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guapka [62]
3 years ago
5

Kendra has $6.00 in dimes and quarters. If she has 2 times as many quarters as dimes, how many of each coin does she have?

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
6 0
Make a system of equations.

\sf0.10d+0.25q=6
\sf~q = 2d

Plug in 2d for 'q' in the first equation:

\sf0.10d+0.25q=6

\sf0.10d+0.25(2d)=6

Multiply:

\sf0.10d+0.50d=6

Combine like terms:

\sf0.60d=6

Divide 0.60 to both sides:

\sf~d=10

Now plug this into any of the two equations to find 'q':

\sf~q = 2d

\sf~q = 2(10)

\sf~q = 20

So she has 10 dimes and 20 quarters.
lbvjy [14]3 years ago
5 0
.10x = dimes  ----------\
                               + 6.00
2(.25x) = quarters---/


.10x + 2(.25x) =6.00                 .10(10) + 2(.25(10)) =6.00
10x + 50x = 600                              1 + 2(2.50) = 6.00
60x = 600                                          1+ 5.00 = 6.00
x = 10                                                    6.00 = 6.00
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8 0
3 years ago
A softball has a diameter of 3.82 inches. How many square inches of material is necessary to cover a softball? Use 3.14 for π
lisabon 2012 [21]

Answer:

45.82 square inches

Step-by-step explanation:

Use the formula for the surface area of a sphere, A = 4\pir²

If the diameter is 3.82 inches, the radius is 1.91 inches.

Plug in 3.14 as \pi and 1.91 as r, and solve:

A = 4\pir²

A = 4(3.14)(1.91²)

A = 45.82

So, approximately 45.82 square inches of material are needed.

6 0
2 years ago
The edge of each cube used to build this rectangular prism is 12 inch long. Which equation shows the volume of the prism, in cub
Sveta_85 [38]

Answer:

(4/2 × 2/2 × 3/2) in.³ =3 in.³

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Katie gives Maggie half of her pencils. Maggie keeps 5 pencils and gives the rest to Jamil. A. Write an expression for the numbe
Alexandra [31]

Here's what I mean when I write <em>x/</em><em>2</em><em> </em><em>JUST </em><em>IN </em><em>CASE.</em>

а.

Let the total number of pencils be x, then this implies that Maggie received <em>x/</em>2 pencils from Katie. Maggie keeps 5 and give the rest to Jamil, this means

that Jamil receives

<em>x/</em>2-5 pencils.

b. Expression of pencils given to Jamil is: <em>x/</em>2-5

Substitute <em>x</em><em>=</em><em>1</em><em>6</em><em> </em>in this expression: <em>x/</em>2-5

Simplify and evaluate: = 8-5= 3

Maggie gives 3 pencils to Jamil.

c. Expression of pencils given to Jamil is: x/2-5 to

Equate this expression with 1 to form an equation and solve for <em>x</em> all, the total

number of pencils if Jamil received 1 pencil:

<em>x/</em>2 - 5 = 1

Solve for x:

<em>x</em> = 2(1+ 5)

Evaluate:

<em>x</em> = 2(6) = 12

Katie had 12 pencils if Jamil received 1 pencil.

RESULT

a. Expression of number of pencils given to Jamil is <em>x</em>/2-5, where x is total number of pencils.

b. Maggie gives 3 pencils to Jamil.

c. Katie had 12 pencils if Jamil received 1 pencil.

5 0
3 years ago
A music store sells used cds for $5 each and buys used CDs for$1.50 each. you go to the store with $20 and some CDs to sell. you
olya-2409 [2.1K]
Let x be the number of CDs we buy and y the number of CDs we sell. 
Each CD sell for $1.5, then the total of money we earn is $1.5y.
Each CD bought for $5, then the total money spent is $-5x
Add the above values like this:
1.5y-5x
We have $20, add them like this:
1.5y-5x+20
Since we want to have<span> at least $10 left when you leave the store, then 
we deduce the equation:
</span>1.5y-5x+20\leq 10
5 0
3 years ago
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