The admission fee to the Michigan State Fair is $6 for children and $4 for adults. On the first day $1250 was collected. A total of 220 children and adults attended the fair the first day. How many children and how many adults attended the fair the first day?

Write and solve a system of equations to answer the question.

Show your work here:

Question 2
Answer:
children and
adults attended the fair the first day.

Answer:

The powers of 10 are things of the form:

10^n.

Where we assume that n is an integer number.

if is equal or larger than 0, then:

We add n zeros at the right of the 1.

so let's write some examples.

10^0 = 1  (we do not add any zero)

10^1 = 10 (we add one zero)

10^2 = 100  (we add two zeros)

...

Now, remember that x^-y = 1/x^y, then:

If n is smaller than zero, then we add n zeros at the left of the 1.

10^-1 = 1/10 = 0.1   (one zero at the left)

10^-2 = 1/100 = 0.01    (two zeros at the left).

Those relations will be useful to always know the exact dimensions of the powers of zero.

Now, we can give a more complete description knowing that:

x^a*x^b = x^(a + b)

Then if we have:

10^3*10^4 = 100*1,000 (and this may be hard to do)

But we can use the above relation:

10^3*10^4 = 10^(3 + 4) = 10^7

Then we know that we must add 7 zeros at the right of the 1.

And this will work for any integer powers of 10.

Answer:

56 pencils and pens

Step-by-step explanation:

3:5 is the ratio, and then put that into a fraction and then make a proportion

3/5=21/x

eCross multiply and divide so do 21*5 divided by 3. This gives us an answer of 35. Now we know we have 35 pens. 35+21, adding the pen and pencil, is 56. You can always also look for relationships, so if you could see that multiplying 7 gives you the answer, than do that to the 5, and then add it together.

Answer:

Step-by-step explanation:

The area of rectangle is 3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex].

The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension.

Area of a Rectangle. A = l × b.

Given:

height = 3[tex]c^{4}[/tex]

width = c² - 4c +3

So, Area of rectangle

=length *  width

= 3[tex]c^{4}[/tex] * (c² - 4c +3)

=3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex]

Hence, the area of rectangle is 3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex].

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Your question is incomplete, probably the complete question/missing part is:

A rectangle has a height of 3[tex]c^{4}[/tex] and a width of c² - 4c +3. Express the area of the entire rectangle.

Answer:

(3,4)

Step-by-step explanation:

Answer:

4,3

Step-by-step explanation:

Answer:

x or 2= amount of hours someone is driving and y or 100= the number of miles

Step-by-step explanation:

Answer:

3 31/76

Step-by-step explanation:

5 3/4 multiplied by 3 = 3 31/76

hope this helps

Answer:

3 Runners

Step-by-step explanation:

Answer:

The ANswer Is A

Step-by-step explanation:

I took The quiz

It C sry for the mistake

Answer:

(1/3)x+ x-20+ x-10+40= 360

Step-by-step explanation:

(1/3)x+ x-20+ x-10+40= 360

x+3x-60+3x-30+120=360*3

7x+30= 1080

7x= 1050

x= 150

The sum of the angles = 360.

Add the 4 angles together so they equal 360:

1/3x + x-20 + x-10 + 40 = 360

Combine like terms:

2 1/3x - 30 + 40 = 360

Continue combining like terms:

2 1/3x +10 = 360

Subtract 10 from both sides:

2 1/3x = 350

Divide both sides by 2 1/3:

x = 150

Answer:

This is a tough one, I see why you are confused. The answer would be 50

Step-by-step explanation:

I used process of elimination and working backwards

First I took the first option (50) and added 10. Then divided it by 5 to isolate the X value. I plugged the X value into the (11x+3) and got 135. The missing angle is 45. 50+45+85=180

Hope this helped!

Answer:

64

Step-by-step explanation:

This is an Geometric sequence

Common ratio = 2nd term ÷ 1st term = 4 ÷ (-2) = -2

To get the next term multiply the previous term by (-2)

The next term (6th term) = -32 * (-2) =  64

Answer:

Option (3)

Step-by-step explanation:

From the graph attached,

For a point (x, y),

x-coordinate shows the planters and y-coordinate show the number of green pepper plants in the planters.

If input value (x-value) for the line is 3,

Output value (y-value) from the graph will be, y = 9.

Therefore, there are 9 green pepper plants in 3 planters.

Therefore, Option (3) is the correct option.

