Which step shows the result of applying the subtraction property of equality?
(12x+8)+4-3

Given:

Volume of cubical tank = [tex]\dfrac{1000}{125}[/tex] cubic meters.

To find:

The length of a side of the water tank.

Solution:

The volume of a cubical tank is:

[tex]V=a^3[/tex]

Where, a is the side length.

It is given that the volume of cubical tank is [tex]\dfrac{1000}{125}[/tex] cubic meters. So,

[tex]a^3=\dfrac{1000}{125}[/tex]

[tex]a^3=\dfrac{(10)^3}{5^3}[/tex]

Taking cube root on both sides, we get

[tex]a=\dfrac{10}{5}[/tex]

[tex]a=2[/tex]

Therefore, the length of a side of the water tank is 2 meters.

Answer:

5

Step-by-step explanation:

(38 + 6x - 6) ÷ 2 = 7x -4

multiply both sides by 2

(38 + 6x - 6 = 2( 7x - 4)

38 + 6x - 6 = 14x - 8

32 + 6x = 14x - 8

40 = 8x

x = 5

Midsegments are the average of both bases.

Answer:

Point A

Step-by-step explanation:

The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

25.

[tex] \frac{t}{5} = b[/tex]

where b is the no. if 5 dollar bills.

26.

[tex]x +( x + 2) +( x + 4) = x + (x + 2)[/tex]

[tex]3x + 6 + 9 = 2x + 2[/tex]

[tex]3x + 15 = 2x + 2[/tex]

[tex]x + 15 = 2[/tex]

[tex]x = - 13[/tex]

Since x=-13 the intergers are

[tex] - 13[/tex]

[tex] - 11[/tex]

[tex] - 9[/tex]

27.

Represent the function as

[tex]x + x + 6 = 44[/tex]

[tex]2x + 6 = 44[/tex]

[tex]2x = 38[/tex]

[tex]x = 19[/tex]

The shorter piece should be 19 inches.

28.

Solve for h.

[tex]s = 2\pi \times rh + 2\pi {r}^{2} [/tex]

[tex]s - 2\pi {r}^{2} = 2\pi \times rh[/tex]

[tex] \frac{s - 2\pi {r}^{2} }{2\pi \times r} = h[/tex]

29.

[tex] \frac{16 + x}{2} \times 6 = 108[/tex]

[tex] \frac{16 + x}{2} = 18[/tex]

[tex]16 + x = 36[/tex]

[tex]x = 20[/tex]

it's a 90 degree counterclockwise rotation around the origin (0,0).

see the screenshot for illustration

Answer:

B.

Step-by-step explanation:

Answer:

4x² + 3x + 5

Step-by-step explanation:

Given:

- 4x² + 2x - 5(1 + x)

Open parenthesis

= - 4x² + 2x - 5 - 5x

= - 4x² + 2x - 5x - 5

= - 4x² - 3x - 5

Multiply through by -1

= - 1( - 4x² - 3x - 5)

= 4x² + 3x + 5

Write

4 in the first box

3 in the second box

5 in the third box

Answer:

[tex] {y}^{2} = - 2x + 5[/tex]

Step-by-step explanation:

vertex = [tex]( \frac{5}{2} \: ,0)[/tex]

[tex]\displaystyle\bf 1) \ if\ y=152 \Longrightarrow x=30+152=182 \\\\2) \ if \ y =200 \Longrightarrow x=200+30=230\\\\3) \ if \ y=80 \Longrightarrow x=30+80=110\\\\4) \ if \ y=4 \Longrightarrow x=4+30=34 \\\\5)\ if \ y=8 \Longrightarrow x=30+8=38[/tex]

Answer:

(3)11

Step-by-step explanation:

We are given that

[tex](x^2-12x+35)(x^2+10x+24)=504[/tex]

We have to find the sum of positive roots of the equation.

[tex]x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504[/tex]

[tex]x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504[/tex]

[tex]x^4-2x^3-61x^2+62x+840-504=0[/tex]

[tex]x^4-2x^3-61x^2+62x+336=0[/tex]

Factor of 336

2,3,4,6,8,7,

Let x=2

[tex]2^4-2^4-61(2^2)+62(2)+336\neq0[/tex]

x=2 is not the root of equation

x=-2

[tex](-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0[/tex]

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

[tex]3^4-2(3^3)-61(3^2)+62(3)+336=0[/tex]

Therefore, x=3  is the root of equation.

[tex](x+2)(x-3)(x^2-x-56)=0[/tex]

[tex](x+2)(x-3)(x^2-8x+7x-56)=0[/tex]

[tex](x+2)(x-3)(x(x-8)+7(x-8))=0[/tex]

[tex](x+2)(x-3)(x-8)(x+7)=0[/tex]

[tex]x-8=0\implies x=8[/tex]

[tex]x+7=0\implies x=-7[/tex]

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

Given:

Reese read twice as many pages Saturday than she read Sunday.

She read a total of 78 pages over the weekend.

To find:

The number of pages she read on Sunday.

Solution:

Let x be the number of pages she read on Sunday.

Reese read twice as many pages Saturday than she read Sunday. So, the number of pager she read on Saturday is 2x.

Total number of page she read over the weekend is:

[tex]Total=x+2x[/tex]

[tex]Total=3x[/tex]

She read a total of 78 pages over the weekend.

[tex]3x=78[/tex]

[tex]x=\dfrac{78}{3}[/tex]

[tex]x=26[/tex]

Therefore, Reese read 26 pages on Sunday.

