The number of women elected to the us house of representatives has increased nearly every congress since 1985 in ths 99th Congress to beginning in 1985 there were 22 female representatives in the 109th Congress beginning in 2005 there were 68 female representatives write a linear eauation that models the number of female members lf the house of representatives x years after 1985

Answers

Answer 1

Answer:

y = 2 · 3 x + 22

Step-by-step explanation:

Analysis: Number of female representatives in 1985 = 22

This can be represented by the point (0,22).

Number of representatives in 2005 = 68.

This can be represented by the point (2205-1985,68)

= (20,68)

Slope of the line : [tex]\frac{68-22}{20-0} =\frac{46}{20} =\frac{23}{10} =[/tex] 2 · 3

∴ Equation of the line :  y = mx + c

⇒ 22 = 2 · 3 (0) + c

⇒ C = 22

∴  y = 2 · 3 x + 22


Related Questions

Cual es la constante de proporcionalidad de 1/2 ?

Answers

Answer:

Therefore, the relationship given in the table is proportional. When we look at the above table when x gets increased, y also gets increased, so it is direct proportion. Substitute 2 for x and 1 for y. So, the constant of proportionality is 1/2.

PLEASE HELP! ASAP I NEED HELP!

Answers

a) 314.285728572857.......

b) i think 5.4 boxes

c) its an under estimate cuz actual value is more than 5

Step-by-step explanation:

a) To find the area of her garden, you need to know the area of a circle: πr²

diameter = 20m

radius = 10m

3.14 × 10² = 314m²

b) If 1 box covers 58m², then we need to work out how many 58m² can fit into her garden, but because its an estimate we round the numbers to 1 significant figure

314 ÷ 58 ≈ 300 ÷ 60 = 5

c) The answer is an underestimate because the actual value is 5.4137...

314 ÷ 58 = 5.4137..

please help! i need i misses 2 lessons

Answers

Answer:

just add 1/6 and 2/3 to 650

Step-by-step explanation:

Holly is displaying a postcard collection on a bulletin board that is 35 3/4 inches wide. Each postcard is 5 7/8 inches wide. Holly estimates that the number of postcards she can display in each row is 7. Is this the best estimate Explain

100 POINTS AND BRAINLIEST

Answers

Answer:

Yes.

Step-by-step explanation:

By looking at the numbers of 35 3/4 inches and 5 7/8 inches, you already know that 35 ÷ 5 is 7. Holly might need extra space in between the postcards, which is perfect since she has the leftover fractions, that equal more than 1.

-kiniwih426

Length of board=35 3/4=143/4in

Length of postcard=5 7/8=47/8in

Total postcards

. [tex]\\ \sf\longmapsto \dfrac{143}{8}\div \dfrac{47}{8}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{8}\times \dfrac{8}{47}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{47}[/tex]

[tex]\\ \sf\longmapsto 3(Approx)[/tex]

No not best estimated option

Given f(x) = 5x + 32, find the following.pls don't send me a link to something and. pls pls help me this is due today and I'm still struggling with it ​

Answers

Answer:

thank you for points....

i need help to a can get an A

Answers

Answer:

See below:

Step-by-step explanation:

We can use the Pythagorean Theorum to find out the missing side because we have a 90 degree right angle and 2 sides already given to us.

The Pythagorean Theorem states that a^2 + b^2 = c^2

a in this case would be the shortest side,

b in this case would be the 2nd longest side,

c is the hypotenuse.

[tex]a^{2} + b^{2}= c^{2} \\a^{2} + 15^{2} = 17^{2}[/tex]

If we solve this, we get 8!

Cheers!

pls need answer fast asap need help 100 pts!!!

Answers

Answer:

Answer:

8% is the answer

Answer:

8%

Step-by-step explanation:

May I please receive help?

