What value of x makes this equation true? 2x + 3 = 9

Answer:

20ft.

Step-by-step explanation:

Sine = Opposite / Hypothenuse

Opposite = Height = 10ft

Hypothenuse = Length of ladder

Therefore, sin30° = 10ft / Length = 1/2

Length = 20ft

The {x} coordinate of the solution to the following system of equations is - 1.

Given is the system of equations as -

x − y = − 3

x + 3y = 5

We can write -

x - y = - 3

y = x + 3

So, we can write -

x + 3(x + 3) = 5

x + 3x + 9 = 5

4x = - 4

x = - 1

Therefore, the {x} coordinate of the solution to the following system of equations is - 1.

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Answer:

x= 17/15

Step-by-step explanation:

−1/2 x- 1/4 (10x−9)=−( -7/4 x+2)−x

Answer:

1) 8

2) 6

3) 7

4) 0

5) 5

6) 1

7) 3

8) 2

9) -14

10) 12

11) -9

12) -6

13) -11

14) 1

15) -6

16) -12

17) -1/2

18) 9/11

19) 7/13

20) 9/7

21) -5/13

22) -13/25

Step-by-step explanation:

[tex]\bf Step-by-step~explanation:[/tex]

If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.

[tex]\bf Step~1:[/tex]

Divide the number of candy bars (34), by the number each box can hold (5)

[tex]\bf\frac{34}{5}=6.8[/tex]

Since we cannot have 6.8 boxes, we have to round down to 6.

[tex]\boxed{\bf Our~final~answer:~6~boxes}[/tex]

[tex]\bf Check~our~answer:[/tex]

To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!

Answer:

the answers is 6x 10 4

Step-by-step explanation:

The expression 6 x 10 x 10 x 10 x 10 with an exponent would be written as 6(10^4).

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

We have been given an expression as

6 x 10 x 10 x 10 x 10

Here we can see the base 10 multiplied by itself 4 times.

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]

The expression 6 x 10 x 10 x 10 x 10 with an exponent would be written as 6(10^4).

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Answer:

The independent quantity in the situation is the length of the diameter.

Step-by-step explanation:

Consider a relationship between two variables.

Of the two variables one variable is dependent upon the other.

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variable values are changed.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.

In this case, it is provided that Grissom knows there is a relationship between the volume of the sphere and the length of its diameter.

With every sphere that Grissom draws, the volume of the sphere changes according to its diameter length.

That is the volume of the sphere depends upon the length of its diameter.

Thus, the independent quantity in the situation is the length of the diameter.

Answer:

Yes

Step-by-step explanation:

Figure B is doubled in size

Answer:

Yes

Step-by-step explanation:

Because every length of each of the shape is just doubled:

Bottom of figure A=4

Bottom of figure B=8

Right Side of figure A=2

Right Side of figure B=4

Left Side of figure A=2

Left Side of figure B=4

Top of figure A=3

Top of figure B=6

Answer:

Step-by-step explanation:

A = 1/2(b+h)

×2      ×2

2A = b + h

- h       - h

2A - h = b

b = 2A - h

Answer:

it is a rational number, a integer, and a real number. It is NOT a whole number

Step-by-step explanation:

Answer:

It is not a whole number when compared to other answers.

Answer:

Here the value is similar to the value of pi ([tex]\pi[/tex])

Step-by-step explanation:

22 / 7 = [tex]\pi[/tex]

22 / 7 = 3.14159

So it is based on a multiple on the divisor 7

Answer:

Step-by-step explanation:

Yes it is a quadratic equation

5x^2 + 40x = -7

5x^2 + 40x + 7 = 0

a = 5

b = 40

c = 7

-40/10 + (sqrt(1600 - 4(5)(7)))/10

-4 + (sqrt(1600-160))/10

-4 + (sqrt(1440))/10

-4 + 12(sqrt(10))/10

-4 + 6/5(sqrt(10))

Answer:

5/6

Step-by-step explanation:

It might make the problem easier to understand if we were to rewrite it as:

  2

 ----

   3

======

   4

  ----

     5

In this expression, we're dividing by a fraction, the fraction 4/5.  We can get the same result by inverting this divisor fraction, 4/5, and then multiplying 2/3 by 5/4:

 5       2

----- * -----

  4       3

This reduces to

 5       1

----- * ----- = 5/6

 2       3

Answer:

17

Step-by-step explanation:

subtract 9 from 26 and you should get the answer

Answer:

<TGE

Step-by-step explanation:

it must connect

Answer:

D; 3-thirds

Step-by-step explanation:

Here is a probability question.

