Anna takes 2 minutes to perform each exercise of her workout routine at the gym. She has already been at the gym for 20 minutes and wishes to be there no longer than 1 hour in total. Anna wonders if she has time to do 18 more exercises.

(1.) Write an inequality to find the maximum number of exercises x Anna can perform without leaving the gym later than she planned.
(2.) Does Anna have time to do 18 more exercises. Explain.

Answers

Answer 1

Answer:

1. 20 + 2x ≤ 60

2. Yes, see explanation

Step-by-step explanation:

Let x equal the amount of exercises Anna can perform.

The inequality will look like this:

20 + 2x ≤ 60

Let's go over each of the values and why there in the equation.

20: The amount of minutes Anna has already spent in the gym

2: The amount of minutes per exercise

x: The amount of exercises Anna can perform

≤: The amount of exercises must be less than or equal to the amount of time Anna is willing to spend in the gym.

60: The amount of minutes in an hour; the amount of time Anna is willing to spend at the gym.

Now, plug in 18 for x for question 2.

20 + 2(18) ≤ 60

Evaluating 2*18, the inequality becomes 20 + 36 ≤ 60.

Evaluating 20 + 36, the inequality becomes 56 ≤ 60.

Since 56 is less than 60, we can determine that Anna has time to do 18 more exercises.


Related Questions

Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x – 2 points
4. What equation represents the area of the floor?

Answers

Answer:

(6x+5)(9x-2)

Step-by-step explanation:

Area = Length x Width

Answer:

54[tex]x^{2}[/tex] +33x - 10

Step-by-step explanation:

you have to use F.O.I.L.  First Outter Inner Last

(6x + 5)(9x - 2)

First (6x)(9x)         = 54 [tex]x^{2}[/tex]

Outter (6x)(-2)      = -12x

Inner (5)(9x)         = 45 x

Last (5)(-2)            = -10

combine middle terms

54[tex]x^{2}[/tex] +33x - 10

In the expression 16x + 2x – 5y + 17, which terms are “like terms”?

Also i didn't mean to say exam on last question, turns out it was a quiz, my bad it just has alot of questions over 4, it has 6.

Answers

the like terms are 16x and 2x

Answer:

16x and 2x have like terms

6% of x = 1.2; what is x

Answers

Answer:

x =20

Step-by-step explanation:

6% of x = 1.2

Change percent to decimal form

.06x = 1.2

Divide each side by .06

.06x / .06 = 1.2/.06

x =20

Answer is X=20 change % to a decimal

If a cube has a volume of 27mm3,
what is the length of one side?

Answers

Answer:

Step-by-step explanation:

Answer:

9mm

Step-by-step explanation:

since volume is l x w x h, you have to divide 27 by 3. you can do this because it is a cube

help pls!!!!!!!!!!!!

Answers

Answer:

w=9z

Step-by-step explanation:

For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!

Answer:

z = (1/9) w or w = 9z

Step-by-step explanation:

w = 18 , z = 2

if relationship is proportional than z = k (constant) *w

2 = k * 18 divide each side by 18

k = 2/18 = 1/9

What is the volume of the right cone below?

Answers

Answer:

The answer is A.

Step-by-step explanation:

You have to use the formula of volume of cone,

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :

Let r = 5 units,

Let h = 45 units,

[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]

[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]

[tex]v = 375\pi \: \: {units}^{3} [/tex]

Answer:

[tex]375\pi \: \: units ^{3} [/tex]

Answer A is correct.

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3} [/tex]

What is the slope of the line that passes through the points (3, 4) and (0,–2)?
Write your answer in simplest form.

Answers

Answer:

Slope = 1/2

Whole equation: y = 1/2x - 2

Step-by-step explanation:

Equation: y = mx + b

(3 , 4) and (0 , -2)

[tex]\frac{0 - 3}{-2 - 4} = \frac{-3}{-6} = \frac{1}{2}[/tex]

y = 1/2x + b

---------------------------------------------------------------------------------------------

-2 = 1/2(0) + b

-2 = b

A letter L with a height of 9 inches is drawn on the actual flag. What should be the height and inches of a letter L in the scale drawing? Explain plzzz....

Answers

Answer:

0.5 inch on the drawing

Step-by-step explanation:

The following information is missing:

The scale factor of the drawing to the actual flag is represented by the ratio 1:18.

