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lubasha [3.4K]
2 years ago
8

A store manager predicts that 100 hats will be sold if each hat costs $12. The manager predicts that 4 less hats will be sond fo

r every $1 increase in price. For what prices can the manager predict that 60 hats will be sold?
Mathematics
1 answer:
vampirchik [111]2 years ago
3 0

Answer:

100-60=40

40/4=10

10*$1=$10

$12+$10=$22

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A man sells a type of nut for $7 per pound and a different one for $4.20 per pound, how much of each type should be used to make
qwelly [4]

Answer:

a type nut is 10 pounds

a different one is 14 pounds

Step-by-step explanation:

let a type of the nut be represented by t

Let a different one be represented by d

a type of nut cost $7 per pound

a different one cost $4.20 per pound

The cost of the mixture for 24 pounds = 5.37 * 24

= $128.88

t + d = 24 ........(1)

7t + 4.2d = 128.88 ..........(2)

From equation (1), t = 24 - d

Put t = 24 - d in equation 2

7(24 - d) + 4.2d = 128.88

168 - 7d + 4.2d = 128.88

168 - 2.8d = 128.88

-2.8d = 128.88 - 168

-2.8d = -39.12

d = -39.12 / -2.8

d= 13.97

d = 14 pounds

t = 24 - d

t = 24 - 14

t = 10 pounds

A type nut is 10 pounds. A different one is 14 pounds

5 0
3 years ago
Read 2 more answers
A transformation T : (x, y) → (x + 3, y + 1). Find the preimage of the point (4, 3) under the given transformation. (7, 4) (1, 2
motikmotik

Answer:

(1, 2)

Step-by-step explanation:

Remember that the final shape and position of a figure after a transformation is called the image, and the original shape and position of the figure is the pre-image.

In our case, our figure is just a point. We know that after the transformation T : (x, y) → (x + 3, y + 1), our image has coordinates (4, 3).

The transformation rule T : (x, y) → (x + 3, y + 1) means that we add 3 to the x-coordinate and add 1 to the y-coordinate of our pre-image. Now to find the pre-image of our point, we just need to reverse those operations; in other words, we will subtract 3 from the x-coordinate and subtract 1 from the y-coordinate.

So, our rule to find the pre-image of the point (4, 3) is:

T : (x, y) → (x - 3, y - 1)

We know that the x-coordinate of our image is 4 and its y-coordinate is 3.

Replacing values:

                (4 - 3, 3 - 1)

                (1, 2)

We can conclude that our pre-image is the point (1, 2).

6 0
3 years ago
Describe and correct the error in finding the slope of the line passing through <br> (0,0) and (4,5)
Verdich [7]

Answer:


Step-by-step explanation:

o,o is in the origin

6 0
3 years ago
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Vlad [161]

Answer:

2w=3-1

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w=2/2

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Step-by-step explanation:

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8 0
2 years ago
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m = -1/2

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