The length of a rectangle is 6 centimeters less than the width. The perimeter is 206 centimeters. Find the width and the length.

Answer:

Step-by-step explanation:

Parabolas can be written in the form

[tex]y = a(x-h)^2+k[/tex]

The vertex is (h, k). The vertex in the graph is (5, 0).

so far, we have

[tex]y = a(x-5)^2+0\\y = a(x-5)^2[/tex]

The other points we are given are (6, 1), (7, 4), (8, 9)

[tex]9 = a(8-5)^2\\9 = a(3)^2\\9 = 9a\\a = 1\\\\4 = a(7-5)^2\\4 = a(2)^2\\4 = 4a\\a = 1\\\\1 = a(6-5)^2\\a = 1[/tex]

In vertex form

[tex]y = (x-5)^2\\y = x^2 - 10x + 25[/tex]

Answer:

The ratio of the volumes of the similar solids is 1331:343.

Step-by-step explanation:

Ratios

Given the ratio of two lengths is a:b. Given a two-dimensional shape is similar to another shape, the ratio of their areas is [tex](a/b)^2[/tex], and the ratio of their volumes is [tex](a/b)^3[/tex].

We know the ratio of the areas of the bases of two similar rectangular prisms is 121:49. Thus, the ratio of its dimensions is:

[tex](a/b)^2=(121/49)[/tex]

Taking the square root:

[tex]a/b = \sqrt{121/49}=11/7[/tex]

Thus, the ratio of the volumes is:

[tex](a/b)^3=(11/7)^3=1331/343[/tex]

The ratio of the volumes of the similar solids is 1331:343.

Answer:

d

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

The solution is (5 , 1)

Step-by-step explanation:

Answer:

x−y=12  

Step-by-step explanation:

Answer:

so.

Step-by-step explanation:

Answer: 72.5 lbs

Step-by-step explanation:

Create the equation:

145=2x -->where x is how much the baby turtle weighs

Solve the equation:

Divide both sides by 2 to get 72.5 lbs

Answer:

Graph is in the picture below

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function

Finding other factors, considering (x - 6) is the factor

Answer:

I think it's because it is easier to solve when put into equations.

Step-by-step explanation:

Answer:

I think that the answer is AB+BC=AC

Answer:

No there will be 2 left.

Step-by-step explanation:

count backwards from 38 by 4's

Answer: -5/3

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex]

You substitute the numbers in and subtract to get -5/3.

$14

you need to set up a preportion

if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.

anyways what ya finna do is make a fraction

5                  8

---        =      ----

8.75             x

then u cross multiply. 8 x 8.75 = 70

70 = 5x

x= $14

y=-x

slope for perp line = 1

2y=-x+6

y=-1/2x +3

slope for perp line = 2

15.

i don’t wanna do all sorry it’s a lot of work so i’ll tell u how to do it instead. first write it in slope intercept form which is

y-y1=m(x-x1)

it’s parallel which means it shares the same slope. if it’s perpendicular it would be opposite reciprocals so for -3/2 the perp slope would be 2/3.

the line is

y+1=3/4(x-4)

we distribute the 3/4 so it’s now

y+1=3/4x-3

then we subtract the 1

y=3/4x-4 is the equation boom done

Answer:

20%

Step-by-step explanation:

Subtract the selling price from the wholesale price.

86.40-72.00=14.4

Find the percentage of the difference from the wholesale price.

14.4/72.0=0.2

This means 20%.

Answer:

11 17/21

Step-by-step explanation:

Answer:

The answer is D. all real numbers

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Given that:

There are 6 boxes of pencils, 14 boxes of pens and 16 boxes of paper.

Total number of original boxes = 6 + 14 + 16 = 36

To find:

Number of additional boxes of paper to be added so that the probability of getting a paper box while selecting a random box becomes exactly [tex]\frac{1}{2}[/tex].

Solution:

First of all, let us have a look at the formula of probability:

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, number of favorable cases will be equal to the number of paper boxes and

Total number of cases will be equal to the total number of boxes available.

Let us first calculate the original probability:

[tex]\frac{16}{36}\neq \frac{1}2[/tex]

If 1 paper box is added, then probability

[tex]\frac{17}{37}\neq \frac{1}2[/tex]

If 2 paper boxes are added, then probability

[tex]\frac{18}{38}\neq \frac{1}2[/tex]

If 3 paper boxes is added, then probability

[tex]\frac{19}{39} \neq \frac{1}2[/tex]

If 4 paper boxes is added, then probability

[tex]\frac{20}{40} = \frac{1}2[/tex]

Therefore, we need to add 4 paper boxes.

