A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?

Answers

Answer 1
1/3 + 1/2 + 4/5

The least common multiple of 3, 2, and 5 is 30

1/3 * 10/10 = 10/30
1/2 * 15/15 = 15/30
4/5 * 6/6 = 24/30

10/30 + 15/30 + 24/30 equals
49/30 tons or 1 and 19/30 tons
Answer 2

Answer:

1/30 ton of rock left

Step-by-step explanation:

1/3+ 1/2= 5/6

5/6 - 4/5= 1/30 ton of rock left at the construction site.


Related Questions

Which of the following sets of ordered pairs does not define a function?

{(1,2),(5,6),(6,7),(10,11),(13,14)}
{(−1,4),(0,4),(1,4),(2,4),(3,4)}
{(1,1),(2,2),(3,3),(4,4),(5,5)}
{(1,3),(5,2),(6,9),(1,12),(10,2)}

Answers

Answer: D

Step-by-step explanation: As we can see, D is the only one that has matching inputs, but those inputs have separate outputs. If they don't have the same output, it is not a function

Hope this helps :)

What is the theoretical probability of rolling anything other than a two on a fair six sided die?

Answers

Answer:

5/6 probability

Step-by-step explanation:

I NEED HELP PLSSSSS I WILL MARK BRAINLEIST <3

Answers

the answer is C...... ....

C. .....

The seesaw moves and the angle created by the left side of the seating board and the central support is now 80 degrees. Create and use a model, to find the distance from point Q to the ground when the angle created by the left side of the seating board and the central support is 80 degrees. Show your work or explain your answer. Round your final answer to the nearest tenth of a foot. Enter your model, your answer, and your work or explanations in the space provided. ​

Answers

Answer:5.7

Step-by-step explanation:

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the point Q and the ground is h-[L cos(80°)].

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The Base is the adjacent smaller side of the angle θ.

Let the height of the support be h and the height between the point q and the ground is x. Also, the distance between point Q and the support of the seesaw is L.

Now if we look at the ΔQAR, the measure of the ∠QRA is 80°, therefore, the sine of ∠QRA can be written as,

[tex]\rm Cos(\theta)=\dfrac{Base}{Perpendicular}\\\\Cos(\angle QRA) = \dfrac{AR}{QR}\\\\Cos(\angle QRA) = \dfrac{h-x}{L}\\\\L \times Cos(80^o)=h-x\\\\x=h-[L\ Cos(80^o)][/tex]

Hence, the distance between the point Q and the ground is h-[L cos(80°)].

Learn more about Tangent (Tanθ):

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1. does a rectangle have opposite sides parallel
2. does a parallelogram have opposite sides parallel
3. does a trapezoid have opposite sides parallel
4. does a rhombus have opposite sides parallel

Answers

Answer:

yes I guess a rectangle has opposite sides parallel parallelogram has opposite sides parallel a trapezium has opposite sides parallel a rhombus has opposite sides parallel if I'm wrong please connect me right away thank you.

Answer:

1.Yes, 2 pairs

2.Yes, 2 pairs

3.Yes, 1 pair

4.Yes, 2 pairs

Step-by-step explanation:

1.Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.

2.A parallelogram is a four sided figure where the opposite sides are parallel.

3.A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.

4.Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

what’s the answer ??

Answers

Answer:

answer A shows a rotation

A because B is a mirror, c is a translation

I WILL GIVE BRAINLIEST!!!!!!
Write in complete sentences to explain what a budget is, how to make one, and how to balance it.

Answers

A budget is the amount of money you have to spend on something, you make a budget by taking your amount of money and choosing how much you want to save and how much you want to spend on something, and you balance your budget by possibly splitting your money then using half of it as the budget and half of it as saving

12/5 divided by 21/10

Answers

exact form is 8/7 , as a decimal its 1.142 and mixed number form its 1 1/7

Always in the game and never played by the rules (rules)
Tried to let me leave (leave), fell down to my knees (knees)
Picked myself up and turned my back to the breeze, oh-oh
Spent a milli' on a milli', mama look at me (oh)
With all these diamond chokers, man, it's gettin' hard to breathe

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If you made this Very good job. I like it, and its hard to make a song i like. i like about 60 songs total out of the 10000+ ik of

The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel between the 6 and the 12, if the length of the second hand is 6 inches?

Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.

A) 3 pi
B) 6 pi
C) 12 pi
D) 24 pi

Answers

Answer: 3 inches

Step-by-step explanation: IT MIGHT BE IF ITS WRONG IM SORRRYYY

PLEASE HELP WITH MY HOMEWORK SCREEN SHOT ATTACTCHED

Answers

Answer:

first, second and fourth are all correct

Step-by-step explanation:


Francesca makes and sells jewelry. She uses the equation p = "285 + 45n to model the situation, where p is the amount of profit she
makes and n is the number of necklaces she sells. What does the y-intercept

Answers

it would be (0,285) if 285 is just 285

The y-intercept for the given equation p = 285+45n is 285.

