Uche is a cartographer. He picks a scale to fit a map of India onto a page of an atlas. The page is 121212 by 121212 inches, with 0.750.750, point, 75 inch margins on all 444 sides. India measures 3{,}2143,2143, comma, 214 kilometers from north to south and 2{,}9332,9332, comma, 933 kilometers from west to east. Uche wants the longest dimension of India to fit exactly in between the margins of the page. If kkk is the number of kilometers per inch in Uche's scale, which equation best models the situation

Answers

Answer 1

The scale ratio of a point A to another point B is the division of the length of B by the length of A. The best equation that models the situation is: [tex]10.5k= 3214[/tex]

The page dimension is:

[tex]Length = 12[/tex]

[tex]Width = 12[/tex]

The length and the width of Uche's book are equal; this means the pages of Uche's book have the shape of a square

The margin of 0.75 on either sided means the usable dimension is:

[tex]Length = 12 - 2 * 0.75 =10.5[/tex]

The dimension of India is:

[tex]Length = 3214[/tex]

[tex]Width =2933[/tex]

The longest side in India's dimension is:

[tex]Longest = 3214[/tex]

From Uche's book, the longest dimension is:

[tex]Longest = 10.5[/tex]

So, the scale equation is:

k * longest length of Uche's book = longest side of India

This gives:

[tex]k * 10.5 =3214[/tex]

[tex]10.5k =3214[/tex]

Read more about scale ratio at:

https://brainly.com/question/16192120


Related Questions

I cannot find the answer to my question

Answers

Answer:

14M

Step-by-step explanation:

7*2*M

14*M

14M

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

        ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                       PEACE!

You have $90,000 in cash. You can deposit it today in a mutual fund earning 7.5
percent semiannually; or you can wait, enjoy some of it, and invest $12,000 in your
brother's business after two years. Your brother is promising you a return of at least 12
percent on your investment. Whichever alternative you choose, you will need to cash
in at the end of 8 years. Assume your brother is trustworthy and that both investments
carry the same risk. Which one will you choose?

Answers

I will go to the Bahamas instead and think about later

Can you help me? Please

Answers

9514 1404 393

Answer:

  a.

Step-by-step explanation:

For an even-index radical, ...

  [tex]\sqrt[n]{x^n}=|x|\qquad\text{n even}[/tex]

This lets us simplify the given expression as follows:

  [tex]\sqrt[4]{81x^6y^4}-|y|\sqrt[4]{x^6}-\sqrt[4]{16x^2}=\sqrt[4]{(3xy)^4x^2}-|y|\sqrt[4]{x^4x^2}-\sqrt[4]{2^4x^2}\\\\=3|xy|\sqrt[4]{x^2}-|xy|\sqrt[4]{x^2}-2\sqrt[4]{x^2}=\boxed{2|xy|\sqrt[4]{x^2}-2\sqrt[4]{x^2}}[/tex]

what is empowerment and radication please that is not from google

Answers

Answer:

In MATH:

Empowerment - Gaining the skills required in language and practices to fully understand math.

Radication - The process of extracting a number's root.

In ENGLISH:

Empowerment - The process of gaining more power over anything, including yourself, others, society, government, and corporations.

Ex - In the spirit of empowerment, the company has implemented a new system that asks employees to nominate one another for bonuses.

Radication - The process of establishing, fixing, or creating.

Ex - The high prestige of the premier is radicated in the hearts of the people.

To which number sets of numbers does the number 3.567...belong?

Answers

Answer:

It's irrational number
Answer: irrational number set, real number set

If the decimal digits do not repeat in some known pattern, then the number is irrational. We cannot write it as a ratio or fraction of two integers. If it did have a pattern, then we can use algebra to find the fractional representation of that number. Based on what is shown, it looks like there is no pattern so that's why the value is irrational. The number is also a real number as this is the case with any number you'll encounter unless you're dealing with complex numbers (but your teacher may not have introduced that topic yet).

Write an equation that expresses the relationship. Then solve the equation for B.
T varies directly as the cube of A and inversely as B.
T= what?
​(Use k as the constant of​ variation.)

