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Kay [80]
3 years ago
11

Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e

quations to find the numbers
Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

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&gt;, &lt; or =<br> 13<br> 27<br> To 5/9
Leto [7]

Answer:

13 < 27 > to 5/9

Step-by-step explanation:

Any fraction that isn't mixed cannot be larger than a whole number. 13 is lesser than 27.

6 0
4 years ago
Read 2 more answers
Simplify. 3/(square root)-125n^12 -5 n9 -5 n4 5 n4
Alex17521 [72]

Answer:

B) -5n^4

Step-by-step explanation:

We want to simplify \sqrt[3]{-125n^{12}}

\sqrt[3]{-125n^{12}} = \sqrt[3]{-1 * - 1 * -1 * 5 * 5 * 5 * n^4 * n^4 * n^4} \\\\= \sqrt[3]{(-1)^3 * 5^3 * (n^4)^3}\\\\= -1 * 5 * n^4\\\\= -5n^4

The answer is -5n^4

7 0
3 years ago
The answer that is selected is just a guess
Semmy [17]
The answer it’s 4, hope it helps
4 0
3 years ago
17 - 3 (a+5) = 6 (a+5) - 2a
Snezhnost [94]

17-3a-15=6a+30-2a

Combine like terms

a= -4

4 0
3 years ago
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F(1) = 3, f(n) = [f(n-1)]?
wlad13 [49]

Answer:

No, they are not equal.

Step-by-step explanation:

f(n) = f(n-1)

Let's say, n = 3. Let's put that in the equation:

f(3) = f(3-1)

f(3) = f(2)

Are they the same? Apparently, no. So, these two functions are not equal.

8 0
3 years ago
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