At the reunion, they have a hot dog eating contest. Michael ate 3 more hot dogs than half as many as Crystal. Eric ate twice as many hot dogs as Michael. Write an algebraic expression to represent how many they each ate. If Crystal ate 12 hot dogs, how many did they all three eat in total?

Answers

Answer 1

Answer: 39 hot dogs

M= 3 + half of C , E= 2 × M , C= 12

Step-by-step explanation:

M= 3 + (half of C=12÷2) 6= 9

E=2×9=18

total= 12 + 9 + 18= 39


Related Questions

Round 19.432 to the nearest whole.

Answers

19:))))))))))))))))))))))))))))))))))

this is what my techer told me to do "Show a different way to solve 99x76"

Answers

Answer:

I think it's 76×99

Step-by-step explanation:

hope it helps

please help! circled numbers only. tysm, ILL MARK BRAINLIEST!

Answers

2. 4 2/5
4. 6 3/8
6. 4 5/12
8. 2 1/3
10. 24 2/3
12. 7 5/6
14. 33/5
16. 102/11
18. 81/5
20. 163/7
22. 1295/6
24. 1329/16

Answer:

2) 4 and 2/5

4) 6 and 3/8

6) 4 and 5/12

8) 2 and 1/3

10) 24 and 2/3

12) 7 and 5/6

14) 33/5

16) 102/11

18) 81/5

20) 163/7

22) 1295/6

24) 1329/16

Step-by-step explanation:

Hope this helps! Pls give brainliest!

sec^2 (pi/2 - x) * [sin^2 (x) - sin^4 (x)]

Answers

Answer:

Explanation:

Identity:  sec2θ=1+tan2θ

sec2(π2−x)−1=1+tan2(π2−x)−1

=tan2(π2−x)

Identity: tan(π2−θ)=cotθ

=cot2x

The formula for the area of a trapezoid is A=1/2(b1+b2)h. Solve the equation for b1

Answers

2A=b1 +b2
So
b1= 2A-b2

How do I simplify (9 square 3-4 square+2)-(x square 3+3 square 2 +1

Answers

Answer:

8x³ - 3x² - 4x + 3

Step-by-step explanation:

first, eliminate the parenthesis. you can just drop the first set, but you have to distribute the negative through the second set.

9x³ - 4x + 2 - x³ - 3x² +1

then combine like terms (terms with the same exponent)

8x³ - 4x + 3 - 3x²

then put it in the correct order

8x³ - 3x² - 4x + 3

Please find the value of X

Answers

Answer:

x = 116°

Step-by-step explanation:

since l and m are parallel lines

by property

116° = x

4^3 • 5^3 and 20^3, Are the expressions equivalent? Yes or no?

Answers

Answer:

Yes

Step-by-step explanation:

4³ × 5³

(4 × 5)³

=20³

Both are equivalent

Hey there!

4^3 * 5^3 = ?

4^3

= 4 * 4 * 4

= 16 * 4

= [64]

5^3

= 5 * 5 * 5

= 25 * 5

= [125]

125 * 64

= [8,000]

20^3

= 20 * 20 * 20

= 400 * 20

= 8,000

8,000 = [8,000]

Therefore, this statement is TRUE so your answer is: [YES]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

over 2 days, students completed a math test. in the first test. there were 50 questions, and one student got 39 questions correct. which percent equation correctly represents this situation?​

Answers

Answer:

78%

Step-by-step explanation:

39/50 x2 → 78/100 so 78%

If L ll m, solve for x

Answers

Answer:

x = 26

Step-by-step explanation:

1. First, we should realize that the angle with 5x + 7 and the angle with 8x - 71 are alternate exterior angles, so they're congruent.

This means that 5x + 7 = 8x - 71

2. (Solving)

Step 1: Subtract 8x from both sides.

[tex]5x + 7 - 8x = 8x - 71 - 8x[/tex] [tex]-3x + 7 =-71[/tex]

Step 2: Subtract 7 from both sides.

[tex]-3x + 7 - 7 = -71 - 7[/tex] [tex]-3x = -78[/tex]

Step 3: Divide both sides by -3.

[tex]\frac{-3x}{-3}=\frac{-78}{-3}[/tex] [tex]x = 26[/tex]

Step 4: Check if solution is correct.

