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AysviL [449]
3 years ago
8

If z varies directly as x and z=30 when x=8 fine z when x=4

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0
So for this one all you have to do is use the formular

Z*k=x

30k=8

K=4/15

Then when x=4


4/15x=4

So x=15
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will brought 3 college textbooks one cost 32 on 45 and one cost 39 what is the average price of his books ? choose the statement
777dan777 [17]

To find the average, add the cost of each book to get a total cost, then divide the total cost by the number of books purchased.


Total cost: 32 + 45 + 39 = 116


Average cost: 116 / 3 = 38.67

4 0
4 years ago
A gardener uses a coordinate grid to design a new garden. The gardener uses polygon WXYZ on the grid to represent the garden. Th
ValentinkaMS [17]

Answer:

A square

36 square yard.

Step-by-step explanation:

Given the following information:

W(3,3), X(-3,3), Y(-3,-3), and Z(3,-3)

So we need to graph those vertices and connect them in order.

(please have a look at the attached photo)

From the graph, it clear that the shape of the garden is a square.  

Then, we need to calculate the length of the four sides

<u>Find the length of the side YZ. </u>

The length of side YZ  =  3 + 3  =  6 yards  because point Y and Z are on the same line y = -3 so we just need to find the distance between their x coordinate

<u>Find the length of the side WZ.</u>

The length of side WZ  =  3 + 3  =  6 yards because point W and Z are on the same line x = 3 so we just need to find the distance between their y coordinate

=> the area of the square WXYZ:

= YZ*WZ

= 6*6

= 36 square yard.

7 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
fiasKO [112]

y = -\frac{1}{2}x - 1

Step-by-step explanation:

Let's pick two points on the line: P_1(-4, 1) and P_2(2, -2). Let's calculate the slope of this line using these points:

m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}

With this value of the slope, we can write the general slope-intercept form of the equation as

y = -\frac{1}{2}x + b

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1

Therefore, the slope-intercept form of the equation is

y = -\frac{1}{2}x - 1

6 0
2 years ago
Write as a product of two polynomials.<br><br> 2(3-b)+5(b-3)^2
viktelen [127]

Answer:

5b^{2}-32b+51

Step-by-step explanation:

2(3-b)+5(b-3)^{2}

=6-2b+5b^{2}-30b+45

=5b^{2}-32b+51

4 0
2 years ago
You can trim the grass using a lawnmower at a rate of 80 square feet per minute. You can use a string trimmer at a rate of 20 sq
docker41 [41]
So first its 20 x 20 which is 400 so then the lawnmower does 80 per min so 80 x 5 and u get 400

5 0
3 years ago
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