There were 24 1/4 crates of tomatoes in the barn but 7 3/5 crates of tomatoes were rotten and had to be thrown out. Joe sold 8 1/3 crates and canned 7 5/6 crates of tomatoes. How many crates of tomatoes were left?

Answers

Answer 1

Answer:

29/60 of the crates are left behind.

Step-by-step explanation:

Total number of crates = 24 1/4= 97/4

Rotten tomatoes crates = 7 3/5= 38/5

Joe sold crates = 8 1/3= 25/8

Canned  crates of tomatoes =7 5/6= 47/6

Therefore

24 1/4 - 7 3/5 - 8 1/3 - 7 5/6

= 97/4-38/5-25/3-47/6

= (97*5-38*4)/20  - (25*2+47)/6

= 485-152/20 - 97/6

= 333/20-97/6

= 333*3-97*10/60

=999-970/60

=29/60

29/60 of the crates are left behind.

This question is solved in 2 steps.

First the LCM of fraction 1 and 2 is taken separately from the LCM of fraction 3 and 4 for simplification purposes.

Then again the LCM is taken for the answers obtained from fraction 1&2 and fraction 3& 4.


Related Questions

Chang used a coordinate plane to show where his posters are displayed on his bedroom wall. Three posters are located at E(5, 3), F(–4, 3), and G(–4, 5). Use absolute values of coordinates to find the distances between points E and F, and between points G and F. Enter your answers in the boxes. EF = units GF = units

Answers

Answer:

EF = 9

GF = 2

Step-by-step explanation:

For EF, we want to find the distance between their c coordinates, since their y coordinates are the same. We want the distance between -4 and 5, which when you add their distance from 0, is 9.

For GF, they share the same x coordinate, so you're finding the distance between their y coordinates, which are 3 and 5. The distance between the two is 2, so the length of GF is 2.

Plz answer this question

Answers

Answer:

3,16,729

Step-by-step explanation:

The volume of a cylinder is given by the formula V = pier2, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?

Answers

Answer:

The volume of the cylinder is defined by the expression .

[tex]V=\pi (x+8)^2 (2x+3) or V=\pi (2x^3 + 35x^2 + 176x +192)[/tex]

The volume of the cylinder where the radius is r = ( x + 8 ) and height is h = ( 2x + 3 ) is given by the expression V = π ( 2x³ + 35x² + 176x + 192 ) units³

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be V

Now , the radius of the cylinder is r = ( x + 8 ) units

The height of the cylinder is h = ( 2x + 3 ) units

And , Volume of Cylinder = πr²h

On simplifying , we get

The volume of cylinder V = π ( x + 8 )² ( 2x + 3 ) units³

The volume of cylinder V = π ( x² + 16x + 64 ) ( 2x + 3 )

The volume of cylinder V = π ( 2x³ + 35x² + 176x + 192 ) units³

Hence , the volume of cylinder is V = π ( 2x³ + 35x² + 176x + 192 ) units³

To learn more about cylinder click :

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A company that makes​ hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer: 0.4%

Step-by-step explanation:

First, a porportion needs to be set up.

part/whole = percent/100

28/7,000 = x/100

Second, cross multiply.

2800=7,000x

x=0.4

which function is nonlinear

Answers

Answer:

C, y=2x(x-4)

Step-by-step explanation:

All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).

PLEASE HELP I'M SORRY FOR A LOT OF QUESTIONS but I need help ​

Answers

Answer:

Hello! answer: 268 square meters

Step-by-step explanation:

To find the total surface area you find the area of each face then add them up so...

10 × 3 = 30

10 × 3 = 30

8 × 3 = 24

8 × 3 = 24

10 × 8 = 80

10 × 8 = 80

Now that I found the area for each face I will just add them up so...

30 + 30 + 24 + 24 + 80 + 80 = 268 therefore the area is 268 square meters Hope that helps!

Answer :

[tex] \large\mathrm {\boxed{ \boxed{268 \: \: m {}^{2} }}}[/tex]

Solution :

The above pieces will form a cuboid, having dimensions :

[tex] \mathrm{\longrightarrow length = 10 \: m}[/tex]

[tex] \mathrm{\longrightarrow width = 8 \: m}[/tex]

[tex] \mathrm{\longrightarrow height = 3 \: m}[/tex]

We know that Surface area of Cuboid is :

[tex] \large \longmapsto \mathrm{{2(lw + wh + lh)}}[/tex]

Let's solve,

[tex]\longrightarrow2[(10 \times 8) + (8 \times 3) + (10 \times 3)][/tex]

[tex]\longrightarrow2[80 + 24 + 30][/tex]

[tex]\longrightarrow2 \times 134[/tex]

[tex]\longrightarrow268 \: m {}^{2} [/tex]

[tex] \circ { \underline{ \boxed{ \sf{ \color{green}{ \mathfrak{hope \: \: it \: \: helps \: \: you.....}}}}}}∘[/tex]

Does anybody know it part 2

Answers

Answer:

x = 33

Step-by-step explanation:

(x + 13) + (4x + 2) = 180

x + 13 + 4x + 2 = 180

5x + 15 = 180

5x = 180 - 15

5x = 165

x = 165/5

x = 33

Check:

(x + 13) + (4x + 2) = 180

(33 + 13) + 4(33) + 2 = 180

46 + 132 + 2 = 180

46 + 134 = 180

The manager of a home store is buying lawn
chairs to sell at his store. Each pack of chairs
contains 10 chairs. The manager will sell each
chair at a markup of 20% of the wholesale
cost, plus a $2.50 stocking fee.

Answers

Answer:

5$

Step-by-step explanation:

Which expression is equivalent to 44+100 as the product of GCF and sum?

A.5(8+20)
B.4(40+96)
C.2(22+50)
D.4(11+25)

*explain how you got the answer!*

Answers

Answer:

C.

Step-by-step explanation:

First you solve the bracket...

(22+50)= 72

72×2=144

Answer:

the answer is D because it has to greatest factor

A (5(8+20)=40+100

B (4(40+96)=160+384

C (2(22+50)=44+100

D (4(11+25)=44+100

The system of equations above has solution (x,y). What is the value of x?

Answers

Answer:

x = 5.25

Step-by-step explanation:

Solve by substitution by substituting 2x as y into the first equation:

1/2(2x + y) = 21/2

1/2(2x + 2x) = 21/2

Simplify and solve for x:

1/2(4x) = 21/2

2x = 21/2

x = 21/4

x = 5.25

So, x = 5.25

Answer:

x = 5.25

step- by - step explanation

1/2 × ( 2x + y ) = 21/2 .............( 1 )

y = 2x ......................( 2 )

substitute the value of y in ( 1 )

1/2 ( 2x + 2 x ) = 21/2

simplify

1/2 ( 2 x + 2 x ) = 21/2

combine like terms

1/2 ( 4x ) = 22/2

Divide the numbers

1/2 ( 4 x ) = 10.5

divide 4 x by 2

4 x / 2 = 10.5

2 x = 10.5

divide each side by 2

2x/2 = 10.5 / 2

x = 5.25

Two toy rockets are launched straight up into the air. The height, in feet, of each rocket at t seconds after launch is given by the polynomial equations shown. Write an equation to find the "difference" in height of Rocket A and Rocket B. Rocket A: -15t^2 + 100t and Rocket B: -14t^2 + 85t+3.

Answers

Given:

The height, in feet, of each rocket at t seconds after launch is given by the polynomial equations:

Rocket A: [tex]-15t^2+100t[/tex]

Rocket B: [tex]-14t^2+85t+3[/tex]

To find:

The equation to find the "difference" in height of Rocket A and Rocket B.

Solution:

The difference in height of Rocket A and Rocket B is:

Difference = Height of Rocket A - Height of Rocket B

[tex]\text{Difference}=(-15t^2+100t)-(-14t^2+85t+3)[/tex]

[tex]\text{Difference}=-15t^2+100t+14t^2-85t-3[/tex]

[tex]\text{Difference}=(-15t^2+14t^2)+(100t-85t)-3[/tex]

[tex]\text{Difference}=-t^2+15t-3[/tex]

Therefore, the difference in height of Rocket A and Rocket B is [tex]-t^2+15t-3[/tex].

