Rebecca started with 30 pieces of candy and gave away x
pieces. Ana started with 45 pieces of candy and gave away
twice as many pieces as Rebecca did. How many pieces of
candy did Rebecca give away if they had the same number of
pieces of candy left?

Answers

Answer 1

Answer:

The correct answer would be 15.

Step-by-step explanation:

30-15=15

45-2(15)=15

Answer 2
Best answer should be the 15

Related Questions

Hi....................

Answers

good evening ,

Answer:

The right answer is the first one

Step-by-step explanation:

Area = length × width

m = (1/5)×(2/3).

:)

tamara Travels by plane to visit her sister in California once a month if tomorrow travels a total distance of 2753 miles each time she visits her sister how many miles does she travel to visit her sister each year.?​

Answers

tamara travels 33,036 miles in a year

hope this helps!

what percentage of Priya's distance did Tyler walk​

Answers

Answer:

whats priya and tylers distance?

Explain the process to add two integers that have the same sign.

Answers

Answer:

When adding two integers with the same sign, keep the sign and add the absolute value of each number

Step-by-step explanation:

Answer:

keep the sign and add each number

Step-by-step explanation:

if x varies directly as y, find x when y=8. x=14 when y=-2

Answers

Answer:

4

Step-by-step explanation:

x-y

14-8=6

so x is 6 more than y

y+6=x

y= -2. -2 + 6 = 4

Answer:4

Step-by-step explanation:

i don’t know

Please answer this correctly is the answer
8:29am
1:29pm
11:53am
1:17am

Answers

1:17 am is the answer

Answer:

8:29 AM

Step-by-step explanation:

The plane will arrive in California at 10:89 or 11:29 AM (eastern time) .From the eastern time period to the pacific time period, the time will decrease by 3 hours. 11:29 AM -3 hours is 8:29 AM. So when the plane arrives in California, the time should be 8:29 AM Pacific time.

Baking
There are 4 sticks in one pound
of butter. Each stick is equal to
8 tablespoons or cup. The recipe
that Samantha is making calls for
13 cups of butter. How many sticks
of butter does she need? What is
the weight of the butter she needs
for her recipe?​

Answers

Answer:

26 sticks of butter; 6 and a half pounds (6lbs, 8 ounces)

Step-by-step explanation:

We know from the question that each stick of butter weighs 0.25 pounds or 4 ounces

(There are 16 ounces in a pound)

We also know that each stick of butter is equal to 8 tablespoons.

(There are also 16 tablespoons in a cup)

Therefore, you need 2 sticks of butter to make 1 cup of butter. The recipe calls for 13 cups of butter. 13•2 is equal to 26. So it takes 26 sticks of butter to make 13 cups of butter. And if each sticks weighs 0.25 pounds, we can work out 26•0.25 to get 6.5 pounds.

Hope it helped!

In general, which of the following is the best type of font to use in a slide
presentation?
A. A serif font in size 18-point
O
B. A sans serif font in size 30-point
O
C. A sans serif font in size 10-point
D. A serif font in size 10-point

Answers

Answer:

B. A sans serif font in size 30-point

Step-by-step explanation:

18, 10 and 10 are too small therefore 30 would be the correct font size.

The best type of front to use in a slide presentation is a sans serif font in size 30-point. That is option B.

What is a slide presentation?

A slide presentation is a type of presentation that involves the use of typed pages or pictures that contains information which are displayed in a screen.

The best type of font used in a slide presentation goes to the sans serif font with a size of 30 point. This is because, they lack the edge strokes and they are easy to read.

Therefore, the best type of front to use in a slide presentation is a sans serif font in size 30-point.

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10. How can you use similar triangles to solve real-world problems?​

Answers

Final answer:

Similar triangles can be used to solve real-world problems by applying the concept of proportionality. By comparing corresponding sides of similar triangles, you can find the unknown measurements.

Explanation:

Similar triangles can be used to solve real-world problems by applying the concept of proportionality. In a pair of similar triangles, corresponding sides are in proportion to each other. This means that if you know the measurements of one triangle, you can use the ratios of corresponding sides to find the measurements of the other triangle.

For example, if you have a 10-meter tall tree and its shadow is 5 meters long, and you want to determine the height of a nearby building using the shadow it casts, you can set up a proportion using the tree's height and shadow length as one ratio and the building's height and its shadow length as the other ratio. By solving this proportion, you can find the height of the building.

Similar triangles can be used to solve various real-world problems involving measurements such as distances, heights, widths, and more. By identifying corresponding sides and setting up ratios, you can find the unknown measurements.

How is the information in the "Before" section of the "Volcanoes" page
organized?
O
A. The section provides information on how to protect your family
and your property in the event of a volcanic eruption.
B. The section points out things to be aware of and what to avoid
should a volcanic eruption occur near your home.
O
C. The section directs you to more information on volcanic eruptions
and links to related websites.
O
D. The section describes things that you can do to ensure your safety
in the aftermath of a volcanic eruption.

Answers

Answer:

ChatGPT 3.5

Log in

The section provides information on how to protect your family

and your property in the event of a volcanic eruption.

ChatGPT

Protecting your family and property during a volcanic eruption involves several key steps:

Stay Informed: Monitor local news and authorities for updates on volcanic activity. Follow evacuation orders promptly.

Emergency Kit: Prepare an emergency kit with essentials such as water, non-perishable food, medications, and first aid supplies.

Evacuation Plan: Have a family evacuation plan in place. Identify multiple evacuation routes and meeting points.

Protective Gear: Keep protective gear such as N95 masks and goggles on hand to shield against ash and debris.

Shelter: If advised to stay indoors, close all windows and doors. Use damp towels to block gaps and protect against ash.

Animals and Livestock: Arrange for the care and evacuation of pets and livestock.

Document Protection: Safeguard important documents like identification, insurance papers, and property records in a waterproof container.

Communication: Ensure everyone in your household knows how to communicate during emergencies, and have a designated out-of-area contact.

Post-Eruption Safety: Be cautious of post-eruption hazards such as lahars (mudflows), ashfall, and potential secondary eruptions.

Recovery: Follow official guidance before returning home. Be prepared for potential disruptions to utilities and infrastructure.

By taking these precautions and staying informed, you can help protect your family and property during a volcanic eruption.

Which fact is most helpful for finding 2,100÷7

Answers

Answer:21/7

Step-by-step explanation:

Final answer:

The main fact that helps you solve 2,100 ÷ 7 is understanding that division is splitting into equal parts. Doing this with 2,100 split into 7 gives you a result of 300.

Explanation:

The fact that's most helpful in finding the result of 2,100 ÷ 7 is understanding the basic operation of division. Division is splitting into equal parts or groups. It is the result of 'fair sharing'. So, if you have 2,100 and you divide it into 7 equal groups, how much is in each group? We do this by taking 2,100 and divvying it up 7 times. The result will be 300. So, 2,100 ÷ 7 = 300.

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An orchard has 651 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in a row

Answers

Answer:

The number of trees in each row is  21.

Step-by-step explanation:

Let us assume the number of trees in each row  = m

So, the number of rows in the orchard = Number of trees in each row + 10

or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651  = m (m + 10)

[tex]651 = m^2 + 10m\\\implies  m^2 + 10m - 651 =0\\or,   m^2 + 31m  21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0[/tex]

(m +31) = 0, or (m-21) = 0

⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m =  21

Hence, the number of trees in each row is m = 21.

what is 13.5% of $125?​

Answers

You multiply .135 by 125 and you end up with 16.875
Indeed, you multiply .135 by 125 to get 16.875. Hope this helps, have a great afternoon :)

Use the Distributive property to expand the expression y(9-0.2x)

Answers

Answer:

9y - 0.2xy is the answer after applying Distributive property.

Step-by-step explanation:

Given:

[tex]y(9-0.2x)[/tex]

To Find:

Expression after applying Distributive property.

Solution:

Distributive property:

In Distributive property, it lets you multiply a sum by multiplying each addend separately and then add the products.

OK, that definition is not really helpful for most people. It is easier to understand the meaning if you look at the examples below.

i.e A (B + C) = A×B + A×C

On Applying Distributive property to the given expression we get,

[tex]y(9-0.2x)=y\times 9-y\times0.2\times x\\y(9-0.2x)=9y-0.2\times x\times y[/tex]

[tex]\therefore y(9-0.2x)=9y-0.2xy \ \ \ \textrm{we can write xy or yx it same as 2*3 = 3*2 = 6}[/tex]

9y - 0.2xy

is the answer after applying Distributive property.

Final answer:

The expression y(9-0.2x) expands to 9y - 0.2xy using the distributive property, where y is multiplied by each term inside the parentheses.

Explanation:

To expand the expression y(9-0.2x) using the distributive property, you multiply y by each term inside the parentheses. Applying the distributive property, we get:

y × 9 - y × 0.2x

Which simplifies to:

9y - 0.2xy

This is the expanded form of the given expression.

