Find the y-intercept of the parabola whose equation is f(x)=-2x^2-8x+5

Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 End

Vlada [557]

Answer:

0.3 cups of orange juice

Step-by-step explanation:

Patel squeezed $\frac{4}{17}$ cups from the first orange, $\frac{3}{10}$ cups from the second orange, $\frac{9}{20}$ cups from the third orange, $\frac{3}{11}$ cups from the fourth orange and $\frac{7}{15}$ cups from the fifth orange.

Find $\frac{4}{17}+\frac{3}{10}+\frac{9}{20}+\frac{3}{11}+\frac{7}{15}$

Here, L.C.M of 17, 10, 20, 11, 15 is equal to 11,220

$\frac{4}{17}+\frac{3}{10}+\frac{9}{20}+\frac{3}{11}+\frac{7}{15}\\\\=\frac{2640+3366+5049+3060+5236}{11220}$

$=\frac{19351}{11220}$

Total number of cups of orange juice needed = 2

Now find $2-\frac{19351}{11220}$

$2-\frac{19351}{11220}=\frac{22440-19351}{11220} =\frac{3089}{11220}=0.3$

3 0

3 years ago

Read 2 more answers

The capacity of a petrol tank is 80 litres. If it initially contains 5 litres and a petrol pump fills it at 3 litres per 10 seco

deff fn [24]

Answer:

A. 41 litres

B. 83.33 seconds

C. 250 seconds

Step-by-step explanation:

From the given data:

The capacity of a petrol tank = 80 litres

Litres of petrol that was initially in the tank = 5 litres

Petrol pump fills at = 3 litres per 10 seconds

A. To find the amount of fuel in the tank after 2 minutes

Let the amount of fuel in the tank after 2 minutes be x

60 seconds make 1 minute

There are 120 seconds in 2 minutes

If, 3 litres = 10 seconds

x litres = 120 seconds

x litres = (120 X 3) / 10

x litres = 36 litres

There will be 36 litres pumped after 2 minutes

So the amount of fuel in the tank will be, the initial litres in the tank + litres pumped after 2 minutes

Which is, 5 litres + 36 litres = 41 litres

B. To find how long it will take to fill the tank to 32 litres,

Implies, an additional 25 litres is required to be added to the initial 5 litres of petrol in the tank

3 litres = 10 seconds

25 litres = x seconds

x seconds = (10 X 25) / 3

x seconds = 83.33 seconds

83.33 seconds is required to fill the tank to 32 litres

C. To find how long it will take to fill the tank.

Since the tank capacity is 80 litres, and it has an initial fuel of 5 litres, an additional 75 litres is required to fill the tank

If, 3 litres = 10 seconds

To get an additional 75 litres = (75/ 3) X 10 seconds = 250 seconds

Therefore, 250 seconds is required to fill the tank

8 0

3 years ago

Kai calculates that he spends 15% of the school day in science class. If he spends 42 minutes in science class, how many minutes

MissTica

You need to first multiply 100 by 42 then divide by 15

6 0

3 years ago

Compare the value of 3 in 302754 and 53891. The value of 3 in 302254 is _______ times the value of the 3 and 53891

noname [10]

Compare how many place values the 3's have.
The 3 in 302754 is in the 6th place value, while the 3 in 53891 is in the 4th place value. Each place value is 10 times the one below it. Since the first 3 is 2 place values ahead, 10*10=100 times.

8 0

3 years ago

A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e

ikadub [295]

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

<h3>How to find the z score (z statistic) for the sample mean?</h3>

If we're given that: