a 27-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces

Answer:

z=7

Step-by-step explanation:

8(z-5)=16

Divide by 8

8/8(z-5)=16/8

z-5 = 2

Add 5 to each side

z-5+5 = 2+5

z = 7

Answer:

z = 7

Step-by-step explanation:

Expand 8 ( z - 5 ) = 16 first.

8z - 40 = 16

Move 40 to the other side.

8z = 40 + 16

8z = 56

z = 7

Answer:

g(x) = -2|x+1| -3

Step-by-step explanation:

f(x) = |x|

y = f(x) + C C < 0 moves it down

y = |x| -3  for  shifting down 3

y = f(x + C) C > 0 moves it left

y = |x+1| -3 for move it left 1

y = Cf(x)  C > 1 stretches it in the y-direction

y = 2|x+1| -3 to stretch it 2 vertically

y = −f(x)  Reflects it about x-axis

y = -2|x+1| -3

We start off with f(x) = |x|

c < 0 means move down

y = f(x) + c

3 units down

After: y = |x| - 3

c > 0 means move left

y = f(x + c)

1 unit left

After: y = |x + 1| - 3

c > 1 means y direction stretch

y = cf(x)

2 unit stretch

After: y = 2|x + 1| - 3

Reflect across x-axis can be stated as y = -f(x)

After: y = -2|x + 1| - 3

Best of Luck!

4+5

134_75

56.4+6

68/8.7_2+1

Answer:68%

Step-by-step explanation:0.68*100

Answer: 68%

Step-by-step explanation: We can change a decimal to a percent

by moving the decimal point two places to the right.

So in this problem, to change 0.68 to a percent,

we move the decimal point two places to the right.

So we have 68%.

So 0.68 can be written as 68%.

angle BGC and angle BAD

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

100/5 = 20 liters per minute

For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

its B sorry if Im wrong have a nice day

Answer:

Please see the attached picture for full solution.

Answer: (2x - 5) • (4x - 1)

STEP 1 : Equation at the end of step 1

(23x2 - 22x) + 5

STEP 2 : Trying to factor by splitting the middle term

2.1 Factoring 8x2-22x+5

The first term is, 8x2 its coefficient is 8 .

The middle term is, -22x its coefficient is -22 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40

Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .

-40 + -1 = -41

-20 + -2 = -22 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2

8x2 - 20x - 2x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (2x-5)

Add up the last 2 terms, pulling out common factors :

1 • (2x-5)

Step-5 : Add up the four terms of step 4 :

(4x-1) • (2x-5)

Which is the desired factorization

Final result : (2x - 5) • (4x - 1)

Answer:

add 1;6 and 6,2 hope this helps ;)

 From the given options, Option (C) shows the type of compound interest earned.

  Formula for the compound interest earned continuously is given by,

[tex]A=P.e^{rt}[/tex]

Here, [tex]A=[/tex] Final amount

[tex]P=[/tex] Principal amount

[tex]r=[/tex] rate of interest

[tex]t=[/tex] Time

  Therefore, Option (C) will be the correct option.

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Answer:

no

Step-by-step explanation:

u can cut the trapesoid in half and make it into a rectangle then get ur answer

Answer:

$100

Step-by-step explanation:

Answer:

$100

Step-by-step explanation:

She will earn $100 because since 20 is just 10 times 2, she will earn half as much as she did in 20 hours. 200/2 is 100.

Answer:

Luke = 0.75

Owen = 0.04

Jacob = 2.9

Step-by-step explanation:

A model = 100 small squares

100 small squares = 1

Luke shades three fourths of one model.

Luke = 3/4 of 1 model

= 3/4 × 1

= 0.75

Owen shades four small squares of one model.

Owen = 4/100

= 0.04

Jacob shades two full models and nine tenths of another model

Jacob = 2 + 9/10

= 2 + 0.9

= 2.9

Luke = 0.75

Owen = 0.04

Jacob = 2.9

Answer:

16 /7

Step-by-step explanation:

multiply both sides by -8 then simplify

Answer:

The vertex will be at ( -1,-2)

Step-by-step explanation:

g(x) = |x + 1| - 2.

