13 If B is the midpoint of AC, and AC = 8x – 20,

find BC.

3x-1

А в

Answers

Answer 1

Answer:

BC = 26

Step-by-step explanation:

Given that:

B is the midpoint of AC

Then AC = AB + BC

AC = 8x - 20 and AB = 3x - 1

Then,

8x - 20 = (3x - 1) + BC

8x - 20 - (3x - 1) = BC

8x - 20 - 3x + 1 = BC

5x - 19 = BC

But AB = BC

5x - 19 = 3x - 1

5x - 3x = - 1 + 19

2x = 18

x = 9

Hence,

Since BC = AB = 3x - 1

3(9) - 1

27 - 1

= 26

13 If B Is The Midpoint Of AC, And AC = 8x 20,find BC.3x-1

Related Questions

Solve for x: -1 < x + 3 < 5 ​

Answers

Answer: Choice B)  -4 < x < 2

Work Shown:

-1 < x+3 < 5

-1-3 < x+3-3 < 5-3 ... subtract 3 from all sides

-4 < x < 2

suppose that Y varies directly with X andY equals 12 when X equals -2 what is X when Y equals -6

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

A direct variation equation has the following format:

[tex]y=kx[/tex]

Where k is a constant.

We know that y is 12 when x is -2. Thus, substitute:

[tex]12=-2k[/tex]

Divide both sides by -2:

[tex]k=-6[/tex]

So, our direct variation equations is:

[tex]y=-6x[/tex]

To find what x is when y equals -6, substitute in -6 for y:

[tex]-6=-6x[/tex]

Divide both sides by -6:

[tex]x=1[/tex]

So, our answer is 1 :)

Can u guys PLEASE answer this question ASAP. A fat cat that was initially 12 kg reduces its weight by 10% each month. How long does it take for the cat to be at least 6 kg lighter than its original weight? Give your answer as a whole number of months.

Answers

Answer:

It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.

Step-by-step explanation:

Use exponential decay formula:

A = P (1-r)t

A = amount decreased to

P = original amount

r = rate of decrease

t = time

 

6 ≥ 12 (1-0.10)t      divide both sides by 12

0.5 ≥ (0.9)t            take log of both sides

log (0.5) ≥ log (0.9)t     power rule of logs lets the exponent t drop to front of log to become a factor

log (0.5) ≥ t log(0.9)     divide both sides by log(0.9) which is negative so reverse the inequality sign

log (0.5) / log (0.9) ≤ t     use calculator

6.57 ≤ t

 

It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.

 

check:

12 (0.9)7≈ 5.73

12 (0.9)6 ≈ 6.37

A seagull is floating on the surface of the ocean when it takes off and flies upward at a rate of 4 ft per second. After 19 seconds, how far away from the surface of the water will the seagull be?

Answers

Answer:

d = 76 m

Step-by-step explanation:

It is given that, the speed of 4 ft per second when it takes off and flies upward

We need to find how far away from the surface of the water will the seagull be after 9 seconds.

Speed is distance over time.

So,

Distance, d = vt

d=4 ft/s × 19 s

d=76 meters

So, the seagull will be at a distance of 76 m from the surface of water.

What percent of 101 is 16.16?

Answers

Answer:

16.16 is 16% of 101

Step-by-step explanation:

Hope this helps!

(3x-2)(2x+4) using the box method of multiplication

Answers

Answer:

6x²-8x-8

Step-by-step explanation:

[tex](3x - 2)(2x + 4)[/tex]

[tex]3x \times 2x = 6 {x}^{2} \\ 3x \times 4 = 12x \\ - 2 \times 2x = - 4x \\ - 2 \times 4 = - 8[/tex]

[tex]6 {x}^{2} + 12x - 4x - 8 \\ 6 {x}^{2} + 8x - 8[/tex]

Answer:

(3x-2)(2x+4)

= 6x^2+8x-8

Step-by-step explanation:

Plzz answer quickly

Answers

Answer:

For this question if you need proper help in video format, tthen watch the video of MIND YOUR DECISIONS

ax+b=c for x how do I solve this can someone help explain it to me.

