the shorter side of a rectangle is 60% of the longer side and the perimeter of the rectangle is 96 inches. find the side lengths

Answers

Answer 1

Answer:length 30, width 18

Step-by-step explanation:

60% +100%=160%

160% × 2 = 320 %

96/320 = 0.3 ×100 =30 ( length)

30 × 0.6 =18 (width)

Check: (18 + 30) 2 = 96


Related Questions

At Dorcas's Hair Salon there are three hair stylists. 27% of the hair cuts are done by Martin, 30% are done by Jennifer, and 43% are done by Dorcas. Martin finds that when he does hair cuts, 6% of the customers are not satisfied. Jennifer finds that when she does hair cuts, 7% of the customers are not satisfied. Dorcas finds that when she does hair cuts, 3% of the customers are not satisfied. Suppose that a customer leaving the salon is selected at random. If the customer is not satisfied, what is the probability that their hair was done by Dorcas

Answers

Answer:

Dorcas's Hair Salon

If the customer is not satisfied, the probability that their hair was done by Dorcas is:

=  18.75%

Step-by-step explanation:

Number of hair stylists = 3

                                        Martin        Jennifer       Dorcas     Total

Percentage of haircuts

 done                               27%               30%            43%     100%

Percentage of dissatisfied

 customers                      6%                   7%               3%

Proportion of dissatisfied

 customers                    37.5% (6/16)    43.75% (7/16)   18.75% (3/16)

If the customer is not satisfied, the probability that their hair was done by Dorcas

=  18.75%

which graph represents the absolute value of -3​

Answers

[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]

Slope: 0

y - intercept: (0, -3)

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7. When running you discover you are only in second place. You were initially running at a speed of 18 km/h and
increase your speed to 21 km/h. It takes you 3 seconds to speed up to your new rate. What is your
acceleration

Answers

Step-by-step explanation:

check it out.

Hope it helps.

Hope you understood this. If not plz let me know.

200% of 85 is what number

Answers

Step-by-step explanation:

hope it helps u..........

and pls mark as brainliat ans

complete the square to form a true equation;
x^2-2x+__=(x-__)^2

Answers

Answer:

see explanation

Step-by-step explanation:

To complete the square

add ( half the coefficient of the x- term )² to x² - 2x

x² + 2(- 1)x + 1

(x² - 2x + 1 = (x - 1)²

ou invested 7000 between two accounts paying 4% and 9% annual​ interest, respectively. If the total interest earned for the year was $430 how much was invested at each​ rate? ​$ nothing was invested at and ​$ nothing was invested at

Answers

9514 1404 393

Answer:

$3000 at 9%$4000 at 4%

Step-by-step explanation:

Let x represent the amount invested at 9%. Then 7000-x was invested at 4% and the interest earned was ...

  9%·x +4%(7000-x) = 430

  5%·x +280 = 430 . . . . . . . . . simplify

  0.05x = 150 . . . . . . . . . . . subtract 280

  x = 3000 . . . . . . . . . . divide by 0.05

$3000 was invested at 9%; $4000 was invested at 4%.

The length of a rectangle is three times its width. If the area of the rectangle is 300 in squared”, find its perimeter.​

Answers

Area of a square 300 meaning the length times the width is 300.

And it’s a 1 to 3 ratio.

So I found that 30 times 10 is 300 and that is a 3-1 ratio.

The length is the bigger one so that would be 30, meaning the width is 10.

To find the perimeter, add all of the sides. This is a rectangle so the parallel sides are equal to one another. So the length of one side is 30. The length of the parallel side is 30. The width of one side is 10 and the width of its parallel side is 10. So… 30+30+10+10=80

A truck was driven a 140 miles in 3 1/2 hours. If a car is driven the same distance at an average speed of 20 miles an hour faster than the trucks average speed, how long will it take the car.

Answers

Find the speed of the truck:

140 miles / 3.5 hours = 40 miles per hour

The car was 20 miles an hour faster: 40 + 20 = 60 miles per hour.

Divide distance by speed: 140 miles / 60 miles per hour = 2 1/3 hours

Answer: 2 1/3 hours

Answer: 2 2/6 hours

Explanation:

Distance = 140 miles

Time = 3 1/2 hours

= 7/2 hours

Speed = Distance/Time

= 140/(7/2)

= 40 miles

New distance = 140 Miles

New Speed = 60 miles

New Time = 140/60

= 2 2/6 hours

Must click thanks and mark brainliest

Which choice shows 30 + 10 + 20 rewritten correctly using the commutative property and then simplified correctly?
A.30 + 20 + 10 = 50 + 10 = 60.

