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Mandarinka [93]
3 years ago
7

grandma's cake recipe calls for 2 cups of flour and 3 ounces of oil.how many ounces of oil would be needed for 15 cups of flour?

Mathematics
1 answer:
podryga [215]3 years ago
8 0
42 ounces of oil would be needed
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The equation of a line is given by y=m+b. Solve for M
padilas [110]

Step-by-step explanation:

M =<u> y</u>

b

That is the answer

6 0
3 years ago
The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the funct
Dovator [93]

Answer:

a) Sketch the graph of the function f. (it is in the attached file)

b) What was the ratio at the beginning of 2006? At the beginning of 2014?

For 2006 the ratio is 3.92

For 2014 the ratio is 3.5

c) Over what years is the ratio constant?

[1995, 2000]

d) Over what years is the decline of the ratio greatest?

[2010, 2030]

Step-by-step explanation:

b) We first need to know in between which function 2006 falls into, so if we start in t=0=1995, then 2006-1995=11, t=11

t=11 fall into:

f(x)=-0.03t+4.25

f(11)=-0.03(11)+4.25=3.92

For 2006 the ratio is 3.92

2014:

Same process that 2006, t=0=1995, then 2014-1995=19, t=19

t=19fall into:

f(x)=-0.075t+4.925

f(19)=-0.075(11)+4.925=3.5

For 2014 the ratio is 3.5

c) The ratio is only constant in the first section of the graph 0≤t<5, since 4.1 is constant. Following the same process for the years in star (b) we have t=0, 1995+0=1995, t=5, 1995+5=2000.

The ratio will be constant between [1995, 2000]

d) For the greatest decline we need to compare slopes. From the line equation we have:

y(x)=mx+b where m is the slope and b is the point the line intersects with the y axis. Here we have:

f(x)=-0.03t+4.25  for 5≤t<15

f(x)=-0.075t+4.925  for 15≤t≤35

So:

m=-0.03 for 5≤t<15

m=-0.075 for 15≤t≤35

If we are measuring the steepness of the decline, we have to compare:

|-0.03| and |-0.075| or 0.03 and 0.075, easily finding that 0.075>0.03

And doing the sames process for the years in question (c):

t=15, 1995+15=2010, and t=35, 1995+35=2030

This means that the biggest decline is between the years:

[2010, 2030]

3 0
3 years ago
a car gets 27 miles per gallon in the city and 35 miles per gallon on the highway. what range of miles can the car travel on 3 g
Verdich [7]
The answer is 81 < < 105

Explanation: Since the car gets 27 mpg in the city and gets 35 mpg on the highway, you can set it up in the inequality 27 < < 35 and this represents the range a car can drive for 1 gallon, so to find the range for 3 gallons, you multiply this inequality by 3.

27(3)<<35(3)
27(3)=81
35(3)=105

Then you can insert the numbers into the inequality to get 81<<105.
7 0
2 years ago
Need help plsss ASAP
Phantasy [73]

Answer: I would choose option "c"

Step-by-step explanation:

5 0
3 years ago
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What is .22 divided by 88.66​
Nana76 [90]

Answer:

0.00248139

Step-by-step explanation:

8 0
3 years ago
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