Solve this equation by using the substitution method. Make sure you show ALL your work.

y=x+3
y+4=−6x

Answer:

1 = 130

2 = 50

3 = 130

Step-by-step explanation:

Since we already know that one angle is 50 degrees, this also tells us that angle two is congruent to it because it is opposite to it. Now the two other adjacent angles, basically just do 180-50 to get 130.

Answer:

9x-4 / (x²-4)

Step-by-step explanation:

common denominator is 'x²-4' which is (x-2)(x+2)

the term '7x' already has that denominator but 2/x+2 becomes 2(x-2)/(x²-4)

now you can add 7x to 2(x-2) which is 7x + 2x - 4 or 9x-4 and

your denominator remains as 'x²-4'

Answer:

6/5 miles

Step-by-step explanation:

2 of 1/2 hour makes an hour.

1/2 hour = 3/5 miles

1 hour = 3/5 x 2 = 6/5 miles

Answer:

6/5 mph

Step-by-step explanation:

If she walks 3/5 miles in half an hour, she will walk 6/5 miles in an hour

Answer:

A

Step-by-step explanation:

Answer:

6 rides: 2.50r+24 39

Step-by-step explanation:

6 rides: 2.50r+424 39

Though these segments aren't marked congruent in the diagram, the two lines inside the circle making up the bases of the triangles are congruent as all radii are congruent. So the triangles are congruent by SAS.

Answer:

Y+8=-3(x-6)

Step-by-step explanation:

The student answered 21 questions correctly on a test.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

Since the student made an 85% on a test with 25 questions.

To determine the number of questions the student answered correctly, we need to multiply the number of questions by the percentage of questions answered correctly, which is 85%.

= 25 questions × 0.85

Apply the multiplication operation, and we get

= 21.25

Rounding to the nearest whole number,

= 21 questions

Thus, the student answered 21 questions correctly.

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Answer:

D.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

when you have a multiplication of fractions, the multiplication sign always means "of".

in this example, 3/4 × 2/5 means 3/4 of 2/5.

Answer:

Prism Y

[tex]Height = 12in[/tex]

[tex]Length = 6in[/tex]

[tex]Width = 4in[/tex]

[tex]Volume = 288in^3[/tex]

Prism Z

[tex]Height = 18in[/tex]

[tex]Length =10in[/tex]

[tex]Width = 10in[/tex]

[tex]Volume = 1800in^3[/tex]

[tex]Total = 2088in^3[/tex]

Step-by-step explanation:

Given

See attachment for sculpture

Solving (a) The dimension and volume of Y

From the attachment

[tex]Height = 18 - 6[/tex]

18 in is the height of Z and 6in represents the length (height) of the unoccupied space by Y

So:

[tex]Height = 12in[/tex]

[tex]Length = 16 - 10[/tex]

16 in is the total length of the sculpture and 10 in represents the length of Z

So:

[tex]Length = 6in[/tex]

[tex]Width = 10 - 6[/tex]

10 in is the width of Z and 6in represents the length (width) of the unoccupied space by Y

So:

[tex]Width = 4in[/tex]

Hence, the dimension of Y is:

[tex]Height = 12in[/tex]

[tex]Length = 6in[/tex]

[tex]Width = 4in[/tex]

Volume is then calculated as:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 12in * 6in * 4in[/tex]

[tex]Volume = 288in^3[/tex]

Solving (b) The dimension and volume of Z

As identified in (a), the dimensions of Z are:

[tex]Height = 18in[/tex]

[tex]Length =10in[/tex]

[tex]Width = 10in[/tex]

Volume is then calculated as:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 18in * 10in * 10in[/tex]

[tex]Volume = 1800in^3[/tex]

Solving (c): Total volume of the sculpture.

To do this, we simply add up the volumes of Y and Z.

So, we have:

[tex]Total = 288in^3 + 1800in^3[/tex]

[tex]Total = 2088in^3[/tex]

Answer:

26.25

Step-by-step explanation:

Multiply the Price by the pound.

Answer:

yes probably.

