if the slope of BC is 1/2 what is the slope of AC

Answer:

D) 1/2(2x-6)=-6 = x = -3

Step-by-step explanation:

A. x = 3

B. x = 7/3

C. x = 4

D. x = -3

Solve for x:

(2 x - 6)/2 = -6

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (2 x - 6)/2 = -6 by 2:

(2 (2 x - 6))/2 = -6×2

Hint: | Cancel common terms in the numerator and denominator of (2 (2 x - 6))/2.

(2 (2 x - 6))/2 = 2/2×(2 x - 6) = 2 x - 6:

2 x - 6 = -6×2

Hint: | Multiply 2 and -6 together.

2 (-6) = -12:

2 x - 6 = -12

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

2 x + (6 - 6) = 6 - 12

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

2 x = 6 - 12

Hint: | Evaluate 6 - 12.

6 - 12 = -6:

2 x = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = -6 by 2:

(2 x)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = (-6)/2

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

Answer: x = -3

Answer:

x≥-8

Step-by-step explanation:

Let's do this step by step:

Step 1-

Take x/2≥-4. Now multiply both sides by 2 to isolate the x variable. Multiplying x/2 by 2 removes the denominator.

Step 2-

Since we are multiplying both sides by 2, we also have to multiply -4 by 2. We get -8

Step 3-

Therefore, x≥-8

Hope that helps :)

Answer:

D

Step-by-step explanation:

yo so basically started blasting

Answer:

She should invest 150,000 in government bonds and 50,000 in investment grade bonds

Step-by-step explanation:

Let the amount invested in government bonds be $y while the amount invested in investment bond be $x

Since total is $200,000

Then:

x + y = 200,000 ••••••(i)

Since 13,000 is what is expected to be earned, then this is like the interest.

thus;

6% of x + 8% of y = 13,000

6x/100 + 8y/100 = 13,000

Multiply through by 100

6x + 8y = 1300000 •••••••(ii)

From i, x = 200,000 - y

insert this into ii

6(200,000-y) + 8y = 1300000

1200000-6y + 8y = 1300000

2y = 1300000-1200000

2y = 100,000

y = 100,000/2

y = 50,000

but x + y = 200,000

thus, x = 200,000 - 50,000

x = 150,000

Answer:

[tex]\boxed{8}[/tex]

Step-by-step explanation:

-Solve the following expression when [tex]x = 4[/tex]:

[tex]\frac{5x + 12}{4}[/tex]

-Apply the value of [tex]x[/tex] onto the equation:

[tex]\frac{5x + 12}{4}[/tex]

[tex]\frac{5(4)+ 12}{4}[/tex]

-Multiply both the [tex]5[/tex] and [tex]4[/tex]:

[tex]\frac{5(4)+ 12}{4}[/tex]

[tex]\frac{20+ 12}{4}[/tex]

-Add both [tex]20[/tex] and [tex]12[/tex]:

[tex]\frac{20+ 12}{4}[/tex]

[tex]\frac{32}{4}[/tex]

-Divide [tex]32[/tex] by [tex]4[/tex]:

[tex]\frac{32}{4}[/tex]

[tex]\boxed{8}[/tex]

So, therefore, the final answer is [tex]8[/tex].

Answer:

Step-by-step explanation:

My answer is 8!!!

If x is equal to 4 then 5x4=20 because if there is no sign then that means that you have to multiply, then you add 20 and 12 which is equal to 32, And then you simplify 4 which equals 8, or you can think of dividing 32 and 4 which is also 8.

Answer:

Peter's number is 36.

Step-by-step explanation:

If you subtratct 13 from 36, you get 23.

If you multiply that times -3, you get -69.

(The way I got 23 was by dividing -69 and -3)

I hope this helped you even though it's late.

Answer: y = 4x + 5

Step-by-step explanation:

Find the slope of the second line.

4x - y = 12

-y = -4x + 12

y = 4x - 12

slope = 4

Therefore, the slope of the second line must also be 4.

Use point-slope form to write the equation.

y + 3 = 4(x + 2)

y = 4x + 5

Answer:4/15

Step-by-step explanation:

Take 3/4 and flip it in half, making it 4/3, then multiply that by 1/5.

