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mr Goodwill [35]
3 years ago
13

Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​​$1.08

Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0

Answer:

a)

if 1 quarter = $ 0.25

  1 dime = $ 0.10

  1 penny = $ 0.01

so to make the total of $1.08 and its is also required to calculate the number of each coins present without being able to make change for a dollar

therefore we say;

1 Quarter + 8 dimes + 3 penny

: ( 1 × 0.25 ) + ( 8 × 0.10 ) + ( 3 × 0.01 )

: 0.25 + 0.80 + 0.03 = $ 1.08

b)

Now if you have a 4 Quarters, you have change for $1.

If you have 5 dimes, you have change for 2 Quarters.

If you have nickel; one of those can combine with 2 dimes to have a change for a Quarter.

If you have 5 pennies, you have enough change for 1 nickel

Therefore

(4-1)×0.25 + (5-1)×0.1 + (0×0.05) + (5-1)×0.01 = x

(3 × 0.25) + ( 4 × 0.1) + 0 + ( 4 × 0.01) = x

x = 0.75 + 0.4 + 0.04

x = $ 1.19

PROVED

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please help :) Which sentence is true? A. 9.46 times 10 to the 12 power > 4.0 times 10 to the 13 power B. 9.46 times 10 to th
Vikki [24]

Answer:

B

Step-by-step explanation:

The problem is simple because they use powers of 10. When something is multiplied by a power of ten, it is essentially moving the decimal point over for every power.

9.46x10^12= 9460000000000

4.0x10^13= 40000000000000

Although 4 itself is less than 9.46, since is is being multiplied by 10^13, it will be one decimal place bigger.

8 0
3 years ago
janice invests a total of 8000 in two different accounts. the first account returns 5%, while the second account returns 8%. if
Zinaida [17]

Answer:

"She invested $2500 in 5% account and $5500 in 8% account"

Step-by-step explanation:

Let the amount invested in 5% account be "x"

So, the amount invested in 8% account would be "8000 - x"

Interest amount is the percentage multiplied by amount invested. So

Interest of 5% account = 5% of x = 0.05x

Interest of 8% account = 8 % of 8000 - x = 0.08(8000 - x)

Total interest is the sum of these 2 expressions that EQUATES to 565 (given). Let's solve for x:

0.05x + 0.08(8000 - x) = 565\\0.05x+640-0.08x=565\\0.03x=75\\x=2500

and thus,

"8000 - x" = 8000 - 2500 = 5500

Hence,

She invested $2500 in 5% account and $5500 in 8% account

6 0
3 years ago
The cost of a mobile phone processor is directly proportional to its speed.
kompoz [17]

Answer: See explanation

Step-by-step explanation:

We are going to use the formula used in calculating direct proportion which is equal to:

y = kx

where,

x = speed of a processor in GHz

y = the cost in pounds

Therefore, y = kx

500 = 2k

Therefore, y = 2k

3 0
3 years ago
Write an equation of the line that passes through (2,-1) and is parallel to the line y = -3x + 8.
Anika [276]

Answer:

y = -3x +5

Step-by-step explanation:

parallel lines so slope of the lines will be equal.

m1 = m2

y = mx + b,

y = -3x + b

substituting y = -1 and x = 2

-1 = -3(2) + b

-1 = -6 + b

therefore, b = -1 + 6

b = 5

by substituting b = +5

therefore, the equation is,

y = -3x + 5

4 0
3 years ago
8
nika2105 [10]

Answer:

See Explanation

Step-by-step explanation:

Given

\triangle ABC = \triangle DE F

Required

Which would not prove the similarity

\triangle ABC = \triangle DE F  implies that:

The following angles are congruent

\angle A = \angle D

\angle B =\angle E

\angle C =\angle F

And the following lengths are congruent

AB = DE

BC =EF

CA = FD

The options are not clear; so, it's a bit difficult to select the correct option.

<em>Any of the options that is different from the above list of 6 congruent pairs is the answer to your question.</em>

3 0
3 years ago
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