Answers

4, -1/4 -1,

we can do this simply by

(y2-y1)/(x2-x1)

and simplifying

A little help? A set of numbers is given below. √72, 9.25, √83, 2, 8.7 Which list correctly orders the numbers from least to greatest?​

Answers

Answer:

9.25, 83^1/2, 8.7, 72^1/2, 2 From greatest to least

2, 72^1/2, 8.7, 83^1/2, 9.25 from least to greatest

Step-by-step explanation:

92x76cx8466cx7576

help

Answers

Answer: guy are you ok

Step-by-step explanation:

Answer:

yea im with cedgerton61

Step-by-step explanation:

HELP PLEASE THIS IS DUE TOMORROW 1. Mr. Connors drives his car 11 miles each day to and from work. Is the distance Mr. Connors drives commuting to work proportional to the number of days he works? How do you know?​

Answers

Answer:

short answer Yes and No

Step-by-step explanation:

long answer

let's say he drives to and from work 5 days a week that's 110 hours driving to and from work. But let's say he only drives to work and from work 2 days a week that only 44 hours driving to and from work. But now let's say he only drives 2 days a week but has to keep driving to and back from work because he forgets something at his house or at work and say he hasto drive and extra 77 hours because he forgot something that's now 99 hours he drove to and from work but only worked 2 days out of the week

Hope this helped :)

Evaluate the expression when x= -7. x²+4x-3​

Answers

The answer is 18
-7^2+4(-7)-3
49+(-28)-3
21-3
18

49+(-29)-3.Answer:

The answer is -80

Step-by-step explanation:

1. What I did first was plug in -7 into "x", so then your  expression is[tex](-7^{2} )+4*(-7)-3[/tex]

2. Then you multiply 7 two times and get - 49... So then you have -49+4(-7)-3

3. Then you multiply the 4 and -7 and get -29... So now you have -49+(-29)-3

4. Then you add -49 and -29. but keep the negative and get -77... so now you have -77-3

5. Then you add -77-3 but keep the negetive and get -80.

I hope this helps... have a wonderful day.

A container manufacturing company was contracted to design and manufacture cylindrical cans for fruit juice. The volume of each can needs to be 0.946 liters. In order to minimize production costs, the company wishes to design cans that require the smallest amount of material possible. (This means that you need to design a can with volume=.946 liters and the smallest possible surface area. Explain the relationship between the surface area and the amount of material.)

Answers

The volume of the cylinder is the amount of fruit juice it can contain.

The relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

The given parameter is:

[tex]\mathbf{V = 0.946}[/tex]

The volume of a cylinder is calculated as:

[tex]\mathbf{V = \pi r^2 h}[/tex]

Make h the subject

[tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

The surface area (A) of a cylinder is:

[tex]\mathbf{A = \pi r^2 + \pi rh}[/tex]

Substitute [tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \pi r \times \frac{V}{\pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{V}{r}}[/tex]

Differentiate

[tex]\mathbf{A' = 2\pi r - Vr^{-2}}[/tex]

Set to 0

[tex]\mathbf{2\pi r - Vr^{-2} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 2\pi r = Vr^{-2}}[/tex]

Multiply through by r^2

[tex]\mathbf{ 2\pi r^3 = V}[/tex]

Solve for r

[tex]\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{0.946}{r}}[/tex]

So, we have:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Hence, the relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Read more about surface areas and volumes at:

https://brainly.com/question/3628550

Fill in the missing number. 40% of = 800

Answers

Answer:

40% of 800 is 320

Step-by-step explanation:

0.40×800=320

Write 40% as
40/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
40/100 of 800 = 40/100× 800

Therefore, the answer is
If you are using a calculator, simply enter 40÷100×800 which will give you as the answer.

Which of the following best describes the number shown below?
0.535353...

A.
rational
B.
irrational
C.
both rational and irrational
D.
neither rational nor irrational

Answers

Answer:

irrational

Step-by-step explanation:

irrational. An irration number can not be expressed as a fraction or a decimal. This can not because this number goes on forever and it will never end, and you can write a never ending number as a fraction or a decimal. here is a tip to remember if a number never end like pi then it is irrational,

DO NOT ANSWER IF YOU DO NOT KNOW


What is 1 way you can tell if two people are paying the same rate?

