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iogann1982 [59]
3 years ago
11

Julia swam 3/4 of a mile in the pool.if each lap is 1/16 of a mile,how many laps did she swim.

Mathematics
2 answers:
Hoochie [10]3 years ago
6 0

The answer is twelve.

3/4 x 4 = 12/16

12/16 divided by 1/16 is 12z

lions [1.4K]3 years ago
5 0

The answer is twelve because to Make the two fractions denominators equal you have to multiply the  numerator and denominator by 4 to get the denominators equal which gets you a fraction of 12/16 and if you divide that by 1/16 because that is how long each lap is then you get 16 which is the amount of laps they swam

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Which equation has infinite solutions?
AnnyKZ [126]

The equation that has an infinite number of solutions is 2x + 3 = \frac{1}{2}(4x + 2) + 2

<h3>How to determine the equation?</h3>

An equation that has an infinite number of solutions would be in the form

a = a

This means that both sides of the equation would be the same

Start by simplifying the options

3(x – 1) = x + 2(x + 1) + 1

3x - 3 = x + 3x + 2 + 1

3x - 3 = 4x + 3

Evaluate

x = 6 ----- one solution

x – 4(x + 1) = –3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2

-4 = -2 ---- no solution

2x + 3 = \frac{1}{2}(4x + 2) + 2

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3

Subtract 2x

3 = 3 ---- infinite solution

Hence, the equation that has an infinite number of solutions is 2x + 3 = \frac{1}{2}(4x + 2) + 2

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<u>Complete question</u>

Which equation has infinite solutions?

3(x – 1) = x + 2(x + 1) + 1

x – 4(x + 1) = –3(x + 1) + 1

2x + 3 = \frac{1}{2}(4x + 2) + 2

\frac 13(6x - 3) = 3(x + 1) - x - 2

5 0
2 years ago
Consider isosceles ΔXYZ.
Rom4ik [11]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.

A.) The value of n can be found by equating XY and XZ together,

XY = XZ

9n + 12 = 15n - 6

12 + 6 = 15n - 9n

18 = 6n

n = 3

Hence, the value of n is 3.

The length of different legs of the triangle is,

B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39

C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39

Hence, the length of the legs XY and YZ is equal to 39 units.

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6 0
1 year ago
Maria finishes ¾ of the race in 6 hours. How long was the entire race?
GuDViN [60]

Answer:

We are asked to find the duration of entire race. As Rachel finished of the race in 6 hours, so of x will be equal to 6. Therefore, the duration of entire race was 8 hours.

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6 0
3 years ago
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jekas [21]
Y=1/3[-3]-2 I think is the answer
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3 years ago
the length of a pool 2 km long is represented on a map with a length of 20cm. what is the map scale used?​
goldenfox [79]

Answer:

The scale used is 1: 10,000 cm.

Step-by-step explanation:

Given that the length of a pool 2 km long is represented on a map with a length of 20cm, to determine what is the map scale used the following calculation must be performed:

2 km = 2,000 m

1m = 100cm

2,000 x 100 = 200,000

20: 200,000

10: 100,000

1: 10,000

Thus, the scale used is 1: 10,000 cm.

4 0
3 years ago
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