Answer:

38 cm

Step-by-step explanation:

it makes the most sense

Answer: Id have to say 40mm

Answer:

y - 6 = 1/2 (x - 5)

Step-by-step explanation:

Point slope equation:  y-y₁ = m(x-x₁)

replace

x₁ = 5,

y₁ = 6,

m = 1/2 (perpendicular means opposite reciprocal)

Answer:

25 light bulbs

Step-by-step explanation:

You just divide 1000 by 40

Answer:

B. $4.22

Step-by-step explanation:

51/2 % can be put into decimal form as 0.055

To find what 5 1/2% of $4 is you simply need to multiply 4 by 0.055

which makes $0.22

add that to $4 and you have your answer

Answer:

Graph 1: Lang

Graph 2: Sharayah

Graph 3: Caleb

Graph 4: Tierra

Step-by-step explanation:

Graph 1 y-intercept: 2

Graph 2 y-intercept: -2

Graph 3 y-intercept: -3

Graph 4 y-intercept: 3

Graph 1: Positive

Graph 2: Negative

Graph 3: Positive

Graph 4: Negative

Answer:

36x^8

Step-by-step explanation:

You distribute the exponent (2) to the the coefficient (6) and the other exponent (4). When you distribute 2 to 6 you are squaring the 6.

6^2 = 6•6 = 36

Because of the power rule, you just multiply both the exponents together.

4•2 = 8

so when you put it together it looks like this: 36x^8

Answer:

70

Step-by-step explanation:

Since the angle 2 is alternate angle to angle 6,they are both equal. So, the angle 6 is 70.

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

tan²x + 1 = sec²x

Consider the left side

[tex]\frac{1+sin^4A}{cos^4A}[/tex]

= [tex]\frac{1}{cos^4A}[/tex] + [tex]\frac{sin^4A}{cos^4A}[/tex]

= [tex]sec^{4}[/tex] A + [tex]tan^{4}[/tex] A

= (tan²A + 1)² + [tex]tan^{4}[/tex] A

= [tex]tan^{4}[/tex] A + 2tan²A + 1 + [tex]tan^{4}[/tex] A

= 1 + 2tan²A + 2[tex]tan^{4}[/tex] A ← factor out 2tan²A

= 1 + 2tan²A(1 + tan²A)

= 1 + 2tan²A sec²A

= right side , thus verified

15:51 for Crunch bars

14:51 for Hershey's

10:51 for Mr. Goodbars

12:51 for Cookies and Cream

There are 51 candies in total. We got that by adding all of the candies together. 15 + 14 + 10 + 12 = 51. The probability can be written as a ratio between the different types of candy and the whole number.

The probability of crunch bars, Hershey’s chocolate bars, Mr.Goodbars, and Hershey’s cookies and cream bars are 15/51, 14/51, 10/51, and 12/51, respectively.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability can be written as,

P(Crunch bars) = Number of Crunch bars/ Total number of choclates= 15/51

P(Hershey's Chocolate) = 14/51

P(Mr. Goodbars) = 10/51

P(Hershey’s cookies and cream bars) = 12/51

Hence, the probability of crunch bars, Hershey’s chocolate bars, Mr.Goodbars, and Hershey’s cookies and cream bars are 15/51, 14/51, 10/51, and 12/51, respectively.

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Answer:

Slope: -2

Y intercept: (0,7)

Step-by-step explanation:

Answer:

15 cars

Step-by-step explanation:

2 = 5 so 4 = 10 and 6 = 15

Answer:

36.25

Step-by-step explanation:

If you want to find the rate to anything, divide the measurements by the time.

29/8= 36.25

Answer:

1. theres no link attached

2. lol just write it here wyd

3. uhm ur not tricking me-

Step-by-step explanation:

Answer:

The congruent segments are LN and NK ⇒ C

Step-by-step explanation:

If a line is a perpendicular bisector of another line, that means this line intersects the other line in its midpoint and form right angles around this point

∵ Line JM is the perpendicular bisector of line LK

→ That means JM intersect LK at the midpoint of LK

∵ Line JM intersects line LK at point N

∴ Point N is the midpoint of LK

∵ N divides LK into two segments LN and NK

∵ N is the midpoint of LK

→ That means LN equals NK

∴ LN = NK

∴ The congruent segments are LN and NK

Answer:

it C on edge

Step-by-step explanation:

Answer:

Saturday

Step-by-step explanation:

First we have to find the LCM of 3 and 4

It is 12, so we know that she will jog and swim every 12 days

This time was Monday, so 12 days after Monday will be the day she both jog and swims.

12 days after Monday is Saturday, so the next time she jogs and swims is Saturday.

Hope this helped

Sorry if it's wrong

:)

Answer:

d = 8.062258

Step-by-step explanation:

=(−8−(−1))2+(4−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(−7)2+(4)2‾‾‾‾‾‾‾‾‾‾‾‾√

=49+16‾‾‾‾‾‾‾√

=6‾√5

=8.062258