The probability of randomly selecting a box of paper from this shipment to be exactly 1/2  need to add 4 boxes.

Given that,

The shipment contains 6 boxes of pencils

And 14 boxes of pens, and 16 boxes of paper.

We have to find,

How many additional boxes of paper must be added to the original 36 boxes in order for the probability of randomly selecting a box of paper from this shipment to be exactly 1/2.

According to the question,

Total no. of original boxes = 6 + 14 + 16 = 36

Formula for probability of an event E can be observed as:

[tex]P(E) = \frac{Number \ of \ favourable \ cases}{Total \ number \ of \ cases }[/tex]

Here, number of favorable cases will be equal to the number of paper boxes,

Total number of cases will be equal to the total number of boxes available.

The probability of randomly selecting a box of paper from this shipment to be exactly 1/2 .

Let us first calculate the original probability:

[tex]\frac{16}{36} \neq \frac{1}{2}[/tex]

The probability of original paper boxes is not  1\2.

If 1 paper box is added, then probability,

[tex]\frac{17}{37} \neq \frac{1}{2}[/tex]

The probability of 1 paper boxes is not 1\2.

If 2 paper box is added, then probability,

[tex]\frac{18}{38} \neq \frac{1}{2}[/tex]

The probability of 2 paper boxes is not 1\2.

If 3 paper boxes are added, then probability,

[tex]\frac{19}{39} \neq \frac{1}{2}[/tex]

The probability of 3 paper boxes is not 1\2.

If 4 paper boxes is added, then probability,

[tex]\frac{20}{40} = \frac{1}{2}[/tex]

The probability of 4 paper boxes is 1\2.

Hence, The probability of randomly selecting a box of paper from this shipment to be exactly 1/2  need to add 4 boxes.

To know more about Probability click the link given below.

https://brainly.com/question/23044118

Answer:

HK = 16

Step-by-step explanation:

12^2+x^2=20^2

x = HK

Answer:

The school purchased 4 soccer balls.

Step-by-step explanation:

Total cost of basketball and soccer ball = $248

We are given: The number of basketballs purchased was 6 less than 3 times the number of soccer balls purchased.

We can write it as

x = Soccer Balls

3x-6 = Basketballs

Cost of each Soccer Ball = $20

Cost of each Basketball = $28

The equation will become

[tex]20(x)+28(3x-6)=248[/tex]

Solving the equation to find x

[tex]20(x)+28(3x-6)=248\\20x+84x-168=248\\104x=248+168\\104x=416\\x=\frac{416}{104} \\x=4[/tex]

So, Soccer balls x = 4

Basketballs = 3x-6 = 3(4)-6 = 12-6 = 6

So, the school purchased 4 soccer balls.

Answer:

4.-7/4 . 5. 5/3 6. -4/1

7. 3/1,  8. -2/1 9. 6/1

Step-by-step explanation:

Answer:

sure when i have money

Step-by-step explanation:

i don't have money lol

Answer:

I think is "Became 3 times as large"

Step-by-step explanation:

Answer:

Step-by-step explanation:

Alberto is correct in reasoning that all lines and rays are congruent to each other but incorrect in his reasoning about the line segments.

Line segments are equal in measure only when they are equal in length. They can have any orientation on a plane.

Since, AB = 3 units

CD = 4 units

Therefore, AB ≠ CD

Error in AB ≅ CD

Answer:

y = 4x - 5

Step-by-step explanation:

Use the point slope form and add in the ordered pairs [tex]\frac{3 + 1}{2 - 1}[/tex] , and once you solve this it equals [tex]\frac{4}{1}[/tex], or just 4. Now you have the first part of your equation, y = mx + b, but now you have y = 4x + b. To find b, substitute the x and y values of one of the given ordered pairs in for x and y in the equation, and I am using (2,3). The equation now looks like this: 3 = 4(2) + b. Now solve: 3 = 8 + b

Subtract 8 from both sides to get -5 = b. Now you have a full equation: y = 4x -5

Answer: it could be boy girl boy girl, or it can go boys first and girls last, or it can be girls first and boys first, so i would say 3 ways

Step-by-step explanation:

hope this helped