Mathematics Middle School

A carpenter makes legs for 3-legged stools and 4-legged tables. He makes a total of 57 legs.

He could have made legs for how many 3-legged stools?

Answers

Answer 1
4 legged tables : x 3 legged stools : y x + y = 20 y= 20 - x 4x + 3y = 68 Replace y by 20 - x so we only have one letter 4x + 3(20 - x) =68 4x + 60 - 3x =68 x + 60 = 68 x = 8 To find y replace x by 8 y = 20 - 8 y = 12 So you have 8 four legged chairs and 12 three legged stools. Hope I helped!
Answer 2
19 legs for 3-legged stools

Related Questions

​1.​A parking lot has the shape of a rectangle. A scale drawing for the parking lot measures 6 cm by 20 cm. ​​The scale is 1 cm : 15 m. Find the area of the parking lot.

Answers

l*w=6*20
6*15= 90m
20*15=300m
l*w= 90*300=27000m <-- area

what is the median of 4, 6, 9, 11, 8, 13, 12

Answers

write the numbers in order first,
4, 6, 8, 9, 11, 12, 13
Middle number in sequence is the median, in this case median is 9.
1.) Put the numbers in order from Least to Greatest
4,6,8,9,11,12,13

2.) Take away the number that are for sure not the median.
4,6,8,9,11,12,13
6,8,9,11,12
8,9,11
9

3.) The median is 9

I have to determine the relationship between the x and y values but I can't figure it out. Plz help

Answers

it is 1  The value of correlation is always between -1.0 and +1.0.
so i hope this helps out let me know how it goes !

Diego says that the product of 0.51 x 2.427 will have five decimal places. is Diego correct.

Answers

Diego says that the product of 0.51 x 2.427 will have five decimal places. is Diego correct.yes he is right 

The product of 0.51 x 2.427 is 1.23777 will have five decimal places, therefore, Diego is correct

The product of a number simply means that we should multiply the number, therefore, we have to multiply 0.51 by 2.427 and this will be:

= 0.51 x 2.427 = 1.23777

Therefore, it has five decimal places and he's correct.

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350% as a decimal and as a mixed fraction

Answers

Generally, converting a percentage to a fraction involves dividing it by 100, as percents are values out of 100.
So we divide 350 by 100 to get decimal form: [tex]\frac{350}{100}=3.5[/tex]

As for mixed fractions, you will need to find a multiple of the denominator that is as close as possible to the fraction form of the percentage.
So here we have [tex]\frac{350}{100}[/tex]; to convert this from an improper number to a mixed number, we need to find the closest multiple of 100 to the numerator, 350.
That would be 3, since [tex]3\times100=300[/tex].
Therefore you will now have a fractional sum of  [tex]\frac{300+50}{100}[/tex]. As 300 divided by 100 is 3, that's the whole number part... the remaining 50 will go into the fractional part, giving you [tex]3\frac{50}{100}[/tex] or [tex]3\frac{1}{2}[/tex]


To convert a percent into a decimal you must move the decimal point 2 places to the left, and then drop the 0 since it is no longer of any value being on the right side of the decimal point.
 Therefore, the answer is 3.5 as a decimal.

To convert a percent into a mixed fraction, you first write down the percent divided by 100 like this: percent 100.
 Then, if the percent is not a whole number, multiply both top and bottom by 10 for every number after the decimal point.
Finally, simplify (or reduce) the faction.
 Therefore, the answer is 3[tex] \frac{1}{2}[/tex] as a mixed faction.

Alyson has 46 beads to make bracelets.Each bracelet has five beads.How many more beads does Alyson need so that all the beads she has are used?Explain

Answers

Let's try division first. 46÷5= 9 1/5. So, that doesn't work. 
Next, we will find the next multiple of five. This is 50. 46+4=50. Right now, Alyson can only make 9 bracelets. (5 x 9 =45) She needs 4 more to use all of her beads, making 10 bracelets.

Alyson needs 4 more beads so that she will be left with no remaining beads.

