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kolbaska11 [484]
3 years ago
10

Brian and Zack went to the store and bought packs of gum. Brian bought 3 less packs than twice the number zack bought. Together

they bought a total of 30 packs of gum. How many packs did each of them buy?
Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Answer:

  • Zack: 11
  • Brian: 19

Step-by-step explanation:

Let z and b represent the number of packs that Zack and Brian bought, respectively. Then the problem statement tells us ...

  b = 2z -3 . . . . . . . Brian bought 3 fewer than twice what Zack bought

  b + z = 30 . . . . . . they bought a total of 30 packs

Using the first equation to substitute into the second, we have ...

  (2z -3) +z = 30

  3z -3 = 30

  3z = 33 . . . . . . add 3

  z = 11

  b = 2·11 -3 = 22 -3 = 19

_____

<em>Check</em>

  b + z = 19 + 11 = 30 . . . . answer checks OK

Zack bought 11 packs; Brian bought 19 packs of gum.

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nevsk [136]

Answer: 90 degrees, 43 minutes, 16 seconds

Step-by-step explanation: To convert from decimal degrees to degrees minutes and seconds, the whole number part which is 90 is the degree, then multiplying the decimal part (0.721) by 60 gives the minutes which is 43 and finally multiplying the remaining decimal (0.26) by 60 gives the seconds which is approximately equal to 16

6 0
3 years ago
Assume Pina Colada Corp. uses the periodic inventory system and has a beginning inventory balance of $5800, purchases of $65000,
babymother [125]

The inventory account expected to have by December 31 is more than $5800. Option C

<h3>How to calculate the end inventory</h3>

The formula for end inventory is given as ;

Ending inventory = Beginning inventory + net purchases –sales

Beginning inventory = $5800

Net purchases = $65000

Sales = $112000

Put into the formula

Ending inventory = $ 5800 + 65000 - 112000

Add first,

Ending inventory = $ 70800 - 112000

Ending inventory = $ -41, 200

Thus, the inventory account expected to have by December 31 is more than $5800. Option C

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4 0
2 years ago
What is the answer to (13x+30)-(20x+6)
AlekseyPX
Answer:

-7x + 24

Explanation:

(13x + 30) - (20x + 6)

13x + 30 - 20x - 6

-7x + 30 - 6

-7x + 24
8 0
3 years ago
I need help with this !! chart
Burka [1]

Answer:

Make coordinates with this table.

Step-by-step explanation:

What I think from these tables is that you can make coordinates with these points. Here are the instructions for you to follow-

  1. See the "y" and "x". These are the axis. So make coordinates with these. Ex- (0,3), (1,5) and so on
  2. Plot these coordinates in a graph paper.
  3. After plotting them, you might find the shape it made.

I hope it helps you.

3 0
3 years ago
Compute the monthly payments for the add on interest loan. The amount of the loan is $8,276.17. The annual interest rate is 5.7%
podryga [215]

The monthly payments for this add on interest loan are of $164.71.

Given Information and Formula Used

It is given that for an add on interest loan,

Principal Amount, p = $8,276.17

Annual Interest Rate, r = 5.7%

Term of the loan, T = 5.5 years

The formula for simple interest is given as follows,

I = (p)(r)(t)/100 ............... (1)

The formula for total amount of add on interest is given by,

A = p + I ....................... (2)

Computing the Interest

Substitute the given values of p, r, and t in the formula (1) of interest to get,

I = (8276.17)(5.7)(5.5)/100

I = 259457.9295/100

I = $2,594.58

Computing the Monthly Payment for Add-on Interest Loan

Substituting the values of p and I in the formula (2), we obtain the total amount as,

A = $ (8276.17 + 2594.58)

A = $ 10,870.75

Monthly payment for the add on interest loan = A/t(in months)

=  $ (10,870.75/66)

= $164.71

Therefore, monthly payments of $164.71 are to be made for the add on interest loan.

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7 0
1 year ago
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