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Alla [95]
2 years ago
7

At Micaela's Printing Company LLC there are two kinds of penting presses: Model A which can print 60 books per day and Model B w

hich can print 30 books per day. The company owns 15 total printing presses and this allows them to print 600 books per day. How many of each type of press do they have?
Mathematics
1 answer:
devlian [24]2 years ago
8 0
A+B=15 —>A+15=B(plug this into the other equation)
60a+30b=600
60a+30(a+15)=600
60a+30a+150=600
90a+150=600
90a=450
A=5 (plug back in to first equation)
A+B=15
5+B=15
B=10

They have 5 of the Model A and 10 of model B.
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Determine the intercepts of the line.
Andrew [12]

Answer:

y = 12

x = 10/3

Step-by-step explanation:

y = -3.6x + 12

From this equation, which is in slope intercept form (y = mx+b), we already know that b represents the y-intercept, so that means the y-intercept is 12.

To find the x-intercept, we need to make y equal 0 to find x. So:

0 = -3.6x + 12

-3.6x = -12

x = 3.33333 --> 3 1/3

x = 10/3

6 0
3 years ago
Read 2 more answers
Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is
olganol [36]
<h2><u>Answer</u>:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

<h2><u>Step-by-step explanation:</u></h2>

<em>The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;</em>

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²               ------------------(i)

<em>From the question:</em>

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

<em>Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;</em>

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25      ------------------(ii)

<em>Open the brackets and have the following:</em>

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0    [<em>equation has already been normalized since the coefficient of x² is 1</em>]

<em>Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:</em>

x² + y² + z² + 18(x - y + z) + 218 = 0

(2)  To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25        [<em>subtract 25 from both sides</em>]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

6 0
3 years ago
The graph shows which equation?
liraira [26]

Answer:

First option / a - y = 2x - 2

Step-by-step explanation:

    We can tell it'll either be the first one or the second one as the line intercepts the y-axis at -2, so the b will be -2.

    The line goes up 2 and over 1, so the slope will be 2. Putting all the pieces together gives us the first option of y = 2x - 2.

4 0
2 years ago
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ PLZ PLZ HELPPPPPPPP<br> ILL MARK BRAINLEST
Morgarella [4.7K]

Answer:

The third option: Account A balance is linear. Account B balance is nonlinear. Account B will have a greater balance in Year 3.

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
After the math contest, Badil noticed that there where four extra large pizzas that where left untouched. In addiction, another
Sphinxa [80]
51-3=48 slice.
48 slice/ 4 pizza= 12 slice
each extra large pizza have 12 slice.
4 0
2 years ago
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