The Johnson family decides to take a trip to the theater over the holiday break. Theater tickets for adults cost $22. Children's tickets cost $15. 11 people went to see the play and the total cost was $228.


Let x= # of adults

Let y = # of children


Part A

Which equation represents the total number of people who went to see the play?


a.11x + 22 = 228


b.y = 15x + 11


c.22x + 15y = 228


d.x + y = 11


Part B

Which equation represents the total cost of the trip to the theater?


a.11x + 22 = 228


b.x + y = 11


c.y = 15x + 11


d.22x + 15y = 228

Answer:

Option A

Step-by-step explanation:

We have y < 2x - 4 and y > 2x + 1.

=> 2x - 4 > 2x + 1

=> -4 > 1

Since this inequality is false for all real values of x, there is no solution for the system of inequalities.

Answer:

c Add 5 to both sides

Step-by-step explanation:

The statement is represented by the mathematical expression;

4 over 7 multiplied by x minus 5 equals negative 13

4/7  * x - 5 = 13

a Subtract 13 from both sides

This option is wrong because there is no point making the eight side of the equation zero

b Divide both sides by 7

This option is wrong because it is only making the equation complex and not simple.

c Add 5 to both sides

Among all the options, this is correct. The reason is because it would simplify the expression in the left side of the equation.

d Multiply both sides by 4

This option is wrong because it is only making the equation complex and not simple.

Answer:

15=3(4+s); s=1

Step-by-step explanation:

Answer:

Here you go, I hope my hand writing is clear :D

The final answer is 4 hours longer

Answer:

y=15

(8,15)

Step-by-step explanation:

[tex]2y=30[/tex]

Divide both sides by 2 to isolate y.

[tex]\frac{2y}{2} = \frac{30}{2}\\y=15[/tex]

Because y=15, the solution is (8,15).

I hope this helps!

Answer:

Streatch by 3, Left by 3 and Up 3

Answer:

1/2 + 1/3 = 5/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer that you put in the boxes is 2 and 3

1/3 + 1/2 = 3/6 + 2/6 = 5/6

You can't give 20 points once you have declared it to be  a smaller amount. It's fixed.

Answer:

1.5

Step-by-step explanation:

Answer:

9.5 cups

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Write an algebraic equation to find the answer. Let x equal the unknown number.  

We know that 11 must be subtracted from the quotient of the number and five. A quotient is the term used to describe a result from division - so the part "the quotient of the number and five" must be [tex]\frac{x}{5}[/tex]. Also, 11 needs to be subtracted from it - so this gives us [tex]\frac{x}{5} -11[/tex]. Finally, it's given that the expression gives a result of -4. So, the algebraic equation must be [tex]\frac{x}{5} -11 = -4[/tex].

To find the answer, let's isolate x:

[tex]\frac{x}{5} -11 = -4\\\frac{x}{5} = 7\\x = 35[/tex]

Therefore, the number must be 35.

Answer:

Step-by-step explanation:

Original Equation:

-5(-4y - w + 3)

Multiply -5 by -4y

20y

Multiply -5 by -w

5w

Multiply -5 by 3

-15

Plug these values back into the equation

20y + 5w - 15

Hope this helps :)

The distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The equation is given;

⇒-5(-4y - w + 3)

Step 1;

Multiply -5 by -4y

⇒-5×-4y

⇒20y

Multiply -5 by -w

⇒-5 ×- w

⇒5w

Multiply -5 by 3

⇒-5 × 3

⇒-15

Replenish the equation with these values

20y + 5w - 15

Hence,the distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ2

Answer:

2.7

Step-by-step explanation:

A coefficient is the number multiplied by the variable and is frequently to the left of the variable.

Therefore, it is 2.7

Hope this helps :)

Answer:

$10 coins: 21

$20 coins: 24

Step-by-step explanation:

heyy me again

So we can create 2 equations where

x = number of $10 coins

y = number of $20 coins:

x + y = 45

10x + 20y = 690

we can move equation 1 around so that we can get a value of x

x = 45 - y

now we can substitute x into the second equation

10(45 - y) + 20y = 690

450 - 10y + 20y = 690

10y = 240

y = 24

Now plug in y back into the first equation

x = 45 - y

x = 45 - 24

x = 21

Answer:

[tex]0.45, 0.54[/tex]

Step-by-step explanation:

Given

[tex]0.54\ and\ 45\%[/tex]

Required

Order from least to greatest

We start by converting 45% to decimal

[tex]45\% = \frac{45}{100}[/tex]

[tex]45\% = 0.45[/tex]

So, the numbers are:

[tex]0.54\ and\ 0.45[/tex]

On a number line:

0.45 comes before 0.54

This implies that:

[tex]0.45 < 0.54[/tex]

And the required order is:

[tex]0.45, 0.54[/tex]

Answer:

shift 4 units to right and 5 units up

Step-by-step explanation:

Answer:

shift 4 units to right and 5 units up

Step-by-step explanation:

Answer:

$34.5

Step-by-step explanation:

1.38 * 25 = 34.5

Answer:

The answer is $34.5.

Step-by-step explanation:

$1.38 x 25 = $34.5.

Answer:

Building B is about 1416.9 feet tall.

Step-by-step explanation:

Set up the following proportion:

[tex]\frac{879}{67}[/tex] = [tex]\frac{x}{108}[/tex]

Cross multiply.

