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3 years ago

15

A 222-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.

2 answers:

Tems11 [23]3 years ago

6 0

Is there any options?

Helen [10]3 years ago

6 0

The shorter piece is 37 inches long, use the equation 5x+x=222, solve the shorter piece is 37 inches and the longer piece is 185 inches.

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Which of the following best describes the expression 4 (y+6)

Montano1993 [528]

The answer to 4(y+6) is 4y+24

8 0

3 years ago

Read 2 more answers

105,000,000 written in scientific notation would be:

Natali5045456 [20]

Answer:

1.05 x 10 to the 8th power

Step-by-step explanation:

5 0

3 years ago

1. Find four consecutive even integers such that the sum of the first and third is 6 less than the largest

Sophie [7]

These are indeed quite a lot of exercises, but a lot of them are almost identical - only small computations will change. So, I'm glad to help you with one exercise from every cathegory, but I encourage you to solve the others on your own.

<h2>Exercise 1</h2>

You can call four consecutive integers as

$x,\ x+1,\ x+2,\ x+3$

So, the sum of the first and third is $x+(x+2) = 2x+2$

We want this quantity to be six less than the largest, i.e. $(x+3)-6 = x-3$

So, the equality is

$2x+2 = x-3$

Subtract x from both sides:

$x+2 = -3$

Subtract 2 from both sides:

$x = -5$

So, the consecutive integers are

$-5,\ -4,\ -3,\ -2$

In fact, the sum of the first and third is $-5-3 = -8$ , which is indeed six less than the largest: $-8 = -2-6$

<h2>Exercise 2</h2>

If you call the first odd number $x$ , the next consecutive odd numbers will be $x,\ x+2,\ x+4,\ x+6$

In fact, we have to count skipping two's, because we only want odd integers. From here, you go on like exercise 1: you write the largest (which is x+6), and set it to be two more than the sum of the other three (x, x+2 and x+4)

<h2>Exercise 3</h2>

By the same logic of exercise 2, two consecutive even integers are $x,\ x+2$ , assuming that x is even.

So, you set the equation as usual: the smaller (which is x) is 26 less than three times the larger (which means 3(x+2)-26)

<h2>Exercise 4 to 8</h2>

These are all pretty identical to exercise 1: you start by listing three or four consecutive integers:

$x,\ x+1,\ x+2\quad\text{or}\quad x,\ x+1,\ x+2\ x+3$

and then you translate the request of each exercise accordingly. Remember that expressions like "three times the second number" means that you have to multiply: $3(x+1)$ , while expression like "six more than the first" or "thirteen less than the first" imply adding/subtracting: $x+6$ or $x-13$ .

<h2>Exercise 9</h2>

A multiple of 5 can be written as $5k$ , for some integer k.

So, three consecutive multiples of 5 are

$5k, 5(k+1), 5(k+2) = 5k, 5k+5, 5k+10$

We want these three numbers to have a sum of 75. So, we have

$5k, 5k+5, 5k+10 = 75 \iff 15k+15 = 75 \iff 15k = 60 \iff k = 4$

So, the three numbers are

$5k, 5(k+1), 5(k+2) = 5\cdot 4, 5\cdot 5, 5\cdot 6 = 20, 25, 30$

3 0

3 years ago

X²+x=0<br> x³-25x=0<br> x²=4x<br> 4x²-4x=1

-BARSIC- [3]

Answer:

x²+ x = 0

x ( x +1 ) = 0

x = -1

x³-25x=0

x ( x² - 25 ) = 0

x² = 25

x = 5

x²=4x

x² - 4x = 0

x ( x- 4 ) = 0

x = 4

4x²-4x=1

4x²-4x - 1 = 0

4 x² - 2x - 2x - 1 = 0

2x ( 2x - 1 ) - 1 ( 2x- 1 ) = 0

2x- 1 ) ² = 0

2x = 1

x = 1/ 2

mark me as brainliest

7 0

3 years ago

The table shows linear relashonsips between x and y write an equation in slope intercept form for this relashonsip!!!!!!!!!!!!!!

Alchen [17]

Answer:

$y=-2x+6$

Step-by-step explanation:

Slope-intercept form is given as $y=mx+b$ , where $m$ is slope and $b$ is the y-intercept.

To find the slope of a line that passes through two points $(x_1, x_2)$ and $(y_1, y_2)$ , use the slope formula:

$m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$

Let:

$(x_1, y_1)\implies (1, 4)\\(x_2, y_2)\implies (0, 6)$

The slope of the line that passes through these two points is:

$m=\frac{6-4}{0-1}=\frac{2}{-1}=-2$

Now substitute $m=-2$ and any point to solve for $b$ :

$y=mx+b,\\6=-2(0)+b,\\6=0+b,\\b=6$

Therefore, the slope-intercept form of a line that is represented by the table is $\boxed{y=-2x+6}$

8 0

3 years ago