Explain the effect of C on the graph of Y=f(x) for the function y=f(x+c)

Answers

f(x) + c -> up by c

f(x) - c -> down by c

f(x + c) -> left by c

f(x - c) -> right by c

For y = f(x + c), the y value of x now takes the y value of the function of x + c, or the one c to the right of x, shifting the entire graph left by c.

Final answer:

The function y=f(x+c) signifies a horizontal shift of the graph y=f(x). The graph shifts left if 'c' is positive and right if 'c' is negative.

Explanation:

In mathematics, y=f(x+c) represents a transformation of the graph y=f(x). Specifically, the addition of the constant 'c' in the function results in a horizontal shift of the graph. If 'c' is positive, then the graph moves to the left by 'c' units. If 'c' is negative, then the graph moves to the right by 'c' units.

Let's look at an example to illustrate this. Consider the function y = f(x) where f(x) = x^2, the graph is a parabola centered on the origin (0,0). If we transform this function into y = f(x+c), where c = 2, the resulting graph y = (x+2)^2 would be a parabola shifted 2 units to the left of the origin.

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-3(5a - 5) + 6a = 31 – 5a​

Answers

Hey there! :)

-3(5a - 5) + 6a = 31 - 5a

Simplify! -15a + 15 + 6a = 31 - 5a

We must get all variables to one side and everything else to the other so that we can add like terms, so we can start by subtracting 15 from both sides. Additionally, add 5a to both sides.

-15a + 6a + 5a = 31 - 15

Simplify.-4a = 16

Divide both sides by -4.

-4a ÷ -4 = 16 ÷ -4

Simplify.

a = -4

~Hope this helped! :)

Answer:

[tex]a = 4[/tex]

Step-by-step explanation:

[tex] - 3(5a - 5) + 6a = 31 - 5a[/tex]

Solve the brackets.

[tex] - 15a + 15 + 6a = 31 - 5a[/tex]

Combine like terms.

[tex]-9a + 15 = 31 - 5a[/tex]

Take -5a to left side and 15 to the right.

[tex]-9a + 5a = 31 - 15[/tex]

Combine like terms.

[tex]-4a = 16[/tex]

Divide both sides by -4.

[tex]a = -4[/tex]

Can someone please help me? Thanks

Answers

Answer:

693 sq. m.

Step-by-step explanation:

The figure consists of a triangular prism (Bottom Part) and a Triangular Pyramid (Top Part). We will find the volume of each and add it up to get volume of total figure.

1. Volume of Triangular Prism = Area of Triangular Base * Height

Area of Triangular Base = (1/2)*base*height

Given that the triangle is a right triangle, we find the unknown side by using Pythagorean Theorem, which tells us:

Leg^2 + Another Leg^2 = Hypotenuse^2

8.8^2 + Another Leg^2 = 13.7^2

77.44+ Another Leg^2 = 187.69

Another Leg (unknown side, or the base of the triangle) = Sqrt(187.69-77.44) = 10.5 (this is base of triangle)

So, we have:

Area of Triangular Base = [tex]\frac{1}{2}*10.5*8.8=46.2[/tex]

Thus,

Volume of Triangular Prism = 46.2 * 10(given) = 462 sq.m.

2. Volume of Triangular Pyramid = (1/3) * area of triangular base * height

Here, area of triangular pyramid is 46.2 (already found)

the height of the pyramid is 25 - 10 = 15

SO, we have:

Volume of Triangular Pyramid = [tex]\frac{1}{3}*46.2*15=231[/tex] sq. m.

Now we sum them up and get total volume of the figure:

Total Volume of Figure = 462+ 231 = 693 sq. m.

come quic 5 qts .. pics provided !! answer correctly plz!!

Answers

Answer:

First one is D.

Second one is A.

Step-by-step explanation:

(y2 - y1) ÷ (x2 - x1)(-3,-2) and (4,0)(0 + 2) ÷ (4 + 3)2/7Slope = 2/7

(3,5) and (-2, -4)(-4 - 5) ÷ (-2 - 3Slope = -9/-5Two negatives equal a positive

Brenda and her best friend went on a vacation together. They both paid for a flight, and Brenda had a fancy room for $150 per night, for a total of $1,500. Her friend had a smaller room for $120 per night, for a total of $1,320.

