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3 years ago

Write an inequality that represents this situation below. Be sure to define your variable in words.

Mathematics

1 answer:

AleksandrR [38]3 years ago

5 0

Answer:

8s ≤ 100

Step-by-step explanation:

s = # shirts you can buy

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joe has a piggy bank with $8.90 split upon nickels, dimes, and quarters. The piggy bank contains 76 coins in all. The number of

kozerog [31]

Answer:

There are 38 dimes, 22 nickels and 16 quarters.

Step-by-step explanation:

Let n, d and q represent the # of nickels, dimes and quarters respectively.

Then n + d + q = 76

The value of a nickel is $0.05; that of a dime is $0.10, and that of a quarter is $0.25.

Thus, the value of n nickels is $0.05n (and so on).

The total value of the coins is $0.05n + $0.10d + $0.25q = $8.90.

d = n + q allows us to eliminate d.

First, n + d + q = 76 becomes n + (n + q) + q = 76, and second:

$0.05n + $0.10(n + q) + $0.25q = $8.90. Here we have succeeded in eliminating d from two different equations, and now we have these two different equations in two unknowns (n and q), which is solvable.

Simplifying both equations, we get:

2n + 2q = 76 and

5n + 10n + 10q + 25q = 890, or 15n + 35q = 890

Let's use the substitution method of solving linear equations:

Rewrite 2n + 2q = 76 as n + q = 38, or n = 38 - q. Substituting this result into the second equation, we get:

15(38 - q) + 35 q = 890, or

570 - 15q + 35q = 890, or

570 + 20 q = 890. Then 20q = 890 - 570 = 320, and q = 320/20 = 16.

There are 16 quarters. Thus, the number of nickels is n = 38 - 16 = 22.

Finally, since n + d + q = 76, 22 + d + 16 = 76, or:

22 + d = 60, or d = 60 - 22 = 38.

There are 38 dimes, 22 nickels and 16 quarters.

4 0

3 years ago

A cylinder with a radius of 3 cm and a height of 7 cm is inside of a sphere with a radius of 12 cm. How much space is inside the

Lunna [17]

So the answer is 1620.07 cm^2

Look at the attached picture

Hope it will be helpful to you...

<h3>Good luck on your assignment</h3>

~pragya

7 0

3 years ago

Which number is the additive inverse of -5?

Marysya12 [62]

Answer:

It would be 5

Step-by-step explanation:

SO the additive inverse would basically just be the opposite of the number, for example lets say you had 12, the additive inverse would be -12. You're just changing the sign of the number! From what i know i believe that's it. Have a nice day! :D

4 0

4 years ago

Which one of the following images shows the pre-image and image of a triangle which has been rotated 180° about the origin?

Crank

The Answer is B. Your X and Y both become negative. The coordinate rule is represented as (X,Y) -> (-X,-Y).

3 0

3 years ago

Pls help!! person with correct answer will be marked brainliest

klasskru [66]

27.9!
Hope this helps

7 0

3 years ago