Which of the following expression represents the sum of three times a number and eight times a different number?
8x + 3x
8x + 3y
3x – 8y
3x + 8y
Correct Answer : D
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
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Correct Answer is B
Explanation
To calculate the number of months it will take to pay off the television, we first subtract the down payment from the total cost of the television:
1,570−400=1,170
Now, we divide the remaining balance by the monthly payment amount:
1,170÷100=11.7
Since the consumer cannot make a fraction of a payment, it will take 12 months to pay off the television.
Correct Answer is A
Explanation
Yoghurt : toppings=4:3
Yoghurt: 4.5 oz =4:3
We convert the given ratio into a proportion equation as below
Multiply both sides by 4.5 oz
Correct Answer is D
Explanation
Which of the following is the median of the data set below?
Correct Answer is D
Explanation
The constant of proportionality is the distance traveled divided by gallons of gas consumed
Constant of proportionality=386.4 miles/14 gallons= 27.6 miles per gallon.
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 C
Explanation
C. 17.8 cm.
Explanation
To convert inches to centimeters, we use the conversion factor:
1 inch = 2.54 centimeters.
7 inches×2.54 cm/inch
=17.78 cm
Correct Answer is C
Explanation
We use the relation 1 kg =1000 g to convert 3.193 kg to g
Correct Answer is A
Explanation
A 10% discount on the original price of $950 equals $95 (10% of 950 = 95). Subtracting this discount from the original price, $950 - $95, gives a sale price of $855.
Correct Answer is B
Explanation
The most likely weight of pencil is 25 g, because a pencil is a lighter object which is measured in grams.
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
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