Alyson has 46 beads and each bracelet requires 5 beads. To find out how many more beads Alyson needs, we first divide the total number of beads she has by the number of beads per bracelet. This initial calculation is 46 divided by 5, which equals 9 with a remainder of 1. Since we cannot create a partial bracelet, we see that Alyson can make 9 complete bracelets with the beads she has, using up 45 beads (9 bracelets times 5 beads per bracelet). However, she is left with 1 bead.

To ensure there are no beads leftover, Alyson needs enough beads to make one more complete bracelet. Since each bracelet requires 5 beads, and she has 1 bead left after making 9 bracelets, she would need 4 more beads to make the 10th bracelet. Hence, Alyson would need to acquire 4 more beads to use all her beads without any remaining.

what is 5/3 to the power of 2

Answers

(5/3)= 1.667
1.667*1.667= 2.778
(5/3)^2 = (5/3)(5/3) Multiply top and bottom.

25/9 = 2 7/9


IF ANSWER IS CORRECT AND U ARE THE FIRST PERSON TO ANSWER U WILL BE MARKED AS BRAINIEST!!
What is 550,000 written in scientific notation?

Answers

The answer should be 5.5 * 10 to the 5th power.
5.5x10^5 is the correct answer

Which of these points are on the line that passes through (0,3)and 2,5?

Answers

y2-y1
-------- = slope = 1
x2-x1

Point slope formula:
y-3=1(x-0)

y=x+3.... just plug the X values in and see if they equal the Y values

What is the slope of the line in the graph?

Answers

The slope is 3/1.
Hope this helped

What is 56,392 rounded to the nearest ten thousand??

Answers

56392 rounded to the nearest ten thousand is 60,000
60,000 I think. Anyways I might be incorrect.

What is the unit rate for 768.57 m 41.1 h?

Round to the nearest tenth if necessary.

Enter your answer in the box.

Answers

18.7 mph its simple just use a calculator to divide and then just roud

The unit rate for 768.57 m in  41.1 h after using the formula is 18.7 m/h.

What is unit rate?

Unit rate means the amount rate for the unit quantity of some things, A person runs one mile every 10 minutes if he completes three miles in 30 minutes. The distance traveled in a given amount of time is expressed in miles per minute. The quantity of 1 is always used to denote the unit rate.

Given:

768.57 m in  41.1 h

Calculate the unit rate as shown below,

Unit rate = total distance / total time

Unit rate = 768.57 / 41.1

Unit rate = 18.7

Thus, the unit rate is 18.7 m/h.

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Karl drove 617.3 miles. For each gallon of gas, the cay can travel 41 miles.select a reasonable estimate of the number of gallons of gas Karl used. Mark all that apply.
1 1.5
2 1.6
3 15
4 16
5 159

Answers

# 3 15 gallons

Work: 617.3/41=15.056 
15.056 simplified is 15
therefore your answer is 15 gallons.

Answer:

The correct answers are 15 and 16.

Step-by-step explanation:

First we must assume the information.

We know that the total miles traveled is 617.3.

Every 41 miles, Karl spent 1 gallon of gas.

What we need to find out now is to estimate the total number of gallons of gas Karl used.

We will do it with the following equation:

If for 41 miles ------- 1 gallon

For 617.3 miles ------ x Gallon

41. x = 617.3 . 1

And we just have to clear the x:

X = 617.3 / 41

X = 15.05

Because they ask us for an approximate logic result, we can say that the correct options are 15 or 16 gallons of gas.

Write the equivalent fraction for 2/3

Answers

40/60 is a equivalent fraction to 2/3
40/60 is equal to 2/3

it cost $4.25 foe one pound of roast beef. how much will it cost to purchase 2.5 pounds of roast beef?round to the nearest cent

Answers

Since the price is $4.25 per one pound, you multiply the $4.25 by 2.5 pounds, giving you $10.63.

Cheyenne is making a recipe that uses5 cups of beans and 2 cups of carrots.Which combination below uses the same ratio of beans to carrots?

