Solve for x in the equation 2/5x = 12


A: -30

B: -4 4/5

C: 4 4/5

D: 30

Answer:

12 inches

Step-by-step explanation:

Volume of cone = (πr²h)/3

Volume of cone= 113.04 cubic inches

π = 3.14 r= 3 inches

113.04 = [(3.14)(3²)(h)]/3

113.04= 9.42h

h=12 inches

Answer:

m∠C = 102°

Step-by-step explanation:

This diagram is a Quadrilateral inscribed in a circle

The first step is to determine what m∠B

is

The sum of opposite angles in an inscribed quadrilateral is equal to 180°

m∠D + m∠B = 180°

m∠B = 180° - m∠D

m∠B = 180° - 80°

m∠B = 100°

Second step is we proceed to determine the exterior angles of the circle

m∠ADC = 2 × m∠B

m∠ADC = 2 × 100°

m∠ADC = 200°

m∠ADC = m∠CD + m∠AD

m∠AD = m∠ADC - m∠CD

m∠AD = 200° - 116°

m∠AD = 84°

The third step is to determine m∠BAD

m∠BAD = m∠AD + m∠AB

m∠BAD = 84° + 120°

m∠BAD = 204°

The final step Is to determine what m∠C is

It is important to note that:

m∠BAD is Opposite m∠C

Hence

m∠C = 1/2 × m∠BAD

m∠C = 1/2 × 204

m∠C = 102°

The Variable d in the equation represents the time per minute Lilianna spends walking to the park

The equation:

d(3/4 + 1) = 12 1/4

d(3+4/4) = 12 1/4

d(7/4) = 49/4

d = 49/4 ÷ 7/4

= 49/4 × 4/7

= 49/7

d = 7

Complete question:

Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?

Learn more about variable:

https://brainly.com/question/11885867

#SPJ1

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

2. A

3. C

4. B

Step-by-step explanation:

2. To answer # 2, just add all the sides together...

(5x-7) + (3x-4) + (2x-6)

=  10x - 17

3. To answer # 3, divide/mulitply both the numerators and denominators by the same number and check to see if that answer matches the displayed answer...

a) 28 divided by 7 is 4,  so divide the whole fraction by 7 to see if the fraction is proportional...  

  28/7 = 4

  49/7 = 7

   [tex]\frac{4}{7} =\frac{4}{7}[/tex]

b) 4 goes into 16  4 times so multiply [tex]\frac{4}{7}[/tex] by 4...

   4 x 4 = 16

   7 x 4 = 28

   [tex]\frac{16}{28}[/tex] =  [tex]\frac{16}{28}[/tex]

c) 4 goes into 16 4 times so multiply the whole fraction by 4...

   4 x 4 = 16

   7 x 4 = 28

   [tex]\frac{16}{28}[/tex] ≠ [tex]\frac{16}{35}[/tex]

d) 4 goes into 20 5 times to multiply the whole fraction by 5...

   4 x 5 = 20

   7 x 5 = 35

   [tex]\frac{20}{35} = \frac{20}{35}[/tex]

C is the answer because the fractions are not proportional.

4) 25% is a quarter of 100%. A third of 100% is 75%.

   $120 - 0.25($120) = $90

   Another expression for the for sale price is...

   B) 0.75($120) = $90

Answer:

It will take 0.75B hours for the return leg

Step-by-step explanation:

Here, given that the first leg of the trip was for B hours at 3 miles per hour , we want to calculate the number of hours the return leg will take at 4 miles per hour given that it is the same distance.

Mathematically, we know that ;

Distance = speed * time

So the distance taken on the first leg of the trip would be;

Distance = 3 miles per hour * B hours = 3B miles

Now, this distance was traveled on the return leg also.

This means that the time taken here will be;

Time on return leg = distance/speed = 3B/4 = 0.75B hours

Answer:34/45

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).

So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is

(f(-2)-f(-9))/(-2--9)

(f(-2)-f(-9))/(7)

Stop!

To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.

To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.

Continue!

(f(-2)-f(-9))/(7)

=(-5-37)/7

=(-42)/7

=-42/7

=-6

Answer:

Step-by-step explanation:

Taxable income = $ 91,307

Tax for $ 17,850 = 10% of 17850 = 0.1*17850 = $ 1785

Tax for $17,850 to $72,500 = 15% of (72,500-17850) = 0.15* 54650 = $ 8197.5

Tax  $72,500 to $91,307 = 25% of (91307-72500)=0.25*18807= $ 4701.75

Total tax = 1785 + 8197.5 + 4701.75 = 14684.25

Total tax = $14684

Answer:

The correct option is;

b. Stem and leaf plot

Step-by-step explanation:

A stem-and-leaf plot shows the data shape and the densities of the different classes in a graphical form such that the information in the data such as the data characteristics are self displayed by the data numbers arranged in the stem-and-leaf plot. The stem-and-leaf plot keeps the raw numerical data, in the form they were obtained and by their arrangement, outliers are easily spotted.

