1. An airplane moves at a constant speed of 120 miles per hour for 3 hours. How many miles does it go?

2. A train moves at a constant speed and travels 6 miles in 4 minutes. What is its speed in miles per minute?

3. A car moves at a constant speed of 50 miles per hour. How many hours does it take the care to go 200 miles?

Answer:

Each student ticket costs $8.33

Each adult ticket costs $15.34

Step-by-step explanation:

At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

s = cost of each student ticket

a = cost of adult ticket

Our system of equations:

4s + 2a = 64

3s + 3a = 71

-3(4s + 2a = 64) ==> -12s - 6a = -192

2(3s + 3a = 71) ==>     6s + 6a = 142

-12s - 6a = -192

  6s + 6a = 142

-6s = -50

/-6      /-6

s = $8.33 (the cost of each student ticket)

Now, let's find the cost of each adult ticket:

4s + 2a = 64

4(8.33) + 2a = 64

33.32 + 2a = 64

-33.32         -33.32

2a = 30.68

/2        /2

a = 15.34 (the cost of each adult ticket)

(x, y) ==> (8.33, 15.34)

Check your answer:

4s + 2a = 64

4(8.33) + 2(15.34) = 64

33.32 + 30.68 = 64

64 = 64

This statement is true

Hope this helps!

Answer:

621200 mg

1.36664 Lb

Step-by-step explanation:

Given;

Cullinan diamond weighed 3106 carats.

1 Carat - 0.2 grams

Question to Answer;

How much does the diamond weigh in milligrams/pounds?

Solve;

Since 1 carat = 0.2 grams

1g = 1000 mg

1g = 0.0022 lb

Thus,

3106 ct = 0.2 * 3106g = 6212g

621.2g = 621.2 * 1000 mg = 621200 mg

621.2g = 621.2 * 0.0022 lb = 1.36664 lb

[RevyBreeze]

Answer:

Three Methods: substitution, elimination, and graphing.

Step-by-step explanation:

Graphing: To find the solution of a system of equations on a graph, you find the point of intersection of the two lines.

Elimination:

Substitution:

Answer:

y = -3x - 4

Step-by-step explanation:

x - y - 2 = 4x + 2

x - y - 2 + y = 4x + 2 + y

x - 2 = 4x + 2 + y

x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2

-3x - 4 = y

so y = -3x - 4

Answer:

  y = -3x -4

Step-by-step explanation:

Any "solve for" problem involves inverse operations. You want to "undo" what has been done to the variable of interest. Generally, we're undoing multiplication or addition.

__

It can help to simplify the equation first:

  x -(y +2) = 2(2x +1)

 x -y -2 = 4x +2 . . . . eliminate parentheses using the distributive property

To get y by itself, we can undo the addition of (x -2) by subtracting that from both sides.

  -y = (4x +2) -(x -2)

  -y = 3x +4

To "undo" the multiplication of y by -1, we can multiply by the reciprocal of that, which is -1.

  (-y)(-1) = (-1)(3x +4)

  y = -3x -4

__

Additional comment

Here, we simplified the equation first. That's not always necessary or desirable. The first step is to look at what you have and make a plan. Here, y is in parentheses, so part of the plan will be to eliminate those parentheses.

Answer:

Sally's team found 50 balls

Step-by-step explanation:

300 balls are hidden.

300x30%x40%

=36 balls are yellow

Sally's team finds 20% of 36 and 80% of the white balls (300x30%-36).

20%x36+80%x(300x30%-36)

=7 (approximately or else they would've found 7.2 yellow balls) +80%x(90-36)

=7+43 (approximately)

=50

Answer:

121

Step-by-step explanation:

=5+6=11

=11(11)

=121

Answer:

[tex] {4}^{1} = 4 \\ because \: {a}^{1} = a \\ \: a \: is \: any \: \: real \: number[/tex]

The value of the expression 4¹ will be equal to 4.

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"

It can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that the exponential number is 4¹. The value of the exponent will be calculated as,

E = 4¹

E = 4

From the law of exponents, the value of 4¹ will be 4.

To know more about an exponential expression follow

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The scale factor that the company used was 0.028

Given the following parameters

Area of truck wheel = 32411 square inches

Area of the truck after scaling = 911 square inches

The formula for finding the scale factor will be;

k = final area/original area

k = 911/32411
k = 0.028

Hence the scale factor that the company used was 0.028

Learn more on scale factor here; https://brainly.com/question/10253650

Answer:

x = 180-(30+50)

=100°

Y = 30+50

=80°

...............................................

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

What is relation between metre and kilometre?

Relation between  metre and kilometre is that 1 kilometre =1000 metre

we know that kilometre and metre are two units of distance and we can convert data from one to another using their relation

Now here given distance is in kilometre

and distance is67 kilometre

We can convert 67 kilometre  in metre as

67 kilometre = 67 [tex]\times[/tex]1000metre

67 kilometre = 67000 metre =67000 m

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

To know more about distance visit : https://brainly.com/question/17273444

Answer:  ( B ) (6,700)

Step-by-step explanation:

i checked the question on my quick check

Answer:

-1/ 9 i think?

sooo my original answer was this, but i thought of the "five more" wrong

its actually different

check the person below please ignore my answer!

Step-by-step explanation:

5 + 9x = 4 i think

then to solve you subtract 5 on both sides

9x = -1

x = -1/9

Answer:

5 > x+9= 4

OR

5(x + 9) = 4

Step-by-step explanation:

I did the first one for if you are doing inequalities

The second one is if it is a normal equation, in which would be that answer.

Please mark as Brainliest!!

Answer:

C

Step-by-step explanation:

Area of a parallelogram = base times height.

The base is 14 and the height is 3, you just have to rotate the figure.

A = 14 * 3 = 42 square feet

Answer:

When f(x) = 0, there will be two 'x' values. The point where the graph crosses the positive x-axis represents the point where the cannon hits the earth.

Step-by-step explanation:

Answer:

The answer is 144

The value of x from the given equation is 144. Therefore, option C is the correct answer.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is [tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex].

Using exponent formula aⁿ×aˣ=aⁿ⁺ˣ we get

[tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex] = [tex]x^{\frac{1}{8} +\frac{3}{8} }[/tex]

= [tex]x^{\frac{4}{8}}[/tex]

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

The simplified expression is equal to 12.

So, [tex]x^{\frac{1}{2}}[/tex]=12

Squaring on both side, we get

x=12²

x=144

Therefore, option C is the correct answer.

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Answer:

you can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60

Step-by-step explanat                      

I hope to help you

Answer:

67x+23=344

collecting like terms

67x=344-23

67x=321

making x the subject of the formula

x=321/67

x=4.79

approximately

x=5

Make me the brainliest

[tex]hyx^{2} =bx^{2} +hx^{2}[/tex]First you get the length PX

secondly you use the sine rule a\sin A= b\sin B=c\sin C

hence hy = 30

you take 30\sin 90=18\X

cross multiply

sin 90 × 18 = 30×X

sin 90 = 1

1×18=30X

18\30=30X\30

0.6=X

then sin~1 0.6

answer 36.8699 as angle p

then get cos 36.8699

Answer:

what gas station I presume is the answer

Answer:

c ≈ 26.39 yd

Step-by-step explanation:

    The circumference of a circle can be found by multiplying the radius by 2 by pi or by multiplying the diameter by pi.

-> Since they give us the radius, I will use the more-known equation of 2πr

[Given]

c = 2πr

[Plug-in the value of r]

c = 2π(4.2 yd)

[Simplify]

c = 8.4yd * π

[Multiply]

c ≈ 26.39 yd

Answer:

C. 104

Step-by-step explanation:

First, translate 69 1/3 feet to inches. 69 1/3 * 12 = 832.

Because the lightbulbs are 8 inches apart, we can divide 832 by 8 to get 104.

Answer:

this is the step thank you

Answer:

x = -9

Step-by-step explanation:

First rearrange the terms.

-6x - 6x +3 = 111

Add like terms

-12x + 3 = 111

Subtract 3 from both sides

-12x = 108

Divide -12 on both sides

x = -9

Answer:

1/3

Step-by-step explanation:

Read

Answer:

wheres the graph? picture?

Step-by-step explanation:

No, because if you do -17/-40 you would get a positive answer of 0.425 and it would not equal -0.425.

Answer:

B

Step-by-step explanation:

0.06 is the same as 6 divided by 100. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{100}[/tex]. 0.154 is the same as 154 divided by 1000. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{1000}[/tex].

So, (0.06) * (0.154) is the same as [tex]\frac{6}{100}[/tex] * [tex]\frac{154}{1000}[/tex] or 6 * [tex]\frac{1}{100}[/tex] * 154 * [tex]\frac{1}{1000}[/tex]

Answer: B, C, D, and E.

Step-by-step explanation: When you solve the expression, you get the value 0.00924. So far, E is one of the correct answers, because it is exactly the same as the value of (0.06) x (0.154). When you solve answer A, you get 0.924, so that isn't one of the answers. When you solve answer B, you get 0.00924. When you solve answer C, you get 0.00924, which is another possible answer. When you solve answer D, you get 0.00924. So you pretty much select every answer but A.

Hope this helps! :)

Answer:

[tex]m=1[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-7, -8) = (x1, y1)
Point B = (-5, -6) = (x2, y2)

To find the answer we are going to have to use the formula for slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-6--8}{-5--7} =\frac{2}{2}[/tex]
[tex]\frac{2}{2} =1[/tex]
[tex]m=1[/tex]

Which means the slope of the line that passes through the points (-7, -8), (-5, -6) is "1."

Hope this helps.

Answer:

Less

Step-by-step explanation:

Working with the information provided, we are to determine whether Cameron obtained via exchange more or less on his second trip to Canada. While the time frame for this would help, it's likely that it isn't offered to you, so I'm going to try and simplify.

He would receive less, as the inflation rate in America is higher than in Canada, meaning U.S dollars depreciate in value faster.

Answer:

Step-by-step explanation:

1. What is the theoretical probability that a coin toss results in two heads showing?

25%

2. What is the experimental probability that a coin toss results in two heads showing?

50%

3. What is the theoretical probability that a coin toss results in two tails showing

0.5%

4.  What is the experimental probability that a coin toss results in two tails showing?

25%

5. What is the theoretical probability that a coin toss results in one head and one tail showing?

0.5

6. What is the experimental probability that a coin toss results in one head and one tail showing?

0.5

7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

0.5

There you go. Remember you can figure these answers out by yourself if you really try. From now on ill be answering questions and trying to help other people. Please read from your lessons as they can help you a lot, Thank you.