26 seconds
Time to cover 100 length = 26×100=2600 seconds
1 minute = 60 seconds
100 length is covered = 2600×1/60 minute
= 43.333 minute
So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.
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1. Find the x and y intercept for the function 3x-4y=12
Step-by-step explanation:
To easily solve this problem we need to know two facts:
the y-intercept is 'c' when a line is in the slope-intercept form (y = mx + c)the x-intercept occurs when y = 0Slope-intercept form
Since 3x - 4y = 12
3x - 12 = 4y
y = ³/₄ x - 3
∴ y-intercept is (0, -3)
Solve for x when y = 0
Since 3x - 4y = 12
3x - 4(0) = 12
x = 4
∴ x-intercept is (4, 0)
We can check our answer by graphing the line and seeing if it passes through the intercepts we calculated. Since it does (see graph below), then the answers we calculated are correct.
What time does the clock show?
12
11
1
2
: 10
9
3
8
4
7
5
6
.
Answer:
it would have to be 5:30 if not then 5:00 but i really think it is 5:30
Step-by-step explanation:
it has the small hand behind the 6 and the big hand at 6 so the would be 30 minutes so for that reason i say 5:30
[tex]--------------[/tex]
12+12+12
Answer:
[tex]12 + 12 + 12 = 36 \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]
Heyy , help me do this please and thank you?:
Answer: 18 fliers
Step-by-step explanation:
1/3 of 63 is 21. Thus, the remaining fliers are 42.
4/7 of 42 is 24. Thus, the remaining fliers are now 18.
Hope it helps :)
The results of the tests run on the samples are shown in the following table.
Firm 1 379 376 353 363 359 381 348 372 363
Firm 2 364 356 361 360 351 353 354 358 355 362
Does the sample information support the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2 ? Test at the 0.05 level of significance.
Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:
[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]
At the alternative hypothesis, we test if the difference is more than 3, that is:
[tex]H_1: \mu_1 - \mu_2 > 3[/tex]
The mean and the standard deviation for both tests are:
[tex]\mu_1 = 366, s_1 = 11.67[/tex]
[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]
The standard errors are:
[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]
[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.
It's value is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{8.6 - 3}{3.2147}[/tex]
[tex]t = 1.742[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]
Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
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13
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)
Answer:
use the Microsoft world language to define noun phrases and figure of speech
a function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??
Step-by-step explanation:
remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.
so, the given domain tells us the interval to look at.
what are the functional values of the function between 0 and 50 ?
since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.
f(0) = 4×0 + 5 = 5
f(50) = 4×50 + 5 = 205
so, the range is 5 <= y <= 205
A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953. Assume that σ = $463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.
$346,352 < μ < $485,554
$295,433 < μ < $536,473
$272,355 < μ < $559,551
$415,952 < μ < $415,954
Answer:
ci = [271,953 , 559,953]
Step-by-step explanation:
x = mean: $415953
z = 95% : z value of 95% is 1.960
s = standard deviation = $463364
n = number of observations: 40
X +- Z * S/sqrt N
415953 + - 1.96 * 463364/sqrt40
= 415953 + - 144000
[271,953 , 559,953]
Answer:
$272,355 <μ< $559,551
Step-by-step explanation:
Gradpoint
a boy gains 8 marks out of 10 what percentage is this
It is 80%
8 divied by 10 is 0.8. Which is 80%
Answer:
8 out of 10 is the same thing as saying [tex]\frac{8}{10}[/tex] so it would be 80%
Step-by-step explanation:
8 ÷ 10 = 0.8 = 80%
Solve the inequality t/2 ≥ 11 for t.
A. 4 ≥ 9
B. t ≥ 22
C. t ≤ 9
D. t ≤ 22
Answer:
B
Step-by-step explanation:
We can multiply both sides by 2 to get rid of the fraction and get:
t ≥ 11 × 2 ->
t ≥ 22.
Hope that helps! :)
Answer:
B: t ≥ 22
Step-by-step explanation:
6.
Write an equation you can solve to answer each problem.
Solve each equation.
a) Ruby has 27 pages of stamps in her collection.
Zachary has 8 fewer pages than Ruby.
How many pages of stamps does Zachary have?
b) Nemo has 3 times as many DVDs as Ashley.
Ashley has 16 DVDs.
How many DVDs does Nemo have?
c) Adrian walked 19 km less than Sheba.
Sheba walked 35 km.
How far did Adrian walk?
Answer:
a) 27 - 8= 19 pages of stamps
b) 16 × 3 = 48 DVDs
c) 35km - 19km = 16km
Blake was listening to his favorite radio station. He noticed that during one hour, 15 songs were played and 3 of them were by a group from Michigan.
A. What is the ratio of songs by the group from Michigan to the number of songs played?
B. Write the ratio in simplest form.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?
Answer:
Step-by-step explanation:
A. What is the ratio of songs by the group from Michigan to the number of songs played? 3/15
B. In lowest terms, 3/15 is 1/5.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours? To answer this, multiply the 1-hour unit rate by 3: 3*3 = 9 Michigan group songs over the next 3 hours.
Boris buys a car for $23,000. The value of this car reduces by 8% each year. Find the number of complete years it takes for the value of the car to fall below $11,500.
Answer:
2 years
Step-by-step explanation:
casue if you multilpy 2 x 11,500 you get 23,000
2H20 1) How many hydrogen atoms are represented by this much water? A) 1 B) 2 0.4 D) 6
I do this so y'all can get extra point and complete challenges!
What is zero times 3575828592
:D
Answer:
0
Step-by-step explanation:
find the area of the largest square that can be cut from a circle of radius 18
Answer:
approx 161.3 square units
Step-by-step explanation:
the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7
these four triangles would produce a square with sides of 12.7 units
so area would be 12.7² or approx 161.3 square units