1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wolverine [178]
3 years ago
9

Calories burned varies directly to miles run. Dustin burns 190 calories for every 2 miles he runs. Part 1: Find the value of k.

Part 2: Write the equation for the direct variation. Part 3: Find how many calories Dustin will burn after running 7 miles.
Mathematics
1 answer:
Temka [501]3 years ago
5 0

Answer:

C = km

k = 95

C = 665

Step-by-step explanation:

Calories burned varies directly to miles run.

Let

C = calories burned

m = miles

C = km

Dustin burns 190 calories for every 2 miles he runs

C = 190

m = 2

C = km

190 = k2

Divide both sides by 2

k = 95

equation for the direct variation.

C = km

Find how many calories Dustin will burn after running 7 miles.

C = ?

m = 7

k = 95

C = km

C = 95 × 7

= 665

You might be interested in
How many times can 10 go into 44
Nitella [24]
4 times because if you count 10, 20, 30, 40, so it has to be 4
5 0
2 years ago
Read 2 more answers
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.
mr Goodwill [35]

9514 1404 393

Answer:

  3362 ft²

Step-by-step explanation:

As we saw in brainly.com/question/22284853, the long side of the area will be half the length of the fence: 82 feet. The remaining two sides will be 41 feet each, so the largest area that can be enclosed is ...

  A = LW

  A = (82 ft)(41 ft) = 3362 ft²

7 0
3 years ago
Translate to equation<br> Two times the number which is three less than X is eight
GrogVix [38]
I’m not sure, you’re not elaborating enough to this equation. Are you sure you’re not missing a phrase of some sort?
8 0
2 years ago
Read 2 more answers
Anja simplified the expression StartFraction 10 x Superscript negative 5 Baseline Over Negative 5 x Superscript 10 Baseline EndF
Gwar [14]

The mistake that Anja made during the simplification of the considered expression is given by: Option C:  She subtracted the coefficients instead of dividing them

<h3>What are coefficients?</h3>

Constants who are in multiplication with variables are called coefficients of those variables.

For example, in 10x^2 we have 10 as coefficient of x^2

Those variables who have got no visible coefficient has 1 as their coefficient. Thus, x^2 has got its coefficient as 1. It is true since 1 multiplied with any number is that number itself.( x^2 = 1 \times x^2 )

<h3>What are some basic properties of exponentiation?</h3>

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c

For the considered situation, the expression that Anja is simplifying is:
\dfrac{10x^{-5}}{-5x^{10}}

Anja simplified it to \dfrac{15}{x^{15}}

She performed operations with variable 'x' correctly since

\dfrac{x^{-5}}{x^{10}} = \dfrac{1}{x^5} \times \dfrac{1}{x^{10}} = \dfrac{1}{x^{15}}

But coefficients will also get divided. Instead of dividing 10 by -5, she subtracted them (as 10 - (-5) = 10 + 5 = 15)

This was her mistake.

The correct simplification would be: \dfrac{10x^{-5}}{-5x^{10}} = \dfrac{10}{-5} \times \dfrac{x^{-5}}{x^{10}} = -2 \times \dfrac{1}{x^{15}} = \dfrac{-2}{x^{15}} = -2x^{-15}

Thus, the mistake that Anja made during the simplification of the considered expression is given by: Option C:  She subtracted the coefficients instead of dividing them

Learn more about exponent and bases here:

brainly.com/question/847241

4 0
2 years ago
What is the solution to this equation 2 x plus 10 = 28
TiliK225 [7]

Answer:

x=9

Step-by-step explanation:

2x+10=28

2x=18

x=9

8 0
2 years ago
Read 2 more answers
Other questions:
  • How many times does 8 go into 385?
    7·2 answers
  • Round 3.047 to the nearest hundredth
    14·1 answer
  • Show how to make ten to solve 13-7. Write in a number sentence. _-_-_-_-_=_
    8·2 answers
  • Manny was given the equation (x+2)(x-7)=0 and asked to find the zeros. The solutions he came up with were x=2 and x=-17.
    15·1 answer
  • What is the solution to the proportion?
    11·2 answers
  • Do the triangles have to be similar?
    9·1 answer
  • Kelly has 7 1/4 yards of rope. She cuts 3 inches off each end of the rope. Kelly will divide the remaining rope into 5 equal pie
    12·1 answer
  • When Mei does 17 push-ups and 6 sit-ups, it takes a total of 35 seconds. In comparison, she needs 41 seconds to do 20 push-ups a
    13·1 answer
  • Use the substitution method to solve the system of equations: y - 2x = 3; -X = y - 9. Write the answer as a point.
    11·1 answer
  • Tell which value of the variable, if any, is a solution to the equation.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!