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WARRIOR [948]
3 years ago
10

tess has 100 dimes and quarters , if the total of the coins is $21.40 how many of each of the coins does she have ?? Using subst

itution or elimination find the answer
Mathematics
1 answer:
Zanzabum3 years ago
4 0

Answer: 24 and 76

Step-by-step explanation:

{

d

+

q

=

100

10

d

+

25

q

=

2140

From the first equation, we have  

d

=

100

−

q

Substituting that into the second equation, we have

10

(

100

−

q

)

+

25

q

=

2140

⇒

1000

−

10

q

+

25

q

=

2140

⇒

15

q

=

1140

⇒

q

=

1140

15

=

76

Knowing that  

q

=

76

we can substitute that value into the first equation to obtain

d

+

76

=

100

∴

d

=

24

Thus, Sue has  

24

dimes and  

76

quarters.

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What is the volume of a rectangular prism with length 12 in., height 16 in., and width 13 in.? V+lwh. _______in3
Verizon [17]
Hello!

To find the Volume, you'll need to multiply all of the measurements together. So you'll need to multiply 12, 16, and 13 together to get the Volume. First, let's multiply 12 and 16 together to get 192

192*13

Now you're left with 192*13. After you've multiplied them together you should get 2496

You should now have a Volume of 2496in³

I hope this helps!
3 0
3 years ago
A student factors 3x2 – 12 to the following.
Nesterboy [21]

Answer:  The Expression is Equivalent, However, NOT completely factored.

Step-by-step explanation:

3x^2     -     12  

Following:

3 ( x^2    -    4   )

Factor:

3x^2   -  12

Factor Out Common Term 3:

3 ( x^2    -  4  )  =  3 (x^2  -  4 )

Factor:

x^2  -  4

( x  +   2 )  ( x   -  2 )

Answer:

3 ( x  +  2) ( x  -  2)

Hence, The Expression is Equivalent, However,  Wasn't Completely Factored.

Hope that helps!

8 0
3 years ago
Read 2 more answers
According to the graph, how much did individuals making $20,000 to $50,000 a year pay in income taxes? According to the graph, h
ryzh [129]

Answer:

$80 billion, $480 billion

Step-by-step explanation:

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3 0
3 years ago
Which method works best to solve the following system of linear equations?
strojnjashka [21]
C I’m not really sure but try
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2 years ago
Subtract. Your answer should be a polynomial in standard form. a (4r ^ 2 - 3r + 2) - (- r ^ 2 - 3r) =
blsea [12.9K]

Answer:5r2+2

Step-by-step explanation:

Distribute the Negative Sign:

=4r2−3r+2+−1(−r2−3r)

=4r2+−3r+2+−1(−r2)+−1(−3r)

=4r2+−3r+2+r2+3r

Combine Like Terms:

=4r2+−3r+2+r2+3r

=(4r2+r2)+(−3r+3r)+(2)

=5r2+2

6 0
3 years ago
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