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3 years ago

Out of 32 students in Mr, Martins class 18 are boys . If this ratio is proportional

Mathematics

1 answer:

Elden [556K]3 years ago

4 0

Answer:

Step-by-step explanation:

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Write an inequality:<br><br> from (–5) to (–1) inclusive

Alekssandra [29.7K]

Answer:

Inclusive means that we'll use the signs ≤ and ≥. Let's call the variable in our inequality as x. Therefore, the answer is -5 ≤ x ≤ -1.

4 0

3 years ago

5/x - 3/4 =<br> Simplify

Verdich [7]

Answer:

$\frac{20-3x}{4x}$

Step-by-step explanation:

-This is an LCM problem.

-To simplify, we introduce a least common multiplier which is equivalent the product of the denominators:

$LCM=x\times 4\\\\=4x$

#We introduce the LCM and adjust the fractions based on it :

$=\frac{5}{x}+\frac{3}{4}\\\\\\=\frac{20}{4x}+\frac{3x}{4x}\\\\\\=\frac{20-3x}{4x}$

Hence, the simplified form of the fraction is: $\frac{20-3x}{4x}$

7 0

3 years ago

Solve for the equation 4a-8=28

hoa [83]

4a-8=28
add 8 to both sides to start to isolate the variable (a)
-8+8 cancels each other out
28+8=36
4a=36
to completely isolate the variable divide both sides by 4
4a÷4=a
36÷4=9
a=9

6 0

3 years ago

he table represents an exponential function. What is the multiplicative rate of change of the function? 0.2 0.25 0.5 0.75

Mila [183]

The Answer is C) 0.5

6 0

3 years ago

Read 2 more answers

A gambling casino is designed in the shape of a square pyramid with a side length of 75 ft. The height of the building is 28 ft.

irakobra [83]

Answer:

Step-by-step explanation:

Given the dimension of a square pyramid

Length of pyramid

L = 75 ft

Height of pyramid

H = 28ft

The pyramid is a square base

Then,

Volume of a pyramid is calculated using

Volume = base area × height

Since base is a square, then the area of a square is

Area = L² = 75² = 5625 ft²

Then,

Volume = base Area × height

Volume = 5625 × 28

Volume = 157,500 ft³

Then, given the rate of volume to be

dV / dt = 26,250 ft³ / hr

So, we want to find the time the system will filled the air

dV / dt = 26,250

dV = 26,250 dt

Integrate both sides

∫ dV = ∫ 26,250 dt

V = 26,250t + C

When t = 0, V = 0, initially, there is not volume of system air.

Therefore C = 0

V = 26,250t

When V = 157,500 ft³

Then,

t = V / 26,250

t = 157,500 / 26,250

t = 6 hours

So, it will take 6 hours for the system to circulate the room

5 0

3 years ago