[tex]5(26)+7=9(26)-71[/tex] [tex]130 + 7 = 208 - 71[/tex]  [tex]137 = 137[/tex]

Therefore, x = 26.

A farmer wants to create a rectangular pen with an area of 16 m2 using the least amount of fencing. He should build the pen in the shape of a square.

Question 17 options:
A) True
B) False

Answers

The answer is:
B. False

My sis is having a hard time simplifying a problem. I'm not good at simplifying myself So I cant help her ):P

simplify 48 divided by 2 x 4

Answers

3 x 2 x 2 x 2 x 2 / 2 x 2 x 2

48 / 2 x 4

[48 can be simplified to 24 x 2 and 4 can be simplified to 2 x 2]

24 x 2 / 2 x 2 x 2

[24 can be simplified to 12 x 2]

12 x 2 x 2 / 2 x 2 x 2

[12 can be simplified to 6 x 2]

6 x 2 x 2 x 2 / 2 x 2 x 2

[6 can be simplified to 3 x 2]

3 x 2 x 2 x 2 x 2 / 2 x 2 x 2

Use the graph below to find the x- and y-intercepts.

x -intercept : 2 ; y- intercept : 6

x-intercept: - 3 ; y - in intercept: 6

x-intercept : 6 y- intercept : -3

x-intercept : 6 y - i intercept : 2

Answers

Answer:

the y intercept is -3

the x intercept is 6

looks like your 3rd answer listed.

A balloon is being inflated mechanically in such a way that the volume is increasing at a constant rate of 15 cm3 /s. If the volume of the balloon was originally 30 cm3, determine the average rate of change of the volume of the balloon with respect to the radius of the balloon, to the nearest centimetre cubed per centimetre, between 0 s and 10s, and between 10 s and 20 s.Discuss the following question:Is the rate of change of volume with respect to radius constant?

Answers

The magnitude of the volume of the balloon increases at a faster rate than

the radius of the balloon.

The rate of change of the volume of the balloon with respect to radius is not  constant.

Reasons:

The rate at which the volume of the balloon is increasing, [tex]\dfrac{dV}{dt} = 15 \ cm^3/s[/tex]

The initial volume of the balloon, V = 30 cm³

The rate of change of the volume of the balloon with radius is given as follows;

[tex]\dfrac{\Delta V}{\Delta r}= \dfrac{V_2 - V_1}{r_2 - r_1}[/tex]

[tex]Volume \ of \ the \ balloon, \ V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]

[tex]V = 30 + \dfrac{dV}{dt} \times t[/tex]

∴ V = 30 + 15·t

At t = 0, V = 30 cm³

Where;

[tex]r =\sqrt[3]{ \dfrac{3 \cdot V}{4 \cdot \pi} }[/tex]

When V = 30

[tex]r =\sqrt[3]{ \dfrac{3 \times 30}{4 \cdot \pi} } \approx 1.93[/tex]

The radius, r ≈ 1.93 cm.

At t = 10 s., we have;

V = 30 + 15 × 10 = 180

[tex]r =\sqrt[3]{ \dfrac{3 \times 180}{4 \cdot \pi} } \approx 3.5[/tex]

At t = 20 s., we have;

V = 30 + 15 × 20 = 330

[tex]r =\sqrt[3]{ \dfrac{3 \times 330}{4 \cdot \pi} } \approx 4.29[/tex]

Therefore;

Between 0 s. and 10 s., we have;

[tex]\dfrac{\Delta V}{\Delta r}=\dfrac{180 - 30}{3.5-1.93} \approx 96[/tex]

Rate of change of the volume of the balloon with respect to the radius of the balloon to the nearest centimeter, between 0 s and 10 s is 96 cm³/cm.

Between 10 s. and 20 s., we have;

[tex]\dfrac{\Delta V}{\Delta r}=\dfrac{330 - 180}{4.29 - 3.5} \approx 190[/tex]

Between 10 s. and 20 s. the rate of change is approximately 190 cm³/cm.

Therefore;

The rate of change of the volume of the balloon with respect to radius is not constant, but increases as the volume of the balloon increases.