879 x 108 = 94932

67 x x = 67x

67x = 94932

Divide by 67 on both sides.

x = 1416.9

I hope this helps!

Answer:

[tex]2x + 6[/tex]

Step-by-step explanation:

[tex]7 - (2x + 1) + 4x[/tex]

Distribute the negative inside 2x+1

[tex]7 - 2x - 1 + 4x[/tex]

Remind that negative multiply negative must equal positive.

variables cannot sum/add/subtract with constants.

They must be the same terms.

[tex]4x - 2x - 1 + 7 \\ 2x + 6[/tex]

Therefore, our answer is 2x+6

Answer:

f(5) = -36

Step-by-step explanation:

Plug in 5 as x:

f(x) = −6​(x + 1​)

f(5) = -6(5 + 1)

Simplify:

f(5) = -6(6)

f(5) = -36

So, f(5) = -36

Answer:

The rate at which the water level is falling when the water is 4 meters deep to the nearest hundredth is 0.02 meters per minute.

Step-by-step explanation:

The volume of a cylinder ([tex]V[/tex]), measured in cubic meters, is represented by the following formula:

[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured in meters.

[tex]h[/tex] - Height, measured in meters.

Then, we differentiate (1) in time:

[tex]\dot V = 2\pi \cdot r\cdot h \cdot \dot r +\pi \cdot r^{2}\cdot \dot h[/tex] (2)

Where:

[tex]\dot V[/tex] - Rate of change of the volume, measured in cubic meters per minute.

[tex]\dot r[/tex] - Rate of change of the radius, measured in meters per minute.

[tex]\dot h[/tex] - Rate of change of the height, measured in meters per minute.

Then, we clear the rate of change of the height:

[tex]\pi \cdot r^{2}\cdot \dot h = \dot V-2\pi \cdot r\cdot h \cdot \dot r[/tex]

[tex]\dot h = \frac{\dot V - 2\pi \cdot r\cdot h\cdot \dot r}{\pi \cdot r^{2}}[/tex]

[tex]\dot h = \frac{\dot V}{\pi \cdot r^{2}}-\frac{2\cdot h\cdot \dot r}{r}[/tex]

[tex]\dot h = \frac{1}{r}\cdot \left(\frac{\dot V}{\pi \cdot r}-2\cdot h\cdot \dot r \right)[/tex] (3)

If we know that [tex]\dot V = -3\,\frac{m^{3}}{min}[/tex], [tex]r = 7\,m[/tex], [tex]h = 4\,m[/tex] and [tex]\dot r = 0\,\frac{m}{min}[/tex], then the rate of change of the height is:

[tex]\dot h = \left(\frac{1}{7\,m} \right)\cdot \left[\frac{-3\,\frac{m^{3}}{min} }{\pi\cdot (7\,m)-2\cdot (4\,m)\cdot \left(0\,\frac{m}{min} \right)} \right][/tex]

[tex]h = -0.019\,\frac{m}{min}[/tex]

The rate at which the water level is falling when the water is 4 meters deep to the nearest hundredth is 0.02 meters per minute.

Answer:

Given:

Today,  he studies 15 minutes math and 75 minutes science

and from now on, 50 minutes math and 30 minutes science

Step-by-step explanation:

so if he studies for 1 day total time for math and  science will be

math=15+50            science=75+30

       =65 minutes                =105 minutes

2nd day,

math=65+50           science=105+30

       =115 minutes               =135 minutes

3rd day,

math=115+50         science=135+30

       =165 minutes             =165 minutes

So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.

In this exercise we have to use interpretation skills to calculate the total time that studied the two subjects:  

[tex]165 \ both \ subjects[/tex]

Today,  he studies 15 minutes math and 75 minutes science and from now on, 50 minutes math and 30 minutes science. So if he studies for 1 day total time for math and  science will be:

2nd day:  

3rd day:  

So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.

See more about basic math at brainly.com/question/11336992

Answer:

times that number by 1.6

Step-by-step explanation:

Answer:

x>1

Step-by-step explanation:

Answer:

2,-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x-2)^2 + (y+5)^2 =5

9514 1404 393

Answer:

  330

Step-by-step explanation:

nCk can be computed from the formula ...

  nCk = C(n, k) = n!/(k!(n-k)!)

Here, that is

  11C7 = 11!/(7!(11-7)!) = 11·10·9·8/(4·3·2·1) = 11·10·3 = 330

_____

Additional comment

Many graphing or scientific calculators have probability functions that will compute this for you.

Answer:

393.9

Step-by-step explanation:

Multiply 30.3 with 13.. Will get the answer 393.9

30.3= x / 13

X = 30.3 x 13

Answer: Kevin will have to pay $30 for the jeans.

Answer:

He will have to pay 30$

Step-by-step explanation:

Answer:

Slope = -⁵/2

y-intercept = 6

Step-by-step explanation:

The equation, [tex] y = -\frac{5}{2}x + 6 [/tex], is given in the slope-intercept form, y = mx + b

Where:

m = slope

b = y-intercept

Therefore:

Slope of the equation = -⁵/2

y-intercept if the equation = 6

Answer:

Step-by-step explanation:

i think its 6

Answer:

6

Step-by-step explanation: