When James spent 10 10​ minutes doing push-ups and 40 40​ minutes swimming, his fitness app said that he burned 363 363​ calories. Similarly, when he spent 40 40​ minutes doing push-ups and 180 180​ minutes swimming, the app said that he burned 1625 1625​ calories. Let � p​ and � s​ represent the calories per minute that James burns while doing push-ups and swimming, respectively. Write a system of equations to describe the situation above. Enter the equations below, separated by a comma. ​How many calories per minute does James burn while doing push-ups? Round your answer to one decimal place. ​How many calories per minute does James burn while swimming? Round your answer to one decimal place.

Answers

Answer 1
Answer: To solve this problem, we need to set up a system of equations based on the given information.
Let's start by defining the variables:
- Let 'p' represent the calories per minute that James burns while doing push-ups.
- Let 's' represent the calories per minute that James burns while swimming.
Based on the first scenario where
James spent 10 minutes doing pushups and 40 minutes swimming, and burned 363 calories, we can set up the equation:
X
10p + 40s = 363
Similarly, based on the second scenario where James spent 40
minutes doing push-ups and 180 minutes swimming, and burned 1625 calories, we can set up the equation:
40p + 180s = 1625

Now, we have a system of equations:
10p + 40s = 363
40p +180s = 1625
To find the values of 'p' and 's', we can solve this system of equations.
By solving the system of equations, we can find the values of 'p' and 's', which represent the calories per minute that James burns while doing push-ups and swimming, respectively.

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Solve for the indicated variable. Use whichever method seems easiest.(2y+3x)^2=9 for y

Answers

(2y+3x)^2=9\iff2y+3x=3\ \vee\ 2y+3x=-3\n\n2y=-3x+3\ \vee\ 2y=-3x-3\n\ny=-(3)/(2)x+(3)/(2)\ \vee\ y=-(3)/(2)x-(3)/(2)
(2y+3x)^2=9 \n \n √((2y+3x)^2)=\sqrt9\n \n 2y+3x=3\n \n 2y=3-3x\n \n \boxed{y=(3-3x)/(2) }

Why is 1/6 greater than 1/8 but less than 1/3??

Answers

1/6 is greater than 1/8 but less than 1/3 because: think of 1 slice taken away from a pizza with 6 slices, now think of 1 slice taken away from a pizza with 8 slices. Do the same with the last pizza. Think how much space was taken away from each pizza.
An easy way to see us cross multiply
If you do 1/6 has the higher number 8>6
For next one 1/3 has the greater number 3<6

(3x²y³)(-5xy^{4}z)When multiplying the variables, do you multiply the x by the x next to the y^{4}z, and the y with the y^{4}? I asked my teacher this question for a similar problem and he said not to. When I asked my dad for help with this problem, he said that you do and the answer is -15x^{3}y^{7}z. Which method is correct?

Answers

remember
x^m=x times itself m times

REMEMBER THAT MULCTIPLICATION IS COMMUTATIVE
a(bc)=(ab)c


so basically
(abc)(3ac)=a*b*c*3*a*c=a*a*c*c*b*3=3a^2bc^2
group and regroup and move around


so in your problem
(3x^2y^3)(-5xy^4z)=
(3)(x^2)(y^3)(-5)(x)(y^4)(z)=
(3)(-5)(x^2)(x)(y^3)(y^4)(z)=
(-15)(x^3)(y^7)(z)=
-15x^3y^7z

The director of a museum recorded the number of students and adult chaperones in several school groups visiting the museum. She organized the data in a scatter plot, where x represents the number of students and y represents the number of adult chaperones. Then she used a graphing tool to find the equation of the line of best fit: y = 0.123x + 5.397. Based on the line of best fit, approximately how many students are predicted to be in a school group with 20 adult chaperones? A. 8 B. 119 C. 157 D. 206

Answers

Answer:

b. 119

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I’m having a hard time understanding substitution. Please help!

Answers

b_1=(2A)/(h)-b_2

Step-by-step explanation:

Given expression is;

A=(h(b_1+b_2))/(2)

Solving for b_1

Multiplying both sides by 2

2*A=(h(b_1+b_2))/(2)*2\n2A=h(b_1+b_2)

Dividing both sides by h

(2A)/(h)=(h(b_1+b_2))/(h)\n(2A)/(h)=b_1+b_2

Subtracting b_2 from both sides

(2A)/(h)-b_2=b_1+b_2-b_2\n(2A)/(h)-b_2=b_1\nb_1=(2A)/(h)-b_2

b_1=(2A)/(h)-b_2

Keywords: division, subtraction

Learn more about subtraction at:

#LearnwithBrainly

What is the answer? first corret answer will get branliest

Answers

Answer:

the second one I believe as they have the same shape and size

Answer:

oop

Step-by-step explanation: