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3 years ago

12

Evan budgets $2,000 a month to spend on living expenses for his family. Complete the table to express the portion spend on each

cost as a percent, fraction and decimal.

1 answer:

Naddika [18.5K]3 years ago

3 0

Answer:

FOOD:

Fraction = 1/4

Decimal = 0.25

Percent = 25%

RENT:

Fraction = 6/10

Decimal = 0.60

Percent = 60%

TRANSPORT:

Fraction = 3/20

Decimal = 0.15

Percent = 15%

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Step-by-step explanation:

The volume of a cylinder is given by

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V= 23 * 15

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Option C: The solution is $7x^{2} +2x-6$

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We need to solution of the given expression.

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What is the cube root of -729a^9b^6?<br> -9a^3b^2<br> -9a^2b^<br> -8a^3b^2<br> -8a^2b^3

timurjin [86]

Answer:

$= 9a^3b^2$

Step-by-step explanation:

$\sqrt[3]{-729a^9b^6} =$

$= ((-9)^3a^9b^6)^{\frac{1}{3}$

$= (-9)^{3 \times \frac{1}{3}} \times a^{9 \times \frac{1}{3}} \times b^{6 \times \frac{1}{3}}$

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2 years ago

a mechanic worked 20 hours. another mechanic worked 15 hours. together they charged a total of $1950. what was the rate charged

Natasha_Volkova [10]

Answer: The mechanics both charged $70 and $45 per hour respectively

Step-by-step explanation: We shall start by calling the mechanics hourly rates x and y respectively. So if one worked for 20 hours and charged 20 times x dollars, and the other one worked for 15 hours and charged 15 times y dollars, totalling 1950 dollars, we can write the following expression,

20x + 15y = 1950

Also, if the sum of the two rates was 115 dollars, that means for working for an hour only, they both would earn

x + y = 115

We now have a pair of simultaneous equations

20x + 15y = 1950 --------(1)

x + y = 115 ------------------(2)

We shall use the substitution method for this problem.

From equation (2), make x the subject of the equation

x = 115 - y

Substitute for the value of x into equation (1)

20(115 - y) + 15y = 1950

2300 - 20y + 15y = 1950

By collecting like terms we now have

2300 - 1950 = 20y - 15y

(Note that when a negative value crosses to the other side of the equation, it becomes a positive value and vice versa)

350 = 5y

Divide both sides of the equation by 5

70 = y

We now substitute for the value of y into equation (2)

x + y = 115

x + 70 = 115

Subtract 70 from both sides of the equation

x = 45.

Therefore, the rate they charged per hour were $45 and $70 respectively.

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