Mathematics Middle School

Use a five-step plan to solve the following word problem. Show all five steps in your response:



Doug is twice Anne's age. Doug is 34 years old. How old is Anne?




Doug is twice Anne's age. Doug is 34 years old. How old is Anne?

Answers

Answer 1
Doug is twice Anne's age. Doug is 34 years old. How old is Anne?
Represent the unknowns:  d for Doug, a for Anne.
Then d=34 years.
Doug is twice Anne's age, so d=2a.  But d=34 yrs, so 34 yrs = 2a.
Solve this for a:  a = 34 yrs   /  2    =    17 yrs 

Doug is 34, Anne is 17.

Related Questions

Mary and her dad shared one dozen brownies. 2/6 of them have nuts , which dad doesn't eat. How many brownies did dad not eat because they had nuts?

Answers

1/3 of the brownies.
He doesn’t eat 4 of them
Since one dozen is 12, you can multiple 2/6 by 2 to get 4/12 so 4 out of 12 is what he doesn’t eat

Find the length of each side

Answers

This can only be answered if we know that segments BG, CF, and DE are parallel. I don't see that written anywhere. I'll assume that is given.

To find GF:

AG is to AB as GF is to BC

AG/AB = GF/BC

20/16 = GF/12

5/4 = GF/12

4GF = 5 * 12

4GF = 60

GF = 15

To find FE:

AG is to AB as FE is to CD

AG/AB = FE/CD

20/16 = FE/8

5/4 = FE/8

4FE = 5 * 8

4FE = 40

FE = 10

Carmen, Reuben, and Bob have a total of $133 in their wallets. Bob has 3 times what Reuben has. Carmen has $8 more than Reuben. How much does each have?

Answers

So you will want to form a few equations. The first one is:
C+R+B=133
Then you will want to form an equation for Bob:
B=3R
Then, another for Carmen
C=R+8

Knowing this information, you can plug each in, solving for R.

R+8+R+3R=133      Now Solve
5R+8=133               Subtract 8 from both sides
5R=125                   Divide 5 from both sides
R=25                       Now substitute R in for Carmen and Bob equations.

R=25                        Reuben has $25
C=8+25                    Add
C=33                        Carmen has $33
B=3(25)                    Multiply
B=75                        Bob has $75

Check answer:

25+33+75=133
133=133

I hope this helps!

joseph is spending money daily and tory is earning money daily. which function represents joseph and which represents tory? explain your reasoning.

f(x)=4x+20 g(x)=80-2x

create a table of values for both

x f(x)
0
2
5
10
11

Answers

i cannot make a table but the one with subtraction is joseph's and the one with addition is tory's

solve for x. please show work

Answers

Those 2 angles makes up corresponding angles in parallel lines. Which means, both two angles equal to each other because this is a rule that exists when both of the lines are parallel to each other which is indicated with red arrows in the photo.
75 = 11x - 2
75 + 2 = 11x
77 = 11x
X = 77 / 11
X = 7
The answer is 7.

What is the value of p? 0.6441−(−0.29)=p

Answers

the value of P= 0.9341

Answer: p = 0.9341

Have a good day!

An architect makes a blueprint with a scale of one fourth inch equals 2 ft. Which will be the dimensions of the drawing of a warehouse room measuring 60 ft by 100 ft? Answer Options with 5 options A. 15 inches ''by 25 inches   '' B. 7.5 inches ''by 12.5 inches   '' C. 120 inches ''by 200 inches   '' D. 480 inches ''by 800 inches   '' E. 30 inches ''by 50 inches   ''

Answers

Facts: scale .25"=2'
room 60'×100'

Equation: 60/2=30×.25=7.5
100/2=50×.25=10.5

Answer: B

The new dimension in inches is 7.5 inches by 12.45 inches. Hence, option B is correct.

What is ratio?

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the given information in the question,

One fourth inch equal to 2ft.

Mathematically,

1/4 inch = 2ft

0.25 inch = 2ft

The given dimensions are 60 ft by 100 ft.

Now,

0.25 inch = 2ft

x inch = 60 ft

2x = (0.25 × 60)

x = 15/2

x = 7.5 inches

Then,

0.25 inch = 2ft

y inch = 100 ft

2y = 100 × 0.25

y = 25/2

y = 12.45 inches

To know more about Ratios:

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Put the following numbers in order from least to greatest 0.0579. 5. 0.5. 0.59. 0.0599. 0.05

Answers

I'm guessing the numbers are 0.0579, 5, 0.5, 0.59, 0.0599, & 0.05 (use commas not dots in future questions)
least to greatest.
0.05, 0.0579, 0.0599, 0.5, 0.59, 5

hope this helps
0.05, 0.0579, 0.0599, 0.5, 0.59, 5

Let a and b stand for two different rational numbers. If |a| > |b| then what else must be true?

