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V125BC [204]
3 years ago
14

At the end of school, Josh's teacher handed out 27 coupons for bowling during the summer to each student. The third week of

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0

The answer would be 4 Coupons

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Evaluate + for x = 6, y = -4, and z = -2.
Aleksandr-060686 [28]
6 + -4 = -2= 0.......................
6 0
2 years ago
Find the volume of a cube whose length is 5cm​
Veronika [31]

Answer:

The answer is 125.

Step-by-step explanation:

The formula for volume of a cube is s^3, where s is the length of a side. (Weirdly, you cube a cube.)

So, when you cube 5, the answer is 125.

4 0
3 years ago
Help! It’s slope-Intercept form:Write an equation from a table
muminat

Answer:

the answer would be f(x)=-5x+41

Step-by-step explanation:

you start by calculating the change in y (or f(x)) and dividing that by the change in x or y2-y1/x2-x1. the answer you should get is the slope (mx). from there you calculate the y intercept (b) by simply finding when x=0. now you put it all together, y=mx+b or f(x)=-5x+41

6 0
2 years ago
Read 2 more answers
A school raised $4,111 in donations. They plan to use the money to buy new social studies textbooks. Each textbook costs $40. Es
Debora [2.8K]

Answer:

102 textbooks

Step-by-step explanation:

From the above question,

The total amount in donations = $4,111 . They plan to use the money to buy new social studies textbooks. Each textbook costs $40.

If :

$40 = 1 textbook

$4,111 = x text books

Cross Multiply

40 × x textbooks = $4,111 × 1

x = $4,111/40

x = 102.775 textbooks

Since the number of textbooks is whole number and it cannot in be decimal, the number of textbooks they can purchase is 102 textbooks

4 0
3 years ago
Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis
stealth61 [152]

Complete question is;

Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola. (Round your answers to the nearest hundredth.) y = 6 - x²

Answer:

height = 4 and base = 2√2

Step-by-step explanation:

Area of a rectangle is given by;

A = base(b) × height(h)

To start off, we will first have to consider half of the rectangle.

Due to the fact that it is bounded by a parabola which is symmetric over the y-axis, it means that the rectangle will have the same area on the right and left hand sides.

So if we maximize the area of the first quadrant, it means that we are also maximizing the area of the entire rectangle.

Now, since we are dealing with the base and other 2 vertices on the x-axis, it means that the base(b) of this half rectangle will be x.

The height of this rectangle is the y coordinate of the corner that is directly above the x coordinate, which is also on the rectangle.

Therefore, the coordinates of the upper corner will be (x, y), or (x, 6 - x²). Thus our half base is x and full height is 6 - x². Area will be;

A = x(6 - x²)

A = 6x - x³

We will maximize this area by finding the derivative and equating to zero.

Thus;

A' = 6 - 3x²

At A' = 0,we have;

6 - 3x² = 0

3x² = 6

x² = 6/3

x² = 2

x = √2

Thus, from y = 6 - x², we have;

y = 6 - (√2)²

y = 6 - 2

y = 4

Since x is half base, it means our full width is 2x = 2 × √2 = 2√2

So, height = 4 and base = 2√2

8 0
3 years ago
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