The perimeter of the rectangle below is 114 units. Find the length of side PQ.
Write your answer without variables.

The Perimeter Of The Rectangle Below Is 114 Units. Find The Length Of Side PQ.Write Your Answer Without

Answers

Answer 1

Answer:

36.

Step-by-step explanation:

The perimeter = 2 * length + 2 * width, so we have:

2(2x - 1) + 2(3x + 3) = 114

4x + 6x - 2 + 6 = 114

10x = 114+ 2 - 6 = 110

x = 11.

So the length = 3(11) + 3

= 36.


Related Questions

PLEASE HELP! 10 POINTS Which line would be the line of best fit for the scatter plot?

Answers

Answer:

The first one

Step-by-step explanation:

This line is the best fit for the scatter plot because it touches a lot more points than the second

Answer:

The first line

Step-by-step explanation:

Hey there!

Well the first lie is a positive slope just like the dots whereas,

the second line is a negative slope.

Therefore, the first line is the line of best fit.

Hope this helps :)

Sue's ice cream has 6 more scoopsthan Tessa's ice cream cone.

Sue's ice cream cone has 9 scoops.

How many scoops are on Tessa's ice cream cone?​

Answers

Answer:

Tessa has 3 ice-cream scoops

Step-by-step explanation:

How to do 18b ? pls explain too thanks

Answers

Answer:

m² + 9n² + 4m - 12n - 6mn + 4

Step-by-step explanation:

18b

(2+m-3n)² = (2+m-3n)(2+m-3n)

= 2*2 + 2*m + 2*-3n + m*2 + m*m + m*-3n - 3n*2 -3n*m - 3n*-3n

= 4 + 2m - 6n + 2m + m² - 3mn - 6n  - 3mn + 9n²

= m² + 9n² + 2m + 2m  - 6n - 6n - 3mn - 3mn + 4

= m² + 9n² + 4m - 12n - 6mn + 4

Answer:

(2+m-3n)(2+m-3n)

Step-by-step explanation:

Here's solution:

(2+m-3n)(2+m-3n)

4 + 2m - 6n + 2m + m^2 - 3mn - 6n - 3mn + 9n^2

4 + 4m - 12n + m^2 - 9mn + 9n^2

I hope this is right, I'm a bit tired.

Hope this helps, and have a good day :)!

*PLEASE ANSWER TY* What is the density of a 50-gram pyramid with rectangular base 4 cm x 8 cm and height 10 cm?

Answers

Answer:

[tex]\frac{0.47 g}{cm^{3} }[/tex]

Step-by-step explanation:

→ First work out volume of pyramid using the formula  [tex]\frac{lwh}{3}[/tex]  where 'l' is the length, 'w' is the width and 'h' is the height

[tex]\frac{lwh}{3}[/tex]  ⇔ [tex]\frac{4*8*10}{3}[/tex] ⇔  [tex]\frac{320}{3}[/tex] ⇔ 320 ÷ 3 = 106.666666667

→ Volume of pyramid = 106.666666667. Substitute this value into the density formula

Density = Mass ÷ Volume

Density = 50 ÷ 106.666666667

Density = 0.46875 to 1 decimal place is 0.47

Name five fractions whose values are between 3/8 and 7/12

Answers

Answer:

convert them to decimasls

Step-by-step explanation:

convert thhem to decimals to make it easier

Answer:

1/2 2/4 4/8 6/12 9/18

Step-by-step explanation:

Question 5
Kate is finding the factors of a large number. Using
a calculator, she has just worked out that 66 is a
factor of this number.
Suddenly, she realises that 22 must be a factor of
the large number as well. Explain why Kate is
correct.

Answers

Explanation : If 66 is a factor of this unknown value, then 22 must be as well considering that 22 is a factor off 66. Let's say that this large value is 330. It is a multiple of 66, as 66 [tex]*[/tex] 5 = 330. At the same time 22 [tex]*[/tex] 15 = 330, so 330 is a multiple of 22 as well - or vice versa, 12 is a factor of 330.

We can also tell that 15, 22 fit into 330 through another approach. 22 [tex]*[/tex] 3 = 66, and 66 [tex]*[/tex] 5 = 330, so 5 [tex]*[/tex] 3 = 15 - the same value. This proves that 22 will always be a factor of a value that is the factor of 66.

Any multiple of the number will be a factor or result of the number It could factor in or go into an equal amount of times

Find the number set which satisfies each of the problems. If 7 is subtracted from the absolute value of the sum of a number and 6, the result is 3.

