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Kathleen B. for tutoring lessons in Newark OH WyzAnt Tutoring Tutor Tutor United States

Kathleen B.

Experienced Instructor: Elem Grades, Language Arts, Computer Skills

Newark, OH (43055)

Travel Radius 30 miles
Hourly Fee $35.00
Discount $29.75 - $33.25 Save up to 15% (i)

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Kathleen's Responses in WyzAnt Answers

Consecutive Numbers

When you subtract the third of three consecutive odd integers from 4times the first, the difference is 29. What are the three numbers.

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Asked by Dustin from Patriot, OH
20

Kathleen's Answer:

Hello, Dustin. Let's assign variables for the three consecutive odd numbers: x, x+2, and x+4. The first odd number is x, the second is 2 greater than x, and the third is 4 greater than x.

Now let's create an equation. 4x-(x+4)=29. In words, 4 times the first consecutive odd number, which is x, minus the third consecutive odd number, which is x+4, equals 29.

Now let's solve the equation.

4x-(x+4)=29  (First you have to add the third consecutive odd number to both sides of the equation.)

4x= 29 + x + 4  (Add 29 + 4.)

4x= 33 + x  (Now subtract x from both sides of the equation.)

3x=33  (Divide both sides of the equation by 3.)

x=11, x+2=13, x+4=15

The three consecutive numbers are 11, 13, and 15.

Hope this helps, Dustin.

After a 20% reduction, you purchase a new suit for $276. to find the original price of the suit.

After a 20% reduction, you purchase a new suit for $276. What was the price of the suit before the reduction?

A) First write an equation you can use to answer this question. Use x as your variable and express any percents in decimal form in the equation.

The equation is

B) Solve your equation in part [A] to find the original price of the suit.

Answer: The original price of the suit was dollars.

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Asked by Treena from Fox Island, WA
10

Kathleen's Answer:

Treena, if there was a 20% discount, then you paid 80% of the original price. Since we don't know the orginal price, we will assign it the variable x. Change 80% to a decimal. The equation would be:

.8x = 276   To get the variable by itself, divide each side by .8.

.8x/.8 = 276/.8

x = 345

The original price of the suit was $345.

Hope this is helpful.

math probabilities

Mr.s Fedge placed 10 candy bars, 50 pieces of hard candy, and 40 pieces of gum into a large bag.  Then she pick two pieces for each student without looking and put them in smaller bags.  Find all possible outcomes of the two pieces of candy each student could receive.

 

 

 

 

 

 

 

 

 

 

 

 

 

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Asked by Chad from Bellevue, OH
10

Kathleen's Answer:

There are 6 possible outcomes.

  1. candy bar and candy bar
  2. hard candy and hard candy
  3. gum and gum
  4. candy bar and hard candy
  5. candy bar and gum
  6. hard candy and gum

There are no other possible outcomes when selecting only two pieces of candy.

Hope this helps.

00

Kathleen's Answer:

1 1/2 + 2 5/6

This can also be done without converting to improper fractions. You must have like denominators to add or subtract fractions. The denominators in this problem are 2 and 6. What is the smallest denominator that is common to both 2 and 6? The answer is 6. So you want to write 1/2 with a denominator of 6. So how many 6ths are needed to equal 1/2? The answer is 3. Now we can write the problem like this:

     1 3/6

+   2 5/6

     3 8/6

But you cannot leave 8/6 as an improper fraction. Since there is one whole in 8/6, which is 6/6, the whole number is the mixed fraction is now 4 with 2/6. Simplify 2/6 to 1/3.

The answer in a mixed number is 4 1/3.

If this isn't clear, let me know.

If perimeter is 16 inches what is area

Find the area 

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Asked by Michelle from Katy, TX
00

Kathleen's Answer:

Michelle, the shape of the figure is necessary to determine the area. If the figure is a square with a perimeter of 16 inches, then each side of the square is 4 inchest in length. Area is found by multiplying the length x the width. For a square, the length and width are the same.

A = length x width

A = 4 x 4

A = 16 sq. in.

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