All categories

2 years ago

5 ounces of potatoes produce about 20 calories. What is the unit rate in calories per ounce?

Mathematics

2 answers:

NikAS [45]2 years ago

7 0

Answer:

4 calories per ounce.

Step-by-step explanation:

20/5 = 4

skelet666 [1.2K]2 years ago

3 0

1 ounce =4 calories

You might be interested in

1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

7 0

2 years ago

If the greatest integer function is called the floor function because it rounds any number down to the nearest integer, what wou

Phantasy [73]

Ceiling Function is the least integer that is greater than or equal to x.

5 0

3 years ago

Read 2 more answers

I need this problem solved real quick

PIT_PIT [208]

Let's take this problem step-by-step:

The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'

⇒ is on a straight line

⇒ sum of angle measure = 180 degrees

$unlabeled_.angle+78 = 180\\unlabeled_.angle = 102$

Now we know:

⇒ sum of all angles in a triangle ⇒ 180°

Let's put that in equation form and solve:

$x + 102 + 57=180\\x + 159=180\\x = 21$

Answer: 21°

Hope that helps!

#LearnwithBrainly

8 0

2 years ago

What is the common ratio for the sequence 28,14,7,3.5 ?

wolverine [178]

Answer:

Its 2

Step-by-step explanation:

7 0

3 years ago

Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds

tino4ka555 [31]

Since we know that he ate 1/4 pound one time, and 1/6 another time, we have to add up the fractions.

1/4+1/6

LCM of 4 and 6 = 12

3/12 + 2/12

Add the numerators:

5/12

So, he ate 5/12 of a pound of bars in both breaks.

Hope this helps!

7 0

3 years ago

Read 2 more answers