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3 years ago

Finding the product

Mathematics

1 answer:

pshichka [43]3 years ago

6 0

Use a box. Split the terms into the boxes and then multiply across. Sort of like area multiplication, only with terms.

3 5x
4y 12y 20xy

3 9 15x

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Write the equation of the line in slope-intercept form (y=mx+b) that has the slope m=2 and a y-intercept (0,4)

Bas_tet [7]

Answer:

The equation is

$y = 2 x + 4$

7 0

3 years ago

The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

agasfer [191]

Answer:

a. f(h) = 100 + mh and g(h) = 100 + 2mh

b. The slope of g(h) is double of slope of f(h).

c. f(x) = 100 + mx.

Step-by-step explanation:

The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

a. If the hourly rate is $m per hour, then the function f(h) represents the cost of renting the tractor for h hours, then

f(h) = 100 + mh .......... (1)

If the hourly rate is doubled i.e. 2m, then the function g(h) represents the cost of renting the tractor for h hours, then

g(h) = 100 + 2mh ........... (2)

b. If we graph the function f(h) then the slope of the equation will be m and the y-intercept will be 100.

If we graph the function g(h) then the slope of the equation will be 2m and the y-intercept will be 100.

Therefore, in the case of g(h), the slope will be double the slope of f(h).

c. If the tractor is rented for x hours, then the function f(h) will be

f(x) = 100 + mx. (Answer)

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4 years ago

A science class has 4 girls and 4 boys in the seventh grade and 5 girls and 7 boys in the eighth grade. The teacher randomly sel

e-lub [12.9K]

Answer:

<u>The correct answer is 5/24 or 0.21</u>

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly:

Science class in seventh grade = 4 girls and 4 boys

Science class in eighth grade = 5 girls and 7 boys

2. What is the probability that both students selected for the competition are girls, a seventh grader and an eighth grader?

These are independent events, therefore:

Probability of two independent events = Probability of A * Probability of B

Probability of both students selected for the competition are girls = 4/8 * 5/12

Probability of both students selected for the competition are girls = 20/96 = 5/24

<u>The correct answer is 5/24 or 0.21</u>

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3 years ago

Write a division sentence that tell what the model represents

Studentka2010 [4]

Wheres the picture of the model

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3 years ago

James Harmon pays $850.80 per year for his life insurance. If Mr. Harmon were to pay the premiums monthly, the payments would be

Deffense [45]

Answer:

8.0%

Step-by-step explanation:

We have been given that James Harmon pays $850.80 per year for his life insurance. If Mr. Harmon were to pay the premiums monthly, the payments would be $76.57.

First of all, we will find the amount paid for the year using the monthly rate by multiplying $76.57 by 12 (1 year = 12 months).

$\text{Amount paid for the year using the monthly rate}=\$76.57\times 12$

$\text{Amount paid for the year using the monthly rate}=\$918.84$

Now, we will use percent change formula.

$\text{Percent change}=\frac{\text{Final value}-\text{Initial value}}{\text{Initial value}}\times 100$

$\text{Percent change}=\frac{\$918.84-\$850.80}{\$850.80}\times 100$

$\text{Percent change}=\frac{\$68.04}{\$850.80}\times 100$

$\text{Percent change}=0.0799717912552891\times 100$

$\text{Percent change}=7.99717912552891\%$

$\text{Percent change}\approx 8.0\%$

Therefore, Mr. Harmon is paying 8.0% more for the year using the monthly rate.

3 0

3 years ago