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Assoli18 [71]
3 years ago
13

Stephanie has 20 coins in her purse.

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

11 dimes and 9 quarters

Step-by-step explanation:

lets make x quarters and y dimes

Here is the equation we have so far:

x+y=20

BUT it can also be used to determine the values:

0.25x+0.10y=3.35

----------------------------------------------------------------------------

0.25x+0.10y=3.35

x+y=20

Im going to solve for quarters first.

Multiply everything by 0.25 on the bottom equation: 0.25x+0.25y=5

Now you have two equations:

0.25x+0.10y=3.35

and 0.25x+0.25y=5

subtract out the 0.25x

.15y=1.65

y=11

------------------------------------------------------------------------------

you have 11 dimes.

x+11=20

x=9

You have 9 quarters

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Select the correct answer.
pychu [463]

Answer:

f(1) = 8

Common ratio: 0.5

Step-by-step explanation:

f(1) is the first term, which is 8.

The common ratio = 4/8 = 2/4 = 1/2   etc

4 0
3 years ago
 find the equation of the line that is parallel to the line Y equals 3X -6 and passes through the points (1 -8). Write the equa
AlladinOne [14]
<h3>hello!</h3>

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

Parallel lines have the same slope.

So if the given line has a slope of 3, then the line parallel to it has the same slope (3)

Now, let's write the equation of the line in Point-Slope Form.

Remember, point-slope form looks like so:-

\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}

Where

y₁ is the y-coordinate of the point that the line passes through

m is the slope

x₁ is the x-coordinate of the point that the line passes through

In this case,

y₁ is equal to -8

m is equal to 3

x₁ is equal to 1

Plug in the values:

\longrightarrow\sf{y-(-8)=3(x-1)}

Simplify:

\longrightarrow\sf{y+8=3(x-1)}

and we're done!

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

<h3>note:-</h3>

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

4 0
3 years ago
The recursive rule for a sequence is a^n=a^(n-1)+7,where a^1=-15. What is the explicit rule for this sequence?
FinnZ [79.3K]

ANSWER

a_n=7n - 22

EXPLANATION

The recursive rule for the sequence is

a_n=a_{n-1}+7

In general the recursive rule is written as:

a_n=a_{n-1}+d

This implies that, d=7

The first term of the sequence is

a_1= - 15

The explicit rule is given by:

a_n=a_1 + d(n - 1)

We substitute to get;

a_n= - 15 +  7(n - 1)

a_n= - 15 +  7n - 7

a_n=7n - 22

7 0
3 years ago
The sum of two consecutive integers is 11. Find the numbers.
soldi70 [24.7K]
The answer would be 5 and 6
3 0
3 years ago
Which expression is the factored form of x2 – 7x + 10?
Naddika [18.5K]

Answer:

(x-2)(x-5)

Step-by-step explanation:

<u>10|-7</u>

<u>-2-5|-7</u>

3 0
3 years ago
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