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Nostrana [21]
4 years ago
5

miguel is making smoothies out of yogurt and juice to serve his friends, and he needs to make 12 cups. the ratio of yogurt to ju

ice is 2 cups to 1 cup. how much yogurt will he use
Mathematics
2 answers:
Ganezh [65]4 years ago
5 0
Your answer is 8 cups of yogurt and 4 cups of juice!!!
Nesterboy [21]4 years ago
4 0

Answer:

Eight cups of yogurt will be used.

Step-by-step explanation:

Let cups of yogurt used in 12 cups of smoothies be x

Cups of juice  used in 12 cups of smoothies = 12- x

The ratio of yogurt to juice is 2 cups to 1 cup that is:

\frac{Yogurt}{Juice}=\frac{2}{1}

Ratio will be maintained through out 12 cups of smoothies:

\frac{Yogurt}{Juice}=\frac{2}{1}=\frac{x}{12-x}

2(12-x)=1(x)

24-2x=x

24=3x

x = 8

Eight cups of yogurt will be used.

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Simplify 3[2^3 + (4-2)^3 - (6-2)^2]
Ivahew [28]

Answer:

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Step-by-step explanation:

3(2^3 + (4 - 2)^3 - (6 - 2)^2)

= 3(2^3 + 2^3 - 4^2)

= 3(2.2^3 - (2^2)^2)

= 3(2^4 - 2^4)

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6 0
3 years ago
Can someone help me?
Lapatulllka [165]

Answer:

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Step-by-step explanation:

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5 0
4 years ago
(08.07 HC)
katovenus [111]

Answer:

Below in bold.

Step-by-step explanation:

Part A

At the x-intercepts  f(x) = 0, therefore:

2x^2 - 3x - 5 = 0

(2x - 5)(x + 1) = 0

x = 5/2, -1)

So the x intercepts are (-1, 0) and (5/2, 0).

Part B

The Coefficient  of x^2 is positive ( it is 2) So the graph opens upwards and the vertex will be a minimum.

Convert f(x) to vertex form, by completing the square:

f(x) = 2x^2 - 3x - 5

= 2(x^2 - 3/2x) - 5

= 2[(x - 3/4)^2 - 9/16] - 5

= 2(x - 3/4)^2 -18/16 - 80/16

= 2(x - 3/4)^2 - 49/8

So the coordinates of the vertex are

(3/4, -49/8)  or

(0.75, -6.125) in decimal form.

Part C

To graph f(x) you would first mark the points on the x axis which we found in Part 1 and the vertex found in Part 2. This vertex will be the bottom of the 'U'.

The graph is a parabola shaped roughly like a U, and will be symmetrical about the line x = 0.75 (which passes through the vertex).

You would also plot 2 more points above the x axis so as to get an accurate graph. 1 would be to the left of the line of symmetry and 1 to its right.

Suggest   x = - 2  and calculate f(-2) = 2(-2)^2 - 3(-2) - 5 =  11.

- that is the point (-2,11) and the other would be  x = 4,  f(x) = 15. (4, 15)

Once you have plotted these points draw a smooth u shaped curve through them.

3 0
2 years ago
Solve the equation using square roots x^2+20=4
Rudik [331]

Answer:

Step-by-step explanation:

x^2+20=4 first isolate the variable by subtracting 20 on both sides.

x^2=-16 again isolate the variable but this time you square root both sides.

\sqrt{x}^2=\sqrt{-16 then simplify

x= ±4

5 0
3 years ago
Bethany and Heather ran a mile in gym
Ad libitum [116K]

Answer:

77

Step-by-step explanation:

to start off the "difference" is the way to say total in subtraction

you would have to subtract 87 and 10 to find the difference

87 - 10 = 77

77 is the difference between their times

8 0
4 years ago
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