Answer:  b. stem-and-leaf plot

Step-by-step explanation:

hope this helps

We know

[tex]\boxed{\sf Surface\:area=4\pi r^2}[/tex]

[tex]\\ \sf\longmapsto 4\pi r^2=7238[/tex]

[tex]\\ \sf\longmapsto 4\times \dfrac{22}{7}r^2=7238[/tex]

[tex]\\ \sf\longmapsto r^2=\dfrac{7238\times 7}{88}[/tex]

[tex]\\ \sf\longmapsto r^2=\dfrac{5066}{88}[/tex]

[tex]\\ \sf\longmapsto r^2=575.75[/tex]

[tex]\\ \sf\longmapsto r^2\approx576[/tex]

[tex]\\ \sf\longmapsto r\approx\sqrt{576}[/tex]

[tex]\\ \sf\longmapsto r\approx24in[/tex]

Answer:

B. 24 in.

Step-by-step explanation:

The given problem supplies as with the surface area of the beach ball and we are to look for the required radius. Assuming that the beach ball is perfectly shaped in the form of a sphere, then the formula for calculating the surface area of a sphere is given as:

SA = 4 π r^2

where r is the radius of the sphere and SA is the surface area which is given to be 7238 in^2

Rewriting the formula in terms of r:

r^2 = SA / 4 π

r = sqrt (SA / 4 π)

Solving for r:

r = sqrt (7238 in^2 / 4 π)

r = 24 in

Answer:

24 inches

Answer:

b. 25

Step-by-step explanation:

To have an infinite number of solutions, both equations must be equal.

-2x + 5y = 23

-10x + ky = 115

Multiply both sides of the first equation by 5 and write it. Rewrite the second equation below the first equation.

-10x + 25y = 115

-10x + ky = 115

For the equations to be equal, you must have

25y = ky

Divide both sides by y.

k = 25

Answer: b. 25

Answer:

-13a

Step-by-step explanation:

Since -8 and -5 have like variables, you can subtract them. -8-5 is -13, so the answer is -13a.

Answer:

-13a

Step-by-step explanation:

These two numbers are already like terms, so you can subtract it easily.  

First, don't look at the a.

-8-5= -13 because if something is negative and gets subtracted, that means it'll still be negative.

Now that we now it equals -13, we can add the variable a back onto the answer.  We get -13a.  

Answer:

90

Step-by-step explanation:

Tangents drawn to a circle from an external point are equal, thus

IH = IJ = 7

ON = OH = 19 - 7 = 12

MN = ML = 26 - 7 = 19

Summing the 4 sides for perimeter (P)

P = 26 + 19 + 7 + 7 + 12 + 19 = 90

Answer:

Graph D

Step-by-step explanation:

(h)t = -16t^2 + 80

At time t = 0 the screwdriver is at 0+80 =80 ft

As time increases the height will decrease so we can eliminate graph B

We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A

We need to find where it meets the x axis

0 = -16t^2 + 80

-80 = -16t^2

5 = t^2

t = sqrt(5)

t =2.23

This is Graph D

Answer:

The correct option is C.

Step-by-step explanation:

The two patterns are defined as follows:

Form the two patterns as follows:

Pattern A : 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0

Pattern B : 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The first several terms of Patterns A and B are shown by:

Pattern A: 20, 18, 16, 14, 12, 10

Pattern B: 20, 19, 18, 17, 16, 15

Thus, the correct option is C.

Answer:

Step-by-step explanation:

Answer:

By applying intersecting chords angle theorem:-

[tex]m\angle BPD= 106[/tex]° [tex]=1/2(BD+AC)[/tex]

[tex]=1/2(146+66)[/tex]

[tex]=1/2\time(212)[/tex]°

[tex]m\angle BPD=106[/tex]°

Answer:- D) 106°

OAmalOHopeO

This question is solved using proportions, and doing this, it is found that Evan gets 5 Chinese yuans for every Australian dollar.

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

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

75 dollars are worth 375 yuans. How much yuans is a dollar worth?

1 dollar - x yuans

75 dollars - 375 yuans

Applying cross multiplication:

[tex]75x = 375[/tex]

[tex]x = \frac{375}{75}[/tex]

[tex]x = 5[/tex]

Evan gets 5 Chinese yuans for every Australian dollar.

A similar question is given at https://brainly.com/question/23352001

Answer:

The rate charged by first mechanic per hour= x =$85

The rat charged by second mechanic per hour =y = $70

Step-by-step explanation:

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1900. What was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?

