Given the following rational numbers, -4.3 and -7.9, describe how the numbers would be positioned relative to each other on a number line.(3 points)
-4.3 would be to the
right of 0
on the number line.
-7.9 would be to the
left of 0
on the number line.
-4.3 is
of -7.9 on the number line.
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-4.3 would be to the left of -7.9 on the number line.
Chandler bought 2 pounds of grapes for $3.99 per pound,
.5 pounds of apples for $1.75 per pound,
and 1.5 pounds of cherries for $4.90 per pound.
How much did Chandler spend altogether? Round your answer to the nearest penny, if necessary.
To find out how much Chandler spent altogether, we need to calculate the cost of each type of fruit separately and then add them up.
Cost of grapes: 2 pounds * $3.99 per pound = $7.98
Cost of apples: 0.5 pounds * $1.75 per pound = $0.875
Cost of cherries: 1.5 pounds * $4.90 per pound = $7.35
Now, we add up the costs of each fruit:
$7.98 + $0.875 + $7.35 = $16.195
Since we need to round the answer to the nearest penny, Chandler spent $16.20 altogether.
Using the greatest common factor, simplify the fraction 160/200
To simplify the fraction 160/200 using the greatest common factor (GCF), we need to find the largest number that evenly divides both 160 and 200.
The prime factorization of 160 is:
160 = 2 * 2 * 2 * 2 * 5 = 2^4 * 5
The prime factorization of 200 is:
200 = 2 * 2 * 2 * 5 * 5 = 2^3 * 5^2
The common factors between 160 and 200 are 2 and 5. The highest power of 2 that appears in both numbers is 2^3, and the highest power of 5 that appears in both numbers is 5. Therefore, the GCF of 160 and 200 is 2^3 * 5 = 40.
To simplify the fraction, we divide both the numerator and the denominator by the GCF (40):
160/200 = (160 ÷ 40) / (200 ÷ 40) = 4/5.
Therefore, the simplified fraction is 4/5.
correct?
Yes, that is correct. The fraction 160/200 simplifies to 4/5 using the greatest common factor.
Jackson and Tyson both work at the same pizza restaurant after school. Jackson works every 3 days and Tyson works every 5 days. If they both work on the same day today, how many more days until they work together again?
To find the number of days until Jackson and Tyson work together again, we need to find the least common multiple (LCM) of 3 and 5.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The multiples of 5 are: 5, 10, 15, 20, 25, 30, ...
From these lists, we can see that the least common multiple of 3 and 5 is 15.
Since Jackson works every 3 days and Tyson works every 5 days, they will both work together again in 15 days.
So, the answer is 15 days.
Rewrite the following numerical expression in an equivalent form using the distributive property: 36 + 54. Select all that apply.(1 point)
Responses
3(12 + 18)
3(12 + 18)
3(12 + 54)
3(12 + 54)
6(6 + 9)
6(6 + 9)
6(6 + 54)
6(6 + 54)
9(4 + 6)
9(4 + 6)
9(4 + 54)