Solve the equation
- 1
- m - 7 = 5
3

Answers

Answer 1
Answer:

1/3m-7=5

One solution was found :

m = 36
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

1/3*m-7-(5)=0

Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

1
((— • m) - 7) - 5 = 0
3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m - (7 • 3) m - 21
——————————— = ——————
3 3
Equation at the end of step 2 :

(m - 21)
———————— - 5 = 0
3
Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(m-21) - (5 • 3) m - 36
———————————————— = ——————
3 3
Equation at the end of step 3 :

m - 36
—————— = 0
3
Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

m-36
———— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
m-36 = 0

Solving a Single Variable Equation :

4.2 Solve : m-36 = 0

Add 36 to both sides of the equation :
m = 36

One solution was found :

m = 36

I happen this help

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This graph shows a proportional relationship.What is the constant of proportionality?
Enter your answer in the box.

Answers

Hey, this is worked out the same way as the last problem you posted!

Remember that constant of proportionality is slope...

(y2-y1) ÷ (x2 -x1)

(225 - 135) ÷ (5 - 3)

90 ÷ 2

45

The constant of proportionality is 45

Need help ASAP What’s the area of a sum

Answers

I believe the answer to you question is going to be 33x^2-50x+8.

Hope this helps!!:))
The answer is C.) or the third one

30 points!!!!!A lawn sprinkler spins in a circle. The sprinkler covers a radius of 4 feet. Which choice is the closest to the area of lawn that the sprinkler can cover?

Answers

The area is about 50.27
Aarea of a circle equals pie r squared so 4 x 4= 16 and 16 x pie =50.27

While on vacation, Rosa stopped at a souvenir shop to buykeychains and refrigerator magnets for family members and
friends. Keychains cost $2 each, and refrigerator magnets cost $1
each. Let x represent the number of keychains that Rosa bought,
and let y represent the number of refrigerator magnets.
Rosa bought 12 items and paid $18 more for the keychains than
for the refrigerator magnets.

Answers

9514 1404 393

Answer:

  • 10 keychains
  • 2 magnets

Step-by-step explanation:

We assume you want to know how many of each item Rosa bought.

The problem information lets us write two equations:

  x + y = 12

  2x - y = 18

Adding the two equations, we get ...

  3x = 30

  x = 10 . . . . . divide by 3

  y = 12 -x = 2 . . . find y

Rosa bought 10 keychains and 2 magnets.

A population of bacteria is initially 2,000. After three hours the population is 1,000. Assuming this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t).

Answers

Final answer:

The exponential function representing the bacteria population after t hours is f(t) = 2000 * e^(ln(0.5)/3 * t).

Explanation:

To find the exponential function that represents the size of the bacteria population after t hours, we can use the formula N = N0 * e^(kt), where N0 is the initial population, e is Euler's number (approximately 2.71828), k is the growth/decay constant, and t is the time in hours.

In this case, the initial population N0 is 2,000 and the population after 3 hours is 1,000. Plugging these values into the formula, we get:

N = 2000 * e^(3k) = 1000

Solving for k, we find k = ln(0.5)/3. Therefore, the exponential function representing the bacteria population after t hours is f(t) = 2000 * e^(ln(0.5)/3 * t).

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Final answer:

The exponential decay function representing the bacteria population after t hours is f(t) = 2000 × 0.5^(t/3), where t is the number of hours passed.

Explanation:

The student has observed a population of bacteria decreasing from 2,000 to 1,000 over three hours and seeks an exponential function to model the decay of the population over time, expressed as f(t). Since the population is halving every three hours, we can represent this with the function f(t) = 2000 × 0.5^(t/3), where 2000 is the initial population, 0.5 represents the halving, and t is the time in hours. The exponent (t/3) is used because the halving occurs every three hours.

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Use the figure to complete the statements.The area of the base, B, of the pyramid is cm2.
The volume of the pyramid is cm3.asap

Answers

Answer:

The area of the base, B, of the pyramid is  96  cm2

he volume of the pyramid is 320  cm3.

Step-by-step explanation:

Answer:

96 320

Step-by-step explanation: