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labwork [276]
3 years ago
13

Ron has 25 coins with a total value of $ 4.30 . the coins are dimes and quarters. how many of each coin does he have?

Mathematics
1 answer:
Gwar [14]3 years ago
4 0
25=d+q
4.30= .1d + .25q

25=d+q
-17.20=-.4d+-q

7.80= .6d
d=13...... 13 DIMES

25= 13+q
12=q....... 12 QUARTERS
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Find the value of X in the triangle shown below
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Answer:

102

Step-by-step explanation

39'+39'=78'

180-78=102

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If you buy six pens and one mechanical pencil, you'll get only $1 change from your $10 bill. but if you buy four pens and two me
xxTIMURxx [149]

Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.

Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:

\begin{cases} 6p+m=9\\4p+2m=8\end{cases}

Now, if you multiply the first equation by 2, the system becomes

\begin{cases} 12p+2m=18\\4p+2m=8\end{cases}

Subtract the second equation from the first:

12p+2m - (4p+2m) = 18-8 \iff 8p = 10 \iff p = \dfrac{10}{8} = 1.25

Plug this value into the first equation to get

6p+m=9 \iff 6\cdot 1.25 +m = 9 \iff 7.5 +m=9 \iff m = 9-7.5 = 1.5

7 0
3 years ago
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Zepler [3.9K]
Oh i done this yes sir u r correct
8 0
3 years ago
Arrange the steps to solve the equation square root x+3 - square root 2x-1=-2
stiv31 [10]

Answer:x=31.4919

Step-by-step explanation:

Step1:isolate a square root on the left hand side√x+3=√2x-1-2

Step2:eliminate the radicals on the left hand side

Raise both sides to the second power

√x+3)^2=(√2x-1-2)^2

After squaring

x+3=2x-1+4-4-4√2x-1

Step3:get the remaining radicals by itself

x+3=2x-1+4-4√2x-1

Isolate radical on the left hand side

4√2x-1=-x-3+2x-1+4

4√2x-1=x

Step4:eliminate the radicals on the left hand side

Raise both side to the second power

(4√2x-1)^2=x^2

After squaring

32x-16=x^2

Step 5:solve the quadratic equation

x^2-32x-16

This equation has two real roots

x1=32+√960/2=31.4919

x2=32-√960/2=0.5081

Step6:check that the first solution is correct

Put in 31.4919 for x

√31.4919+3=√2•31.4919-1-2

√34.492=5.873

x=31.4919

Step7:check that the second solution is correct

√x+3=√2x-1-2

Put in 0.5081 for x

√0.5081+3=√2•0.5081-1-2

√3.508=-1.873

1.873#-1.873

One solution was found

x=31.4919

6 0
3 years ago
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