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nlexa [21]
3 years ago
7

Mr. Weston boughtn,new microscopesn for his science classroom. each microscope cost $99.90, and he spent a total of $499.50 how

many nicroscopesn,did Mr Weston buy?​
Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

5

Step-by-step explanation:

Take the total amount spent and divide it by the cost of each microscope.

$499.50 ÷ $99.90 = 5

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Factor : LaTeX: 3x^2-7x-10
Zarrin [17]

Hey there!☺

Answer:\boxed{(3x-10)(x+1)}

Explanation:

3x^2-7x-10

We will need to factor 3x^2-7x-10. In order to that, we will have to start grouping.

(3x-10)(x+1)

Hope this helps!

8 0
2 years ago
What is the lowest whole number for hypotenuse c when using the formula <img src="https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E2%2Bb%5E
nata0808 [166]

9514 1404 393

Answer:

  0

Step-by-step explanation:

If a=b, you are asking for a whole number c such that ...

  c = √(a² +a²) = a√2

If 'a' is a whole number, the only whole numbers that satisfy this equation are ...

  c = 0 and a = 0.

  0 = 0×√2

The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.

__

√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.

_____

<em>Additional comment</em>

If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.

3 0
3 years ago
Mari has a part time job. She earns $7 an hour. She makes at most $143.50 a week. What is the greatest number of hours that she
Readme [11.4K]
591.928571 is your answer
8 0
3 years ago
Ricardo throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Ricard
Dominik [7]
For this case we have the following function:
 <span>w (x) = - 5 (x-8) (x + 4)
 </span><span>Rewriting we have:
 </span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
 </span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
 </span><span>w (x) = - 5x ^ 2 + 20x + 160
 </span><span>Then, deriving we have:
 </span><span>w '(x) = - 10x + 20
 </span><span>We equal zero and clear x:
 </span><span>0 = -10x + 20
 </span><span>10x = 20
 </span><span>x = 20/10
 </span><span>x = 2 seconds
 </span><span>Substituting values:
 </span><span>w (2) = - 5 (2-8) (2 + 4)
 </span><span>w (2) = - 5 (-6) (6)
 </span><span>w (2) = 180 meters
 </span>Answer:
 
The maximum height that the stone will reach is:
 
w (2) = 180 meters
7 0
3 years ago
1. Use the distributive property to simplify.<br> -7( y + 9) - (y + 4)<br> I
Oduvanchick [21]

Answer:

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Step-by-step explanation:

-7(y+9)-(y+4) distribute

-7y-63-y-4 combine like terms

-8y-67

i believe this is the right answer :D

4 0
2 years ago
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