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3 years ago

The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)

Mathematics

1 answer:

svet-max [94.6K]3 years ago

3 0

Answer:

The smallest integer is -27 and the integers are -27, -26, and -25

Step-by-step explanation:

We can represent this with:

x + x - 1 + x - 2 = -78

Simplify.

3x - 3 = -78

Add 3 to both sides.

3x = -75

Divide both sides by 3.

x = -25

So, the first integer is -25.

Subtract two to get the smallest integer.

-25 - 2 = - 27

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In a basketball game Elena scored twice as many points as Tyler Tyler scores four points fewer than Noah and Noah scores three p

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Full question:

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning

Answer and explanation:

We start from known to unknown. We know that Mai scored 5 points and so we work from here.

Since Mai scored 5 points and Noah scored three times as many points then Noah's score = 3×5= 15 points

Since Tyler scored four points less than Noah, Noah's score= 15-4= 11 points

Finally Elena's score is twice that of Tyler hence Elena's score =2×11= 22 points

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3 years ago

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3 years ago

The surface area (SA) of a cube with a as the length of each of its sides is given by the formula SA=6a^2 If the surface area is

slava [35]

So to rewrite it so that we can find the side, we just need to isolate the a variable.

$SA=6a^2$

So firstly, divide by 6 on both sides of the equation: $\frac{SA}{6} =a^2$

Next, square root each side, and your answer should be $\sqrt{\frac{SA}{6}} =a$

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3 years ago

Read 2 more answers

How many pairs of parallel sides does a trapezoid have? none/ one/ three/ two

telo118 [61]

A trapezoid has two parallel sides, but the top one is shorter than the bottom one

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2 years ago

Maria and Katy each have a piece of string. When they put the two pieces of string together end to end, the total length is 84in

kramer

Maria's piece is 45 inches long

Katy's piece is 39 inches long

Step-by-step explanation:

Maria and Katy each have a piece of string

When they put the two pieces of string together end to end, the total length is 84 inches
Maria’s string is 6 inches longer than Katy’s

We need to find how long is Maria’s piece of string and how long is Katy’s piece of string

Assume that the length of Maria's piece is x inches and the length of Katy's piece is y inches

∵ Maria's piece is x inches

∵ Katy's piece is y inches

∵ The total length of the two pieces is 84 inches

- Add x and y, then equate the sum by 84

∴ x + y = 84 ⇒ (1)

∵ Maria’s string is 6 inches longer than Katy’s

- That means equate x by the sum of y and 6

∴ x = y + 6 ⇒ (2)

Now we have a system of equations to solve it

Substitute x in equation (1) by equation (2)

∴ (y + 6) + y = 84

- Add the like terms in the left hand side

∴ 2y + 6 = 84

- Subtract 6 from both sides

∴ 2y = 78

- Divide both sides by 2

∴ y = 39

- Substitute the value of y in equation (2) to find x

∵ x = 39 + 6

∴ x = 45

Maria's piece is 45 inches long

Katy's piece is 39 inches long

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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3 years ago