Answers

Answer:

x=4      or    x= - 16

Step-by-step explanation:

|x+6|

Now subtract 7 which equals to 3.

|x+6|-7=3

|x+6|=10

Now remove the mode by adding plus minus sign in the front of 10.

x+6=±10

x+6=10 or x+6=-10

x=4      or x=-16

It is 4 or 16 you can put either one


Which statements are true based on the diagram? Check all that apply.
Points A, B, and D are on both planes.
Point H is not on plane R.
Plane P contains point F.
Points C, D, and A are noncollinear.
The line containing points F and G is on plane R.
The line containing points F and H is on plane R.

Answers

Answer:

The answer to this is a, b, d, e

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

The following dot plot shows the number of books each student checked out from the library last month. Each dot represents a different student. Which of the following is a typical number of books one student checked out?

Answers

Answer:

The answer isn't 1 because most of the students checked out more than 1 bookThe answer isn't 4 because most of the students checked out more than 4 booksThe answer isn't 12 because most of the students checked out fewer than 12 booksThe answer is 7 because most of the students checked out more books than 1, 4, and 12

In 7, seven kids checked out 7. [tex]7*7=49[/tex] (Correct answer because 49 is the biggest number here)

In 1, only two kids checked out 1. [tex]1 *2=2[/tex] (Wrong answer because 2 is lower than 49)

In 4, only eight kids checked out 4. [tex]4*8=32[/tex] (Wrong answer because 32 is lower than 49)

In 12, only two kids checked out 12. [tex]12*2=24[/tex] (Wrong answer because 24 is lower than 49)

So 7 is the correct answer because [tex]7*7=49[/tex] is the greatest equation here.

The 0 and 11 number book is the typical book one student checked out.

Given, the dot plot shows the no. of book  each student checked out from the library last month.

Since each dot represent a different student, so clearly from the dot plot the 8 number book is checked out by the most of the students because it has most of the dots.

Since the number 0 and 11 has only one dot it represent that only 1 student checked out these books last month.

Hence the 0 and 11 number book is the typical book one student checked out.

For more details on dot plot follow the link:

https://brainly.com/question/4398979

Which function has a constant additive rate of change of –1/4? A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1). A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1). A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5. A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.

Answers

Answer:

a) ◇G = ◇H - T◇S wiĺl be negative.

b) It will be a spontaneous reaction.  

Explanation:

As ◇H is less than 0 and T◇S is greater than 0 so if we put it in the equation we would get the negative maximum result. And when the energies are with negative sign they are said to be spontaneous.

(5,5-)
X=all real numbers

What is h decreased by 20

Answers

Answer:

h minus 20

Step-by-step explanation:

H - 20




This is because decreased means or signifies “-“

for n prove by
[tex]3 + 3 {}^{2} + 3 {}^{3} ... + 3 {}^{n} = \frac{3(3 {}^{n} - 1) }{2} [/tex]
thank you​

Answers

Answer:

[tex]3 + 3^2 + 3^3 ...+ 3^n = \frac{3(3^n - 1)}{2}[/tex]

Step-by-step explanation:

Given

[tex]3 + 3^2 + 3^3 ...+ 3^n[/tex]

Required

Show that the sum of the series is [tex]\frac{3(3^{n}-1)}{2}[/tex]

The above shows the sum of a geometric series and this will be calculated as shown below;

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

Where

a = First term;

[tex]a = 3[/tex]

r = common ratio

[tex]r = \frac{3^2}{3} = \frac{3^3}{3^2}[/tex]

[tex]r = 3[/tex]

Substitute 3 for r and 3 for a in the formula above;

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex] becomes

[tex]S_n = \frac{3(3^n - 1)}{3 - 1}[/tex]

[tex]S_n = \frac{3(3^n - 1)}{2}[/tex]

Hence;

[tex]3 + 3^2 + 3^3 ...+ 3^n = \frac{3(3^n - 1)}{2}[/tex]

12 5 that is the answer for your question

URGENT!!!! PLEASE HELP NOW!!! WHO EVER GIVES THE CORRRECT ANSWER WILL GET BRAINLIEST!!!

Items Sold at a Clothing Store
The bar graph shows the number of each item sold at a clothing store. Which
statement about the graph is true?​

Answers

Answer:

The correct ans is..... ( which i believe )

3rd option

Hope this helps...

