Mathematics High School

Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes. Scale 1: 1 centimeter = 5 feet. Scale 2: 1 centimeter = 8 feet. A rectangle with length 7 centimeters and width 5 centimeters. Which shows the correct dimensions of the rectangle in both scales? Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft

Answers

Answer 1

Answer:

Scale 1: 35ft by 25ft

Scale 2: 56ft by 40ft

Step-by-step explanation:

Given

Rectangle: 7cm by 5cm

Scale 1: 1cm = 5ft

Scale 2: 1cm = 8ft

Required

Determine the scale measurement

For Scale 1:

Actual Measurement

[tex]Length = 7cm[/tex]

[tex]Width = 5cm[/tex]

Scale 1: 1cm = 5ft

To calculate the scale measurement, we have to multiply the actual measurements by 5:

This gives:

[tex]Length = 7 * 5ft[/tex]

[tex]Length = 35ft[/tex]

[tex]Width = 5 * 5ft[/tex]

[tex]Width = 25ft[/tex]

So, the new measurement is 35ft by 25ft

For Scale 2:

Actual Measurement

[tex]Length = 7cm\\Width = 5cm[/tex]

Scale 2: 1cm = 8ft

To calculate the scale measurement, we have to multiply the actual measurements by 8:

Scale Measurement:

[tex]Length = 7 * 8ft[/tex]

[tex]Length = 56ft[/tex]

[tex]Width = 5 * 8ft[/tex]

[tex]Width = 40ft[/tex]

So, the new measurement is 56ft by 40ft

Answer 2

Answer:

c). Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft

Step-by-step explanation:

Related Questions

julie is having a nail salon day.She needs to spend $5 for nail polish, $3 for nail polish remover, and $2 for cotton balls.if she does 5 of her friends' nails for $10 each, what will her profit be?

Answers

Answer:

Her profit will be $40

Step-by-step explanation:

Answer:

Her profit would be $50

Step-by-step explanation:

The nail polish is $5, Remover is $3, Cotton balls are $2, That all adds up to ten.

And She has 5 of her friends so Ur multiplying 10 by 5

$10 times 5 equals to $50

This graph shows the solution to which inequality???

Answers

Answer:

B. y > (4/3)x - 2

Step-by-step explanation:

The dotted line means that the answer WILL NOT include the line itself, just the space above it. Since the shaded area is above the line, it must be greater than the line.

HELP ASAP
Solve the equation for k:
p= k/K + t

Answers

Answer:

k = p(K+t)

Step-by-step explanation:

p = k/K+t // × (K+t)

p(K+t) = k

Answer:

k = K p - K t

Step-by-step explanation:

Solve for k:

p = k/K + t

p = k/K + t is equivalent to k/K + t = p:

k/K + t = p

Subtract t from both sides:

k/K = -t + p

196 i think ??? That shoudl be it

$30 for 2 1/2 hours of work

Answers

Answer:

$75

Step-by-step explanation:

30*2.5 = 75

18. The price of a pair of shoes was $65. Then, the price was reduced to $52..
Find the percent decrease in the price of the shoes.
(a) 30%
(b) 13% (c) 5%
(d) 25%
(e) none of these
Please show the work

Answers

Answer:

13.

Step-by-step explanation:

65-52=13

13%
65- 52=13 is your answer

You started the day with a certain amount of money. You lost half of it. Then you lost an additional $100. Afterwards, you were given $5. Then you found $30. Afterwards, you lost half of your money again. You then lost another $8. You then gave away $7. You ended the day with $30. How much did you start with?

Answers

Answer:

$310

Step-by-step explanation:

starting backwards:

30+7=3737+8=4545*2=9090-30=6060-5=5555+100=155155*2=310Answer is $310

Answer:

$310

Step-by-step explanation:

Libby bought three shirts that cost $6.79, $11.08, and $8.95. How much did all three shirts cost

Answers

6.79+11.08+8.95=26.82

Answer:

$26.82

Step-by-step explanation:

It's just simple addition really. You start with adding 6.79 and 11.08 to get 17.87 and then add 8.95 to 17.87 to get 26.82. Hope this helps.

LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?

Answers

Answer:

[tex]LN = 55[/tex]

Step-by-step explanation:

Given

[tex]LN = 12w + 7[/tex]

[tex]LP = 15w - 5[/tex]

Required

Determine LN

Since LM is a bisector, then we have:

[tex]LP = LN[/tex] (See attachment for illustration)

[tex]15w - 5 = 12w + 7[/tex]

Collect Like Terms

[tex]15w - 12w = 5 +7[/tex]

[tex]3w = 12[/tex]

Solve for w

[tex]w = 12/3[/tex]

[tex]w = 4[/tex]

LN is calculated as thus:

[tex]LN = 12w + 7[/tex]

Substitute 4 for w

[tex]LN = 12 * 4 + 7[/tex]

[tex]LN = 48 + 7[/tex]

[tex]LN = 55[/tex]

Which graph shows the solution to the inequality −2(2x+3)≤26?
pls help

Answers

Answer:

the answer is c

Step-by-step explanation:

Help me please with this question ???

Answers

Answer:

D. 1

Step-by-step explanation:

If you take any two points (x, y), the slope is found by taking the difference of the y-coordinates and dividing that by the difference of the x-coordinates.

