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3 years ago

A collection of 108 coins containing only quarters and nickels is worth $21 wich value could replace q on the chart?

Mathematics

2 answers:

Greeley [361]3 years ago

5 0

Answer:

There would be 30 nickels and 78 quarters.

Step-by-step explanation:

To find this, start by creating a system of equations in which x is the number of nickels and y is the number of quarters. Make the first equation the total number of coins.

x + y = 108

Make the second equation based on the value.

.05x + .25y = 21

Now multiply the second equation by -4 and add together to get the y value to cancel.

x + y = 108

-.2x - y = -84

--------------------

.8x = 24

x = 30

Now use this value to find y.

x + y = 108

30 + y = 108

y = 78

Makovka662 [10]3 years ago

5 0

Answer:

There would be 30 nickels and 78 quarters.

Step-by-step explanation:

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Wayne is hanging a string of lights 58 feet long around the three sides of his patio, which is adjacent to his house. The length

podryga [215]

Answer:

The length of the patio is 32 ft and the width is 13 ft

Step-by-step explanation:

see the attached figure to better understand the problem

Let

L ----> the length of his patio

W ---> the width of his patio

we know that

$L+2W=58$ ----> equation A

$L=2W+6$ ----> equation B

substitute equation B in equation A and solve for W

$2W+6+2W=58$

$4W+6=58$

$4W=58-6$

$4W=52$

$W=13\ ft$

Find the value of L

$L=2W+6$ ----> $L=2(13)+6=32\ ft$

therefore

The length of the patio is 32 ft and the width is 13 ft

3 0

3 years ago

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algol [13]

Answer:

from least to greatest 112 121 124 137 147 156 173 189

Step-by-step explanation:

if you subtract each number from a number that is greater than all the numbers for example 200 then what ever has the most left will be greatest and least will be least for example 121 - 200 is negative 79 and 189 - 200 is negative 11 negative 11 is higher so its a greater number there is also easier ways to do this but this is just extra

8 0

2 years ago

Read 2 more answers

What is the solution to the system of equations? O (-6,-) O (-2, 6) O (6,2) O (-2,-6)

damaskus [11]

Answer:

Option (1)

Step-by-step explanation:

System of equations is represented by two straight lines on a graph.

And solution of the system of equations is the point of intersection of these lines.

From the graph attached, two straight lines represent the system of equations.

And the point of intersection of these lines is the solution.