The length of a rectangle is 3 yards less than 5 times the width. If the perimeter is 102 yards, find the length and the width of the rectangle.

Answers

Answer 1

Answer:

Width = 9 yards, length = 42 yards

Step-by-step explanation:

Perimeter = 2xlength + 2xwidth. Let's call length L and width W. The question also states that L = 5W-3. Therefore, 102 = 2x (5W-3) + 2W. Then, 102 = 12W - 6. 108 = 12W, so W = 9 yards. Since L = 5W - 3, we get 45-3 = 42 yards.

Answer 2
W = 9 yards L= 42 yards

Related Questions

Match the following equation to the correct situation 30%(b − 25) = 30%b − 7.5

Answers

Answer:

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvfvgvgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

Can you guys pls Help me on this

Answers

9514 1404 393

Answer:

  a) x > -2

  b) 7 ≤ y

  c) n ≤ 20

  d) g ≥ 19

  e) -5 < w

Step-by-step explanation:

Recognize the following English translations:

  "no more than" means "less than or equal to" (≤)

  "at least" means "greater than or equal to" (≥)

With these translations and the ones shown in your figure, you have ...

  a) x > -2

  b) 7 ≤ y

  c) n ≤ 20

  d) g ≥ 19

  e) -5 < w

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m​

Answers

Answer:

* 2/3 / formula then multiply the numbers then you get the answer

determine the domain and range of the function F= {(2,1),(30,-7),(34,1),(54,0)

Answers

Answer:

Domain = 2,30,34,54

Range = 1,-7,1,0

Step-by-step explanation:

Domain = x input

Range = y output

Your function is f(x) = y.

test.mapnwea.org
Use the information to answer the question.
A spinner had 5 equal sections, labeled A through E. After 100 spins, the spinner had landed on section A a total of 45 times.
Which two reasons would best explain why the expected probability and observed probability did not match?
A. The surface of the spinner was not even.
B. The speed of each spin was not consistent.
c. The size of each spinner section was equal.
D. The number of spins did not match the number of sections.




O A. The surface of the spinner was not even
UB. The speed of each spin was not consistent.
c. The size of each spinner section was equal.
UD. The number of spins did not match the number of sections.

Answers

Sorry hindi ko alam yan i

What does 11x11-6x6+18=

Answers

Answer:

103

Step-by-step explanation:

Hope this Helps :)

Need some help on this question please provide evidence on how you came up with the answer aswell.

Answers

Answer:

No and No

Step-by-step explanation:

Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.

Answer:

Step-by-step explanation:

If we are dealing with whole real numbers.

Both answers are based on the same idea.

The product of two numbers is even only if at least one of the two multiplicands is even.

The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.

This comes from number theory where multiplication is the repeated addition of one number a certain number of times.

If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.

If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.

[tex]\frac{5}{12} -\frac{2}{9}[/tex]

Answers

If u can combine the fractions and find a common denominator you get 7/36

Solve for the height of the building when the distance between the building and a person is 27
meters and the angle of elevation from the person is 49º. Construct a diagram to help you
solve. Round your answer to the nearest meter.

Answers

9514 1404 393

Answer:

  31 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

With reference to the attached diagram, we have ...

  tan(49°) = BG/GP

  BG = GP×tan(49°) = (27 m)×tan(49°) ≈ 31.0599 m

The height of the building is about 31 meters.

Evaluate. 4^3⋅(100÷25)−5^0

Answers

Given

[tex]4 {}^{3} .(100 \div 25) - 5 {}^{0} [/tex]

Solution

[tex] {4}^{3} \times (100 \div 25) - {5}^{0} \\ \\ = 64 \times 4 - 1 \\ \\ = 256 - 1 \\ \\ = 255[/tex]

[tex] \fbox \red{Hope This Helps }[/tex]

Answer:

255

Step-by-step explanation:

1) Simplify 100 ÷ 25 to 4.

