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lesantik [10]
2 years ago
9

Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes f

or preheating) how many cookies did Amy make?​
Mathematics
1 answer:
Alexxx [7]2 years ago
5 0
3 hours and 55 minutes - 15 minutes would leave 3 hours and 40 minutes. You figure there’s 20 minutes 3 times in an hour so 3x3 is 9 + the extra 2 20 minute periods from the 40 minutes. So 11 batches of cookies, 48x11= 528. Amy made 528 cookies.
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This is due tomorrow, so please help and show step by step​
Softa [21]

Answer:

  • slope = 3/2
  • y-intercept = 3
  • x-intercept = -2

Step-by-step explanation:

The slope is the coefficient of x when the equation is of the form ...

  y = (something).

Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:

  12x -8y = -24 . . . . . given

  -8y = -12x -24 . . . . .subtract 12x

  y = 3/2x +3 . . . . . . . divide by -8

This is the "slope-intercept" form of the equation. Generically, it is written ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

So, the above equation answers two of your questions:

  slope = 3/2

  y-intercept = 3

__

The x-intercept is found fairly easily from the original equation by setting y=0:

  12x = -24

  x = -24/12 = -2 . . . . . the x-intercept

_____

A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.

8 0
3 years ago
Solve the equation for h? X=r-h/y
Troyanec [42]

Answer:

h = yX -yr

Step-by-step explanation:

X=r-h/y

X - r = h/y

y*(X-r) = h

h = yX -yr

4 0
3 years ago
Let F(X) = x^2-16x+71. What is the vertex and minimum value of F(X)?
LekaFEV [45]
The veretx is normally the minimum value
hack:
for f(x)=ax²+bx+c
the x value of the vertex is -b/2a
so
f(x)=1x²-16x+71
x value is -(-16)/(2*1)=16/2=8
find f(8) to find y value of vertex

f(8)=8²-16(8)+71
f(8)=64-128+71
f(8)=7


the vertex is (8,7)
the minimum value is 7
7 0
3 years ago
If y varies directly with x. and y=10 when x=5.6, find the value of y when<br> X=3
Nady [450]

Answer: 5.3571

Step-by-step explanation:

The formula used to calculate direct proportion is: y = kx

We will find the constant of proportionality when y=10 and x=5.6. This will be:

y = kx

10 = 5.6k

k = 10/5.6

k = 1.7857143

The value of y when X=3 will be:

y = kx

y = 1.7857143 × 3

y = 5.3571

3 0
2 years ago
K=5/9(F+459.67) solve for F in terms of K
Mila [183]

Answer:

F = 5.67503704

Step-by-step explanation:

K=5/9(F+459.67)   K = 5/9F / 5/9  =  255.376667 / 5/9 = F = 5.67503704

5 0
3 years ago
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