At the science fair, Adriana uses 8 fluid ounces of vinegar to make her volcano erupt. How many times can she make her volcano erupt with 1 quart of vinegar?

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w  

A mathematical expression is a combination of numbers, symbols, and operators that represents a mathematical relationship or calculation. It is written in a way that follows specific rules of mathematical notation, such as using parentheses to indicate the order of operations.

Here we have

Gavin is saving up to buy a new phone.

He already has $100 and can save an additional $7 per week using money from his after-school job

Let us assume that he worked for 'w' weeks  

The amount earned for 'w' weeks = 100 + 7w

Hence, the required expression is 100 + 7w  

The total amount saved in 10 weeks = 100 + 7(10) = $ 170

Therefore,

The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w  

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Answer:

1/3

Step-by-step explanation:

A percentage is a way to describe a part of a whole. The cost of the car is $12,412.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that Wayne's country has a sales tax rate of 5%. The total cost of the car plus tax is $13,032.60. Therefore, the total cost of the car can be written as,

The total cost of the car = Cost of the car + Tax on the car

$13,032.60 = Cost of the car + 5% of the cost of the car

Let the cost of the car be represented by x.

$13,032.60 = x + 5% of the x

$13,032.60 = x + 0.05

$13,032.60 = 1.05x

x = $13,032.60 / 1.05

x = $12,412

Hence, the cost of the car is $12,412.

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Answer:

125%

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.

Hope that helps

Have a good day :)

Step-by-step explanation:

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

B.) 1 and 3; 2 and 4 in the picture are not supplementary.

Supplementary angles refers to the type of angles whose sum is 180°. It is not mandatory for the division of angle to be in half. The angles can be 60° and 120°, 130° and 50°, 90° and 90° and so on.

In the figure, we can see two lines intersect each other. Angle 1 and 2 are present on straight line, and hence, their sum will be 180°. Angle 2 and 3 are present on straight line, and hence, their sum will be 180°. Angle 3 and 4 are present on straight line, and hence, their sum will be 180°. Angle 1 and 4 are present on straight line, and hence, their sum will be 180°.

Angle 2 and 3 and angle 1 and 4 are opposite angles, that are not present on same straight line. Therefore, they are not supplementary angles.

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Answer:

4,-2 that is what it should be

Answer:

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2

Answer:

The slope is 3 and the y-intercept is 7. The equation of the line is 3y - 7.

Step-by-step explanation:

The equation of the line works such that y = mx + b where m is the slope and b is the y-intercept. Thus,

slope = m

         = 3

y-intercept  = b

                   = 7

Answer: x = 29

Step-by-step explanation:

The four angles of a Parallelogram equal to 360. Its name is derived from the fact that its made up of two sets of parallel lines which means that its opposite angles are equivalent. Fortunately, you are given the values for the angles that are not equivalent which means you can create an equation and solve for x.

5x - 23 + 5x - 23 + 2x + 2x = 360

14x - 46 = 360

14x = 406

x = 29

Answer:

What's the "x" in -3x + 17 = -4?

Step-by-step explanation:

What's the "x" igcugxxugutdffifiyfiyfiyfuydutdtuuffufuyfufutyfufufutfuyfufutfuttfuuffufuufugfiyfygugutuyuggiygiyyfiygiufiyfiyfiyin -3x + 17 = -4?

Answer:

x=7

Step-by-step explanation:

-3x + 17 = -4

-3x=-4-17

-3x=-21

x=7

Since  

3

x

2

a

,

3

x

a

2

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

3

x

2

a

,

3

x

a

2

:

1. Find the GCF for the numerical part  

3

,

3

2. Find the GCF for the variable part  

x

2

,

a

1

,

x

1

,

a

2

3. Multiply the values together

Find the common factors for the numerical part:

3

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

List all the factors for  

3

,

3

to find the common factors.

3

:  

1

,

3

3

:  

1

,

3

The common factors for  

3

,

3

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

x

2

,

a

,

x

,

a

2

The factors for  

x

2

are  

x

⋅

x

.

x

⋅

x

The factor for  

a

1

is  

a

itself.

a

The factor for  

x

1

is  

x

itself.

x

The factors for  

a

2

are  

a

⋅

a

.

a

⋅

a

List all the factors for  

x

2

,

a

1

,

x

1

,

a

2

to find the common factors.

x

2

=

x

⋅

x

a

1

=

a

x

1

=

x

a

2

=

a

⋅

a

The common factors for the variables  

x

2

,

a

1

,

x

1

,

a

2

are  

x

⋅

a

.

x

⋅

a

The GCF for the variable part is  

x

a

.

