Find the measure of angle b.

Answer:

Step-by-step explanation:

Fraction :x/y

numerator x = y - 2

Now the fraction can be written as: (y-2)/y

3 is added to both denominator and numerator.

After adding 3, the new fraction = [tex]\frac{y-2 +3 }{y + 3 } = \frac{y+ 1 }{y +3}[/tex]

The sum of the new fraction and the original fraction is 53/35

[tex]\frac{y+1}{y+3} + \frac{y-2}{y} = \frac{53}{35}\\\\\frac{(y+1)*y}{(y+3)*y}+\frac{(y-2)*(y+3)}{y(y+3)}=\frac{53}{35}\\\\\frac{y^{2}+y}{y^{2}+3y}+\frac{y^{2}+y-6}{y^{2}+3y}=\frac{53}{35}\\\\\frac{y^{2}+y+y^{2}+y-6}{y^{2}+3y}=\frac{53}{35}\\\\\frac{2y^{2} + 2y - 6}{y^{2}+3y}=\frac{53}{35}\\\\[/tex]

35*(2y² + 2y - 6) = 53 *(y² + 3y)

35*2y² + 2y * 35 - 6*35 = 53 *y² + 53*3y

70y² + 70y -  210 = 53y² + 159y

70y² + 70y -  210 - 53y² - 159y = 0

70y² - 53y² + 70y - 159y - 210 = 0

          17y²  - 89y - 210 = 0

Answer:

17y^2 - 89y - 210 = 0

Step-by-step explanation:

Original fraction: x/y

The numerator is 2 les than the denominator, x = y - 2

Original fraction: (y - 2)/y

New fraction:

Add 3 to the numerator and denominator of the original fraction:

(y - 2 + 3)/(y + 3) = (y + 1)/(y + 3)

Add the new fraction and old fraction and get 53/35.

(y - 2)/y + (y + 1)/(y + 3) = 53/35

35y(y + 3)[(y - 2)/y] + 35y(y + 3)[(y + 1)/(y + 3)] = 35y(y + 3)(53/35)

35(y + 3)(y - 2) + 35y(y + 1) = 53(y^2 + 3y)

35(y^2 + y - 6) + 35(y^2 + y) = 53y^2 + 159y

17y^2 - 89y - 210 = 0

Answer:

135

Step-by-step explanation:

3^3 = 27

27 x 10 / 2

270/2

135

Answer:

D

Step-by-step explanation:

Parallel lines must have the same slope. They could have points in common. If the y-intercepts were the same, taking into consideration the fact that the slopes have to be the same, it would be the same line and as the question directs, they are not. Parallel lines can have negative slope, as long as their slopes are equal.

Answer:

we need to add a²=6² to both sides of [tex]x^2+12x+6^2=-100+6^2[/tex]  in order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex].

Step-by-step explanation:

Given the equation

[tex]-3x^2-36x=300[/tex]

First of all, we need to divide both sides by -3 to simplify it

i.e.

[tex]\frac{-3x^2-36x}{-3}=\frac{300}{-3}[/tex]

[tex]x^2+12x=-100[/tex]

In order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex], we need to add a²=6² to both sides

[tex]x^2+12x+6^2=-100+6^2[/tex]

so

[tex]\left(x+6\right)^2=-64[/tex]

Therefore, we need to add a²=6² to both sides of [tex]x^2+12x+6^2=-100+6^2[/tex]  in order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex].

Answer:

x=-1

Step-by-step explanation:

9(x+2) = 5 - 2(x - 1)

9x+18 = 5-2x+2

9x+18 = -2x+7

+2x = +2x +7

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

11x+18 = 7

-18 = -18

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

11x = -11

÷11 = ÷11

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

x = -1

Answer:

x = -1

Step-by-step explanation:

9(x+2) = 5 - 2(x-1)

9(x+2) = 5 - 2(x - 1)

9x+18 = 5-2x+2

9x+18 = -2x+7

+2x        +2x

11x + 18 = 7

      -7     -7

11x + 11 = 0

    -11      -11

11x = -11

x = -1  

Answer:

it is 1

Step-by-step explanation:

Answer:

The answer is -1

Step-by-step explanation:

You find the absolute value of -24 which is 24

Then you multiply 4x(-6) to get -24

24 ÷ -24 = -1

Answer:

We can rearrange the interest formula

Answer:

I think 4

Step-by-step explanation:

-3+7=4

Answer:

4 yards

Step-by-step explanation:

Lose 3 yards then gain 7 yards is the same as -3 + 7.   -3 + 7 = 4

Answer:

B

Step-by-step explanation:

Answer:

B is the correct conditional statement, since all acute angles are less than 90 degrees.