Part A
Write and solve a system of linear equations to find the cost of the flight, x, and the number of nights on their vacation, y. Complete the equation for Brenda's costs first.
______x + ______y = _______
______x + ______y = _______
The flights were $___ each, and they stayed ___nights.

Part B
If a third friend joined them and stayed in a mid-range room for $130 per night, how much would her vacation cost?

Answers

Answer:

A. 2x + 150y = 1,500

   2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. $1,380

Step-by-step explanation:

Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.

A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights.  Brenda's total is $1,500, then

[tex]150y+2x=1,500[/tex]

Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights.  Brenda's friend total is $1,320, then

[tex]120y+2x=1,320[/tex]

Subtract two equations:

[tex]150y+2x-120y-2x=1,500-1,320\\ \\30y=180\\ \\y=6[/tex]

Substitute into the first equation:

[tex]150\cdot 6+2x=1,500\\ \\900+2x=1,500\\ \\2x=600\\ \\x=300[/tex]

Hence

2x + 150y = 1,500

2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. If a third friend joined them and stayed in a mid-range room for $130 per night, then he paid [tex]\$130\cdot 6=\$780[/tex]

The total cost is

[tex]\$780+\$600=\$1,380[/tex]

Fred has $27 to buy sketch paper for his art class. Each sketch pad costs $2.
How many sketch pads can he buy? Do not include units in your answer.

Answers

Answer: 13

Step-by-step explanation:

13x2=26 and since you cant have a half sketch pad he can only have 13.

Final answer:

Fred can buy 13 sketch pads with his $27, as each pad costs $2 and after dividing $27 by $2, the result is 13.5, which rounds down to 13 because he cannot purchase half a sketch pad.

Explanation:

Fred has $27 to buy sketch paper, and each sketch pad costs $2. To find out how many sketch pads he can buy, we divide the total amount of money Fred has by the cost of each sketch pad.

So, we calculate this by performing the division:

Number of sketch pads = Total money / Cost of each sketch pad

Number of sketch pads = $27 / $2 = 13.5

Since Fred cannot buy half a sketch pad, we'll round down to the nearest whole number, which means Fred can buy 13 sketch pads with the money he has.

. An experiment shows that the element
mercury has a density of 13.57 g/cm². What is
the volume of 1.000 kg of pure mercury?
A. 0.7369 cm3 C. 73.69 cm3
B. 13.57 cm3 D. 1,357 cm3

Answers

Answer:

C

Step-by-step explanation:

D=m/v

Rearranging the formula

v=m/D

V=1000/13.56

V=73.69 cm3

Answer:

v = 73.69 cm²

Step-by-step explanation:

V = m/p

Where,

v is volume

m is mass

p is density

So,

v = 1000 / 13.57

v = 73.69 cm²

I believe that this maybe a wrong answer because 1000 kg is suppose to be converted to g but since the answer (which is 73692 cm³) would not meet any of the options, I would have to go for that answer.

From least to greates -4 3/7, -4 5/6, -5 3/7, 4 2/7, 5 1/7

Answers

Answer:

The least number is - 5 3/7.

Then in order we have - 4 5/6.

- 4 3/7

4 2/7

And the greatest is 5 1/7.

Step-by-step explanation:

1. Let's look for the least number of this set and then continue to order them until we find the greatest, this way:

The least number is - 5 3/7 because is the biggest negative number among the three given to us.

The second least number is - 4 5/6, that is < - 5 3/7 and > than - 4 3/7. Their whole number is the same but the fraction part is bigger: 5/6 > 3/7 or 0.83 > 0.42.

The third number is the only negative number remaining: - 4 3/7.

Now, the fourth term in order is 4 2/7, because it's < 5 1/7.

Finally, the greatest number of the set given to us is 5 1/7.


7. Noah has 4 cm of a sweater already completed. He knits 2 cm per hour.
What would be the total length of sweater after 3 hours of knitting?

Answers

Answer:

10 cm

Step-by-step explanation:

if he knits 2cm per hour we can times it by 3 hours and get 6cm then he already had 4cm done so we will need to add that to it and get 10cm

the equatorial circumference of Earth is 4.01 * 10^4 kilometers. One kilometer is equivalent to 3.94 x 10^4 inches. What is the Equatorial circumference of Earth in inches?​

Answers

Answer: [tex]1,579,940,000\ inches[/tex]

Step-by-step explanation:

Let be "x" the  Equatorial circumference of Earth in inches.

Based on the data given in the exercise, you know that the equatorial circumference of Earth is [tex]4.01 * 10^4\ kilometers[/tex].

