Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each does he have . SHow your work

Answers

Answer 1
Answer: x-\ nickels\ny-\ quarters\n\n0,05x+0,25y=8,85\nx+y=49\ \ \ \ x=49-y\n\n\0,05(49-y)+0,25y=8,85\n2,45-0,05y+0,25y=8,85\n0,2y+2,45=8,85\ \ \ | subtract\ 2,45\n0,2y=6,4\ \ \ | divide\ by\ 0,2\ny=32\n\nx=49-32=17\n\nHe\ had\ 17\ nickels\ and\ 32\ quarters.

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1. Which expressions is the prime factorization of 90
100 points please hurryFind the expression for -

Which ordered pair will solve the equation 2 × 4 + x = y?A.
(5, 16)

B.
(4, 12)

C.
(3, 12)

D.
(2, 9)

Answers

This answer uses NMF, which you can find out about on my profile:

Preliminary work:
Following the BIDMAS order of operations, we can calculate part of it already, and that's the 2•4, which equals 8.
Therefore, the equation now reads:
8+x = y

x = 5:
8+5 = 13
13 ≠ 16
13 ≠ y

x = 4:
8+4 = 12
12 = 12
12 = y

Therefore, the pair is (4, 12)

How much will you save per lb, by buying the least expensive? Round to the nearest cent. 2.5 lbs for $8.75 or 3 pounds for $9.75.

Answers

Answer:

$0.25 per pound.

Step-by-step explanation:

Let us find unit rate for both quantities.

\text{Price per pound}=\frac{8.75\text{ dollars}}{2.5\text{ pound}}

\text{Price per pound}=3.5\frac{\text{ dollars}}{\text{ pound}}  

Therefore, cost of per pound for first given rate is $3.5.

Now let us find unit rate for second quantity.

\text{Price per pound}=\frac{9.75\text{ dollars}}{3\text{ pound}}

\text{Price per pound}=3.25\frac{\text{ dollars}}{\text{ pound}}

We can see that price for second quantity is less than 1st. To find the savings per pound we will subtract 3.25 from 3.5.

\text{Savings per pound}=3.50-3.25

\text{Savings per pound}=0.25

Therefore, we will save $0.25 per pound by buying the least expensive.

Answer:

0.25

Step-by-step explanation:

Burger patties come packed 6 in a package, and burger buns come packed 8 in a package. We want to buy the least number of patties and buns possible, while still making sure that we have exactly one patty for each bun (no leftovers). How many packages of buns do we need to buy?

Answers

You would need to buy at least 3 packages of buns to match the 4 packages of patties.

How many packages of buns do we need to buy?

To solve this problem, we need to find the least common multiple (LCM) of the number of patties and the number of buns per package. This LCM will ensure that we have an equal number of patties and buns without any leftovers.

Given that there are 6 patties per package and 8 buns per package, we can find the LCM of 6 and 8.

The prime factorization of 6 is 2 x 3, and the prime factorization of 8 is 2 x 2 x 2. To find the LCM, we take the highest power of each prime factor that appears in either number: 2³ x 3 = 24.

So, we need 24 patties and 24 buns to have an equal number of both without any leftovers. Since each package contains 6 patties and each package contains 8 buns, we can divide the total number of patties and buns needed by the number in each package: 24 / 6 = 4 packages of patties and 24 / 8 = 3 packages of buns.

Therefore, you would need to buy at least 3 packages of buns to match the 4 packages of patties and ensure that you have exactly one patty for each bun.

Read more about buns here: brainly.com/question/148081

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The square of a number exceeds that number by 12. What are the two possible solutions?3 or -4
3 or 4
-3 or 4

Answers

x^2=x+12
minus x+12 both sides
x^2-x-12=0
factor
(x-3)(x+4)=0
set each to zero

x-3=0
x=3

x+4=0
x=-4

x=3 or -4

answer is first one
The square of a number exceeds that number by 12. What are the two possible solutions would e B i think

The diameter of a circle is 14 inches. Find the circumference and area. Use 22/7 for pi

Answers

Answer:

circumference = 44 in.

area = 154 in.

Step-by-step explanation:

Circumference = pi * d = (22/7) * 14 = 44 inches

Area = pi*r^2

r = 1/2 * d = 1/2 * 14 = 7

Area = (22/7) * (7^2) = (22/7)  * 49 = 154 inches

hope this helps! <3

John has a total of 13 coins in his pocket. Of the 13 coins, they are all either quarters or dimes. The total value of the coins is $2.50. How many quarters does John have in his pocket?

Answers

8 quarters = (8 x .25) = $2.00

5 dimes = (5 x .10) = $.50

$2.00 + $.50 = $2.50

8 + 5 = 13