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3 years ago

The table below shows the relationship between the number of calories burned and the minutes of exercise.

Mathematics

1 answer:

sergejj [24]3 years ago

5 0

Answer:

Option B

Step-by-step explanation:

Since, number of calories 'C' burned is proportional to the number of minutes (m) given to the exercise,

C ∝ m

C = km

Where k is the proportionality constant.

From the table attached,

For C = 250 calories and m = 30 minutes,

250 = 30k

k = $\frac{250}{30}$

= $\frac{25}{3}$

Therefore, equation representing this situation will be,

C = $\frac{25}{3}m$

Option B will be the correct option.

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5.1.2 Exam: Semester 2 Exam

Nikolay [14]

Answer:

See attached picture to view the graph

Step-by-step explanation:

Start by analyzing how this average idea works:

If only one member goes to the trip, it will cost him/her $1000+$200 = $1200.

If two members go to the trip, then they will share the cost as per the following: ($1000+ $200 + $200 = $1400) which they will be dividing into two people, thus costing each of them $700.

Notice that the general function that represents such average will be given by: $f(x) = \frac{1000+200x}{x}$

Plot such function in the two dimensional plane, and you will get the asymptotic behavior shown in the attached image.

8 0

3 years ago

Hopefully that’s better :)))

mr Goodwill [35]

Answer: Top right, a rectangle has all the properties of a square

Step-by-step explanation: A rectangle does not have all the properties of a square.

8 0

3 years ago

Which equation is equivalent to<br><br> f(x) = 16x4 – 81 = 0?

Vesna [10]

Answer:

The equivalent expression is:

$16x^4-81=(4x^2-9)(4x^2+9)$

Step-by-step explanation:

We have been given the equation:

$f(x)=16x^4-81=0$

Equivalent expression can be computed by solving the expression ai its maximum.

We can factorize the given equation:

By using $a^2-b^2=(a+b)(a-b)$

Here, $a=4x^2,b=9$

Hence, we get the equation below:

$16x^4-81=(4x^2-9)(4x^2+9)$

Therefore, the equivalent expression is:

$16x^4-81=(4x^2-9)(4x^2+9)$

5 0

3 years ago

Read 2 more answers

Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of s

Sauron [17]

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

-2x + 6y + 3z = -31
-3y + 7z = 59
2z = 10

<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

$2z = 10\\z = 5$

let us substitute the value of z into equation (ii)

$-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8$

Let's substitute the value of x and y into equation (i)

$-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1$

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

brainly.com/question/14323743

6 0

2 years ago

Yuan has 5 quarts of broth. He uses 1/2 of the broth to make soup. Then, he uses 1/4 of the broth he has left to make gravy.

vovangra [49]

Answer:

1 7/8 quarts

Step-by-step explanation:

The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.

After using 1/2 of the broth for soup, the fraction remaining is ...

1 -1/2 = 1/2

The amount Yuan used for gravy is 1/4 of this, or ...

(1/4)(1/2) = 1/8 . . . of the original amount of broth

The total fraction Yuan used was ...

fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8

<h3>remaining</h3>

Then the fraction remaining is ...

fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.

The amount remaining is this fraction of the original amount:

(3/8)(5 quarts) = 15/8 quarts = 1 7/8 quarts . . . . remaining

7 0

2 years ago