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VLD [36.1K]
3 years ago
6

Which value from the set {1/2, 2/3, 4/3, 5/2} is a value of x that will the equation 3/4 ÷ × = 9/8 true?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
6 0

Answer:

2/3

Step-by-step explanation:

To find out what x is in this case, divide 3/4 by 9/8.

3/4 / 9/8

Dividing by a fraction is the same as multiplying it's inverse.

3/4 * 8/9

Cross cancellation (3 & 9 (GCF: 3); 4 & 8 (GCF: 4)

1/1 * 2/3

We can remove the 1/1.

2/3

2/3 is the value of x that will make 3/4 ÷ x = 9/8 true.

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A 14.5-gallon gasoline tank is full. How many gallons will it take to fill the tank? Write your answer as a mixed number.
Elena L [17]

Answer:

it will take 3 5/8 of gas to fill the tank

Step-by-step explanation:

14 1/2 - 10 7/8 can be re-written using improper fractions

29/2 - 87/8 We need a common denominator, which is 8

116/8 - 87/8 = 29/8 = 3 5/8 gal

7 0
2 years ago
What are the solutions to the system of equations? y=− x 2 +5x+6 −6x+y=6
Komok [63]

Answer:

option B

(−1, 0) and (0, 6)

Step-by-step explanation:

Given in the question two equations,

Equation 1

y =−x² + 5x + 6

Equation 2

−6x + y = 6

plug value of y in second equation

−6x −x² + 5x + 6 = 6

-x² -6x + 5x +6 - 6 = 0

-x² - x + 0 = 0

-x² -x = 0

-x(x+1) = 0

x = 0

and

x = -1

plug value of x in second equation to find y

x = 0

−6(0) + y = 6

 0 + y = 6

 y = 6

 and

x = -1

−6(-1) + y = 6

6 + y = 6

y = 0

8 0
2 years ago
Read 2 more answers
A car traveled 130 miles in 2 hours <br> how fast did the car travel
Katen [24]

Answer:

65 miles per hour

Step-by-step explanation:

130/2=65/1=65 miles per hour

6 0
2 years ago
Read 2 more answers
Order of Operations
Rzqust [24]

Answer:

answers are 3 and 62

Step-by-step explanation:

the answers were give above. If further instruction needed lmk :)

8 0
2 years ago
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
Nastasia [14]
The answer is 5 cents because if the bat is a dollar more, then it the bat would be $1.05, and 0.05 + 1.05 = $1.10

you could also use the equation x + (x + 1) = 1.10 where x is the cost if the ball and x + 1 is the cost of the bat. x + x + 1 is the same as 2x + 1 = 1.10, and when solved x = 0.05.
7 0
2 years ago
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