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hichkok12 [17]
3 years ago
11

What fraction makes this division sentence true? 2/3 divided by ? = 4

Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

1/6

Step-by-step explanation:

The opposite of dividing by a fraction is multiplying by the inverse of the fraction. So, to find out what fraction to divide by you need to find what number you need to multiply 2/3 by to get 4.

2/3 x 6 = 4

So if you want to divide instead of multiply, just find the inverse of the number you are multiplying by.

The inverse of 6 is 1/6. Therefore, 2/3 divided by 1/6 equals 4.

(2/3)/(1/6) = 4

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The speed of a car after accelerating for 8 seconds is inversely proportional to its weight. The car weighs 1600 kg and accelera
STatiana [176]

Answer:

With 800 extra kg load: speed = 66.667 km/h

With 2400 extra kg load: speed = 40 km/h

Step-by-step explanation:

Let's call the weight of the car W = 1600 kg, and its speed after accelerating for 8 seconds with this weight S = 100 km/h

If we load the car with 800 extra kg, the total weight will be:

W2 = W + 800 = 2400 kg

The relation between the weights is:

W2 / W = 2400 / 1600 = 1.5

If the weight increased 1.5 times, the relation between the speeds will be 1/1.5 (as they are inversely proportional), so:

S2 / S = 1 / 1.5

S2 = S / 1.5 = 66.667 km/h

If we load the car with 2400 extra kg, the total weight will be:

W3 = W + 2400 = 4000 kg

The relation between the weights is:

W3 / W = 4000 / 1600 = 2.5

If the weight increased 2.5 times, the relation between the speeds will be 1/2.5, so:

S3 / S = 1 / 2.5

S3 = S / 2.5 = 40 km/h

3 0
3 years ago
Read 2 more answers
Solve 2x2 + 5x = 12
Delvig [45]

Answer:

A

Step-by-step explanation:

2x² + 5x = 12

2x² + 5x - 12 = 0

x² + 5x - 24 = 0

factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. the only pair that adds to 5 is 8 and 3

2x² - 3x + 8x - 12 = 0

split the equation and factor

2x² - 3x = 0 ||| 8x - 12 = 0

x(2x - 3) ||| 4(2x - 3)

therefore the pair is (2x - 3)(x + 4)

2x - 3 = 0

2x = 3

x = 3/2

or

x + 4 = 0

x = -4

3 0
2 years ago
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Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y
kolbaska11 [484]

Answer:

y = 5x + 3 is a nonproportional relationship.

Step-by-step explanation:

We need to find the equation that represents a nonproportional relationship.

If y is directly proportional to x, it would mean that,

y ∝ x

y = kx

Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.

Hence, we can say that option (b) represents a nonproportional relationship.

7 0
2 years ago
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One of the greatest assets of a secretary is often his/her ability on the keyboard of a computer. Mrs. Garcia has been recognize
Vilka [71]
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Evaluate 68 x 71 mentally.
mezya [45]

Answer:

4828 = 68 x 71

Step-by-step explanation:

how I looking at it all I did was multiply

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