Pls mark my ans as brainliest

If u mark my ans as brainliest u will get 3 extra points

Answer:

3rd option

Step-by-step explanation:

because 2/5 of 40 is equal to 16, and thats the equivelent of the pants sold.

solve for m. √m-7 = n+3 It is worth like 40 points

Answers

Answer:

sqrt of (m-7) = n+3

m = (n+3)^2 + 7 or m= n^2 + 6n + 16

sqrt of (m)-7 = n+3

m = (n+10)^2 or m =n^2 + 20n + 100

Step-by-step explanation:

(2) move the constants to the other side, and square

or  (1) square and move constants

then you can solve for m

Answer:

[tex]n^2+6n+16[/tex]

Step-by-step explanation:

I'm going to assume you meant [tex]\sqrt{m-7} = n+3[/tex], not  [tex]\sqrt{m} - 7 = n+3[/tex].

[tex](\sqrt{m-7}) ^2 = (n+3)^2\\\\(\sqrt{m-7}^2) = (n+3)^2\\\\(m-7)^{\frac{2}{2} } = (n+3)^2\\\\m - 7 = (n+3)^2\\\\m - 7 = n^2 + 2n\cdot3 + 3^2\\\\m - 7 = n^2 + 6n + 9\\\\m - 7 + 7 = n^2 + 6n + 9 + 7\\\\m = n^2 + 6n + 16[/tex]

Hope this helped!

The net of a right rectangular prism is shown below: Find the volume of the prism with the given net (in cubic inches).

Answers

Answer:

240 inches cubed

Step-by-step explanation:

Volume equals length times width times height. Imagine the net is folded into its shape. The product of the base, 6 x 10 = 60, and the height, 4, equals 240. Remember that each square accounts for two inches. Hope this helps.

It is two hundred and forty inches cubed.

please solve this fast​

Answers

Answer:

69

Step-by-step explanation:

Jill paid $36 for calendars marked down $5 apiece from the original price, she could have gotten 5 fewer calendars. How many cards did she buy

Answers

Answer:

she bought 7 cards

Step-by-step explanation

7x5=35 and im sure there is tax

She bought 7 cards .. I say that bc if you divide 36 and 5 you’d get 7 and 5x7 is 35

The box plots display the same data set for the number of touchdowns a quarterback threw in 10 seasons of play. Including outlier: A number line goes from 5 to 30. The whiskers range from 5 to 29, and the box ranges from 18 to 26. A line divides the box at 21.5. Excluding outlier: A number line goes from 5 to 30. The whiskers range from 17 to 29, and the box ranges from 19 to 27. A line divides the box at 21. There is an asterisk at 5. Complete the statements describing the effect of the outlier on the measures of variability. The outlier of the data set is . The range of the data set including the outlier is more than the one excluding the outlier. The interquartile range of the data set including the outlier is more than the one excluding the outlier. The outlier had the most effect on the .

Answers

Answer:

5

12

0

range

Step-by-step explanation:

i just did it, these are the right answers.

Answer:

5,12,0, and the last answer is range

Step-by-step explanation:

Did it on Edge2021. Hope this helps!

Find the measure of c.

Answers

Answer:

140°

Step-by-step explanation:

The circle has a central angle of 80. This means that the arc it intercepts is also 80°. Therefore, the rest of the circle not intercepted by the arc is 360-80=280°

Remember that inscribed angles have one-half of the arc-length it intercepts. We can see that Angle C intercepts the entire circle except for the arc intercepted by Angle O. Therefore, the arc intercepted by Angle C is 280°. This means that Angle C is the half of 280, or 140°.

The answer is C is equal to 140

Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The rate of change is 3 and the y-intercept is 4 How much more is the rate of change of function A than the slope of function B? 3 6 2 9

Answers

Answer:

6

Step-by-step explanation:

Function A

y = 9x + 4

Function B

y = max+b

m = 3 and b = 4

y = 3x+4

The difference in the slopes is 9-3 = 6

Answer:

6

Step-by-step explanation:

The two functions are A and B.

A's equation is khown

● y =9x + 4

B is also khown. We should only gather tge information.

● the rate of change is 3

●the y-intercept is 4

So B's equation is:

● y = 3x + 4

3 is the rate of change wich is khown as the slope.

Divide A's slope by B's slope to khow how much A's slope is bigger than B's.

● 9/3 = 3

Substract 3 from 9 and you get the difference 9-3= 6

help me plz can i have help

Answers

Answer:

[tex]10^{-4}[/tex]

Step-by-step explanation:

6x10^-4 because the decimal is in the thousands place

Can someone please help me please and thanks.

