MATHEMATICS HIGH SCHOOL

Simplify 12 - (-8)*4 = ?
A. 20
B. 44
C. 80
D. 16

Answers

Answer 1
Answer: 12-
(-8)*4
12-(-32)= 12+32
44
Answer 2
Answer: You will do multiplication first and you will get -32 now you do 12 - (-32) and get 47

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A rectangle has an area of 112 square units. If its width was half as long and its length was 8 times as long, what would be its new area?
Knowing that 2i is one answer to the equation x^4 - 2x^3 + 6x^2 - 8x + m = 0, find the 'm' and the other possible answers.
Simplify the expression (3/7)^2
If f(x)=x/2+8, what is f(x) when x=10

abbie spent 5/8 of her money and saved the rest. if she spent 45,how much money did she have at first?

Answers

$72

Further explanation

Given:

Abbie spent ⁵/₈ of her money and saved the rest.

She spent $45.

Question:

How much money did she have at first?

The Process:

The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.

Let us make a pattern of 8 units for the amount of money that Abbie had at first.

\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}

Since Abbie spent ⁵/₈ of her money, then we create a pattern of 5 units containing $9 each. Recall that \boxed{\$ 45 / 5 = \$ 9}

\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 45

From the pattern above, we can see that \boxed{ \ 1 \ unit = \$ 9 \ }.

Let us calculate how much money Abbie had at first.

\boxed{ \ 1 \ unit = \$ 9 \ }

\boxed{ \ 8 \ unit = \ ? \ }

\boxed{ \ 8 * \$ 9 = \$ 72 \ }

Thus, the money Abbie had at first is $72.

The complete pattern of Abbie's initial money is as follows:

\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 72

- - - - - - - - - -

Quick Steps:

Let M as Abbie's initial money.

\boxed{ \ (5)/(8) * M = \$ 45 \ }

Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.

\boxed{ \ M = (8)/(5) * \$ 45 \ }

We crossed out 5 and 45.

\boxed{ \ M = 8 * \$ 9 \ }

\boxed{ \ M = \$ 72 \ }

Thus, the money Abbie had at first is $72.

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Keywords: Abbie, spent 5/8 of her money, saved the rest, $45, $72, how much money, she have at first, the pattern
Note that 5/8 is equivalent to $45

1/8 is equivalent to $45 ÷ 5 = 9

8/8 (aal) is equivalent to 8 x 9 = 72

She had $72

terrence finished a word search in 3/4 the time it took frank. charlotte finished the word search in2/3 the time it took terrence.frank finished the word search in 32 min. how long did it take charlotte to finish the word search

Answers

yeah i think the answer could be ;

     2/3 of the time it took Terrence to finish the word search

   time for Terrence; 3/4*32 = 24 min

   time for Charlotte;  2/3*24= 16 min
  
  therefore it took Charlotte 16 min to finish the word.....thx

According to the table listing average daily expenses for a tourist by country based on high and medium categories, Brazil has a range from $12.25 to $18.33, and Greece has a range from $9.48 to $16.55. Which of the two countries has the larger difference between categories?a.Greece

b.Brazil

Answers

Answer:

Option a. Greece.

Step-by-step explanation:

According to the table listing average daily expenses for a tourist by country based on high and medium categories,

Brazil has a range from = $12.25 to $18.33

Greece has a range from = $9.48 to $16.55

To find out the difference in range, first we get range of both the countries.

by subtracting lowest from highest

Brazil = $18.33 - $12.25 = 6.08

Greece = $16.55 - $9.48 = 7.07

= 7.07 > 6.08

Therefore, Greece has the larger difference between categories.

Option a. Greece is the correct answer.
that should be answer no.a

18.33-12.25=6.08
16.55-9.48=7.07
7.07 > 6.08
so the answer should be no.a

25 points? Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?

1. Subtract 4 from 17, then divide by 3.
2. Solve the equation 4c - 3 = 17.
3. Add 4 to 17, then multiply by 3.
4. Solve the equation 3c - 4 = 17.

1, 2, 3, or 4? Thanks :)

Answers

Answer:

solve the equation 3c-4=17

choice 4

Step-by-step explanation:

3c-4=17

3c=17+4

3c=21

3c÷3=21÷3

c=7

age of cousin =7

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!What is the sum of the first 7 terms of the series − 3 + 6 − 12 + 24 −... ?

Answers

Answer:   -129

Step-by-step explanation:

Given the sequence {-3, 6, -12, 24, ... }, we can see that the first term (a) is -3 and the ratio (r) is (6)/(-3) = -2.  

Input those values into the Sum formula:

S_n=(a(1-r^n))/(1-r)\n\nS_7=(-3(1-(-2)^7))/(1-(-2))\n\n.\quad=(-3(1-(-128)))/(1+2)\n\n.\quad=(-3(1+128))/(3)\n\n.\quad=(-3(129))/(3)\n\n.\quad=-129

Evaluate the following expression 5 + 3 x 7 + (5 - 3)² ÷ (7 - 3)

Answers

   5 + 3 x 7 + (5 - 3)² ÷ (7 - 3)
= 5 + 21 + 2² ÷4
=5 + 21 + 4 ÷ 4
=5 + 21 + 1
=27
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