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77julia77 [94]
2 years ago
11

Mike poors 12/8 cups of orange juice into serving glasses each glass holds 3/4 cups how many glasses can he fill use a common de

nominator to devide
Mathematics
1 answer:
Ratling [72]2 years ago
5 0

The instruction to "use a common denominator to divide" may be counter-intuitive to someone taught to "invert and multiply."

To find the number of glasses, we divide the amount of juice by the glass size. The divisor is the glass size, and we want to have a common divisor with the juice quantity.

We can remove a factor of 2 from the numerator and denominator of the juice quantity to give it a denominator of 4, in common with the glass size.

number of glasses = (quantity of juice) / (glass size)

number of glasses = (6/4 cups)/(3/4 cups)

Factoring (1/4 cups) from numerator and denominator, we have

number of glasses = 6/3

number of glasses = 2

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The Quotient 250 divided by 5/8 tells about how far a sloth may move in one hour How far can a sloth go in 90 minutes?
Hunter-Best [27]

Given condition is:

A sloth moves in one hour = \frac{250}{5/8}

\frac{5}{8}=0.625

So, a sloth moves in one hour = \frac{250}{0.625}=400 units

Hence, in 60 minutes a sloth moves = 400

In 1 minute sloth will move = \frac{400}{60}

In 90 minutes it will  move = \frac{400}{60}\times90=600

The answer is 600 units.

4 0
3 years ago
Read 2 more answers
Two different families pay for entry into a water park.
icang [17]

Answer:

Adult ticket: $7

Child ticket: $2

Step-by-step explanation:

Set up a system of equations where a represents the cost of one adult ticket and c is the cost of one child ticket:

2a + 3c = 20

a + 4c = 15

Solve by elimination by multiplying the bottom equation by -2:

2a + 3c = 20

-2a -8c = -30

Add them together:

-5c = -10

c = 2

Now, we can plug in 2 as c to find the value of a:

2a + 3c = 20

2a + 3(2) = 20

2a + 6 = 20

2a = 14

a = 7

6 0
3 years ago
Dakota is saving money to buy a new ferret cage.In the the first week she saved $24 each week she saves $6 how much money will S
MissTica
$24 x 6 = 144   Minus the $6 she spent per week -$36  = $108

I guess that is what you meant when you typed "she saved $24 each week she saves $6???
3 0
3 years ago
Read 2 more answers
2. Each of the following lines has a slope that can be determined by examining the graph. Use another point
Natali [406]

The slope, y-intercept and the equation of the following graph are as follows:

1(a)

slope : 1

y-intercept: 2

Equation: y = x + 2

(b)

slope : -  1 / 3

y-intercept: - 1

Equation: y = - 1 / 3x - 1

2.

(a)

slope : 3 / 4

y-intercept: 5 / 4

Equation: y = 3 / 4 x + 5 / 4

(b)

slope : - 3 / 2

y-intercept: 1 / 2

Equation: y = - 3 / 2 x + 1 / 2  

<h3 />

<h3>Slope intercept equation</h3>
  • y = mx + b

where

m = slope

b = y-intercept

Therefore lets find the slope, y-intercept and equation of the following graph.

1.

(a)

(0, 2)(1, 3)

m = 3 - 2 / 1 - 0 = 1

b = 2

y = x + 2

(b)

(0, -1)(-3, 0)

m = 0 + 1 / -3 - 0 = - 1 / 3

b = -1

y = - 1 / 3x - 1

2.

(a)

(1, 2)(-3, -1)

m = -1 - 2 / -3 - 1 = 3 / 4

2 = 3 / 4 (1) + b

b = 2 - 3 / 4  = 5 / 4

y = 3 / 4 x + 5 / 4

3.

(b)

(-3, 5)(1, -1)

m = - 1 - 5 / 1 + 3 = - 6 / 4 = - 3 / 2

-1 = - 3 /2 (1) + b

b = -1 + 3 / 2 = 1 /2

y = - 3 / 2 x + 1 / 2  

learn more on y-intercept here: brainly.com/question/2833377?referrer=searchResults

6 0
2 years ago
Pls help this is 7th grade math :(
diamong [38]

Answer:

1.5

Step-by-step explanation:

i seached it up on go ggle

8 0
3 years ago
Read 2 more answers
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