Answer:

4/15

Step-by-step explanation:

to divide fractions. flip the second fraction. then multiply

3           4

4           3

1   x    4    =   4

5  x    3        15

can't be simplified any further

Answer:

2.9

Step-by-step explanation:

If the order is P, Q, R on the number line, add both segments together.

Answer:

The equation: 2n - 3 ≤ -21

The answer to the equation: n ≤ 9

Step-by-step explanation:

How to get the equation:

The difference of symbolizes subtraction. Because we are subtracting twice a number and 3, the first part of the equation can be written as 2n - 3. The n symbolizes the number.

is at most symbolizes a less than or equal to sign. That sign is ≤. And what is it less than or equal to? -21.

Now are equation is 2n - 3 ≤ -21

How to solve it:

2n - 3 ≤ -21

Add 3 to both sides of the equation

2n ≤ 18

Divide both sides of the equation by 2

n ≤ 9

Answer:

60 doughnut per mintute

Step-by-step explanation:

Answer:

D.5

Step-by-step explanation:

4*5=20

8*5=40

12*5=60

..etc

brainliest?

2 over 45

Step-by-step explanation:

i divide 8over9 by 20

Answer:

32t+72

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

15+3x=45

-15        -15 *first subtract 15 from both sides

3x=30       * then divide by 3 on both sides to get x by itself

/3     /3

x=10

theres ur answer :D

Answer:

17.2

Step-by-step explanation:

divide the numbers together and it will equal 17.2

Answer:

Step-by-step explanation:

Given that:

Initial psi yesterday = 40 psi

psi today = 38 psi

If trend continues and tire loses the same percentage of air. How much air will be left in tire at the end of the week

1 week ( 7days)

Total loss after 7 days = (amount lost per day * number of days)

Total psi lost per day= [(40 - 38) = 2

% psi lost = (2/40) * 100

= 5%

Applying the exponential loss functin:

A = I ( 1 - r)^t

t = 7days ; r = 5% = 0.05 ; A = amount left ; I = Initial amount

A = 40(1 - 0.05)^7

A = 40(0.95)^7

A = 40 * 0.69833729609375

A = 27.933

A = 27.9 psi

Answer:

two solutions

Step-by-step explanation:

x = 3 and -1

Answer:

-1

Step-by-step explanation:

Assumuning your asking what a2-b is.

8(2) - 17

-1

Answer:

-1

Step-by-step explanation:

If A= 8 and B= 17...

8(2)-17

16-17

-1

Answer:

The position of the equipment elevator is 180 feet deep

The position of the miner's elevator is 156 feet deep

The equipment elevator is deeper.

Step-by-step explanation:

From the question,

For the equipment elevator

Velocity (v) = 4 feet/second

and for the miner's elevator,

Velocity (v) = 13 feet/second

To determine the position of each elevator, the position can be related to the distance covered.

From

Velocity = Distance / Time

Distance = Velocity × Time

Now, from the question,

The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.

Now, for the equipment elevator

Velocity = 4 feet/second

Time = (33 + 12 seconds) = 45 seconds

From

Distance = Velocity × Time

Distance = 4 × 45

Distance = 180 feet

The position of the equipment elevator is 180 feet deep

For the miner's elevator,

Velocity = 13 feet/second

Time = 12 seconds

Also, from

Distance = Velocity × Time

Distance = 13 × 12

Distance = 156 feet

The position of the miner's elevator is 156 feet deep

Hence, the equipment elevator is deeper.

Answer:

X = 15

Step-by-step explanation:

1.- Rewrite the equation, Put like terms on the same side

6x - 5x = 2 - 17

Instead of adding subtract

2.- Divide 1 on both sides

1x = 15

You should only have X on the left side

3.- You should have

X = 15

Answer:

positive I guess that's the answer

Answer:

positive

Step-by-step explanation:

Answer:

2497.22...

Step-by-step explanation:

Answer:

x + (2x + 40) + (3x - 50) = 15002

Remove the parentheses

x + 2x + 40 + 3x - 50 = 15002

Combine like terms

x + 2x + 3x + 40 - 50 = 15002

6x - 10 = 15002

6x = 15002 + 10

6x = 15012

x = 15012/6

x = 2502

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

Answer:

8

Step-by-step explanation:

2 1/5 + 5 4/5 =

2 + 5 = 7

1/5 + 4/5 = 1

1 + 7 = 8