B.30+10+10+10=40+10+10=50+10=60
C.30+20+10=50+30=80
D.30+10+10+10=40+10=50

Answers

Answer:

A. 30+20+10=50+10=60

Step-by-step explanation:

The commutative property is the property of which you can rearrange the numbers around but the answer stays the same. From the original equation, you moved 20 and 10 around and added 30+20=50 then, you add 10 plus that 50 since you haven't done anything to the 10 yet. So, 50+10=60.

Hope this helped! Please rate 5 stars and give Brainliest!

Points A(p,6), B(-3,q) and C(r,8) are on a line whose equation is y=-2x+3. How find the unknown coordinates of A,B, and C?

Answers

9514 1404 393

Answer:

p = -3/2q = 9r = -5/2

Step-by-step explanation:

Put the given coordinates in the equation for the line and solve for the unknown.

  y = -2x +3

  (p, 6) ⇒ 6 = -2p +3   ⇒   p = -3/2

  (-3, q) ⇒ q = -2(-3) +3   ⇒   q = 9

  (r, 8) ⇒ 8 = -2r +3   ⇒   r = -5/2

tìm cực trị của hàm số z(x,y)=x^{3}+y^{3}+3xy-30

Answers

Answer:

Hence, MEAN OF FIRST FIVE COMPOSITE NOS IS 7.5

Which function has lowest rate of change?

5x – 2y = 15 (or) Cost of 5 pencils is 15 dollars

O Algebraic Function

O Verbal Description

Both the functions

O None of the choices

Answers

Answer:

A: Algebraic Function

Step-by-step explanation:

Algebraic function is given as;

5x – 2y = 15

Since we are dealing with rate of change, let's make y the subject first and find dy/dx.

Thus;

2y = 5x - 15

y = (5x/2) - 15/2

dy/dx = 5/2

dy/dx = 2.5

The verbal function is given as;

Cost of 5 pencils is 15 dollars

Thus, rate of 1 pencil = 15/5 = 3 pencils per dollar

We can see that the lowest rate of change is 2.5 and it is the algebraic function.

Last Thursday, each of the students in M. Fermat's class brought one piece of fruit to school. Each brought an apple, a banana, or an orange. In total, 20% of the students brought an apple and 35% brought a banana. If 9 students brought oranges, how many students were in the class

Answers

Answer:

20 students

Step-by-step explanation:

Step 1:

Calculate the percentage of students who brought oranges by taking away the percentage of students who brought bananas and apples from the total percentage of students.

100-(20+35)

=45

Step 2:

Equate the percentage of students who brought oranges to the number of students who brought oranges

45%=9

100%

(100×9)/45

=20 students

Julio is paid 1.1 times his normal hourly rate for each hour he works over 28 hours in a
week. Last week he worked 43 hours and earned $631.90.
Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation
how you know that your answer is reasonable.
The earnings equation is $631.90 =
Julio's hourly l'ate is $
per hour.
This is reasonable because working 43 hours at a rate of $14 per hour is
43 · 14 = 43(10 + 4) = 430 + 172 =
and $
is close to $631.90.

Answers

Answer:

43-28= 15 extra hours

normal hourly rate = a

extra hourly rate = 1.1a

28a + 15(1.1a) = 631.90

28a + 16.5a = 631.90

A bank wishes to estimate the mean balances owed by customers holding Mastercard. The population standard deviation is estimated to be $300. If a 98% confidence interval is used and the maximum allowable error is $80, how many cardholders should be sampled?
A. 76
B. 85
C. 86
D. 77

Answers

Answer:

D. 77

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The population standard deviation is estimated to be $300

This means that [tex]\sigma = 300[/tex]

If a 98% confidence interval is used and the maximum allowable error is $80, how many cardholders should be sampled?

This is n for which M = 80. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]80 = 2.327\frac{300}{\sqrt{n}}[/tex]

[tex]80\sqrt{n} = 2.327*300[/tex]

[tex]\sqrt{n} = \frac{2.327*300}{80}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*300}{80})^2[/tex]

[tex]n = 76.15[/tex]

Rounding up:

77 cardholders should be sampled, and the correct answer is given by option d.

Dividing integers
7. (-154) ➗ (-14) =
11. (-40) ➗10=
15. 90 ➗ (-15)=
16. 108 ➗ (-9)=
17. (-48) ➗ (-6)=
18. (-105) ➗ 7=

Answers

first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.

here,

7. (-154) ➗ (-14) =11

11. (-40) ➗10=-4

15. 90 ➗ (-15)=-6

16. 108 ➗ (-9)=-12

17. (-48) ➗ (-6)=8

18. (-105) ➗ 7=-15

hope it helps you..........

