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3 years ago

Hannah and Francine have $120. Hannah and Peter have $230. Peter has 6 times as much money as Francine. How much money does Hann

ah have?

Mathematics

1 answer:

aivan3 [116]3 years ago

5 0

$x-Francine's\ money\\6x-Peter's\ money\\120-x-Hanna's\ money\\\\120-x+6x=230\\-x+6x=230-120\\5x=110\ \ \ |:5\\x=22\\\\6x=6\cdot22=132\\\\120-22=98\\\\Hanna\ has\ \$98$

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One month Tammy rented 2 movies and 6 video games for a total of $ 42 . The next month she rented 5 movies and 3 video games for

EastWind [94]

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

One month, Tammy rented 2 movies and 6 video games for a total of $42. This means that:

2m + 6v = 42 ________ (1)

The next month she rented 5 movies and 3 video games for a total of $30. This means that:

5m + 3v = 30 _________(2)

We now have two simultaneous equations:

2m + 6v = 42 ________ (1)

5m + 3v = 30 _________(2)

Multiply (2) by 2, and we have:

2m + 6v = 42 __________ (1)

10m + 6v = 60 _________ (3)

Subtract (1) from (3):

10m + 6v = 60

-<u> 2m + 6v = 42</u>

=> m = 18 / 8

m = $2.25

Put the value of m back in (1):

2(2.25) + 6v = 42

4.5 + 6v = 42

=> 6v = 42 - 4.5 = 37.5

v = 37.5 / 6

v = $6.25

Therefore, the rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

5 0

3 years ago

(Please help)Choose the correct answer and please explanation each (Brainliest)

Vesnalui [34]

Answer:

1. C

2. D

3. C

Explanation:

1. Girls = 12 plus twice the number of boys, so C. y = 12 + 2x.

2. You have to see which point has the second value being greater than the first value:

A) -1 > -2 is not true

B) 0 > 1 is not true

C) 2 > 3 is not true

D) 8 > 4 is true, so it's D

3. Add the two values and see if it's less than 5

A) -1-4 < 5 is true

B) 0 + 4 < 5 is true

C) 1 + 7 < 5 is not true, so this is the answer

D) 2 + 2 < 5 is true

3 0

2 years ago

write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0

1 year ago

Round 1,490 to the nearest hundred

Arlecino [84]

The answer is 1,500..

3 0

3 years ago

Read 2 more answers

Which of the following is equivalent to (81m^6)^1/2?

ch4aika [34]

That would be option A
because square root of 81 is 9 and square root m^6 is m^3.

3 0

3 years ago

Read 2 more answers