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Gekata [30.6K]
3 years ago
13

A pencil decreases in size by 1/12 millimeters per day. The total change in size of the pencil is -7/9 millimeters. How many day

s has the pencil been decreasing?
Mathematics
1 answer:
AlekseyPX3 years ago
3 0

9  1/3 days

Step-by-step explanation:

  • If the total change in the size of the pencil is -7/9 millimeters. Then the actual change itself is 7/9 which is a positive value.
  • If each day the pencil changes by 1/12 millimeters, how many 1/12 millimeters are there in 7/9 millimeters. This is a division query;

7/9  ÷ 1/12 = 7/9 * 12/1 = 28/3

= 9 & 1/3 days

Learn More:

For more on fractions check out;

brainly.com/question/1878884

brainly.com/question/78672

#LearnWithBrainly

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Solve the simultaneous equations
Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2

There are three methods to solve simultaneous equations

  1. Elimination
  2. Substitution
  3. Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3

Putting y = 3 in equation 2

3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x =  6

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

7 0
3 years ago
A theater group is made up of 21 girls and 24 boys. Fifteen of the girls and 12 of the boys are also in a photography club.
bekas [8.4K]

Answer:

60%

Step-by-step explanation:

There are a total of 45 people 24 boys and 21 girl=45

27 of them are in the club 27 out of 45=60%

4 0
2 years ago
PLZ HELP ASAP One pump fills a tank 4 times as fast as another pump. If the pumps work​ together, they fill the tank in 20 minut
svp [43]
It takes the faster pump 12 minutes to fill the tank.

Since the faster truck can produce 60% more than the other truck. 60% of 20 minutes is 12.
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3 years ago
Simplify √5(8+3√6) using radicals
hichkok12 [17]
Your answer should be 34
3 0
3 years ago
Melissa Costouras obtains a $3,000 loan for darkroom equipment. She makes six monthly payments of $511.18. Determine the APR.
nasty-shy [4]

Using the simple interest formula, it is found that the APR for the loan is of 4.472%.

<h3>What is the simple interest formula and when it is used?</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

The parameters for this problem are:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

We solve the equation for r to find the APR.

A(t) = A(0)(1 + rt)

3067.08 = 3000(1 + 0.5r)

1 + 0.5r = \frac{3067.08}{3000}

1 + 0.5r = 1.02236

r = (1.02236 - 1)/0.5

r = 0.04472.

More can be learned about simple interest at brainly.com/question/25296782

#SPJ1

5 0
1 year ago
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