The vertex of g(x) = |x |  is ( 0,0)

y = f(x) + C C < 0 moves it down  

y = f(x + C) C > 0 moves it left

We shift this  to the left 1 unit and down 2 units

( 0 -1, 0-2)

The vertex will be at ( -1,-2)

Given: g(x) = |x + 1| - 2.

We start at g(x) = |x| at (0, 0)

c < 0 moves it down

y = f(x) + c

2 units down

c > 0 moves it left

y = f(x + c)

1 unit to the left

After the shift, we see the vertex being at (-1, -2).

Best of Luck!

145 is the answer bruh i cant type

Answer:

Step-by-step explanation:

9/100 i believe as you would multiply 3/10 by 3/10 due to the fact the marble is being replaced so the probability of getting a red marble the second time will be more unlikely. If I'm right please thank me or give me brainly. Hope this helps :)

The probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of drawing a red marble on the first draw is 3/10, since there are 3 red marbles out of a total of 10 marbles.

Since the first marble is replaced before the second draw, the probability of drawing a red marble on the second draw is also 3/10.

To find the probability of drawing two red marbles in a row, we multiply the probabilities of the individual events, since they are independent:

P(drawing two red marbles) = P(red on first draw) × P(red on second draw)

P(drawing two red marbles) = (3/10) × (3/10)

= 9/100

Therefore, the probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.

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Answer:

X is 24

Step-by-step explanation:

mark me brainliest!!!!

Answer:

y = 2x -12

Step-by-step explanation:

6x – 3y = 36

Subtract 6x from each side

6x-6x – 3y =-6x+ 36

-3y = -6x +36

Divide by -3

-3y/-3 = -6x/-3 +36/-3

y = 2x -12

Answer:

Step-by-step explanation:

let length=l

breadth=b

l×b=660

2(l+b)=104

l+b=104/2=52

b=52-l

l×(52-l)=660

52l-l²=660

l²-52l+660=0

l²-22l-30l+660=0

l(l-22)-30(l-22)=0

(l-22)(l-30)=0

l=22,30

when l=22,b=52-22=30

when l=30,b=52-30=22

l>b

so l=30m

b=22m

Answer:

W = 22 m

L = 30 m

Step-by-step explanation:

given:

area is 660square metre and perimeter is 104metre​

find:

the length and breadth of a rectangular plot

----------------------------------------------------------------

1. area of rectangle (A) = L x W

2. Perimeter of a rectangle (P) = 2L + 2W

where:

A = 660 m²

P = 104 m

solve for L using formula 1.

A = L x W

660 = L x W

L =  660 / W

solve W using formula 2 and use L = 660 / W

P = 2L + 2W

104 = 2 (660)  +  2W

               W

104W = 1320 + 2 W²

-2W² + 104W = 1320

solve W using quadratic equation:

W = 22 m; ( 30 m = L)

plugin W=22 into L =  660 / W to solve L:

L = 660 / 22

L = 30 m

the answer is giga

Step-by-step explanation:

cause giga stands fir 1,000,000,000 1 billion

Answer:

giga

Step-by-step explanation:

Answer:

Let me figure it out first then I will give you the answer.

Answer:

6 x 10^5

Step-by-step explanation:

7 x 10^6 is 7,000,000 and 6 x 10^5 is 600,000. The one that is closer is 6 x 10^5

Answer:

C. Carina should have subtracted 3.40 from 5.27

Step-by-step explanation:

I'm just smart like that

--

Brianna Edwards

e d g e n u i t y things

Thanks

-ReMiNdEr: Always vote brainliest

The mistake that Carina made is she should have subtracted 3.40 from 5.27.

 The equation that represents the total amount spent is: $5.27 = $3.40 + $0.85x

In order to determine the value of x, take the following steps:

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