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enot [183]
4 years ago
15

Apply the distributive property to factor out the greatest common factor 70-40p

Mathematics
1 answer:
LUCKY_DIMON [66]4 years ago
5 0

Answer:

10(7-4p)

Step-by-step explanation:

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The smartest person can only help with the method please help <br> 3 1/4 divided by 2
nevsk [136]

Answer:

13/8 = 1 5/8

Step-by-step explanation:

first make 3 1/4 into an improper fraction

3 1/4 = (3*4+1)/4 = 13/4

13/4 /2

we know that dividing by a number is multiplying by its reciprocal, so

(13/4)/2 = 13/4 * (1/2)

multiply the numerators together, and multiply the denominators together

13/4 * (1/2) = (13*1)/(4*2) = 13/8 = 1 5/8

6 0
3 years ago
The first 5 terms of a sequence are shown below:
slamgirl [31]

Answer:

c: -7

Step-by-step explanation:

7 0
3 years ago
Delaney bought a crate for her puppy when it was 3 months old. The crate is in the shape of a rectangular prism. Since the puppy
Alika [10]

Answer:

The volume of the new crate is exactly 174.4% of the old crate.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism of dimensions x, y and z is given by:

V = xyz

She decided that the dimensions of the new crate needs to be increased by 40% of the original length.

Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So

V = 1.4x(1.4y)(1.4z) = (1.4)^3(xyz) = 2.744(xyz)

Percentage:

The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.

The volume of the new crate is exactly 174.4% of the old crate.

7 0
3 years ago
James is 105 pounds. His coach
qaws [65]
You have to do 12 times 4, which equals 48. So 48 pounds in a year. 105 plus 48 would be 153 so that would be his weight by next year
8 0
2 years ago
The table below models the cost, y, of using a high-efficiency washing machine and a standard washing machine over x number of y
SSSSS [86.1K]

ANSWER:

i) y = 25x + 500

ii) y = 30x + 400

iii) The washing machines would cost the same amount after 20 years of use

iv) Standard machine

Step-by-step explanation:

i)

We are to determine a straight line equation that models the cost of High-Efficiency washing machine over the years;

The first step step is to determine the slope of the line,

( change in y) / ( change in x ) = (550 - 525) / ( 2 - 1) = 25

The equation is slope-intercept form will be;

y = 25x + c

Where y is the cost of the High-Efficiency washing machine and x the number of years. To determine the y-intercept, c, we use any pair of points given in the data table;

when x = 1, y = 525

525 = 25(1) + c

c = 500

Therefore;

y = 25x + 500

ii)

The straight line equation that models the cost of Standard washing machine over the years;

Slope = (460 - 430) / (2 - 1) = 30

The equation is slope-intercept form will be;

y = 30x + c

when x = 1, y = 430

430 = 30(1) + c

c = 400

Therefore;

y = 30x + 400

Where y is the cost of the standard washing machine and x the number of years.

iii)

Given the cost functions for both machines over the number of years, we simply equate the two equations and determine the value of x when both machines would cost the same amount;

We have the cost functions;

y = 25x + 500

y = 30x + 400

Equating the two and solving for x;

25x + 500 = 30x + 400

500 - 400 = 30x - 25x

100 = 5x

x = 20

Therefore, the washing machines would cost the same amount after 20 years of use.

iv)

In order to determine which machine would be the more practical purchase if kept for 9 years we use the cost functions obtained in i) and ii)

The cost function of the High-Efficiency washing machine is;

y = 25x + 500

To determine the cost, we solve for y given x = 9

y = 25(9) + 500

y = 725

The cost function of the Standard washing machine is;

y = 30x + 400

We solve for y given x = 9

y = 30(9) + 400

y = 670

Comparing the two values obtained, the cost for the Standard washing machine is more practical.

3 0
3 years ago
Read 2 more answers
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