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.

Answers

Answer 1

Answer:

Required inequalities are as following.

Brittany will exercise for at least 45 minutes:

x + y ≥ 45

Brittany will exercise at most 1 hour and 15 minutes  (= 75 min):

x + y ≤ 75

Brittany will spend at least three times as much time on the treadmill as on the ski machine:

y ≥ 3x
Answer 2

Answer:

[tex]x + y = 5 \\ 5 \times 5 = 25[/tex]


Related Questions

Isabella has already baked 4 pies, and she can bake 2 pies with each additional cup of sugar she buys. Write an equation that shows the relationship between the additional cups of sugar x and the number of pies y.

Answers

Answer:

It would be y = 2x+4

Step-by-step explanation:

This is because Isabella has started with 4 baked pies and is gaining additional pies with in amounts of 2 pies.

With this, 4 would be by itself and 2 would be attached to the variable x for the unknown amount of additional pies.

Lastly, you would have this all equaling y, as y is the total amount of pies.

please help me i can give brainliest!

If the mean and the median of a set of data is 25, is the data skewed left, skewed right, or symmetrical.

Answers

Answer:

skewed left

Step-by-step explanation:

What is the surface area?

Answers

Answer:

148

Step-by-step explanation:

#11 Please answer the question

Answers

The answer to this is D. 134

Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.

Answers

Given:

A figure of a robotics project.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

The given figure contains a triangular prism and a cuboid.

The dimensions of the cuboid are 6 cm, 8 cm and 5 cm. So, the volume of the cuboid is:

[tex]V_1=length\times width\times height[/tex]

[tex]V_1=6\times 8\times 5[/tex]

[tex]V_1=240[/tex]

So, the volume of the cuboid is 240 cubic cm.

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

So, the area of the base of the triangular prism whose base is 8 cm and height 4 cm, is:

[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]

[tex]B=16[/tex]

The volume of a triangular prism is:

[tex]V_2=Bh[/tex]

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

[tex]V_2=16(5)[/tex]

[tex]V_2=80[/tex]

Now, the volume of the given figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=240+80[/tex]

[tex]V=320[/tex]

Therefore, the volume of the finished object is 320 cubic cm.

Helpppppppppppppppppppppp

Answers

Answer:

the answer is 59 because you have to simplify no that's the answer

Graph the image of square CDEF after a dilation with a scale factor of 2, centered at the
origin.

pls help lol

Answers

Answer:

Image attached

Step-by-step explanation:

Origin looks to be (0, -1), so move each point out by 2

Consider a sequence whose five terms are: 3, 9, 27, 81, 243 Which function ( with domain all integers could used to define and continue this sequence

Answers

Answer: a(n)=3^n as an infinite sequence

I do not know whether you've been introduced to series notation yet, though if you haven't, a(n)=3^n pertains to sequences specifically.

a(n) = 3^n = {3^1, 3^2, 3^3, 3^4, 3^5...}

Which equals 3^n = {3, 9, 27, 81, 243...}


Is it possible for two lines with negative slopes to be perpendicular? Justify your answer.

Answers

Answer:

No

Step-by-step explanation:

The slopes of perpendicular lines must always be the negative reciprocal of each other. If one slope is negative, for the other to be perpendicular to it, it must be positive, and vise versa.

Answer:

No

Step-by-step explanation:

Interesting question. Subtle.

The formula for two lines to be perpendicular is m1 * m1 = -1 That means that two lines cannot be minus -- only 1 of them can be. The reason is that if both were minus when multiplied together would give a positive result -- not minus one. For example, suppose you have

y = x + 2  

y = 2x + 3.

These 2 lines will cross and they are not parallel, but neither are they perpendicular. I'm not going to solve this to find out where they cross -- that's not what you are asking.

Now suppose you have two other lines

y = - 2x + 3

y = 1/2 x + 1

These two lines should be perpendicular

-2 * 1/2 =  - 1 which is the condition of perpendicular.

Separate graphs have been uploaded to help you understand.

Uppose you have a bag of marbles and of the marbles are . If you choose one without​ looking, the probability you choose marble is
. How can you write this probability as a​ decimal? Write this probability as a decimal. Use a word or phrase to describe this probability.