4³ × 4 - 5⁰

2) Use Rule of Zero: x⁰=1

4³ × 4 - 1

3) Use Product Rule

4⁴ - 1

4) Simplify 4⁴ to 256

256 - 1

5) Simplify

255

Instructions: Create a table of values for the given function.
Function: f(x) = -4x + 3

Answers

Answer:

Domain: {-2, -1, 0, 1, 2}

Range: {-5, -1, 3, 7, 11}

Step-by-step explanation:

Given the function, f(x) = -4x + 3:

We could simply substitute the given x-values into the function to solve for its corresponding y-values:

x = -2:

f(-2) = -4(-2) + 3

f(-2) = 8 + 3

f(-2) = 11

x = -1:

f(-1) = -4(-1) + 3

f(-1) = 4 + 3

f(-1) = 7

x = 0:

f(0) = -4(0) + 3

f(0) = 0 + 3

f(0) = 3

x = 1:

f( 1 ) = -4( 1 ) + 3

f( 1 ) = -4 + 3

f( 1 ) = -1

x = 2:

f(2) = -4(2) + 3

f(2) = -8 + 3

f(2) = -5

Attached is a screenshot of the table containing the same solution displayed in this post.

Help please fast the format is Y-____=_____(x - ____) and i need the actual answer

Answers

9514 1404 393

Answer:

y -195 = 15(x -9)$60

Step-by-step explanation:

The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...

  y -195 = 15(x -9)

__

The "one-time fee" is the cost when hours are zero.

  y -195 = 15(0 -9)

  y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate

The one-time fee is $60.

Convert 60 Litres to gallons

Answers

Answer:

15.18

Step-by-step explanation:

Carry on learning:)))

Use the hundredths grid to answer the question.

A 10 by 10 grid is shown. 3 columns and 6 squares are red. 2 columns and 7 squares are blue.

Which of the equations is shown by the shaded area of the model?

A.
0
.
29

+

0
.
37
=
0
.
63
B.
0
.
34
+
0
.
23
=
0
.
57
C.
0
.
36
+
0
.
27
=
0
.
63
D.
0
.
24
+
0
.
33
=
0
.
57

Answers

9514 1404 393

Answer:

  C.  0.36 +0.27 = 0.63

Step-by-step explanation:

3 columns and 6 squares of a hundredths grid is a representation of ...

  0.30 +0.06 = 0.36

2 columns and 7 square is a representation of ...

  0.20 +0.07 = 0.27

The total shaded area is the sum of these:

  0.36 +0.27 = 0.63

Click this if you are a savage

Answers

Answer:

i  am

Step-by-step explanation:

pro!

uhfy1gujhqfvwtfu

What is the measure of

Answers

3x=90 2x=50
And the last one is 40

Answer:

30

Step-by-step explanation:

because 3 times 30 is 90,and 2 times 30 is 60 plus 30 would be equal to 180

Which expression is equivalent to 1/4(5x+6)?
Answer choice :A: (5 1/4x) + (6 1/4x) B: 3/4x + 6/4 - 1/4x C:3/4x + 3/4 + 3/4 + 2/4x D: (1/4x +5) + 1/4x + 6

Answers

9514 1404 393

Answer:

  C:  3/4x + 3/4 + 3/4 + 2/4x

Step-by-step explanation:

The various expressions simplify to ...

  given: 5/4x +6/4

  A: 46/4x

  B: 2/4x +6/4

  C: 5/4x +6/4

  D: 2/4x +11

Need the answer for a

Answers

Answer: 6 10

Step-by-step explanation:

Can anyone please help me

Answers

9514 1404 393

Answer:

  (a)  f(3) < g(3)

Step-by-step explanation:

Put the number where the variable is and do the arithmetic.

  f(3) = 4·3³ = 4·27 = 108

  g(3) = 3·4³ = 3·64 = 192

  108 < 192

  f(3) < g(3)

PLEASE EXPLAIN AND PLEASE HELP ME AND EXPLAIN I NEED HELP​

Answers

its right because

6 x 5 is the area of the leftmost rectangle

4 x 5 is the area of the bottom rectangle

3 x 5 is the area of the rightmost rectangle

5 x 5 is the area of the slanted square on the top

the last term is the area of the trapezoid, which is (base1 + base2) x height /2

they split the trapezoid thing into a square and a triangle, which gets you the same answer

they multiplied it by 2 because there are 2 trapezoids

Define the function
3
g(x) = x^3+ x
. If
f(x) = g^-1(x)
and
f(2) = 1
what is the value of
f'(2)
?

