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2 years ago

Find the quotient of 4.13 × 10^-8 and 0.04 × 10^5

Mathematics

1 answer:

ivanzaharov [21]2 years ago

4 0

The quotient is 103,250.

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Granite counter tops cost $40 for every square foot. The base pay to install the counter top is $750. Set up a Linear Model repr

garri49 [273]

Answer: y = 40x + 750

Step-by-step explanation:

Linear model;

y = mx + c

y is the total cost of buying granite counter tops for a certain number of square foot as well as the cost to install the counter top.

m is the cost of granite counter tops per square foot which is $40 in this case.

x is the number of square feet required.

c is the base pay for the installation of the counter top which is $750

Linear model will therefore look like this;

y = 40x + 750

To test it. Assume you want enough granite tops for 10 square feet. How much would it cost;

= 40 (10) + 750

= $1,150

8 0

2 years ago

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Find the slope of the line graph above

MakcuM [25]

the slope is -6/5. This is because it goes down 6, and then to the right for 5. You can also use the slope formula to solve this.

6 0

3 years ago

A truck rental company rents a moving truck One Day by charging $39 + 0.09 per mile write a linear equation that relates the cos

Ivanshal [37]

Answer:

$(a)\ c(x) = 39 + 0.09 x$

$(b)\ \$53.4$

Step-by-step explanation:

Given

$Base\ Charge = \$39$

$Rate = 0.09$ per mile

Solving (a): Linear Equation

The total charges (c(x)) is: the base charge + the rate * number of miles (x).

So, we have:

$c(x)= 39 + 0.09 * x$

$c(x) = 39 + 0.09 x$

Solving (b): Cost of rent, if miles = 160

This implies that x = 160

So, we have:

$c(x) = 39 + 0.09 x$

$c(160) = 39 + 0.09 *160$

$c(160) = 39 + 14.4$

$c(160) = 53.4$

7 0

2 years ago

Parallelogram JKLM is shown on the coordinate plane below:

LiRa [457]

The answer is J'(6, -2) M'(5,1)

4 0

3 years ago

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(01.05) Use the graph below to answer this question: graph of line going through negative 1, 4 and 2, 0 Find the average rate of

dsp73

1) Find the graph of a line passing through (-1, 4) and (2, 0).

The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:

$\frac{4-0}{-1-2} =\frac{4}{-3}$

The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

$y=\frac{-4}{3} x+b$

To find b, substitute x and y for one of the given coordinate pairs:

0 = (-4/3)(2) + b

0 = -8/3 + b

8/3 = b

Substitute the b value into the equation to finish the line:

$y=\frac{-4}{3} x+\frac{8}{3}$

4 0

2 years ago

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