Answers

Answer:

x= c - b / A

please look at the step by step explanation to better understand :)

Step-by-step explanation:

subtract b from the left side and right side

so you are left with Ax = c - b

divide what number c - b is by A

and you are left with x= c - b / A

A line that passes through the points (2,1) and 6,9

Answers

Step-by-step explanation:

this is the ans in my view

Mitchell works at the local movie theater. He currently has $395 in his
savings account and he plans to deposit $30 in his account every week.
Define the variable and write an algebraic expression to show how much
money Mitchell will have in his account after any number of weeks.

Answers

Answer: 395+30x

Step-by-step explanation:

Given : Mitchell has $395  now.

He saved $30 each week.

Let x be a variable that represents the number of weeks.

Since, Total amount = Current money + (Money save each week ) (Number of weeks)

Then,  Total amount =  (395 ) + (30)(x)

= 395+30x

Hence, the required algebraic expression= 395+30x

An algebraic expression is a mathematical expression consisting a variable (a,b,c,..) which can be manipulated .

3 3/4 + 4 1/8 . I need it wrote down so i can copy it

Answers

Answer:

7 7/8

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

63/8

Decimal Form:

7.875

Mixed Number Form:

7 7/8

Pls helppppppppppp will mark brainliest

Answers

Answer:

Hence, the distance of a point P(x,y) from the origin is √(x)^2 + (y)^2.

Given ​f(x)​,=19x+10find ​f(​4).

Answers

Replace x by 4
F(4)= 19(4)+10
F(4)=76+10
F(4)= 86
Hope this helps!!

Pls help if you know

Answers

Answer:

C

Step-by-step explanation:

A: (16 - 12)² = 4² = 16 (Incorrect)

B: -|-4| = -(4) = -4 (Incorrect

C: (96 ÷ 8) - 2³ = 12 - 8 = 4 (Correct)

find the equation perpendicular to the line y=2x-2 and passing through (-3 5)

Answers

Answer:

wow sry this is a tuff one :(

Step-by-step explanation:

help help help help help help ​

Answers

Answer:

a) (-2, -1)

b) (-3, 0) and (-1, 0)

Step-by-step explanation:

The turning point is the same as the vertex of the graph.

The vertex would be (-2, -1).

The zeros of the equation would be where the graph crosses the x-axis when y = 0.

The roots would be (-3, 0) and (-1, 0).

10² - (-10)² - (-10)²​

Answers

The answer is -100 (10*10)- (-10*-10) - (10*10)

Answer:

-100 (10*10)- (-10*-10) - (10*10)

Step-by-step explanation:

What is the base....

Answers

Answer:

Step-by-step explanation:

-5x the base

Mr. Sloan is purchasing 2.3 pounds of trail mix that costs $6.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20. do it on rational numbers

Answers

Answer:

5.55

Step-by-step explanation:

The cost of the 3.4 pounds of trail mix is:

STEP 1:

multiply number of pounds purchased by price per pound

= 3.4 pounds * $4.25 per pound

= $14.45 total cost

STEP 2:

subtract total cost of purchase (step 1) from amount she gave cashier ($20.00)

= $20.00 - $14.45

= $5.55 amount received back from cashier

Solve -2.4x + 3.8x- x

Answers

Answer:

Step-by-step explanation:

1.4x - x = 0.4x

solve for each equation and justify EACH step.
3x+4=31
3(2x+1)
solve 1/2(16x-8)=2(x+16)

Answers

Answer:

Step-by-step explanation:

3x+4=31

subtract 4 on both sides That gives you

3x=27

now divide 27 by 3

that gives you X=9

———————————————-

3(2x+1)

you distribute 3 into the parentheses

so 3 x 2x is 6x 3x1 is 3

so its 6x+3

————————————————

1/2(16x-8)=2(x+16)

first you distribute 1/2 into the parentheses on the left side and distribute 2 into the parentheses on the right

which gives you 8x-4=2x+32

then you combine like terms 8x+2x is 10x and -4+32 is 28

so you answer to this one is 10x+28

Ms. Ciervo is making cupcakes. She has 9 2/3 teaspoons of vanilla. Each cupcake needs to have -1/3 teaspoon of vanilla. How many cupcakes can she make?