Answers

Answer:

kkkkkkkllllll

Step-by-step explanation:

llllllllllllllllllllllllll

1001112 = [ ? ]10
?
what number belongs where the question mark is

Answers

I suppose you're supposed to convert 100111 from base 2 to base 10. We have

[tex]100111_2=2^5+2^2+2^1+2^0=32+4+2+1=39_{10}[/tex]

so the missing number is 39.

Using minutes as the unit of measurement on the left-hand side of a constraint and using hours on the right-hand side is acceptable since both are a measure of time.

a. True
b. False

Answers

Answer:

True

Step-by-step explanation:

i need help will rate you branliest

Answers

Answer:

d. The graph of g(x) is the graph of f(x) reflected over the x-axis.

Step-by-step explanation:

The standard transformation

g(x) = - f(x)

is a simple reflection about the x-axis.

So the answer is the last option.

Answer:

Last one

Step-by-step explanation:

The function we are interested in are g(x) and f(x).

● g(x)= (-1/x)

● f(x)= 1/x

Notice what happens when we input the same values in both functions.

● g(1) = -1/1 = -1

● f(x) = 1/1 = 1

●g(2) = -1/2 = -0.5

● f(2) = 1/2 = 0.5

Notice that we get opposite values by imputing the same number.

Wich means:

●f(x) = -g(x)

So the graph of g(x) is the graph of f(x) reflected over the x axis.

Evaluate
1+5.3
2
please answer quickly ​

Answers

Answer:

1+5.3=6.3

Step-by-step explanation:

not sure what your asking for with the 2

explain what your looking for with the 2 and maybe we can help you further

(I have to do it the way I did it because the 2 in the question is confusing)

Answer:

For expression 1 + 5.32: 6.32

For expression 1 + 5.3 × 2: 11.6

Step-by-step explanation:

If the expression is 1 + 5.32:

Add 1 to 5.32: 1 + 5.32 = 6.32

If the expression is 1 + 5.3 × 2:

5.3 × 2 = 10.6Plug in 10.6: 1 + 10.61 + 10.6 = 11.6

A rectangle’s perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the width of the rectangle in units?

Answers

Answer:

width: 3

Step-by-step explanation:

Given a length l and a width w, we can say that the perimeter is equal to

2 * l + 2 * w. Then, we also know that the perimeter is 27 plus its width, so

2 * l + 2 * w = 27 + w

and the length is 4 times its width, so length = 4 * width = l = 4 * w

We therefore have the two equations

2 * l + 2 * w = 27 + w

l = 4 * w

What we can do is plug 4* w for l in the first equation and solve from there. We thus have

2 * ( 4 * w) + 2 * w = 27 + w

8 * w + 2 * w = 27 + w

10 * w = 27 + w

subtract w from both sides to isolate the w and its coefficient

9 * w = 27

divide both sides by 9 to isolate w

w = 3

l = 4 * w = 12

Therefore, the width is 3 and the length is 12

Please help me I need it!

Answers

Third is right answer

PLEASE HELP


2/3x =10

Show your work in details if you can, I have a hard time understanding this.

Answers

[tex]\\ \sf\longmapsto \dfrac{2}{3}x=10[/tex]

[tex]\\ \sf\longmapsto \dfrac{2x}{3}=10[/tex]

[tex]\\ \sf\longmapsto 2x=3(10)[/tex]

[tex]\\ \sf\longmapsto 2x=30[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

[tex] \begin{cases}\large\bf{\red{ \implies}} \tt \frac{2}{3} x \: = \: 10 \\ \\ \large\bf{\red{ \implies}} \tt \frac{2x}{3} \: = \: 10 \\ \\ \large\bf{\red{ \implies}} \tt 2x \: = \: 3 \: \times \: 10 \\ \\ \large\bf{\red{ \implies}} \tt 2x \: = \: 30 \\ \\ \large\bf{\red{ \implies}} \tt \: x \: = \:\frac{ \cancel{30} \: \: ^{15} }{ \cancel{2}} \\ \\ \large\bf{\red{ \implies}} \tt \: x \: = \: 15 \end{cases}[/tex]

A survey on Internet usage was conducted among a group of 200 students in the school cafeteria. It was found that 100 students spend at least two hours online every day. Which of these is an example of descriptive statistics? a.) 50% of the students in the cafeteria spend at least two hours online each day. b.) 50% of the students in the school spend at least two hours online each day. c.) 50% of the students in a class spend at least two hours online each day. d.) 50% of the students surveyed spend at least two hours online each day.

Answers

Answer:

D) 50% of the students surveyed spend at least two hours online each day.

50% of the students surveyed spend at least two hours online each day.

Hence option d is correct.

Given that,

Number of students who spend at least two hours online = 100

Total number of students surveyed = 200

To calculate the percentage of students who spend at least two hours online each day,

we can use the formula:

percentage = (number of students who spend at least two hours online / total number of students surveyed) x 100%

Plugging in the values from the problem, we get:

percentage = (100 / 200) x 100% = 50%

Therefore, we can conclude that 50% of the students surveyed spend at least two hours online each day.

Learn more about the percent visit:

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PLZ answer quick i will give brainliest if right no explanation needed Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 161616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900. Let B represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? Choose 1 answer: a: 16+8B≤50 b: 16+8B≥50 c: 16+B≤50 d: 16+B≥50 2) What is the least amount of additional money Joe can spend to get the rooms they need?

Answers

Answer:

16 + 8b ≥ 50

4500

Step-by-step explanation:

He needs at least 50 rooms and has already reserved 16

They are in groups of 8

16 + 8b ≥ 50

Subtract 16 from each side

16+8b-16 ≥ 50 -16

8b≥ 34

Divide by 6

8b/8 ≥ 34/8

b≥ 4.25

We need to round up since we need at least 50

b = 5 since we want the least amount of rooms

Each block is 900

5*900 = 4500 more that he will have to spend

Find the Vertical asymptotes of the graph of f
[tex]f(x) = \frac{x + 2}{ {x}^{2} - 4}[/tex]

Answers

Answer:

x = 2 and x = -2

Step-by-step explanation:

To find the vertical asymptotes, set the denominator equal to zero and solve for x:

vertical asymptotes are x = 2 and x = -2

I need help to fine the statement that is true

Answers

Answer:

option A

Step-by-step explanation:

wx and zy making 90 angle with each other therefore they are perpendicular.

wx and ab making 0 angle with each other therefore they are parallel

Find the cost of fencing a square plot area 11025 sq m. at the rate of rupees 85 per sq m.

Answers

Answer:

Rate per meter=85 Rs. hence , the cost of fencing the square plot at rate of 85 rs. per meter is 937125 Rs.

The charge of eletricity for the first 20 unit is Rs 80 and Rs 7 per unit from 21 unit to 30 units. If service is Rs 75 find the total charge of 28 units​

Answers

First 20 units = Rs 80

28 - 20 = 8 units

8 x 7 = Rs 35

80 + 35 = Rs 115

f(x)=2^x. show that f(x=3)=8 f(x)?

Answers

Step-by-step explanation:

[tex]f(x) = {2}^{x} [/tex]

x = 3

f(3) = 2³ = 2×2×2 = 4×2 = 8

It equals 8!!!!!!!!!!!!!!!!!!

In a geometric sequence, t4 = 8 and t7 = 216. Find the value of t2

Question 14 plz show ALL STEPS ASAP

Answers

Answer:

8/9

Step-by-step explanation:

Let the geometric series have the first term=a and common ratio=r. ATQ, ar^3=8 and ar^6=216. r^3=27. r=3. a=8/3^3=8/27. t2=ar=8/9

Anna is paid $14.75 per hour. She works a
12 hour shift, the last 4 hours being at a double
time pay rate. What is Anna's wage before
tax?
HELP

Answers

Answer:

$336

Step-by-step explanation:

$14.75(8) + $14.75(2)(4) - (8 hours of normal shift) + (double pay rate)(for 4 hours)

= $118 + $118 - Add

= $336

Using the FOIL method, find the product of x - 2 and x - 3 .