GCF

Variable

=

x

a

Multiply the GCF of the numerical part  

3

and the GCF of the variable part  

x

a

.

3

x

a

Answer: 3xa

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor

Answer:

x=-1/6

I luv u

Answer:

A and c are similar except C is bigger than as so the scaling has gotten higher, so the answer is D

Step-by-step explanation:

a is 45 degrees and b is 45 degrees

Answer:

no

Step-by-step explanation:

I'm just going to take a chance and say 1.A, and 2.D.

Answer:

[tex]z = \frac{q}{2} [/tex]

Step-by-step explanation:

[tex]z \infty q[/tex]

[tex]z = kq[/tex]

[tex]z = 2 \: and \: q = 1[/tex]

[tex]2 = k1[/tex]

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

[tex]z = \frac{1}{2} q[/tex]

[tex]z = \frac{q}{2} [/tex]

9514 1404 393

Answer:

  z = 2q

Step-by-step explanation:

The formula for direct variation is ...

  z = kq . . . . . k is the constant of proportionality

We can find k using the given values of z and q:

  k = z/q = 2/1 = 2

Then the equation connecting z and q is ...

  z = 2q

Answer:

It would be C. I and II

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,

the third quartile is located at the other edge of the rectangular box to your right = 85

Answer:

Given a function y=f(x) its first derivative – the rate of change of y with respect to x – is defined by: dydx=limh→0[f(x+h)−f(x)h]. Finding the derivative of a function by computing this limit is known as differentiation from first principles

and put the formula answer will be there

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{\frac{3}{x+h}-\frac{3}{x} }{h}[/tex]

     = lim( h to 0 ) [tex]\frac{3x-3(x+h)}{hx(x+h)}[/tex]

     = ( lim h to 0 ) [tex]\frac{3x-3x-3h}{hx(x+h)}[/tex]

     = lim( h to 0 ) [tex]\frac{-3h}{hx(x+h)}[/tex] ← cancel h on numerator/ denominator

     = lim( h to 0 ) [tex]\frac{-3}{x(x+h)}[/tex] ← let h go to zero, then

f'(x) = - [tex]\frac{3}{x^2}[/tex]

Answer:

Option C: m=50p is the correct answer.

Step-by-step explanation:

Given that:

Amount received per player = $50

Let,

m represent the amount of money each team is given.

p represent the number of players on the team

Amount of money = Amount received per player * Number of players

m = 50p

Hence,

Option C: m=50p is the correct answer.

Answer:

length- 28 width- 7

Step-by-step explanation:

7 times 4 is 28, so 28 times 2 is 56, 7 times 2 is 14, 56+14 is 70

Answer:

60%

Step-by-step explanation:

40 / 25 - 1 = 60%

Answer:

Step-by-step explanation:

The angle of a line is 180 degrees. A right angle is 90 degrees, and the given angle is 55 degrees. All you have to do is add 90 and 55, and subtract that sum from 180.

Answer:

B. A 100° angle

Step-by-step explanation:

Im pretty sure its an 100 degree angle :)

B.

Answer:

Clustering

Step-by-step explanation:

Data groups that are grouped closely together

Answer:

[tex]x=2,\\x=-2,\\x=\sqrt{3},\\x=-\sqrt{3}[/tex]

Step-by-step explanation:

This is a quadratic in disguise. Let [tex]n=x^2[/tex]. We can rewrite the problem as a quadratic to solve:

[tex]n^2-7n+12=0,\\(n-3)(n-4)=0,\\n=3,\: n=4[/tex].

Now plug in these values of [tex]n[/tex] to solve:

[tex]\begin{cases}x^2=4, \:x=\pm 2\\\\x^2=3, x=\pm\sqrt{3}\end{cases}[/tex].

Therefore, our solutions are [tex]x=\pm 2, \:x=\pm\sqrt{3}[/tex].