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3 years ago

Aunt Barb's Salad Dressing requires 1/3 cup olive oil and 1/6 cup balsamic vinegar. How much dressing does this recipe make?

Mathematics

2 answers:

Mariulka [41]3 years ago

6 0

Answer:

1/2 cup

Step-by-step explanation:

Simplify the following:

1/3 + 1/6

Hint: | Put the fractions in 1/3 + 1/6 over a common denominator.

Put 1/3 + 1/6 over the common denominator 6. 1/3 + 1/6 = 2/6 + 1/6:

2/6 + 1/6

Hint: | Add the fractions over a common denominator to a single fraction.

2/6 + 1/6 = (2 + 1)/6:

(2 + 1)/6

Hint: | Evaluate 2 + 1.

2 + 1 = 3:

3/6

Hint: | Reduce 3/6 to lowest terms. Start by finding the GCD of 3 and 6.

The gcd of 3 and 6 is 3, so 3/6 = (3×1)/(3×2) = 3/3×1/2 = 1/2:

Answer: 1/2

anyanavicka [17]3 years ago

3 0

Answer:

1/2 cup of dressing

Step-by-step explanation:

To find the total amount of dressing, we just need to add up the amounts of olive oil and balsamic vinegar.

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2 cup

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SCORPION-xisa [38]

Answer:

A) The one-time charge for entering the parking lot.

Step-by-step explanation:

The y-intercept of a linear slope equation is “b” (4.50 in this equation). Since you have to pay to <em>get into</em> the parking lot, that would be the y-intercept cost since it wouldn’t be $0.

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3 years ago

A copy machine makes 36 copies per minute. how many copies does it make in 3 minutes and 45 seconds

Gemiola [76]

A copy machine makes 36 copies in a minute (1).

Multiply 36 copies by 3.75 (3 min and 45 sec) to find how many copies it can make within that time.
(36)(3.75) = 135

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5 0

4 years ago

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An equation of an ellipse is given. x2 16 + y2 25 = 1 (a) Find the vertices, foci, and eccentricity of the ellipse. vertex (x, y

eimsori [14]

Answer:

(a)

The vertices are at (0,-5) and (0,5).
The coordinates of the foci are (0,-3) and (0,3).
Eccentricity=3/5

(b)Length of the major axis=10

Step-by-step explanation:

When the major axis of an ellipse is parallel to the y-axis.The standard form of the equation of an ellipse is given as:

$\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1$

Given the equation:

$\dfrac{x^2}{16}+\dfrac{y^2}{25}=1$

(I)The coordinates of the vertices are $(0, \pm a)$

$a^2=25\\a^2=5^2\\a=5$

Therefore, the vertices are at (0,-5) and (0,5).

(II)The coordinates of the foci are $(0, \pm c)$ where c^2=a^2-b^2$

$c^2=a^2-b^2\\c^2=25-16\\c^2=9\\c=3$

The coordinates of the foci are (0,-3) and (0,3).

(III)Eccentricity

This is the ratio of the distance c between the center of the ellipse and each focus to the length of the semi major axis.

Simply put, Eccentricity =c/a

Eccentricity=3/5

(b)Length of the major axis

The length of the major axis=2a

=2(5)=10.

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3 years ago

If you have to apply 30 n of force on a crowbar to lift an object that weighs 330 n, what is the mechanical advantage of the cro

shutvik [7]

<span>The answer is: 2. 11 Crowbar is a Class A lever Therefore the mechanical advantage of the crowbar can be given by either: MA = Output distance/Input distance OR MA = Output force/Input force Since, the question gives only the force, we can use the second formula. MA = Output force/ Input Force = 330 N / 30 N = 11</span>

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3 years ago

Given: f(x) = X^2 - 3 and g(x) = X + 1 The composite function g°f is:_______.

LenKa [72]

Answer:

x² - 2

Step-by-step explanation:

To obtain (g ￮ f)(x), substitute x = f(x) into g(x), that is

g(x² - 3)

= x² - 3 + 1

= x² - 2

8 0

3 years ago

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