Answers

The ratio is 10 cups of beans and 4 cups of carrots. Therefore, option B is the correct answer.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, Cheyenne is making a recipe that uses 5 cups of beans and 2 cups of carrots.

Here, the ratio of cups of beans to cups of carrots is

5:2

Multiply both the sides by 2, we get

10:4

Therefore, option B is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Cheyenne is making a recipe that uses5 cups of beans and 2 cups of carrots. Which combination below uses the same ratio of beans to carrots?

A) 10 cups of beans and 3 cups of carrots.

B) 10 cups of beans and 4 cups of carrots.

C) 12 cups of beans and 4 cups of carrots.

D) 12 cups of beans and 35 cups of carrots.

Allana used Fraction 3 over 5 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 7 over 10 yards of fabric, and why? A.No, because the quotient of Fraction 1 and 7 over 10 Division signFraction 3 over 5 is 1 and 1 over 50 B.No, because the quotient of Fraction 3 over 5Division signFraction 1 and 7 over 10 is 1 and 1 over 50 C.Yes, because the quotient of Fraction 1 and 7 over 10 Division signFraction 3 over 5 is 2 and 5 over 6 D.Yes, because the quotient of Fraction 3 over 5Division signFraction 1 and 7 over 10 is 2 and 5 over 6

Answers

(1 7/10) / (3/5)
(17/10) / (3/5) =
17/10 * 5/3 =
85/30 = 
2 5/6........yes, because 1 7/10 divided by 3/5 = 2 5/6...answer C

Answer:

answer is C

Step-by-step explanation:

A boat travels at a constant speed. After 20 minutes, the boat has traveled 2.5 miles. The boat travels a total of 10 miles to a bridge.
a. How long does it take the boat to reach the bridge? Explain how you found it.

Answers

In order to find the speed at which the boat is traveling, we divide the distance it has traveled by the time elapsed:

2.5/20=0.125 miles/minute

Next, we want to find how long it took for the boat to travel 10 miles. Since it travels 0.125 miles every minute, we just divide:

10/0.125=80

Thus, it took 80 minutes for the boat to reach the bridge

A dog is leashed to the corner of a house with an 18 foot leash. How much running area does the dog have?

Answers

Find the area of 32 then you get it :)
If the dog were on a 15-ft leash tied to a stake in the ground 
out in the middle of a field, then he could cover every blade 
of grass in a 15-ft circle. The area of a circle is (pi R²), so 
he would have free range over (pi · 15²) square feet of area.

Sadly, he's not out in the middle of a field. He's tied to the corner 
of the house.  So he can't cover the whole circle, because the house 
blocks a quarter of the circle.  The dog only has access to

                       (3/4) of (pi R²)

                   =  (0.75) · π · (15²)

                   =  (0.75 · π · 225)  =  530 square feet  (rounded)
 

Which model represents 0.30 + 0.03?
A)a
B)b
C)c
D)d

Answers

The model that represents 0.30+0.03 is A.
Final answer:

The sum of 0.30 and 0.03 is 0.33. So, the correct model is the one that represents 0.33.

Explanation:

The question is asking which model represents the sum of 0.30 and 0.03 in decimal form. In terms of decimal addition, when we add 0.30 and 0.03 together, we follow the basic rules of adding decimals. Basically, we line up the decimals and add as if they were whole numbers. In this case, 0.30 and 0.03 sums up to 0.33. Therefore, the correct model is the one that represents the number 0.33.

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Pamela is planning to make a dress. She needs to buy 2 3/4 yards of fabric that cost 8$ per yard 1 2/3 yards of fabric that cost $6 per yard. How much will the fabric cost?? Please help. My mom won't help me and I really don't need my grades to go any lower...