The job Andrew has this summer paid 7.25 an hour and the job he had last Summer paid 6.50 an hour. how much more does Andrew earn in a 40 hour week this summer than he did in a 40 hour week last summer

Answers

Answer:

30 Dollars more

Step-by-step explanation:

This summer he earned = 7.25 X 40 = 290

Last summer he earned = 6.5 X 40 = 260

How much more he earned in 40 hours = 290-260= 30 dollars more

Answer from Gauthmath

What is the solution of log3x + 4 4096 = 4?

Answers

Step-by-step explanation:

X= - 1

X=0

X=4/3

X=3

We solve for x by simplifying both sides of the equation, then isolate the variable.

Answer :

C (x=4/3)

Please help find the probability that x >25.

Answers

Answer

The total probability is one:

Total probability of being greater than 25 is 1 because the totals of all values less than 25 is 1.

I need help on this one please

Answers

Hi

Income tax is  progressive

So with  50 000  we have  :  

0.02*3000 + 0.03 ( 5000 -3001) + 0.05 ( 17 000-5001) + 0.0575 ( 50 000 - 17 001) =  60+ 59.97+599.95 + 1897.44 =  2617.36

tax is = 2617.36

I Miss math
What 2/3 ×5/7. = What

Answers

Step-by-step explanation:

heres the answer to your

I need to know this answe ASAP

Answers

Answer:

look at the value of f(x) carefully when we put 7 from x the x take 2 value

Step-by-step explanation:

And g(x) function take 4 value. please look at the first option it has extra 2 so 2 plus 2 equal to 4 this means that the answer might be A. But look at D option it multiply by 2 so D option might be correct answer but we need some info and I want to continue. When I put 1 from x f(x)=1 and g(x)= 2 but when we look at the first option it is 1+2 equal to 3 but it must be 2 so the correct answer is not A and the correct answer is D

Which number line represents the solutions to 1-2x = 4?

Answers

Answer:

The third choice down

Step-by-step explanation:

|-2x| = 4

There are two solutions, one positive and one negative

-2x = 4  and -2x = -4

Divide by -2

-2x/-2 = 4/-2    -2x/-2 = -4/-2

x = -2   and x = 2

5 increased by the product of -3 and a
number x
in algebraic expression

Answers

Answer:

5+(-3x)

Step-by-step explanation:

"5 increased by" means you are going to be adding 5 to something.

"product of -3 and x" means that you multiply -3 by x, creating (-3x)

The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as,

Product of -3 and a number x

⇒ -3 × x = -3x

Product increased by 5,

⇒ -3x + 5

Hence, the given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

What is the Width of 6.36-9.24

Answers

Answer:

-2.88

Step-by-step explanation:

6.36-9.24= -2.88

Maria, Kevin, and Dan have a total of 96$ in their wallets. Dan has 6$ less than Maria. Kevin has 3 times what Dan has. How much do they have in their wallets?

Answers

Answer:

Hi Keke,

Let Amy have x dollars. Then Jose has x - 8 dollars and Milan has 4(x - 8) dollars.

x + (x-8) + 4(x-8) = 152

6x - 40 = 152

6x = 192

x = 32

Amy has $32

Jose has 32 - 8 = $24

Milan has 4*24 = $96

An investment pays 21% interest compounded weekly what percent as a decimal is the effective annual yield? Enter your answer as a decimal rounded to four decimal places.

Answers

9514 1404 393

Answer:

  0.2332

Step-by-step explanation:

The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...

  e = (1 +r/n)^n -1

For weekly compounding, we have n=52, so ...

  e = (1 +0.21/52)^52 -1 = 0.2332 . . . . . . . about 23.32%

solve 3x-4=√(2x^2-2x+2)

Answers

Answer:

Step-by-step explanation:

Begin the solution by squaring both sides of the given equation.  We get:

(3x - 4)^2 = 2x^2 - 2x + 2, or:

9x^2 - 24x + 16 = 2x ^2 - 2x + 2

Combining like terms results in:

7x^2 - 22x + 14 = 0

and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92

According to the quadratic formula, the solutions are

       -b ± √discriminant           -(-22) ± √92             22 ± √92

x = ------------------------------- = ----------------------- = ------------------------

                   2a                                   14                            14

For the z test, the critical region for rejection of H0 _________. Group of answer choices depends on N is determined only by alpha and N allows us to accept the null hypothesis is determined only by alpha

Answers

Answer:

allows us to accept the null hypothesis

Explanation:

The z test(in a normal distribution) score for the critical region determines whether we reject the null hypothesis(H0) or accept the null hypothesis(reject or fail to reject the null hypothesis). If we fail to reject the null hypothesis, then we have accepted the alternative hypothesis (H1). The critical region rejection for z test is calculated using alpha and z score, if z score is greater or less than alpha(positive or negative), we reject the null hypothesis.

enter the number that belongs in the green box

Answers

5x - 2 = 4 + 2x

3x - 2 = 4

3x = 6

x = 2

Hope this helps!

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