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2 years ago

Given: AM = 8, AB = 5x +1 and M is the midpoint of AB, find x and AB X= AB=

Mathematics

1 answer:

NARA [144]2 years ago

3 0

Answer:

x = 3

AB = 16

Step-by-step explanation:

Given: AM = 8, AB = 5x +1 and M is the midpoint of AB, the AM = MB

AB = 2AM

5x+1 = 2(8)

5x + 1 = 16

x = 16 - 1

5x = 15

x = 15/5

x = 3

Hence the value of x is 3

Since AB = 5x+1

AB = 5(3) + 1

AB = 15 + 1

AB = 16

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What is the value of y in the equation 4y – 2(1 – y) = –44?

Sergio039 [100]

Answer:

-7

Step-by-step explanation:

To find y, follow these steps:

4y - 2 (1 - y) = -44

First, distribute the -2 into the parenthesis:

4y - 2 + 2y = -44

The reason the 2y is positive is due to the fact that negative and negative cancel each other out and form a positive.

Now, combine like terms:

6y - 2 = -44

To get y, you need to isolate it from the constants. In order to do so, do the inverse relationship for the constant -2. To do this, add 2 to -44:

6y = -42

Now, divide six on both sides. You divide because six is currently being multiplied with y. Keep in mind that the 42 is still negative!

y = -7

Hope this helps!

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3 years ago

8. The probability that Ava gets promoted is 7/10. Find the odds in favor of Ava getting promoted.

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1 year ago

A pattern has 38 black squares to every 24 red squares. What is the ratio of black squares to red squares?

Nostrana [21]

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Step-by-step explanation:

38/24=19/12

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1 year ago

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The ratio of the number of boys to the number of girls in a theater is 7:9. There are 12 more girls than boys. How many children

skelet666 [1.2K]

Ok, there is an equation you can use to solve it.

n is a number.

p is also a number, but different to n.

$\frac { 7 }{ 9 } \cdot \frac { n }{ n } =\frac { p }{ p+12 } \\ \\ \frac { 7 }{ 9 } \cdot 1=\frac { p }{ p+12 } \\ \\ \frac { 7 }{ 9 } =\frac { p }{ p+12 }$

$\\ \\ 7\left( p+12 \right) =9p\\ \\ 7p+84=9p\\ \\ 9p-7p=84\\ \\ 2p=84\\ \\ p=\frac { 84 }{ 2 } \\ \\ p=42$

Therefore:

<u></u> $\frac { 7 }{ 9 } \cdot \frac { n }{ n } =\frac { 42 }{ 42+12 } =\frac { 42 }{ 54 } =\frac { 7 }{ 9 } \cdot \frac { 6 }{ 6 } \\ \\ \therefore \quad n=6$

So all together there were 54 girls and 42 boys in the theatre.

54 + 42 = 96

That's 96 children in total. (Answer)

7:9 = 42:54

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2 years ago