Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below. Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 66 + 36 = 3 (22 + 12)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let [tex]g[/tex] denotes number of games that Raleigh can play in the arcade.

Cost of 1 game = $1.25

Cost of [tex]g[/tex] games = [tex]\$1.25g[/tex]

Amount spent in food and drinks = $14.25

Total amount spent by Raleigh = [tex]14.25+1.25g[/tex]

Also, amount with Raleigh = $55

So, the inequality is [tex]14.25+1.25g\leq 55[/tex]

Divide the inequality by 5

[tex]2.85+0.25g\leq 11[/tex][tex]2.85+0.25g\leq 11[/tex]

Answer:

Step-by-step explanation:

- 13 = 7+5v

subtract 7 on both sides to cancel out 7

- 20 = 5v

divide both sides by 5 to isolate v

- 4 = v, v is negative because negative divided by a positive will make your answer stay negative

Part A: The Numbers of Hours and Money earned are being divided by 6 , to solve you need to multiply and divide the numbers by 6 therefore it's 48, and 11.

Part B: Just like Part A Multiplying 6 but this time 7. |5 x 7 = 35| 6 x 7 = 42| 8 x 7 = 56. (I think lol)

Part C: Collins Makes $5 more when working for 5 hours.

Hope this Helped! <3

Answer:

-10

Step-by-step explanation:

subract 3 from -7

idk, i am pretty sure its -10

Answer:

C, D, E

Step-by-step explanation:

Answer:

The statements that must be true are;

A. m∠1 = m∠5

B. m∠2 = m∠4

C. m∠3 + m∠4 + m∠5 = 180°

Step-by-step explanation:

The given parameters are;

The fact Katherine wants to prove = The sum of the measures of the interior angles of a triangle  = 180°

The line Katherine drew passing through the vertex = Parallel to the opposite side of the triangle

Therefore we have;

1) m∠1 and m∠5 are corresponding angles and m∠1 = m∠5 for corresponding angles of parallel lines having the same transversal

2) m∠2 and m∠4 are alternate interior angles and m∠2 = m∠4 for alternate interior angles of parallel lines having the same transversal

3) m∠3 and m∠4 and m∠5 are angles on a straight line and angles on a straight line are supplementary

∴ m∠3 + m∠4 + m∠5 = 180°, by the definition of supplementary angles

Therefore, m∠3 + m∠2 + m∠1 = 180° (substitution property)

m∠3 + m∠2 + m∠1 = Sum of interior angles of a triangle = 180°.

Answer:

y = 88

Step-by-step explanation:

Don't worry about the other stuff, just worry about what's in the triangle that has Y.

53°, 39°, and y°

the sum should be equal to 180 so add 53 adn 39 and subtract it from 180.

180 - (53 + 39) = y

180 - 92 = y

88 = y

Hope this helped! Pls Brainliest my answer! It would help amd mean a lot! ;)

Answer:

-0.4

Step-by-step explanation:

Good luck!

Answer:

0.0119760479

Step-by-step explanation:

Answer:

the answer is 83.5

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} + 2x - 24 [/tex]

[tex]f(x) = 2( {x}^{2} + x - 12) [/tex]

[tex]0 = 2( {x}^{2} + x - 12)[/tex]

Divided sides by 2

[tex] {x}^{2} + x - 12 = 0 [/tex]

[tex](x + 4)(x - 3) = 0[/tex]

_________________________________

[tex]x + 4 = 0[/tex]

[tex]x = - 4[/tex]

_________________________________

[tex]x - 3 = 0[/tex]

[tex]x = 3[/tex]

Thus the actual roots are -4 and 3.....

And we're done.

♥️♥️♥️♥️♥️

Answer:

x= 3, -4

Step-by-step explanation:

Set  2 x ² +  2 x  −  24  equal to  0 .

   2 x   ² +  2 x  −  24  =  0

Solve for  x .

Factor the left side of the equation.

2 ( x²   +  x  −  12 )  =  0

Factor  

x  ² +  x  − 12  using the AC method.

2 ( x  −  3 ) ( x  +  4 )  =  0

If any individual factor on the left side of the equation is equal to  0 , the entire expression will be equal to  0 .

x − 3 = 0

x + 4 = 0

Add  3  and subtract 4 to both sides of the equation.

x = 3

x = -4

Answer:

you eould have to start with 4 times 6 welll use algabra

Step-by-step explanation:

Answer:

A. ??

Step-by-step explanation:

have a nice day and hope it helps

Answer:

its -6

hopefully this will help you

Answer:

Victor can buy 13 vinal records and that would be 234 and with the shipping fee "$12" = $246 so the awnser is 13 records.

Step-by-step explanation:

I put the explanation within the answer.

Answer:

b=7

Step-by-step explanation:

7 squared is 49, so b equals 7. I hope that was what you were looking for, and that it helps.

Answer:

For the time interval 0 to 2 the ball is in the air.

Select the options according to this.

Step-by-step explanation:

The equation should be [tex]h(t)=-16t^{2} -30t+124[/tex]

Let's find the x intercepts to answer this question.

To find x intercept where the h(t) is 0.

[tex]-16t^{2} -30t+124=0[/tex]

Solve the equation for t.

Use quadratic formula to solve the equation.

a=-16

b=-30

c=124

[tex]x=\frac{-b+/- \sqrt{b^{2}-4ac } }{2a}[/tex]

Plug in the values of a, b and c into the formula

[tex]x=\frac{30+/-\sqrt{(-30)^{2}-4(-16)(124) } }{2(-16)}[/tex]

Simplify it

[tex]x=\frac{30+/- \sqrt{900+7936} }{-32}[/tex]

[tex]x=\frac{30+/-\sqrt{8836} }{-32}[/tex]

[tex]x=\frac{30+/-94}{-32}[/tex]

Simplify it to get two values for x

[tex]x=\frac{30+94}{-32} =-3.875\\\\x=\frac{30-94}{-32} =2[/tex]

x can not be negative, here x represents time t.

So, it starts from 0 and remains in the air for 2 seconds.

Answer:

Yo itś C

Step-by-step explanation:

:-)

Answer:

- construction of a line parallel to line AB through point P

∠TPU is 75°

Step-by-step explanation:

For Plato users

The image may be the result of the construction of a line parallel to line AB through point P

∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°

Answer:

below

Step-by-step explanation:

Got it right

Answer:

Step-by-step explanation:

-7x - 6y = 4

-9x + 6y = 60

-16x  = 64

x = -4

-3(-4)+2y=20

12+2y=20

2y=8

y =4

(-4,4)

Answer:

3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer:3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer:

E

Step-by-step explanation:

1.234 is most definitely a rational number!!

Answer:

884

Step-by-step explanation:

Answer:

884

Step-by-step explanation:

solve for 6.4x104 and add to 2.1x104

Answer:

yes

Step-by-step explanation:

18^2 + 24^2 = 30^2

324 + 576 = 900

900 = 900

Answer:

240 times

Step-by-step explanation:

Answer:

b

Step-by-step explanation:\

when you have a nuber inside a I -7 I and a I -8 you forget about any sign and just take the number so 8 is greater then 7

Answer:

>

Step-by-step explanation:

|-8| = 8

|-7| = 7

8>7

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Explanation:

Let's say there are 100 students total. You can start with any number you want, but I'm picking a large round number to work with.

3/5 of the total voted, so (3/5)*100 = 0.6*100 = 60 people voted

Of the 60 who voted, 3/4 of those went to the winning candidate.

3/4 of 60 = (3/4)*60 = 0.75*60 = 45

We have 45 people who voted for the winning candidate out of 100 total students, so,

45/100 = (9*5)/(20*5) = 9/20

Meaning that 9/20 of the student body voted for the winning candidate.

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You could also multiply the two given fractions to get the same answer

(3/5)*(3/4) = (3*3)/(5*4) = 9/20

When multiplying, you multiply the numerators together and the denominators together. Reduce the fraction if possible.