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3 years ago

Find the number that makes the ratio equivalent to 7:8. :24

Mathematics

1 answer:

Alika [10]3 years ago

3 0

Answer:

21:24

Step-by-step explanation:

7:8 is your ratio

so if _:24 is equivalent, you have to figure out what 24 is divisible by to equal 8

8×3=24

so now we have to multiply 7 by 3

7×3=21

so your answer is 21:24 = 7:8

hope this helps :)

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A line, line segment, or ray that intersects a line segment at its midpoint is a segment bisector. True or fals?

Leokris [45]

Answer:

true.

Step-by-step explanation:

hope this helps, i looked it up :)

7 0

3 years ago

Read 2 more answers

Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m

Dovator [93]

Option a: $\frac{m^{5} }{162n}$ is the equivalent expression.

Explanation:

The expression is $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ where $m\neq 0, n\neq 0$

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

$\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }$

Cancelling the like terms, we have,

$\frac{3^{-3}m^{5} n^{-1}}{6 }$

This equation can also be written as,

$\frac{m^{5}}{3^{3}6 n^{1} }$

Multiplying the terms in denominator, we have,

$\frac{m^{5} }{162n}$

Thus, the expression which is equivalent to $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ is $\frac{m^{5} }{162n}$

Hence, Option a is the correct answer.

8 0

3 years ago

Read 2 more answers

X² + 7x + 12 factorise it

Sidana [21]

Step-by-step explanation:

x²+7x+12

x²+4x+3x+12

x(x+4)+3(x+4)

(x+3)(x+4)

hope it helps

4 0

2 years ago

A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other.

Alex Ar [27]

Answer:

24 inches
120 inches

Step-by-step explanation:

The lengths can be found by considering their ratio:

short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

s +5s = 144

s = 144/6 = 24

5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

5 0

2 years ago

Workers are loading boxes onto a truck. So far, they have loaded 48 boxes onto the truck

Talja [164]

Answer:

1,200 total on truck

Step-by-step explanation:

48=4% loaded on a truck and they have 96% left to load

So set up a proportion and it should look like this

48 over x = 4 over 100

48/x=4/100

Do cross multiplication 100×48= 4,800÷ 4 = 1,200 total on truck

=1,200 total on truck

Hope this helps, have a nice day! :D

5 0

3 years ago