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3 years ago

15. Solve -2(x+y)=7 for y.

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

7 0

Answer:

(-7-2x)/2

Step-by-step explanation:

-2(x+y)=7

x+y=-7/2

y=(-7/2) -x [ l.c.m is 2]

y=(-7/2)-x×2/2

y=(-7-2x)/2

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Prove that given any three consecutive integers, one of them is divisible by 3. Hint: What are the possible remainders when we d

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Answer:

it is proved that from the any three consecutive integers one of them is divisible by 3.

Step-by-step explanation:

Let the first integer = x

The second consecutive integer = x + 1

The third consecutive integer = x + 2

Case 1. take x = 1

The value of first integer = 1

The value of second integer = 1 +1 = 2

The value of third integer = 1 + 2 = 3

Here the third integer is divisible by 3.

Case 2. take x = 2

The value of first integer = 2

The value of second integer = 2 +1 = 3

The value of third integer = 2 + 2 = 4

Here the second integer is divisible by 3.

Case 3. take x = 3

The value of first integer = 3

The value of second integer = 3 +1 = 4

The value of third integer = 3 + 2 = 5

Here the first integer is divisible by 3.

Thus it is proved that from the any three consecutive integers one of them is divisible by 3.

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3 years ago

A pizza has 3,000 calories. If the pizza is cut into 8 slices, how many calories are in 3 slices of pizza?

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Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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A=bh

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If ABCD is a parallelogram, opposite sides are parallel, so AB is parallel to DC. If AB is parallel to DC, EB is parallel to DC. Since EB is parallel to DC, quadrilateral EBCD has at least one pair of parallel sides, making it a trapezoid. The area of a trapezoid is equal to $\frac{h(b_{1}+b_{2}) }{2}$ where h is the height, $b_{1}$ is one base, and $b_{2}$ is the other base. Plug the necessary values into the formula:

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3 years ago