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3 years ago

Determine the quotient

Mathematics

1 answer:

nexus9112 [7]3 years ago

8 0

Answer:

option 2: $\large \frac{10}{12}$

Step-by-step explanation:

when dividing fractions, you can actually multiply them together by the reciprocal of the second one. (reciprocal is just flipping the fraction)

so, $\frac{2}{3}$ ÷ $\frac{4}{5}$

becomes $\frac{2}{3} * \frac{5}{4}$

to multiply fractions together, just multiply the top and bottom.

2 * 5 = 10

3 * 4 = 12

so the answer would be $\frac{10}{12}$

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A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 8 inches, a width of 3 inches, and a h

ad-work [718]

Answer:

147 in2

Step-by-step explanation:

(Assuming the height is 4 1/2 inches = 4.5 inches)

We need to calculate the area of all six faces of the prism

Two faces have the sides 8 and 3, which area is 8*3 = 24 in2

two other faces have the sides 8 and 4.5, which area is 8*4.5 = 36 in2

the two last faces have the sides 3 and 4.5, which area is 3*4.5 = 13.5 in2

So, summing up all the areas, we have:

24 + 24 + 36 + 36 + 13.5 + 13.5 = 147 in2

5 0

3 years ago

What number divided by 6 leaves a remainder of 5, divided by 5 leaves a remainder of 4, divided by 4 leaves a remainder of 3, an

maria [59]

Answer:

59

Step-by-step explanation:

If a number is divided by $n$ and leaves a remainder $(n-1)$ , then the number $(n+1)$ will be completely divisible by $n$ .

Therefore, when we say a number $x$ , when divided by 6, it leaves a remainder 5, then ( $x+1$ ) will be a multiple of 6.

When we say a number $x$ , when divided by 5, it leaves a remainder 4, then ( $x+1$ ) will be a multiple of 5.

When we say a number $x$ , when divided by 4, it leaves a remainder 3, then ( $x+1$ ) will be a multiple of 4.

When we say a number $x$ , when divided by 3, it leaves a remainder 2, then ( $x+1$ ) will be a multiple of 3.

So, $x+1$ is a common multiple of 3, 4, 5 and 6.

Taking LCM of 3, 4, 5 and 6, we get 60.

So, the number 60 - 1 = 59 is the least such number.

3 0

3 years ago

Simplify the expression given below

Natalka [10]

For this case, what you should do is follow the steps below.
Step 1:
Cross product for sum of fractions.
Step 2:
Rewrite the expression Adding and subtracting terms from the same grade.
Step 3:
Simplify expression.
Answer
Option 4
See attached image.