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2 years ago

Find the length and width of a rectangle. Perimeter = 50 Side A = 3x + 2 Side B = x - 5

Mathematics

2 answers:

nirvana33 [79]2 years ago

6 0

Answer:

Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

Step-by-step explanation:

zmey [24]2 years ago

4 0

Step-by-step explanation:

Perimeter = 2 * (Side A + Side B)

= 2 * (3x + 2 + x - 5)

= 2 * (4x - 3)

= 8x - 6.

We have 8x - 6 = 50, so 8x = 56 and x = 7.

Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

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yulyashka [42]

Answer:

34° is the closest to the record high in degree Fahrenheit ⇒ C

Step-by-step explanation:

∵ The formula F = $\frac{9}{5}$ C + 32 is used to convert the temperature from

degrees Celsius (C) to degree Fahrenheit (F)

∵ The high temperature in Chicago is 1° Celsius

→ Substitute C in the formula above by 1

∴ F = $\frac{9}{5}$ (1) + 32

∴ F = $\frac{9}{5}$ + 32

∴ F = 33.8°

→ Round it to the nearest degree Fahrenheit

∴ F ≅ 34°

∴ 34° is the closest to the record high in degree Fahrenheit

7 0

2 years ago

7 times something equals 94

Mariulka [41]

7 × __ = 94

Divide by 7 on both side.

__ = 94 ÷ 7

Answer = 13 3/7

8 0

2 years ago

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Bill found a book he wanted on sale for $20.80. The original price of the book was $32. Find the discount rate.

Maurinko [17]

Answer:

35% discount

Step-by-step explanation:

We can first find what percent of 32 20.80 is.

This can be shown by using a percent proportion.

$\frac{20.80}{32} = \frac{x}{100}$

We can cross multiply to find the value of $x$ .

$20.80\cdot100=2080\\\\2080\div 32 = 65$

So 20.80 is 65% of 32.

However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.

$100 - 65 = 35$

So the book was on a 35% discount.

Hope this helped!

3 0

3 years ago

20)

Nataly [62]

Answer:

babysitting = $9

working at coffeehouse = $12

x = hours for babysitting

y = hours at coffeehouse

minimum = ≥

9x + 12y ≥ 240

Step-by-step explanation:

just a short note on which symbol you should use when you see these words in inequality questions:

i) use ≥

-more than or equal to

-not less than

-at least

-minimum

ii) use >

-more than

-greater than

iii) use ≤

-less than or equal to

-not more than

-at most

-maximum

iv) use <

-less than

7 0

2 years ago

100 POINTS AND BRAINLIEST

zysi [14]

Answer:

8 square units and $\frac{40}{3}$ square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor $\frac{1}{3},$ then

$\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.$

2. Triangles ABC and DBE are similar with scale factor $\frac{2}{3},$ then

$\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.$

3. Thus, the area of the quadrilateral DFGE is

$A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.$

and the area of the quadrilateral ADEC is

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4 0

2 years ago

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