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ANTONII [103]
3 years ago
10

"solve the following system of linear equations using substitution." y=-6x and 4x+5y=52

Mathematics
1 answer:
melomori [17]3 years ago
4 0
You substitute y with -6 and get the equation 4x+5(-6)=52 from there you solve.   
First you do 5 times -6 and get -30 and drop everything else to get 4x+(-30)=52

Second you take the -30 and add 30 to each side to leave you with 4x=82

Third you divide both sides by 4 and that leaves you with x=20.5

So your answer is 20.5 or 20\frac{1}{2}
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Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.
Elina [12.6K]

Hi!

So we have to make a system of equations here.

Let sibling 1 be O and sibling 2 be Y (for older and younger)

So:

O + Y = 64

O = 64 - Y

(Either one works)

The older sibling is 6 years older.

O = Y + 6

Make everything in terms of Y.

64 - Y = Y + 6

Same to both:

58 = 2y

2y = 58

Divide by 2 on both sides:

y = 29

Since the older sibling is 6 years older:

29 + 6 = 35

Y = 29

O = 35

Let me know if you have any questions.

4 0
2 years ago
Find the value of p in the figure below.
nirvana33 [79]

From the chord theorem we have:

4\cdot4.5=6\cdot(2p-3)\\\\18=12p-18\\\\12p=18+18\\\\12p=36\qquad|:12\\\\\boxed{p=3}

6 0
3 years ago
Abigail has $356 in her bank account. She earns simple interest on her money at a rate of 3% per year for a total of five years.
fredd [130]

Answer:

it's probably b

Step-by-step explanation:

I don't know how to do it so don't do b

7 0
3 years ago
A rabbit population doubles every 4 weeks. There are currently five rabbits in a restricted area. If t represents the time, in w
My name is Ann [436]
First, you have to find how many weeks are in 98 and to do so, you would divide it by 7. which turns out to be 14. If you divide 14 by 4 you'll find that their population will double 3 times, but not 3.5 because it is every 4 full weeks.
The equation will look like this, however, I'm not completely certain about the format. I'm using the formula for exponential growth
P(t)=r(2)^t
I did use t as weeks, but for every 4 weeks. R is the number of rabbits. If we were to input our information, we'd get:
P(3)=5(2)^3
If you work it out, you get 40 rabbits. In 14 weeks, the rabbits will double 3 times, so if we were to just figure it out without using the formula, we could double 5 which is 10, double it again, which is 20, and then double it a third time. which is 40.
6 0
3 years ago
50 POINTS please show the step by step process.I already know the answers i just the steps!!
djyliett [7]

Answer: 8x

2.9543127e+21xy

9x

Step-by-step explanation:

4x^2=16x     28x=28x     36=36      16x+28x-36   16+28=44-36=8x

125x^6= 30517578125x    27y^15= 2.9543127e+21                             30517578125x-2.9543127e+21= 2.9543127e+21xy

4-7=3+x=3x    5-8=3+x=3x   3x * 3x= 9x

7 0
3 years ago
Read 2 more answers
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