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lbvjy [14]
3 years ago
6

A strip of paper is 9/10 inchrs long. Need to cut into 3/12 inch pieces. How many pieces will i be able to cut?

Mathematics
1 answer:
Inga [223]3 years ago
8 0
Finding a common denominator between 10 and 12 to be 10*12=120, we can multiply 9/10 by 12/12 and 3/12 by 10/10 to get 108/120 and 30/120 respectively. Dividing the 2 (as we want to know how much 3/12 or 30/120 goes into 9/10 or 108/120), we get
(108/120)/(30/120)=(108/120)*(120/30)=(108/30)=3+18/30 (as 30 goes into 90 3 times and 108-90=18)
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What ia the common ratio of the sequence? -2 , 6, -18, 54,...
Jlenok [28]
Its a multiplication by -3 on each term, so I think you're gonna answer is by r=-3, maybe?
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3 years ago
Samantha earns $8 per hour at a candy store. She receives a 5% raise. What are her new hourly earnings?
d1i1m1o1n [39]
$8 x 5 = 40

40/100 = 0.4

$8 + 0.4 = $8.4

Therefore Samantha now earns $8.4 per hour.
4 0
3 years ago
Write an expression for the area of the shaded region in its simplest form. Show all of your steps.
patriot [66]
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:

((x+10)(2x+5)) - ((x+1)(x+1))

First, FOIL both of the areas separately:

(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)

Simplify within the parentheses by adding like terms:

(2x^2 + 25x + 50) - (x^2 + 2x + 1)

Now, subtract one equation from the other:

2x^2 + 25x + 50
-x^2  -    2x  -   1
= x^2 + 23x + 49

This will be the equation for the area.
3 0
3 years ago
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AfilCa [17]
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3 years ago
At which of the following points do the two equations f(x)=3x2+5 and g(x)=4x+4 intersect?
Basile [38]

Answer:

(\frac{1}{3}, \frac{16}{3} ) and (1, 8 )

Step-by-step explanation:

To find the points of intersection equate f(x) and g(x), that is

3x² + 5 = 4x + 4 ( subtract 4x + 4 from both sides )

3x² - 4x + 1 = 0 ← in standard form

(3x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = \frac{1}{3}

x - 1 = 0 ⇒ x = 1

Substitute these values into either of the 2 functions for corresponding y- coordinates.

Substituting into g(x), then

g(1) = 4(1) + 4 = 4 + 4 = 8 ⇒ (1, 8 )

g(\frac{1}{3} ) = \frac{4}{3} + 4 = \frac{16}{3} ⇒ (\frac{1}{3}, \frac{16}{3} )

3 0
4 years ago
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