12. How many cups are left in a half-gallon carton of orange juice after 3 cups are used?

Mathematics

1 answer:

tia_tia [17]2 years ago

8 0

The number of cups that are left in a half-gallon carton of orange juice after 3 cups are used is 5 cups.

To solve this question, we'll need to convert gallons to cups. This will be:

1 gallon = 16 cups. Therefore, 1/2 gallon will be = 1/2 × 16 = 8 cups.

In this case, we'll then subtract the number of cups that have been used from 8 cups. This will be:

= 8 cups - 3 cups .

= 5 cups.

Therefore, the number of cups that are left after 3 cups are used is 5 cups.

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I need to work out x

frutty [35]

Answer:

9,765 cm

Step-by-step explanation:

We'll solve out the measurements for triangle ABC then it will be easy to figure out x

For triangle ABC, we have

Angle B = 90 degrees.

Angle A (CAB) = 38 degrees (the angle CAD is 19 and is said to be half of CAB, since the line AD is a bisector).

Angle C = 180 - 90 - 38 = 52 degrees.

To find the measurement of the BC line, which we label a, we know that

$\frac{a}{sin(A)} = \frac{c}{sin(c)}$

So, we can isolate the a to get:

$a = \frac{c * sin(A)}{sin(c)} = \frac{25 * sin(38)}{sin(52)} = 19.53$

Now we know the segment BC is 19.53 cm.

And we know that segments CD and DB are equal, since AD is a bisector, cutting the CAB angle in half.

So, CD is half of BC.... so 19.53 / 2 = 9.765 cm

7 0

3 years ago

Write an equation for the line that is parallel to the given line and that passes through the given point. y = –6x + 2; (–1, 2)

kap26 [50]

Parallel=same slope
Y=mx+b
Sub in the slope and point to solve for b
2=-6(-1)+b
2=6+b
2-6=b
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The equation is y=-6x-4; the answer is B
Hope this helps!

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3 years ago

A student has a monthly budget of $800. She can spend her budget on two items, X and Y. Each unit of X costs $20 and each unit o

Aleonysh [2.5K]

Answer:

Check the explanation

Step-by-step explanation:

Total utility is the overall satisfaction that a particular consumer received from consuming a given overall quantity of a good or service, To calculate the value of total utility economists utilize the following basic total utility formula: TU = U1 + MU2 + MU3

Kindly check the attached image below to see the step by step explanation to the question above.