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masha68 [24]
3 years ago
15

Write an equation in slope-intercept form that represents the situation:

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

<h2>          y = 3.5x + 15</h2>

Step-by-step explanation:

Number of months is x, and number of pairs of shoes after each month is y.

7 new pairs of shoes every 2 months means that after each month:

y = 7/2 x

We need to add the 15 pairs from start.

y = 3.5x + 15

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A snow plough has a 3.2m blade set at an angle of 30 degrees How wide a path will the snow plough clear
snow_tiger [21]

Answer:

1.6m

Step-by-step explanation:

The length of the blade is 3.2m

The angle which the blade makes is 30°

Assuming the path of the blade and the length it covers is a right-angled triangle,

The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.

See attached document for better illustration.

Using SOHCAHTOA,

Sinθ = opposite / hypothenus

opposite = x

hypothenus = 3.2

θ = 30°

Sin30 = x / 3.2

X = 3.2sin30

X = 3.2 × 0.5

X = 1.6m

The path which the snow plough clears is 1.6m

6 0
3 years ago
Y=x-5; domain = {4,6,8}
Lostsunrise [7]

Answer:

Range = {-1, 1, 3}

Step-by-step explanation:

<u><em>The question asks for the range.</em></u>

The function given is

y=x-5

The domain is the set of 3 numbers:

Domain = {4,6,8}

We need to find the range.

First, the range is the set of all y-values for which the function is defined.

When we will be given the domain with a set of numbers, the range would be the numbers that we get when we evaluate the the function at those numbers.

So, we evaluate the function (y-values) at x = 4,6, and 8.

At x = 4:

y=x-5\\y=4-5\\y=-1

At x = 6:

y=x-5\\y=6-5\\y=1

At x = 8:

y=x-5\\y=8-5\\y=3

Thus, the range is:

Range = {-1, 1, 3}

7 0
3 years ago
A car and a bus set out at 2 p.M. From the same point, headed in the same direction. The speed of the car is 30mph slower than t
Blizzard [7]

Answer:

Car = 10 miles/hour

Bus = 20 miles/hour

Step-by-step explanation:

Here,

Let, the value of the speed of the bus = X

the value of the speed of the car = 2X - 30 (As the speed of the car is 30mph slower than twice)

According to the question,

2X - 20 = 2*(2x-30)

or, 2X - 20 = 4X-60

or, 2X = 40

x = 20

Therefore, the speed of the bus, x = 20 miles/hour

So, the speed of the car is (2*20-30) mph = (40 - 30) mph = 10 miles/hour.

6 0
3 years ago
Question 11<br><br> (-10) + (10) = ??<br> A)20<br> B)-20<br> C)-0<br> D)0
Nastasia [14]

Answer:

0

Step-by-step explanation:

-10 + 10

-10 and 10 are additive inverses, so when we add them, it is equal to zero

-10 + 10 = 0

6 0
3 years ago
in how many ways of the permutations of 10 different things taken 4 at a time will one particular thing always occur​
olganol [36]

Answer:

do as direct

which one of the following is square of 4

2

8

16

64

4 0
3 years ago
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