Karen wanted to cut three lengths of wood from a 10 foot long board. The length of three pieces she wanted to were 1 2/3 feet 2 3/4 feet and 3 5/6 feet

Answers

Answer 1

[tex]\\ \sf\longmapsto 1\dfrac{2}{3}+2\dfrac{3}{4}+3\dfrac{5}{6}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{3}+\dfrac{11}{4}+\dfrac{23}{6}[/tex]

[tex]\\ \sf\longmapsto \dfrac{20+33+46}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{99}{12}[/tex]

[tex]\\ \sf\longmapsto 8.2ft[/tex]

Rope left

[tex]\\ \sf\longmapsto 10-8.2=1.8ft[/tex]

Answer 2
Answer:

1¾ ft ≈ 1,75 ft

Step-by-step explanation:

[tex] \sf 1\frac{2}{3} + 2 \frac{3}{4} + 3\frac{5}{6} [/tex]

[tex] \sf = \frac{3 + 2}{3} + \frac{4 \times 2 + 3}{4} + \frac{6 \times 3 + 5}{6} [/tex]

[tex] = \sf \frac{5}{3} + \frac{11}{4} + \frac{23}{6} [/tex]

[tex] \sf = \frac{5 \times 4 + 11 \times 3}{3 \times 4} + \frac{23}{6} [/tex]

[tex] = \sf \frac{20 +33 }{12} + \frac{23}{6} [/tex]

[tex] \sf = \frac{53}{12} + \frac{23}{6} [/tex]

[tex] = \sf \frac{53}{12} + \frac{23 \times 2}{6 \times 2} [/tex]

[tex] \sf = \frac{53}{12} + \frac{46}{12} [/tex]

[tex] \sf = \frac{99}{12} [/tex]

[tex] \sf = \frac{10}{1} - \frac{99}{12} [/tex]

[tex] \sf = \frac{10 \times 12 - 99}{12} [/tex]

[tex] = \sf \frac{120 - 99}{12} [/tex]

[tex] \sf = \frac{21}{12} [/tex]

= 1¾ ft ≈ 1,75 ft


Related Questions

Please help!! I'm struggling so bad with this!!

Answers

Answer:

Step-by-step explanation:

25.

Statement  / Reason

AB ≅ CD / given   (side)

<ABD ≅ <CDB /given (angle)

BD ≅BD / reflexive property (side)

ΔABD ≅ Δ CDB / SAS theorem of triangles congruency

26.

Statement  / Reason

< P ≅ < T / Given (angle)

PR ≅TR / Given (side)

< PRQ ≅< TRS / Vertical angles are congruent (angle)

ΔQPR ≅ΔSTR / ASA theorem of triangles congruency

28.

Statement  / Reason

AB ≅ ED / Given (side)

< A ≅ < D / Given (angle)

<ASB ≅ <DCE / Vertical angles are congruent (angle)

ΔABC ≅ΔDEC / SAA theorem of congruency

30.

Statement  / Reason

PS ≅ QR / Given (side)

PQ ≅ SR / Given (side)

PR ≅ PR / Reflexive propriety (the line segment is congruent with itself) (side)

ΔPSR ≅ ΔPQR / SSS theorem of congruency

31.

Statement  / Reason

< M ≅ < L / Given (angle)

MK ≅ LK / JN bisects ML  is given and by definition a line segment bisector forms two congruent parts. (side)

<MKJ ≅ <LKN / vertical angles are congruent (angle)

ΔMJK ≅ΔLNK / ASA theorem of triangles congruence

Geometric proofs. I just don’t understand it and my teacher isn’t helping.

Answers

The midpoint of a line can be represented by the point that is in the very center of the line. A line segment such as AT also represents half of the line. The symbol of the tilde with the equal sign underneath represents congruence meaning the two segments are the same. Therefore each equation shows the same true statement in a different form

Can someone help me with 8-grade math homework, please

Answers

Answer:

so y=7.25x+9.99 where y is the total money they spend, and the x is the total number of they want to bought jersey which is 20,

So here it's equation:

y=7.25(20)+9.99

y= 145+9.99

y=154.99, therefore the total is 154.99

and the second one is find and explain the mistake

the y values is the mistake when you equate the number of x to the equation given so the true answer of that table if you use the equation is:

X Y

2 0

3 -2

4 -4

5 -6

Pick < ,< or = to make the statement true. 11 ..... 52/9

PLZ HURRRYYYYY

Answers

Answer:

>

Step-by-step explanation:

lets make 52/9 a mixed number, 5 7/9

so >

11> 5 7/9

A line has slope −5/3. Through which two points could this line pass?