Answers

Given that

[tex]g(x) = x^3 + x[/tex]

the inverse [tex]g^{-1}(x)[/tex] is such that

[tex]g\left(g^{-1}(x)\right) = g^{-1}(x)^3 + g^{-1}(x) = x[/tex]

or

[tex]g\left(f(x)\right) = f(x)^3 + f(x) = x[/tex]

Differentiating both sides using the chain rule gives

[tex]3f(x)^2f'(x) + f'(x) = 1 \\\\ f'(x) \left(3f(x)^2+1\right) = 1 \\\\ f'(x) = \dfrac1{3f(x)^2+1}[/tex]

Then the derivative of f at 2 is

[tex]f'(2) = \dfrac1{3f(2)^2+1} = \boxed{\dfrac14}[/tex]

I got 445.1 as the answer because it says round to the nearest tenth so 446 is wrong. is 445.1 right ?

Answers

Answer:

yes your correct

Step-by-step explanation:

What is 1,432 rounded to the nearest 100?

Answers

1,400 is 1,432 rounded to the nearest 100! :)

Answer:

1400

Step-by-step explanation:

1432 is closer to 1400 than 1500 because it ends in 32 and is below 50 on the number line

x + 3y >/3
5x + 3y -9

Answers

5x +3y -9
Answer: 15y -9

OMG I NEED HELP BADLY RN

n which quadrant does the point (6 , -1) lie?

A.
Quadrant I

B.
Quadrant II

C.
Quadrant IV

D.
Quadrant III

Answers

Answer:

C) Quadrant 4

Step-by-step explanation:

Hope this helps! Pls give brainliest!

What is the average rate of change of g(x)=4x+5 ​?

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The equation is in slope-intercept form:

  y = mx +b

where m is the slope (average rate of change).

In the given equation, m = 4.

The average rate of change is 4.

What is 18×10^20.

I really want to know what 10^20 is i can do the rest on my own- I need a real number, not 1e+20.​

Answers

Answer:

1,800, 000, 000 ,000, 000 ,000, 000

simplified:

1.8e+21

Step-by-step explanation:

when it says 1e+20 that means there is 20 zeroes behind it:

100, 000, 000 ,000, 000 ,000, 000

Have a nice day!

the answer to 10^20 is 100,000,000,000,000,000,000

A cyclist travels at an average speed of 15 mph for 4 hours. How far did she travel in miles?

Answers

Answer:

60 miles per hour

Step-by-step explanation:

15 mph (miles per hour) and he traveled for 4 hours so 15 per hour times 4 which is 60 and thats your answer

60 miles pee hour :)

Paul paid $663 for a new freezer. He paid for the freezer with his credit card, which has an interest rate of 15.28% compounded monthly, and made monthly payments for five years until the freezer was paid off. He kept the freezer for seven years, and it used an average of $2.14 of electricity per week. Paul made no other purchases or payments with his credit card until the freezer was paid off. Between the interest and the electricity, which component of the lifetime cost of the freezer was greater, and how much greater was it? (Round all dollar values to the nearest cent.)
a.
The interest cost $106.60 more than the electricity.
b.
The interest cost $173.24 more than the electricity.
c.
The electricity cost $489.76 more than the interest.
d.
The electricity cost $115.96 more than the interest.

Answers

Answer:

c

Step-by-step explanation:

The electricity cost $489.76 more than the interest.

Thus, option C is correct.

What is Interest cost?

Interest cost is the total measure of interest a borrower pays on an obligation commitment over the existence of the getting. Interest is paid on the obligation notwithstanding reimbursement of head.

The formula will be:

I = A - P

I = 663(1 + 0.1528/12)^(5*12) - 663

I = 663(1 + 0.1528/12)^60- 663

I = 1416.51 - 663

I = $753.51

The bill for electricity for 7 years and 52 weeks per year  will be

= 7 x 52 x 2.14

= $778.96

The electricity cost is bigger than the interest:

$778.96 is bigger than $753.51 by $25.45:

$778.96 - $753.51 = $25.45.

Therefore, option C is correct.

Learn more about interest cost, here:

brainly.com/question/29480777

#SPJ5

10. The graph of linear equations in two variables is a
A. Straight line
B. curve line
D. half line
C. broken line​

Answers

I believe it would be a straight line!
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