Answer:

in point slope form the answer is y-10 = -5/3x + 35/3

in slope intercept form the answer is y = -5/3x + 21 2/3

not sure which form you need to answer in

Answer: The answer is B. (1/3)x+1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

AB ⊥ CD

[tex]m_{CD}[/tex] = - [tex]\frac{1}{m_{AB} }[/tex]

~~~~~~~~~~~~~~~

Slope of given line is m = [tex]\frac{1}{3}[/tex]

Slope of a perpendicular line is ( - 3 )

y = - 3x + 1

175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If v is the amount of the 70% solution that you use, then that amount contains 0.7v mL of alcohol.

Mixing these two yields a total volume of 175 mL + v, and it contains 43.75 mL + 0.7v alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:

(43.75 mL + 0.7v) / (175 mL + v) = 0.45

Solve for v :

43.75 mL + 0.7v = 0.45 (175 mL + v)

43.75 mL + 0.7v = 78.75 mL + 0.45v

0.25v = 35 mL

v = 140 mL

Answer:

99.166666666666666666666; 595/6; 99 1/6; 99

Step-by-step explanation:

THE FORMULA IS (x)/(170)=(35)/(60)

solve for x

copy the formula in bold and paste it to math w]y:

(x)/(170)=(35)/(60)

choose the option to solve for x and 99.666666666666∞ is the answer.

9514 1404 393

Answer:

  (x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)

Step-by-step explanation:

Each figure consists of two small squares and a square that has a side length of 1 more than the figure number. That is, ...

  f(x) = (x +1)^2 +2

You can count the squares in figures 1-3. Figure 4 will be 2 more squares than 5^2 = 25, so will be 27 squares.

  (x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)

Answer: 3x^2 + 7x + 10

Step-by-step explanation:

11/18 = 0.61111111 (continuing)

3/18 = 0.166666 (continuing)

4/18 = 0.222222(continuing)

caramel = 0.2222222 x taffy = 0.6111111111

probability = 0.1358024691358, 0.136.

13.6%

The probability that the first candy selected is caramel and the second candy is taffy is 0.175

Probablity is the likelihood or chance that an event will occur.

Probability = expected/total

If a box has 18 candies in it, the total outcome will be 18

If the probability that the first candy selected is caramel is 4/18

If the probability that the second candy selected is randy is 11/18

Pr(caramel and randy) = 4/18 * 11/18

Pr(caramel and randy) = 2/9* 11/18
Pr(caramel and randy) = 11/63

Hence the probability that the first candy selected is caramel and the second candy is taffy is 0.175

Learn more on probability here: https://brainly.com/question/25870256

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Answer:

d

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Okie?

Step-by-step explanation:

Answer:

1. 0.5 = 5/10 ÷ 5 = 1/2

2. 0.7 = 7/10

3. 0.33 = 33/100 ÷ 33 = 1/3

4. 0.875 = (875/1000) ÷ 125 = 7/8

Answer:

ch coale punoo cancents la de oor qqui soor

Step-by-step explanation:

Answer:

O A. The sum of angle measures is 180°.

Step-by-step explanation:

A linear pair of angles are supplementary.

They must add up to 180°.

Linear pairs also would form a straight angle. A straight angle is 180°.

Hope this helps.

Answer:

1500 divided by 8 = 187.5

Step-by-step explanation:

1,500 divided by 8 is equal to 187, with the remainder of 4.

To divide 1,500 by 8 step by step, we can follow the long division method.

We start by dividing the first digit of the dividend (1) by the divisor (8). Since 1 is smaller than 8, we move to the next digit of the dividend.

We bring down the next digit of the dividend (5) and divide 15 by 8. The quotient is 1, and the remainder is 7.

8 ) 1,500 ( 187R4

    - 8

    _____

     70

   - 64

    _____

      60

    - 56

    _____

        4

Quotient = 187

Remainder = 4

Therefore, 1,500 divided by 8 is equal to 187, with the remainder of 4.

To learn more about the division operation click here :

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Answer:

U should do like this...

The answer is 5, if you still need it.

Answer: 5

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

The speed is:

To find:

Distance = speed * time

Distance is: