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their distance from home as a function of time

[tex]f(x)=50x+20[/tex]

The reasonable domain for this situation is

[tex]0\leq x\leq 2[/tex]

Given :

Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are driving at a constant rate of 50 mi/h.

Given driving speed is 50 miles per hour

They already travelled 20 miles. We need to frame linear equation because we are given with constant rate.

Linear equation is [tex]f(x)=mx+b[/tex]

where m is the constant rate and b is the initial miles travelled

m=50 and b=20

the function f(x) is the distance from home

[tex]f(x)= 50x+20[/tex]

Now we find out the domain x. Given that they travelled 120 miles

so f(x) is 120

[tex]120=50x+20\\120-20=50x\\100=5x\\x=2[/tex]

Domain is the number of hours travelled

hours cannot be negative . So the domain x for this situation is

[tex]0\leq x\leq 2[/tex]

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Answer: 50%.

Step-by-step explanation: If someone went shopping for a scooter and it was $49.99 dollars but saw a skateboard for $14.99, they would choose the skateboard because it’s cheaper. If someone else went to the store because they wanted a skateboard but then they saw a scooter for $23.99 and a bike for $19.99 there is a 50% chance they will choose the cheaper one. (I hope this ,add sense

The probability is given by the equation P = 12.3 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle be P

Now , the equation will be

Let the probability of selecting a person owing a scooter A = 30 %

Let the probability of selecting a person owing a scooter A = 0.3

Let the probability of selecting a person owing a skateboard and bicylce be B = 41 %

Let the probability of selecting a person owing a skateboard and bicylce be B = 0.41

Now ,

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = probability of selecting a person owing a scooter A x probability of selecting a person owing a skateboard and bicylce B

Substituting the values in the equation , we get

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = A x B

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle

P = 0.3 x 0.41

P = 0.123

Hence , the probability is P = 12.3 %

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Answer:

Base 6 was used

Step-by-step explanation:

Here, we want to find which number base was used for the addition calculation

We start by adding the two end numbers

4 + 5 = 9

But 3 was recorded;

That means we can have 6 as the number base( 9/6 = 1 r 3)

We still continue to verify this;

The next addition is 2+3 = 5, adding the 1 brought forward, we have 6, but 0 was recorded

6/6 is (1 r 0)

This still further corroborated the earlier assertion;

then lastly 3 + 1 + 1 (1 brought forward); 5

This was recorded directly to show that the base in question is not less than 5

Hence our base of addition is base 6

Answer:45

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

25+(3*6)=43

Answer:

When somethins is parallel it never crosses each other, this means the new equation has to have the same slope but, since y=-3 is a straight line we just have to make the new line also a straight line, maknig sure it passes through (2,5).

To do this make y equal the y-coordinate of the points it needs to pass through. This would make the answer y=5

Step-by-step explanation:

Answer:

area = 2 + (x-5) * (x-5)

Step-by-step explanation:

area of a rectangle= length * width

length = 2 + (x-5)

width = x-5

Answer:

im not sure

Step-by-step explanation:

um work here

v

Answer:

12:18:30

Step-by-step explanation:

I do RSM too, have a good day :)

The number of stickers did each student receive get is 12, 18 and 30 respectively.

Given that, a teacher divided 60 stickers among 3 students in a ratio of 2:3:5.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 2+3+5=10

Number of stickers student 1 get

= 2/10 × 60

= 12

Number of stickers student 2 get

= 3/10 × 60

= 18

Number of stickers student 3 get

= 5/10 × 60

= 30

Therefore, the number of stickers did each student receive get is 12, 18 and 30 respectively.

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Answer:

112 Ounces

Step-by-step explanation:

2 Cups + 4 Pints + 2 Quarts = 14 Cups

14 Cups = 112 Ounces

Answer:

144 ounces of soup

Step-by-step explanation:

2 cups= 16 ounces

4 pints= 64 ounces

2 quarts= 64 ounces

64+64+16=144

Answer: ABC, ACD, CBD

Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.

The triangles that should be similar to triangle ABC is  ABC, ACD, CBD.

It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry

Therefore, The triangles that should be similar to triangle ABC is  ABC, ACD, CBD.

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Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.

Step-by-step explanation:

A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .

So , length of one pair of opposite is represented by 'l'  [l= length]

Such that sum of these two sides = l+l=2l

The other pair of opposite sides s represented by 'w'  [w= width]

Such that sum of these two sides = w+w=2w

Perimeter is the sum of sides.

So, perimeter of rectangle = 2l+2w.