Step-by-step explanation:

Answer:

2 grams

Step-by-step explanation:

One can see that the given diagram is that of a balancing scale, meanig that both sides are equal to each other. Therefore,  if one calls the weight of the triangle (t), then one can form an equation. Keep in mind that it is given that the square weighs (4) grams, and therefore, the square doesn't need a variable representation.

t + 4 + 4 = t + t + t + 4

Simplify,

t + 8 = 3t + 4

Inverse operations,

t + 8 = 3t + 4

   -4          -4

t + 4 = 3t

-t         -t

4 = 2t

/2   /2

2 = t

Answer:

2 grames

Step-by-step explanation:

Answer: x^4

Step-by-step explanation:

1. Rewrite the expression in fraction form:

(3√x²)^6 = x^(2/3)^6

2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

x^(2/3)^6 = x^(12/3) = x^4

Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

Answer:

Find the area of each triangle and then add it up. As you are aware, to find the area of a triangle the equation is B times Height divided by 2.  And to make it easier do the top left triangle and the top right triangle, add them together and then divide that by 2.

Step-by-step explanation:

3 time 5 equals 15 divided by 2 equals 7.5

5 times 8 equals 40 divided by 2 equals 20

7.5 plus 20 equals 27.5

27.5 times 2 equals 55

therefor your answer should be 55m

Answer:

35 meters

Step-by-step explanation:

Since 1cm=10meters, we can do 3.5cm=how many meters?

To get from 1 to 10 we multiply by 10.

So we can do 3.5x10 to get 35 meters.

Hope this helps!

Answer:

8 chocolate bars

Step-by-step explanation:

56 / 7 = 8

( / = divide)

answer:number of cupcakes sold is 13  Number of cookies sold is 27  

Step-by-step explanation:

Let x represent the number of cupcakes that Victor sold.  Let y represent the number of cookies that Jane sold.  Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day,  This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13

An equation is formed when two equal expressions. The number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of cupcakes sold be represented by x, while the number of cookies sold is represented by y.

Now, the total number of cupcakes and cookies sold combined is equal to 68. Therefore, the equation can be written as

x + y = 68

x = 68 - y

Also, Each cupcake sold for $2.25 and each cookie sold for $0.50. And the total sale that Victor made is of $95.25. Therefore, the equation can be written as,

2.25x + 0.50y = 95.25

2.25(68 - y) + 0.5y = 95.25

153 - 2.25y + 0.5y = 95.25

-2.25y + 0.5y = 95.25 - 153

1.75y = 57.75

y = 33

Now, substitute the value of x in the first equation.

x + y = 68

x + 33 = 68

x = 35

Hence, the number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.

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Answer:

Step-by-step explanation:

1

Answer:

1/2

Step-by-step explanation:

To find the slope given two points, use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 5-1)/(2--6)

    = (5-1)/(2+6)

    = 4/8

    = 1/2

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (2, 5)

m = [tex]\frac{5-1}{2+6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

can you show us the table?

Step-by-step explanation:

Answer:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results

The area of a parallelogram is length x height.

The answer would be C. A = 12 • 8

Answer:

x=17!

Step-by-step explanation:

3x+5=5x-29

5=2x-29

34=2x

Therefore x=17!

Answer:

x = 17

Step-by-step explanation:

Lets start evaluating

3x + 5 = 5x - 29

3x + 5 + 29 = 5x

3x + 34 = 5x

34 = 5x - 3x

34 = 2x

x = 34/2

x = 17

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Answer:

To prove:

Expand the square:

Answer:

9,12,4                          9,12,3,1          3,3,4,1

Step-by-step explanation:

Answer:

135degrees

Step-by-step explanation:

Find the diagram attached.

Note that in a cyclic quadrilateral, the sum of the opposite side of the quadrilateral is 180degrres.

According to the diagram shown:

<D+<I = 180

<D+45 = 180

Subtract 45 from both sides

<D+45-45 = 180-45

<D = 180-45

<D= 135°

Hence the measure of <D is 135degrees

Answer: 135

Step-by-step explanation: khan academy

Answer:

Step-by-step explanation:

Given sequence:

We observe this is a GP with the first term of 3 and common ratio of 5.

Equation for the nth term is:

Correct choice is D

Answer: 3

Step-by-step explanation: