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Scorpion4ik [409]
3 years ago
8

Maria fills a 1/4 measuring cup 3 times with sugar a 1/3 measuring cup 4 times with flour and 1/2 measuring cup 3 times with wat

er. How many total cups of ingredients did Maria use altogether ?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0
Hey um out those numbers in a Cauc and you should get you answer
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Andrew spends every Saturday at the gym working out. He can complete 1/12 of his workout in 1/6 of an hour. If he continues at t
Mariana [72]

Answer:

he completes 1/2 of the workout in a hour

Step-by-step explanation:

1/6 x 12 = 2

2 hours

2 hours to complete the whole workout.

he completes 1/2 of the workout in a hour

7 0
3 years ago
Read 2 more answers
Consider the function f (x) = StartFraction x squared + 11 x minus 12 Over x minus 1 EndFraction.
zhenek [66]

Answer:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

Step-by-step explanation:

We have the function:

f(x) = \frac{x^2 + 11*x  - 12}{x - 1}

Here we have a problem when x = 1, because that makes the denominator to be equal to zero.

For now, let's see what happens to the numerator when x = 1

1^2 + 11*1 - 12 = 12 - 12 = 0

So x = 1 is a root of the numerator.

Let's find the other root of the numerator, here we can use Bhaskara's formula:

x = \frac{-11 \pm \sqrt{11^2 - 4*1*(-12)} }{2*1}  = \frac{-11 \pm 13}{2}

Then the two roots are:

x = (-11 + 13)/2 = 1

x = (-11 - 13)/2 = -12

And remember that a quadratic equation:

y = a*x^2 + b*x + c

With roots p and k, can be written as:

y = a*(x - p)*(x - k)

Then we can rewrite our numerator as:

1*(x - 1)*(x - (-12)) = (x - 1)*(x + 12)

Replacing that in the equation for f(x), we get:

f(x) = \frac{x^2 + 11*x  - 12}{x - 1} = \frac{(x - 1)*(x + 12)}{(x - 1)}  = \frac{x - 1}{x -1} *(x + 12)

f(x) = x + 12

And, when evaluated in x = 1, we get:

f(1) = 1 + 12 = 13

Then the correct option is:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

4 0
3 years ago
Read 2 more answers
Identify the volume of a cone with radius 6 m and height 11 m. HELP PLEASE!!
Lera25 [3.4K]

Answer: 414.48

Step-by-step explanation:

r: the radius of the base

h: height

The volume of a cone is given by:

V = π ∙ r2 ∙ h / 3,

where π ∙ r2 is the base area of the cone.

π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used.

6 0
3 years ago
Jasmine has $4.90 in quarters, dimes, nickels, and pennies. She has 2 more dimes than
marishachu [46]

Answer:

11

Step-by-step explanation:

5 0
3 years ago
During a race, a runner’s time was 4 seconds at the 36-meter mark and 6 seconds at the 57-meter mark. What was the runner’s aver
Arturiano [62]

Answer:

E

Step-by-step explanation:

57 - 36 =  21              6 - 4 = 2 seconds

21 ÷ 2 = 10.5

6 0
3 years ago
Read 2 more answers
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