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
SVEN [57.7K]
3 years ago
5

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni

ng for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable. Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes?
Mathematics
2 answers:
77julia77 [94]3 years ago
7 0

Answer:

K-18 = 9(t-2)

Step-by-step explanation:

Softa [21]3 years ago
3 0

Find how fast she runs 1 km:

18/2 = 9 minutes.

So we know have K = 9t

Subtract 18 from both sides:

K-18 = 9t -18

Rewrite the right side:

K-18 = 9(t-2)

You might be interested in
Simplify. Write the expression using only positive exponents. 3d^−4⋅4d^4 PPPLLLLEEEASSSEEEEE
bixtya [17]

Answer:

d=0

Step-by-step explanation:

Because multiplication is commutative, we can rearrange the expression however we want. So, let's put the constant expressions together, and the variable expressions together:

(3 x 4) x (d^-4 x d^4)

The first term is easy enough: (3 x 4) = 12

For the second term, when exponent terms have the same "base" (in this case, d), the exponents can be added together. So, the second term yields d^(-4 + 4) = d^0. Any number raised to the zero power equals 1, EXCEPT for the sole number of zero. 0^0 is undefined, but any other number raised to the zero power equals 1.

So, if d equals any number other than zero, the expression becomes

(12) x (1) = 12

The best way to express the answer would be that the expression equals 12 except that it is undefined if d=0

5 0
3 years ago
Find the values of the sine, cosine, and tangent for ZA.<br><br> (TOP OF TRIANGLE IS (A))
Sloan [31]

\bigstar\:{\underline{\sf{In\:right\:angled\:triangle\:ABC\::}}}\\\\

  • AC = 7 m
  • BC = 4 m

⠀⠀⠀

\bf{\dag}\:{\underline{\frak{By\:using\:Pythagoras\: Theorem,}}}\\\\

\star\:{\underline{\boxed{\frak{\purple{(Hypotenus)^2 = (Perpendicular)^2 + (Base)^2}}}}}\\\\\\ :\implies\sf (AB)^2 = (AC)^2 + (BC)^2\\\\\\ :\implies\sf (AB)^2 = (AB)^2 = (7)^2 = (4)^2\\\\\\ :\implies\sf (AB)^2 = 49 + 16\\\\\\ :\implies\sf (AB)^2 = 65\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{AB = \sqrt{65}}}}}}\:\bigstar\\\\

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━

☆ Now Let's find value of sin A, cos A and tan A,

⠀⠀⠀

  • sin A = Perpendicular/Hypotenus = \sf \dfrac{4}{\sqrt{65}} \times \dfrac{\sqrt{65}}{\sqrt{65}} = \pink{\dfrac{4 \sqrt{65}}{65}}

⠀⠀⠀

  • cos A = Base/Hypotenus = \sf \dfrac{7}{\sqrt{65}} \times \dfrac{\sqrt{65}}{\sqrt{65}} = \pink{\dfrac{7 \sqrt{65}}{65}}

⠀⠀⠀

  • tan A = Perpendicular/Base = {\sf{\pink{\dfrac{4}{7}}}}

⠀⠀⠀

\therefore\:{\underline{\sf{Hence,\: {\pmb{Option\:A)}}\:{\sf{is\:correct}}.}}}

4 0
2 years ago
Pleasee help!!! (brainlest) (15 points)
USPshnik [31]
-1400 + 800 - 350 = - 950 meters
5 0
3 years ago
Read 2 more answers
The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees by the definition of supplementa
S_A_V [24]

 Supplement Postulate? they are supplementary. 



4 0
3 years ago
What is the answer to -5 + 1/2?
Tema [17]

Answer:

-4 1/2 or -4.5 or -9/2

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 3 times the sum of 1/3 of a number and 8 is 11
    12·1 answer
  • 108.94 divided by 8.5
    7·2 answers
  • The standard IQ test is designed so that the mean is 100100 and the standard deviation is 1515 for the population of all adults.
    13·1 answer
  • Who number is 60 and one of the numbers is seven less than the other number what are the numbers?
    5·1 answer
  • Jack and Nina are graphing two equations on a coordinate grid. Jack has graphed the equation y = 2x. If Nina graphs y = 5x, wher
    8·2 answers
  • 4 ounces of Doritos for $1.20 or 16 ounces of potato chips for $4.40
    6·1 answer
  • Evaluate (1002 - 187)<br>Given that 3 x 91+x=27*. find x​
    11·2 answers
  • Guess the car<br> Hint**uncommon**
    15·2 answers
  • Is it Substitution or linear combination?​
    15·1 answer
  • Uh yeah the answer is 20 1/12 but could you tell me the step by step process for this
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!