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Phantasy [73]
4 years ago
6

you help a teacher move books. the math books weigh 3 pounds each. the science books weigh 4 pounds each. you can carry 24 pound

s in one load

Mathematics
1 answer:
Radda [10]4 years ago
3 0

Answer:

  • see the attachment for a graph
  • yes, you can carry 5 math books in one load (along with 0–2 science books)

Step-by-step explanation:

If x and y represent the number of math and science books you're carrying, respectively, then 3x and 4y represent their weights in pounds.

The total weight of the carry will be 3x+4y, and you want that to be at most 24 pounds. The expression modeling this is ...

... 3x +4y ≤ 24

A graph of this inequality is shown in the attachment. (We have added the constraints that the number of books not be negative.)

___

5 math books will weigh 5·3 = 15 pounds, so will be within the limit you can carry.

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3 years ago
Find an equation of variation where y varies directly as x and y = 7 when x = 0.5 .
Alisiya [41]

Answer:

y = 14x

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in 7 as y and 0.5 as x, and solve for k:

y = kx

7 = k(0.5)

14 = k

Plug this into the equation:

y = kx

y = 14x

So, the equation of variation is y = 14x

4 0
3 years ago
Stilton is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied
timofeeve [1]

Answer:

$19.76

Step-by-step explanation:

First you turn the 15% to 0.15 and then you multiply it with $25 to get 3.75.

That isn't the meal though, but the discount you are going to get.

Now subtract 3.75 from 25 to get $21.25

After that multiply 21.25 with 7% which gets you 1.4875

Then, subtract 1.4875 from 21.25 to get 19.7625 which is rounded to $19.76

3 0
3 years ago
To be considered as a menu item for Gloria's new restaurant an item must have scored in the top 15% by the food critics in the a
vladimir1956 [14]

Answer:

Lowest score needed=4.92

Step-by-step explanation:

Using the standard normal distribution table we find the value of standard normal deviate corresponding to area of 15%

For area of 15% we have Z= -1.04

Thus we have

Z=\frac{X-\overline{X}}{\sigma }\\\\\therefore X=\sigma Z+\overline{X}\\\\

Applying values we get

X=-1.04\times 2+7\\\\X=4.92

Thus lowest score needed = 4.92

3 0
3 years ago
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nirvana33 [79]

Answer:

i. think. its. c.

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4 years ago
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