Answers

a is farther from 0 then b is

Denise provides water for the runners at her schools 10K road race. She has a container that holds 678 ounces of water. How many 8-ounce cups can she fill with water?__________cups

Answers

divide total ounces by the amount each cup can hold

678 / 8 = 84.75

 so they can fill 84 cups

678 oz/ 8 = # of cups she can fill

678/8 = 84.75 

She can fill 84 cups 

hope this helps

The movie theater has 176 seats there are 9 roles of 18 sets plus and additional section of handcapped accessible seats

Answers

Final answer:

The question is asking about the number of seats in a movie theater with 9 rows of 18 seats each and an additional section of handicapped accessible seats. The total number of seats can be found by multiplying the number of seats in each row (18) by the number of rows (9) and adding the number of handicapped accessible seats.

Explanation:

The subject of this question is Mathematics. The question is asking about the number of seats in a movie theater, given that there are 9 rows of 18 seats each and an additional section of handicapped accessible seats.

To find the total number of seats in the theater, you can multiply the number of seats in each row (18) by the number of rows (9) and then add the number of handicapped accessible seats.

So the total number of seats in the theater is 9 rows x 18 seats/row + additional handicapped accessible seats.

How do I combine like terms? For example one problem is 32y + 5y = please explain.

Answers

Step 1: Combine the coefficients. 32y + 5y are coefficients. (means have the same letter basically)
SO 32y + 5y= 37y
You can't combine oranges with apples, just oranges with oranges and apples with apples. Think about it that way.

In this specific problem, the only thing you need to do is add those numbers together as they are like terms (both have y), you'd get 37y.

With a problem like 2 + 5x + 3 + x, you'd have to identify which are like terms and which aren't. The x's go together, and 2 and 3 go together. The result would be 5 + 6x, since you can't combine x and 5.

Hope I helped! :)

I am confused with this question. Can you help me?

Answers

In point-slope form, the equation of the line is
.. y -k = m(x -h) . . . . . . for slope m and point (h, k)

You have m = -7/2 and (h, k) = (8, -28), so the point-slope equation is
.. y -(-28) = (-7/2)*(x -8)
.. y +28 = (-7/2)x +28 . . . . simplify
.. y = (-7/2)x . . . . . . . . . . . . subtract 28
To put this into standard form, we can multiply by 2, then add 7x.
.. 2y = -7x
.. 7x +2y = 0 . . . . . . . . . . . the standard form equation you want

What is the value of 48x +35. When x=2

Answers

48x + 35
x = 2
plug in 2 for x
48(2) + 35
multiply 2 and 48 together
48 x 2 = 96
add the product (96) with 35
96 + 35 = 131
answer is 131


131 is your answer

hope this helps
48x + 35 = ?
48 x 2 + 35 
96 + 35 =
131
I hope this helps
Please make me brainliest

Simplify (4.5)(−9)(−1.8)

A. −729

B. −72.9

C. 72.9

D. 729

Answers

Answer:

72.9, The answer is 72.9...


Final answer:

The product of 4.5, -9, and -1.8 once simplified is 72.9, due to the rule that multiplication of two negative numbers gives a positive result.

Explanation:

The question asks you to simplify the multiplication of the numbers 4.5, -9, and -1.8. To answer this, we first multiply 4.5 and -9 to get -40.5. We then multiply -40.5 by -1.8. This is the basic principle of arithmetic which states that multiplication should be implemented from left to right.

Remember that multiplying two negative numbers gives a positive result, so -40.5 times -1.8 equals +72.9. Therefore, the answer to your question is C. 72.9. This falls under the subject of Mathematics, specifically the topic of multiplication and handling positive and negative numbers.

Learn more about Multiplication here:

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A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide. What is the area of the reduced carpet

Answers

6 feet because 8 / 12 reduces to 2 / 3 and you multiply 2 times 3
Hi there.

So, we've got the dimensions. 

l = 12, w = 8

We know that the width has been divided by 4. That means we also divide the length by 4. This gives us the new dimensions of:

l = 3, w = 2

A = lw 

3 · 2 = 6 ft²

Cheers~


A baker uses 30 grams of sea salt for each batch of bread. Sea salt comes in a 800 gram package. Which size package shoul the bake by so none is lef over?

