Find the surface area of the rectangular prism

Answer:

y = 3x + 4

Step-by-step explanation:

y = mx + b

b = y-intercept so:

b = 4

Since 4 is the y-intercept that means (0, 4).

To find slope:

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

m=(4 - 10)/(0 - 2)

m= (-6)/(-2)

m= 3

Slope-intercept:

y - y1 = m(x - x1)

y - 10 = 3(x - 2)

y - 10 = 3x - 6

y = 3x + 4

To Find :

How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% antifreeze.

Solution :

Let, x gallons of 80​% antifreeze solution is required :

So,

[tex](x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500[/tex]

Therefore, 500 gallons of 80% antifreeze solution is required.

Answer: feugfberuyvfeygcreuyug

Step-by-step hththrhfhr

Answer:

idek bro

Step-by-step explanation:

i stink at this math

Answer:

B and D

Step-by-step explanation:

they both make srnse to me

The required percentage of individuals is 66.07%.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The required data from the given table is as follows,

The total number of individuals is 112.

The number of individuals who ride Ferris wheel but not roller coaster is 74.

As per the question the percentage can be found as below,

Required percent = (The required number ÷ Total number) × 100

                              = (74 ÷ 112) × 100%

                               = 66.07%

Hence, the percentage of the individuals rode the Ferris wheel and did not ride the roller coaster is  66.07%.

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Answer:

1/4

Step-by-step explanation:

Answer:

I'll setup the problem and you can do the calculations

Step-by-step explanation:

The formula for simple interest:

I = P*r*t

I = interest

P = principle or amount invested

r = interest rate per period (period is a year)

t = number of periods

P = 4920

r = .13

t = 8

if you have questions, send a comment

Here we have been provided with the principal , rate of interest and time period for which the sum of rupees is invested.

Now here we know that simple Interest is calculated by the formula,

Here in this formula,

Putting there values in the formula,

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{4920 \times 13 \times 8}{100} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times 8}{10} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times \cancel{8}}{ \cancel{10}} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times 4}{ 5} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 52}{ 5} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{25584}{ 5} }[/tex]

[tex] \longrightarrow \: \sf{S.I. \: = \: \cancel\dfrac{25584}{ 5} }[/tex]

[tex] \longrightarrow \: \orange{\boxed{\bf{S.I. \: = \: 5116.8}}}[/tex]

[tex]\underline{\bf{Henceforth, \: interest \: paid \: is \: of \: Rs.5116.8}}[/tex]

Answer:

40 years.

Step-by-step explanation:

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

Brayden saves $1,500 at a yearly simple interest rate of 2.5%.

This means that [tex]P = 1500, I = 0.025[/tex]

How many years does it take for the amount he has saved to be double the original amount?

This will happen when the earned money is the principal, that is, E = 1500. So

[tex]E = P*I*t[/tex]

[tex]1500 = 1500*(0.025)*t[/tex]

[tex]t = \frac{1}{0.025}[/tex]

[tex]t = 40[/tex]

40 years.

Answer:

Step-by-step explanation:

40 years.

Step-by-step explanation:

The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

Brayden saves $1,500 at a yearly simple interest rate of 2.5%.

This means that

How many years does it take for the amount he has saved to be double the original amount?

This will happen when the earned money is the principal, that is, E = 1500. So

Answer:

This implies that they traveled the same distance and they spend the same amount of time from 225 to 230 mile marker

Step-by-step explanation:

Given

See attachment for graph

Required

Compare the distance and time travel

From the attached graph, we have the origin to be (0,0).

This represents the mile marker 225

Mile marker 230 is represented by point 5 on the y-axis.

Kevin's line at point 5 is represented as: (16,5)

Carrie's curve at point 5 is represented as: (16,5)

Both points are equal; i.e.

