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irga5000 [103]
2 years ago
5

Not including tax, a total of 19 pens and markers cost $11.50. The pens cost $0.25 each, and the markers cost $0.75 each. Which

system of equations could be used to solve for the number of pens (p) and the number of markers (m) bought?
Mathematics
1 answer:
trapecia [35]2 years ago
7 0

Answer:

The system of equations would be:

p + m = 19

0.25p + 0.75m = 11.50

Step-by-step explanation:

To set up a system of equations, use the total number purchased as the first equation.

p + m = 19

Now use the cost and the total spent for the second equation.

0.25p + 0.75m = 11.50

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The answer is the fourth choice 4/29.


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2 years ago
An artist can paint 4 painting in 2 hours. What is the artist’s unit rate?
dolphi86 [110]

All we have to do here is divide 4 by 2

4 ÷ 2 = 2

Therefore, the artist can paint 2 paintings an hour making the unit rate, 2 paintings per hour.

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2 years ago
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Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm^3 for every m^2 of garden space
Fudgin [204]
Rate is the change in one variable in relation to another variable. Generally, rate is calculated as follows:

R = ΔV1/ΔV2

Where
R = Rate
ΔV1 = Change in variable 1
ΔV2 = Change in variable 2

In the current scenario,
ΔV1 = 250,000 m^3 of mulch applied
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Therefore,
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8 0
2 years ago
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Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas
Anarel [89]
5x + 3y= 8.50
3x + 2y= 5.25

Lydia is the first equation. She bought 5 pounds of apples which is x and bought 3 pounds of bananas which is y. Basically, remember each banana and apple weighs a price per pound. We don't know the price so we just put an x. This is the same for the second equation
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Robert has $50 to spend on his utility bills each month. The basic monthly charge is 23.77 electricity costs 0.1117 for each kil
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Answer:

<em>The maximum number of kilowatt-hours is 235</em>

Step-by-step explanation:

<u>Inequalities</u>

Robert's monthly utility budget is represented by the inequality:

0.1116x + 23.77 < 50

Where x is the number of kilowatts of electricity used.

We are required to find the maximum number of kilowatts-hours used without going over the monthly budget. Solve the above inequality:

0.1116x + 23.77 < 50

Subtracting 23.77:

0.1116x < 50 - 23.77

0.1116x < 26.23

Dividing by 0.1116:

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The maximum number of kilowatt-hours is 235

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