2 years ago

In 1/8 days, a construction crew built 1/4 miles of a road. What is the unit rate in miles per day.

Mathematics

1 answer:

tigry1 [53]2 years ago

4 0

The unit rate of road construction is 2 miles per day.

Step-by-step explanation:

Given,

In $\frac{1}{8}$ days $\frac{1}{4}$ miles road is constructed.

To find

The rate of road constructed per day

Method

We will apply unitary method to solve it.

Now,

In $\frac{1}{8}$ days $\frac{1}{4}$ miles road is constructed.

In 1 day the road will be constructed = $\frac{1}{4}$ ÷ $\frac{1}{8}$ miles

= 2 miles

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The dimensions of a rectangle are such that its length is 3 inches more that its width. If the length and width were decreased b

nalin [4]

Let L be the length and W be the width. The equations that represents the given conditions are,
(1) L = W + 3
(2) A = (L - 1) x (W - 1) = 150
A = (W + 3 - 1) x (W - 1) = 150
The value of W is 11.8389 in. The width is therefore, 11.8389 in and the length is 14.8389 in.

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2 years ago

a country's population in 1994 was 52 million in 2000 it was 55 million estimate the population in 2003

atroni [7]

[email protected] = 52,000,000
[email protected] = 55,000,000
[email protected] = ?
r = ?

Equation: P = Po * e^(rt)
-----
Solve r:
P/Po = e^(rt)

ln(P/Po) = rt
r = ln(P/Po)/t
r = ln([email protected]/[email protected])/(2000-1994)
r = ln(55M/52M)/6
r = 0.009348

----
Solve for [email protected]
t = 2003 - 1994 = 9

[email protected] = [email protected] * e^(rt)
[email protected] = 52M * e^(0.009348*9)
[email protected] = 56,564,292.9

approximately 57M.

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2 years ago

Kelly got a part time job and had to pay $150 worth of taxes, which was 10% of her monthly payment. How much money did she make

zalisa [80]

Answer:

$1,500

Step-by-step explanation:

To find how much money she made before paying taxes, divide 150 by 0.1:

150/0.1

= 1500

So, Kelly made $1,500 before taxes

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Answer:

Step-by-step explanation:

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1. The area of a circle is
$a = \pi {r}^{2}$
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$a = (3.14) {(1.7)}^{2} \\ = 9.0746$
The area is 9.07 cm^2.

2. The volume of a cube is
$v = {s}^{3}$
$s = 4.5$
$v = {(4.5)}^{3} \\ = 91.125$
The volume is 91.125 m^3

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3 years ago