Answers

a 2 liter bottle
because I just need a crown

what is 4018 divide by 82

Answers

the answer is of 4018 divided by 82 is 49
4018 / 82 = 49


Hope this helps

The Sharks have played 5 basketball games this season. Their scores are 65, 63, 67, 60, and 65. If they only score 30 points in their next game, what will happen to their MEDIAN score?

Answers

the median of the scores now is:

60 , 63 , 65 , 65 ,67

Median = 65

if the score 30, the median would be

30, 60 , 63 , 65 , 65 ,67

Median: 63 +65 = 128/2 = 64

The Median drops by 1

In their first five games their median would be 67 because it is the middle number. But if they score 30 points then you would have to add 67+60 and get 127. Then you divide 127 by 2 and get 63.5. The median would be changed to 63.5.

An angle is 6 more than five times its supplement. Whats the measure of the largest angle?

Answers

Complementary angles: two angles that add to 90°
Supplementary angles: two angles that add to 180° (x)

angle "y" : y= 5x+6
180= (5x+6) + x
180=6x+ 6
174=6x
x=29
180- 29= 151


Answer: 151°

the diagram shown, ∠6 measures 97 degrees. What is the measure of ∠5?

Answers

well, since there isn't a lot of information given I would assume they are parallel. in conclusion my answer would have to be 97 degrees for ∠5

Answer:

The dude above me is wrong!

Step-by-step explanation:

The Correct Answer would be 83 stay in school kids!

Please, please help!

Two straight lengths of wire are placed on the ground forming vertical angels if the measure of one of the angles formed is 72 degrees, what are the measures of the other three angles? Explain your answer.

Answers

They need to add to 180 degrees

108 * 72 = 108 degrees

How do you graph the function f(x)=−1/4x−2?

Answers

Welll the y-intercept is negative 2 so on the y axis the first point is negative 2. 1/4 is the rise over run so you would go up from your first point one unit and over to the left four units or vise versa down one unit and over to the right four units, or the image

What is the coefficient of the term x7y in the expansion of (x + y)8?

Answers

The coefficient means the number before the unknown so 8(x+y) would equal 8x+8y so the coefficient would be 8 and for x7y the coefficient of x is 1 because there is nothing infront of it and the coefficient of y is 7 

The sun produces 3.8x10^27 joules of energy per second. How much energy is produced in a year? (Note: a year is approximately 31,000,000 seconds.) Put it in scientific form.

Answers

If you're talking about the 'scientific notation', the answer would be (3.800000000000000000000000000, 26 zeroes.) 

Answer: About [tex]\approx1.178\times10^{35}[/tex]

Step-by-step explanation:

Given : The sun produces[tex]3.8\times10^27[/tex] joules of energy per second.

It is also given that a year is approximately 31,000,000 seconds.

In scientific notation , it can be written as [tex]3.1\times10^7[/tex]

Then , the amount of energy is produced in a year will be :-

[tex]3.8\times10^{27}\times3.1\times\times10^7\\\\=3.8\times3.1\times10^{27}\times10^7\\\\=11.78\times10^{27+7}\\\\=11.78\times10^{34}=1.178\times10^{35}[/tex]

Hence,  the amount of energy is produced in a year  [tex]\approx1.178\times10^{35}[/tex]

What is 2 (1/3) — -3 (2/3) = ?

Answers

2 (1/3) - -3 (2/3) = 6


I hope this helped you! c:

Jenna read 25 pages of a book in 30 minutes at the same rate how many pages can she read in 3 hours

Answers

• Convert 3 hours into minutes: 3 x 60(minutes in an hour) = 180 minutes
• Divide to see how many times 30 minutes goes into 180: 180 ÷ 30 = 6
• Multiply: 25 x 6 = 150 

So, Jenna can read 150 pages of a book in 3 hours. Hope this helps! :D

~PutarPotato

How do you write 5.8 as a percentage

Answers

Multiply 5.8 by 100 to convert to percent:

5.8 × 100 = 580 %
580%, hope this helps!

Diana's painting statue she has 7/8 of a gallon of paint remaining each student requires 1/16 of a gallon of paint how many statues can she paint

Answers

Easy, first turn the factions into deciamls, then so 1.16-7.8=6.64. So, 6.64

according to the law of conservation of energy, when a car uses 10,000J chemical energy from gasoline, how much energy will be transformed into sound,heat,and mechanical energy.

Answers

According to the Law of Conservation, 10,000 J of energy will be released and transformed into sound, heat, and mechanical energy. This is true because energy cannot be destroyed or created; it just transforms into some other type of energy.

Hope this helps!
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