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marishachu [46]

3 years ago

15

Deana bought 12 packages of batteries. Some of the packages contained 4 batteries and come contained 6 batteries. She bought a t

otal of 62 batteries. How many packages did Deana buy that contained 6 batteries? A: 7 B: 5 C: 3 D: 6

1 answer:

lana [24]3 years ago

3 0

The answer is C:3 if you have any more questions just let me know I will be happy to help. Have a nice day.

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a debt of $6000 due today is to be settled by two payments due three months from now and 9 months from now respectively . what i

Leto [7]

Answer:

$4194.39

Step-by-step explanation:

Two equal payments one after 3 months and another after 9 months respectively are used to settle a debt of $6000 due today.

We have to calculate the size of the equal payments at 6% compounded quarterly.

Let the amount be $x.

So, $(x + x) = $2x will be the total sum after interest.

Therefore, $6000 will be charged for 3 months at 6% interest quarterly and $(6000 - x) will be charged for (9 - 3) = 6 months at 6% interest quarterly.

The equation we can write is

$6000 (1 + \frac{6}{100} )^{1} + (6000 - x)(1 + \frac{6}{100} )^{2} = 2x$

⇒ 6000 × 1.06 + ( 6000 - x)(1.1236) = 2x

⇒ 3.1236x = 6000 × 2.1836

⇒ x = $4194.39 (Answer)

4 0

4 years ago

john works at a grocery store and makes $11 amount of dollars an hour. how much will be in johns paycheck this week if he worked

Arlecino [84]

Answer: $352

Step-by-step explanation:

6 0

3 years ago

A stained glass window is going to be installed in a semi-circular opening, which is above a 34 inch wide door. If the stained g

Tasya [4]

The area of a full circle would be Area = PI x r^2

The diameter would be the width of the dorr, so the radius would be half that. 34/2 = 17 inches.

Area for a full circle would be 3.14 x 17^2 = 907.46 square inches.

A semi circle is a half circle.

The area would be 907.46 / 2 = 453.73 square inches.

Multiply the area by the cost:

453.73 x 0.95 = 431.04

The answer is C.

3 0

3 years ago

Which expression is equivalent to the expression below? (x/x+4)/x

Yuki888 [10]

<span>Which expression is equivalent to the expression below? (x/x+4)/x = 5/x

a. (x/x+4)(x/1) =
b. (x/x+4)(1/x) = 5/x
c. (x+4/x)(1/x) =
d. (x+4/x)(x/1)</span>

3 0

3 years ago

Read 2 more answers

Three friends met for a book club at a coffee shop, each friend ordered a cup of coffee and two donuts. the total of the order w

4vir4ik [10]

Answer:

$Cost\ of\ donut=\frac{49}{24}\approx \$2.042\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

Step-by-step explanation:

a.

$Let\ cost\ of\ coffee=y\\\\cost\ of\ one\ donut=x\\\\Each\ friend\ buy\ one\ coffee\ and\ two\ donuts\\\\Amount\ for\ 1\ friend=Cost\ of\ coffee+2\times cost\ of\ donut\\\\Amount\ for\ 1\ friend=y+2x\\\\Amount\ required\ for\ 3\ friend=3\times Amount\ for\ 1\ friend\\\\Amount\ required\ for\ 3\ friend=3\times (y+2x)\\\\Amount\ required\ for\ 3\ friend=3y+6x\\\\Total\ bill=\$ 22\\\\3y+2x=22\\\\Given\ cost\ of\ coffee=\$3.25\\\\y=\$3.25$

$Hence\ solution\ of\ following\ system\ of\ equation\ will\ give\ cost\ of\ donut:\\\\3y+6x=22\\\\y=3.25\\\\\\Substitute\ y=3.25\ in\ first\ equation\\\\3\times 3.25+6x=22\\\\9.75+6x=22\\\\6x=22-9.75\\\\6x=12.25\\\\x=\frac{12.25}{6}\\\\x=\frac{49}{24}\approx \$2.042\\\\Cost\ of\ donut=\frac{49}{24}\approx \$2.042$

See attached diagram.

b.

$Each\ friend\ takes\ 2\ donuts\\\\Total\ donuts=Number\ of\ friends\times 2\\\\Total\ donuts=3\times 2=6\\\\cost\ of\ donuts=number\ of\ donuts\times cost\ of\ 1\ donut\\\\cost\ of\ donuts=6\times \frac{49}{24}\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

5 0

3 years ago