What is Y intercept?

The Y-intercept is the point where the graph intersects the y-axis.

Y-intercept formula

To find the y-intercept of a function y = f(x), substitute x=0 and solve for y.

According to the given question

we have an equation p = 285+45n

where,

p is the amount of profit

and, n is the number of necklaces

Let,  p = y and n = x

then the given equation becomes y=285+45x

substitute, x = 0 in equation y = 285+45x

⇒ y = 285

Hence, the y-intercept of the equation p=285+45n is 285.

Learn more about y-intercept here:

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hurry!!!! I need help ​

Answers

50 honestly have no clue sorry
X=50°
Because A and B side angles equal.
So x+17°=67°
So when you find the x from the problem
x=67°-17°=50°

Help me pls, tysm! I will give brainly if you give me the right answer, tysm! I need help on number 6 btw

Answers

Answer: 96 feet

Step-by-step explanation:

the expression 8+2t can be used to find the total cost of admission and t amusement rides at a country fair. what statement is true?

Answers

the anwser is going to be A

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

Answer:

y= 3

x= -2

Step-by-step explanation:

..,............

9. What is the distance along the x axis from order pairs -8, 6 and 4,6
a. 4 units
b. 8 units
c. 16 units
d. 12 units

Answers

Answer:

12 units

Step-by-step explanation:

got it right on edg

2/6, 5/12, 3/7, and 4/10. List least to most

Answers

Turn them into percentages:
2/6=1/3=33.333%
5/12=42%
3/7=43%
4/10=2/5=40%

Now put them in order :)

2/6,4/10,5/12,3/7

Write 6.5.x 10-4
as an ordinary number​

Answers

Step-by-step explanation:

0.00065

Hope it helps....

please help, i will give brainilest.

Answers

Answer:

-36

Step-by-step explanation:

Answer:

i think x = 21

Step-by-step explanation:

Find the perimeter of this complex shape.

Answers

31 cm
Add are the sides

Mohammed is x years old.
Holly is 3 years older than Mohamed.
Karen is twice as old as Mohamed.
The total of their ages is 51.
How old is Mohamed?

Answers

Step-by-step explanation:

Mohammed age = x

Holly age = x + 3

Karen age = 2x

given,

[tex]x + (x + 3) + 2x = 51 \\ x + x + 3 + 2x = 51 \\ 4x + 3 = 51 \\ 4x = 51 - 3 \\ 4x = 48 \\ x = 48 \div 4 \\ = 12[/tex]

Two sides of a triangle measure 5
units and 3 units. The perimeter
of the triangle is 12 units. What is
the measure of the third side?

Answers

Answer:

4 units

Step-by-step explanation:

5+3=8

12-8=4

what is the measure of ∠x?

Answers

Answer:

83°

Step-by-step explanation:

WZ is a straight line. Angles at a straight line add up to 180°.

180 - 97 =83°

does anyone here know how to write negative 1 on there

Answers

Answer:

you fo to the fourth box on there and put - then go to the box after that and put 1

Step-by-step explanation:

sorry if im wrong



At a certain school, 8/9 of the students are boys. Today, 2/5 of the boys brought their lunch. What fraction of the students are
boys who brought their lunch today?

Answers

Answer:

the answer is I think 2/3

Fraction of boys brought lunch today is 16/25.

Here,

Given that:

The ratio of boys at certain school = 8/9

And 2/5 of boys brought lunch today

We have to find fraction of boys brought lunch today.

What is fraction?

Fractions denote the parts of a whole or collection of objects.

Now,

The ratio of boys at certain school = 8/9

And 2/5 of boys brought lunch today

Since, the ratio of boys 8/9 denotes 8 boys out of 9 students

Therefore, number of boys = 8

Thus, Fraction of boys brought lunch today = 8 x 2/5

                              = 16/25

To learn more about fraction visit:

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The cost to place an ad in a weekly paper is $5.50 per line,i.The print set-up fee is $7.50.

Answers

Answer:

whats the question?

Step-by-step explanation:

Solve for X: x/5 - 7 = 2
Please give the correct answer. Thank You!

Answers

Answer:

x = 45

Step-by-step explanation:

[tex]\frac{x}{5} -7=2\\\\\frac{x}{5}=9\\\\x=45[/tex]

Is (x+5)2 equivalent to 2x2+10x +10? Explain why or
why not?

Answers

Answer:

no

Step-by-step explanation:

no because its equal to 2x+10

HELP NO LINKS JUST ANSWER DUE TODAY

Answers

The value of x is 4.4

This is because to get from 10 to 4 you divide to get a scale image. 10 divided by 4 = 2.5. So to get the same scale length on the other side of the triangle you divide the side length of 11 by 2.5 which = 4.4
I hope this helps! Good luck on your homework!
4/10=x/11

0.4=x/11

x=0.4•11

x=4.4
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