A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2100 seats. The students left 987 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answer: y=-3x+5

Step-by-step explanation:

The slope intercept form is y=mx+b

Substitute m and b

Given:

The recipe calls for [tex]\dfrac{2}{3}[/tex] cup of strawberries for each gallon of lemonade.

Tia has 6 cups of strawberries.

To find:

The number of gallons of lemonade she can make.

Solution:

We have,

[tex]\dfrac{2}{3}[/tex] cup of strawberries for = 1 gallon of lemonade

[tex]1[/tex] cup of strawberries for = [tex]\dfrac{1}{\frac{2}{3}}[/tex] gallons of lemonade

                                        = [tex]1\times \dfrac{3}{2}[/tex] gallons of lemonade

                                       = [tex]\dfrac{3}{2}[/tex] gallons of lemonade

[tex]6[/tex] cup of strawberries for = [tex]6\times \dfrac{3}{2}[/tex] gallons of lemonade

                                         = [tex]\dfrac{18}{2}[/tex] gallons of lemonade

                                        = [tex]9[/tex] gallons of lemonade

Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.

Answer:

5

Step-by-step explanation:

ty, have a good day!

Answer:

The mixed number is still 4 1/4. It wont change.

Step-by-step explanation:

Answer:

17/4

Step-by-step explanation:

first, you convert the expression, 4x4+1/4

next, you multiply, 16+1/4

and lastly, you calculate 16+1 and get 17. (The denimonator always stay the same) hope this helped!!

Step-by-step explanation:

its C. cause if f -g is equal to positive 4

Option B → (f - g)(x) = [tex]$2x^{3} +5x^{2}[/tex] - 8x - 4  is correct.

We have the following functions -

f(x) = [tex]2x^{3} +5x^{2} -6x-7[/tex]

g(x) = 2x - 3

We have to determine (f - g)(x).

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

According to the question, we have -

f(x) = [tex]2x^{3} +5x^{2} -6x-7[/tex]

g(x) = 2x - 3

Now -

(f - g)(x) = {[tex]$2x^{3} +5x^{2} -6x-7[/tex] - (2x - 3)}

(f - g)(x) = {[tex]$2x^{3} +5x^{2}[/tex] - 6x - 7 - 2x + 3}

(f - g)(x) = [tex]$2x^{3} +5x^{2}[/tex] - 8x - 4

Hence, Option B → (f - g)(x) = [tex]$2x^{3} +5x^{2}[/tex] - 8x - 4  is correct.

To solve more questions on Combination of functions, visit the link below -

https://brainly.com/question/14026860

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Answer:

I think the answer is 30. Hope this helps!

Step-by-step explanation:

Answer:

the E is the same as the circles

Step-by-step explanation:

Answer:

10 males

Step-by-step explanation:

because 15 + 10 is 25 so the answer is 10 males and 15 females

Answer:

$7,562.5

Step-by-step explanation:

Given the function of the profit earned expressed as;

f(p) =-40p^2+1100p

To maximize the profit, df(p)/dp must be sero

df(p)/dp = -80p + 1100 = 0

-80p + 1100 = 0

-80p = - 1100

p = 1100/80

p = 13.75

Substitute p = 13.75 into the function

f(13.75) =-40(13.75)^2+1100(13.75)

f(13.75) = -7,562.5+15,125

f(13.75) = 7,562.5

Hence the symphony should charge $7,562.5 to maximize the profit.

Answer:

C

Step-by-step explanation:

the difference is the same between the points

Answer:

c: 17

Step-by-step explanation:

Answer:17

Step-by-step explanation:did the practice and got it right

Answer:

x=0

hope it's helpful ❤❤❤

THANK YOU.

Answer:

4 11/15

Step-by-step explanation: You have to multiple the first fraction to get a common denominator, then subtract

Answer:

The answer is 4 11/15. Hope this helps!

Step-by-step explanation:

Answer: Knock Knock!

Step-by-step explanation: (Who's there?)

Answer:

2560

Step-by-step explanation:

10%/100% = 256/x

100/10=10

256x10 = 2560

Answer:

258 km

Step-by-step explanation:

To find how much he traveled:

(70 hm/hour) * ( 3 hours) = 210 km

so he traveled 210 km but still 48 km away from his home, then we need to add the values.

210 km + 48 km = 258 km

Don't forget to press that "Thanks" button and rate my answer!!!

Answer:

the original price is $7.89

the price on sale is $6.44

i hope this helps

Step-by-step explanation:

divide $12.88 by 2 to get the price of one of those comic books on sale which gives you $6.44

if you want the original price you just add $1.45 to $6.44 and then thats the price before the sale.

Answer:

Answer:

The answer is x = 11

Step-by-step explanation:

I have attached a picture of the solution below.

Answer:

(3,-2)

Step-by-step explanation:

Answer:

whoses that

Step-by-step explanation:

Answer:

oh no

Step-by-step explanation:

what do I do to stop him

Answer:

Mr.Walters car can go 15 miles on one gallon of gas.

Step-by-step explanation:

To find this, you first want to put it into a ratio.

480:32

Next, you want to divide.

480/32

After you divide, you get 15. That tells you that you get 15 miles off of one gallon of gas.

Answer:

15 miles

Step-by-step explanation:

Answer:

  b > -16

Step-by-step explanation:

The inequality is given as:

           b - 1 > -17

To solve this problem, add +1 to both sides of the expression:

          b  - 1 + 1 > -17 + 1

Now;

              b > -16

So, all values for which b is more than -16 satisfy the solution for this problem.

Answer:

X-32

Step-by-step explanation:

We don’t know the value of s so therefore x-32

Answer:

60x + 360

Step-by-step explanation:

5 • (x+6) • 12

(5x+30) • 12

60x +360

Answer:

7

Step-by-step explanation:

BW is 1/3 of the way of JB

like the other question we set up an equation

2x+1=10x+1 but because BW is only one third of the way we have to multiply its side by 3 and the new equation is

9x+3=10x+1

step 1: subtract each side by 9x

3=x+1

step 2; subtract each side by 1

2=x

Next we plug in 2 to x in 3x+1 and get a final answer of

BW = 7

Answer:

h is approximately equal to 13.4

Step-by-step explanation:

We can use the sine rule to solve this.  We're told that the hypotenuse is 18 cm and we know that it's opposite a corner of 90 degrees.  We also know that the corner opposite the side of length h has an angle of 48 degrees.

With that we can use the sine rule to solve for h:

[tex]\frac{h}{sin(48)} = \frac{18}{sin(90)}\\\frac{h}{sin(48)} = \frac{18}{1}\\h = 18 sin(48)\\h \approx 13.4[/tex]