Mrs. Peabodys classroom was collecting
canned goods for a food drive. Her class set
a goal of collecting 300 cans. At the end of
the food drive, they collected 270 cans. What
percentage of their goal did they meet?

Answer:

[tex]Minimum = 51^{\circ}[/tex]

Step-by-step explanation:

Given:

[tex]Shape = Heptagon[/tex]

Required

Determine the least angle of rotation that places the heptagon on itself

First, we write out the number of sides of a heptagon

[tex]Sides = 7[/tex]

Next, we write out the measure of 1 complete rotation

[tex]1\ Complete\ Rotation = 360^{\circ}[/tex]

The minimum angle of rotation is then calculated as:

[tex]Minimum = \frac{1\ Complete\ Rotation}{Sides}[/tex]

[tex]Minimum = \frac{360^{\circ}}{7}[/tex]

[tex]Minimum = 51.4285714286^{\circ}[/tex]

[tex]Minimum = 51^{\circ}[/tex]

Hence, the minimum rotation angle is [tex]51^{\circ}[/tex]

Answer:

5cm by 1.95cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

Perimeter of a rectangle = 2x + 2y

If the initial perimeter of a rectangle is about 13.9 cm, then;

13.9 = 2x + 2y ..... 1

If when the width is double the perimeter is 17.8cm, then;

17.8 = 2x + 4y ..... 2

Subtract 1 from 2;

13.9 - 17.8 = 2y - 4y

- 3.9 = -2y

y = 3.9/2

y = 1.95 cm

Substitute y = 1.95 into 1 to get x;

From 1;

13.9 = 2x + 2y

13.9 = 2x + 2(1.95)

13.9 = 2x + 3.9

2x = 13.9-3.9

2x = 10

x = 5 cm

Hence the dimension of the smaller triangle is 5cm by 1.95cm

Answer:

answers are below

Step-by-step explanation:

1) decrease

2) not change

3)decrease

Answer:

Step-by-step explanation:

a. 20,000 people because the more people you ask the more likely it is that you get a more accurate answer

b. because it would be more difficult to ask 20,000 people a question than 100 or 2000 people. it would take more time/effort/energy/resorces.

Answer:

C

Step-by-step explanation:

Go back from 11:00 pm until you get to 5:00 am (don’t mistaken it for 5:00 pm) and you should get 18 or go from 5:00 am and count up to you get to 12:00 pm and that’s 7 hours. Then go from 12:00 pm until you get to 11:00 pm and that’s 11 hours. 11+7=18

The Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.

For legal, commercial, and social purposes, a time zone is a region that observes a uniform standard time. Instead of strictly following longitude, time zones tend to follow the borders between countries and their subdivisions.

We have:

Time in Anchorage = 5:00 a.m.

Time in Tokyo = 11:00 p.m.

The difference between these two-time zone is:

TIme difference = 18 hours

18 hours ahead of Anchorage is Tokyo.

Thus, the Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.

Learn more about the time zone here:

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Answer:

A

Step-by-step explanation:

The answer is A, because if you see the function when x is less than 1, it's the function 2x, and when x is greater than or equal to 1, it's the function 1/2*x+5/2

[tex] \frac{25}{125} = \frac{5}{25} = \frac{1}{5} [/tex]

9514 1404 393

Answer:

  under

Step-by-step explanation:

On average, there are 4 1/3 weeks in a month, so Andy's salary is equivalent to ...

  (4 1/3 wk/mo)($975/wk) = $4225/mo

The spending guidelines are that no more than 12% should be spent on gifts and entertainment, so Andy's gift budget is ...

  12% × $4225/mo = $507/mo

A gift of $250 falls well within Andy's monthly gift budget limit of $507.

_____

Additional comment

Andy's housing allowance is about 30% of $4225, or $1267.50. His mortgage expense is over his budget amount by $82.50. Even if Andy takes this from his gift budget, he still has a sufficient amount for the birthday gift.

Answer:

$3500, y= 5000-500x

Step-by-step explanation:

You initially have $5000 which you then subtract $500 from each year, where x represents the number of years that passed.

y= 5000-500x

So after 3 years, it should be

y= 5000-500(3)

=5000-1500

=$3500

Answer:

First choice.

Step-by-step explanation:

Move 9 to divide 72.

[tex]x < \frac{72}{9} \\ x < 8[/tex]

Answer:

D

Step-by-step explanation:

The answer is 28.25 times 0.88 (1.00 - 0.12)

Answer:

D

Step-by-step explanation:

Constants are the terms in the algebraic expression that contain only numbers. That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.

