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VikaD [51]
2 years ago
6

The health benefits Tom receives from his employer cover 43% of the total monthly premium of $345.00. How much does Tom have to

pay each month?
a. $148.35
b. $196.65
c. $302.00
d. $288.00
Mathematics
2 answers:
Elza [17]2 years ago
5 0

Answer:

The Amount tom has to pay is $196.65 therefore, Option b is correct

Step-by-step explanation:

Tom recieves 43% of total monthly premium

That means out of 100%  he is getting 43% he has to pay (100%-43%)= 57% of $345.00

The amount Tom has to pay each month is 57\%\cdot 345.00 it will become .57 \cdot 345.00=196.65

57\%=\frac{57}{100}=.57

Therefore,The Amount tom has to pay is $196.65 that is option b is correct


kap26 [50]2 years ago
4 0
He has to pay 57%, (%100 - %43)

57% of $345 can be worked out my multiplying by the percentage or the decimal:
345 * 57% = $196.65
345 * 0.57 = $196.65    <- same answer

He has to pay $196.65 (B)

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At a store, apples cost $0.80 $0.80 each and oranges cost $0.95 $0.95 each. Harry buys some apples and oranges and spends $9.55
gregori [183]

Answer:

Harry buys 6 apples and 5 oranges at the store.

Step-by-step explanation:

Given:

Cost of each apples = $0.8

Cost of each oranges = $0.95

Total money spend =$9.55

Number of fruits bought= 11

We need to find the number of apples bought and number of oranges were bought.

Solution:

Let the number of apples bought be 'a'.

Let the number of oranges were bought be 'o'.

Number of fruits bought= 11

So we can say that;

Number of fruits bought is equal to sum number of apples bought and number of oranges were bought.

framing in equation form we get;

a+o=11 ⇒ equation 1

Now we can say that;

Total money spend is equal to number of apples bought multiplied by Cost of each apples plus number of oranges were bought multiplied by Cost of each oranges.

framing in equation form we get;

0.8a+0.95o=9.55 ⇒ equation 2

Now Multiplying equation 1 by 0.8 we get;

0.8(a+o)=0.8\times11

0.8a+0.8o=8.8 ⇒ equation 3

Subtracting equation 3 from equation 2 we get;

0.8a+0.95o-(0.8a+0.8o)=9.55-8.8\\\\0.8a+0.95o-0.8a-0.8o=0.75\\\\0.15o=0.75

Dividing both side by 0.15 we get;

\frac{0.15o}{0.15}=\frac{0.75}{0.15}\\\\o=5

Substituting the value of o in equation 1 we get;

a+o=11\\\\a+5=11\\\\a=11-5=6

Hence Harry buys 6 apples and 5 oranges at the store.

3 0
2 years ago
Which part of the proof does the fourth statement and reason represent?
denis-greek [22]

Answer:

Option B is correct.

Reason:It is an argument

Step-by-step explanation:

Given: AB \cong BC  and BC \cong EF

By transitive property:  a = b  and b = c then, a =c

⇒AB \cong EF

AB = EF                                [def of \cong segment]

By Segment Addition Postulate states that given  two points A and C, and a third point B lies on the line segment AC if and only if the distances between the  points satisfy the equation

AB + BC = AC.

Since, the line segment EG , F lies on the line segment;

then, by segment addition postulates we have;

EG = EF + FG

By substitution AB=EF

⇒ EG = AB + FG                     hence proved!

Since, in the fourth statement reason is:  It is an argument

3 0
2 years ago
After triangle ace is dilated by a factor of 5, it has an area of 100 square inches. What was its area before dilation?
NISA [10]

Answer:

20in^2

Step-by-step explanation:

Since you multiply the original area of the triangle by the scale factor to get the new area, you can find the original area (before dilation) by dividing the dilated triangle's area by the scale factor. Since 100 is the area of the dilated triangle, and 5 is your scale factor, you do 100/5 to get the area of the triangle before it was dilated.

5 0
2 years ago
By coincidence, Kimberly’s Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint
Damm [24]

Answer:

36 liters

Step-by-step explanation:

Yellow paint = 9 liters containers

Blue paint = 12 liters containers

Kimberly’s Paint Supplies sold equal quantities of two paint colors yesterday

What is the smallest amount of each paint color the store must have sold?

Find the Lowest common multiple of 9 liters and 12 liters

9 liters = 18, 27, 36, 45, 54, 63, 72, 81, 90, 99

12 liters = 24, 36, 48, 60, 72, 84, 96, 108

The Lowest common multiple of 9 liters and 12 liters is 36 liters

Therefore, the smallest amount of each paint color the store must have sold to have equal quantities of two paint colors yesterday is 36 liters

7 0
2 years ago
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Ben Spender writes a $60 check which is retumed by his bank with additional charges. The company he wrote the
pshichka [43]

Answer:

$80

Step-by-step explanation:

4 0
2 years ago
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