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2 years ago

What is the unit rate of 5/7 : 4/7?

Mathematics

1 answer:

allochka39001 [22]2 years ago

6 0

9514 1404 393

Answer:

a = 5/4

Step-by-step explanation:

To make the second number in this ratio be 1, you need to multiply the whole ratio by 7/4:

(7/4)(5/7) : (7/4)(4/7) = 5/4 : 1 = a : 1

a = 5/4

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Elena paints the back of a aquarium it has a height of 1 3/4 feet the painted area is 5 5/6 what is the length

Paladinen [302]

Answer:

3 1/3 feets

Step-by-step explanation:

Given that:

Height of aquarium = 1 3/4 feets

Area of aquarium = 5 5/6 ft²

The length of aquarium = x

Aquarium is shaped in the form of a rectangle :

Area of a rectangle = Length * width

5 5/6 = x * 1 3/4

35/6 = 7x/4

Cross multiply :

7x * 6 = 35 * 4

42x = 140

x = 140 / 42

x = 3 14/42

x = 3 1/3 feets

Hence, Length of the back of aquarium is 3 1/3 feets

7 0

3 years ago

Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?

Stels [109]

Answer:

C) $P(E) = \frac{3}{6}$

The probability that Mae will roll an odd number

$P(E) = \frac{3}{6}$

Step-by-step explanation:

Step(i):-

Given that Mae has a number cube with 6 sides that are numbered 1 through 6.

n(S) = { 1,2,3,4,5,6,} = 6

Let 'E ' be the event of odd numbers

Mae will roll an odd number

n(E) = {1, 3, 5} = 3

Step(ii):-

The probability that Mae will roll an odd number

$P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}$

$P(E) = \frac{3}{6}$

4 0

2 years ago

If 3500 miles are traveled at a rate of 175 miles per hour, what is the time in hours? (hint: Distance = Rate * Time)

laiz [17]

3500 miles divided by 175 Miles Per Hour. 3500/175=20 Hours.

4 0

2 years ago

How do u simplify an expression? Plz, try to make it steps?

krok68 [10]

Here are the basic steps to follow to simplify an algebraic expression:remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants.

5 0

3 years ago

What is the factorization of 3x2 – 8x + 5?

tatuchka [14]

For this case we must factor the following expression:

$3x ^ 2-8x + 5$

We rewrite the middle term as a sum of two terms whose product is

$a * c = 3 * 5 = 15$

And whose sum is

$b = -8$

These numbers are:

-5 and -3

So:

$3x ^ 2-5x-3x + 5$

We factor the maximum common denominator of each group: $x (3x-5) - (3x-5)$

We take common factor $(3x-5):$

$(3x-5) (x-1)$

Answer:

$(3x-5) (x-1)$

5 0

2 years ago