Solution

Let

x= hourly rate of the first mechanic

y= hourly rate of the second mechanic

Derive two equations to solve for the two unknowns

10x + 15y = 1900 (1)

x + y = 155 (2)

From (2)

x + y = 155

x=155-y

Substitute x=155-y into (1)

10x + 15y = 1900

10(155-y) + 15y =1900

1550 -10y + 15y =1900

5y =1900-1550

5y=350

Divide both sides by 5

y= 70

Substitute y=70 into (2)

x + y = 155

x + (70) =155

x=155 - 70

= 85

x= 85

The rate charged by first mechanic per hour= x =$85

The rat charged by second mechanic per hour =y = $70

Answer:

see below

Step-by-step explanation:

The sum of the interior angles of any polygon can be found with the formula 180(n - 2) where n = number of sides. In this case, n = 6 so the answer is 180(6 - 2) = 180 * 4 = 720°.

Answer:

The sum of the interior angles of a regular hexagon is 720°

Step-by-step explanation:

As we know that the sum of interior angle is 180(n-2). So the number of sides of hexagon is 6. Now, 180(6-2)=180*4=720°

Answer:

60 ounces.

Step-by-step explanation:

Given:

A mixture contains 5 parts of white paint for every 4 parts of blue paint.

i.e. Ratio of white paint : blue paint = 5 : 4

Quantity of White paint = 75 ounces

To find:

How many ounces of blue paint = ?

Solution:

Here, we are given the ratio of white and blue paint in the mixture.

Also, we are given the quantity of white paint in the paint can.

And we have to find the quantity of other paint in the can.

Let us use all the given statements to find the unknown quantity of blue paint.

Ratio of white paint : blue paint= Ratio of quantity of white paint: blue paint

[tex]\dfrac{5}{4} = \dfrac{75}{\text{Quantity of blue paint}}\\\Rightarrow \text{Quantity of blue paint} = 15 \times 4\\\Rightarrow \text{Quantity of blue paint} = 60\ ounces[/tex]

So, the quantity of blue paint in the can is 60 ounces.

Answer:

16 slices

Step-by-step explanation:

4 apples times 4 slices (as there is 4 slices per apple)

So, 4×4=16

Hope this helps :)

Answer:

8

Step-by-step explanation:

The there smallest consecutive odd numbers are 1,3 and 5

Therefore the smallest possible perimeter of such triangle = 8

The table represents a function because each input (x-value) corresponds to exactly one output (y-value)

If we had repeated x values, then that is a sign we don't have a function. So for instance, if we had the two points (1,5) and (1,6) then we don't have a function because the input x = 1 corresponds to outputs y = 5 and y = 6 simultaneously.

Note: the y values are allowed to repeat and we still have a function, but this function is not one-to-one because of the repeated value y = 2.

Answer:

No idea dude

Step-by-step explanation:

I just need points

Answer:

I think 1/2 is the ans

Step-by-step explanation:

quadratic function equation

would help

Answer:

In short, 0 is the only number such that for any number x, x + 0 = x. ... So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1

Answer:The zero exponent rule states that any term with an exponent of zero is equal to one. This lesson will go into the rule in more detail, explaining how it works and giving some examples. There will also be a quiz to test your knowledge.

The zero exponent rule is one of the rules that will help you simplify exponents. Let's first define some terms as they relate to exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent, or power.

Usually, you'll see this written with the base being a normal-size number (or letter, if you're working with a variable). The exponent will be in a slightly smaller font, raised a little up above and to the right of the base. However, in some formats, like this one, you'll see the base, a mark called a caret that looks like an inverted V, and then the exponent. So if you have a base of 2 and an exponent of 3, we'll write that out here as 2^3 = 8.

Now that you know the terms, let's go back to the zero exponent rule. The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example:

x^0 = 1

Answer:

2040 miles

Step-by-step explanation

Gas costs 1.35 per gallon and Jose had 81 dollars for gasoline

with this info we can find out how many gallons of gas Jose can buy.

81 divided by 1.35 is 60 gallons of gas

we also know that he can travel 34 miles for each gallon of gas

with this we can find out how far jose can travel

34 multiplied by 60 is 2040 miles

so, with $81, Jose can travel 2040 miles if gas prices are $1.35

Step-by-step explanation:

Answer in attached picture...

hope it helps

Answer:

1 = tenths place

7= hundredths place

8= thousandths place

9= ten-thousandths place

Step-by-step explanation:

Answer:

B.

[tex] \frac{275\pi}{6} {m}^{2} [/tex]

Step-by-step explanation:

[tex]area \: of \: sector \: is \\ \frac{the \: angle}{360} \times \pi {r}^{2} \\ hence \: we \: have \\ \frac{165}{360} \times {(10m)}^{2} = \frac{275\pi}{6} {m}^{2} [/tex]