Here, we actually are given 4 points of the form (x, y), so we can just arbitrarily choose any two. I'll just go with the first two: (-2, 0) and (1, 3).

The difference of the y-coordinates is:

3 - 0 = 3

The difference of the x-coordinates is:

1 - (-2) = 3

Dividing these gives:

3/3 = 1

The slope is thus 1, and the answer is D.

~ an aesthetics lover

The number of fish in a lake triples every 5 years. is It linear or exponential

Answers

Answer:

This would be linear.

Step-by-step explanation:

Linear would be multiplying by a number.

Exponential would be multiplying to a power.

i mark as brainliest

Answers

Answer:

-6.75

Step-by-step explanation:

Answer:

The answer is D. -7.25

Who can guess what time it is for me

Answers

I’ll try it don’t know if I will get it right

Answer:

6:29

Step-by-step explanation:

Can someone answer this for me?

Answers

Answer:

D 26

Step-by-step explanation:

154+154=308

308-360=52

52 divided by 2

=26

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

I'm not sure if my way of doing it is the way your teacher wants it solved but I would do...

[tex]150+150+x=360[/tex]

so now we just have to solve the equation...

[tex]308+x=360\\x=52[/tex]

ok and now before you judge me that still isn't the answer we still have to divide the 52 by 2 because 52 is the sum of both the smaller angles, so you'll get...26°

choice D

The equation y=1/9x relates proportional quantities x and y.

What is the value of x when y is 4?

Answers

Answer:

x=36 when y=4

Step-by-step explanation:

When y=4, you have to multiply 1/9x by 9 to make x whole and to truly figure out how much it is worth. So if 1/9x =4, you need to multiply 4x9

4x9=36

x=36

PLEASE HELP THERE ARE TWO PARTS!!

The graph shows the relationship between the United States dollar and
the euro, the currency of the European Union, in December 2011. Part A:
What is the constant of proportionality shown in the graph? *
Exchange Rate (December 6, 2011)
VA
(400, 300)
300
Number of euros
200
(250, 187.50)
100
(120,90)
100 200 300
400
Number of US dollars
I

Answers

Answer:

The constant of proportionality of the graph is 0.75

Step-by-step explanation:

The coordinates of the points on the lines are;

(400, 300), (250, 187.5), and (120, 90)

Which can be written in a tabular form as follows;

Number of US dollars [tex]{}[/tex] Number of euros

120 [tex]{}[/tex] 90

250 [tex]{}[/tex] 187.5

400 [tex]{}[/tex] 300

Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c

Where;

c = The y-intercept (where the graph meets the y-axis) = 0

m = The slope = The constant of proportionality

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]

We have, y = m·x = 0.75·x.

Therefore, the constant of proportionality of the graph = 0.75.

What are two different ways of saying "find the
solution"?

Answers

Answer:

find the difference. find the sum

Step-by-step explanation:

A rain gauge is accurate within 0.5 mm of the true rain height. One Sunday
afternoon, it reads a height of 60mm. Formulate an absolute value equation, where
r is the true rain height, that can help you figure out the least rain height possible
and the greatest rain height possible.

Answers

Answer: 59.5 ≤ r ≤ 60.5

Step-by-step explanation:

Given that :

Accuracy range = ±0.5 of true value

True height of rain (r) = 60mm

Absolute value equation to find the least and greatest height if rain possible ;

|r| = 0.5

To remove the absolute value sign ;

|r| ± 0.5

r = 60mm

60 - 0.5 ≤ r ≤ 60 + 0.5

59.5mm ≤ r ≤ 60.5mm

Hence,

Greatest height possible = 60.5mm

Least height possible = 59.5 mm

PLEASE HELPPP please

Answers

Answer: -30x⁵y⁷

Step-by-step explanation:

When multiplying exponents, you add them.

Distribute the -5x³ and y² to the terms inside of the parentheses to simplify:

-30x⁵y⁷

Hope this helps!

when multiplying variables that are the same but have different exponents, just add the exponents together (ex: x^2*x^5 = x^7)

now that we know that, just multiply everything by it’s like term - coefficient by coefficient, variable by variable

so: (-5*6)(x^3*x^2)(y^5*y^2) = (-30)(x^5)(y^7)

now just combine them: -30x^5y^7

Which describes the reflection of the figure?
A) reflection over the x-axis
B) reflection over the y-axis
C) reflection over the line y=3
D) reflection over the line y=-3

Answers

Answer:

reflection over the x axis

Step-by-step explanation:

always remember reflection over x-axis values of y will change reflection over y axis the values of x will change

Which part of the figure shows evidence of the use of a compass?

Answers

Answer:

Whichever line is curved like a semi-circle, arch, or a full circle.

Step-by-step explanation:

A compass is a tool used to draw curved lines.

For every 8ft of cord he can make 3 chains how much does jairon need to
make 12 chains

Answers

Answer:

24 ft of cord

Step-by-step explanation:

8ft = 3 chains

16 ft = 6 chains

24 ft = 12 chains

8 x 3 =24

Answers

Answer:

the first rectangle im pretty sure is 32

the second one is 12.8

Step-by-step explanation:

half of 8 is 4 and half of 25.6 is 12.8

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