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3 years ago

Calvin has $360 less in his savings account than he had 8 weeks ago. Each

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

Answer:

Calvin withdraws $ 60 each week

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Calvin's account balance difference than 8 weeks ago = - $ 360

Weekly amount Calvin deposits = $ 15

Number of weeks to compare = 8

2. What was his average withdrawal each week?

Let's calculate the weekly average withdrawal this way:

Weekly average withdrawal = [Calvin's account balance difference than 8 weeks ago - (Weekly amount Calvin deposits * Number of weeks to compare)]/Number of weeks to compare

Replacing with the values given:

Weekly average withdrawal = [-360 - (15 * 8)]/8

Weekly average withdrawal = -360 - 120 / 8

Weekly average withdrawal = -480 / 8

Weekly average withdrawal = -60

Calvin withdraws $ 60 each week

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Answer:

$\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3$

Step-by-step explanation:

Let $a$ be the number of bags with 8 onions and let $b$ be the number of bags with 3 onions. We have the following system of equations:

$\begin{cases}a+b=7,\\8a+3b=41\end{cases}$

Subtracting $b$ from both sides of the first equation, we get $a=7-b$ . Substitute this into the second equation:

$8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}$

Therefore, the number of 8-onion bags is:

$a=7-b,\\a=7-3,\\a=\boxed{4}$

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

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3 years ago

50 POINTS!!! PLEASE HELPPPPP Plot 1 2/5, −1/2, and −2 1/10 on the number line.

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Answer:

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Step-by-step explanation: 7/5

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3 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

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2 years ago

#9 and #10 Please show work

Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

$y=2x+3$ ----> equation A

$x=y-8$ ----> equation B

Solve by substitution

Substitute equation A in equation B

$x=(2x+3)-8$

solve for x

$x=2x-5$

$2x-x=5$

$x=5$

Find the value of y

$y=2(5)+3=13$

therefore

The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

$x=5y-1$ ----> equation A

Remember that

$1\ ft=12\ in$

To convert inches to feet divide by 12

$60\ in=60/12=5\ ft$

$x+y=5$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$(5y-1)+y=5$

solve for y

$5y+y=5+1$

$6y=6$

$y=1\ ft$

Find the value of x

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therefore

The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

3 0

3 years ago

At a local grocery store, bananas were on sale. Green bananas were priced at $14.00 and yellow bananas were priced at $12.00. Sa

garri49 [273]

Answer:

Sabrina bought 6 yellow bananas and 3 green bananas

Step-by-step explanation:

Let

Green bananas = x

Yellow bananas = y

Green bananas = $14.00

Yellow bananas = $12.00

Total cost = $114.00

x + y = 9 (1)

14x + 12y = 114 (2)

From (1)

x = 9 - y

Substitute x = 9 - y into (2)

14(9 - y) + 12y = 114

126 - 14y + 12y = 114

- 14y + 12y = 114 - 126

-2y = -12

Divide both sides by -2

y = -12 / -2

= 6

y = 6

Substitute y = 6 into (1)

x + y = 9

x + 6 = 9

x = 9 - 6

= 3

x = 3

Sabrina bought 6 yellow bananas and 3 green bananas

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2 years ago