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BartSMP [9]
3 years ago
9

Convert the decimal expansion 0.2777... to a fraction.

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0
A = 0.2777 ... = 0.2(7)

10a = 10 * 0.2(7)=2.(7)
100a = 100 * 0.2(7) = 27.(7)

100a - 10a = 27.(7) - 2.(7)
90a = 25

a=\frac{25}{90}=\frac{5}{18}

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Hamburger buns come in packages of 8. Hamburger patties come in packages of 10.
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Answers/Step-by-step explanation:

A. LCM

B. Greatest Common Factor(GCF) shows the largest whole number, in this case patties and buns, would be a part of the whole that matches both numbers. Neil is unable to buy parts of packages because that not how most stores do business. Least common multiple(LCM) is the number that is both closest in value to the original number while being equal for all numbers. in that case, Neil is buying whole packages so it would work.

C. Neil would buy 4 packages of hamburger patties and 5 packages of hamburger buns. He could make 20 burgers.

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3 years ago
Lia has a dog and a cat. Together, the pets weigh 24 pounds. The dog weighs 2 times as much as the cat.
telo118 [61]

Answer:

The dog weighs 16 pounds, while the cat weighs 8 pounds

Step-by-step explanation:

Let's call the weight of the dog d, and the weight of the cat c.

d+c=24

d=2c

Substitute the second equation into the first:

(2c)+c=24

3c=24

c=8

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Hope this helps!

3 0
3 years ago
Logan is going to invest in an account paying an interest rate of 3.1% compounded continuously. How much would Logan need to inv
skad [1K]

Answer:

yessir

Step-by-step explanation:

5 0
3 years ago
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Sebastian wants to create a right triangle with side lengths 14 inches, 48 inches, and 5
allochka39001 [22]

Answer: Choice A

\text{Yes, because } 14^2+48^2 \text{ is equal to } 50^2

=======================================================

Explanation:

The pythagorean theorem is a^2+b^2 = c^2

The value of c is always the longest side, aka hypotenuse.

The order of 'a' and b doesn't matter.

So a = 14, b = 48, c = 50

We have a^2+b^2 = 14^2+48^2 = 196+2304 = 2500

We also have c^2 = 50^2 = 2500

Both sides result in 2500 which proves that 14^2+48^2 = 50^2 is a true statement. Therefore, we do have a right triangle.

7 0
2 years ago
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