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svetoff [14.1K]
3 years ago
9

NEED HELP ASAP PLEASE AND THANK YOU IN ADVANCE ​

Mathematics
1 answer:
dusya [7]3 years ago
8 0

Answer:

C

Step-by-step explanation:

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14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.
Pavel [41]

Answer:

Length  =25 inches

Width = 15 inches

Step-by-step explanation:

Let l = length of rectangle, w = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

lw = 375

2l+2w=80

So:

l+w = 80\div2

=40

l=40-w

Now, we can use substitution to find the value of w:

lw = 375

(40-w)w = 375

40w-w^2 = 375

375+w^2-40w = 0 (Quadratic equation)

(w-15)(w-25) = 0

∴ w = 15, 25

We can use substitution again to find the value of l

lw = 375

l=375\div w

=25,15

∵ Length usually refers to the longer side of a rectangle, ∴ length =25 inches and width =15 inches.

Hope this helps :)

8 0
3 years ago
Simplify: 5 + p &gt; 3<br><br> ;-;
ki77a [65]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

5+p>3  Equation

Step 2

5+ p>3  Simplify

5+p>3

Step 3

5+p>3  Subtract 5

answer

p>-2

7 0
3 years ago
A new crew of painters can paint a small apartment in 12 hours and experience crew can paint a small apartment in six hours how
dalvyx [7]

Answer:

The new crew and the experience crew working together can paint the apartment in 4 hours.

Step-by-step explanation:

Given:

Time taken by new crew of painters to paint an apartment = 12 hours

Time taken by experience crew of painters to paint an apartment = 6 hours

To find the time taken by them to  paint the apartment working together.

Solution:

Using unitary method to determine their 1 hour work.

In 12 hours the new crew can paint = 1 apartment

So,in 1 hours the new crew can paint = \frac{1}{12} of the apartment

In 6 hours the experience crew can paint = 1 apartment

So,in 1 hour the experience crew can paint = \frac{1}{6} of the apartment

Now, the new crew and the experience crew are working together.

So, in 1 hour, they can paint :

⇒ \frac{1}{12}+\frac{1}{6}

Taking LCD = 12, we will add fraction.

⇒ \frac{1}{12}+\frac{2}{12}

⇒ \frac{3}{12}

Simplifying fraction we have:

⇒ \frac{1}{4} of an apartment

Again using unitary method to determine the time taken by them working together to paint the whole apartment.

They can paint  \frac{1}{4} of an apartment in 1 hour.

To paint 1 apartment they will take  = \frac{1}{\frac{1}{4}}=4 hours

Thus, the new crew and the experience crew working together can paint the apartment in 4 hours.

7 0
4 years ago
Write the slope-intercept form of the equation of the line described.
iren2701 [21]

Answer:

9) y=3x+11

10) y=-3x-6

Step-by-step explanation:

plug the numbers in to find your y intercepts

6 0
3 years ago
Are the equations – 2x = 10 and -5x = 25 equivalent? Explain
Dahasolnce [82]

Answer:NO

Step-by-step explanation:

7 0
4 years ago
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