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2 years ago

Solve 1.25x + 1.50y = 28.25.

Mathematics

1 answer:

fiasKO [112]2 years ago

4 0

To find the x-intercept, substitute in

for

and solve for

. To find the y-intercept, substitute in

for

and solve for

x-intercept(s):

(

22.6

)

(

22.6

)

y-intercept(s):

(

18.8

)

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Paul needs to buy paint to cover all outside surfaces of his shed, depicted below. How much area, in square yards, does he need

Alekssandra [29.7K]

Answer:

Area = 145.7 Square yards

Step-by-step explanation:

Since there is no picture attached to depict the house and its dimension, I am taking values of a similar problem.

Dimensions of Shed

2 walls with dimensions of 15 ½ ft. by 12 ft.

2 walls with dimensions of 25 ¼ ft. by 12 ft.

Ceiling with dimensions of 15 ½ ft. by 25 ¼ ft.

2 windows that are each 2 ft. by 4½ ft. as well as an 8-ft. by 5-ft. door

Solution

We need to find the total wall area and ceiling area which when combined will give us the total area shed's outer surface that needs to be painted.

For total area of the wall, we need to first find the sum of area for each wall and subtract area of windows and door

Wall Area = Area of 1st two walls+Area of other two walls-Area of 2 windows-Area of door=[15.5(12)(2)] + (25.25) (12) (2) - (2)(2) (4.5) -(8)(5)

Wall Area = 371 + 606 - 17 - 40

Wall Area = 920 square ft = 102.2 square yards

Ceiling Area is just the area of the ceiling

Ceiling Area = (15.5) (25.25 )

Ceiling Area = 391.375 square ft= 43.486 square yard

Total Area = Wall Area+Ceiling Area =102.2+43.486=145.7 Square yards

Which is the area paul needs to cover with paint.

Note: Converted Square foot to square yard as the problem requires that.

8 0

3 years ago

Area of a triangle with verticals of (-4,1),(-7,5),(0,1)

Lynna [10]

Answer:

$8 ft^2$

Step-by-step explanation:

I assume that the three points given are the vertices of the triangle. So the three points are:

A (-4,1)

B (-7,5)

C (0,1)

The area of a triangle is given by:

$A=\frac{1}{2}bh$

where b is the base and h is the height.

Here we can take as follows:

- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

$AC=\sqrt{(0-(-4))^2+(1-1)^2}=4$

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

$h=(5-1)=4 ft$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(4)(4)=8 ft^2$

7 0

3 years ago

tanya purchased 4 hamners for $11.00 each and 7 scewdrivers for $6.65 each write an expresion for the total cost of the tools.th

rewona [7]

X=numbers of hammers
y=numbers of scewdrivers
f(x,y)= total cost in $

f(x,y)=11x+6.65y

f(4,7)=4(11)+6.65(7)=44+46.55=90.55

Sol: an expresion for the total cost of the tools is f(x,y)=11x+6.65 y;
x=number of hammers
y= number of scewdrivers.
The total cost is $90.55

7 0

3 years ago

Read 2 more answers

Find the equation of the line passing through (-2,8) and (5,-3)

Advocard [28]

y = -2/3x + 5

this is the slope intercept. -2/3 is the slope and 5 is where it intercepts the y axis.

hope this helps

4 0

3 years ago

Which of the following prefixes is the best for measuring small quantities like the thickness of a dime A.milli B.kilo C.deci D.

never [62]