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sammy
5 days ago
7

If DF = 9x - 39, find EF

Mathematics
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A customer/member owes $10.51 and pays $50.00 in cash. The change due is $39.49. Provide the amount owed using the smallest numb
Leona [12618]

The total number of bills and coins is 14.

Step-by-step explanation:

To minimize the count of bills and coins, start with the largest denominations that fit within the amount.

The change due is $39.49.

Start with:

-$20 bill (largest under $39.49)

Remaining: $19.49

-$10 bill (largest under $19.49)

Remaining: $9.49

-$5 bill (largest under $9.49)

Remaining: $4.49

Then:

4 × $1 bills (to cover $4.49)

Remaining: $0.49

-$0.25 coin (quarter)

Remaining: $0.24

2 × $0.10 coins (dimes)

Remaining: $0.04

4 × $0.01 coins (pennies)

The final composition includes:

1 twenty-dollar bill

1 ten-dollar bill

1 five-dollar bill

4 one-dollar bills

1 quarter

2 dimes

4 pennies

Totaling 14 pieces.

5 0
3 months ago
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils left over. How many pencils were i
tester [12383]

Answer:

12 pencils per package.

Step-by-step explanation:

Details provided:

Ethan purchased 4 packages of pencils.

Number of Packages = 4

Number of pencils shared with friend = 8 pencils

Pencils remaining = 40 pencils

∴Total Number of Pencils = Pencils given to friend + Pencils remaining = 40+8 =48

Total Pencils in each package = \frac{\textrm{Total Number of Pencils}}{\textrm{No Of Packages}}= \frac{48}{4}= 12 \ pencils

8 0
3 months ago
Mark and robyn used base-ten blocks to show that 200 is 100 times as much as 2. Whose model makes sense whose model is nonsense?
babunello [11817]

Answer:

Robyn's model is logical, while Mark's is illogical.

Step-by-step explanation:

This question doesn't require calculations. What we need to do is analyze each model logically.

Mark's

Mark's representation indicates 20 instead of 2, which signifies that 200 is ten times greater than 20, making it nonsensical.

Robyn's

Robyn's representation displays 2, suggesting that 200 is 100 times greater than 2, which is not only accurate but also reasonable since 100 * 2 equals 200.

4 0
3 months ago
The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the num
Svet_ta [12734]
The provided equation illustrates the total distance Michael covered during an afternoon of sledding. In this equation, u represents the hours spent climbing the hill, while (u – 2) reflects the hours spent sledding down. To find the solution: The correct choice is D.
8 0
2 months ago
Read 2 more answers
Mr. Deets is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How ma
lawyer [12517]

3 distinct arrangements - 1 x 9 (or 9 x 1) and 3 x 3

Thus, the total number of arrangements = 2 x 2 = 4 = an even count

Initially, we identify pairs of different factors of 9.

The pairs of factors for 9 are:

(1, 9) and (3, 3)

For each of these pairs, Mr. Deets can create 2 arrangements.

This means the total arrangements Mr. Deets can construct = 2 x 2 = 4, confirming that the overall number is even.

6 0
2 months ago
Read 2 more answers
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