solve the proportion

Answer:

a/b = c/d

a*d = b*c

Ex:

a/2 = 2/4

4a = 4

a = 1

1/2 = 2/4

Answer:

(x-4)(x-4)

Step-by-step explanation:

Because the factors of 16 that add up to -8 can be -4 and -4.
Let's plug it in...
16 - 32 + 16 = 0

It works!!!

ANswer is (x-4)(x-4)

Answer: (x-1)(x+4)

the answer

The size of the scalene triangle would be larger or smaller

Answer:

slope: -3

y-intercept: -2

equation: -3x-2

y intercept is the value of y at x=0

slope is how many units the graph moves per x

equation is (slope)x+(y-intercept)

[tex]y+9-x =[/tex]

[tex]x=1 \\ y=3[/tex]

[tex]3 +9 -1=11[/tex]

Answer:

y+9-x = 3+9-1 which would end up equaling: 11

9-1=8+3=11

Answer:

508?

Step-by-step explanation:

what is this factor? simplify?...etc

Answer:

26

Step-by-step explanation:

Angles that form a linear pair are supplementary, and thus have measures that add to 180 degrees.

4x+3+2x+21=180

6x+24=180

6x=156

x=26

Answer:

200

Step-by-step explanation:

20% is one fifth and therefore 40 is also 1/5 of the number. I then do 40 times 5 to get 200

Answer:

200

Step-by-step explanation:

40 is 20% of 200 because 40/.20=200
20% of 200 is 40 because 200x0.20

it would help to set up proportions like:

40    20

/    =  

x      100

and cross multiply and divide.

The measures of the x is 6.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Given : one angle= 6x-6 and another angle = 54

Using angle sum property, we have

6x-6 + 54 + 90 = 180

6x=180-144

6c= 36

x=36/6

x=6

Thus, value of x is 6.

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Answer:

The standard form of the number will be written as 63 158

The correct answer is option A. Which is the solution of the given equation will be (15,15).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are solved as:-

a - 1.2b = -3 or a = -3 + 1.2b

0.2a + 0.6b = 12

Put the value of a from equation 1 to the equation second.

0.2 ( -3 + 1.2 b)  + 0.6b = 12

-0.6 + 0.24b + 0.6b = 12

0.84b = 12  + 0.6

0.84 b = 12.06

b  = 15

Put the value of b in the first equation to find the value of a.

a = 1.2b - 3

a = (1.2 x 15) - 3

a = 15

Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).

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The amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively

The equation is given as:

y =1.5x + 5

For a 17-pound goat, we have:

x = 17

This gives

y =1.5 * 17 + 5

y = 30.5

For a 55-pound goat, we have:

x = 55

This gives

y = 1.5 * 55 + 5

y = 87.5

Hence, the amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively

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Answer:

C and H

Explanation:

All others are not the same shape, they tend to be pointing in different directions.

Answer:

a c h g f

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

log_3x = 3/2   can be rewritten as

3^1.5 = x

You calculator will give you the simplest answer to this. Look around for a key that looks like ^ or y^x or x^y.

Then you put the base (3) into your calculator and press your y^x key and put in 1.5

Answer:

x = 5.1962

Answer:

-2 =w

Step-by-step explanation:

9(w – 4) – 7w = 5(3w – 2)

The first step is to distribute

9w -36 - 7w = 15w -10

Combine like terms

2w -36 = 15w -10

Subtract 2w from each side

2w -36 -2w = 15w-10-2w

-36 = 13w -10

Add 10 to each side

-36+10 =13w-10+1-

-26 = 13w

Divide by 13

-26/13 =13w/13

-2 =w

Answer:

44

Step-by-step explanation:

16.5 / 3/8 = 44

she will need 44 beads to complete that necklace

Answer: 8

Step-by-step explanation:

To find the diagonal, we need to use two formulas:

Area of a square: [tex]A = s^{2}[/tex] (Area = side * side)

Pythagorean Theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]  

Since  every side of a square is the same:

[tex]a^2 = b^2\\a = b = \sqrt{32} \\a^{2} = 32\\b^2 = 32[/tex]

Our equation:

[tex]32 + 32 = c^2\\64 = c^2\\8 = c[/tex]

The picture below visually explains the problem

Hope this helps!

The solution to the equation is y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.

Analysis:

since number of items cannot be negative x and y are real number numbers since y or x can be a decimal so we do not use integers alone.

so  y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.

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Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Comment

There was a flat fee of 10 dollars

Each 1/4 hour brought in 3,75

The total charge was 55 dollars.

Equation

Charge = 10 + 4*3.75*x                     as an hourly rate,

Solution

55 = 10 + 4*3.75x                                Combine

55 = 10 + 15x                                       Subtract 10 from both sides

55-10= 10-10 + 15x

45 = 15x                                               Divide by 15

45/15 = 15x/15

x = 3 hours

Answer 3 hours  

Answer: 49π or 153.86

Explanation: To find the R, do 14 divide by 2 because since you're not multiplying pi with it. The circumference formula is 2πr
14 / 2 = 7
7 = Radius

Area of a circle is : πr^2
π(7^2)
π49
----------
π49
153.86

Answer:

x = 10

Step-by-step explanation:

If S is between R and T, then RS + ST will be equal to RT.

See image.

Use this idea to write an equation.

2x + 3 + 4x = 63

Combine like terms, Subtract 3, Divide by 6, to solve for x. See image.

Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.

The z-score of a measure X of a normally distributed variable with mean  and standard deviation  is given by:

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 65\ \ \sigma= 3.5[/tex]

The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

[tex]z = \dfrac{54.5-65}{3.5}[/tex]

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.

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The total amount of money spent by Keesha to buy grapes and bananas is equal to $6.38.

Based on the value of the bills and coins which represent the cost of each item, we would determine the total amount of money spent by Keesha to buy grapes and bananas.

For the grapes, we have:

Cost of grapes = 5 + (1 × 0.25) + (2 × 0.1) + 0.05

Cost of grapes = 5 + 0.25 + 0.2 + 0.05

Cost of grapes = $5.5.

For the bananas, we have:

Cost of bananas = (3 × 0.25) + 0.1 + (3 × 0.01)

Cost of bananas = 0.75 + 0.1 + 0.03

Cost of bananas = $0.88.

Total cost = 5.5 + 0.88

Total cost = $6.38.

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Answer:

C

Step-by-step explanation:

The rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet

The function is given as:

d = √216 +h²

At a distance of 100 feet, it means that:

d = 100

So, we have:

√216 +h² = 100

Take the square of both sides

216 +h² = 10000

Subtract 216 from both sides

h²= 9784

Take the square root of both sides

h = 98.9

Hence, the rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet

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Answer:

   [tex]7\frac{1}{6}[/tex]

Step-by-step explanation:

→ Convert all fractions to improper fractions

[tex]\frac{27}{6} +\frac{8}{3}[/tex]

→ Make both of the numerators the same

[tex]\frac{27}{6} +\frac{16}{6}[/tex]

→ Add

[tex]\frac{43}{6}[/tex]

→ Convert to mixed fraction

   [tex]7\frac{1}{6}[/tex]