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katen-ka-za [31]
3 years ago
13

Your friend states that he has quarters and dimes in his pocket that total to $5.00. He

Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Answer: There are 16 quarters and 10 dimes.

Step-by-step explanation:

Let x = Number of quarters

y= Number of dimes.

As per given,

x+y = 26  (i)

x= y+6  (ii), substitute this in (i), we get

y+6+y= 26

⇒2y+6=26

⇒ 2y = 26-6=20

⇒ 2y =20

⇒ y =10   [Divide both sides by 2]

Put this in (ii),  x= 10+6 =16

So there are 16 quarters and 10 dimes such that 16 (0.25)+10(0.10)= $5 .

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Two of the steps in the derivation of the quadratic formula are shown below.
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Answer:

C

Step-by-step explanation:

I just guessed and got it right

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-7x-3=12<br><br> Solve this please and show me how you got it
Natali [406]

Answer:

x = 15/7

Step-by-step explanation:

-7x - 3 = 12

    -7x = 12 + 3

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3 years ago
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Averi was trying to factor 4x2 + 20x - 16. She found
hichkok12 [17]

Answer:

The width will be x^{2} +5x-4

Step-by-step explanation:

Thinking process:

Let the model be:

4x^{2} +20x-16

factoring out 4 gives:

4(x^{2} +5x-4)

Factorizing the expression in the parentheses gives:

4(x^{2} +5x-4)

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7 0
3 years ago
What percent of 300 is 51
Gnoma [55]

Answer:

17

Step-by-step explanation:

300:51*100 =

(300*100):51 =

30000:51 = 588.24

Now we have: 300 is what percent of 51 = 588.24

Question: 300 is what percent of 51?

Percentage solution with steps:

Step 1: We make the assumption that 51 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=51$100%=51​.

Step 4: In the same vein, $x\%=300$x%=300​.

Step 5: This gives us a pair of simple equations:

$100\%=51(1)$100%=51(1)​.

$x\%=300(2)$x%=300(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{51}{300}$

100%

x%​=

51

300​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{300}{51}$

x%

100%​=

300

51​​

$\Rightarrow x=588.24\%$⇒x=588.24%​

Therefore, 17% of 300 is 51

3 0
4 years ago
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