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3 years ago

The larger of two numbers is 5 less than twice the smaller. Their sum is 43. Find the numbers.

1 answer:

5 0

Let's set up an equation.
smaller number = x
larger number = 2x - 5
Now set up the equation so that the larger number plus the smaller number adds up to 43.
x + 2x - 5 = 43
3x - 5 = 43 ( I added the x and 2x)
3x = 48 ( I added 5 to both sides)
x = 16 (I divided both sides by 3)

Now let's check it. Substitute 16 for every time there is an x.

16 + 2(16) - 5 = 43
16 + 32 - 5 = 43
48 - 5 = 43
43 = 43
It checks. x is equal to 16, so that means:
smaller number = 16
larger number = 27

Hope this helps =)

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Answer:

The perimeter is $P=73.12\ cm$

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the circumference of a semicircle

plus the perimeter of a square minus the diameter of the circle

$P=\pi r+4(b)-D$

we have

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substitute

$P=(3.14)(8)+4(16)-16$

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3 years ago

What is the value of R?

Vinil7 [7]

Answer:

Step-by-step explanation:

Subtract 150 from both sides

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r ≤ 12.5

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2 years ago

Read 2 more answers

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marysya [2.9K]

Answer: -75

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To find f(-10) or the value of the function when x = -10 we simply substitute -10 in for x in our function.

So we have 7(-10) - 5 or -70 - 5 which equals -75.

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Since your answer to this problem was a, your answer is correct.

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3 years ago

A producer has fixed expenses of $980 to put on a 3-day production of a play. Each ticket to the play will be sold for $5.00. Th

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Answer:

196 tickets

Step-by-step explanation:

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Dividing through by 5:

x ≥ 980

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3 years ago

Set up and solve an equation to find the measure of each missing angle.

andrew11 [14]

Answer:

<A = 76°

<B = 63°

<C = 41°

Plug in the value of x

<C = 34 + 7

<C = 41°

Step-by-step explanation:

$63 + (2x + 8) + (x + 7) = 180$ (sum of ∆)

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Divide both sides by 3

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Plug in the value of x

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Plug in the value of x

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3 years ago