Your school is planning a field trip to the zoo. There are two different bus companies that the school can use. Bus company A has a $25 rental fee of plus $4 for each student. Bus company B has a $115 rental fee plus $2 for each student. How many students will need to go in order for the bus to cost the same from both companies? a) 42 students b)73 students c)70 students d)45 students

Answer:

Graph 2.

Step-by-step explanation:

When you replace x with x - h, the functions shifts horizontally h units.

Here you are replacing x with x + 4. To write x + 4 in the x - h form, you must write x - (-4) making h = -4. f(x + 4) has a shift of -4 units, or 4 units to the left, compared to f(x).

The function f(x) = x^3 included point (0, 0). It goes up to the right of (0, 0), and down tot eh left of (0, 0).

The answer is graph 2. which shows a shift of 4 units to the left compared with the graph of f(x) = x^3.

Answer:

C is the correct answer.

Answer:

50

Step-by-step explanation:

The sum of 2 and 8 is 10. 10 times 5 is 50

Answer:

50

Step-by-step explanation:

10 times 5 is 50

Answer:

The diameter of the circle is 9.

Step-by-step explanation:

Because circumference is equal to [tex]\pi[/tex] * d, we can backtrack and use this equation to find diameter. Let's say [tex]\pi[/tex] is equal to 3.14.

28.26 = 3.14d

Divide both sides by 3.14.

9 = d

The diameter of the circle is 9.

To find the diameter of a circle with a circumference of 28.26 units, the formula D = C / π is used, yielding a diameter of approximately 9 units.

The student's question pertains to finding the diameter of a circle when the circumference is given. The circumference (C) of a circle is related to the diameter (D) by the formula C = πD, where π (pi) is approximately 3.14159. Given that the circumference of the circle is 28.26 units, we can solve for the diameter by rearranging the formula to D = C / π.

Substituting the given circumference into the formula gives us:

D = 28.26 units / 3.14159

When we do this calculation, we find that the diameter is approximately 9 units. Therefore, the diameter of the circle is approximately 9 units.

Answer:

x > 32

Step-by-step explanation:

x/8 > 4       Multiply both sides by 8

  x > 32

Answer:

Step-by-step explanation:

-6 is your (y) while -x is your (x), for -x turn that to (-1/1) which is down 1 and right 1. That's your answer

To solve this, simply divide 8 into 3

8/3=2 2/3

Each person gets 2 2/3 pounds of trail mix.

Answer: 3/8 or 0.375 trail mix is in each bag.

Step-by-step explanation: April has 3 pounds of trail mix. If there are 8 bags, we can divide 3 by 8 to give us how much trail mix is in each bag.

Answer:

y^3/(27 x^3)

Step-by-step explanation:

Simplify the following:

((3 x)/y)^(-3)

((3 x)/y)^(-3) = (y/(3 x))^3:

(y/(3 x))^3

Multiply each exponent in y/(3 x) by 3:

(y^3)/((3 x)^3)

Multiply each exponent in 3 x by 3:

y^3/(3^3 x^3)

3^3 = 3×3^2:

y^3/(3×3^2 x^3)

3^2 = 9:

y^3/(3×9 x^3)

3×9 = 27:

Answer:  y^3/(27 x^3)

Answer:

6 is the closest whole number

Step-by-step explanation:

Answer: 6

Step-by-step explanation: If the first digit in 6.19 is less than 5 then we simply remove the decimal after the whole number (0.19 in this case) to get the answer.  If the first digit in 6.19 is 5 or above, then we add 1 to the whole number (6 in this case) and remove the decimal after the whole number (0.19 in this case) to get the answer.

I hope that helped! Good luck, fam! :D

- Une

Answer:

10 2/15 hours

Step-by-step explanation:

If we have a candle that is 11 2/5 inches tall

It burns 1 1/8 inches per hour.  We need to divide to see how long the candle will last

11 2/5 ÷ 1 1/8

I will convert the mixed numbers to improper fractions

11 2/5 = (5*11+2)/5 = 57/5

1 1/8 = (8*1+1)/8 = 9/8

57/5 ÷ 9/8

Copy dot flip

57/5 * 8/9

456/45

Now we change it back to a mixed number

45 goes into 456  10 times with 6 left over

10 6/45

This simplifies to 10 2/15

Answer:

The hypotenuse of this is 6

Step-by-step explanation:

Answer:

hypotenuse = 6

Step-by-step explanation:

For a right triangle, we know that sin (theta) = opposite / hypotenuse

sin 45 = 3 sqrt(2)/ hypotenuse

Multiply both side by hypotenuse

hypotenuse * sin 45 = 3 sqrt(2)

Divide by sin 45 on both sides

hypotenuse * sin 45/ sin 45 = 3 sqrt(2)/sin 45

hypotenuse = 3 sqrt(2)/sin 45

hypotenuse = 6

Answer:

195 cm

Step-by-step explanation:

Total the number of players and their total heigh

number of players = 2 + 6 + 3 + 1 + 1 = 13

total height = (2 × 200) + (6 × 201) + (3 × 202) + 203 + 204

                   = 400 + 1206 + 606 + 203 + 204 = 2619 cm

let x be the height of the new player, then

[tex]\frac{2619+x}{14}[/tex] = 201 ( multiply both sides by 14 )

2619 + x = 14 × 201 = 2814 ( subtract 2619 from both sides )

x = 2814 - 2619 = 195

height of new player is 195 cm

Answer:

Net pay = $695

Step-by-step explanation:

To find her net pay, we take the gross pay and minus the deductions

Net pay = 750 - 31 - 10 - 14

Net pay = 695

Da answer should be A. 40 feet hope it's da right answer

Answer:

Absolute value is the distance away from zero, so if x is a rational number and y is opposite, they would both be the same distance away from zero, regardless of their sign.  

Step-by-step explanation:

Absolute value is the distance of a number away from zero.  For example, if x is equal to the rational number -2, the absolute value of -2 is just 2, given that both 2 and -2 are only a distance of 2 away from the number zero.  Think of it as your walk or drive to school.  If you live 4 miles from school, you drive a distance of 4 miles there and 4 miles back.  That distance is not calculated as a positive 4 miles there and a negative 4 miles back, but rather just 4 miles there and 4 miles back, for a total distance of 8 miles.  So, if x=4 and y=(-4), the absolute value of both would be 4.  

Answer:

Both populations -Apex

Step-by-step explanation:

Answer:

70.77

Step-by-step explanation:

Hope this helps

Answer:

Y = 3 X + (-8)

Step-by-step explanation:

The given equation  is in  the slope intercept form

Equation is

                 Y - 4 = 3 (X - 4)

In a linear function → it takes number X as a input and gives mX + b as output.

m and b are constant.

mX → it is called scaling by factor m.

   +b → it is called a shift by an amount b.                  

Then we can say that linear function looks like this

f(X) = mX + b

Let Y = f(X)

Hence,

           Y = mX + b

From the given equation

                                         Y - 4 = 3 (X - 4)

                                          Y - 4 = 3 X - 12

                                           Y = 3 X + (-8)                                (m = 3 , b = - 8)

It is the linear form of the given equation

Answer: a) , where 'A' is the value of car after 't' years.

b) $12446.784

Step-by-step explanation:

Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.

Then a function that models the value of the car will be

, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.

Thus after substituting given value, the function becomes

To find the value after 3 years, substitute t=3 in the above function.

Hence the value of car after 3 years=$12446.784

The value of a car such as the 2017 Honda Civic decreases approximately 7% per year after manufacture. This is an example of exponential decay. After the first year, the car's value would be close to $18,172.

The value of a car declining annually after its manufacture is an example of exponential decay in mathematics. In the case of the 2017 Honda Civic costing $19,540, the value decreases by approximately 7% each year. To calculate this, we can use the formula for exponential decay which is A = P(1 - r), where A is the final amount, P is the initial amount (price of the car), r is the rate of decrease (in decimal form), and n is the number of time periods (years in this case).

Now, if you want the value of the car after its first year, replace P with $19,540, r with 0.07, and n with 1. When calculating this, you should get a value close to $18,172, which is the approximate value of the car one year after it was manufactured.

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Complementary angles add up to 90 degrees.

The complement angle to 35 is:

90 - 35 = 55 degrees.

The answer is D.