You also know that:

[tex]1\ kilometer=3.94* 10^4\ inches.[/tex]

 Then, you can set up the following proportion:

[tex]\frac{3.94*10^4\ inches}{1\ kilometer}=\frac{x}{4.01 * 10^4\ kilometers}[/tex]

Finally, you must solve for "x" in order to find its value.

Applying this procedure you get the following result:

[tex](4.01 * 10^4\ kilometers)(\frac{3.94*10^4\ inches}{1\ kilometer})=x\\\\x=1,579,940,000\ inches[/tex]

Final answer:

The equatorial circumference of Earth in inches is found by multiplying the given circumference in kilometers by the conversion from kilometers to inches.

Explanation:

The equatorial circumference of Earth is stated to be  [tex]4.01 \times 10^4[/tex] kilometers. We also have the conversion factor that 1 kilometer is equivalent to [tex]3.94 \times 10^4[/tex]inches. We can find the equatorial circumference of Earth in inches by multiplying the circumference in kilometers by the conversion factor.

So, the calculation becomes:  [tex]4.01 \times 10^4 km \times 3.94 \times 10^4 inches/km.[/tex] The kilometers cancel out and the result will be in inches. This type of conversion is a common task in mathematics and physics where we often have to switch between units of measurement.

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What is the measure of the exterior angle ?
70
180
110

Answers

Answer:

110

Step-by-step explanation:

A bump is 180 degrees as well as a triangle. So 90+20=110 and 180-110=70. Meaning 180-70 =110

Answer:

110

Step-by-step explanation:

Solve for the angle in the triangle

70+90+ x=180180-110= xx=70

solve for the "?"

180=70+?180-70=?110=?

Brianna hoped to get 100 pumpkins from her garden this year. Since the weather was​ favorable, 20​% more pumpkins grew than she expected.​ Unfortunately, animals ate 30​% of all the pumpkins that grew. How many pumpkins were​ left? Is the final number of pumpkins more than or less than she ​hoped?

Answers

Answer:

84 pumpkins; less than she expected

Step-by-step explanation:

Find 20% of 100 and add the percent to 100. That is 120.Then find 30% of 120, which is 36. Then do 100-36 to get 84 pumpkins. That is less than 100 so she got less than she hoped.

The final number of pumpkins less than she ​hoped is 84 pumpkins.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100.

A percentage is a dimensionless number, it has no unit of measurement.

Brianna hoped to get = 100 pumpkins

percentage of increased yield = 20%

∴ number of pumpkins = 100*20/100

                                      = 20 pumpkins more.

      total pumpkins yield = 100 + 20 = 120.

percentage of pumpkins animals eat = 30%

          ∴ number of pumpkins = 120*30/100

                                      = 36 pumpkins more.

total number of pumpkins she left = 120 - 36

                                                       = 84.  answer.

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6x - 5 (4y - 3x) + 4y​

Answers

Answer:

21x - 16y

Step-by-step explanation:

First you need to multiply 5 with the numbers inside the brackets ( -5 x 4y= -20y and -5 x -3x = 15x ) so you will get 6x - 20y + 15x + 4y now you just add 15x plus 6x to get 21x and add 4y to -20y to get -16y so your answer should look like 21x - 16y.

Hope this helps!

Uncle Gino's pizza parlor sold 200 sausage pizza last week . that was 80% of the total pizza they sold .how many total pizzas did they sell last week ?​

Answers

Answer:

Uncle Ginos sold 250 pizzas last week

At the end of the summer, a store marks down all the outdoor furniture 20%. A family bought 4 chairs that originally cost $102. How much was the cost of the 4 chairs?

Answers

Answer:

$81.60

Step-by-step explanation:

A 20% markdown means that the chairs were sold at 80% of the original cost.

Original cost = $102

markdown = 20%

Cost after markdown = original cost* (1-markdown)

Cost after markdown = 102 *(1 - 0.20)

= 102*0.80

= 81.6

Therefore, the 4 chairs were sold at a total cost of $81.60

simplest form of 8/10

Answers

Answer:

a.3/4 b.2/3

Step-by-step explanation:

Answer:

a) 3/4

b) 2/3

Step-by-step explanation:

a)    15    ÷    5           3

     _________ =  ____

      20   ÷    5           4

b)     8     ÷    4           2

      _________ =  ____

       12    ÷    4           3  

Hope this helps OwO!

