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2 years ago

The graph shows a fir tree's diameter growth over a 50 year period.

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

6 0

Answer:

The answer is B.) The diameter of the fir tree when planted and 20 inches

Step-by-step explanation:

The y-intercept is the initial diameter of the fir tree (10 inches). At the end of 50 years, the tree's diameter is 30 inches. Therefore, 30 − 10 = 20 inches of growth occurred over the 50 year period. The diameter of the fir tree when planted. The fir tree's diameter was 10 inches when it was planted.

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Sam and Edna have 56 marbles together Edna has 6 times more marbles than Sam. How many marbles does sam have ?

Elis [28]

The answer is 8 marbles. 6*8=48. 48(ednas marbles) + 8(sam's marbles)=56.

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2 years ago

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2 years ago

Paul is going to have the exterior of his home painted. Painting USA charges $75.00 to come out and evaluate the house plus $25.

murzikaleks [220]

CP - the cost of painting the house for Painting USA company [$]
cP = 75 + 25 * 25 = 75 + 625 = 700 [$]
cU - the cost of painting the house for Upscale Home Painting company [$]
cU = 0 + 40 * 25 = 1000 [$]

cP < cU
The most cost effective is Painting USA company.

n - number of houres required to paint the house if the same cost for both companies
75 + 25 * n = 40 * n
40 n - 25n = 75
15n = 75 /:15
n = 5
The cost of paining the house is the same for both companies if the number of houres required to paint the house is 5.

6 0

2 years ago

Bill buys and sells laptops. Last month Bill bought 50 laptops. He paid £400 for each laptop. He sold 40 of these laptops at a p

Ivenika [448]

Answer:

As Bill's sales is £25400, which is greater than £25000, he achieved his target.

Step-by-step explanation:

Cost of each laptop = £400

lets calculate for 40 laptops first

Given, he sold 40 of these at 30% profit

30% of cost price = 30% of £400 = 30/100 * 400 = 120

Therefore, selling price of these laptops = £400 + £120 = £520

Total sales generated from selling 40 of these laptop = 40*£520

= £520 =£20,800

lets calculate for 10 laptops now

Given, he sold 10 of these at 15% profit

15% of cost price = 15% of £400 = 15/100 * 400 = 60

Therefore, selling price of these laptops = £400 + £60 = £460

Total sales generated from selling 10 of these laptop = 10*£460

= £4600

Total sales generated from selling all the 50 laptop =

Total sales generated from selling 40 of these laptop + Total, sales generated from selling 10 of these laptop = £20,800 + £4600 = £25,400

Target for Bill = £25000

As his sales is £25400, which is greater than £25000, he achieved his target.

6 0

2 years ago

Please, I'm confuse!

Ivahew [28]

OK. You asked for it. Here we go.
First, let's gather up the tools we might use ...
some things that we know about triangles:

-- Every triangle: Area = (1/2) x (length of the base) x (the height)

-- Isosceles triangle: It has two sides that are the same length.

-- Right triangle: It has one right angle in it.
The sides that meet at the right angle are called the "legs".
They form a corner there, like this _| .
-------------------------------------------
Now we can start using these tools to hack away at the problem.
Farmer Ted has an isosceles right triangle garden.
The problem asks us to figure out how long the legs are.

Before he changes anything, it looks like this _| and both of
those sides are the same length. Call it 'x' until we figure out
what it really is.

Notice that one of them is the base of the triangle, and the other one
is the height. So the area of this triangle is

 (1/2) (x) (x) or (1/2) x² .

-------------------------------

Farmer Ted is never satisfied. Suddenly, one day without warning, he
comes along and makes the garden bigger. He makes one of the legs
7 ft longer, and he makes the other one 5 ft longer.

Now the length of one leg is (x + 7) and the other one is (x + 5) .
They're still the base and height of the triangle, so the area of the
bigger garden is
 (1/2) (x + 7) (x + 5).

The problem says that this area is 55 square feet more than the original
area, so look out, here comes the equation :

 new area = old area + bigger

 (1/2) (x + 7) (x + 5) = (1/2) x² + 55

Locked in the mysterious shadowy crevices of this equation is
everything we need in order to figure out the original length of the legs ...
what we called 'x'.

At this point, we can forget about Farmer Ted, forget about the garden,
and just go back to our laboratory with this equation and solve it to find 'x'.

Let's take it slow and easy, one little step at a time:

 (1/2) (x + 7) (x + 5) = (1/2) x² + 55

Multiply each side by 2 : (x + 7) (x + 5) = x² + 110

Expand (FOIL) the left side: x² + 12x + 35 = x² + 110

Subtract x² from each side: 12x + 35 = 110

Subtract 35 from each side: 12x = 75

Divide each side by 12 : x = 6.25 feet

==============================================

OK. That's a very nice number. How do we know whether it's correct ?
Let's check it out, and see if it fits the story:

Original area = (1/2 x base x height) = (0.5 x 6.25 x 6.25) = 19.53125 sq ft

One new leg = (6.25 + 7) = 13.25 ft
Other new leg = (6.25 + 5) = 11.25 ft

New area = (1/2 x base x height) = (0.5 x 13.25 x 11.25) = 74.53125 sq ft

How much bigger is the new area ?

 74.53125 - 19.53125 = 55 sq ft  yay !

When we start with legs that are 6.25-ft and go through the whole story,
the new area is exactly what the problem says it was. So 6.25-ft is the
correct original length of the legs, before Farmer Ted messed with it.

7 0

2 years ago