Learn more here:

https://brainly.com/question/13489213

what is the answer to the equation 5x+10=25

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

5x+10=25

you want x to be by itself

5x=15

so subtract 10 from both sides

then dived 5 from 15

x=3

rearrange to make x the subject

[tex]y=\frac{3x-2}{x+1}[/tex]

please i need for hwk for exam

Answers

Step-by-step explanation:

Given equation :

y = 3x - 2 / x+1

for subject x

» x = - 2 + y -3+ y

Six plus -2 times a number is the same as 26 plus six times the same number.

Answers

Step-by-step explanation:

let the number be x

and according to question,

six + 2 times a number = 2x + 6

26 + 6 times a number = 6x + 26

2x + 6 = 6x + 26

-6x + 2x = 26 - 6

-4x = 20

x = 20/4 = 5

x = 5

therefore, the number is 5.

hope this answer helps you dear...take care and may u have a great day ahead!

I need help with these

Answers

Answer:

The graph is linear and shaded below the line.

Step-by-step explanation:

It looks like the graph is linear, since the line is straight and continues on forever in both directions. It's not quadratic or absolute value, since quadratic graphs are curved and absolute value graphs branch off in two directions.

If you look at the Desmos graph attached, the shade is below the line, not above the line.

Finally, (0, 0) is not a solution since this point is not part of the shaded section of the graph.

Hopefully this helps! If you need further clarification, let me know!

Please help!!! Last question I have

(Will mark most Brainly)

Answers

Answer:

Assuming they don't use the budget for anything else, the greatest number of people they may invite and still stay within the budget is 107 people.

Hannah made four withdrawals of $20 from her checking account. She also
wrote a check for $215. By how much did the amount in her checking account
change?
(Show answer )

Answers

20 *4 = 80, 215 +80 = 295.
Answer She took out 295 dollars or -295

You would do 20x4+215

Rates & proportional relationships: Quiz 1
Which equation has a constant of proportionality
equal to 10?
Choose 1 answer:
2
y = х
20
30
y = -
3
©
12
y = -
2
5
Y= T

Answers

Answer:

The answer is B. when you do 30 / 3 you get 10

Hey anyone help please n thank you :)

Answers

Answer:

(9, 9) this is where they intersect at

Step-by-step explanation:

Please help it’s due in tomorrow and I have no idea how to do it :).

Answers

Answer:

-2

Step-by-step explanation:

27^m÷243^n can be written as

3^3 ÷ 3^5

the base are both 3, make it one 3

3^3-5

= 3^-2

=3^a is 3^-2 and a is -2

(with work shown) what is 6396 / 15 then that answer -6000

Answers

Answer:

-5573.6

Step-by-step explanation:

what is x? 12=-4(-6x-3)

Answers

Answer:

Step-by-step explanation:

-4(-6x - 3) = 12

24x + 12 =12

24x = 0

x = 0

Rewrite the equation below so that it does not have fractions.
3/4x-2=2/5

Do not use decimals in your answer.

Answers

5x = 16

Step-by-step explanation:

¾ x - 2 = ⅖

¾ x = ⅖ + 2

¾ x = (2 + 10)/5

¾ x = 12/5 → (multiplied by 20)

20(¾)x = 20(12/5)

5(3)x = 4(12)

15x = 48 → (divided by 3)

5x = 16

what is 75 divided by 5

Answers

75 divided by 5 = 15

Answer: 75 / 5 = 15

Ways to write it:

75 ÷ 5 = 15

75 over 5 = 15

75⁄5 = 15

Calculate the average speed (in miles per hour) of Cassandra who runs a 18 mile marathon in 6 hours.

0 24 mi/hr
O 3 mi/hr
O 0.333 mi/hr
O 12 mi/hr

help plssss

Answers

Cassandra runs 3 miles.

Hope this helps! :D

For the return trip, Moses suggests taking a shortcut that will save 4 miles from the total 40-mile hiking distance. He calculates that they will need to average 6 miles per day over the 4 days coming back, because 4 - 4 - 6. Is Moses correct?​

Answers

Moses is incorrect.
40miles - 4 miles = 36 miles
36 miles/4 days = 9 miles/day

PLEASE HELP ME!! WILL GIVE BRAINLIEST PLEASEEE!!
In order to prove that the diagonals of a rhombus are perpendicular to each other using the following figure, which triangle congruency postulate is used?

Answers

Answer:

SSS Postulate

Step-by-step explanation:

took the test and got it right! good luck! God bless you!

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