Other Questions
If unions help workers secure pension benefits, so that those workers are less dependent on government social assistance after their retirement, then a. the for-profit unionized industries will be less productive. b. the for-profit unionized industries will be harmed. c. the union is economically harmful. d. the union is economically beneficial. A yeast cell is transported from an environment with oxygen to a completely oxygen-free environment. Which of the following answer choices best describes the metabolic changes that will occur in the yeast cell? Choose 1 answer: Choose 1 answer: (Choice A) A Glycolysis will still occur and pyruvate will undergo alcohol fermentation, but the Krebs cycle and oxidative phosphorylation will not occur. (Choice B) B Glycolysis will still occur, but pyruvate will not form, causing the yeast cell to undergo alcohol fermentation. (Choice C) C Glycolysis will still occur, pyruvate will still form, causing the yeast cell to undergo lactic acid fermentation. (Choice D) D Glycolysis will not occur and pyruvate will not form, causing the yeast cell to undergo alcohol fermentation. What type of arthropod appendage is comprised of a single series of segments attached end-to-end what is the slope and y intercept of the function k(x)=7/9x-2 The Compromise of 1850 admitted California as a free state, reinforced the property rights of owners whose slaves escaped into another state, and eliminated the slave trade in Washington, D.C. Section 5.4 Exercise 16The mean household income in a country in a recent year was about $69,953 and the standard deviation was about $90,000. (The median income was $55,517)a) If a Normal model was used for these incomes, what would be the household income of the top 4%?b) How confident should one be in the answer in part a?c) Why might the Normal model not be a good one for incomes?a) The income would be s(Round to the nearest dollar as needed) . Assume that the dollar-Euro exchange rate (E$/) = 1.1, the U.S. interest rate is 4% and the Euro interest rate is 1%, and that covered interest parity holds. a. How many Euros will an American investor with $1,000 have a year from now? b. What is the forward exchange rate (F$/) ? A backpack is normally $64.99,but sale,it is marked down to $45.49.what percent off is the sale price? Two pop cans are at rest on a stand. A firecracker is placed between the cans and lit. The firecracker explodes and exerts equal and opposite forces on the two cans. Assuming the system of two cans to be isolated, the post-explosion momentum of the system ____.a. is dependent upon the mass and velocities of the two cansb. is dependent upon the velocities of the two cans (but not their mass)c. is typically a very large valued. can be a positive, negative or zero valuee. is definitely zero Parker & Stone, Inc., is looking at setting up a new manufacturing plant in South Park to produce garden tools. The company bought some land six years ago for $4.6 million in anticipation of using it as a warehouse and distribution site, but the company has since decided to rent these facilities from a competitor instead. If the land were sold today, the company would net $4.9 million. The company wants to build its new manufacturing plant on this land; the plant will cost $12.1 million to build, and the site requires $730,000 worth of grading before it is suitable for construction. What is the proper cash flow amount to use as the initial investment in fixed assets when evaluating this project? Advantages of outsourcing project work may likely include all of the following EXCEPT:a. Increased flexibility.b. Higher level of expertise. c. Shortened project duration.d. Reduced costs. e. Reduced conflict. Describe how the variability of the distribution changes as the sample size increases. As the sample size increases, the variability decreases. It cannot be determined. As the sample size increases, the variability stays the same. As the sample size increases, the variability increases. The board of directors of a corporation must select a president a secretary and a treasurer in how many possible ways can this be accomplished if there are 22 members on the board of directors Three consecutive even integers have the property that when the difference between the first and twice the second is found, the result is eight more than the third. Find the three consecutive even integers All else being equal, if you cut the sample size in half, how does this affect the margin of error when using the sample to make a statistical inference about the mean of the normally distributed population from which it was drawn? . The margin of error is multiplied by . The margin of error is multiplied by . The margin of error is multiplied by 0.5. The margin of error is multiplied by 2. what is -87 = 1 + 8x? Scott buys candy that costs $8 per pound. He will buy at least 5 pounds of candy. What are the possible amounts he will spend on candy?Use c for the amount (in dollars) Scott will spend on candy.Write your answer as an inequality solved for c . Which unit rate is higher 24 for 5 or 5 for 24 which of these is the best way to avoid gun violence A. Carry a gun for protectionB. Be assertive but not aggressive C. Escalate every situationD. React without thinking HOMEWORKSolve.3. Henry's desk is 1 meter long. His nametag is8 centimeters long. Henry says his nametag is7 centimeters longer than his desk. What errordid Henry make? Explain how to correct it.