Answers

FOIL = first, outside, inside, last
(x - 2)(x - 3)
x^2 -3x - 2x + 6
x^2 - 5x + 6

Answer:

[tex] \boxed{ {x}^{2} - 5x + 6}[/tex]

Step-by-step explanation:

[tex] \mathsf{(x - 2)(x - 3)}[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

[tex] \mathsf{x×x - 3x - 2x - 2 × ( - 3 )}[/tex]

Calculate the product

[tex] \mathsf{ {x}^{2} - 3x - 2x - 2 \times (- 3)}[/tex]

Multiply the numbers

[tex] \mathsf{ {x}^{2} - 3x - 2x + 6 }[/tex]

Collect like terms

[tex] \mathsf{ {x}^{2} - 5x + 6}[/tex]

Hope I helped!

Best regards!

I suck at math, online school is really hard I need to find a tutor, can this be explained?

Answers

Answer:

its [c] if Bradley serves 4 tables he will earn an average of $25

Step-by-step explanation:

Jack is going to the fair. The fair charges $10 to enter and $0.25 per ticket. How much will be spent by Jack? t = tickets 0.25 + 10 10 + 0.25t​

Answers

hello

there is a base charge of 10 (+10)
and each ticket is multiplied by 0.25 (0.25t)

10+0.25t

hope this helped :)

Answer:

10 + .25t

Step-by-step explanation:

The total amount spent is equal to the amount to get in plus the cost of the tickets times the number of tickets

cost = 10 + .25t

There are 9 students at the math club picnic. If 3 students are drinking punch and 6 are drinking lemonade, what fraction are drinking lemonade

Answers

6/9 = 2/3
Therefore 2/3 of the students are drinking lemonade.

Solve the system of inequalities: y + 2x > 3 and y Greater-than-or-equal-to 3.5x − 5 The first inequality, y + 2x > 3, is in slope-intercept form. The first inequality, y + 2x > 3, has a boundary line. The second inequality, y Greater-than-or-equal-to 3.5x − 5, has a boundary line. Both inequalities have a solution set that is shaded their boundary lines. is a point in the solution set of the system of inequalities.

Answers

Answer:

y>-2x+3

Dashed

Solid

Above

(1, 5)

Step-by-step explanation:

Edge2020

The slope-intercept form of the first inequality is (y > - 2x + 3), the first inequality has dash boundary lines because the sign of the inequality is ">", and the second inequality has solid boundary lines because the sign of the inequality is [tex]\geq[/tex].

Given :

[tex]\rm y+2x>3[/tex][tex]\rm y \geq 3.5x -5[/tex]

The slope-intercept form of a line is given by:

y = mx + c

So, the slope-intercept form of the first inequality is:

y > - 2x + 3

The first inequality has dash boundary lines because the sign of the inequality is ">".

The second inequality has solid boundary lines because the sign of the inequality is [tex]\geq[/tex].

For more information, refer to the link given below:

https://brainly.com/question/19491153

A teapot,which has a capacity of one and half litters, can fill six identical mugs with tea.what is the capacity of the six mugs altogether?​

Answers

Answer:250

Step-by-step explanation:

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate.


What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.


30%

40%

50%

60%

Answers

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

[tex]\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}[/tex]

Formula for probability of an event E is given as:

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

For [tex]P(\text{boy as pianist})[/tex], number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, [tex]P(\text{boy as pianist})[/tex] is:

[tex]P(\text{boy as pianist}) = \dfrac{2}{5}[/tex]

For [tex]P(\text{girl as alternate})[/tex], number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

[tex]P(\text{girl as alternate}) = \dfrac{3}{4}[/tex]

So, the required probability is:

[tex]\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}[/tex]

Answer:

30% A

Step-by-step explanation:

7. Find HCF of: x'y and ly*
8. Find LCM of 4x - 20 and 6x - 30
9. Factorize Factorize: -m-+ 1 + me
10. Factorize: 4x100
11. Simplify: V18+ va 12. If a = 2, b = 3 and c= 4, fmd the value of a b c 13. Subtract: 125- 45 a--200+ 14. Simplify: ***​

PLEASE HELP ME

Answers

Answer:

7 ans-HCF is y

Step-by-step explanation:

soln

first expression=X and y

second expression=l and y

so HCF means common so the Ans is y

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