A: (11, 13) & (8, 18)

B: (12, 13) & (17, 10)

C: (16, 15) & (13, 10)

D: (0, 7) & (3, 10)

Answers

Answer:

A:

Step-by-step explanation:

[tex]m=\frac{18-13}{8-11} =\frac{5}{-3} =-\frac{5}{3}[/tex]

I hope this help you

guys pls help me!!!!!!

Answers

Answer:

104

Step-by-step explanation:

Alternate angles are equal.

104
Jsjdjdhjdjsjdjjdhshshsj

A pencil making machine took 1⁄10 of a second to make enough pencils to fill 1⁄9 of a box. At this rate, how long would it take the machine to fill the entire box?

Answers

Answer: 9/10 of a second

It would take it 9/10 if a second.
Reason: if it take 1/10 of a second to fill 1/9 of a box multiply 1 by 9 and you have your answer.

What's The Answer To This?

Answers

Answer:

The answer would be:

c. [tex]2\sqrt{2}[/tex]

A line is drawn so that it passes through the points (-6.0) and (19.45). What is the slope of the line? Round answer to the tenths place, if answer is a whole number than make the tenths place a zero to be counted correct ​

Answers

Answer:

The slope of the line is 1.8, or 1 4/5.

Step-by-step explanation:

This is right, trust me.

which is bigger 0.8243 or 0.82
which is bigger 0.425 or 0.43
which is bigger 7.229 or 7.219
which is bigger 0.2 or 0.02
which is bigger 0.031 or 0.310
please help stat!!​

Answers

0.8243 is greater than 0.82
0.425 is less than 0.43
7.229 is greater than 7.219
0.2 is greater than 0.02
0.31 is less than 0.31
I am pretty sure this is right I did the best I could.

Kayleigh has 2 apples for every 3 oranges in her fruit basket. If Kayleigh has 15 oranges altogether in her basket, how many apples must she have in her basket?
5 apples 10 apples
25 apples 15 apples

Answers

She will have 10 apples because there is a 2:3 ratio.

Answer:

10 apples.

Step-by-step explanation:

Use synthetic division to divide 4x^3-6x^2-23+10 by x+2

Answers

Answer:

The answer is 4x^2-14x+28-69/x+2

Step-by-step explanation:

I just simplified what I could simply. I have tested to see if this is 100% correct and it is. Have a good day! :D

6+8÷2


mathematics middle school

Answers

Answer:

10

Step-by-step explanation:

6+8÷2=

6+4=

10

Answer:

10

Step-by-step explanation:

This can be calculated correctly using BIDMAS. This stands for Brackets, Indices, Multiply, Divide, Add, Subtract. Using BIDMAS will allow us to know what order to answer the question in.

In BIDMAS, Divide comes before Add, so we know to do this part first. So we do 8 divided by 2 which is 4.

The next part of our question is to add 6, so we do 6+4=10. So, 10 is the final answer.

A number increased by 4 is less than 19.

Answers

Answer:

23 is the answer u understand

Mr. Webster is buying carpet for an exercise room in his basement. The room will have an area of 230 square feet. The width of the room with have 12&1/2 feet. What is the length?

PLEASE DO NOT JUST GIVE THE ANSWER, (I could have done that myself) PLEASE SHOW WORK ON HOW YOU GOT THE ANSWER.

Thanks!

Answers

Answer: 18.4 ft

Step-by-step explanation:

Area= L x W

230= 12.5 x L (Divide both sides by 12.5 to get L)

L= 18.4 ft

Answer:

The length of the room is 18 2/5 feet.

Step-by-step explanation:

The formula for finding the area of rectangles is A = l · w

Since the area and width is given to you, we can substitute that in the formula:

230 = l · 12 1/2

Now we convert the 12 1/2 to an improper fraction so it is easier to solve.

