Brittany uses the ski machine and the treadmill at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
1) Brittany will exercise for at least 45 minutes and at most 1 hour and 15 minutes,
dividing her time between the ski machine and the treadmill.
2) Brittany will spend at least three times as much time on the treadmill as on the
ski machine.
a. Let x represent the time on the ski machine and y represent the time on the
treadmill. Write a system of inequalities that models the relationships between the
amounts of time Brittany spends on the two machines. You will have three
inequalities.

Answer:

20

Step-by-step explanation:

1000g = 1 kil0

2 x 1000 = 2000g

Number of cakes = 2000 / 100 = 20

The equation that represents the number of hours, h, Erica rented the scooter is 25h + 12 = 73.

Consider variable h represents the number of hours Erica rented the scooter.

The term 25h represents the cost of the gas fee, which is $25 multiplied by the number of hours.

The term 12 represents the cost per hour of renting the scooter.

The equation states that the sum of the gas fee and the rental fee per hour equals the total cost of $73.

Therefore, the correct equation is:

25h + 12 = 73, which represents the number of hours Erica rented the scooter.

Learn more about the Linear equations here:

brainly.com/question/13738061

#SPJ1

Answer:

B. 3/5x-3/7

Step-by-step explanation:

You multiply when applying the distributative property

3(1/5x-1/7)

3/5x-3/7 multiply 3 by each value in parentheses.

Answer:

10.35

Step-by-step explanation:

The given triangle is a right angled ∆ .The data given is ,

We can use ratio of cosine here , as ,

=> cos∅ = b/h

=> cos 63° = x/23

=> 0.45 = x/23

=> x = 23 × 0.45

=> x = 10.35

Answer:

diameter: 2.4 mi

circumference = 38.96 mi

Step-by-step explanation:

d=2r=2·6.2=12.4

C=2πr=2·π·6.2≈38.95575

Answer:

3 for 15

cheaper

all you have to do is divide the number of sandwiches by the money.

(i answered again because its a waste of points)

Answer:

complementary angle

Step-by-step explanation:

hope this helps u

Answer:

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)

m = [tex]\frac{-6+5}{3=2}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, - 5 ) , then

- 5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = - 5 + [tex]\frac{1}{2}[/tex] = - [tex]\frac{9}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex] ← equation of line

Answer: I like NF and can I do it later I’m in class

Step-by-step explanation:

Answer:

first you will need to break the shape into a semi circle and a triangle.

then solve the area of the semi circle. which is

[tex] \frac{(3.14) \times r ^{2} }{2} \\ [/tex]

[tex] \frac{(3.14) \times 4.6^{2} }{2} \\ = 33.22[/tex]

Then solve the area of the triangle.

First work out the height of the triangle, which is

[tex]13.4 - 4.6 = 8.8[/tex]

then the area. which is

[tex] \frac{1}{2} 4.6 \times 8.8 \\ = 20.24[/tex]

now calc. the two figures. which is

[tex]20.24 + 33.22 \\ = 53.46[/tex]

Answer:

4/6

Step-by-step explanation:

→ Write the slope formula

(y₂ - y₁) ÷ (x₂ - x₁)

→ Substitute in the numbers

(3 - -1) ÷ (4 - -2)

→ Simplify

4/6

Answer:

m = 2/3

Step-by-step explanation:

Complete question is;

Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.

Select all the true statements. Make your selections bold.

A. The median height of the sample must be between 59 and 63 inches.

B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.

C. The mean height of these 20 students is likely to be the same as the mean height of all students in the district.

D. The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.

E. Elena would be more likely to get an accurate estimate of the mean height of the population by sampling 40 people instead of sampling 20 people.

Answer:

Options A, B & E are true.

Step-by-step explanation:

We are told that Elena's mean absolute deviation is 2 inches.

This means that the distance between each data point and the mean is equal to 2. This value gives us a good idea about the variability present in the dataset.

This is calculated from the difference between the mean of the absolute value of the initial mean and each data set.

Now, looking at the options. In option A, since mean height of the 20 students is given as 61, it means the median will be close to that figure too. Thus, between 59 and 63 inches given is appropriate.

In option B, if another random sample is taken, the mean would likely be close to 61 too since the MAD is 2.

Thus range given is okay.

In options C & D, there is no evidence to prove that the new mean would be the same as the district or the second random sample. This, both options are not appropriate.

In option E, if she uses a Sample of 40, she will obviously get a more accurate figure because the more the sample the more accurate the average result that represents the population.

