D is the midpoint of AB. If AD=2x+11 and DB=4x-5, find the value of x and AB

Answers

Answer 1

Answer:

x = 8

AB  = 54

Step-by-step explanation:

AD = DB

2x+11 = 4x-5

11 = 2x - 5

16 = 2x

8 = x

2(8) + 11 =

16 + 11 = 27


Related Questions

The university bought a total of 2200 computers they bought three kinds of computers HP IBM and dell the ratio of the number of HP computers to IBM to dell is 2/3 and 6 each HP computer cost $750 each. Computer cost 90% of the price of the HP computer if the university spent a total 1650000 what is the cost of each IBM computer

Answers

Complete question :

The University but a total of 2200 computers they bought three kinds of computers HP, IBM and dell. The ratio of theNumber of HP computers to IBM to dell is 2:3:6 each HP computer cost $750 each dell computer cost 90% of the price of an HP computer if the University spent a total of $1,650,000 what is the total cost of each IBM computer

Answer:

$900

Step-by-step explanation:

Given that :

Total amount of computers purchased = 2200

Number of brands purchased = 3;

HP, IBM and DELL

The ratio of theNumber of HP computers to IBM to dell is 2:3:6

Cost per HP = $750

Cost per Dell = 90% of HP = 0.9 × $750 = $675

Total amount spent = $1,650,000

2:3:6 = (2+3+6) = 11

Number of IBM computers purchased :

(3/11) * 2200 = 600 IBM

(2/11) * 2200 = 400 HP

(6/11) * 2200 = 1200 DELL

TOTAL Cost of HP = (400 × $750) = $300,000

TOTAL cost of Dell = (1200 * $675) = $810,000

TOTAL cost of IBM :

$1,650,000 - ($300,000 + $810,000)

$1,650,000 - $1,110,000 = $540,000

Cost of each IBM:

540,000 / 600 = $900

Sue buys a certain brand of cereal that costs $12 per box. Sue changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand. y = 8x Part A: How many more dollars is the price of a box of Sue's original brand of cereal than the price of a box of the super-saving brand? Show your work. Part B: How much money does Sue save each month with the change in cereal brand if she buys 4 cereal boxes each month? Show your work. (10 points) PLEASEEEEEE help

Answers

Answer:

part A : $4

part B : $16

Sue buys a certain brand of cereal that costs = $12 per box.

She changes to a super-saving brand of the same size.

The equation showing price y as a function of the number of boxes, x is for the new brand.

y = 8x

for x = 1, y = 8

So for 1 box super-saver cereal brand costs $8.00

Part A. - So saving per box = 12 - 8 = $4

Part B. - Money saved in 1 box = $4

Therefore, money saved in 4 boxes = 4 × 4 = $16

HOPE THIS HELP YOU FRIEND

The price of the Sue's original box is  $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're specified that:

Price of original cereal box = $12 per box.Price of super saving box = y = 8x, where x is the number of boxes.

putting x= 1, we get y = 8. Thus, for each box of super saving brand, Sue pays $8.

The difference between both box's price is: 12 - 8 = 4 dollars.

Also, as Sue saves 4 dollars on each box of cereal, and she buys 4 boxes of cereal, then if she buys the boxes of super saving brands, then she saves 4 dollars per box for 4 boxes, whose total is 4 times 4 =  16 dollars.

Thus, the price of the Sue's original box is  $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.

Learn more about forming equations here:

https://brainly.com/question/11938672

Write an equivalent expression for the following.
-3(ab +6ba) -(4+b)

Answers

18ba-3ab-b-4
This should be the correct order of the terms too

How many inches are in 8 feet?

Answers

Answer: 96

Step-by-step explanation:

Answer: 96 inches

Step-by-step explanation:

1 Feet=12 inches

--------------------------------

So.....

8 Feet= 12 × 8 inches

8 Feet= 96 inches

Hope this helps!! :)

Please let me know if you have any question

Find the area of the shape.

Answers

Your question has been heard loud and clear.