Firstly, we need to understand that the probability of any event is between 0 and 1; it cannot be negative and cannot be more than 1.

So the probability we want to calculate here is simply the probability of drawing a yellow pencil.

The way to go about this is by dividing the number of yellow pencils by the total number of pencils

Mathematically;

Probability of bringing out a yellow pencil= Number of yellow Pencils/ Total number of pencils

From the question, we are told that the number of pencils = number of yellow pencils = 3

Thus the probability will be 3/3 = 1

This cannot be found in the options right?

1 is the same as 3-thirds meaning 3 * 1/3 = 1

Answer:

A. 7 and 3

&

B. 1 and 5

Step-by-step explanation:

Corresponding angles are a pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

The answers are:

•8 and 4

•5 and 1

•7 and 3

•6 and 2

I hope this helps! I'm sorry if it's wrong.

Answer:

the volume of the right cylinder is 1.8 times the volume of the pyramid

Step-by-step explanation:

The volume of a pyramid is

[tex]V = \dfrac{1}{3} \times B\times H[/tex]

where the height of the pyramid is 5

[tex]V = \dfrac{1}{3} \times B\times 5[/tex]

[tex]V = \dfrac{5}{3} B \ units ^3[/tex]

On the other hand, the volume of a right cylinder is

V = BH

where the height of the right cylinder = 3 units

V = 3 B units³

Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:

[tex]\dfrac{V_p}{V_c}= \dfrac{\dfrac{5}{3}B}{3B}[/tex]

[tex]\dfrac{V_p}{V_c}= \dfrac{5}{9}[/tex]

[tex]9 V_p = 5 V_c[/tex]

[tex]V_c = 1.8 \ V_p[/tex]

Hence, the volume of the right cylinder is 1.8 times the volume of the pyramid

Answer:

14,300

Step-by-step explanation:

Answer:

B. 36 root7 = area of the rectangle

Answer:

D

Step-by-step explanation:

Given

[tex]\frac{1}{4}[/tex] (2x + 8) = - 16

Multiply both sides by 4 to clear the fraction

2x + 8 = - 64 ( subtract 8 from both sides )

2x = - 72 ( divide both sides by 2 )

x = - 36

Answer:

Step-by-step explanation:

First multiply through by 4

That's

Subtract 8 from both sides

We have

Divide both sides by 2

That's

We have the final answer as

Hope this helps you

Answer:

$37.84

Explanation:

We need to see what to multiply $40.47 by to find the price of the stock from the beginning. First, we need to subtract 100% by the percentage of gain.

100% - 6.5% = 93.5%

Next, we need to divide 93.5% by 100.

93.5% ÷ 100 = 0.935

Lastly, we multiply $40.47 by 0.935 and round it to the nearest hundredth.

40.47 × 0.935 = 37.83945 --> 37.84

Hope this helped!

$37.84

So we know that we need to see what to multiply $40.47 by to find the price of the stock from the beginning.

First, we need to subtract 100% by the percentage of gain.

100% - 6.5% = 93.5%

Next, we need to divide 93.5% by 100.

93.5% ÷ 100 = 0.935

Lastly, we multiply $40.47 by 0.935 and round it to the nearest hundredth.

40.47 × 0.935 = 37.83945 --> 37.84

Fianl result: $37.84

Answer:

16 = n/12

Step-by-step explanation:

16 = n/12

Answer: -8

Step-by-step explanation:

6+ -8 = -2

Answer:

270 miles

Step-by-step explanation:

if 1 gallon = 18 miles

then 15 gallons = x miles

cross multiply

1 × x = 15×18miles

x = 270 miles

so it travels 270 miles on 15 gallons of gasoline

Answer:

13.5

Step-by-step explanation:

3 cups for 24 muffins

x cups for 108 muffins

x=(108*3)/24

x=13.5

Step-by-step explanation:

We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.

Step 1

Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.

Step 2

The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.

[tex]150 / 20=7.5[/tex]

Our final answer: l = 7.5 feet

We can check our answer by multiplying all the numbers together.

4 * 5* 7.5 = 150

Answer: Unit Rate= 75 they are on the graph because  that is where the unit rate starts. In the context they mean the rent goes up by $75.

Step-by-step explanation: I hope this helps im still a little confused myself, if it doesnt help im sorry.