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Zolol [24]
2 years ago
7

The price of gasoline is $2.27 per gallon and decreases at the rate of $0.03 every two months. Oil costs $0.45 per gallon and in

creases at a rate of $0.05 every six months. How many years will it take for them to be equal in price?
a) 6.5
b)6
c)7
d)5.5

this is on an asvab pretest, i know the answer is 6.5, i dont know how to get to that answer tho and really want to understand how. thank you.
Mathematics
1 answer:
kompoz [17]2 years ago
4 0
You subtract 3 cents and add up how many months it is tiil  it reaches the same ammout as adding 5 cents and adding up six months every time
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Now, solve this problem. 106% of $ _______ = $7.95 
Alex787 [66]

Answer:

7.5

Step-by-step explanation:

106% of $x = $7.95

In other words,

\[\frac{106}{100}\] of $x = 7.95

Multiplying both sides of the equation by \[\frac{100}{106}\]

\[\frac{106}{100} * \frac{100}{106}\] of x = 7.95 * [\frac{100}{106}]

=> x = [\frac{750}{100}]

=> x = [\frac{7.50}{1}]

=> x = 7.5

Validation: 106% of 7.5 = 7.95

4 0
2 years ago
A survey reveals that Z-score for a particular problem is -0.50. Assuming the distribution is normal, what is the value of the r
rusak2 [61]

Answer:

X = 30

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Z = -0.5, \mu = 35, \sigma = 10

Z = \frac{X - \mu}{\sigma}

-0.5 = \frac{X - 35}{10}

X - 35 = -0.5*10

X = 30

4 0
2 years ago
Selena and Ronald are planning to get married at the university where they met and graduated. The university charges $2,000 to s
natta225 [31]

Answer:

100 persons

Step-by-step explanation:

Total amount for marriage = $10000

University charges for wedding ceremony (chairs, tents, red carpet, and flowers) = $2,000 - $150 = $1850

Left amount (after deducting the university charges from total amount)

= $10000 - $1850

= $8150

Now, per person reception cost = $80

Therefore, no. of persons that can attend their wedding = \frac{8150}{80} = 101.875 ≈ 100.

<u><em>Therefore, Selena and Ronald can invite 100 people for their wedding without going over budget. </em></u>

7 0
2 years ago
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use
Ainat [17]

Not sure about the first part but X is 11 because if 14 is congruent to x + 3 then you just do 14-3 which is 11 and then since you figured out x is 11 you just plug that into 11-y and so if it needs to equal 3 then 11-3 = 8. So basically x=11 y=8
3 0
2 years ago
Read 2 more answers
A cell phone plan offers 250 minutes each month for $15.00 per month. What is the cost per minute when a person uses all 250 min
Alex17521 [72]

Answer:

6 cents

Step-by-step explanation:

15/250=.06

15 dollars divided by 250 minutes makes it .06 cents per minute.

3 0
2 years ago
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