Help me pleaseeeeeeeee
if (x) = 5x-2 and g(x)= 2x+1, find (f+g)(x)
A 3x-1
B. 4-3
C. 7x-3
D. 7x-1

Answers

Answer:

D. 7x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5x - 2

g(x) = 2x + 1

Step 2: Find

Substitute in functions:                                                                                      (f + g)(x) = 5x - 2 + 2x + 1Combine like terms:                                                                                         (f + g)(x) = 7x - 1

FInd WY Given: Giving brainly.

Answers

Answers:

x = 2WY = 28

===========================================================

Explanation:

The tickmarks show that WZ and XY are the same length. The arrows show that WX is parallel to ZY. This is an isosceles trapezoid.

For any isosceles trapezoid like this, the diagonals are the same length. We can prove it using the SAS congruence theorem.

So,

WY = XZ

15x-2 = 9x+10

15x-9x = 10+2

6x = 12

x = 12/6

x = 2 .... first answer

Use that value of x to find the length of each diagonal.

WY = 15*x - 2 = 15*2-2 = 30-2 = 28 .... second answerXZ = 9x+10 = 9*2+10 = 18+10 = 28

Both diagonals are 28 units long, which helps confirm we have the right x value.

What is the percent decrease from 345 to 300 rounded to the nearest percent

Answers

Answer:

-13.04.

Step-by-step explanation:

Need help with this question

Answers

corresponding sides are proportional

Suppose y varies directly with x, and y = 65 when x = 13. What direct variation equation relates x and y?

Answers

Answer:

y = 5x

Step-by-step explanation:

y = kx

65 = k (13)

65/13 = k

k = 5

~~~~~~~~~~~~

y = 5x

Find the L.CM of 36,60,126​

Answers

Answer:

1260

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

2 x 2 x 3 x 3 x 5 x 13

= 2340

................

Complete the table for the given rule.
Rule: y=x+3

Answers

Answer:

1

5

2

Step-by-step explanation:

4-3=1

8-3=5

5-3=2

Hope this helps! :)

Find the area of the shape shown below.

Answers

Answer:

8

Step-by-step explanation:

First your rectangle

A = wl

A  = 2 * 2

A = 4

Then one of your triangles

A = h b/2

A = 2 * 2/2

A = 2

you have 2 triangles, so the area is 4 + 4 from the rectangle

Answer:

Area = 8 units²

Step-by-step explanation:

Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.

Therefore, the area of the trapezoid is:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A=\frac{1}{2}(6+2)(2)[/tex]

[tex]A=\frac{1}{2}(8)(2)[/tex]

[tex]A=8[/tex]

This means that the area of the trapezoid is 8 units²

Aina builds a cube model out of manila cards. If the volume of the constructed cube is (2+3p) ³ cm³, find the total surface area of the cube in terms of p.

HELPPPP

Answers

Given:

The volume of a cube = [tex](2+3p)^3\ \text{cm}^3[/tex]

To find:

The total surface area of the cube in terms of p.

Solution:

Volume of a cube is:

[tex]V=a^3[/tex]            ...(i)

Where, a is the side length.

It is given that,

[tex]V=(2+3p)^3\ \text{cm}^3[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=2+3p\text{ cm}[/tex]

Now, the total surface area of a cube is:

[tex]A=6a^2[/tex]

Where, a is the side length.

Putting [tex]a=2+3p[/tex], we get

[tex]A=6(2+3p)^2[/tex]

Therefore, the total surface area of the cube in terms of p is [tex]6(2+3p)^2\ \text{cm}^2[/tex].

Mike graphed an exponential growth function that has a y-intercept of 5.
Which of the following functions did Mike graph?
a) y = 2^5x
b) y= 5(2^x)
c) y= 2^x +5
d) y= 2^x-5

Answers

The answer is d) y= 2^x-5

SOMEONE PLEASE HELP ME!!!!

Answers

Answer:

Step-by-step explanation:

scale factor=17/36

If ABC ~ DEF and the scale factor from ABC to DEF is 2, what are the lengths of , , and , respectively?

Answers

Answer:

4,8,12 hope that helps heeeeheheʘ‿ʘ

Tell whether the points appear to represent a linear function, an exponential function, or neither? Explain please.

Answers

Answer:

Exponential

Step-by-step explanation:

Linear is easy to remember because it goes in a straight LINE.

Only other option is a quadratic and this does not create a parabola

1. Explain how to find the area of a complex figure. Draw an example to help illustrate
your understanding. Please help!

Answers

Answer:

Refer to the attached file

Hope it helps..

What is 2y+5 = 3y+2 ?

Answers

2y + 5 = 3y + 2

=> 5 - 2 = 3y - 2y

= 3 = y

Answer:

y = 3

Step-by-step explanation:

2y + 5 = 3y + 2

2y - 3y + 5 = 3y - 3 y + 2                  [ subtract both sides by 3y ]

- y + 5 = 0 + 2                                  [ 3y - 3y = 0 ]

- y + 5 - 5 = 2 - 5                              [ subtract by 5 on  both sides ]

- y + 0 = - 3                                      [ -5 + 5 = 0 ]

  - y = - 3                      

     y = 3                                          [ divide by - 1 on both sides ]            

What is the value of X enter your answer in the box

Answers

Answer:

x = 27

Step-by-step explanation:

The segment in the triangle bisects ∠ BAC and divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{x+8}{2x-5}[/tex] = [tex]\frac{10}{14}[/tex] ( cross- multiply )

10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides

20x - 50 = 14x + 112 ( subtract 14x from both sides )

6x - 50 = 112 ( add 50 to both sides )

6x = 162 ( divide both sides by 6 )

x = 27

To solve for the value of x you need to use and setup proportions then cross multiply then solve for the isolated variable

11. Square ABCD shown has sides of length 10 centimeters. The unshaded
portions are both semicircles. Calculate the area of the shaded portion to
the nearest tenth of a square centimeter. *

Answers

Answer:

21cm^2

Step-by-step explanation:

Area of Square-Area of semi circles (makes one full circle)

Squares Area = 100

LxW or (10x10)=100

Circle Area = 25/pi

/pi (radius)^2 or /pi(5)^2 = 25/pi

100cm^2-25cm^2 = 21.4601…cm^2 rounded to 21.5 cm^2

The area of the shaded region is 21.5 cm²

What is a semi-circle?

'In geometry, a semicircle is a plane figure that is formed by dividing a circle into exactly two parts.'

According to the given problem,

Side length of the square = 10

Area of the square = ( 10 × 10 )

                               = 100 cm²

Now, for the semi-circle,

Diameter = 10 cm

Radius = [tex](\frac{10}{2}[/tex][tex])[/tex] cm

            = 5 cm

Area of the semicircle =  [tex]\frac{\pi r^{2} }{2}[/tex]

                                     = [tex]\frac{\pi * 5^{2} }{2}[/tex]

Since, there are two semicircles in the square, we multiply the area with 2,

⇒ [tex]\frac{\pi *5^{2} }{2}*2[/tex]

= 25[tex]\pi[/tex]

Area of the shaded region = ( 100 - 25π )

                                            = ( 100 - 78.53 )

                                            = 21.46

                                            ≈ 21.5 cm²

Hence, we can conclude, the area of the shaded region is 21.5 cm².

Learn more about semi-circles here: https://brainly.com/question/14429410

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Help me ASAP please

Answers

Answer:

D. F(x) = (x - 1)^4

Step-by-step explanation:

To shift a graph h units horizontally, replace x by x - h.

The shift is 1 unit to the right, so the shift is positive 1.

h = 1

x - h = x - 1

Replace x with x - 1.

G(x) = x^2 becomes F(x) = (x - 1)^4

14 is what % of 89 if you choose a random answer you will be reported

Answers

Answer:

15.73 %

Step-by-step explanation:

Given :-

14 is what % of 89 .

For finding% :-

→ 14/89 * 100

15.73 %

Answer:

15.73% to the nearest hundredth.

Step-by-step explanation:

14/89 = 0.157303

Now multiply  by 100

This gives 15.7303 %

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