The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.

Answer:

a dolphin swimming 100 feet below sea level

Step-by-step explanation:

Plato

Answer:

2.        3x + 4

Step-by-step explanation:

What we know:

w=x

Perimeter (p) = 8x+8

Formula for perimeter  p =2(L+W)

8x+8 =  2(L+W)

L+W is half, so    

 L+W = 4x+4

Substract W on both sides;

L = 4x+4 -W    

We know that  W = x

So

L= 4x+4-x

4x-x= 3x

L= 3x+4

Answer:

(2, 4)

Step-by-step explanation:

When you reflect/flip over an axis, negate value of the opposite of it. Fox the X axis, negate the y value.

Answer:

(2,4)

Step-by-step explanation:

Answer:

210 dollars left

Step-by-step explanation:

Answer:

he has 210 dollars left

Step-by-step explanation:

250+35=285

285-75=210

Answer:

It's easy

Step-by-step explanation:

Check the attachment for your answer

Answer:

48

Step-by-step explanation:

Bridget = 2      x 12 = 24

Jim = 1              x 12 = 12

Krutika = 1        x 12 = 12        ---> 24 + 12 + 12 = 48

Answer:

12.55

Step-by-step explanation:

Subtract 20 by 7.45

The required amount bob will get in return is given as $12.55.

Given that,
bob buys a t-shirt for $7.45 he pays with a 20 bill, how much change will he get is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
total nill = $7.45
Total money given  = $20
Change to return = 20 - 7.45 = $12.55

Thus, the required amount bob will get in return is given as $12.55.

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9514 1404 393

Answer:

  C.  1.15x

Step-by-step explanation:

You are given the expression for the cost:

  x + 0.15x

Combining like terms, this becomes ...

  1.15x . . . . . matches choice C

Answer:

Bing Bang?

Step-by-step explanation:

do you mean the Big Bang?

Answer:

y=-2/5x+36/5

Step-by-step explanation:

Answer:

x > 2

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Translate

"Two" = 2

"minus" = subtraction

"a number x" = x

"is no more than" = <

"0" = 0

Step 2: Set up inequality

2 - x < 0

Step 3: Solve for x

Here we see that any value larger than 2 would work as a solution of x.

Answer:

A

Step-by-step explanation:

Answer:

The correct answer would be A.

Answer :

a + 1/4b

6/a + b/4

ab- 17

b/2 + 4

b + 1/a

5a - 6

Step-by-step explanation:

5a - 6 = 9

b/2 + 4 = 8

ab - 17 = 7

6/a + b/4 = 4

b + 1/a = 8.5

a + 1/4b = 3.03125

Answer:

-32

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

In Solving This You will Need To;

*First You Open The Bracket Which is

6×(2-8)+4

6×2-8+4

*So after this you will multiply the 6 by the 2 which is going to be;

12-8+4

*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;

4+4

Then you add the four plus 4 so the final answer will be 8

(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)

Answer:

1140

Step-by-step explanation:

52/x=20/100

52(20)=100(x)

52(20) = 1040

100(x) = 100

1040+100= 1140

Answer:

8+2i

Step-by-step explanation:

Combine like terms

3+5=8

4i-2i=2i

Answer: 8 + 2i

Step-by-step explanation:

1) Rewrite the two complex numbers in standard form: (3 + 4i) + (5 − 2i) = 3 + 5 + 4i - 2i = 3 + 5 + 2i

2) Add the real parts and the imaginary parts separately: Real parts: 3 + 5 = 8 Imaginary parts: 2i + (-2i) = 0

3) Put the results in standard form: 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 2i

Answer:

The whole angle on a circle is equal to 360°.

This means that:

∠A + ∠B = 360°.

Here we know that ∠A = 7°

Then ∠B = 360° - 7° = 353°

Now, if the probability is evenly distributed for all the angles, then the probability that the spinner lands in A is equal to the quotient between the measure of the angle A, and the measure of the total circumference, this will be:

Pa = 7°/360° = 0.019

And the same for B:

Pb = 353°/360° = 0.981

Now, the expected value can be calculated as:

Ev = ∑xₙ*pₙ

Where xₙ is the event n, and pₙ is its probability.

Then:

x₁ = A = 100

p₁ = Pa = 0.019

x₂ = B = 2

p₂ = Pb = 0.981

The expected vale will be:

Ev = 100*0.019 + 2*0.981 = 3.862

Rounding to the nearest hundredth, the second digit after the decimal point, we have:

Ev = 3.86