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cricket20 [7]
3 years ago
10

Four friends are sharing 6 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

1 1/2 cups

Step-by-step explanation:

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Find each product by distributing.<br> (2a - 5)(a? – 2a + 1)
Westkost [7]

Answer:

A = 1 , 1 , \frac{5}{2}

Step-by-step explanation:

Given equation as

(2a -5) (a² -2a +1) = 0

Or, (2a - 5) (a - 1 )² = 0

Or, (2a - 5) (a - 1) (a - 1) = 0

So, value of a are :

2a - 5 =0,    a - 1 =0,    a- 1 = 0

i.e     a = \frac{5}{2}

and   a = 1 , 1

Answer

5 0
3 years ago
for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).
Schach [20]

Answer:

  • k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>
  • 3x - ky + 7 = 0

<h3>Line 2</h3>
  • Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

  • The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

  • <em>standard form is ⇒ ax + by + c = 0, </em>
  • <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

  • 3x - ky + 7 = 0
  • ky = 3x + 7
  • y = (3/k)x + 7/k

Its slope is 3/k.

Find the slope of line 2, using the slope formula:

  • m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

  • (3/k)*(- 6) = - 1
  • - 18/k = - 1
  • k = 18

So when k is 18, the lines are perpendicular.

4 0
2 years ago
Calculate the unit rate: $19.20 for 6 feet of ribbon
g100num [7]

Answer:

=$3.02

Step-by-step explanation:

$19.20 ÷ 6= $3.02

Hope I helped :))

6 0
3 years ago
Read 2 more answers
Each month for 7 months, Eve reads 3 books. How many more books does she need to read before she has read 30 books?
enot [183]
How many books has she read so far? She's been doing this for 7 months, so so far she's read:

7*3=21

how many does she still need to read?

30-21=9

so she needs to read 9 more books. With 3 books a month, this means:

9/3=3

so she needs to read 9 more books, which will take her 3 months!
6 0
3 years ago
Find the width of a rectangular prism if the volume is 77,680 cm^3, the length is 43 cm, and the height is 94.4 cm.
Lapatulllka [165]
Set the formula. length x width x height = Volume and solve for whichever
6 0
3 years ago
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