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2 years ago

Is the equation linear and if it is linear is it proportional? y=x +31

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

7 0

Answer:

yes, its linear and proportional .

Step-by-step explanation:

In mathematics, two varying quantities are said to be in a relation of proportionality, if they are multiplicatively connected to a constant, that is, when either their ratio or their product yields a constant. The value of this constant is called the coefficient of proportionality or proportionality constant.

you just have to graph it .

hope i helped :) !!! brainliest ??

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In how many ways can six people sit in a six-passenger car?

nekit [7.7K]

Answer:

number of ways = 720

Step-by-step explanation:

The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then

number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720

Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.

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3 years ago

Maggie created this scale drawing of a soccer field, using a scale factor of 1 inch : 12 yards. She wants to make another scale

larisa [96]

The length and width of the new scale drawing is 36 inches and 24 inches respectively.

The given parameters:

Original scale of the soccer field, 1 inch : 12 yards

The original length and width of the soccer field is calculated as follows;

1 inch : 12 yards

original width = 6 x 12 yards = 72 yards
original length = 9 x 12 = 108 yards

For the new scale of 1 inch : 3 yards, the new length and width are represented as;

the new width:

$\frac{1 \ inch}{x} = \frac{3 \ yards}{72 \ yards} \\\\x = 24 \ inches$

the new length:

$\frac{1 \ inch}{x} = \frac{3 \ yards}{108 \ yards} \\\\x = 36\ inches$

Thus, the length and width of the new scale drawing is 36 inches and 24 inches respectively.

Learn more about scale drawing here:

7 0

2 years ago

Angel has finished 75% of an art project that has taken

oksano4ka [1.4K]

Answer: 12 hours

Step-by-step explanation: For this problem we will write a percent equation to solve for 100% and how many total hours it will take angel to finish the entire project.

Lets write a equation to solve for w, total amount of hours.

9/w = 75/100

9/w x w = 75/100 x w

9 = 75w/100

9 x 100/75 = 75w/100 x 100/75

w = 12

So, it will take Angel 12 hours to finish his entire project.

7 0

3 years ago

If a dart were thrown randomly at the dart board shown below, what is the

klemol [59]

Answer: A. 31%

Step-by-step explanation:

First you need to find the area within each circle. This can be found by using the formula: pi * r^2

The area of the circle with radius 8mm is 64 * pi. The area of the circle with radius 14mm is 196 * pi.

196 * pi = 615.75216

64 * pi = 201.06193

Now divide the larger area by the smaller area to get how many times larger the large area is than the small area.

615.75216 / 201.06913 = 3.06239

3.06239 rounds up to 3.1

Now we know the radius of 14mm has an area 3.1 times the area of 8mm. The area of an 8mm radius has 31% of the area of a 14mm radius.

5 0

3 years ago

PQ is parallel to RS. PR and QS are perpendicular to PQ and RS.

galina1969 [7]

When two lines are parallel, the perpendicular distance between them is the same all through the way and the angles formed between the parallel lines and the perpendicular ones joining them is equal to 90 degree.
Example of this is the square or the rectangle as shown below:
AB || BC and both AD and BC are perpendicular on the two lines.
Accordingly, the two perpendicular lines are equal
Based on this, the ratio of PR and QS is 1:1

7 0

3 years ago

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