Answers

Answer:

The number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.

Step-by-step explanation:

The information provided is:

Ms. Ciervo has [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla. Each cupcake needs to have [tex]\frac{1}{3}[/tex] teaspoon of vanilla.

Compute the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla as follows:

Amount of vanilla required for one cupcake = [tex]\frac{1}{3}[/tex] teaspoons

Total amount of vanilla available [tex]9 \frac{2}{3}[/tex] teaspoons.

[tex]\text{number of cupcakes}=\frac{\text{total amount}}{\text{amount required for 1 cupcake}}[/tex]

                               [tex]=\frac{9\frac{2}{3}}{\frac{1}{3}}\\\\=\frac{29}{3}\div\frac{1}{3}\\\\=\frac{29}{3}\times \frac{3}{1}\\\\=29[/tex]

Thus, the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.

Aliyah wants to estimate the value of the quotient of 5.68 x 10- and 8.54 x 10 Which statement about the value is true?
The value will be greater than 1 because (-3)+(-9) is a positive number. A number in scientific notation with a
positive exponent has a value greater than 1.
The value will be greater than 1 because (-3)-(-9) - 6. A number in scientific notation with a positive exponent is
greater than 1.
The value will be less than 1 because 5.88 - 8.54 is less than 1. The negative exponents will make it even smaller.
The number will be less than 1 because 5.68 x 10- is a very small number and division always makes the size of a
number smaller.

Answers

Answer:

B-The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.

Step-by-step explanation:

I hope I was helpful :)

Solve for t.
Speed (Velocity)
V = d/t

Answers

Answer:

t = d/V

Step-by-step explanation:

V = d/t

Multiply each side by t

Vt = d/t *t

Vt = d

Divide each side by V

Vt/V = d/V

t = d/V

write a step by step proof. the givens are c is the midpoint of segment AB, and point c measures 10cm. prove AC=5cm plz help will mark brainliest

Answers

Answer:

Step-by-step explanation:

GIRL! You should add diagrams to these types of questions. It would really help

That 10cm does not mean point C is 10cm. It means the line AB is 10 cm in total.

And since point C is the midpoint, which means that point C cuts the line AB in half, that makes AC = 5cm

Answer:

the answer is fjdixekd

use this information for items 1-3. Aaron has $65 to rent a bike in the city . It costs $15 per hour to rent a bike. The additional fee for a helmet is $3 for the entire ride​

Answers

Answer:

You will ride for 4 hrs 8min

Step-by-step explanation:

What we are expected to solve for that the problem did not expressly state is most likely the number of hours that you could ride for an amount of $65.

firstly we need to model the inequality (equation) for this scenario.

the constant fee= $3 additional fee for helmet

[tex]3+15n\leq 65\\\\[/tex]

We can now solve for n since the above inequality satisfies the condition presented in the problem statement.

 [tex]3+15n\leq 65\\\\15n\leq65-3\\\\ 15n\leq 62[/tex]

Divide both sides by 15 to find n

[tex]n\leq 62/15\\\\n\leq 4hrs -8min[/tex]

look at image. reflection across y= -1​

Answers

Answer:

 Y 2,1   X 0,1    W 0,4   Z 3,5  will be the new reflected points

Step-by-step explanation:

Solve for t 4/3 = t/7

Answers

Answer:

t=28/3

Step-by-step explanation:

Id this helped feel free to send thanks and give brainliest so I can continue to help people around the brainly community.

Help asap plsssss:(((

Answers

Answer:

84

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Given

(- 6)(- 2x - 4y) , substitute x = 1, y = 3 into the expression

= (- 6)(- 2(1) - 4(3) )

= (- 6)(- 2 - 12)

= (- 6)(- 14)

= - 6 × - 14

= 84

please help me i rlly need it, thank you

Answers

• Answer:

x = 2

• Step-by-step explanation:

AB = AC/2 = 16/2 = 8

AB = 2x + 4

8 = 2x + 4

2x = 8 - 4

2x = 4

x = 4 : 2

x = 2

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