On a scale drawing of a table, the length is 12 units and the width is 8 units. Each unit on the grid represents 15 cm. Xavier says that if he draws another scale drawing of the table with a scale of 20 cm for each unit, it will be larger than the original drawing because 20 > 15. Explain why Xavier is incorrect with a drawing.

Answers

Answer 1

The scaled drawing of a shape is a drawing in proportion to the original drawing. Xavier is not incorrect with his conclusion.

Given that:

[tex]k = 20cm[/tex] ---- the new scale

[tex]Length = 12\ units[/tex]

[tex]Width = 8\ units[/tex]

The dimension of the table on the new scale is:

[tex]Length = 20cm \times 12[/tex]

[tex]Length = 240cm[/tex]

[tex]Width = 20cm \times 8[/tex]

[tex]Width = 160cm[/tex]

On the original scale, the table dimension is:

[tex]Length = 15cm \times 12 = 180cm[/tex]

[tex]Width = 15cm \times 8 = 120cm[/tex]

By comparing both dimensions, we can conclude that Xavier is not incorrect with his conclusion.

See attachment for the new table

Related Questions

mark is going to work for his father’s pool cleaning business during the summer. mark’s father will pay him $5 each pool he helps clean. write an algebraic expression to determine how much mark will earn if he cleans n pools. then evaluate the expression for 15, 25, 35, or 45 pools

Answers

Answer:

Algebraic Expression: 5n

a. 5(15) = 75$

b. 5(25) = 125$

c. 5(35) = 175$

d. 5(45) = 225$

Step-by-step explanation:

If n represents the amount of pools Mark has cleaned, and he earns $5 for each pool, then 5n will be the algebraic expression. As n represents the number of pools he has cleaned, we need to plug in the given numbers to get the answer, hence [5(15), 5(25), 5(35), 5(45)]. Multiply $5 by the given numbers to get the amount of money Mark would earn if he cleaned the amount of pools.

You have a box of tiles, each of which measures 6 by 10 inches. What is the least number of tiles you could use to form a square region? (Use this square to show how they would be arranged.) The prime factorizations of five numbers are given. Use them to find each of A and В

Answers

The least common multiple can be used to find the smallest square formed by equal sized shapes

The least number of tiles to be used is 15 tiles

The arrangement of the tiles, with the 6 inch side as base is 3 rows by 6 columns of tiles

The reason the above responses are correct is as follows:

The unit area of each square tile = 6 inches by 10 inches

Therefore, the area of the square obtained is a factor of 6 × 10 = 60 in.²

The side of the square have 6 and 10 as factors

The lowest common multiple of 6 and 10 is 30

Therefore, the smallest square has a side length of 30 inches and an area of 30 in. × 30 in. = 900 in.²

The least number of tiles = Area/(The area of each tile)

Therefore, the least number of tiles = 900 in.²/(60 in.²/tile) = 15 tiles

The least number of tiles = 15 tiles

The arrangement of the 15 tiles are as follows;

With the 6 inch width side as the base, five tiles are arranged along the base, three more rows are constructed using the same process to form the 30 inch by 30 inch square to give 3 rows by 6 columns of tiles

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for f(x) = 2x+1 and g(x)=x*2-7
find (f/g) (x).

Answers

(f/g)(x) = f(x)/g(x)
So the answer is C
I hope it will help

The perimeter of the triangle shown to the right is 143 meters. Find the length of each side.
Previa

Answers

Hello!

First:

write an equation.

5x + (7x+8) + (7x+2) = 143

now combine like terms

19x + 10 =143

now subtract 10 from both sides

19x = 133

divide 19 on both sides.

x = 7.

Are you done here? Nope, we need to find out what each side is, so lets plug in the number 7 for x.

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

For the side 5(x)

5(7) = 35

This side is 35m

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

For the side 7x + 2

7(7) + 2

49 + 2

This side is 51m

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

For the side 7x + 8

7(7) + 8

49 + 8

This side is 57m.

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

I hope this helps,

Have a great day!

write 3.777777777 as a mixed number

Answers

The answer is 3 7/10

The above answer is wrong, it would be 3 and 7/9 because it is a repeating decimal.

