There are 279 middle school students signed up for a field trip. An adult needs to be assigned to guide every 8 students. Mr. Corcoran determines that 34 adults are needed for the field trip. Explain whether or not Mr. Corcoran is correct.

Complete Question:

Last year Mr. Petersen’s rectangular garden had a width of 5 meters and an area of 20 square meters.  This year he wants to make the garden three times as long and two times as wide.  

Last year, Mr. Petersen had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year, but he needs to buy more fencing to go around this year’s garden.  

How many more meters of fencing is needed for this year’s garden than last year’s?

Answer:

26 meters of fencing needed

Step-by-step explanation:

Given

Last Year:

[tex]Width = 5m[/tex]

[tex]Area = 20m^2[/tex]

This Year:

[tex]Length = 3\ times\ longer[/tex]

[tex]Width = 2\ times\ wider[/tex]

Required

Determine how many more meters is needed

Represent last year's length of Fence with L and last year's width with W

First, we need to calculate L

[tex]Area = L * W[/tex]

Where

[tex]Area = 20m^2[/tex]

[tex]W = 5m[/tex]

[tex]20m^2 = L * 5m[/tex]

Divide both sides by 5m

[tex]\frac{20m^2}{5m} = \frac{L * 5m}{5m}[/tex]

[tex]\frac{20m^2}{5m} = L[/tex]

[tex]L = \frac{20m^2}{5m}[/tex]

[tex]L = 4m[/tex]

So, we have that:

For Last Year

[tex]Length = 4m[/tex] and [tex]Width = 5m[/tex]

For this year:

[tex]Length = 3\ times\ longer[/tex]

[tex]Length = 3 * 4m[/tex]

[tex]Length = 12m[/tex]

[tex]Width = 2\ times\ wider[/tex]

[tex]Width = 2 * 5m[/tex]

[tex]Width = 10m[/tex]

So, for this year, we have:

[tex]Length = 12m[/tex] and [tex]Width = 10m[/tex]

Next, we calculate perimeter of fencing in both years.

[tex]Perimeter = 2 * (Length + Width)[/tex]

Last Year:

[tex]Perimeter = 2 * (4m + 5m)[/tex]

[tex]Perimeter = 2 * 9m[/tex]

[tex]Perimeter = 18m[/tex]

This Year:

[tex]Perimeter = 2 * (12m + 10m)[/tex]

[tex]Perimeter = 2 * 22m[/tex]

[tex]Perimeter = 44m[/tex]

To get the meters of fencing needed this year, we simply calculate the difference in the calculated perimeters.

[tex]Difference = 44m - 18m[/tex]

[tex]Difference = 26m[/tex]

Hence, there are 26 meters of fencing needed

Answer:

3,400

Step-by-step explanation:

Answer:

I believe it is D. not sure tho

Answer:

A. 62%

Step-by-step explanation:

64.50x = 40

x = 0.62015 or 62%

This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.

Answer:

25% reduced

Step-by-step explanation:

45/60= .75

1-.75=.25

Answer:

4

Step-by-step explanation:

You see the hunderth digit has a 8, so you round up. 0.9+0.1=1 so you add 1 to 3, so 3.987 rounded is 4

Answer:

[tex]\frac{5}{3} \times\frac{9}{19}[/tex]

Step-by-step explanation:

In order to simplify this equation you need to convert these whole number fractions into improper fractions and then use KCF. (Keep, Change, Flip)

[tex]1\frac{2}{3} \div2\frac{1}{9}[/tex]

Convert into improper fractions:

[tex]1\frac{2}{3} = 3\times1+2=\frac{5}{3}[/tex]

[tex]2\frac{1}{9} =9\times2+1=\frac{19}{9}[/tex]

(Remember to keep the denominators the same)

[tex]\frac{5}{3} \div\frac{19}{9}[/tex]

Now use KCF

[tex]\frac{5}{3} \div\frac{19}{9} = \frac{5}{3} \times\frac{9}{19}[/tex]

[tex]= \frac{5}{3} \times\frac{9}{19}[/tex]

Hope this helps.