Answers

So for the first type of fabric that costs $8 per yard, you first multiply the 8 by the 2 to get $16. Now we need to find 3/4 of 8, because if $8 is 1 yard, then 3/4 of 8 will be 3/4 of a yard. 8 ÷ 4 = 2, 2 × 3 = 6. Now we add the 6 on to 16 to get $22. For the second fabric, we do the same except with a 6. Since the whole number is a 1 there is no need to multiply, so we can go straight on to finding 2/3 of 6. 6 ÷ 3 = 2, 2 × 2 = 4. $6 + $4 is $10. Finally, we add the $10 onto the $22 and we get $32, which is the answer. I hope this helps you!

8+11=96 guys it goes
1+4=5 2+5=12 3+6=21 and then theres 8+11=? now in mathematical form it'd be 96

Answers

1+4 = 5
2+5 and add 5 = 12
3+6 and add 12 = 21
4+7+21=32
5+8+32=45
6+9+45=60
7+10+60=77
8+11+77=96

What is the answer of
3x+5=2x+3?

Answers

3-2=1x
3-5=-2
1x=-2
x=-2
Final answer:

To solve the equation 3x + 5 = 2x + 3, simplify both sides of the equation by subtracting like terms. The solution to the equation is x = -2.

Explanation:

To solve the equation 3x + 5 = 2x + 3, start by simplifying both sides of the equation.

You can do this by subtracting 2x from both sides, which eliminates the x term on the right side.

This leaves you with x + 5 = 3. Next, subtract 5 from both sides to isolate the x term.

This gives you x = -2. Therefore, the solution to the equation is x = -2.

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Alex is building a fence around his vegetable garden which is in the shape of rectangle with length of 30 feet and width of 40 feet. Alex completed the fencing in 12 hours. What is the unit rate at which Alex put a fence around his vegetable garden?

Answers

It's a bit of a trick question lemme break it down. it's asking for perimeter since it's in a shape of a rectangle. sl 30+30+40+40=140 ft of fencing. he completed it in 12 hours so 140/12=11.6 ft of fencing/hr!

2/3 of ___=6
Can you help me?

Answers

9 is the answer because 1/3 = 3 
the answer is 9!!!!!

Juan used 1/5 liter to water a small plant, and he uses 1/2 liter to water a large plant . Now he has 2/10 liter left in the pitcher. How much water water did juan have in the begging?

Answers

9/10 of a liter is the answer

A squirrel collected17 acorns.Then he collected 31. How many acorns did the squirrel collect?

Answers

17 + 31 --------------- 4 8 So 48 is uour final answer.
Final answer:

The squirrel collected a total of 48 acorns. This number is obtained by simple addition of the number of acorns it collected in two instances (17 + 31). The production of acorns is also influenced by the growth and maturation of oak trees.

Explanation:

This question is about simple addition in Mathematics. The squirrel first collected 17 acorns, then it collected another 31 acorns. To find out the total number of acorns the squirrel has collected, you need to add the numbers of acorns it collected in both instances. This is basically 17 + 31, which equals 48. So, the squirrel collected a total of 48 acorns.

The number of acorns a squirrel can collect is also determined by the production of acorns by oak trees. Oak trees grow very slowly and take, on average, 20 years to produce their first seeds, known as acorns. As many as 50,000 acorns can be produced by an individual tree, but the  is low as many of these rot or are eaten by animals such as squirrels.

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What is the best estimate for 1/6 x 7/8?
A 2
B 1
C 1/2
D 0
Also could you tell me how you got the answer

Answers

D since u round 1/6 to 0 and 7/8 to 1, 0 x 1 = 0

The lowest temperature on May 15 is 2 thirds as warm as the warmest temperature on May 15. The lowest temperature on May 15 is 60ºF. What is the warmest temperature on may 15?

Answers

The lowest temperature on May 15 was 60 °F, then the warmest temperature will be equal to 90 °F.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

The lowest temperature of May 15, L = 60 °F

Let the warmest temperature on May 15 is x.

The  lowest temperature on May 15 is 2 thirds as warm,

Then, the equation according to this will be,

L = 2/3x

60 = 2/3x

x = (60 × 3)/2

x = 90 °F

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What is the rate of change for the points (0,3) and (2,7)

Answers

2 right 3 up... hope this helped you
The rate of change is 2.
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