9514 1404 393

Answer:

  B.  1/((x -1)(x -2))

Step-by-step explanation:

The vertical asymptotes at x=1 and x=2 tell you the denominator will have factors such that these values make it zero: (x -1)(x -2). That is sufficient to identify choice B as the correct answer.

  [tex]f(x)=\dfrac{1}{(x-1)(x-2)}[/tex]

it is reduced I think. so the answer would be 10

Answer:

answer in picture

Step-by-step explanation:

The solutions of polynomial have 1,5 and 3.

It is given that equation of the polynomial is -6x-9,[tex]2x^{5} -x^{4} +2x^{3} -6x^{2} +2x+4[/tex]   ,[tex]-4x^{3} -10x^{2} +7x+5[/tex].

To find the how many solutions does each polynomial.

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

The equation of the polynomial is

y=-6x-9= 1 solution

y=[tex]2x^{5} -x^{4} +2x^{3} -6x^{2} +2x+4[/tex]= 5 solution

y=[tex]-4x^{3} -10x^{2} +7x+5[/tex] = 3 solution

So. the solutions of polynomial have 1,5 and 3.

Learn more about polynomial here:

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Given:

Number of gym members in last quarter = 490

Number of gym members in this quarter = 686

To find:

The percent of increase in the number of members.

Solution:

We have,

Number of gym members in last quarter = 490

Number of gym members in this quarter = 686

Now, the percent of increase in the number of members.

[tex]\%\text{ of increase}=\dfrac{{Members in this month - Members in last month}}{\text{Members in last month}}\times 100[/tex]

[tex]\%\text{ of increase}=\dfrac{686-490}{490}\times 100[/tex]

[tex]\%\text{ of increase}=\dfrac{196}{490}\times 100[/tex]

[tex]\%\text{ of increase}=\dfrac{2}{5}\times 100[/tex]

[tex]\%\text{ of increase}=2\times 20[/tex]

[tex]\%\text{ of increase}=40[/tex]

Therefore, the gym members increased by 40%.

Answer:

Step-by-step explanation:

We are to show that 1/1-sin theta + 1/1+cos theta = 2×sec square theta ​

Starting from the left hand side of the expression:

1/1-sin theta + 1/1+cos theta

Find the LCM

[tex]\frac{1}{(1 -sin \theta) (1+cos \theta)} \\\\= \frac{1+cos \theta + 1 -sin \theta ]}{(1 -sin \theta) (1+cos \theta)} \\ = \frac{2+cos \theta - sin \theta}{1+cos \theta - sin \theta - sin \theta cos \theta}[/tex]

Answer:

1. coefficient

2. variable

3. constant

Step-by-step explanation:

Answer:

20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol

Answer:

I think it is

Step-by-step explanation:

s;kfjskejrlkjdvnlkfjnvlkajvnfkljvnkjfvn

Savsvwvsgsvajsmqkabadacags s

Step-by-step explanation:

Hope this helped

Answer:

m = 3

Step-by-step explanation:

Pick two points from the table.

(-1, 1) and (1, 7)

Apply the slope formula.

[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]

Hope this helps.

Answer:

ASA would justify it to be congruent.

Answer:

elapsed time: 3 hours and 49 minutes

Step-by-step explanation:

Answer:

Area

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

You have to divide 30 divided by 10 is 3 so ya.

Answer:

i think you have to divide

Step-by-step explanation:

30/3

x=10

Answer:

2.16 is answer is it right

Answer:

75 & 21

Check:

75 + 21 = 96

21 * 4 - 9 = 75

Correct!

Answer:

the smaller number is 21 and the larger number is 75

Step-by-step explanation:

First make a simple equation where x = the smaller number and y = the larger number

ie: 96=x+y

Now make an equation to find the larger number.

ie: y=4x-9

Now substitute the y value in the first equation for the y value in the second equation

ie: 96=x+(4x-9)

Then solve for x

ie: x=21

Then plug in your new x value into the first or second equation to solve for y.

ie: 96=21+y

ie: y=75

Answer:

= 5

Step-by-step explanation:

the two negatives cancel out to create a positive so the equation would be

0 + 5 =

= 5

Answer:

5

Step-by-step explanation:

[tex]0-(-5)[/tex]

When subtracting a negative number, the two negatives cancel out and subtraction turns to addition.

[tex]0+5[/tex]

[tex]5[/tex]

I hope this helps!