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Answer:

  t = (u -v)/2

Step-by-step explanation:

Observe what is done to t:

Undo these operations, starting with the last one and working up the list.

  [tex]u = v+2t \qquad\text{given}\\\\u-v=2t \qquad\text{undo addition by subtracting $v$}\\\\\dfrac{u-v}{2}=t \qquad\text{undo multiplication by dividing by 2}\\\\\boxed{t=\dfrac{u-v}{2}}[/tex]

Answer:

[tex]u = v + 2t \\ u - v = 2t \\ t = \frac{(u - v)}{2} [/tex]

Answer:

Step-by-step explanation:

28 - 25 = 3

Answer:

18π[tex]cm^{2}[/tex]

Step-by-step explanation:

Firstly we will have to find the area of the whole circle so we do....

[tex]A_{circle} =[/tex] π[tex]r^{2}[/tex]

[tex]A_{circle} =[/tex] [tex]9^{2}[/tex]π

[tex]A_{circle} =[/tex] 81π[tex]cm^{2}[/tex]

If we are talking about a whole circle the angels in the middle will be equal to 360°. But in our case we are only talking about 80° out of 360°. In other words we have to find out the area what  [tex]\frac{80}{360}[/tex] (in other words [tex]\frac{2}{9}[/tex] )from the whole area is equal to. So we do....

81π[tex]cm^{2}[/tex] x [tex]\frac{2}{9}[/tex] = 18π[tex]cm^{2}[/tex]

Answer:

angle XYW = -20x + 155

Step-by-step explanation:

angle XYZ = 150

angle WYZ = 20x - 5

angle XYW = y

angle XYZ = 20x - 5 + y

150 = 20x - 5 + y

150 + 5 = 20x + y

y = -20x + 155

So angle XYW = -20x + 155

Answer:

-7x+9

Step-by-step explanation:

All you are doing is distributing the negative

The equation should now be -7x+9 ( a negative times a negative is always positive)

Answer:

line D

Step-by-step explanation:

An undefined slope is when the "run" of a line is zero, the line will be vertical. I hope this helps

Answer:

Step-by-step explanation:

Let the volume of 25% ethanol be x, then volume of 85% ethanol will be (20 - x)

The ethanol content is:

11.67 gallons of 25% ethanol and

20 - 11.67 = 8.33 gallons of 85% ethanol

Answer:A) 2 months

Step-by-step explanation:The base fee is $20.

The monthly rate is $30.

We can represent the number of months with the variable ‘x’.

The equation for this problem would look like this: 20+30x=80l

In words, it would be: base fee + monthly rate*x = $80

A music shop charges a deposit of $20, plus a monthly rate of $30 to rent an instrument. For how many months did Avi rent an instrument. For how many months did Avi rent an instrument if he spent a total of $80

A) 2 months

B) 3 months

C) 4 months

D) 5 months

x⁶

look at the picture

l hope that's help you

Answer:

2

Step-by-step explanation:

Round the divisor to the nearest 10 or 100, depending on how many digits are in the divisor.

Round the dividend to the nearest 10, 100, or 1,000 so that all of the digits, except the first one are zeros.

Divide 600 by 30.

Compare your estimate to the exact answer to determine if the exact answer is reasonable.

Answer:

i think it is

Step-by-step explanation:

B.5 units

Answer:

WHere are the graphs

Step-by-step explanation:

:)

Answer:

The interest is $12

Step-by-step explanation:

You just put the percent in a decimal form(6%-0.06)Then you multiply 200 with 0.06. And the answer you get is the interest

Hope that helps :)

The question is incomplete. Here is the complete question

Matrices C and D are shown below:

[tex]C=\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex]     [tex]D=\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex]

What values of a and b will make the equation CD = I true?

(i) a = 0.5

  b = 0.1

(ii) a = 0.1

    b = 0.5

(iii) a = -0.5

    b = -0.1

Answer: (i) a = 0.5

                  b = 0.1

Step-by-step explanation: Identity Matrix (I) is a n x n square matrix with the number 1 on the main diagonal and 0 everywhere else.

The question asks for multiplication of matrices, i.e.:

[tex]\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex]  .   [tex]\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]

To multiply matrices, the number of columns of the 1st matrix must be the same as the number of rows of the 2nd.

Matrix C is a 3x3 square matrix and so is matrix D, so, values of a and b:

[tex]2a=1[/tex]                           [tex]2b-0.2=0[/tex]

[tex]a=\frac{1}{2}[/tex]                            [tex]2b=0.2[/tex]

a = 0.5                          [tex]b=0.1[/tex]

For the equation CD=I be true, a and b has to be 0.5 and 0.1, respectively.

Answer:

We conclude that using the property of exponents, we need to multiply 10² to get 10⁴.

Step-by-step explanation:

Let 'x' be the number we need to multiply 10² by to get 10⁴.

So the expression becomes

[tex]10^2\:\times\:x\:=\:10^4[/tex]

Divide both sides by 10²

[tex]\frac{10^2x}{10^2}=\frac{10^4}{10^2}[/tex]

[tex]\:x=\frac{10^4}{10^2}[/tex]

Apply the exponent rule:

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

so the expression becomes

[tex]x=\frac{10^4}{10^2}=10^{4-2}[/tex]

          [tex]x=10^2[/tex]

Therefore, we conclude that using the property of exponents, we need to multiply 10² to get 10⁴.

Answer:

I think x might be 2 i don't know...

Step-by-step explanation:

Answer:

you would have 1,194.4

Step-by-step explanation:

i subtracted.

Answer:

The selling price for the shoes will be $68.35

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

2x(5x + 14) + 15

Step-by-step explanation:

Given: (2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2)

(2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2) = 2[tex]x^{2}[/tex](4x + 5) + 3(4x + 5) - 8x([tex]x^{2}[/tex] - 2)

                              = (8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 15) - 8[tex]x^{3}[/tex] + 16x

                              = 8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 15 - 8[tex]x^{3}[/tex] + 16x

collecting like terms to have,

8[tex]x^{3}[/tex]- 8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 16x + 15

10[tex]x^{2}[/tex] + 28x + 15

Thus,

(2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2) = 10[tex]x^{2}[/tex] + 28x + 15

                                           = 2x(5x + 14) + 15

Answer:

the price of the television increased by 25%.

Step-by-step explanation:

Answer:

Step-by-step explanation:        

Answer:

3x + 4 = 21

3x = 17

x = 5.67

Answer:

In its exact form, the answer you will get is 17/3

Step-by-step explanation:

Move all terms that aren't x terms to the right side.

Hope this helps you! Have a nice evening and good luck!

Answer:

192

Step-by-step explanation:

Median

Step-by-step explanation:

Answer: 3/5x+2/5+3/5x= 1.6

Answer:

4 inches of snow has fallen rate per hour

therefore the unit rate is 4 inches of snow per hr.

Step-by-step explanation:

Answer:

4 per hour

Step-by-step explanation:

because 12 divided by 3 is 4

Answer:

He can buy 2857 cars.

Step-by-step explanation:

In order to find the amount he can buy, you need to divide 1,000/.35. This equals 2857.14 but because you cannot buy .14 of a toy car, you round down to 2857 which is the end answer. Hope this helps :)

Answer: 2857 cars

Step-by-step explanation:

Answer:

I did this on a test and got 29.5 points

Step-by-step explanation:

Answer:

4 miles per hour

Step-by-step explanation:

Total miles = 1/2

Time taken = 1/8

Miles per hour = 1/2 ÷ 1/8

= 1/2 × 8/1

= 8/2

= 4 miles per hour

Bryan’s mile per hour = 4

4 miles per hour