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2 years ago

Alfie sells flooring for playgrounds.

Mathematics

1 answer:

dexar [7]2 years ago

6 0

area of playground= 9×15= 135m^2

area of lawn= 3×4=12m^2

total flooring area= 135-12= 123m^2

cost=36×123=$4428

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What is the slope of this line graphed below?

egoroff_w [7]

Answer:

The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Step-by-step explanation:

make sure you mark me as briliest

5 0

2 years ago

Read 2 more answers

A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 10 of th

Digiron [165]

Answer:

f(x) = -5x + 250

Step-by-step explanation:

* Lets explain how to solve the problem

- In week 10 the manufacturer fixed 200 cars

- In week 15, the manufacturer fixed 175 cars

- the reduction in the number of cars each week is linear

- The form of the linear equation is y = mx + c, where m is the slope of

the line which represent the equation and c is the y-intercept

- The slope of the line m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where (x1 , y1) and (x2 , y2) are two points on the line

* Lets solve the problem

- Assume that the weeks' number is x and the cars' number is y

∴ (10 , 200) and (15 , 175) are two points on the line which represent

the linear equation between the cars' numbers and the weeks

numbers

∵ Point (x1 , y1) is (10 , 200) and point (x2 , y2) is (15 , 175)

∴ x1 = 10 , x2 = 15 and y1 = 200 and y2 = 175

- Use the rule of the slope above to find m

∴ $m=\frac{175-200}{15-10}=\frac{-25}{5}=-5$

- Substitute the value of x in the form of the linear equation above

∴ y = -5x + c

- To find c substitute x and y by one the coordinates of one of the

two points

∵ x = 10 when y = 200

∴ 200 = -5(10) + c

∴ 200 = -50 + c

- Add 50 to both sides

∴ 250 = c

- Substitute the value of c by 250

∴ y = -5x + 250, where the number of cars seen each week is y and

x is the number of the week

∵ f(x) = y

∴ f(x) = -5x + 250

7 0

2 years ago

Read 2 more answers

The percent of licensed U.S. drivers (from a recent year) that are female is 48.60. Of the females, 5.03% are age 19 and under;

docker41 [41]

Answer:

a) 51.4

b) answer attached

c) 48.59% female

Step-by-step explanation:

a) Male driver = 100-48.6 = 51.4%

b) answer attached below

c) probability that out of 20-64 group a randomly selected sample is female

( 39.54 ÷ 81.36 ) x 100

= 48.59% chance of her being a female

Download docx

6 0

2 years ago

Sylvester and Lin go to the amusement park. Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cages for $60

leva [86]

Answer:

Step-by-step explanation

let's use g for golf and b for batting cages

So let's start with Sylvester

he plays 5 rounds of mini golf so 5g

and he takes 4 turns in the batting cages so 4b

and he pays 60 dollars for this

SO his equation is 5g+4b=60

Now onto Lin

3g for 3 rounds of golf

6b for 6 turns in the batting cages

He pays 45 dollars

SO his equation is 3g+6b=45

Both equations:

5g+4b=60

3g+6b=45

Now you need to cancel out one variable so you can multiply the first equation by 3 and the second one by -5

15g+12b=120

-15g-30b=-225

Now the g will cancel out when you add both equations

-18b=-105

b=105/18 which is about 5.83 dollars

Now plug in 105/18 into any of the original equations and solve for g

4 0

2 years ago

Diana drove at an average speed of 50 miles an hour for 1.5 hours.she then drove at an average speed of 42 miles an hour for 2.2

weqwewe [10]

Diana drove 169.5 miles in total.

Step-by-step explanation:

Average speed first = 50 miles

Driving time = 1.5 hours

Distance = Speed*Time

$Distance=50*1.5\\Distance=75\ miles$

Average speed afterwards = 42 miles

Driving time = 2.25 hours

Distance=Speed*Time

$Distance=42*2.25\\Distance=94.5\ miles$

Total distance = 75+94.5

Total distance = 169.5 miles

Diana drove 169.5 miles in total.

Keywords: distance, speed

Learn more about speed at:

#LearnwithBrainly

4 0

2 years ago