PLS HELP ME GIVING BRAINLIEST AND POINTS

Answers

Answer:

-4(-4,2)

(16,-8)

option C is correct

Answer:

<16,-8>

Step-by-step explanation:

-4/9 ( 18/2 v)

First multiply

-4v

-4 < -4,2>

<16,-8>

Pls help it's due today.

Answers

The answer is the second choice: 24 gallons of gasoline

Answer:

Step-by-step explanation:

Each gallon goes for 20 miles. We can find that by dividing 120 by 6, or 300 by 15, or 360 by 18. Since we need to find how many gallons go for 480, divide 480 by 20=24

Is the function y =|x – 3| a one-to-one function? Justify your answer.

Answers

A one-to-one function must pass both the vertical and horizontal line tests.
The vertical line test shows it’s a function.
The horizontal line test shows it’s one-to-one.

If you look at the graph of this function (the red graph is the function, the green line is the horizontal line test):
it passes the vertical line test (so it’s a function), but it does not pass the horizontal line test.
Therefore it is not one-to-one

What is the point on the graph of f(x+5)

Answers

Answer:

=fx+5f

Step-by-step explanation:

=fx+5f

24 - 3y = -3 I just need then answer for this question

Answers

Answer:

y=7

Step-by-step explanation:

Answer:

y=9

hope this will help u

What is 11/7 simplified

Answers

Answer:

1.571429

Step-by-step explanation:

1.571429

this is the ans ig

how many people in the town of Summit have jobs if there are 6,453 people in town and 1/3 of them are employed?

Answers

Answer:

[tex]x = \frac{1}{3} \times 6453 = 2151[/tex]

solve square root equation.

2x^2-25=73

Answers

Hope this helps! Please mark me brainiest if possible

Answer:

[tex]2 {x}^{2} - 25 = 73 \\ 2 {x}^{2} = 73 + 25 \\ 2 {x}^{2} = 98 \\ {x}^{2} = 98 \div 2 = 49 \\ {x}^{2} = 49 \\ x = \sqrt{49} = 7 \\ x = 7 \\ thank \: you[/tex]

If the radius of a circle is 6 centimeters, what is its area?

Answers

Answer:

113

Step-by-step explanation:

p x r^2 =

pie x 6^2 = 113.097…

Answer:

113.04

Step-by-step explanation:

The area (or A) is equal to π times the square of the radius (or R) of the circle.

A=π(r)^2

Determine the bi-monthly periodic interest rate on an account with an 18.99% APR.

a
0.52389%

b
0.6129%

c
0.79125%

d
1.5825%

Answers

Bi- monthly is 2 times per month.

2 x 12 months = 24

18.99 % / 24 = 0.79125%

Answer: c. 0.79125%

How to write -3.1 as a mixed number

Answers

-1 3/4 is the mixed number for -3.1

Which of the following best describes the algebraic expression 5(x + 2) - 3 ?
A. Five times a number plus two minus three.
B. Three less than five times a number plus two.
C. Three less than five times the quantity of a number plus two.
D. Five times the quantity of a number plus two less than three.

Answers

Answer:

Step-by-step explanation:

brackets first according to bodmas

Answer:

Step-by-step explanation:

It is not A, that implies that there is no parenthesis needed. Same goes for D.

It is not B, (5x +2)-3

"Three less than" implies that 3 will be subtracted in the end of the equation.

B and C may get mixed up: C includes the phrase "the quantity" which implies the number (x) and two are added before being multiplied by 5.

60 golf balls were inspected and 48 of them passed inspection. 2500 balls made how many would you would fail inspection

Answers

Answer:

2000

Step-by-step explanation:

Now for question, first find the percentage of balls that passed inspection

How to find percentage?

whatever

- - - - - - - - - - - - - - - - - - - x 100

The total of that whatever

Therefore in this case, your whatever is the golf balls

----------- x 100

= 80%

Now since now u know, 80percent of the golf balls will pass inpection

Now u have 2500, how many will pass? So just

2500 x 80%

= 2000

2. (01.07)
Simplify the given expression below:
(4 + 2) - (1 - 71)

Answers

(4+2)-(1-71)
6- -70
6+70
76

Use the count on strategy to find 402 + 39

Answers

Answer:

402 + 39 = 441

Step-by-step explanation:

Counting on means that you start with the biggest number and then count up from there. -hopefully this helped.