Answer:

-4²

Step-by-step explanation:

Answer:

The answer would be 5h+45

Step-by-step explanation

5 (h+9)

You need to convert this equation into the equation

you multiply 5 by h and get 5h

Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45

Once you have 5h and 45 just put it together with the addition symbol which will will equal:

5 (h+9) = 5h + 45

Your Welcome! (hopefully this answers your question)

Answer:

15 = 2 + 0.5g

Total number of ticket purchase by Janine = 26

Step-by-step explanation:

Given:

Cost of water bottle = $2

Cost of each ticket = $0.50

Total amount spend by Janine = $15

Find:

Equation

Computation:

Assume;

Total number of ticket purchase by Janine = g

Total amount spend by Janine = Cost of water bottle + (Cost of each ticket)(Total number of ticket purchase by Janine)

15 = 2 + (0.5)(g)

15 = 2 + 0.5g

0.5g = 13

g = 13 / 0.5

Total number of ticket purchase by Janine = 26

Answer:

1 (2/3)meter

Step-by-step explanation:

3(1/2) = 7/2  = 21/6

1(5/6) = 11/6

21/6 - 11/6 =  10/6 = 5/3 = 1 (2/3)

Answer:

D

Step-by-step explanation:

The function f(x) = 6x2 +x -12 is a quadratic since the highest degree polynomial term is 2. So that eliminates B and C. Option A is incorrect because the quadratic term is 6 not double the constant. There for the correct choice is D because the function is a quadratic and the quadratic term is 6x2, the linear term is x and the constant term is -12.

Answer:

Answer attached

Step-by-step explanation:

Midpoint of AB = (1,0)

Let's check

midpoint of AB

Answer:

216x^9y^12

Step-by-step explanation:

Answer: 114

Step-by-step explanation:

Plug in the numbers. 5*5+2*5*8/2*2+3*3=25+80+9=114

Answer:

[tex]P(2)=(32,46)[/tex]

Step-by-step explanation:

From the question we are told that:

Height of robot [tex]h=12 inches[/tex]

Weight of robot [tex]W=4[/tex]

Start position [tex]P(1)=(4,4)[/tex]

Per minute distance [tex]d=(4,6)[/tex]

Total time [tex]T=7min[/tex]

Generally the distance traveled in 7 minutes [tex]d_T[/tex] is mathematically given by

 [tex]d_T=d*T[/tex]

 [tex]d_T=(4.6)*7[/tex]

 [tex]d_T=(28,42)[/tex]

Generally the position of the robot after 7 minutes is  mathematically given by

 [tex]P(2)=P(1)+d_T[/tex]

 [tex]P(2)=(4,4)+(28,42)[/tex]

 [tex]P(2)=(32,46)[/tex]

Therefore the position of the robot after 7 minutes is

 [tex]P(2)=(32,46)[/tex]

Answer:

Mean is greater

Step-by-step explanation:

For a skewed distribution, then the tail is longer to one side from the center than to the other. In a right skewed distribution, the tail is longer to the right.

When a distribution is skewed, the mean will be closer to the tail Than the median. Therefore. For a right skewed histogram, the mean is closer to the tail of the histogram and hence closer to the right. Once this happens, values closer to the right of a distribution are higher (number line). Thus the mean will be greater than the median.

Answer:

C - Triangle, Pentagon, Hexagon, Decagon

Step-by-step explanation:

Triangle - 3 sides

Pentagon - 5 sides

Hexagon - 6 sides

Decagon - 10 sides

From Least to greatest!

:)

Answer: I need this one too

Step-by-step explanation:

Answer:

180

180 - (98 + 46)

36

Step-by-step explanation:

Answer:

The team won 10 games.

Step-by-step explanation:

The statement indicates  that the football team played a total of 16 games, which means that  the total number of games they won, lost or tied is equal to 16 and you can express this as:

x+y+z=16, where:

x is the number of games the team won

y is the number of games the team lost

z is the number of games the team tied

As you know that they tied one game, it means that z=1:

x+y+1=16

x+y=16-1

x+y=15

Also, the statement says that they won twice as many games as they lost which means that the number of games they won is equal to two times the number of games they lost, which is:

x=2y

Now, you can replace x=2y in x+y=15 and solve for y:

2y+y=15

3y=15

y=15/3

y=5

Finally, you can replace the value of y in x=2y in order to find the value of x:

x=2(5)

x=10

According to this, the answer is that the team won 10 games.

Answer: [tex]184,724.153[/tex]

Step-by-step explanation:

Given

In 1990, there were 1200 cell phone subscriber in small town of stephenville

It is increasing by 75% per year after 1990

In year 1991 it is

[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]

In year 1992 it is

[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]

So, it is increasing as [tex]1200(1.75)^x[/tex]

where [tex]x=[/tex]no of years spent

After 9 years, it is

[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]