A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer’s friend paid for their car. Which of the following is the amount that the friend paid for their car?
$25,000
$46,000
$23,000
$50,000
<p>A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer’s friend paid for their car. Which of the following is the amount that the friend paid for their car?</p>
Correct Answer : A
Let the amount the friend pays be x. Then, 2 times what the friend pays is 2x. Less $2,000 what the friend pays is 2x-2000.
Now we known that
2x-2000=48000
Add 2000 to both sides of the equation
2x-2000+2000=48000+2000
2x+2000-2000=50000
2x=50000
Divide both sides by 2
X=25000
Thus, the friend pays $25,000 for their car.
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Related Questions
Correct Answer is C
Explanation
Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem.
P- Parenthesis
E-Exponents
D-Divide
M-Multiply
A-Add
S-Subtract
From the given equation start with solving
12 ÷3*4-1+23
Next, carry out division 12÷3=4
4*4-1+23
Multiply is 4*4=16
16-1+23
Add or subtract can be conducted in any order. From left to right, we subtract followed by addition
Subtract 16-1=15
15+23
The last step is to add 15+23
15+23=38
Thus, the answer to the given equation is 38.
Correct Answer is D
Explanation
To find the circumference of the flower bed (which is a circle), you use the formula π×diameter\pi \times \text{diameter}π×diameter. With a diameter of 5 feet and using π≈3.14\pi \approx. 3.14π≈3.14, the calculation is 3.14×5=15.73.14 \times 5 = 15.73.14×5=15.7 feet, which is the required length of the barrier.
Correct Answer is B
Explanation
In this case, we are measuring average weight of the babies with time. The weight of the babies will vary with time, meaning when we vary time, the average weight of the babies will be different. Here, time is independent while average weight is dependent variable.
Correct Answer is A
Explanation
Here are the calculations for the gumballs:
- Total Gumballs: 120
- Red Gumballs: 20% of 120 = 24
- Orange Gumballs: 30% of 120 = 36
- Yellow Gumballs: 5% of 120 = 6
- Green Gumballs: 10% of 120 = 12
- Blue Gumballs: 120−(24+36+6+12) =42
Difference
The difference between the number of blue gumballs and yellow gumballs is: 42 − 6=36
Correct Answer is A
Explanation
Based on the context, a synonym for "salient" is important, as it refers to points that are prominent or significant in the presentation.
Correct Answer is B
Explanation
Determine the number of blue and yellow gumballs as follows:
Percent of blue gumballs=100%-(20%+30%+5%+10%) =100%-65%=35%
Number of blue gumballs =35% of 120=0.55*120 = 42 blue gumballs [35%=35/100=0.35]
Number of yellow gumballs=5% of 120=0.05*120 = 6 yellow gumballs [5%=5/100=0.05]
Difference between number of blue and yellow gumballs=42-6= 36 balls
Therefore, there are 36 more blue gumballs than yellow gumballs.
Correct Answer is D
Explanation
Let two number be x and y. Then
Three time a number=3x
Eight times a different number=8y
Sum of the two is 3x+8y
Correct Answer is A
Explanation
Standard interior doors typically range from0.7 to 0.9 metersin width and 2.0 to 2.1 meters in height. Thus, average width of the door way is about 1.0 m.
Correct Answer is A
Explanation
To calculate the average rate of change per month, we first determine the total change in the account balance and then divide that by the number of months over which the change occurred.
The change in the balance from March 15 to August 15 is:
Changeinbalance=1450−1140=310
Now, we calculate the number of months between March 15 and August 15:
Numberofmonths=5months
Next, we find the average rate of change per month:
Averagerateofchangepermonth = = 62
Correct Answer is C
Explanation
Here are the calculations for the medium and large pizzas:
Medium Pizza:
Diameter: 11 inches
Area: ×
×
= 95.03 square inches
Price: $9
Cost per square inch: = 9.47 cents
Large Pizza:
Diameter: 15 inches
Area: ×
×
= 176.71 square inches
Price: $13
Cost per square inch: = 7.36 cents
Cost Difference
The large pizza costs about 2.11 cents less per square inch than the medium pizza.
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