Mary has 18 coins with a total value of $2.85. If the coins are dimes and quarters,how many of each type of coins does Mary have

Answers

Answer 1

Answer: $x-dimes\ny-quarters\n\n \left\{\begin{array}{ccc}x+y=18\n0,1x+0.25y=2.85&/\cdot(-10)\end{array}\right\n+\left\{\begin{array}{ccc}x+y=18\n-x-2.5y=-28.5\end{array}\right\n------------\n.\ \ \ \ \ \ -1.5y=-10.5\ \ \ \ /:(-1.5)\n.\ \ \ \ \ \ \ \ \ \ \ \ \ y=7\n\nx+7=18\nx=18-7\nx=11\n\nAnswer:11\ dimes\ and\ 7\ quarters$

Answer 2

Answer: Let's say x represents the number of dimes and y represents the number of quarters.

Note: A dime is worth 10 cents and a quarter is worth 25 cents. Therefore, their coefficients would be 0.1 and 0.25 (you must divide them by 100, since 1 dollar = 100 cents).

Now you can set up a system of equations and solve by substitution.

x + y = 18
0.1x + 0.25y = 2.85

In order to substitute, you have to solve for one of the variables in terms of the other. This will be easiest to do with the first equation.

x + y = 18
y = 18 - x

Now, substitute in that value of y into the second equation.

0.1x + 0.25(18 - x) = 2.85

Now, you can solve for x.

0.1x + 4.5 - 0.25x = 2.85
- 0.15x = -1.65
x = 11

You have 11 dimes.

Now you can substitute that value into your original first equation.

(11) + y = 18
y = 7

You have 7 quarters.

Answer: 11 dimes and 7 quarters

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What is the sum of square root of -2 and square root of -18?

What’s the answer to this

Answers

Answer:

Step-by-step explanation:

Given f(x) the f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here c = - 6, thus a shift down, thus

g(x) = x² - 6 → A

Set up a proportion to solve for x in the following similar triangles.

Answers

Final answer:

The correct option is d.

To solve for x in similar triangles ABC and PQR, set up the proportion AB/PQ = DC/QR and solve for x.

Explanation:

To set up the proportion to solve for x in similar triangles ABC and PQR, we need to compare the corresponding sides. AB corresponds to PQ, so we can set up the proportion as follows:

AB/PQ = DC/QR

Substituting the given values, the proportion becomes:

18/12 = 24/(x-2)

Simplifying further, we can solve for x by cross multiplying and solving the resulting equation.

Learn more about Similar Triangles here:

brainly.com/question/14926756

#SPJ2

The complete question is given below:

It is given that two triangles are similar, ABC and PQR. AB= 18 units and DC= 24 units. PQ= 12 units and QR= x-2 units. Set up a proportion to solve for x in the following similar triangles.

a. 18/24 = (x-2)/12

b. 18/12 = (x-2)/24

c. 18/12 = 24/(x-2)

d. 18/12 = 24/x - 2

Answer:

Step-by-step explanation:

I took the quiz and it was C! Hope this helps :)

What is the tense of the underlined verb in the sentence? Dante said, "My father has shown me pictures from his old college yearbooks."
a. past
b. future perfect
c. present perfect
d. past perfect

Answers

this is NOT mathematics, but I'll answer anyways: it's past perfect, because he's showing you photos of his college years. It's most likely he's not in college at the time, and a perfect tense is when something occurs earlier than the considered time.

The tense of "has shown" in the sentence is past perfect.

Answer: d. past perfect

Julia is saving money for the down payment on a car. She plans to save for one year. Her parents have offered to contribute $50 a month to her savings. How much does Julia need to save each month in addition to her parents' contribution if she wants to have a $2700 down payment on a car at the end of the year? Define a variable and write an equation to represent this situation.

Answers

Answer:

$12x+600=2700$

$175

Step-by-step explanation:

Let x represent money saved by her in one month.

So money saved by her in one year (12 months) would be $12x$ .

We can represent our given information as:

$12x+600=2700\n12x=2700-600\n12x=2100\nx=(2100)/(12)\nx=175$

Therefore, she needs to save $175 per month.

A mother puts $10,000 into a special bank account on the date of birth of her first born. The account earns interest at a rate of 4%, and compounds 4 times per year. When the child turns 18, he receives the lump sum. How much will the child receive?

Answers

the equation to calculate compound percentage rate is :
A(t) = P(1+(r/n))^(nt)
In this case t is 18 years, we put rate (r), number of compounds per day.
A(18) = 10,000(1+(0.04/4))^(4*18)= 10,000(1.01)^72= $20,470.99

Child will receive $20,470.99 on it's 18 birthday.

Does anyone know what the equation would be

Answers

equation: 7b=4 (b+30)

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