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11Alexandr11 [23.1K]
2 years ago
12

The larger of two numbers is five more than the smaller number. If the sum of the numbers is 59, find the numbers

Mathematics
1 answer:
Andrews [41]2 years ago
4 0

Answer:

27 and 32.

Step-by-step explanation:

Let the two numbers be A and B.

The larger number (let's use B) is 5 more than the smaller one (A). In other words:

B=5+A

Their sum is 59. So:

A+B=59

This is a system of equations. Solve by substituting the first equation into the second. Thus:

A+(5+A)=59

Combine like terms:

2A+5=59

Subtract 5 from both sides:

2A=54

Divide both sides by 2:

A=27

So, the smaller number is 27.

This means that the bigger number is 27+5=32.

So, the two numbers are 27 and 32.

And we're done!

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Angle a = 126. What is the measure of angle b? Explain how you calculated your answer.

Angle a = 126 Write an equation(s) in terms of b to find the measure of angle h.

Calculate the measure of angle h, using the equation(s) you wrote for Part B.

How would knowing the measure of angle y change the equation(s) you wrote in Part B to find the measure of angle h?

2021 Muminate Education Inc Your input: factor x2+4x+3.

To factor the quadratic function x2+4x+3, we should solve the corresponding quadratic equation x2+4x+3=0.

Indeed, if x1 and x2 are the roots of the quadratic equation ax2+bx+c=0, then ax2+bx+c=a(x−x1)(x−x2).

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The roots are x1=−1, x2=−3 (use the quadratic equation calculator to see the steps).

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Step-by-step explanation:

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2 years ago
How do we measure the height of mountain? Grade 6
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I HAVE 5 MIN TO TURN THIS IN!!!! PLEASE HELP ME!!!<br> IT'S IN THE IMAGE BELOW
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Answer:

<h3>a.  x = 8 years</h3><h3>b.  52,000</h3><h3 />

Step-by-step explanation:

company A = 28,000 + 3,000 (x)

company B = 36,000 + 2,000 (x)

where x = no. of years.

  • <u>company A = company B</u>

28,000 + 3,000 (x) = 36,000 + 2000 (x)

3,000 (x) - 2,000 (x) = 36,000 - 28,000

1,000 (x) = 8,000

x = <u>8,000</u>

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<h3>x = 8 years</h3>

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company A = 28,000 + 3,000 (8)

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2 years ago
-2m(m+n-4)+5(-2m+2n)+n(m+4n-5)
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Hello! And thank you for your question!

First we are going to expand the equation:

<span>−2<span>m^<span><span>​2</span><span>​​</span></span></span>−2mn+8m−10m+10n+nm+4<span>n<span><span>​^2</span><span>​​</span></span></span>−5n

Then we are going to combine like terms:

</span><span><span>−2<span>m<span><span>​^2</span><span>​​</span></span></span>+(−2mn+mn)+(8m−10m)+(10n−5n)+4<span>n<span><span>​^2</span><span>​​</span></span></span></span>
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Then finally, simplify:

−2<span>m<span><span>​^2</span><span>​​</span></span></span>−mn−2m+5n+4<span>n<span>​^<span>2

Final Answer:
</span></span></span>
−2m​^2​​−mn−2m+5n+4n​^2
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Answer:

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