This scale factor means that 1 inch on the drawing are equivalent to 18 inches o n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:

1 inch on the drawing / x inch on the drawing = 18 inches o n the actual flag / 9 inches o n the actual flag

x = 9/18 = 0.5 inch on the drawing

place holder for the question

Answers

The area should be 192. Since your formula to find the area is “ A= ( a+b) divided by 2 times h” your bases are 14 and 18, which equal to 16. Finally,multiplying 16 by your hight,12 is 192. 16x12=192

Answer:

The area of the trapozoid would be 192 inches.

Step-by-step explanation:

Here are the steps on how to find the area of a trapozoid.

Add the two bases together. 14 + 18 = 32Divide that by 2. 32/2 = 16Then lastly multiply that by the height. 16 x 12 = 192.

I hope I helped

brainliest would be appreciated.

Malik scores 24 goals in 8 soccer games. At that rate, how many goals will he sore in 15 games?

Answers

Answer:

45 goals

Step-by-step explanation:

You have the fraction 24/8

After you simplify it you get 3/1 (that’s the percentage of goals/games)

Supposing goals = x,

x/15 = 3/1

x= 45 goals

-1 3/7 • (-3 2/5)
Find the product simplify if possible

Answers

Answer:

6 4/5

Step-by-step explanation:

-1 3/7 • (-3 2/5)

Let's turn them both into fractions with no whole numbers to make this easier:

-10/7 • -17/5

Now we can multiply straight across much easier!

170/35 (the negatives canceled each other out)

34/5 (simplified)

6 4/5 (answer)

Hope this helps! Please mark Brainliest :)

MARKING BRAINLIEST!!! PLSS HELP ASAPP!! Plz show all work!!!

Answers

Answer:

CCCC IDK the type of vehicle but its c

Step-by-step explanation:

43.2+ 4 x 2.8 + (4.4 x 4 x 1/2) = 63.2

Please! I need brainliest

Eric needs a $1,500 loan in order to buy a drone. Which loan option would cost him the MOST in interest?

A) A 24-month loan with a 6.25% annual simple interest rate.
B) A 30-month loan with a 6.00% annual simple interest rate.
C) A 36-month loan with a 4.00% annual simple interest rate.
D) A 42-month loan with a 3.75% annual simple interest rate.

Answers

Answer:

Pretty sure its A

Step-by-step explanation:

wait hold on im wrong

how do you delete an answer

It would be B

24 months- 6.25% x 2 = 12.5%
30 months- 6.00% x 2.5 = 15%
36 months- 4.00% x 3 = 12%
42 months- 3.75% x 3.5 = 13.125%

The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television. A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries 54, 81, 135. the third column is labeled average household age 40 or older with entries 23, 92, 115. the fourth column is labeled total with entries 77, 173, 250. Madigan converts the frequency table to a conditional relative frequency table by row. Television Viewing Method A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries W, Y, 0.54. The third column is labeled average household age 40 or older with entries X, Z, 0.46. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Which value should she use for X? Round to the nearest hundredth. 0.09 0.20 0.25 0.30

Answers

Answer:

For X they would have to divide the number from the first given chart for average household of the people that are ages 40 or under, which is 23, by the total internet, which is now 77.

Therefore, X = 23/77 = 0.2987, which would round to 0.30

Mark as brainliest please, I need a few more :)

Answer:

.30

Step-by-step explanation:

                 < 40      > 40    total

internet       54        23     77  

cable          81        92      173  

total            135       115     250

                 < 40      > 40    total

internet      w       x     1  

cable          y          z      1

total            .54       .46     1

x is 23 /77 =.29870

I NEED HELP QUICKKKKKKKKK PLZ
-1/2(-3y+10)

Answers

Answer:

I think its 1.5y-5

Step-by-step explanation:

-1/2×3y=1.5y

-1/2×3=-5

Please help me as soon as possible!

Answers

0.5 is the answer

......

Write the equation of the circle graphed below. Plssss helppp

Answers

Answer:

(5,0) You need to calculate the horizontal axis first wich is 5

Step-by-step explanation:

Answer:

(5,0)

Step-by-step explanation:

Would you mind giving me brainliest?

Simplify the expression

Answers

Look at the attached picture

Hope it will help you....

Good luck on your assignment

Answer:

for number  one the it is c

Step-by-step explanation:

(6-3)^2

3^2=9

because 3 times 3 equal to 9

it just like saying what  is the answer when you multiply the number by its self

Please, someone, help me quickly!!

Answers

Answer:

(B)

Step-by-step explanation:

The value of 9 is more than the value than 4.

Therefore,

9 > 4.

4 is not greater than 9, and nine is not less than four.