How do you change the fraction to a​ decimal?
A. Multiply the numerator and denominator by .
B. Divide the denominator by the numerator.
C Divide the numerator by the denominator..
D. Multiply the numerator by the denominator.

Answers

C. Divide the numerator by the denominator.

HIHI PLS help ;( having trouble </3

it says "The graph of the inequality y>-1/2x-2 should have the test point 0,0 shaded. true or false"

THANK YOU ヽ(=^・ω・^=)丿​

Answers

Answer:

True

Step-by-step explanation:

Substitute in x = 0 and y = 0.  If the statement is true, then (0, 0) is shaded.

y > -1/2x - 2

0 > -1/2(0) - 2 = -2

0 > -2 is true, so (0, 0) is shaded

Justin can run 2 laps in 1 minute. Which equation below represents this situation?
a) y = x/2
b) x = 2y
c) y = x + 2
d) y = 2x

Answers

The answer is Ahope this helps

Caleb bought groceries for $68.48, including sales tax. If sales tax was 7%, how much was the groceries before tax?
pls help me

Answers

Answer:

$64.00

Step-by-step explanation:

Let the amount for the groceries before tax be Y

If the cost inclusive of tax at 7% is $68.48, then

Y + 7% * Y = $68.48

100%Y + 7%Y = $68.48

107%Y = $68.48

Recall that 107% = 1.07

1.07Y = $68.48,

Divide both sides by 1.07

Y = $68.48/1.07

Y = $64.00

Hence the cost of the groceries before tax is $64

give an example when the mean and median might have the same value

Answers

10,20,30,40,50

Here, 30 is both mean and median.

Answer:

1,2,3.

Step-by-step explanation:

It's simple. But here's the math.

1+2+3÷3=2

And the median of the number is 2.

For what value of m inequality is always true mx²+3mx+2>0?​

Answers

Answer:

Step-by-step explanation:

what’s the equation for this graph pls help me :)

Answers

Answer:

y=-1/8x

Step-by-step explanation:

please help i will give brainlist!!​

Answers

Answer:

1157.09

Step-by-step explanation:

On a map, 1 inch equals 15 miles. Two cities are 5 inches apart on the map. What is the actual distance between the cities? The actual distance between the cities is miles.

Answers

Answer:

75 miles

Step-by-step explanation:

You have to just multiply 15 by 5.

1*5 inches=15*5 miles

What is -(-7)

GIVING BRAINLIEST

Answers

Step-by-step explanation:

answer is +7

hope it helps you

on a map, the scale shown is 1 inch : 5 miles. if an island is 2.5 square inches on the map, what is the actual are of the island

Answers

Answer:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Step-by-step explanation:

WILL GIVE BRAINLIEST

PHOTO ATTACHED

Drag each tile to the correct box.
Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation.

(4.3x10^6).(9.8x10^-4)

(2.9x10^7)-(1.6x10^–9)

(4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)

(4.9x10^3).(74x10^–6)

(3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)

Answers

Answer:

3,4,2,5,1. youre welcome :)  

The arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is as follows:

Order                           Mathematical expressions

1.                                  3. (4.7 x 10^3). (8.6 x 10^-7)

                                         ________________

                                       (3.8 x 10^-4). (6.1 x 10^2)

2.                                 4. (4.9x10^3).(74x10^–6)

3.                                 2. (2.9x10^7)-(1.6x10^–9)

4.                                 5.  (3.9 x 10^5). (8.7 x 10^-3)

                                            _________________

                                           (3.7 x 10^-5). (2.9 x 10^8)

5.                                 1. (4.3x10^6).(9.8x10^-4)

What are mathematical expressions?

Mathematical expressions are a combination of numbers, variables, and functions (for example, addition, subtraction, multiplication, or division, etc.) to state complete mathematical thoughts.

Mathematical expressions can be likened to grammatical phrases. In linguistics, a phrase, which may include an action, but it does not make a complete sentence without being combined with other phrases.