Answer:

B

Step-by-step explanation:

mgh=PE

(5)(9.8)(2.5)=pe

122.5j=pe

Answer: Approximately 0.667%

Work Shown:

2/300 = 1/150 = 0.00667 = 0.667%

So less than 1% of the chips are defective.

Answer:

C

Step-by-step explanation:

The vertex is the point where the 2 lines meet on the V shape

The vertex is at (3, 2 ) → C

Answer:

Option c is the answer I think so if the answer is correct plz mark me as brainliest

Answer:

dat I don't know the answer sorry I could not answer u

Answer:

4x + 11 = k

<=> 4x = k - 11

<=>

[tex]x = \frac{k - 11}{4} [/tex]

Answer:

Step-by-step explanation:

[tex]4x + y = 7 \\ y = 7 - 4x[/tex]

Now we know the value of y is 7 - 4x we plug this value to the second equation with y, So,

[tex]3x + 2(7 - 4x) = 9 \\ 3x + (14 - 8x) = 9 \\ - 5x = 9 - 14 \\ - 5x = - 5 \\ x = \frac{ - 5}{ - 5} \\ x = 1[/tex]

Now to find the value of y we use the first equation

[tex]y = 7 - 4x \\ y = 7 - 4(1) \\ y = 7 - 4 \\ y = 3[/tex]

Hope this helps you :)

Answer:

x = 6/5 or 1.2 y = 11/5 or 2.2

Step-by-step explanation:

4x + y = 7

y = -4x + 7

y = 7 - 4x

3x + 2y = 9

3x + 2(7 - 4x) = 9

3x + 14 - 8x = 9

-5× + 15 = 9

-5x = 9 - 15

-5x = -6

x = -6/-5

x = 6/5

4x + y = 7

4(6/5) + y = 7

24/5 + y = 7

y = 7 - 24/5

y = 35/5 - 24/5

y = 11/5

Answer:

[tex] = \frac{18}{100} \times 56 \\ = 10.08 \: dollars[/tex]

Answer:

$10.08

Step-by-step explanation:

To solve for the tip amount, we multiply 56 by 0.18.

56 · 0.18 = 10.08.

Linda tipped $10.08.

Answer:

C.) AA

Step-by-step explanation:

AA is a similarity theorem

hope this helps stay safe :)

Answer:

The answer would be C.

Step-by-step explanation: Hope this helps :)

Answer:

35 miles

Step-by-step explanation:

Total Miles driven at full tank = 230 miles

Miles drive at full tank from Austin to Dallas = 195 miles

How many miles will be left once he arrives in Dallas?

Number of miles remaining at full tank = Total Miles driven at full tank - Miles drive at full tank from Austin to Dallas

= 230 miles - 195 miles

= 35 miles

Answer:

216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.

Step-by-step explanation:

Dado que 4/9 de los adolescentes que confirmaron su asistencia fueron varones, y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron, y 24 que confirmaron su asistencia si participaron, para determinar cuántos adolescentes en total confirmaron su asistencia y cuántos adolescentes varones confirmaron su asistencia se deben realizar los siguientes cálculos:

5/9 x 1/5 = 24

5/45 = 24

1/45 = 4.8

4.8 x 45 = 216

216 / 9 x 5 = 120

216 / 9 x 4 = 96

Por lo tanto, en total 216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.

Answer:

none of them because their is no value of side MN and AC

Answer:

x - 2y + 8 = 0

Step-by-step explanation:

that is the procedure above

Answer:

no tHank you hope someone can help

Step-by-step explanation:

Answer:

Step-by-step explanation:

M is the midpoint. SO length of XM  equals length of MY

MY = XM

9x + 12 = 5x + 8

Subtract 12 from both sides

9x  = 5x  +8 - 12

9x = 5x  - 4

Subtract 5x from both sides

9x - 5x = -4

      4x = -4

Divide both sides by 4

x = -4/4

x = -1

XY = 5x + 8

     = 5*(-1) + 8

     = -5 + 8

XY = 3

MY = 9x + 12

     = 9*(-1)1 + 12

     = -9 + 12

MY = 3

X Y = 3+3

XY = 6

Answer:

Step-by-step explanation:

[tex]5) 5\frac{11}{12}+3\frac{5}{6}=5+\frac{11}{12}+3+\frac{5}{6}\\\\ =8 +\frac{11}{12}+\frac{5*2}{6*2}\\\\= 8 +\frac{11}{12}+\frac{10}{12}\\\\=8 +\frac{11+10}{12}\\\\= 8+\frac{21}{12}\\\\=8+ 1\frac{9}{12}\\\\= 9\frac{9}{12}[/tex]

Answer:

0.33

Step-by-step explanation:

An hour is 60 minutes. 20 goes into 60 three times, so it is 1/3 of an hour or 0.333333333333, etc. As a percent, 20 minutes is 33.33%. Converted to a decimal, it is 0.33 or 1/3 of an hour

Answer:

4.8%

if we assume that the first card is REPLACED (otherwise the formula gets complex)

[tex](\frac{4}{52} )(\frac{32}{52} ) = \frac{8}{169} = .048[/tex]

Step-by-step explanation:

13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

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

Given,

In a deck of 52 playing cards

We need to find the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

n(S) =52

And the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is,

n(E) =13 a set of a diamond suit, because a diamond suit has {A, K ,Q ,J ,2,..,9}

Thus, the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is 13/52 or 1/4 .

Hence, 13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

To learn more on probability click:

https://brainly.com/question/11234923

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Answer: The quotient of 28 and 4 minus the sum of a number and 7

Step-by-step explanation: