Paul picked and bagged a total of 30 pounds of apples on Saturday and Sunday. He filled each bag with 5 pounds of apples. On Saturday, Paul filled 2 bags with apples. How many bags did Paul fill with apples on Sunday? Complete and solve the equation to show how many bags Paul filled with apples on Sunday.

Answers

Answer 1

Answer:

Answer:

Paul filled 4 bags on Sunday.

Step-by-step explanation:

Since each bag that was filled weighed 5 pounds then we can use the following equation to solve for the amount of bags, where (x) is the number of bags filled on Saturday and (y) is the number of bags filled on Sunday.

5x + 5y = 30

Now since we are told that on Saturday Paul filled 2 bags then we would only be left with the variable y (number of bags filled on Sunday). We can solve for y

5(2) + 5y = 30

10 + 5y = 30 ... subtract 10 on both sides

5y = 20 ... divide by 5 on both sides

y = 4

Finally, we can see that Paul filled 4 bags on Sunday.

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20 pointsA large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Whichstatements can be used to write an expression and then find the number of peanuts that ended up in each bag?Check all that apply.The operation is division.The operation is multiplication.The variable is the number of bags.342 divided by 6 equals 57.Write the division expression as a fraction,To evaluate, substitute 342 for the variable.Each bag will have 57 peanuts.The constant is 342.
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300 reduced by twice my age is 192

Answers

If 300 reduced by twice your age is equal to 192, your age (represented by x) would be 54 years old.

To solve the given equation "300 reduced by twice my age is 192," we can represent the equation using algebraic notation.

Let's assume "x" represents your age. The equation can be written as:

300 - 2x = 192

Now, let's solve for x:

300 - 192 = 2x

108 = 2x

54 = x

Therefore, if 300 reduced by twice your age is equal to 192, your age (represented by x) would be 54 years old.

To know more about algebraic notation:

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well u divide 300 by 2 which is 150 so u will be 150

Find the real-number root.001O no real rootsO 0.1O 0.1 and 0.1O 0.1 I need help

Answers

for cube roots of a positive number, it could have a real number of a negative number but has to contain 2 negatives if it does and one positive. Eg. (-)*(-)* (+) = +

0.001 can be made by multiplying 3 0.1's (0.1^3)
However, we are finding the root here so my explanation above tells us that a cuberoot of a positive number is never a negative.

So the answer is 0.1

0.1

0.1^3 = 0.1*0.1*0.1 = 0.01*0.1 = 0.001

Which three-dimensional figures have lateral faces that are polygons? Check all that apply

Answers

Question:

Which three-dimensional figures have lateral faces that are polygons? check all that apply.

- cones

- cylinders

- hemispheres

- prisms

- pyramids

- spheres

Answer:

The correct choices are;

- prisms and

- pyramids

Step-by-step explanation:

A polygon is a figure closed or bounded with several straight line segments and polygons are named based on how many sides, side size and sizes of angles that they have present.

A three sided polygon for example is called a triangle

A lateral face are the faces of a prism except the base

Based on the definitions, we note that out of the options, only prisms, and pyramids have lateral faces that are made up entirely of straight line segments, hence polygons. Therefore, the correct choices are prisms and pyramids.

Answer:

Actually the correct is Cylinders, Prisms, and Pyramids. I just did it

Step-by-step explanation:

How do I differentiate (200000ln(t-0.1))/(39.95t^2)

Answers

$f(x)=(200000\ln(t-0.1))/(39.95t^2)=(4000000)/(799)\cdot(\ln(t-0.1))/(t^2)\nf'(x)=(4000000)/(799)\cdot((1)/(t-0.1)\cdot t^2-\ln(t-0.1)\cdot2t)/(t^4)\nf'(x)=(4000000)/(799)\cdot((t)/(t-0.1)-2\ln(t-0.1))/(t^3)\nf'(x)=(4000000\left((t)/(t-0.1)-2\ln(t-0.1)\right))/(799t^3)$

Answer:

$\frac { dy }{ dt } =\frac { 8\cdot { 10 }^( 6 ) }{ 799{ t }^( 2 ) } \left\{ \frac { 5 }{ 10t-1 } -\frac { \ln { \left( t-\frac { 1 }{ 10 } \right) } }{ t } \right\}$

Workings below. Don't know if it could've have been simplified further.

I've made a "smooth criminal" version, just in case you like things compressed.

$\frac { dy }{ dt } =\frac { n }{ { t }^( 2 ) } \left\{ \frac { 1 }{ t-k } -\frac { \ln { \left( { \left( t-k \right) }^( 2 ) \right) } }{ t } \right\} \n \n n=\frac { 4\cdot { 10 }^( 6 ) }{ 799 } ,\quad k=\frac { 1 }{ 10 }$

Find the sum of the first 8 terms of the sequence. Show all work for full credit.1, -3, -7, -11, ...

Answers

$1, -3, -7, -11, ...\ \ \ \ \rightarrow\ \ \ the\ arithmetic\ sequence\n\nthe\ difference\ of\ the\ sequence\ is\ \ \ \ d=-3-1=-4\n\nthe\ sum:\ \ \ \ S_n= \frac{\big{2\cdot a_1+(n-1)\cdot d}}{\big{2}} \cdot n\n\n\nS_8= \frac{\big{2\cdot1+(8-1)\cdot(-4)}}{\big{2}} \cdot8=(2-28)\cdot4=-26\cdot4=-104\n\nAns.\ The\ sum\ is\ -104.$

1 - 4 = -3. -3 - 4 = -11.

subtract by -4 until you have 8 numbers.

then add al the numbers together.

1+-3+-7+-11+-15+-19+-23+-27 = -104

Courtney reads around 110 words per minute. She procrastinated and now has less than a week to finish her reading assignment. If the book she needs to finish has another 820 pages left and each page has around 350 words, how many hours can Courtney complete her assignment?

Answers

820 pages X 350 words = 287,000 words

287,000 / 110 = 2.609.09 minutes

2.609.09 / 60 = 43.48 hours

It would take about 2 days of non-stop reading to finish her assignment

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