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
yulyashka [42]
3 years ago
12

Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours,

what equation could be used to determine how long it will take bonnie to do the job alone
Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

Step-by-step explanation:

Let the number of hours Nick does the job alone to be x - 3 hours

Hence, in 1 hour, Nick has done 1/x - 3

Together they complete the job in 9 hours

Hence, let's represent the job as 1

9/x + 9/x - 3 = 1

Multiply through by (x)(x-3)

9(x- 3) + 9(x) = 1

9x - 27 + 9x = (x)(x-3)

-27 = x² - 3x

x² - 3x +27 = 0

You might be interested in
G(x) = 4x + 3; Find g(10)
adelina 88 [10]

Answer:

43

Step-by-step explanation:

g(x)=4x+3

plug in 10

g(10)= 4(10)+3

      = 40+3

      = 43

8 0
3 years ago
Read 2 more answers
What is 24.7832 rounded to
Margaret [11]

Answer:

2,500 cents

I hope this helps!

4 0
3 years ago
Read 2 more answers
For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.
iragen [17]

Answer:

-\frac{7}{3}

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

m=\frac{f(b)-f(a)}{b-a}

where

m is the average rate of change

a is the first point

b is the second point

f(a) is the function evaluated at the first point

f(b) is the function evaluated at the second point

We want to know the average rate of change of the function f(x)=0.5^x-6 form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, a=-3 and b=0.

Replacing values

m=\frac{f(b)-f(a)}{b-a}

m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}

m=\frac{1-6-(8-6)}{3}

m=\frac{-5-(2)}{3}

m=\frac{-5-2}{3}

m=\frac{-7}{3}

m=-\frac{7}{3}

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is -\frac{7}{3}

4 0
3 years ago
the side of a triangle are in the extended ratio of 3:2:4 if the length of the shortest side is 6cm what is the length of the lo
Nat2105 [25]
In the ratio, the numbers are 2 for the shortest side, 3 for the middle sized side, and 4 for the longest side.

2 is to 6 cm as 4 is to x

2/6 = 4/x

2x = 4 * 6

2x = 24

x = 12

Answer: The longest side measures 12 cm.
7 0
3 years ago
ABC is formed by two tangents intersecting outside of a circle. If minor arc AC = 98°, what is the measure of ∠ABC?
gregori [183]
It's 82 degrees. Subtract your minor arc (98) by 360 to get your major arc, which is 262. Then, subtract 98 (minor arc) from 262 (major arc), which gives you 164. Finally, divide 164 by 2 to get angle ABC.
8 0
3 years ago
Read 2 more answers
Other questions:
  • WHOEVER ANSWERS IT'S FIRST GETS THE BRAINLIEST!!!! PLEASE HELP!!
    14·1 answer
  • 16.54 as a mixed number
    13·1 answer
  • Five pulse rates are randomly selected from a set of measurements. The five pulse rates have a mean of 65.4 beats per minute. Fo
    13·1 answer
  • There are approximately 2.6 million deaths per year in country A. Express this quantity as deaths per minute.
    5·2 answers
  • What is the mass of a 350 cm cubed sample of pure silicon with a density of 2.336 g/cm cubed?
    9·1 answer
  • Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?
    7·1 answer
  • Could someone help me on this question ? ( correct answers only )! :)
    14·2 answers
  • Which of the following graphs the equation. <br> Y=1/3x -2
    8·1 answer
  • Consider the following binomial experiment:
    6·1 answer
  • Solve for x.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!