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Anastasy [175]
2 years ago
6

Alberto is painting a large triangle on one wall of his bedroom. The base of the triangle is 4 feet, and the height is 8 feet. I

t takes 0.2 quarts of paint to cover 1 square foot.
How many quarts of paint does Alberto use?
0.8 qt

1.6 qt

3.2 qt

6.4 qt
Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
7 0
I beileve it’s 1.6 qt
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The formula to find the area of the walls of a rectangular room is A=2h (l+b), h is wall height, l is room length, and b is room
Allisa [31]
Problems are very often written in a confusing way. This one couldn't possibly have been
written any more clearly.  Sooner or later, you have to stop telling yourself that you have
no clue, settle down, and carefully read the words that are right there on the page.

I'll tell you one more detail that's not in the problem:  "breadth" means "width".
 
Now.  The problem clearly tells you all of these things, in this exact order:

=>  Area of the walls = (2 x height) x (length + width)

=>  length = 8m
=>  width = 6m
=>  height = 2.5m 

Is there a reason you can't take the numbers for length, width, and height,
and write them in the formula for the area ?  Do I have to do all the work ?

Area = (2 x height) x (length + width)

Area = (2 x 2.5m ) x ( 8m    +   6m  )

Do the arithmetic inside the parentheses:

Area = (    5m     ) x (     14m          )

Do the multiplication:

Area = <u>70 m² .</u>

You will never see a problem that comes any closer to answering itself <em>for </em>you.
8 0
3 years ago
At the same store, Peter bought 2 pairs of pants and 5 shirts for $61, and Jessica bought 3 pairs of pants and 4 shirts for $67.
svetlana [45]

Hey there!!

Given :

The total cost for 2 pairs of pants and 5 shirts is $61.

The total cost for 3 pairs of paints and 4 shirts is $67.

<em>Let's take the cost for each pair of paints as 'p' and the cost for each shirt as 's'. </em>

Now, let's get these into an equation.

<em>Peter's equation</em> :

... 2p + 5s = 61

<em>Jessica's equation : </em>

...3p + 4s = 67

......................................................................................................

2p + 5s = 61 --- (1)

3p + 4s = 67 --- (2)

Multiply the first equation with 3 and the second equation with 2.

6p + 15s = 183

6p + 8s = 134

S<em>ubtract both the equations - </em>

... 7s = 49

Divide both sides with 7.

... s = 7

<u><em>Hence, the cost of each shirt is $7. </em></u>

Hope my answer helps!!


6 0
3 years ago
(-2,3)(0,8) what is en equation for these points
jenyasd209 [6]

Answer:

The line equation that passes through the given points is          5x – 2y + 16 = 0

Explanation:

Given:

Two points are A(-2, 3) and B(0, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) is given by

\frac{(y- y1)}{(x-x_1)}= \frac{((y_2- y_1)}{(x_2- x_1 )}

{(y- y1)= \frac{((y_2- y_1)}{(x_2- x_1 )}\times(x-x_1).............(1)

here, in our problem x1 = 0, y1 = 8, x2 = -2 and y2 = 3.

Now substitute the values in (1)

y-8 = \frac{(3-8)}{(- 2 - 0)}\times(x- 0)

y-8 = \frac{(- 5)}{(-2)}\times(x)

y-8 =\frac{5}{2}x

2y – 16 = 5x

5x – 2y + 16 = 0

Hence, the line equation that passes through the given points is 5x – 2y + 16 = 0.

4 0
3 years ago
Name the triangle with angels all more than 90 degrees
Anastaziya [24]
Obtuse "angle"... is the answer.
5 0
3 years ago
Danielle and Drew are sightseeing for the day. Between the two of them they take 77 pictures. Danielle takes 17 more than twice
Alex Ar [27]
Let's break this down:
Total Pictures = 77
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)

So, let's put the pieces together, the problem should look like this:
   Total Pictures = Drew's Pictures + Danielle's Pictures

So let's put in what we know:
   77 = X + (17 + 2X)

1st step is to get X to one side:
   77 = X + 17 + 2X
   -17       - 17
=> 60 = X + 2X
=> 60 = 3X

Now that X is on one side, the 2nd step is to get X to be alone:
   60/3 = 3X/3  (We have to divide to each side because the answer is equal)
   20 = X

So, now that we know what X equals, let's go back to what we broke down:
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)

*Remember that X = 20*
So the amount of Drew's Pictures (since the amount is equal to X) is 20.

Danielle had 17 + 2X pictures which means:
17 + 2(20)
17 + 40
57

So Danielle took 57 pictures
7 0
3 years ago
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