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Marina86 [1]
3 years ago
11

Autumn has $0.64 worth of pennies and nickels. She has a total of 20 pennies and nickels altogether. Determine the number of pen

nies and the number of kickers that autumn has.
Mathematics
1 answer:
user100 [1]3 years ago
5 0

Answer: Nickels x = 11 and pennies y = 9

Step-by-step explanation:

Let be nickels x and pennies y

We will form a system to solve this problem:

5 x + 1 y = 64

x + y = 20/ · (-1)

we will first multiply the second equation by -1 and add it by the first and get:

4 x = 44 ⇒ x = 44 / 4 = 11 nickels

x = 11 nickels

from the other we get y

y = 20 - x = 20 - 11 = 9 pennies

y = 9 pennies

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tigry1 [53]
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3 years ago
Write an absolute value equation to satisfy the given solution set shown on a number line.
aivan3 [116]

Answer: IX - 4I ≤ 4

Step-by-step explanation:

In the numer line we can see that our possible values of x are in the range:

0 ≤ x ≤ 8

And we want to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

IX - 4I ≤ 4

To construct this, we first find the midpoint M of our set, in this case is 4.

Then we write:

Ix - MI  ≤ IMI

Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the <  > signs.

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3 years ago
Gordon types 2,736 words in 36 minutes. Find the unit rate.
STALIN [3.7K]

Answer:

76 words each minute

Step-by-step explanation:

8 0
3 years ago
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The base of the pyramid is a square what is the surface area if the pyramids height is 4 feet in the area of the base is 36 ft.?
KATRIN_1 [288]

Answer:

96 ft²

Step-by-step explanation:

The general formula for the surface area of a pyramid is:  

SA = \frac{1}{2}pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base

Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.

Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid.  Using 3 feet for 'a' and 4 feet for 'b':

3² + 4² = c² or 9 + 16 = 25

25 = c² or c = 5

SA =  \frac{1}{2}(24)(5) + 36

SA = 60 + 36 = 96 ft²

8 0
3 years ago
HELP ME TO ANSWER THIS PLEASE JUST KINDA CONFUSED.
yulyashka [42]

Answer:

A = 5

B = 9

Step-by-step explanation:

This was very simple!

Nancy needs at least 15 boxes of travoprost but she only has 10. To find out how many she needs, we subtract 15 from 10 to get 5 boxes

Nancy also needs at least 12 boxes of latanoprost but she only has 3. To find out how many she needs, we subtract 12 from 3 to get 9 boxes

Therefore A = 5 boxes; B = 9 boxes

<em>PLEASE DO</em><em> </em><em>MARK ME</em><em> </em><em>AS BRAINLIEST</em><em> </em><em>IF MY</em><em> </em><em>ANSWER IS</em><em> </em><em>HELPFUL</em><em> </em><em>;</em><em>)</em>

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3 years ago
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