A 9 foot tall tree casts a 5 foot shadow . At the same time a house casts a 28 foot shadow. How tall is the house?

chris can be paid in one of two ways. plan a is a salary of $370 per month, plus a commission of 8% of sales. plan b is a salary

JulijaS [17]

Answer:

For a sale value greater than $7200 the plan a is profitable.

Step-by-step explanation:

Let us assume for a sale of $x, Chris will choose plan a.

Now, in plan a, a commission of 8% of sales and $370 per month, is the salary.

So, for a sale of $x the salary is $(370 + 0.08x) per month.

And, in plan b, a commission of 3% of sales and $730 per month, is the salary.

So, for a sale of $x the salary is $(730 + 0.03x) per month.

Now, for selecting plan a, the condition is

(370 + 0.08x) > (730 + 0.03x)

⇒ 0.05x > 360

⇒ x > 7200

Therefore, for a sale value greater than $7200 the plan a is profitable. (Answer)

5 0

3 years ago

A 12 foot board is cut so that one piece is 5 times as long as the other. Find the length of each piece.

sveta [45]

Answer:

2 and 10

Step-by-step explanation:

Let x be length of the small piece and y the length of the big one.

● y = 5x

Since the big piece is 5 times longer than the short one.

The total length is 12 ft

● y + x = 12

● 5x + x = 12

● 6x = 12

Divide both sides by 6

● 6x/6 = 12/6

● x = 2

So the length of the two pieces are 2 ft and 10 ft (5×2)

4 0

3 years ago

Please help i have such a low GPA and i have to get it up so i can get into high school 100 points

enyata [817]

Answer:

Well, The volume of the sink shaped like a half sphere is [2000/3] π in^2.

a) The volume of a cylinder is the area of the base * height

For this part the cup has a diameter, d, of 4 in and height, h, of 8 in.

The area of the base is π (d/2)^2 = π (2 in)^2 = 4π in^2.

The volume of the cuo is 4π in^2 * 8 in = 32π in^3.

Then the number of cups to take the volume of [2000 / 3] π in^2 is:

[2000 / 3]π / [32π] = 20.83

Answer: 21 cups.

b) For this part the diameter of the cup is 8 in and the height is 8 in

Then the volume is π (4 in)^2 * 8 in = 128 ⇅ in^3

And the number of cups needed is [2000π/3] / (128π) = 5.2

Answer: 5 cups. Good Luck!

From ~Itsbrazts~.

8 0

3 years ago

Read 2 more answers

Need help ASAP and will give brainliest if right!

Luba_88 [7]

Answer: The answer is converges r=1/7

4 0

3 years ago

Solve for h h - 3h - 8 = 14 H=?

sweet [91]

The initial step that must be taken before solving almost any problem is to understand what the problem is asking for us to do and what is provided to us to complete that goal. Looking at the problem statement, we can see that we are being requested to solve for h and we are provided an expression to do so. Let's begin solving the expression by combining like terms.

Combine like terms

$h - 3h - 8 = 14$

$(h - 3h) - 8 = 14$

$(- 2h) - 8 = 14$

Just a quick explanation on what combine like terms means, it basically just means to combine the coefficients of the numbers associated with the same variables. Like in this example we can combine h and -3h because they have have the variable h associated with them.

Add 8 to both sides