Answers

Answer:

The probability of 3 students having blood type A is 1.23 , having blood type B is 0.3 and having blood type AB is 0.12

Step-by-step explanation:

A is 1.23 B is .3 AB is .12

The US Department of Health and Human Services wants to know whether the healthcare system is achieving its goals in Virginia. Much information about

healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US

Department of Health and Human Services conducted the Virginia Health Survey, which was used to interview a random sample of 65,439 people who live in

the state of Virginia.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 71% of males and 88% of females in the sample had visited a general practitioner at least once during the past year. Do you

think these estimates are close to the truth about the entire population? Explain. (6 points)

Answers

Answer:

Part A: All the residents of the state of Virginia make up the population, while the sample is the number of those interviewed–65,439 people.

Part B: No

Step-by-step explanation:

Part A: In statistical analysis, the population refers to the study area of the research; and in this case– the state of Virginia. While the sample represents a considerable representation of the population in the survey.

Part B: No because we are told The US Department of Health and Human Services used a random sample, not a non-random sampling technique; which implies that the feedback was random and may not likely be close to the truth about the entire population.

Lara is x years old and her two best friends are (x-2) and (x+2). Write an expression for the square of Lara’s age and the product of ages of Lara’s best friends.

Please help with a detailed step by step thanks

Answers

Answer: x^2 + (x+2)(x-2)

Step-by-step explanation:

The caret ^ before the 2 indicates that the 2 is an exponent. It means "x squared"

If the keyboard doesn't allow exponents the caret is the thing to use.

The expression for the square of Lara’s age and the product of ages of Lara’s best friends is x² + (x-2)(x+2)

The first thing to do is to calculate the square of Lara's age and this will be:

= x × x = x²

The product of the ages of Lara’s best friends will be (x-2)(x+2).

Therefore, the expression that can be used to calculate the square of Lara’s age and the product of ages of Lara’s best friends is x² + (x-2)(x+2)

Read related link on:

https://brainly.com/question/16592251

Which table represents a linear function? A, B, C, D

Answers

Answer:

Table B represents a linear function.

Step-by-step explanation:

Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.

the table that represents a linear function is B

Tamara walked 3/4 mile in 1/2 hour. Which of the following represents the unit rate that Tamara walked? A. 1/2 mi/h B. 2/3 mi/h C. 3/4 mi/h D. 1 1/2 mi/h Include ALL work please!

Answers

Answer:

1 1/2 miles / hour

Step-by-step explanation:

We want distance / time

3/4 miles

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

1/2 hour

3/4 ÷ 1/2

Copy dot flip

3/4 * 2/1

3/2

1 1/2 miles / hour

Answer:

D

Step-by-step explanation:

Multiple (3/4)  by 2 to find the information for one hour)

6/4 in one hour

3/2 or 1 + 1/2 mi/h

D is the answer

5. Find the measures of the following. Round to the nearest whole number

Answers

Answer:

a - HT = 17

b - ∠T = 62

c - ∠H = 28

answer is:

a-17


b-62


c-28

Find x: 50*5x=5000

A) 25
B) 20
C) 50
D) 75

Answers

Answer:

[tex]\huge\boxed{B) x = 20}[/tex]

Step-by-step explanation:

50 * 5x = 5000

Dividing both sides by 50

=> 5x = 5000/50

=> 5x = 100

Dividing both sides by 5

=> x = 20

Answer:

the answer is B

Step-by-step explanation:

X: (x)50=20

If 120 is divided into 3 parts which are proportional to 1, [tex]\frac{1}{2} [/tex], and [tex]\frac{1}{6}[/tex], what is the middle part?

Answers

[tex]k+\frac{k}{2}+\frac{k}{6}=120\\\\6k+3k+k=720\\10k=720\\k=72[/tex]

72,36,12

answer: 36

So if we put 120 Into 3 parts 72,36,12 then the answer would be 36

h(x+1)=x^2-4 evaluate function by substuting x+1

Answers

Answer:

h(x + 1) = (x+3)(x-1)

Step-by-step explanation:

Simply plug the value of x+1 into the equation for x.

h(x) = x^2 - 4

h(x + 1) = (x + 1)^2 - 4

h(x + 1) = x^2 + 2x + 1 - 4

h(x + 1) = x^2 + 2x - 3

h(x + 1) = (x+3)(x-1)

Cheers.

Answer:

h(t)= t² - 2t -3

Step-by-step explanation:

h(x+1)= x²-4 is the given function

We can write it x²-4 as:

(x+2)(x-2)= (x+1+1)(x+1 - 3)

Substituting x+1  with  t. Then function is:

h(t)= (t+1)(t-3)= t² - 2t -3

or

h(t)= t² - 2t -3
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