Admission to a Museum is $30 for adults and $20 for students. The freshman class is attending a field trip
with teacher chaperones. Mr. Frees collects $6050 total from teachers and students, and 297 total people
go on the field trip. How many students and teachers attended?
Use s for # of students and a for # of adults
A) Write the equation representing the total number of people who went to the Museum
B) Write the equation representing the total amount of money collected
Now solve your system on your own paper
C) Number of students attending:
D) Number of adults attending:
Submit Question

Answer:

8y^3+6y^2-29y+15

Step-by-step explanation:

the correct expression is

(4y − 3)(2y^2 + 3y − 5)

Given data

We have the expression

(4y − 3)(2y^2 + 3y − 5)

let us open bracket

8y^3+12y^2-20y-6y^2-9y+15

Collect like terms

8y^3+12y^2-6y^2-20y-9y+15

8y^3+6y^2-29y+15

Answer: 87

Step-by-step explanation:

This will be solved using an arithmetic progression. The formula will be:

= a + (n - 1)d

where,

a = first term = 10

d = common difference = 7

n = 12

Therefore, 12 term will be:

= a + (n - 1)d

= 10 + (12 - 1) × 7

= 10 + (11 × 7)

= 10 + 77

= 87

Therefore, the number of stitches that are in the 12th row will be 87.

Answer:

Step-by-step explanation:

[tex] - |3a + \sqrt{b} | [/tex]

By putting the values of a = -4 , b = 9,

[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]

[tex] = - | - 12 + 3| [/tex]

[tex] = - | - 9| [/tex]

= -(9)

= -9 (Ans)

Answer:

It would take 2 hours for Isaac to earn $32

Step-by-step explanation:

16*2=32

Answer:

Your answer is C

Step-by-step explanation:

Answer:

[tex]P(x<3.12)= 0.21186[/tex]

Step-by-step explanation:

Mean [tex]\=x=\$3.20[/tex]

Standard deviation [tex]\sigma =\$0.10[/tex]

Estimated price [tex]y=\$3.12[/tex]

Generally the equation for P(x<3.12) is mathematically given by

 [tex]P(x<3.12)=P(\frac{y-x}{\sigma}<-\frac{3.12-3.20}{0.10})[/tex]

 [tex]P(x<3.12)=(z<-0.8)[/tex]

Since from Z table

 [tex]P(x<3.12)= 0.21186[/tex]

Therefore the  proportion of the milk vendors that have prices that were less than $3.12 per gallon is

 [tex]P(x<3.12)= 0.21186[/tex]

Answer:

B. f and g are reflections of each other about the y-axis.

Step-by-step explanation:

I calculated it logically

Answer:

Step-by-step explanation:

scam . smď

Answer:

D.

Step-by-step explanation:

I calculated it logically

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= [tex]\frac{x_1+x_2}{2}[/tex]

= [tex]\frac{-1+6}{2}[/tex]

= [tex]\frac{5}{2}[/tex]

= [tex]2.5[/tex]

The midpoint on Y-axis is:

= [tex]\frac{y_1+y_2}{2}[/tex]

= [tex]\frac{5+(-3)}{2}[/tex]

= [tex]\frac{5-3}{2}[/tex]

= [tex]\frac{2}{2}[/tex]

= [tex]1[/tex]

Thus the midpoint of AB is "2.5, 1".

Answer:

ok

Step-by-step explanation:

Answer:

okay!

Step-by-step explanation:

its B

Answer:

C)

Step-by-step explanation:

we eliminate these two options

because remember quadratic function standard form

[tex] \displaystyle f(x) = {ax}^{2} + bx + c[/tex]

recall that, if

but a is positive so it won't flip upside down therefore,

these two are our answer

it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:

it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so

likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so

hence our answer is C

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.

In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.

the answer is x=4 4(2×8)

Answer:

no

Step-by-step explanation:

Answer:

1/49

Step-by-step explanation:

There are 7 possible outcomes, so the probability that the spinner lands on 3 twice is (1/7) * (1/7) = 1/49

Answer:

I think the answer is forth one

Answer:

t = 45d

Step-by-step explanation:

Number of days = d

Number of minutes = t

Number of minutes per day = 45 minutes

Total number of minutes of practice after d number of days will be :

t = number of minutes per days * Number of days

t = 45 * d

t = 45d

Answer:

118.0 in^3

Step-by-step explanation:

Answer:

(-1, -4) is a solution

Step-by-step explanation:

3x + 3y ≤ -6

plug in point (-1, -4)

3(-1) + 3(-4) ≤ -6

-3 + -12 ≤ -6

-15 ≤ -6    true

 (-1, -4) is a solution

Answer:

Number of seeds in each cup = 5 seeds in each cup

Step-by-step explanation:

Given:

Total number of seeds Liam has = 60 seed

Total number of plastics cup = 12 cups

Find:

Number of seeds in each cup

Computation:

Number of seeds in each cup = Total number of seeds Liam has / Total number of plastics cup

Number of seeds in each cup = 60 / 12

Number of seeds in each cup = 5 seeds in each cup

Answer:

[tex]\frac{1}{8}[/tex] or [tex]\frac{9}{78}[/tex]

(see explanation)

Step-by-step explanation:

This problem is asking about compound probability, what is the probability of this even happening three times in a row.

Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply ([tex]\frac{1}{2}[/tex]) by itself (3) times,

[tex](\frac{1}{2})(\frac{1}{2})(\frac{1}{2})\\=\frac{1}{8}[/tex]

In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.

[tex](\frac{1}{2})(\frac{19}{39})(\frac{18}{38})[/tex]

Simplify,

[tex](\frac{1}{2})(\frac{19}{39})(\frac{9}{19})[/tex]

[tex]\frac{9}{78}[/tex]

Answer:

12 /7

Step-by-step explanation:

theres no quotient

Answer:

The answer is:  (12/7) OR  (1 5/7) <-- (SIMPLIFIED)

Step-by-step explanation:

First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would  simplify  the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12)  and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)

~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~

Answer:

Where's the picture?