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leva [86]
3 years ago
5

Andy has 6 2/3 quarts of juice. How many 2/3 cup servings can he pour?

Mathematics
2 answers:
Inessa05 [86]3 years ago
6 0
You would want to make the 6 2/3 an improper fraction, so it's 20/3
2/3 × 10 = 20/3
so 10 of (2/3) cup servings
finlep [7]3 years ago
6 0

Answer:

17

Step-by-step explanation:

Andy has 6 2/3 quarts of juice which is equal to:

=6.667 quarts

For every quart it is equavilent to 4 cups.

In order to pour cups we can covert the quarts to cups in a ratio of 1:4.

Therefore the number of cups Andy can pour is:

= 6.667*4=26.67

If he must pour 2/3 of a cup he wil pour:

=26.67*2/3=17.78

Any will be able to pour 17 of the 2/3 cup servings

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Determine the equation of each line
katovenus [111]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

(a)

here m = - \frac{3}{4} and c = 6, hence

y = - \frac{3}{4} x + 6 ← equation of line

(b)

here m = 6, hence

y = 6x + c ← is the partial equation

to find c substitute (2, - 6 ) into the partial equation

- 6 = 12 + c ⇒ c = - 6 - 12 = - 18

y = 6x - 18 ← equation of line

(c)

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)

m = \frac{7-3}{4+1} = \frac{4}{5}, hence

y = \frac{4}{5} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 3 ), then

3 = - \frac{4}{5} + c → c = 3 + \frac{4}{5} = \frac{19}{5}

y = \frac{4}{5} x + \frac{19}{5} ← equation of line


3 0
3 years ago
Natasha wants to find out if the neighborhood supports lowering the speed limit on the street in front of her school. Which is a
Daniel [21]
The answer is
Thirty residents who live within a 2 mile radius of natashas school.
8 0
2 years ago
The diameter of a circle measures 14ft. What is the circumference of the circle?
natima [27]
Circumference= 43.98
4 0
3 years ago
609.9 is 85% of what number
castortr0y [4]
Hi

609.9 ⇒ 85%
x ⇒ 100%

85x = 100·(609.9)
85x = 60,990
x = (60,990)/85
x = 717.5294117... ≈ 717.53

85% of 717.53 ⇒ 0.85 × 717.53 = 609.9005 ≈ 609.9

Answer: 717.53
7 0
3 years ago
Read 2 more answers
Which of the following equations is of a parabola with a vertex at (3, 0)?
bixtya [17]

Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient <em>a</em> is equal to one. Therefore:

y = (x - 3)²

7 0
3 years ago
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