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4 years ago

The sum of 3 consecutive integers is -27. what are the numbers?

1 answer:

3 0

Call x the smallest of the three numbers, then:

x + (x+1) +(x+2) = -27

x + x + 1 + x + 2 = -27

3x+3 =-27
3x = -27 -3
3x = -30
x = -30/3 = -10

The three numbers are: -10, -9 and -8.

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Write the recurring decimal 0.5 as a fraction in its simplest form.

sergejj [24]

Answer:

0.5×2/2=1/2 is the required fraction.

8 0

3 years ago

Read 2 more answers

Help with maths question please

mars1129 [50]

<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Substitute -3 into g(x)

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

Solve:

g(x) = -2

Substitute this value into f(x)

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

Solve:

f(-2) = 12

The answer is B. 12

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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6 0

3 years ago

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x

cricket20 [7]

Answer:

The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x + y = 24

3x + 5y = 100

Try elimination.

-3x - 3y = - 72

2y = 28

y = 14

Then x = 10

So, we have 10 3-point problems and 14 5-point problems.

6 0

3 years ago

A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along

Ann [662]

Given:

A right rectangular prism is packed with cubes of side length $\dfrac{1}{5}$ inch.

Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.

To find:

The volume of the prism

Solution:

Side length of each cube $=\dfrac{1}{5}$ inch.

15 cubes along the length, so length of prism is

$l=15\times \dfrac{1}{5}=3\text{ inches}$

6 cubes along the width, so width of prism is

$b=6\times \dfrac{1}{5}=\dfrac{6}{5}\text{ inches}$

5 cubes along the height, so height of prism is

$h=5\times \dfrac{1}{5}=1\text{ inch}$

Now,

Volume of rectangular prism is

$V=l\times b\times h$

$V=3\times \dfrac{6}{5}\times 1$

$V=\dfrac{18}{5}$

$V=\dfrac{3\times 5+3}{5}$

$V=3\dfrac{3}{5}\text{ cubic inches}$

Therefore, the correct option is B.

7 0

3 years ago

Plz help, The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

8_murik_8 [283]

Answer:

The real solutions of f(x)=0 are: 0, 2, 5, 6

Step-by-step explanation:

We are given:

The graph of y = f(x)

We need to find all of the real solutions of f(x) = 0?

By looking at the graph we need to find the values of y when x =0

Looking at the graph, when x=0 we get

0, 2,5 and 6

So, the real solutions of f(x)=0 are: 0, 2, 5, 6

I am attaching the figure, that determines the answers.

8 0

3 years ago