Data:

1. (4.3x10^6).(9.8x10^-4)

2. (2.9x10^7)-(1.6x10^–9)

3. (4.7 x 10^3). (8.6 x 10^-7)

    ________________

   (3.8 x 10^-4). (6.1 x 10^2)

4. (4.9x10^3).(74x10^–6)

5.  (3.9 x 10^5). (8.7 x 10^-3)

    _________________

    (3.7 x 10^-5). (2.9 x 10^8)

Thus, the arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is 3, 4, 2, 5, and 1.

Learn more about mathematical expressions at https://brainly.com/question/1852123

Please help??!!!!!!!!!!!!!!!!

Answers

Answer: 2 (y=x/3 -2)

Explanation: I’m pretty sure that the right answer

PLEASE HELP 5 of 5
A, B & C form a triangle where Z BAC = 90°,
AB = 2.6 mm and CA = 14.2 mm
Find the length of BC, giving your answer rounded to 1 DP.
BC =
mm
PLEASE HELP

Answers

Answer:

BC ≈ 14.4 mm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

BC² = AB² + AC² = 2.6² + 14.2² = 6.76 + 201.64 = 208.4

Take the square root of both sides

BC = [tex]\sqrt{208.4}[/tex] ≈14.4 mm ( to 1 dec. place )

Determine whether each number is prime or composite.
1. 41
2. 29
3. 87
4. 36
5. 57
6. 61
7. 71
8. 103
9. 39
10. 91
11. 47
12. 67
please!!!!Can somebody help me

Answers

1.)41 is prime

2.29 is prime

3.87 is composite

4.36 is composite

5.57 is composite

6.61 is prime

7.71 is prime

8.103 is prime

9.39 is composite

10. 91 is composite

can someone please help me?

Answers

The answer is 600cm2

A Cone and Cylinder have the same radius and height. If the Cylinder’s volume is 363 cm3 . What is the Cone’s volume?

Answers

ok um 213=89Step-by-step explanation:ummmmmmmmmm

4 of 7
June rolls a fair dice 234 times.
How many times would June expect to roll a one?

Answers

Answer: 39 times

Step-by-step explanation: A fair dice has 6 sides with each side having a different number between 1 and 6. Therefore, the probability of rolling a 1 is 1/6. To find out how many times June would expect to roll a 1 after rolling the dice 234 times, you must multiply 234 by 1/6 to get the answer of 39.

A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism?​

Answers

Answer:

352

Step-by-step explanation:

Simply you would just add all the side areas together. Since it is a rectangular prism, there are six sides with parallel sides. You have 8 inches as the width x2, 12 inches in length x2, and 4 inches in height x2. Height is 4, so you would multiply that with the side length of 12 getting 48 and since there are 2, it would be 96. Then again multiply the height with the width of 8 inches to get the area of 32 and since there are two of those it would equal 64. Lastly you have length and the width so multiply 8 and 12 to get 96. There are also two of those so you would have 192. In total, you have 96, 64, and 192 so together this would be 352. Your surface area is 352.

HELP! will give brainliest if you show work on how to get this answer below!


Solve for x. Check for extraneous solutions.
2+ sq root (x+18)=x

answer should be:
7(-2 is extraneous)

Answers

Kekskekeke

Step-by-step explanation:njbnmmk

Answer:

It should be 7! :)

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

50 points!!! and BRAINLIEST IF CORRECT
An investment banker is responsible for investing a customer’s money into the greatest interest earning account. The banker has the following options for his customer’s investment:

Account A:
interest rate = 8%
term of investment = 8 years
interest compounded annually Account B:
interest rate = 7%
term of investment = 10 years
interest compounding continuously
Which account, A or B, will earn the customer the greatest amount of interest on his $50,000 investment? In your final answer, include all of your calculations.

Answers

Answer: account b

Step-by-step explanation:

account A will give 92 thousand dollars

account B will give 100 thousand dollars

I put it in a table

Answer:

SEE ANSWER BELOW

Step-by-step explanation:

A. (formula A=P(1+r/n)^nt

P=50,000(1+.08/1)^nt

P=50,000(1+.08)^nt

P=50,000(1.08)^nt

P=50,000 • 1.85

P=92,546.5

B. (formula A=Pe^rt

P=50,000e7 • 10

P=50,000 • 7

P=50,00 •2 .013

P=100689.64

B saves more

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