Alright , so basically , the area of a circle formula = pi * R squared

R = radius = 4 units

Pi = 3.14

So , Area =  3.14 into 4 =  12.56 units

So Area of the circle = 12.56 units

Thank you

Answer:

The area is 50.24

Step-by-step explanation:

Here is the equation to find the area of a circle (π=3.14):

A=πr²

A=3.14·4²

A=3.14·16

A=50.24

Using the graph provided, find f(x)=2

Answers

Answer:

so x=3

Step-by-step explanation:

f(x) = 2

We want to find the x value when y =2

Going across where y = 2

Then go down to find the x value x=3 when y = 2

f(3) =2

so x=3

Josh and David collect pecans for their mother to make a pecan pie. Josh collects 3.25 pounds of pecans, and David harvest 4 3/8 pounds. How many more pounds of pecans does David collect than Josh?

Answers

Answer:

1 1/8

Step-by-step explanation:

So the first step is to convert all of them to fractions, so 3.25 become 3 1/4

Next, we do 4 3/8- 3 1/4

We convert 1/4 to 2/8

So, it's now 4 3/8- 3 2/8

The answer is 1 1/8

I need help on how to explain my answer.

Answers

Answer:

(1,-1)

Step-by-step explanation:

(1,-1) because if you subtract 5-6 you get -1 and 2-1 you get 1.

Answer:

if F where to move down 6 points then it would be 2, -1.

then if it where to move left 1 unit the coordinants for F prime would be

(1, -1)

Composition of functions

Answers

For example, in the composition of(f g)(x) = f(g(x)), we need to replace each x found in f(x), the outside function, with g(x), the inside function. Step 3: Simplify the answer. Examples – Now let's use the steps shown above to work through some examples. Example 1: If f(x) = –4x + 9 and g(x) = 2x – 7, find(f g)(x).

A pine block has a mass of 11.31 grams and a density of 0.40 g/cm3​ ​, what is the volume of this block?

Answers

Answer: 28.275cm^3

Step-by-step explanation: The density equation is mass/volume, and you can rearrange the equation to figure out what the volume is. By rearanging the equation, you get that volume= mass/ density. So 11.31/0.40=28.275cm^3

It costs 4.75 for a pack of 25 pencils. Find the unit price in dollars per pencil. If necessary, round your answer to the nearest cent.

Answers

Answer:

0.19

Step-by-step explanation:

the easiest way to solve for this is 4.75/25 (division). This is assuming I read this right and your asking the price of each individual pencil

0.19 dollars is the unit price.

As we can see that a pack of 25 pencils costs 4.75 dollars

So the cost for 1 pencil would be 4.75/25

=0.19

What does the pack mean?

A group of friends or a group of something

What is a pack example?

An example of to pack is putting collectibles in a box to be stored away. An example of to pack is putting your child's lunch in a lunch box for them to take to school.

An example of to pack is placing what you'll need for a weekend trip in a piece of luggage.

Learn more about nearest value here:https://brainly.com/question/7676027

#SPJ2

.

Solve 2x^2+16x+34=0?????

Answers

Answer:

2([tex]x^{2}[/tex]+8x+17)

Step-by-step explanation:

Factor out 2 of the equation.

Answer:

For real numbers: no solution

For complex numbers: [tex] x = -4 \pm 4i [/tex]

Step-by-step explanation:

2x^2 + 16x + 34 = 0

Divide both sides by 2.

x^2 + 8x + 17 = 0

There are no two numbers whose product is 17 and whose sum is 8, so this polynomial is not factorable.

We can use the quadratic formula.

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

We have a = 1; b = 8; c = 17

[tex] x = \dfrac{-8 \pm \sqrt{8^2 - 4(1)(17)}}{2(1)} [/tex]

[tex] x = \dfrac{-8 \pm \sqrt{64 - 68}}{2} [/tex]

[tex] x = \dfrac{-8 \pm \sqrt{-64}}{2} [/tex]

If you have not learned imaginary or complex numbers, stop here. Since the discriminant is negative, there is no real solution.

If you have learned complex numbers, then we continue.

[tex] x = \dfrac{-8 \pm 8i}{2} [/tex]

[tex] x = -4 \pm 4i [/tex]

Use PEMDAS to answer the following: 3(2x + 7)=

Answers

Answer:

Step-by-step explanation:

Use the Distributive Property to multiply.

3(2x + 7)  = (3 x 2x) + (3 x 7)

(3 x 2x) + (3 x 7)

Solve.

3 x 2x = 6x

3 x 7 = 21

6x + 21

You cannot simplify this.

So the answer is 6x + 21.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

Find an equation of the line that passes through the given point and has the indicated slope m.

