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Elodia [21]
3 years ago
11

Solve the equation for y: x + 2y = 7​

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

y = (7 - x) / 2

Step-by-step explanation:

You isolate the y by subtracting the x

2y = 7 - x

and then you divide by two to get the answer to y

(7 - x) / 2

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Han drinks three gallons of iced tea each day. Each gallon of iced tea contains ¾ cups of sugar. How much sugar does Han drink w
erica [24]

Answer:

3 cups of sugar.

Step-by-step explanation:

Han drinks 3/4 of a cup of sugar each day when she drinks iced tea. She drinks 3 gallons, and each contains 3/4. If each contains only 3/4, we will have to multiply 3/4 by 3 gallons to find our answer to this question.

\frac{3}{4} = 1 \text{-gallon}

So, now we will have to multiply 3/4 by the number 3.

\frac{3}{4} × 3 = \frac{12}{4}

12/4 is equal to 3, so the answer is 3.

7 0
3 years ago
The two objects are the same height, and the cylinder is just wide enough for the the box to fit inside with all 4 vertical edge
OLEGan [10]

Answer:

The answer is below

Step-by-step explanation:

The volume of a box with a length of l, width of w and a height of h is given by the formula:

volume of the box = length * width * height = lwh

The volume of a cylinder with a height of h, and radius r is given by the formula:

volume of the cylinder = π * radius² * height = πr²h

Since the box and the cylinder have the same height and the cylinder is wide enough for the box to be placed inside, this means that the box has a volume greater than that of the cylinder. Hence:

If the box can take 8 cups, the cylinder would be able to take 10 cups.

7 0
3 years ago
Which expression is equivalent to 15a^8b^4/5a^4b?<br> 3a^2b^4<br> 3a^4b^3<br> 10a^4b^3<br> 10a^4b^4
EleoNora [17]

Answer:

3 a^12 b^5

Step-by-step explanation:

Simplify the following:

(15 a^8 b^4 a^4 b)/5

15/5 = (5×3)/5 = 3:

3 a^8 b^4 a^4 b

3 a^8 b^4 a^4 b = 3 a^(8 + 4) b^(4 + 1):

3 a^(8 + 4) b^(4 + 1)

4 + 1 = 5:

3 a^(8 + 4) b^5

8 + 4 = 12:

Answer: 3 a^12 b^5

5 0
4 years ago
What is the sign of the product (3) × (−3) × (−2) × (4)?
Free_Kalibri [48]

Answer:

Positive, because the products (3) × (−3) and (−2) × (4) are negative and the product of two negative numbers is positive.

Step-by-step explanation:

Since 1 * -1 = -1, and -1 * -1 = 1, the product of opposite signs produces negative numbers while the product of same signs produces positive numbers. So the product of 1 * 1 * 1 * -1 = -1, while -1 * -1 * -1 * -1 = 1.

3 0
3 years ago
Which of the following is equal to the opposite of −45?<br><br> −|45|<br> −(−45)<br> −|−45|<br> −45
inessss [21]

Answer:

B

Step-by-step explanation:

It's B because two negatives equal a positive.

C. The absolute value of -45 is 45, leaving the extra negative to hang on in there ---> -|-45|= 45= (bring the negative back over) -45

D. Self explanatory its -45 alone lol.

7 0
3 years ago
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