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3 years ago

Solve the following system of equations by substitution and select the correct answer below:

Mathematics

2 answers:

Bingel [31]3 years ago

6 0

Answer:

Step-by-step explanation:

2x-8y=32

Alexxx [7]3 years ago

5 0

Okay so for substitution, chose one of of the equations to solve for x. Let's solve for the second one. So you have 2x-8y=32.
Start by adding 8y to both sides:
2x=8y+32.
Then you have to get x by itself so you divide both sides by 2 which will give you:
x=4y+16.

Now you have:
6x-4y=36
x=4y+16 (this was 2x-8y=32)

Now, plug in the second equation to the first one. You would do so by plugging in the second equation to where you see x. You would have:
6(4y+16)-4y=36

Now, multiply the 6 with the 4y and 16. you would then have:
24y+96-4y=36.

Now, combine your like terms to get:
20y+96=36
Then subtract 96 to both sides:
20y=-60
Then divide both sides so that you have y all by itself:
y=-30!

You now have the answer for y, so now plug what you got for y into the other equation: x+4y=16:
x+4(-30)=60
Solve for x:
x-120=60
add 120 to both sides:
x=180!
so Your answer is Y=-30 and X=180

I hope this helped:)

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Math answer with work cause it need proof ASAP

Viktor [21]

Answer:

[See Below]

Step-by-step explanation:

__________________________

✦ Solve for $(1*10)+(4*1)+(7*0.01)+(2*0.001)$ :

__________________________

✦ Solve Parenthesis first:

$(1*10)=\bold1\bold0$

$(4*1)=\bold4$

$(7*0.01)=\bold0\bold.\bold0\bold7$

$(2*0.001)=\bold0\bold.\bold0\bold0\bold2$

__________________________

✦ Add all the values together:

$10+4+0.07+0.002=\bold1\bold4\bold.\bold0\bold7\bold2$

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So Mikayla wrote the decimal correctly.

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~<em>Hope this helps Mate. If you need anything feel free to message me.</em>

$-Your~ Friendly ~Answerer,~ Shane$ ☺

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3 years ago

The price, P, of a sweater was discounted by 10% in

aalyn [17]

Answer:

In terms of P, the price of the sweater after the discount is 0.72P.

Step-by-step explanation:

Since the price P would represent 100% and the price was discounted by 10%, you can calculate 10% of 100% and subtract that amount, which would be:

100*10%=10

100-10=90%

This means that the price paid would be 90% of P. Then, the statement says that the price was discounted by another 20%. So, you have to calculate 20% of the price and subtract that amount from the price:

90*20%=18

90-18=72%

According to this, this means that in terms of P, the price of the sweater after the discount is 0.72P.

6 0

3 years ago

How to simplify 1 over 10 times 4 over 10

seropon [69]

1/10 * 4/10 = 4/100 divide both by 4 it'll be 1/25

5 0

3 years ago

Find the amount of time. I=$237. 90, P=$1525, r=2. 6%<br> Find the amount of time. __ Years

Virty [35]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t$

3 0

2 years ago

Angles A and B are located in the first quadrant such that sinA= 7/25 and cosB = 5/13. Determine the exact value for cos (A-B).

fomenos

Answer:

204/325

Step-by-step explanation:

You can work this a couple of ways. We expect you are probably expected to use trig identities.

cos(A) = √(1 -sin²(A)) = 24/25

sin(B) = √(1 -cos²(B)) = 12/13

cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)

= (24·5 +7·12)/325

cos(A -B) = 204/325

The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.

cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)

= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)

The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.

325·cos(A-B) = 204

so, the exact value is ...

cos(A -B) = 204/325

8 0

3 years ago