The solution is 441

The value of the equation A = 402 + 39 is A = 441

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be x = 402

Let the second number be y = 39

The equation A = first number + second number

Substituting the values in the equation , we get

A = 402 + 39

On simplifying the equation , we get

A = 441

Therefore , the value of A is 441

Hence , the value of the equation is 441

To learn more about equations click :

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2+ai=6-2i/b+1 solve for a and b

Answers

Step-by-step explanation:

I hope it will help you so .

-9x+2=11
Please help I'm stuck

Answers

-9x=11-2
-9x=9(divide both sides by -9)
x=-1

Answer:

-9x= 11-2

-9x= 9

×= 9+9

×= 18

Factors can be defined as ________ which divide the dividend without leaving any reminder

Answers

Answer:

Factors can be defined as a number or algebraic expression which divide the dividend without leaving any reminder.

Find the GCF of
36 and 60

Answers

Answer:

Step-by-step explanation:

prime factorization helps on this problem

Given these angles: m∠1 = 53°, m∠2 = 27°.
These angles are
a. complementary
b. supplementary
c. neither complementary nor supplementary

Answers

Answer:

Complementary

Step-by-step explanation:

Because complementary angles sum up to ninety.

plz give me brainliest.

[tex]angle \: 53 + 27 = 90 \: degree[/tex]

These angles are
C- Neither complementary nor supplementary

Complementary angles = add up to 90 degrees
Supplementary angles add up to 180 degrees

However 53 + 27 = 80 degrees

Point A has coordinates (-6, -2), and point B has coordinates (-4,6). What is the slope of a line segment connecting the two?

Answers

Answer:

6-(-2)/(-4+6) 8/2=4

Step-by-step explanation:

Y2-y1/x2-x1

The slope of the given line is m = 4.

Given,

Point A has coordinates (-6, -2).

Point B has coordinates (-4,6).

We need to find what is the slope of a line segment connecting the two.

What is the slope of a line between two points?

If the two points are (x_1, y_1) and (x_2, y_2).

Then the slope is given by:

m = (y_2 - y_1) / (x_2 - x_1)

Find the slope.

Let,

(-6, -2) = (x_1, y_1)

(-4, 6) = (x_2, y_2)

m = (y_2 - y_1) / (x_2 - x_1)

m = (6 - (-2)) / (-4 - (-6))

m = (6 + 2) / (-4 + 6)

m = 8 / 2

m = 4

Thus the slope of the given line is m = 4.

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I can't figure this out, would appreciate help.

Answers

[tex]\huge\mathsf\blue{Answer}:-[/tex]

hey mate,

Option c is correct , because

[tex] \sqrt{2} + \sqrt{2} = \sqrt{4} \\ \sqrt{2 \times 2} = 2[/tex]

2 is rational number

plz mark me as brainliest

Answer:

Step-by-step explanation:

If the given rational number is 2 , we add 8:

2 + 8 = 10

10 is rational.

Paula is writing a number in scientific notation. The number is greater than ten million and less than one hundred million. Which
exponent will Paula use?
Help ASAP

Answers

9514 1404 393

Answer:

Step-by-step explanation:

A number with its most significant digit in the ten-millions place will have 7 as the exponent of 10 when it is written in scientific notation.

Prove or disprove: Let V be a vector space and let + denote vector addition. Then (V.+) is a group Hint: Review the axiomatic definition of a vector space.

Answers

Answer:

question specifications please!!!

Alice rented bowling shoes for $3.25 and played five games at $2 each write and evaluate an expression for the total cost of bowling?

Write numerical or algebraic expression

Answers

Answer:

The total cost is $13.25

Step-by-step explanation:

x = 3.25 + 5(2)

x = 13.25

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