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Kipish [7]
4 years ago
10

56 coins = $9.80. how many are quarters how many are nickels​

Mathematics
2 answers:
nevsk [136]4 years ago
5 0

Answer:

So there are 35 quarters and 21 nickels.

Step-by-step explanation:

So I guess that is all we have is quarters and nickels.

Quarters are worth .25

Nickels are worth .05

Let x represent the number of quarters

Let y represent the number of nickels

x+y=56

.25x+.05y=9.8

We are going to solve this system.

I'm going to use substitution. I will solve the first equation for y and then plug that into the second equation.

y=56-x  

.25x+.05(56-x)=9.8

.25x+2.8-.05x=9.8

.20x+2.8=9.8

.2x          = 7

 x=7/(.2) or 7*5=35

y=56-x

y=56-35=21

So there are 35 quarters and 21 nickels.

choli [55]4 years ago
4 0

Answer:

A) n + q = 56

B) .05n + .25q = 9.80

We multiply A) by -.25

A) -.25n -.25q = -14  then add it to equation B)

B) .05n + .25q = 9.80

-.2n = -4.20

nickels = 4.20 / .20 = 21

quarters = 35

Step-by-step explanation:

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Add <br> 3<br> 10<br> + <br> 7<br> 100<br> and select the correct answer.
Leto [7]

Answer:

37

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100

Step-by-step explanation:

5 0
3 years ago
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An international company has 27,600 employees in one country. If this represents 34.8% of the company's employees, how many empl
stepan [7]

Answer:

The total number of employees are 79310 .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

An international company has 27,600 employees in one country. If this represents 34.8% of the company's employees .

Part value = 27600

Percentage = 34.8%

Putting all the values in the formula

34.8 = \frac{27600\times 100}{Total\ value}

Total\ value = \frac{2760000}{34.8}

Total value = 79310 (Approx)

Therefore the total number of employees are 79310 .

7 0
3 years ago
Solve for x the rest of the question is in the png
zvonat [6]

Answer:

33.18

Step-by-step explanation:

Use law of sines.

x / sin(65°) = 21 / sin(35°)

x = 21 sin(65°) / sin(35°)

x ≈ 33.18

3 0
4 years ago
Which graph represents the solution set of the system of inequalities? {x+y&lt;12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

===========================================

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
3 years ago
Read 2 more answers
the length and width of a rectangle are consecutive even integers. the area of the rectangle is 80 square units. what are the le
nadya68 [22]
X(x + 2) = 120sq units 

<span>Set it equal to 0 </span>
<span>x^2 + 2x - 120 = 0 </span>

<span>factor </span>
<span>(x + 12)(x - 10) </span>

<span>For the shorter side: </span>
<span>x - 10 = 0 </span>
<span>x = 10 </span>

<span>Now that you have x, solve for the longer side which we said was represented by </span>
<span>x + 2 </span>
<span>10 + 2 = 12 </span>

<span>Proof </span>
<span>A = L x W </span>
<span>120 = 10 x 12 </span>
<span>120 = 120 </span>
<span>true </span>

<span>Our length is 12 and our width is 10</span>
7 0
3 years ago
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