Answers

Answer:

y = -5.5

Step-by-step explanation:

The only lines that have a slope of 0 are horizontal lines. Horizontal lines are always in the form y = c where c is a constant. Basically, on a horizontal line, no matter what x is, y will always be the constant c. Therefore, the x coordinate of our given point does not matter and we only have to look a the y-coordinate, which is -5.5. Therefore, the equation is y = -5.5.

Joe earned $10 in allowance this week and $2 for each extra chore he did. Let (c) represent the number of extra chores Joe did this week. Which of the following expressions best represents Joe's income for the week? a. 10 + 2c b. 10 + 2 c. 10 + c + 2 d. 10c + 2

Answers

Answer:

10 + 2c (i think)

Step-by-step explanation:

You do the $10 for his cores plus $2x The Amount of extra chores he did

A cabinet is 6 feet high, 3 feet wide and 2 feet long. The entire outside of the cabinet is being painted, except for the bottom. What is the surface area being painted?

Answers

Answer:

66ft²

Step-by-step explanation:

The cabinet is rectangular shaped. Using the formula for calculating the surface area of a reactangular bos to solve the problem.

Surface area = 2(LW+WH+LH) where;

L is the length of the cabinet

W is the width of the cabinet

H is the height of the cabinet.

If the entire outside of the cabinet is being painted, except for the bottom, then the surface area of the painted area will be expressed as;

S = LW+2WH+2LH

Given L = 2 feet, W = 3 feet and H = 6 feet

S = 2(3)+2(3*6)+2(2*6)

S = 6+2(18)+2(12)

S = 6+36+24

S = 66 feet²

Hence the surface area of the painted part is 66ft²

Which of the following statements is true?

A) Two similar triangles must be congruent.
B) Two congruent triangles must be similar.
C) Two triangles having ye same area must be congruent.
D) Two triangles having the same perimeter must be similar.

Answers

Answer:

A or C

Step-by-step explanation:

A particle is thrown vertically upwards with velocity 20 metre per second find a the distance travelled by the particle in first 3 second and displacement of the particle in 3 seconds ​

Answers

Step-by-step explanation:

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

[tex]\huge\underline\bold\green{Gïvëñ}[/tex]

[tex]\small\underline\bold\red{ v=0}[/tex]

[tex]\small\underline\bold\blue{ v = u+gt}[/tex]

[tex]\small\underline\bold\blue{0=20-10t}[/tex]

[tex]\small\underline\bold\blue{t = 2 sec}[/tex]

[tex]\huge\underline\bold\yellow{distance in first 2 second }[/tex]

s = s(t=0 to 2 second) + s(2second to 3 second)

s = (ut+1\2(at)^2+ (ut+1\2at^2)

s = 20×2-1\2×10×4+1\2×10×1

s = 25

[tex]\huge\underline\bold\blue{Displacement}[/tex]

s = 20 - 5 = 15

Hope it helps

3 and one half times two eleventh’s divided by two and one third times eleven equals...

Answers

3 1/2 x 2/11 divided by 2 1/2 x 11 = 7/6

7/6 — answer

Will give brainliest -2u+6w=9 rearrange the equation so w is an independent variable. PLEASE HELP!

Answers

Answer:

[tex]\Large \boxed{w=\frac{2u+9}{6} }[/tex]

Step-by-step explanation:

[tex]-2u+6w=9[/tex]

Adding 2u to both sides.

[tex]6w=9+2u[/tex]

Dividing both sides by 6.

[tex]\displaystyle w=\frac{2u+9}{6}[/tex]

Answer:

So we have this equation:

[tex]-2u + 6w = 9[/tex]

And we need to rearrange it to make the w an independent variable.

That means we need to solve the equation for w:

[tex]-2u + 6w = 9[/tex]

First thing we need to do is passing the [tex]-2u[/tex] to the right summing:

[tex]6w = 9 + 2u[/tex]

Next, we can pass the 6 (which is multiplying the w) to the right dividing:

[tex]w = \frac{9+2u}{6}[/tex]

we can also write it as this:

[tex]w = \frac{9}{6}+\frac{2u}{6}=\frac{3}{2}+\frac{u}{3}[/tex]

Look at this graph:

What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer: 1/3

Step-by-step explanation:

Two points on this graph are (40, 80) and (70, 90). These points can be used to find the slope. The formula for slope is (y2-y1)/(x2-x1).Plugging our numbers into the formula: (80-90)/(40-70) = (-10)/(-30) = 1/3

1.25+3/4+4/10+2 x 3/8+ 1.6

Answers

Answer:

(3x/4) + 4

Step-by-step explanation:

convert al to decimal and then add

1.25 + 0.75 +0 .4 + 2x 0.375 + 1.6

Emma wants to know how much her dog weighs. She held her dog and stepped on the scale. Their combined weight is 118.6 pounds. Emma weighs 85.4 pounds, so how many pounds does her dog weigh?

