Question 6
1 pts
Johnny is going bowling.
1.) The cost per game is $2.50.
2.) Johnny will need to rent a pair of shoes for $1.50.
3.) He can spend up to $16.00 total.
What is the maximum number of games that Johnny can bowl?
You need to show the inequality and give the answer for complete credit.
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Answer:

There were 343 children and 197 adults.

Step-by-step explanation:

In order to solve this problem, you can use an equation after identifying the important information, like that there were 540 people, the cost for a child is $1.25, the cost for an adult is $2.00, and admission fees totaled $822.75:

where c = number of children, and a = number of adults,

c + a = 540

1.25c + 2a = 822.75

Now, you need to solve this system of equations by isolating one of the variables. I'll isolate c by multiplying the first equation by 2 since it's easier:

  2c + 2a = 1080

- 1.25c + 2a = 822.75

= .75c           = 257.25

Now, you can multiply both sides by 4/3 to find c:

c = 257.25 × 4 ÷ 3

c = 343

So there were 343 children. Now you can find the number of adults by substituting 343 for c in the first equation:

where c + a = 540 and c = 343,

343 + a = 540

a = 197

So, there were 197 adults.

Answer:

5.3!

Step-by-step explanation:

I took the test on k12 mathematics :)

Answer:

12,24,36,60

Step-by-step explanation:

multiples of 4 and 6 less than 61

4 (4,8,12,16,20,24,28,32,36,40,44,48,52,56,60)

6 (6,12,18,24,30,36,42,48,54,60)

common multiples (12,24,36,60)

Answer:

5°C

Step-by-step explanation:

Answer:

245/5 = 49 tickets per day

Answer:

245 / 5 = 49 so

49 tickets per day

Step-by-step explanation:

the answer is b

Answer:

C. 120 ft^2

Step-by-step explanation:

The area of the triangles= (1/2*3*4)2=12

The area of the larger parallelogram=5*9=45

The area of the bottom rectangle=4*9=36

The area of the vertical rectangle=3*9=27

Totale Surface Area=12+45+36+27=120

Answer:

Step-by-step explanation:

cube means 3D  square.. right?

so for volume  we want the height x width x length.. make sense?

since each edge is 9'  

the volume is [tex]9^{3}[/tex] = 729  [tex]ft^{3}[/tex]

Answer: 729

Step-by-step explanation:

This is very simple all you do is cube 9

[tex]9^{3}\\729[/tex]

Answer:

44°

Step-by-step explanation:

8x - 4 = 6x + 8 (This is because they are corresponding angles)

8x - 6x = 8 + 4

2x = 12

x = 12 ÷ 2

x = 6

6x + 8 = angle 1 (Vertically opposite angles are equal)

Substitute the value of x in the equation '6x +8' to get the size of the angle.

6 × 6 + 8

36 + 8 = 44°

Angle 1  =  44°

[tex]52 - x = 52[/tex]

[tex]x = 52 - 52[/tex]

[tex]x = 0[/tex]

Answer:

38

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

To test for Difference in mean times

Null hypothesis, H0 will be, there is no difference in mean times ; m1 = m2

Alternative hypothesis, there is difference in mean times ; m1 ≠ m2

Decision region :

When p value < α ; reject the Null

Here. ;

Pvalue = 2% = 0.02

α = 1% = 0.01

Pvalue > α

0.02 > 0.01

Since, Pvalue > α ; we do not reject the Null ;

Hence, conclusion should be, there is no difference in mean times of bus and car

Answer:

x= 8

Step-by-step explanation:

x^2 = 6x+16

TAKE RHS OVER TO LHS TO EQUATE IT TO 0

x^2 - 6x - 16 = 0

FACTORISE

(x-8)(x+2) =0

Therefore

x-8= 0 or x+2= 0

x= 8 or x= - 2

Sub and see which works

8^2 = 6(8) + 16

64= 64

-2^2 = 6(-2) + 16

-4= 4

So the answer must be

x= 8

Answer:

2/1

Step-by-step explanation:

Answer:

2 i think

Step-by-step explanation:

rise 2 over one makes 2/1 which is 2

Answer:

26.5 units

Step-by-step explanation:

i just counted the units on the inside.

but you could also split this shape into two rectangle like shapes and then find the area of both of those and then add them together.

hope this helps :)

Answer:

area =no of full square + half square =24+1/2×5=26.5 unit ²

Answer:

$7.98

Step-by-step explanation:

I am not sure if this is right but hopefully this helps!

