All categories

3 years ago

Rectangular field has a total perimeter of 128 feet. The width is

Mathematics

2 answers:

Norma-Jean [14]3 years ago

8 0

Answer:

l = 44 ft

w = 20 ft

Step-by-step explanation:

Perimeter is

P = 2 ( l+w)

The width is

w = l -24

We know the perimeter is 128 and substituting into the equation for perimeter

128 = 2 ( l + l-24)

128 = 2 ( 2l -24)

Divide by 2

128/2 = 2/2 ( 2l-24)

64 = 2l - 24

Add 24 t o each sdie

64+24 = 2l

88 = 2l

Divide by 2

44 =l

The length is 44

Now find w

w = l - 24

w = 44-24

w = 20

Scrat [10]3 years ago

6 0

Answer:

$\boxed{l=44 \: \mathrm{feet}, \: \: w=20 \: \mathrm{feet}}$

Step-by-step explanation:

The width (w) = l - 24

The length (l) = l

The perimeter (P) = 128

The shape is a rectangle. Use the formula for the perimeter of a rectangle.

P = 2w + 2l

Plug in the values.

128 = 2(l - 24) + 2l

Solve for l.

Expand brackets.

128 = 2l - 48 + 2l

Combine like terms

128 = 4l - 48

Add 48 on both sides.

176 = 4l

Divide both sides by 4.

44 = l

Apply formula again.

P = 2l + 2w

Solve for w.

Subtract 2w and P on both sides.

-2w = 2l - P

Divide both sides by -2.

w = -l + P/2

Plug in the values for l and P, solve for w.

w = -(44) + 128/2

w = -44 + 64

w = 20

The length is 44 feet.

The width is 20 feet.

You might be interested in

8(3x - 4) = 4x - 2 What is x?

Serga [27]

Answer:

x=2/3

Step-by-step explanation:

8 (3x-4)= 4x-2

24x-32= 4x-2

20x=30

x=2/3

4 0

3 years ago

WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing

Andrews [41]

Answer:

Step-by-step explanation:

Given

3 $(x+9)^{\frac{3}{4} }$ = 24 ( divide both sides by 3 )

$(x+9)^{\frac{3}{4} }$ = 8

Raise both sides to the power of $\frac{4}{3}$

x + 9 = $8^{\frac{4}{3} }$ = $(\sqrt[3]{8}) ^{4}$ = $2^{4}$ = 16 ( subtract 9 from both sides )

x = 7 → C

5 0

3 years ago

Solve for X 8^3x-10 =4^6x-27 Thanks in advance!

dlinn [17]

$8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}$

6 0

3 years ago

Round 10.95 to the nearest tenth

Serhud [2]

Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.

The answer is 11.0 or just 11.

Ed: Explanation below.

11.00

10.99

10.98

10.97

10.96

10.95 Look at the 9. Then look to the right. Do I round up or down?

10.94

10.93

10.92

10.91

10.90

If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.

Therefore, the answer is 11.

5 0

3 years ago

Which exponential function is represented by the

Leno4ka [110]

Answer:

C, f(x) = 3(2)^x

Step-by-step explanation:

Since the y-intercept is 3, the function will have 3 multiplying by some number to the power of x.

As x increases by 1, we notice that y multiplies by 2 every time.

This leads us to believe that the equation is 3 * 2^x

8 0

3 years ago