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topjm [15]
3 years ago
15

Sarah's age is ten years more than twice Tanya's age. The sum of their ages is 64. How old is Sarah? ​

Mathematics
1 answer:
givi [52]3 years ago
6 0

Sarah is 46.

n = Tonya’s age

2n + 10 = Sarah’s age

2n + 10 + n = 64

3n + 10 = 64

3n - 10 = 64 - 10

3n = 54

3n/3 = 54/3

n = 18

18 x 2 = 36

36 + 10 = 46

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How does the volume of a cylinder change when its diameter is quadrupled?
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3 0
3 years ago
(50 points + Brainliest)
elena-s [515]

Answer:

x = 8

Step-by-step explanation:

If the line are parallel (those are the ones that dont cross) and a third line crosses both the parallel lines, you get the set up shown in your diagram. Which has EIGHT angles in it. But there's only two measures for all eight of these angles. Four of them are all equal to each other (and the other four all equal to each other) And the two numbers add up to 180°

Here 7x + 12 and 12x - 28 are a couple of the angles that are EQUAL TO each other.

7x + 12 = 12x - 28 Solve.

Subtract 7x from both sides.

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40/5 = x

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8 0
3 years ago
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solong [7]

The solution is x = 1 and x = -3

<em><u>Solution:</u></em>

Given that we have to solve the given equation by factoring

Given equation is:

x^2=2x + 3\\\\x^2 - 2x - 3 = 0

\text{Consider the form } x^2+bx+c

Find a pair of integers whose product is c and and whose sum is b

\text{Compare } x^2-2x-3 = 0 \text{ with } x^2+bx +c\\\\\text{We get } b = -2 \text{ and } c = -3

Now find, a pair of integers whose sum is -2 and product is -3

The integers that satisfies this condition is -1 and 3

When we add - 1 and 3 we get 2

When multiply -1 and 3 we get -3

Thus the pair of integers are -1 and 3

Write the factored form using these integers.

(x-1)(x+3) = 0

The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0

Set the factors equal to 0

x - 1 = 0 \text{ and } x + 3 = 0

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Thus the solution is x = 1 and x = -3

4 0
3 years ago
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