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Assoli18 [71]
2 years ago
8

Joyce and Jennifer were catching butterflies at first Jennifer caught 12 * 8 more than twice of what Joyce caught. Joyce was ups

et and released a 4th of Jennifer's butterflies and then 8 times as many as Joyce caught flew away after all of this Jennifer only had 6 butterflies left how many butterflies did Joyce catch ​
Mathematics
1 answer:
Komok [63]2 years ago
6 0

Answer:

1536

Step-by-step explanation:

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Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and can
jek_recluse [69]

Answer: $1.25

Step-by-step explanation:

Let the cost of cracker be a.

Let the cost of cookies be b.

Let the cost of candy bars be c.

From the question,

6a + 6b + 6c = $21

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

To solve this, we first pick any two pairs of equation. This will be:

6a + 6b + 6c = $21 ....... i

8a + 5b + 10c = $26 ....... ii

Multiply equation i by 8

Multiply equation ii by 6

48a + 48b + 48c = $168 ....... iii

48a + 30b + 60c = $156 ....... iv

Subtract equation iv from iii

18b - 12c = 12

We then pick another two pairs

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

Multiply equation i by 5

Multiply equation ii by 8

40a + 25b + 50c = $130

40a + 32b + 56c = $148

Subtract the equations

-7b - 6c = -18

Then, solve the new equations formed

18b - 12c = 12 ....... v

-7b - 6c = -18 ....... vi

Multiply equation i by -7

Multiply equation ii by 18

-126b + 84c = -84

-126b - 108c = -324

Subtract the equations

192c = 240

c = 240/129

c = $1.25

From equation v, put the value of c

18b - 12c = 12

18b - 12($1.25) = 12

18b - $15 = $12

18b = $27

b = $27/18

b = $1.5

Since,

6a + 6b + 6c = $21

6a + 6($1.5) + 6($1.25) = $21

6a + $9 + $7.5 = $21

6a + $16.5 = $21

6a = $21 - $16.5

6a = $4.5

a = $4.5/6

a = $0.75

One candy bar cost $1.25

6 0
2 years ago
A bridge builder wants to know the width of a river. He stands at point A along the river. He picks a point C directly across th
Maurinko [17]
<span>width = 90 tan43 degrees = about 84 feet </span>
8 0
2 years ago
Fatima saved $15,000 toward a down payment on a house. She makes $5,375 a month. What is the maximum loan she can take on a hous
Fittoniya [83]

We will use \frac{28}{36} ratio to determine how much can Fatima afford as a loan for her house.

Let gross income of Fatima = $ x

Amount earned by Fatima monthly= $ 5,375

36 % of 5,375=

     \frac{36}{100}\times 5,375=1935$

Maximum amount that can be paid as a loan monthly = $ 1935

Total money that she can pay yearly for house loan if Fatima allowable money for paying loans is $ 1935=

       1935 \times 12=23220$

Money saved as a down payment = $ 15,000

So, maximum amount loan Fatima can take on a house= 23220 + 15000=$38,220

She is not allowed for loan for house if the cost of house is any of the four options.

(B) 28 % of $ 5375=

   \frac{28}{100}\times 5,375=1505$

Maximum amount that Fatima spend on her house monthly= $ 1505

Amount that fatima can spend yearly on her house = 1505× 12 =$18,060

For the four options given , none of the option matches Fatima's expectations.

7 0
2 years ago
Read 2 more answers
The present age of Alex is ‘y’ years. Answer the following
skelet666 [1.2K]

Answer:

(a) After 5 years what will be his age?

"5 + y" years old

(b) What was his age 6 years back?

"y - 6" years old

(c) His grandfather‘s age is 5 times his age, What is the age of grandfather?

"5y" years old

(d) His father’s age is 6 years more than 3 times his age. What is his father’s age?

"6 + 3y" years old

Note: Ignore the quotation marks, ""

5 0
2 years ago
Read 2 more answers
What is 4.75 as an improper fraction in simplest form
jek_recluse [69]
4.75 = 4 75/100 =
 = 475/100 = ( we can divide numerator and denominator by 25 ) = 19/4
Answer:
4.75 as an improper fraction in simplest form is 19/4.
8 0
2 years ago
Read 2 more answers
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