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morpeh [17]
2 years ago
13

Emily drew a scale drawing of a house and its lot. The back patio is 42 millimeters long in the drawing. The actual patio is 27

meters long. What scale did Emily use?
Mathematics
1 answer:
kirill [66]2 years ago
5 0

the scale factor used in Emily scale drawing is K = 1.63 mm/m

<h3>What scale did Emily use?</h3>

We know that Emily drew a scale drawing of a house and its lot.

In the scale drawing, the back patio is 42 millimeters long, and we know that the actual patio is 27 meters long.

Then the scale relates the measures 44mm and 27 meters, such that if the scale is K, we can write:

K*27m = 44mm

Solving for K, we can write:

K = (44/27) mm/m = 1.63 mm/m

So the scale factor used in Emily's scale drawing is K = 1.63 mm/m

If you want to learn more about scale factors:

brainly.com/question/25722260

#SPJ1

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There are 30 biscuits in a tin. 8 of the biscuits are iced, of which 6 contain
amid [387]

The probability that a biscuit picked at random contains chocolate

chips. = 1/5 , The Venn Diagram is attached with the answer.

<h3>What is Probability ?</h3>

Probability is defined as the study of likeliness of an event to happen.

It is given that

There are 30 biscuits in a tin

8 of the biscuits are iced, of which 6 contain chocolate chips

4 biscuits are neither iced nor contain chocolate chips.

the probability that a biscuit picked at random contains chocolate

chips.

There are total 6 biscuits which have chocolate chips

The probability that a biscuit picked at random contains chocolate

chips. = 6/8 *8/30 = 6/30 = 1/5

The probability that a biscuit picked at random contains chocolate

chips. = 1/5

The Venn Diagram is attached with the answer.

To know more about Probability

brainly.com/question/11234923

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5 0
2 years ago
Graph a line that contains the point (4, 3) and has a slope of 1/2
Lapatulllka [165]

Answer:

y=1/2x+1

Step-by-step explanation:

one dot on the 1 on the y axis

then more one unit up and two units to the left

and then from the first point (0,1) go one unit down

and two to the right. then make the line with the three points

3 0
3 years ago
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
anyanavicka [17]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f( - 4) = 4( - 4) + 9 =  - 7

_________________________________

f( - 2) = 4( - 2) + 9 = 1

_________________________________

f(0) = 4(0) + 9 = 9

_________________________________

f(2) = 4(2) + 9 = 17

_________________________________

Thus ;

R = { - 7 , 1 , 9 , 17 }

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3 0
2 years ago
Write an equation of the line that passes through the given points.<br> (-1,7) and (4, -8)
djverab [1.8K]

Answer:

y=-3x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-8-7)/(4-(-1))

m=-15/(4+1)

m=-15/5

m=-3

y-y1=m(x-x1)

y-7=-3(x-(-1))

y-7=-3(x+1)

y=-3x-3+7

y=-3x+4

3 0
3 years ago
A solution of salt and water is 20% salt. If 25% of the water is removed, what is the percentage of salt in the new solution?
Ratling [72]
So lets say that this salt and water solution consists of 100 liters.

Then that means 20 liters is salt, and 80 liters out of the 100 is water.



Now, we remove 25% of the water. 25% of 80 liters is 20 liters. So, we are left with 80-20, or 60 liters.



Now in all we have 20 liters of salt, and 60 liters of water.

The percentage of salt in the new mixture will be 20/(20+60) = 20/80 = 25%.



Your answer is 25%
4 0
3 years ago
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