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3 years ago

The sum of two consecutive integers is 75. Find the number

Mathematics

1 answer:

Luba_88 [7]3 years ago

4 0

Divide 75 by 2:

75 / 2 = 37.5

Now you need the whole number below 37.5 and the whole number above 37.5:

37 + 38 = 75

The numbers are 37 and 38

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What is the answer to 2/3x + 1 = 5

attashe74 [19]

Here are the steps. I'll try to make them as easy as possible :)

2/3x+1=5

Step 1: Subtract 1 from both sides.
2/x+1-1=5-1

Step 2: Multiply both sides from 3/2

(3/2)*(2/3x)=(3/2)*(4)

And the answer will be 6
x=6

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3 years ago

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You work for a rental car company. If customers return a car with under half a tank of gas, they are charged $8 per gallon of ga

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3 years ago

Find the value of l and b if perimeter is 100 cm

Daniel [21]

Answer:

I cant help because I dont know the length of one of the sides

Step-by-step explanation:

it would be i+b=100

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3 years ago

The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f

Anton [14]

Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

Direct proportion means that two quantities increase or decrease in the same ratio

If y is directly proportional to x (y ∝ x) , then $\frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}$ <em>OR</em> y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

proportional to the square of its speed s

- That means d ∝ s²

∴ $\frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}$

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵ The car require to stop from a speed of 48 miles per hour

on the same road

- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵ $\frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}$

- Substitute the values of $d_{1}$ by 75 feet, $s_{1}$ by 158400 feet/hour

and $s_{2}$ by 253440 feet/hour

∴ $\frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}$

∴ $\frac{75}{d_{2}}=\frac{25}{64}$

- By using cross multiplication

∴ 25 × $d_{2}$ = 75 × 64

- Divide both sides by 25

∴ $d_{2}$ = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

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3 years ago

Pls help!!!!

iris [78.8K]

from 300 to 250 is well, just a change of 50 units.

if we take the 300 as the 100%, what is 50 off of it as percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 300&100\\ 50&x \end{array}\implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x}\implies 6x=100 \\\\\\ x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x=16.666666\overline{6}\implies \stackrel{\textit{rounded up}}{x = 16.7}$

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3 years ago

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