Jemima filled one fourth of a barrel with compost on Saturday. Then she filled the remaining space with 4,200g of compost on Sunday. How many kilograms of compost are in the barrel

Answers

Answer 1

Answer: 5.6kg

Step-by-step explanation:

Since Jemima filled one fourth of a barrel with compost on Saturday, then the remaining space will be:

= 1 - ¼ = ¾

Since the remaining ¾ space is filled with 4200g of compost, then the compost in the barrel will be

¾ × x = 4200g

0.75 × x = 4200g

0.75x = 4200g

x = 4200g/0.75

x = 5600g

Since 1000g = 1kg

5600g = 5600/1000 = 5.6kg

There is 5.6kg of compost in the barrel.


Related Questions

If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter

Answers

Step-by-step explanation:

If 3.25m is equal to 15kg then what about 1m?

3.25m = 15kg

1m =?

Then by cross multiplication we get 4.615 kg

a 420$ dressed is 20% off, how much is the sales price?

Answers

Answer:

$336

Step-by-step explanation:

420 x 0.2 = 84

420 - 84 = 336

Answer:

the answer is going to be $336

Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?

Answers

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:


Find the rate of change from the table.

Answers

Answer:   15

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

We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

What is the median number of TVs in Mrs. Jamison's Class?

Answers

Answer:

its the 4 on the number line under her name

I suck at math and need help

Answers

Answer:

B. 3 + 5i

Step-by-step explanation:

-2i + (9 - 3i) - (6 - 10i) =

= - 2i + 9 - 3i - 6 + 10i

= 5i + 3

= 3 + 5i

the answer is B. 3+5i

Ned and Jack are each saving money for a new smartphone. Ned initially has $65 and plans to save $5.50 per week. Jack does not have any money saved yet, but he plans to save $8.75 per week. Let x=# weeks and y=amount of money saved.

Answers

Answer:

I'm not sure exactly what you're looking but I would set up the equation like this.

y=65+5.5x   for Ned's equation

y=8.75x       for Jack's equation.

Step-by-step explanation:

This is in y=mx+b format, hopefully it helps!

GIVING BRAINIEST IF CORRECT!!!!!
Out of 300 diners, 60 ordered salads. What percent of diners ordered a salad?
A. 2%
B. 20%
C. 5%
D. 15%

Answers

Answer:

20%

Step-by-step explanation:

300 divide by 60. the answer is 20 percent

A company that makes robotic vacuums claims that their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. The consumer group plans to test the hypotheses H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model. The conditions for inference are met. What are the appropriate test statistic and P-value?
t = StartStartFraction 2.01 minus 2 OverOver StartFraction 0.893 Over StartRoot 5 EndRoot EndFraction EndEndFraction. The P-value is less than 0.0005.
t = StartStartFraction 2.01 minus 2 OverOver StartFraction 0.893 Over StartRoot 5 EndRoot EndFraction EndEndFraction. The P-value is greater than 0.25.
t = StartStartFraction 2.01 minus 2 OverOver StartRoot StartFraction 0.893 (1 minus 0.893) Over 5 EndFraction EndRoot EndEndFraction. The P-value is less than 0.0005.
t = StartStartFraction 2.01 minus 2 OverOver StartRoot StartFraction 0.893 (1 minus 0.893) Over 5 EndFraction EndRoot EndEndFraction. The P-value is greater than 0.25.

Answers

Answer:

The answer is B. t = StartStartFraction 2.01 minus 2 OverOver StartFraction 0.893 Over StartRoot 5 EndRoot EndFraction EndEndFraction. The P-value is greater than 0.25.

Step-by-step explanation:

EDGE 2021

Karl bought ​ 3 1/2 ​ gallons of milk that cost $2.70 per gallon.What was the total cost of the milk?

Answers

Answer:

The answer is 9.45

Step-by-step explanation:

2.7*3.5=9.45

Please help me and show working. I have a test very soon.

Answers

Answer:

c = 3

Step-by-step explanation:

Given

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?

Answers

Answer:

14 min on Stairmaster

16 min on Bike

Step-by-step explanation:

s = time on Stairmaster

b = time on bike

System of Equations:

s + b = 30

7s + 12b = 290

let 's' = 30-b

Substitution Method:

7(30-b) + 12b = 290

210 - 7b + 12b = 290

5b + 210 = 290

5b = 80

b = 16

s + 16 = 30

s = 14

What is 10x5721? This is for my math homework.

Answers

Answer: Seriously? It’s 57210

Step-by-step explanation:

Answer:

on the contray please help me with one of the questions idc which one

Step-by-step explanation:

answer is 57210

Solve for x HURRY PLEASE

Answers

Answer:

x = 4

Step-by-step explanation:

Intersecting chords theorem:

NQ*QL = KQ*QM

Substitute and solve for x:

2(3x) = 3(8)6x = 24x = 24/6x = 4

Answer:

Given:

KQ:3

NQ:2

MQ:8

QL:3x

According to theorem of intersecting chords

NQ×QL=QM×QK

now=

Substituting value

2×3x=8×3

x=24/6

x=4 is a required answer.

If the length between points on a map is 6 inches, 8 inches, and 9 inches, and the scale is one inch equals 5 miles, find
the distances in miles
12.16 and 18 miles
11, 13 and 14 miles
30,40 and 45 miles

Answers

Given:

The length between points on a map is 6 inches, 8 inches, and 9 inches.

The scale is one inch equals 5 miles.

To find:

The distances in miles.

Solution:

The given scale is:

1 inch = 5 miles

Using this scale, we get

6 inches = 6 × 5 miles

               = 30 miles

8 inches = 8 × 5 miles

               = 40 miles

9 inches = 9 × 5 miles

               = 45 miles

The distance is miles are 30, 40, 45 miles.

Therefore, the correct option is C.

Write in index form
9 x 9 x 4 x 4 x 4 x 9 x 9 x 9

Answers

Answer:

9^5×4^3

Step-by-step explanation:

9 has to multiply itself 5 times and 4 has to multiply itself 3 times

Answer:

[tex]9^{5}[/tex] × 4³

Step-by-step explanation:

9 is multiplied by itself 5 times and 4 is multiplied by itself 3 times.

This is expressed in index form as

[tex]9^{5}[/tex] × 4³

Re-write the quadratic function below in Standard Form
y = 3(x - 5)(x - 2)

Answers

Answer:

3x² - 21x + 30

Step-by-step explanation:

y = 3(x - 5)(x - 2) ← expand factors using FOIL

  = 3(x² - 7x + 10) ← distribute parenthesis by 3

y = 3x² - 21x + 30 ← in standard form

Can someone help me calculate the ✨surface area✨ for this prism ?
I'm not even sure if I understand the formula "( ​

Answers

Answer:

216 cm^2.

Step-by-step explanation:

Surface area = 2 * area of triangular sides + area of 3 rectangles

= 2 * 1/2 * 6 * 8 + 8*7 + 6 * 7 + 10*7

= 48 + 56 + 42 + 70

= 216.

Answer:

216cm^2

Step-by-step explanation:

The surface area is equal to the sum of areas of the walls.

We've got 2 triangular walls with area 6*8/2, for 6*8 = 48cm^2 total

We've got a wall with 7x10 = 70cm^2

We've got a wall with 6x7 = 42cm^2

And the last wall is 8x7 = 56cm^2

So total surface area is: 48 + 70 + 42 + 56 = 216

In trapezold ABCD, point D has coordinates D(1,3). If the trapezoid is translated
2 units left and 5 units down, what are the coordinates of D'?

Answers

Answer:

D’(-1,-2)

Step-by-step explanation:

Left = x -2 = 1-2 = -1

down = y-5 = 3-5 = -2

A cable that is 45 feet long is attached to the top of a vertical pole. The cable is anchored to the ground 36 feet from the base of the pole . How tall is the pole? Round your answer to the nearest hundredth .

Answers

Answer:

27

Step-by-step explanation:

What are the measures of 1 and 2? 37.1 1 2 17.30 121.8°​

Answers

Answer:

Option 2 : m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

Lets find the measure of angle 2 first:

180° - 17.3° - (180° - 121.8°) = Angle 2

                             ↑

             Angle of the straight line = 180°

             The angle should be 180 - 121.8

Angle 2 = 104.5

At this point the only answer that works is the second option, but let's still work out Angle 1

Angle 1 :

Theory of opposite angles state that the opposite angles inside a triangle = the exterior angle

in this case:

Angle 1 + 37.1 = Angle 2

Since we know angle 2 = 104.5, lets solve

Lets say angle 1 = x

x + 37.1 = 104.5

x = 104.5 - 37.1

x = 67.4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

To find:-

The measures of 1 and 2.

Solution:-

[tex]{\boxed{\mathcal{\red{Angle\: 1 \:=\: 67.4° \:}}}}[/tex]✅

[tex]{\boxed{\mathcal{\red{Angle\: 2\:=\:104.5° \:}}}}[/tex]✅

Step-by-step explanation:-

We know that,

[tex]\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

x + 121.8° = 180°

x = 180° - 121.8°

x = 58.2°

Now,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

∠ 2 + 17.3° + 58.2° = 180°

➪ ∠ 2 + 75.5° = 180°

➪ ∠ 2 = 180° - 75.5°

➪ ∠ 2 = 104.5°

[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:2\:is\:104.5°.}[/tex]

Again,

[tex]\sf\blue{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

2 + y = 180°

104.5° + y = 180°

y = 180° - 104.5°

y = 75.5°

Finally, we have

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

⇢  1 + 75.5° + 37.1° = 180°

⇢  1 + 112.6° = 180°

⇢  1 = 180° - 112.6°

⇢  1 = 67.4°

[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:1\:is\:67.4°.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

HELP DUE IN 15 MINS!

The center of a circle is (3, 2) and a point on the circle is (5, -2). Find the radius and write the equation for the circle.

Answers

Answer:

r = [tex]2\sqrt{5}[/tex]

[tex](x - 3)^{2} + ( y - 2)^{2} = 20[/tex]

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

[tex]r^{2}[/tex] = [tex]{(3 - 5)^{2} + (2 + 2)^{2} }[/tex]

    =  [tex](-2)^{2} + 4^{2}[/tex]

    =  4 + 16 = 20

r = [tex]\sqrt{20 } = 2\sqrt{5}[/tex]

Equation of circle:   [tex](x - 3)^{2} + ( y - 2)^{2} = 20[/tex]

Answer:

Radius: [tex]2\sqrt{5}[/tex]

Equation of circle: [tex](x-3)^2+(y-2)^2=20[/tex]

Step-by-step explanation:

The radius of a circle is equal to the distance between the center of the circle and any point on the circle. Therefore, we have:

[tex]r=\sqrt{(5-3)^2+(2-(-2))^2},\\r=\sqrt{2^2+4^2},\\r=\sqrt{20}=\boxed{2\sqrt{5}}[/tex]

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex].

What we know:

radius of [tex]2\sqrt{5}[/tex] center at [tex](3, 2)[/tex]

Substituting known values, we get:

[tex](x-3)^2+(y-3)^2=(2\sqrt{5})^2,\\\boxed{(x-3)^2+(y-2)^2=20}[/tex]

A bakery sells chocolate, vanilla, and strawberry cakes. The cakes are sold randomly to customers. If there are 6 chocolate cakes, 12 vanilla cakes, and 9 strawberry cakes, what is the probability that you order a cake and get a vanilla or strawberry cake?

Answers

The answer is 12/27 I think

What is the equation, in standard form, of a circle with center (−5, 8) and radius 5?

Enter your answer by filling in the boxes.

Answers

Answer:

( x + 5 )² + ( y - 8 )² = 25

Step-by-step explanation:

Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²

Where r = radius and Center is located at ( h , k )

We are given that the center is at ( -5 , 8 )

Thus, h = -5 and k = 8

We are also given that the radius = 5

Thus, r = 5

Now we just plug all of the given values into the standard form equation

( x - (-5))² + ( y - 8 )² = 5²

*simplify*

in - ( - 5 ) the two negative sign cancel out and it turns into + 5

5² = 25

Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25

Please help me find domain/ range and equation

Answers

Answer:

The domain is the x axis from - 10 to 10 horizontal and the range is the y axis - 10 to 10 vertical

Range = (-infinity, infinity)

Domain = (-infinity, infinity)

The general form of a cubic equation not centered at the origin is y = a(x - h)^2 + k.

From the picture, a = -1, h = 4 and k = -2.

Your equation is y = -(x - 4)^3 - 2.

What is the measure of APD? (6x - 10) (4x + 8)

Answers

Answer: 24x + 8x - 80

Step-by-step explanation: ohh its right

Which is the correct from of the quadratic formula?

Answers

Answer:

Step-by-step explanation:

The quadratic formula allows us to solve any quadratic equation that's in the form ax^2 + bx + c = 0.

(The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) .)

EASY MATH PLEASE HELP! NO LINKS! NEED COMPLETE EXPLAINATION WITH ANSWER!!

Answers

Answer: a.) 18 x 8

Step-by-step explanation: if you break down the equation 6^3= 18 and 4^2=8 then take 18x8 simple as that

A scuba diver dove 313 feet below sea level then rose 26 feet?

Answers

Answer:

I think the answer would be 287?

Step-by-step explanation:

287 is the answer

313 - 26 = 287

As a rule of thumb, one gallon of paint will usually cover 400 square feet.

If Thomas is painting a hallway and the measurements are 12 feet high and 75 feet wide, what is the minimum amount of cans of paint he will need to paint the hallway?

Question 5 options:

1


2


3


4


5

Answers

Answer:

3?

Step-by-step explanation:

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