Answers

Answer:

33.2

Step-by-step explanation:

How many sets of distinct odd positive integers have a sum of 16?

Answers

Answer:

Answer:

I think its 4

Step-by-step explanation:

hope this helps

Five times the sum of a number and 4 is -15.

Answers

number is 3.8

subtract 4 from -15 then divide by five

Andrew, Marco, and Kenjo are going to
the movies. They want to sit together in
the same row. How many different seating
orders are possible?

Answers

Answer:

There are 6 seating orders possible.

Step-by-step explanation:

1. Andrew, Marco, Kenjo

2. Marco, Kenjo, Andrew

3. Kenjo, Marco, Andrew

4. Kenjo, Andrew, Marco

5. Andrew, Kenjo, Marco

6. Marco, Andrew, Kenjo

multiply the sum of 7/8 and 3/4 by the differences of 5/36 from 11/13

Answers

Answer:

[tex]=-\frac{331}{288}=-1.14930\dots[/tex]

Step-by-step explanation:

[tex](\frac{7}{8} + \frac{3}{4} )\times (\frac{5}{36} - \frac{11}{13} )\\\\\mathrm{Join}\:\frac{7}{8}+\frac{3}{4}:\quad \frac{13}{8}\\\\=\frac{13}{8}\left(\frac{5}{36}-\frac{11}{13}\right)\\\\\mathrm{Join}\:\frac{5}{36}-\frac{11}{13}:\quad -\frac{331}{468}\\\\=\frac{13}{8}\left(-\frac{331}{468}\right)\\\\=-\frac{13}{8}\times\frac{331}{468}\\\\\mathrm{Cross-cancel\:common\:factor:}\:13\\=\frac{1}{8}\times\frac{331}{36}\\\\=-\frac{1\cdot \:331}{8\times\:36}\\\\=-\frac{331}{288}[/tex]

1. Triangle ABC with coordinate points A(-2,3); B(-1,0); C(5,-4) is rotated 90 degrees clockwise. What
are the new image points for triangle A'B'C'?

Answers

Answer: A'(3,2),  B'(0,1)  and C'(-4, -5).

Step-by-step explanation:

When we rotate (a,b) 90 degrees clockwise, the new point will be (b,-a).

i.e. rotation rule for 90 degrees clockwise : (x,y) → (y,-x)

Given: Triangle ABC with coordinate points A(-2,3); B(-1,0); C(5,-4) is rotated 90 degrees clockwise.

Then, the new image points for triangle A'B'C' will be :

A(-2,3) → A'(3,-(-2)) =A'(3,2)

B(-1,0)→ B'(0,-(-1)) = B'(0,1)

C(5,-4) → C'(-4, -5)

Hence, the new image points for triangle A'B'C' are A'(3,2),  B'(0,1)  and C'(-4, -5).

In a pizza eating contest, a participant can eat 3 slices of pizza in 2 minutes. If he continues to eat at this rate, then how many slices of pizza will he eat in 10 minutes?

Answers

If you eat 3 slices of pizza in 2 minutes, you will be able to eat 15 slices of pizza in 10 minutes.

Every negative integer J is less than or equal to its inverse

Answers

Answer:

Here we have the statement:

" Every negative integer J is less than or equal to its inverse"

First, remember that when we are talking about negative numbers, the ones that are closer to 0 are the larger ones.

For example, if we have -1 and -5

-1 is closer to zero, then:

-1 > -5

Now we have a negative integer J.

The smallest negative integer is -1

it's inverse is 1/-1 = -1

Then, if j = -1:

j = 1/j

-1 = 1/-1 = -1

and if  j < -1 (-2, -3, -4, -5.......)

then for example, for j = -2

1/-2 = - (1/2)

and (-1/2) is a number between -1 and 0

So it is closer to zero than -2

then:

(-1/2) > -2.

Then, concludin, if IjI > 1, we have always that  0 > 1/j > -1 > j.

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