[tex](16,5) =(16,5)[/tex]

This implies that they traveled the same distance and they spend the same amount of time from 225 to 230 mile marker

Answer:

14.0 cm its a

Step-by-step explanation:

Answer:

− 1.  ¯3

Step-by-step explanation:

Answer:

Quantity of juice = 300 milliliters

Step-by-step explanation:

Given the following data;

Total quantity of juice = 3 liters

Number of students = 10 students

To find the quantity of orange juice each student can get;

First of all, we would have to convert the total quantity (volume) of juice into a unit that's divisible by 10 i.e liters to milliliters.

Conversion:

1 liter = 1000 milliliters

3 liters = 3 * 1000 = 3000 milliliters

Next, we determine the quantity each student get;

Quantity of juice = 3000/10

Quantity of juice = 300 milliliters

Step-by-step explanation:

sinx=20/36

x=sin-¹20/36

x=34

Answer: 110 feet per second

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

[tex]S1=\frac{45*5280}{3600}=66[/tex]

[tex]S2=\frac{60*5280}{3600}=88[/tex]

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

[tex]h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}[/tex]

[tex]h=\sqrt{12100}=110[/tex]

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

In this exercise we have to use the knowledge about distance to calculate the time that a route with a car will be carried out, in this way we find:

[tex]H= \sqrt{12100}=110[/tex]

In this question we will acquire that the vehicle driven on streets at 45 5 per period exist mobile into the x direction accompanying a extreme of 100 extremities, and the train happen going fashionable the y course, so they course will fashioned an angle of 90º.

[tex]S_1=(45*5280)/3600=66\\S_2=(60*5280)/3600=88[/tex]

So we can curve trio accompanying edge 66 and 88 and the hypotenuse will exist the rate that the trains will separate per second so:

[tex]H=\sqrt{(66^2+88^2}=\sqrt{(4356+7744} \\=110[/tex]

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Answer:mean

Step-by-step explanation: I am also not sure because I been looking for the anwser to this but I think it’s mean

Answer:

The first one-6.324 (This number actually goes on forever), The second one-10

Step-by-step explanation:

1- (6*6)+(2*2), 36+4, 40, 40 unsquared=6.324

2- (8*8)+(6*6), 64+36, 100, 100 unsquared=10

9514 1404 393

Answer:

  (0, c)

Step-by-step explanation:

Compare the given equation to the vertex form equation ...

  y = a(x -h)^2 +k . . . .  quadratic with vertex (h, k)

You have ...

  y = ax^2 +c

Matching these forms, we see that h=0, and k=c. Then the vertex is ...

  (h, k) = (0, c)

Answer:

zwkwzdhkjzjjhhdkjhzkhjhjhdhkjzhkjhkzj

Step-by-step explanation:

For a is 1000 ×15= 15000. Then 15000 ×4%+15000=15600

For b 10 ×3000 = 30000 the. 30000×9%+30000=32700. 2700 +600= 3300 return total value

Answer:

4 Dallas

Step-by-step explanation:

you add how much for the fries and the hamburger the add how much she add left then you will get the amount of money she start with

Answer:

[tex] \frac{3}{5}x + 2 = \frac{2}{3} x[/tex]

[tex]2 = \frac{2}{3} x - \frac{3}{5} x[/tex]

[tex]2 = \frac{10}{15} x - \frac{9}{15} x[/tex]

[tex]2 = \frac{1}{15} x[/tex]

[tex]x = 2 \times 15[/tex]

[tex]x = 30[/tex]

Your answer is x=30

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THANK YOU......

Answer:

75

Step-by-step explanation:

Answer:6

Step-by-step explanation:

The original number that was multiply by 5 instead of 3 is 6.

The equation that can be used to represent the informatioin in the question is:

5x - 3x = 12

Where x is the original number

In order to determine the value of x, take the following steps

Combine similar terms: 2x = 12

Divide both sides by 2

x = 6

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Answer:

40

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Answer:

74900

Step-by-step explanation:

just multiply the two numbers.

Answer: 74,900

Step-by-step explanation:

multiply