Brainilest Appreciated!

Find the 43rd term of each sequence.
1. 21,12,9,3,...

Answers

Answer:

-231

Step-by-step explanation:

21, 12, 9, 3,...

Below is image

Answer:

-357

Step-by-step explanation:

a + (n-1)d

21+(42)(-9)

21-378

14 adults and 20 children attended a piano recital. If two people are selected to receive door prizes at the recital, what is the probability that both will be children? Write your answer as a fraction and a decimal rounded to the nearest hundredth.

Answers

Answer: 0.34

Step-by-step explanation:

From the question, 14 adults and 20 children attended a piano recital. This means that there are 14 + 20 = 34 people who attended the paint recital.

If two people are selected to receive door prizes at the recital, the probability of selecting the first child will be 20/34 while the second child will be 19/33. To get the probability of both being children, we have to multiply the fractions

= 20/34 × 19/33

= 380/1122

= 0.34

Tomas selects one of these garments at random. Let AAA be the event that he selects a blue garment and let BBB be the event that he chooses a shirt.
Please help!!!

Answers

Answer:

can u explain it more lol

Step-by-step explanation:

1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

Thomas has 1 blue shirt

Thomas has 1 green shirt

Thomas has 1 blue hat

Thomas has 1 green scarf

Thomas has 1 blue pair of pants

Thomas has 1 green pair of pants

So, number of blue garments = 3

Number of shirts = 2

Total garments =6

What is probability?

Probability is the measure of the likelihood of an occurrence.

P(event) = Favorable outcomes / Total outcomes

P(blue garment) = 3/6 =1/2

P(shirt) = 2/6 =1/3

Hence, 1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

To get more about probability visit:

https://brainly.com/question/24756209

Factor out the Greatest Common Monomial Factor 8a + 86

Answers

Answer:

-1.12044185014

Step-by-step explanation:

i think this is the answer. i looked it up.

Answer:

2(4a + 43)

Step-by-step explanation:

8a + 86

2(4a + 43)

What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?
A. y+ 1 = 3(x + 10)
B. x + 1 = -3(y-10)
C. y + 1 = -3(x-10)
D. y + 1 = 3(x-10)

Answers

Answer:

C

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula.

The point slope formula is:

[tex]y-y_{1} =m(x-x_{1})[/tex]

where m is the slope, and (x1, y1) is the point given.

We know that the slope is -3, and the point given is (10, -1)

Therefore, our m is -3, x1 is 10, and y1 is -1.

y- -1 = -3(x-10)

y--1 is the same as y+1

y+1= -3(x-10)

Therefore, choice C is correct.

Will give brainliest answer

Answers

Answer:

Step-by-step explanation:

Diameter is 7cm

radius is diameter/2 = 7cm/2 = 3.5cm

Answer:

[tex]diameter = 7 \: \: cm \\ radius = 3.5 \: \: cm[/tex]

Step-by-step explanation:

[tex]d = 7 \: \: cm[/tex]

[tex]r = \frac{d}{2} \\ r = \frac{7}{2} \\ r = 3.5cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Evaluate.
4+ (3+5)*3 =

Answers

Answer: 28

Step-by-step explanation: Follwing PEMDAS, add the 3 and 5 in the parentheses first. You get 8, then multiply by 3, which gives you 24. Add 4 to 24 and it will give you 28.

Answer:

If i'm not mistaken, using PEMDAS which is parenheses, exponents, multiplication, division, adding and subtracting, the answer will be 28.

Step-by-step explanation:

3+5=8

8 * 3= 24

24 + 4= 28


A running track is 1/4 of a kilometre. What is the
total distance a runner travels if he goes three
times round the track?
How many times would you have to go round the
track to run 2 kilometres?
Willow has read 1/7 of the books in the library.

Answers

Answer:

If a runner went around the track 3 times, he would have ran 3/4 of a kilometre. He would have to run around the track 8 times to run 2 kilometres.

Step-by-step explanation:

Answer:He would have to go around the track 8 times to get 2 kilometers

Step-by -step explanation:

polynomial division
(4x^2 +7x +6) ÷(x+ 2)​

Answers

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]

So

[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]

That means the quotient is 4x-1 and the remainder is 8.

Simplify the expression

Answers

Answer:

 x^(3)y^(4)\sqrt(2)

Step-by-step explanation:

Asphere and a cylinder have the same radius and height. The volume of the cylinder is 64 m3.
hl
.

Answers

Answer:

r=21.3 h=32

Step-by-step explanation:

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