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ANEK [815]
3 years ago
11

(-3/4)(-1 3/4)evaluate ​

Mathematics
1 answer:
Talja [164]3 years ago
8 0

Answer:

5 1/4

Step-by-step explanation:

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Help please due tonight <br><br>50 points + brainliest​
Leviafan [203]

Answer:

7. -37/36 or -1 1/36

8. -3/10

9. 1/24

10. -118/21 or -5 13/21

11. 97/12 or 8 1/12

12. 49/8 or 6 1/8

Step-by-step explanation:

To subtract fractions, they must have the same denominator. The common denominator will be the LCM (lowest common multiple) of the two denominators. Then, combine the fractions and simplify.

7. -\frac{1}{4}-\frac{7}{9}  Find a common denominator

=-\frac{1*9}{4*9}-\frac{7*4}{9*4}

=-\frac{9}{36}-\frac{28}{36}

=\frac{-9-28}{36}   Combine the fractions

=\frac{-37}{36}    Answer. Already in lowest terms.

=-1\frac{1}{36} Keep a negative number. 37 goes into 36 one time, leaving 1 remainder (becomes numerator)

8. \frac{3}{5}-\frac{9}{10} Find a common denominator

=\frac{3*2}{5*2}-\frac{9}{10}

=\frac{6}{10}-\frac{9}{10}

=\frac{6-9}{10} Combine the fractions

=\frac{-3}{10} Answer in simplest form.

9. \frac{5}{8}-\frac{7}{12} Find common denominator

=\frac{5*3}{8*3}-\frac{7*2}{12*2}

=\frac{15}{24}-\frac{14}{24}

=\frac{15-14}{24} Combine the fractions

=\frac{1}{24} Answer in simplest form

10. -1\frac{1}{3}-4\frac{2}{7} Translate to improper fraction

=-\frac{4}{3}-\frac{30}{7} Multiplied each whole number with base, added to numerator

=-\frac{28}{21}-\frac{90}{21} Found common denominator

=\frac{-28-90}{21} Combined fractions

=\frac{-118}{21} Answer in improper form

=-5\frac{13}{21} Answer as a mixed number

11. 5\frac{5}{6}-(-2\frac{1}{4}) Convert to improper fraction

\frac{35}{6}-(-\frac{9}{4}) Two minuses make a plus

=\frac{35}{6}+\frac{9}{4} Find common denominator

=\frac{35*2}{6*2}+\frac{9*3}{4*3}

=\frac{70}{12}+\frac{27}{12}

=\frac{70+27}{12} Combined fractions

=\frac{97}{12} Answer as improper fraction

=8\frac{1}{12} Answer as mixed fraction

12. 12\frac{1}{2}-6\frac{3}{8} Convert to improper fraction

\frac{25}{2}-\frac{51}{8}

\frac{25*4}{2*4}-\frac{51}{8} Find common denominator

\frac{100}{8}-\frac{51}{8}

\frac{100-51}{8} Combined fractions

\frac{49}{8} Answer as improper fraction

8\frac{1}{8} Answer as mixed number

5 0
3 years ago
A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in. The length
Sever21 [200]

Answer:

width = 1.8 in

length =   3.6 in

height =8-3w =8-3(1.8)= 2.6 in

Step-by-step explanation:

A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in

Let l , w and h are the length , width and height

l +w+h=8\\l=2w

Plug it in the first equation

2w+w+h=8\\3w+h=8\\h=8-3w

volume the box is length times width times height

volume = (2w)(w)(8-3w)\\16w^2-6w^3

To get maximum volume we take derivatived

v'=32w-18w^2

set the derivative =0 and solve for w

0=32w-18w^2\\0=-2w(9w-16)\\w=0 , w= \frac{16}{9}

width = 1.8 in

length = 2w= 3.6 in

height =8-3w =8-3(1.8)= 2.6 in

6 0
3 years ago
Rene is going to the lake to visit some friends. If the lake is 60 miles away and Rene is driving at 40 miles per hour the entir
MArishka [77]

It will take her an hour and a hlaf

5 0
3 years ago
Find the missing side length of the triangle 48 units 14 units​
Tpy6a [65]

Answer:

what are the options? I would say something like 50-60

5 0
3 years ago
Renaldo will write 3/20 as a decimal. Which of the following methods should he use?
makvit [3.9K]

ANSWER

1. Multiply the fraction by 5/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.

EXPLANATION

Renaldo wants to write

\frac{3}{20}

as a decimal.

He needs a denominator of 100, so he can multiply by

\frac{5}{5}

to obtain:

\frac{3}{20}  =  \frac{3 \times 5}{20 \times 5}

This will be

=  \frac{15}{100}

He can now obtain the decimal equivalent as

= 0.15

The correct choice is option 1.

3 0
3 years ago
Read 2 more answers
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