Answers

Answer:

By saying "paying the same rate"

I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.

If so then there are a couple of factors at play.

First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.

Bill has two dollars and 2 cents. How much money does he have?

Answers

Answer:

He has $2.02

Step-by-step explanation:

You answered the question in the first sentance.

بلاد سركوليشن سيستم​

Answers

Uhhhhh yes…? Boiwhatdaellboi

Need some advice Please help me!!! also enjoy these points

Answers

Answer:

what type of help......

Five hundred students were surveyed about their favorite activity. The results are shown in the table.ActivityPercent of StudentsVideo Games25Hiking22Reading19Bike Riding18Movies16How many more students prefer playing video games to bike riding?studentsListen to the complete questionTools are not currently accessible

Answers

Answer:

Video game- 25

Bike riding - 18

Subtract them and you will get the answer.

= 7

Question 1 of 5 Use properties to evaluate (-15: 7), . O A. 5 2 5 O B. - O c. الا لا 2 OD. الا) SUBMIT

Answers

Answer:

Step-by-step explanation:

pues supongo que tuviste que traducirlo y no te sirvio de nada la respuesta pero no se nada B 5-8 esa creo yo la verdad

What is the best description of the relation?

Answers

Answer:

The relation is not a function.

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input  and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input corresponds with exactly one output.

In this case, the answer is no.  The input value of 10 corresponds with two output values, 4 and 20.  It only takes one input value to associate with more than one output value to be invalid as a function.

Therefore, the given relation is not a function.

If x varies inversely as y, which statement is true?

Answers

Answer: The Inverse variation

Step-by-step explanation:

The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.

Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?

Answers

Answer:

30m

Step-by-step explanation:

If 1=5

Then

6=?

6÷1×5=30m

Find the least square number divisible by 5, 10, 15. (a) 100 (b) 625 (c) 900 (d) 225​

Answers

Answer:-

900

Verification:-

[tex]\\ \sf\longmapsto \dfrac{900}{5}=180[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{10}=90[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{15}=6[/tex]

Answer:

a) 100

→ [tex]\frac{100}{5}[/tex] = 20

→ [tex]\frac{100}{10}[/tex] = 10

→ [tex]\frac{100}{15}[/tex] = 6⅔

100 is not divisible by 15

b) 625

→ [tex]\frac{625}{5}[/tex] = 125

→ [tex]\frac{625}{10}[/tex] = 62.5

→ [tex]\frac{625}{15}[/tex] = 41.6

625 is not divisible by 10 and 15.

c) 900

→ [tex]\frac{900}{5}[/tex] = 180

→ [tex]\frac{900}{10}[/tex] = 90

→ [tex]\frac{900}{15}[/tex] = 60

900 is the correct answer.

d) 225

→ [tex]\frac{225}{5}[/tex] = 45

→ [tex]\frac{225}{10}[/tex] = 22.5

→ [tex]\frac{225}{15}[/tex] = 15

225 is not divisible by 15

900 is the correct answer.

which of the following inequalities is graphed above?

Answers

Answer:

1st option

y=-3/8x+3

Please help me on this it’s due please help me

Answers

9 1/2 * 15.15 = $143.925 dollar

write 7/571 as a mixed number!

Answers

Answer:

It is a proper fraction so it cannot be written as a mixed number.

Step-by-step explanation:

Question 6 of 25
What is sin 45°?

Answers

Answer:

B.

[tex] \frac{1}{ \sqrt{2} } [/tex]

Cuantos lugares sobran de acuerdo con el número de las mesas y de los invitados que te tienen?

Answers

Answer:la cantidad de invitados y la cantidad de mesas que no nos dio por favor agréguelo para que pueda ayudarlo :))

Step-by-step explanation:

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