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frosja888 [35]
4 years ago
6

Maribel goes to a coin star to turn in her change. The coins are quarters and dimes. The machine gives her 14.80 credit for 76 c

oins. How many quarters and dimes does she have?
Mathematics
1 answer:
ANTONII [103]4 years ago
4 0
<span>10*d+25*q=1480, where d is the number of dimes and q is the number of quarters.If she has 76 coins total, then: 76=q+d Solving for d yields d=76-q, which we substitute into the first equation: 10*(76-q)+25*q=1480 Simplifying and solving for q: 760-10*q+25*q=1480 15*q=720 q=48 Substituting back into the second equation: d=76-48=28 Check solution: 10*28+25*48=1480 Maribel had 28 dimes and 48 quarters.</span>
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Ber [7]

Refer to this previous solution set

brainly.com/question/26114608

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

Problem 4

Like the three earlier problems, we'll place the kicker at the origin and have her kick to the right. The two roots in this case are x = 0 and x = 20 to represent when the ball is on the ground.

This leads to the factors x and x-20 and the equation y = ax(x-20)

We'll plug in (x,y) = (10,28) which is the vertex point. The 10 is the midpoint of 0 and 20 mentioned earlier.

Let's solve for 'a'.

y = ax(x-20)\\\\28 = a*10(10-20)\\\\28 = -100a\\\\a = -\frac{28}{100}\\\\a = -\frac{7}{25}\\\\

This then leads us to:

y = ax(x-20)\\\\y = -\frac{7}{25}x(x-20)\\\\y = -\frac{7}{25}x*x-\frac{7}{25}x*(-20)\\\\y = -\frac{7}{25}x^2+\frac{28}{5}x\\\\

The equation is in the form y = ax^2+bx+c with a = -\frac{7}{25}, \ b = \frac{28}{5}, \ c = 0

The graph is below in blue.

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

Problem 5

The same set up applies as before.

This time we have the roots x = 0 and x = 100 to lead to the factors x and x-100. We have the equation y = ax(x-100)

We'll use the vertex point (50,12) to find 'a'.

y = ax(x-100)\\\\12 = a*50(50-100)\\\\12 = -2500a\\\\a = -\frac{12}{2500}\\\\a = -\frac{3}{625}\\\\

Then we can find the standard form

y = ax(x-100)\\\\y = -\frac{3}{625}x(x-100)\\\\y = -\frac{3}{625}x*x-\frac{3}{625}x*(-100)\\\\y = -\frac{3}{625}x^2+\frac{12}{25}x\\\\

The graph is below in red.

4 0
2 years ago
The initial number of people that are sick with the flu is 36 and growing at a rate of 8% every day.
Evgesh-ka [11]
There will be 84 people with flu after 11 days if I am right


5 0
3 years ago
Read 2 more answers
What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the
allsm [11]
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.


In exponential models there is a constant multiplicative rate of change.


The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.


We can test that using several pair of points.


The multiplicative rate of change is calcualted in this way:

 [f(a) / f(b) ] / (a - b)

Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

[12.5 / 5] / (2 - 1) = 2.5


[5 / 2] / (1 - 0) = 2.5


[2 / 0.8] / (0 - (-1) ) = 2.5


Then, do doubt, the answer is 2.5





6 0
3 years ago
Read 2 more answers
6 - 0.617. WHAT IS SIX MINUS 0.617​
Reil [10]

Answer:

5.833

Step-by-step explanation:

SIX MINUS 0.617 IS 5.833

6 0
3 years ago
started with 12 ounces of water when should be getting her walk when she finished walking she had 2 1/4 ounce of water left how
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She drunk about 

9 and 3/4 of her water

hope this helps :3

3 0
4 years ago
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