The other equation could be y = 8x - 7

The first equation is given as:

y = 8x + 7

For the system of equation to have no solution, then the equations in the system would have different constant values.

Take for instance:

y = 8x + b

Where:

b is a constant not equal to 7

From the options, we have:

y = 8x - 7

Notice that -7 and 7 are not the same

Hence, the other equation could be y = 8x - 7

Read more about system of equations at:

https://brainly.com/question/13729904

Answer:

the change is b 8. 63-55=8 35+20=55

Answer:

The National Woman Suffrage Association advocated for a range of reforms to make women equal members of society, such as the right to own property, etc. The American Woman Suffrage Association lobbied state governments to enact laws granting or expanding women's right to vote in the United States.

Answer:

C: The NWSA wanted to address the voting rights of both women and formerly enslaved people.

Step-by-step explanation:

The NWSA wanted to address and justify the rights of both former slaves and women, while the AWSA only wanted to either help women or former slaves, not simultaneously.

I think the answer would be 40 questions I don't know if this is actually correct tho

The anser is 14 I guess because there are 14 marbles in total giving you 14 outcomes

Answer:

This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.

Step-by-step explanation:

z = (x - mu)/sd

z = (2625 - 2600)/50 = 25/50 = 0.5.

Consulting the z-table, P(z <= 0.5) = 0.6915.

P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.

I hope this helped! <3

Answer:

There are 64 trucks!

Step-by-step explanation:

Answer:

there is no question??

Answer:

70 cars

Step-by-step explanation:

Let x cars are parked in the parking lot.

[tex]30\% \: of \: x = 21 \\ \\ \frac{30}{100} \times x = 21 \\ \\ x = 21 \times \frac{100}{30} \\ \\ x = \frac{2100}{30} \\ \\ x = 70 \: [/tex]

70 cars are parked in the parking lot.

You mean f(x) = 3x+2 and what is f(5)?

f(5) = 3(5)+2

f(5) = 15+2

f(5) = 17

So f(5) = 17

Answer:

what grade are you in?

Step-by-step explanation:

Answer:

y=5/6x-11

Step-by-step explanation:

Slope intercept form: y=mx+b

With slope: y=5/6x+b

Replace x with 6 and y with -6

[To figure out which one is x or y remember (x,y) so if you compare (6,-6) then you will find that 6 is x and -6 is y]

-6=5/6(6)+b

Simplify:

-6=5+b

Subtract 5 on both sides:

-11=b or b=-11

Answer:y=5/6x-11 (Replace the b in y=5/6x+b with -11 since -11 is equal to b)

Hope this helps!

Answer:

4,800

Step-by-step explanation: 6 times 5 times 8 times 20=4800 :D

Answer:

probably

Step-by-step explanation:

v = [20.(8+6)/2].5

v = 20.7.5

v = 700cm³ (that's a 3 btw)

Answer:

7.840

Step-by-step explanation:

560 grams times the number of days

560×14=7840grams

1000grams = 1 kilogram soo

7840g=7.840kg

Answer:

a=-30

Step-by-step explanation:

Answer:

The person above is right,

the answer is (A) -.70

They deserve brainliest

Answer:5h

Step-by-step explanation: i just did the quiz

Answer:

$1

Step-by-step explanation:

i hope i read it right

Answer:

1

Step-by-step explanation:

cuz half of 2 is 1

Answer:

2+2 is 4-1=3 quick maths

Step-by-step explanation:

Answer:

2+(2) is the same to adding 2+2 because the "(" " )" just mean the you have to add the 2 + 2 just like----- 2+2

Answer:

88m

Step-by-step explanation:

area = 6.16msq

πrsq=6.16

22/7*rsq=6.16/100

22/7*rsq=616

rsq=616*7/22

rsq=4321/22

rsq=196

r=√196

r=14m

diameter=14*2=28m

radius=14m

circumfrence=2πr

=2*22/7*14

=44*2

=88m