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Roman55 [17]
4 years ago
10

Nevaeh has $4.75 worth of dimes and quarters. She has a total of 28 dimes and quarters altogether. Write a system of equations t

hat could be used to determine the number of dimes and the number of quarters that Nevaeh has. Define the variables that you use to write the system.
​
Mathematics
1 answer:
choli [55]4 years ago
8 0

Answer:

There are 15 dimes and 13 quarters.

Step-by-step explanation:

Let d = number of dimes and q = number of quarters.

The number of dimes and quarters is 28:

d + q = 28

Solve for d:

d = 28 - q

Total dollar amount of dimes and quarters is $4.75 or 475 cents:

10d + 25q = 475

Substitute:

10(28 - q) + 25q = 475

280 - 10q + 25q = 475

15q = 475 - 280

15q = 195

q = 195/15

q = 13 quarters

Solve for d:

d = 28 - q

d = 28 - 13 = 15 dimes

Proof:

10d + 25q = 475

10(15) + 25(13) = 475

150 + 325 = 475

475 = 475

Hope this Helps! Have an Awesome Day!! (-:

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14 is 20% of what number <br><br> What percent of 48 is 30<br><br> Find 10% of 95<br><br> thanks
Cerrena [4.2K]
14 is 20% of 70

30 is 58% of 48

9-10 is 10% of 95
3 0
3 years ago
2. The amount paid for different weights of oranges at a farmer’s market are shown below.
Marina CMI [18]

Answer:

8 -------$ 12

Step-by-step explanation:

There are different weights of oranges at a farmer’s market given in the question. Two oranges that is three dollars. So one orange will be of one point five dollars. Then five will be equal to seven point five dollars. Much easier form of calculation that is eight equal to seven point five plus one point five that is added three times. This gives the final value of eight oranges that is twelve dollars.

8------12$

2 orange = 3$

So 1 = 1.5$

5 = 7.5$

8 = 7.5 + 1.5 + 1.5 + 1.5

8 oranges = 12$

4 0
3 years ago
Evaluate 7+(-4×^2)for ×=0
NISA [10]
Plug in 0
7+(-4(0)^2)
7+(0)^2
7+0=7
5 0
3 years ago
mckenna and lara work for their uncle eddie, who repairs skateboards and bicycles. uncle eddie is leaving for a vacation to the
juin [17]

The <em><u>correct answer</u></em> is:

15 bicycles and 6 skateboards.

Explanation:

Let x represent the number of bicycles and y represent the number of skateboards.  The first equation in our system is then

x+y = 21, since there are 21 total items in the shop.

Each bicycle has 2 tires and each skateboard has 4; this gives us the equation

2x+4y=54 (because they are ordering 54 tires).

This makes our system

\left \{ {{x+y=21} \atop {2x+4y=54}} \right.

We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations.  We will make x the same, and we will do this by multiplying the first equation by 2:

\left \{ {{2(x+y=21)} \atop {2x+4y=54}} \right.  \\&#10;\\\left \{ {{2x+2y=42} \atop {2x+4y=54}} \right.

Now we will subtract the second equation from the first one:

\left \{ {{2x+2y=42} \atop {-(2x+4y=54)}} \right.  \\&#10;\\-2y=-12

Divide both sides by -2:

-2y/-2 = -12/-2

y = 6

There were 6 skateboards.  Substituting this into the first equation,

x+6 = 21

Subtract 6 from each side:

x+6-6 = 21-6

x = 15

There were 15 bicycles.

3 0
3 years ago
Need help as soon as possible!
qaws [65]

<u>ANSWER</u>=<u>5.2</u>

<u />

<u>EXPLANATION</u>

This triangle shows a example of the Pythagorean Theorem, which means the equation is gonna be

a^2+b^2=c^2

The variables <u>a </u>and <u>b </u>are the straight sides of the triangle, while the variable <u>c </u> is the curved side on the triangle, or what we are trying to find in this question.

Firstly let’s take the two sides that already have a number shown, also known in the Pythagorean Theorem as sides <u>a </u>and <u>b</u>.

2^2+4.8^2=c^2

Now we want to square the two given numbers to get the equation

4+23.04=c^2

Now we add the two given numbers that we have now squared to get the equation

27.04=c^2

The final step will now be to take the number (27.04) and square root it, which should give you the answer, <u>5.2</u>

6 0
3 years ago
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