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Ulleksa [173]
3 years ago
15

Isaiah has $7.15 in Dimes and Nickels. He has a total of 91 coins. How many of each coin does he have? Group of answer choices d

imes: 31 nickels 60 dimes: 60 nickels: 31 dimes: 52 nickels: 39 dimes: 39 nickels: 52
Mathematics
1 answer:
yarga [219]3 years ago
7 0

Answer:

Dimes = x = 52

Nickels = y = 39

Step-by-step explanation:

Let

Dimes = x

Nickels = y

x + y = 91 (1)

0.10x + 0.05y = 7.15 (2)

From (1)

x = 91 - y

Substitute x = 91 - y into (2)

0.10x + 0.05y = 7.15

0.10(91 - y) + 0.05y = 7.15

9.10 - 0.10y + 0.05y = 7.15

- 0.10y + 0.05y = 7.15 - 9.10

-0.05y = -1.95

y = -1.95 / 0.05

= 39

Substitute y = 39 into (1)

x + y = 91

x + 39 = 91

x = 91 - 39

x = 52

Dimes = x = 52

Nickels = y = 39

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3 years ago
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Which of the following functions is graphed below?
kompoz [17]

Answer:

A

Step-by-step explanation:

vertex is (-3,-4)

so inside the absolute value bars need to be postive 3 and the four has to be -4.

6 0
3 years ago
PLEASE HELP!!
aliya0001 [1]

Ik this is late, but people who are looking for the answer can see this.

Answer:

an =1/3*6^n-1

Step-by-step explanation:

You should plug in 2 for n in each equation, which, the correct one should give you 2. Then, to make sure, you plug in 3 in the equations that gave you 2.

Example:

an = 1/3 * 6 ^n-1

Plug in 2.

an = 1/3 * 6 ^2-1

an = 1/3 * 6 ^1

1/3 * 6 = 2

Step 2.

an = 1/3 * 6 ^3-1

an = 1/3 * 6 ^2

1/3 * 36 = 12

Hope this helps.

4 0
3 years ago
Which of the following equations have infinitely many solutions? Choose all answers that apply: Choose all answers that apply: (
TiliK225 [7]

Answer:

All options are correct.

Step-by-step explanation:

In option (A), the given equation is

x-37=x-37

Add 37 on both sides.

x-37+37=x-37+37

x=x

Subtract x from both sides.

x-x=x-x

0=0

LHS=RHS for all values of x. It means equation x-37=x-37 has infinite many solutions.

Similarly.

In option (B), the given equation is

73x-37=73x-37

73x=73x

0=0

LHS=RHS for all values of x. It means equation 73x-37=73x-37 has infinite many solutions.

In option (C), the given equation is

37x-37=37x-37

37x=37x

0=0

LHS=RHS for all values of x. It means equation 37x-37=37x-37 has infinite many solutions.

In option (D), the given equation is

74x-37=74x-37

74x=74x

0=0

LHS=RHS for all values of x. It means equation 74x-37=74x-37 has infinite many solutions.

Therefore, all options are correct.

5 0
2 years ago
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Evaluate the expression if m = 3.<br><br> 3m^2<br><br><br> (SHOW YOUR WORK)
iragen [17]

The value of given expression when m = 3 is 27

<h3><u>Solution:</u></h3>

Given expression is 3m^2

We have to evaluate the given expression for m = 3

To find for m is equal to 3, substitute m = 3 in given expression

From given expression,

\rightarrow 3m^2

Plug in m = 3 in above expression

\rightarrow 3(3)^2 ------ eqn 1

We know that,

a^2 can be expanded as,

a^2=a \times a

Applying this in eqn 1, we get

\rightarrow 3(3)^2=3 \times (3 \times 3)

Simplify the above expression

\rightarrow 3(3)^2=3 \times (3 \times 3) = 3 \times 9 = 27

Therefore, for m = 3 we get,

\rightarrow 3(3)^2=27

Thus value of given expression when m = 3 is found

5 0
3 years ago
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