Tommy thinks the two expressions below are equivalent
-3 (6a - 5) + 4a and
22a + 15
A) Is he correct?
B) Explain why or why not?

Answer:

The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1

The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1

Yes, they are perpendicular

Step-by-step explanation:

The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1

The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1

slope 2 = - 1/1 = - 1/slope 1

Answer:

20 ; $135 ; service charge for 3 hours spent is $135

Step-by-step explanation:

Given that :

Service fee equation model :

C(h)= 75 + 20h

C = total cost of the service call

h = number of hours the plumber spends working on the problem

The charge per hour is the gradient or slope of the linear equation. From the equation, the slope is of the equation is related to bx from. The general form of a linear equation where b = gradient or slope(charge per hour) and x = number of hours

bx = 20h

b = 20

Charge per hour = 20

C(3) = 75 + 20(3)

75 + 60 = 135

This means that total service call charge for a plumber who spends three hours fixing a problem is $135

Answer:

x+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression would be d + 3.

You're raising $3 in every sweaters cost so d is the cost of the sweater and you add 3 to raise $3 in the price.

Answer:

I can't see the question

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

one-sixth of a number = 1/6 ·n

one-sixth of a number, decreased by 7 = (1/6 ·n) - 7

'at most 45' means values equal to 45 or less: ≤

Answer:

272

Step-by-step explanation:

45 and a third = 45 1/3

one sixth = 1/6

hence:

45 and a third divided by one sixth =

= 45 1/3 ÷ 1/6

= 136/3 ÷ 1/6

We convert to multiplication by converting 1/6 to its reciprocal which is 6/1

Hence:

= 136/3 ×6/1

= 272

Answer:

5/6

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer: y=x+12

(y-5) + (x+5)=28, where x = present age of Matt ( in years).

and  y= present age of Sam.

Step-by-step explanation:

Let x be the present age of Matt ( in years).

and  Sam's present age = y years

5 years's ago,

Sam's age = y-5 years

Matt's age = x-5 years

As per given,

y=x+12     (i)

and (y-5) + (x+5)=28   ....(ii)

Required system of equations:

y=x+12

(y-5) + (x+5)=28, where x = present age of Matt ( in years).

and  y= present age of Sam.

Answer:

y=x^2 +10x+6 should be the answer

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

100 ÷ 5 × 4 + 43 = 123

Answer:

123

Step-by-step explanation:

Lets use the PEMDAS method.

100 ÷ 5 × 4 + 43

(20) × 4 + 43

(80) + 43

123

Hence, the answer is 123.

Step-by-step explanation:

(300-60)/6,4=37,5

Answer:

6x-12=8x-16

6x-8x=12-16

-2x=-4

x=2

So it's TRUE

Answer:

I belive It would be Quadant IV (d) if I did everything right sorry if I am not correct.

Please tell me if im not correct thank you.

Answer:

The value of mEFD = 214°

Step-by-step explanation:

Given that the measure of the degree of one of the central angles of an inner circle is 146°.

We know that sum of all central angles is 360°.

In other words, in our case

mEFD + 146° = 360°

Thus, we can determine the mEFD using the equation

mEFD + 146° = 360°

so subtracting 146° to both sides

mEFD + 146° - 146°  = 360° - 146°

mEFD = 214°

Therefore, the value of mEFD = 214°

they are equal to each other

Answer:

C is the answer if you count 8 down, if not. sorry

Answer:

c. -3, -4 if you go 8 numbers down from point P then that's what you should get.

Answer:

B: 1 to 5

Step-by-step explanation:

3 hours is to 15 miles as 1 hour is to 5 miles (division by 3)

Answer: 128

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

32 fluid ounces in 1 quart

4 x 32 =

128

Answer:

The sides can be 38 and 24.

Step-by-step explanation:

Consider the provided information.

The given options are: a) 15, b) 24, c)38, d)41, E)53

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Here a=12 and b=28 we need to find c

The sum of 12 and 28 is 40.

So, It means the side can not be 41 and 53 as it is greater than 40.

Now let the third side is 15.

Then the sides are 12, 28  and 15

The sum of two smaller sides: 12+15=27

But 27 is less than 28.

So the side can't be 15.

Now let the third side is 24.

Then the sides are 12, 28  and 24

The sum of two smaller sides: 12+24=36

But 36 is greater than 28.

So the side can be 24.

Now let the third side is 38.

Then the sides are 12, 28 and 38

The sum of two smaller sides: 12+28=40

But 40 is greater than 38.

So the side can be 38.

Hence, the sides can be 38 and 24.

Answer

1;120

2;60

3;20

Step-by-step explanation:

Answer:

A. 60 degrees

Step-by-step explanation:

The sum of the abgles in a triangle is 180°. We are already given 96° and 24°.

so we will subtract the given values from 180 to find the third angle

180-(96+24)=180-120=60°

The answer is A. 60°

Answer:

1 hour= 45 miles

1/2 hour=22.5 miles

3 hours= 135

Step-by-step explanation:

just work out one hour by halving 90 miles which is 45. Then work out the rest by halving again and multiplying by 3.

Answer:

1st way:

90/2=45

1 hour = 45 miles

45/2=22.5

0.5 hour = 22.5 miles

45+22.5=67.5

1.5 hour = 67.5 miles

67.5x2=135

3 hours = 135 miles

2nd way:

90 miles - 2 hours

1 hour - 60 minutes

60x2=120

90/120=0.75

1 minute - 0.75 miles

0.75x60=45

1 hour = 45 miles

60:2=30

60+30=90

0.75x90=67.5

1.5 hour = 67.5 miles

60x3=180

0.75x180=135

3 hours = 135 miles

Answer:

[tex]\boxed{\sf m=-\cfrac{2}{3}}[/tex]

Step-by-step explanation:

In order to fins the slope we can either use the slope formula m = (y_2-y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m.

Using two points on the line, we can find the slope by finding the rise and the run

Slope formula :-

[tex]\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf \left(x_1,\:y_1\right):\left(5,\:10\right)[/tex]

[tex]\sf \left(x_2,\:y_2\right):\left(2,\:12\right)[/tex]

[tex]\sf m=\cfrac{12-10}{2-5}[/tex]

[tex]\sf m=-\cfrac{2}{3}[/tex]

Answer:

8*2^(n-1)

Step-by-step explanation:

This is a geometric sequence since we multiply from the previous term.

a_n = a_1 * common ratio^(n-1) where a_n is the nth number and a_1 is the first.

The first term is 8, so we have

a_n = 8*<common ratio>^(n-1) = 8*2^(n-1)

Answer:

its b and the question after that is d

Step-by-step explanation:

just did it

Answer: See explanation

Step-by-step explanation:

To solve this, we have to calculate the lowest common multiple of 2 and 5. This will be:

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 ....

Multiples of 5 = 5, 10, 15, 20 ....

This means that he will swim and bike every 10th day together. This will be on the 10th, and 20th in October.

Answer:

On the 10th!

(I got it right on iready)

Answer:

(2 · p) - 9

Step-by-step explanation:

p is unkown.

Expression: (2 · p) - 9

Find p in order to solve the expression.