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3 years ago

Luther takes 45 bottles of water on a camping trip. If he drinks 80 % of them how many does he have left?

Mathematics

1 answer:

jeka943 years ago

3 0

Answer:

Step-by-step explanation:

80% of 45 is 36

45-36=9

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Sophia wanted to knit a scarf 1 meters long. On Monday, she knit

Sergio [31]

She knit 1/4 of the total length of the scarf on monday

Answer:

She knit 7/10 of the scarf altogether

Step-by-step explanation:

Please see the attached file for explanation

3 0

3 years ago

Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

Alecia walked 3/10 of a mile from school,stopped at the grocery store on the way, then walked another 4/10 of a mile home.Georgi

Nutka1998 [239]

Answer:

Alecia lives farther from school

Step-by-step explanation:

Georgia

we know that

The distance from the school to her home is 67/100 of a mile

$\frac{67}{100}=0.67\ miles$

Alecia

we know that

The distance from the school to her home is

3/10 of a mile plus 4/10 of a mile

$\frac{3}{10}+\frac{4}{10}=\frac{7}{10}=0.7\ miles$

Compare the distances

$0.7\ miles>0.67\ miles$

therefore

Alecia lives farther from school

3 0

3 years ago

Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds

anastassius [24]

Answer:

The value of the 2nd expression is 14, so the expressions are equivalent.

Step-by-step explanation:

6 + 2x - 2

6 + 2(5) - 2

6 + (10) - 2

16 - 2

3 0

3 years ago

Read 2 more answers

I need the answer help

lisov135 [29]

Answer:

the second one(20)

Step-by-step explanation:

If you pretend 20 is x, you solve the equation by pluging in x (20) into the equation and it gives you 70, 70 is what the big part is and 70+20 is 90, which is the size of a 90degree side.

4(20)-10

80-10

70+20=90

3 0

2 years ago

Read 2 more answers