Answer: 1) A. 41% (2)B. 0.15

(3) C. 560%

Step-by-step explanation:

In question 1, all you need to do is to count the number of shaded box, and tho total boxes are 100, so number of shaded box/100

=41/100 = 41%

In question (2)

15/100,whenever you shift a decimal to the left hand side the zero will go away, so shiftingit twice to the left handside,the two zeros will go away, so you will have 0.15

In question3

5.6 to percentage,

Simply multiply by 100/100

5.6 ×100/100 = 560/100 =560%

Answer:

$.02 per ounce

Step-by-step explanation:

To find the cost per ounce, we take the cost and divide by the ounces

Brand A

$1.28 / 8

$.16 per ounce

Brand B

$1.68/12

$.14 per ounce

To find the difference, we subtract the smaller from the larger

$.16 -$.14

$.02 per ounce

Answer:

oof

Step-by-step explanation:

Answer:

3/7 and 4/17

Step-by-step explanation:

a) given that Shen is playing a game and the probability of unlocking the treasure test is 3/10.

To find the odds in favour of his character unlocking the treasure chest.

Since probability = 3/10 we have favourable and total are in the ratio 3:10

i.e. favourable:Favourable+unfavourable= 3:3+7

Hene odds= favourable:unfavourable =3/7

Answer is 3/7

b) Given that odds against choosing a blue block are 13/4

This means there are 4 blue blocks and 13 other colour blocks.

Total blocks= 13+4 =17

No of blue blocks = 4

Probability of selecting blue block=4/17

Answer:

To make the figures smaller, scale factor must be divided.  

Step-by-step explanation:

1) Firstly, consider a pentagon ABCDE, if we take the scale factor 1\3, the dilations will be smaller.

As distance between A and B = 6

after dilation, distance between A' and B' = 2

Similarly continuing for each side, we get the figure smaller A'B'C'D'E' which is smaller than the original figure.

2) Secondly, consider a hexagon ABCDEF, if we take scale factor 1\2, the dilated figure will be smaller.

A s distance between A and B = 4

After dilations, distance between A' and B' = 2

Similarly continuing for each side, we get the figure A'B'C'D'E'F' which is smaller than the original figure.

Final answer:

Two scale factors that make figures smaller, according to Ms. Hussain's claim, are 2 inches to 8 feet (1/48) and 6 inches to 48 feet (1/96), as they are both less than one and would result in smaller dilated figures.

Explanation:

To support Ms. Hussain's claim that some dilations make figures smaller, we look for scale factors that are less than one because these scale factors reduce the size of the original figure. When reviewing the scale factors presented:

The scale factors that make the figures smaller are 2 inches to 8 feet (which simplifies to 1/48) and 6 inches to 48 feet (which simplifies to 1/96), since both are less than 1. The original figures are 48 times and 96 times larger than their dilated figures, respectively. Both of these would result in a decrease in size when the original figures are dilated using these factors.

Answer:

Exact Form:

9√2

Decimal Form:

12.72792206

Step-by-step explanation:

Simplify expression

Answer:

[tex]9\sqrt{2}[/tex]

Step-by-step explanation:

sqrt 8+ 3 sqrt2 +sqrt 32

[tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]

Simplify each square root

[tex]\sqrt{8}=\sqrt{2*2*2}=2\sqrt{2}[/tex]

[tex]\sqrt{32}=\sqrt{4*4*2}=4\sqrt{2}[/tex]

Given expression becomes

[tex]2\sqrt{2} +3\sqrt{2} +4\sqrt{2}[/tex]

All are like terms so we add it

[tex]9\sqrt{2}[/tex]

Answer: 90%

Step-by-step explanation:

Step 1: You would get the greater value (50) and the lower value (26). You would subtract those numbers.

Step 2: You would get 24 when you subtract those numbers. Divide that number by 26.

Step 3: This is optional. You can simply those numbers to make it easier to divide.

Step 4: Divide

Step 5: You would get 0.9230769

Step 6: Move the decimal point 2 times to the right. So you would get 92%

Answer:

They are all 180 degrees

70+30=100

180-100=

Ans:80 Degrees

Step-by-step explanation:

y-intercept:  (0,4)

x-intercept: (8,0)

Y-intercept:

I made x=0

[tex]0+2y=8\\[/tex]

divide by 2 on both sides

[tex]y=4[/tex]

x-intercept

I made y=0

[tex]x+2(0)=8\\x=8[/tex]

Answer: The question is saying to write an equation in slope form: y=mx+b

M=1/4 and b=-3/4

It is the first answer: y=1/4x-3/4

Answer:

The answer is 585

Step-by-step explanation:

I took the k12 test the answer above is correct