Answer:

200.96

Step-by-step explanation:

64x3.14=200.96

Answer:

A= 200.96in2

Step-by-step explanation:

8×8=64

64×3.14=200.96

9514 1404 393

Answer:

  m = 1/3

Step-by-step explanation:

Step 1. Pick a line of the table to use as (x1, y1).

Step 2. Pick a different line of the table to use as (x2, y2).

Step 3. Use the slope formula:

  m = (y2 -y1)/(x2 -x1)

Step 4. Simplify the result.

__

Here are these steps for this problem.

1, 2. use (x1, y1) = (-9, -5) and (x2, y2) = (-3, -3)

3. m = (-3 -(-5))/(-3 -(-9)) = 2/6

4. m = 1/3

Answer:

SAS theorem

Step-by-step explanation:

Given

[tex]\square ABCD[/tex]

[tex]\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD[/tex]

[tex]\angle BAC = \angle DCA[/tex]

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

[tex]\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC[/tex]

and

[tex]\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED[/tex]

So, the congruent sides and angles of △ABE and △CDE are:

[tex]\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD[/tex] ---- S

[tex]\angle BAC = \angle DCA[/tex] ---- A

[tex]\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED[/tex] or [tex]\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC[/tex]  --- S

Hence, the theorem that compares both triangles is the SAS theorem

The inside diameter would be the outside diameter minus 2 of the wall thicknesses.

4 9/32 - (2 x 7/32)

Simplify:

4 9/32 - 14/32

Because 14/32 is larger than 9/32 change one of the hole numbers to a fraction: 1 = 32/32

rewrite 4 9/32 as 3 41/32

Now subtract:

3 41/32 - 14/32 = 3 27/32 inside diameter.

Answer:

x>9

Step-by-step explanation:

Tamika already has $55, which will stay the same independent of how much time passes. Since she deposits $5 per week, we can assign weeks a variable x. The amount of money in her account after x weeks is equal to 55+5x. If she must save over $100, we can create an inequality to solve for how many weeks must pass: 55+5x>100.

The question also asks to solve the inequality:

This solution tells us that Tamika must save for more than nine weeks to have more than $100 in her account.

lmk if i made an error, hope this helps!!

Answer:

Parted = farted and pooed, wafflebox = person who waffles (talking about random things), gogglebox = person who stares at people, battery brain = person who uses drugs. You might want to use these words so no one knows what you are talking about and you can talk about people badly without them knowing

Step-by-step explanation:

Answer:

your answer would be 68

Step-by-step explanation:

because it looks like in the photo that it is bigger then the 72 but smaller then the 90 so the answer would be 68

please mark me brainlyest?

9514 1404 393

Answer:

  f(x) = 2(x -3)² +5

Step-by-step explanation:

For vertex (h, k) and scale factor 'a', the vertex form is ...

  f(x) = a(x -h)² +k

We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.

  55 = a(-2 -3)² +5

  50 = 25a . . . . . . . . subtract 5

  a = 2 . . . . . . . . . . . divide by 25

So, the function is ...

  f(x) = 2(x -3)² +5

__

In standard form, that will be ...

  f(x) = 2x² -12x +23

Answer:

8(m⁶ - 8n¹²p¹⁵)

Step-by-step explanation:

Given:

8m⁶ - 64n¹²p¹⁵

The only part that we can factor out is in the coefficients.  Because both terms use different variables, they can not be factored.  However, both terms are divisible by eight, so we can say it equals:

8(m⁶ - 8n¹²p¹⁵)

And that is all the factoring that can be done.

Answer:

17 problems.

Step-by-step explanation:

19 + 9 = 28

(Amanda is in the afternoon class, so she gets 9 more homework assignments than the morning class, which gets 19.)

28 - 11 = 17

(Amanda has already completed 11 homework problems.)

Answer:

You can't.

Step-by-step explanation:

You have nothing to substitute for the x.