Here's how you convert a mixed number to an improper fraction:

12 · 2 = 24

24 + 1 = 25

and put 25 over the original denominator

     = 25/2

Now you can add that to the equation...

l · 25/2 = 230 (I put 230 on the right side because that is how I am used to solving equations, but you can leave it on the right side as well. It is up to you)

To get rid of fractions, multiply by the reciprocal (Basically you flip the fraction so that the numerator becomes the denominator and the denominator becomes the numerator) on both sides

25/2 · 2/25 cancels itself out

   and

230/1 · 2/25...

   230 · 2 = 460

   1  · 25 = 25

So you would get 460/25

Thus, we end up with:

l = 460/25

Divide 460 by 25 and you get 18.4...

Technically 18.4 is the answer but in decimal form.

If you want it in fraction form, just take 0.4 and put it over 10 because 0.4 is in the tenths place. 4/10 simplifies down to 2/5...

Therefore, the answer is 18 2/5 feet.

I hope this is helpful! Let me know if you have any further questions :D

I don't need this for school i Just want to see if people can help me with my other studies with a test question. I know this is easy but i Want to ask So...

Billy's dad gets:6,59€a day. And now he has made 408,58€ how many days did he work? ​

Answers

Answer:

what thats a math question

Step-by-step explanation:

solve:
(x-3)(2x+1)(3x-2)

Answers

Answer:

6x^3 + 19x^2 + x +6

Step-by-step explanation:

✊✊✊✊✊✊✊

A line passes through the points (-5, 2) and (10.-1). Which is the equation of the line?

Answers

Answer:

y= -1/5x + 1

Step-by-step explanation:

When looking for a line between two points, you want to use the following formula: (y2-y1)/(x2-x1) which finds your distance between points for the y and x coordinate to solve for your slope. y1 is the y coordinate from the first given point and x1 is the x coordinate from the first given point as well. this would go the same for x2 and y2 for the second given equation.

Next, we plug in our values so that we get (-1-2)/(10-(-5)). This will then lead us with -3/15 which simplifies to -1/5. This is our slope. Now that we have our slope we can rule out every option except the first for the answer. However, if we want to look for the entire answer we need to plug in one of our given values in the formula we have: y=-1/5x.

So to find the y-intercept, we can plug in any of the given coordinates so we can fo (10,-1) so that -1=-1/5(10)+b (b what added because we are putting the equation in slope-intercept, therefore we need to find the value b.) So we are left with -1=-2+b now we want to isolate b by adding 2 on both sides to cancel -2 and get 1=b. This would leave us with the equation y=-1/5x+1.

100 points! :) How do you find the equation of a line given two points? Please explain step-by-step!
So for example: Find the equation of the line containing the points (-2, 1) and (2,9).

Answers

Answer:

1,9

Step-by-step explanation:

Answer:

-2+4=2, 1+8=9

Hope I helped

Susan and Jim both babysit. Susan earns $15 for 2 hours and $30 for 4 hours. Jim’s charges are calculated using the equation t=7h+10 (t is the total and h is the hours) which statement is true


A.) Jim charges $7.00/hour, which is higher than Susan’s hourly rate


B.) Jim charges $10.00/hour, which is higher than Susan’s hourly rate


C.) Susan charges $7.00, which is equal to Jim’s hourly rate


D.) Susan charges $7.50, which is higher than Jim’s hourly rate


Please answer as soon a possible

Answers

Answer:

D.

Step-by-step explanation:

7h is the amount of money Jim makes per hour. You can find the amount of money Susan makes by dividing the amount she made to the hours:

15/2 = 7.50

Susan charges $7.50, which is higher than Jim's hourly rate. which is the correct answer would be a statement (D)

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To find the hourly rate for Jim, you can plug in different values for h (the number of hours) in the equation t = 7h + 10 and solve for t (the total). For example, if h = 1, then t = 7(1) + 10 = 17. This means that if Jim babysits for 1 hour, he charges $17.

If you divide the total amount that Jim charges by the number of hours he works, you get his hourly rate. In this case, the hourly rate is t/h = 17/1 = $17/hour.

To find Susan's hourly rate, you can divide the total amount that she charges by the number of hours she works. For example, if Susan babysits for 2 hours, she charges $15, so her hourly rate is $15/2 = $7.50/hour. If Susan babysits for 4 hours, she charges $30, so her hourly rate is $30/4 = $7.50/hour.

Since Susan charges $7.50/hour, which is higher than Jim's hourly rate of $17/hour, the correct statement is D.) Susan charges $7.50, which is higher than Jim's hourly rate.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ2

How do I get the x and y intercepts to graph this equation?

Y=-1/2x-3

Answers

Answer: x intercept is (-6,0) and y intercept is (0,-3)

Step-by-step explanation: the y intercept is when x=0. the x intercept is when y=0.

to solve this for the y intercept, we set x=0 in the equation y=-1/2x-3. so it would be y=-1/2(0)-3 therefore y= 0-3 and y=-3. the y intercept is (0,-3)

to solve for the x intercept, we set y=0. we plug it into the equation y=-1/2x-3 so 0=-1/2x - 3. this means we can change the sign of -1/2x from negative to positive and move it to the other side. so 1/2x=-3 to solve for x, we divide both sides by 1/2 so x=-6. so the x intercept is (-6,0)

How Do You Do Math?


:O

Answers

Answer:

study lol

Step-by-step explanation:

watch math videos and don't be afraid to ask your teacher questions it really does help.

h = -16t2 + 4t + 4
I don’t know how to approach this

Answers

Answer:

0.64 seconds

Step-by-step explanation:

Some extra unneeded information provided in this problem. Simply find t when h is equal to zero. (Factor out -4 if it makes it easier.)

0 = -16t^2 + 4t + 4

Solve using the quadratic equation:

t = ~0.64

Please help, I’ll give Brainly

Answers

Answer:

the answer should be the third one

Step-by-step explanation:

It’s C! A> 5/3! Hope this helped

What is the diameter of the following circle?
5 units

Answers

Answer:

10

Step-by-step explanation: Just mutiply the radius by 2

guys pls help me!!!!!!!

Answers

Your answer would be 154*. Reason being, if there are two parallel lines and a line running through them, you will only have 2 types of angles. The labeled 154* tells us that the angle to its right would be 26 degrees. Making  line m = to 180 degrees at that angle. Then if you did the same thing with line t, you would get angle x to be equal to 154 degrees.

It is complicated like that, or as simple as just taking the 154 and saying that x has the same angle. Due to the fact that both angles are adjacent, they are the same.

I need help! Please tell me which one is true and which one is not!

Answers

Answer:

yes yes no yes

Step-by-step explanation:

The 3 one in not true the rest are

find the distance between the 2 numbers on a number line. 6 and -4 1/4

Answers

Answer:

10 1/4

Step-by-step explanation:

[tex]6 - ( - 4 \frac{1}{4} )[/tex]

two negatives make a positive

[tex]6 + 4 \frac{1}{4} = 10 \frac{1}{4} [/tex]

Aimee went to a stationary shop. She purchased 2 packs of red pens, 4 packs of black pens, and 3 packs of blue pens.
The cost of each pack of pens was $2.50. Which expression shows the total amount Aimee spent on the pens?
A ($2.50 x 2 x 4x3)
B $2.50 x (2+4+3)
C($2.50 x 2) + 3+4
D (52.50 +2 +4+3)

Answers

Answer:

A.

Step-by-step explanation:

The answer is B.

Each pack costs 2.50, so this means we can add all of our packs brought together, before multiplying. (2+4+3)=7. So our final equation should be 7 x 2.50 ,therefore B is our correct answer.

Hope this helps. & don't forget to drink water !!

Again you don’t need to answer all of them but if you can do some that would be wonderful!

Find the value of y that makes lines u and v parallel,


THANKS !

Answers

Answer:

17)  x=7

18) x= -26

19) x= -8

20) x= 6

Step-by-step explanation:

17) is congruent

18) is supplementary

19) is congruent

20) is congruent

Answer:

Q17. 6x+8=50 (alt angles, u//v)

6x=50-8

=42

x=42÷6

=7

Q18. 80°+x+106°=180° (int angles, u//v)

x+186°=180°

x=180°-186°

=-6

Q19. x+68=60 (vert opp angles)

x=60-68

=-8

Q20. 20x=120°

x=120÷20

=10

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