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2 years ago

4. One morning at Jim's café, 25 people ordered juice, 10 ordered milk, and 50 ordered coffee with

Mathematics

1 answer:

Alona [7]2 years ago

8 0

Answer:

D. 2 to 5

Step-by-step explanation:

10 milk orders to 25 juice orders can be simplified to 2:5 when divided by five.

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(-7 2/3) + (-5 1/2) + 8 3/4

motikmotik

Answer:

Step-by-step explanation:

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2 years ago

The radius of a circle is 4 feet. What is the circle's circumference? r=4 ft Use 3.14 for n.

Alexxandr [17]

Answer:

C = 25.12 feet

Step-by-step explanation:

C = 2 x 3.14 x 4

C = 25.12 feet

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2 years ago

4x-5 - 2x-1

3241004551 [841]

Answer:

$\frac{5x - 8}{3}$

Step-by-step explanation:

Find the LCM of the denominators and then solve:

$\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\$

$\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\\frac{3(4x - 5) - 2x - 1}{6} \\\\\frac{12x - 15 - 2x - 1}{6}\\\\\frac{10x - 16}{6}\\\\ \frac{2(5x - 8)}{2 * 3} \\\\ \frac{5x - 8}{3}$

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2 years ago

Which relationships describe angles 1 and 2?

djverab [1.8K]

Supplementary and adjacent.

Two angles are called supplementary when their measures add up to 180 degrees.

Adjacent angles are two angles that have a common vertex and a common side but do not overlap.

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2 years ago

Read 2 more answers

Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.

Rufina [12.5K]

Answer: k = -1 +/- √769

Step-by-step explanation:

48x - ky = 11

-48x -48x

-ky = -48x + 11

$\frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}$

$y =\frac{48x}{k} - \frac{11}{k}$

Slope: $\frac{48}{k}$

*************************************************************************

(k + 2)x + 16y = -19

- (k + 2)x -(k + 2)x

16y = -(k + 2)x - 19

$\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}$

$y = -\frac{(k + 2)x}{16} - \frac{19}{16}$

Slope: $-\frac{(k + 2)}{16}$

**********************************************************************************

$\frac{48}{k}$ and $-\frac{(k + 2)}{16}$ are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.

$-\frac{(k + 2)}{16}$ * $\frac{k}{48}$ = -1

$\frac{(k + 2)k}{16(48)}$ = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769

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3 years ago