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galina1969 [7]
3 years ago
14

What is the scale factor of this dilation?

Mathematics
1 answer:
Luden [163]3 years ago
8 0
The answer is 3/5 because i did the math on my paper and yea
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Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
kap26 [50]

Answer:

4800+183x\geq 8000

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let x be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

\frac{3*6,100}{100} =183

Now we know that she makes $183 per policy sold. Since x is the number of policies sold, 183x is her total commission for selling x policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

4800+183x

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

4800+183x\geq 8000

Let's solve the inequality:

1. Subtract 4800 from both sides

4800-4800+183x\geq 8000-4800

183x\geq 3200

2. Divide both sides by 183

\frac{183x}{183} \geq \frac{3200}{183}

x\geq 17.48

Since she can't sell a fraction of a policy, we must round the result to the next integer:

x\geq 18

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

7 0
3 years ago
Tom has a recipe for punch that calls for 1/2 gallon of fruit drink, how much fruit drink will tom need to make 5/2 batches of t
Hunter-Best [27]

Answer:

Tom will need \dfrac{5}{4} gallons of fruit drink.

Step-by-step explanation:

Hint- This question can be solved by unitary method.

Tom has a recipe for punch that calls for \dfrac{1}{2} gallon of fruit drink.

i.e for 1 batch of the punch Tom needs \dfrac{1}{2} gallon of fruit drink.

For \dfrac{5}{2} batch of the punch Tom needs \dfrac{1}{2}\times \dfrac{5}{2}=\dfrac{5}{4} gallons of fruit drink.

Therefore, Tom will need \dfrac{5}{4} gallons of fruit drink.

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3 years ago
a farmer is trying to determine the proper amounts of two fertilizers for her corn crop. She wants to use a total of 300 pounds
8090 [49]

Answer:

sorry i dont know

Step-by-step explanation:

6 0
3 years ago
53 less than twice jose score using the variable j to represent jose score
Damm [24]

Answer:

2j - 53

Step-by-step explanation:

"53 less than twice jose's score" comes out to 2j - 53.

3 0
3 years ago
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Nine months is what percent of a year
nirvana33 [79]
(9/12)*100
(.75)*100


Ans) 75%
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3 years ago
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