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larisa [96]
2 years ago
6

Gina measured the amount of water her friends drink each day in gallons. The line plot shows the measurements.

Mathematics
1 answer:
vova2212 [387]2 years ago
7 0

Line plots are used to represent data using lines and dots

The difference between the greatest amount of water and the least is 1/2

From the line plot (see attachment), we have the following parameters:

Least = 8\frac 28

Greatest = 8\frac 68

<h3>Calculating the difference</h3>

The difference (d) is then calculated as:

d =Greatest -Least

So, we have:

d =8\frac 68 -8\frac 28

Subtract the common terms (8)

d =\frac 68 -\frac 28

Take LCM

d =\frac {6-2}8

d =\frac {4}8

Reduce the fraction

d =\frac {1}2

Hence, the difference between the greatest amount of water and the least is 1/2

Read more about line plots at:

brainly.com/question/3521995

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kakasveta [241]

Answer:

x = 48

Step-by-step explanation:

5x + 12 = 6x - 36 ( subtract 6x from both sides )

- x + 12 = - 36 ( subtract 12 from both sides )

- x = - 48 ( multiply both sides by - 1 )

x = 48

4 0
2 years ago
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information about two homes in a city is given below. Home A has a value of $110,000, which is expected to increase exponentiall
SOVA2 [1]

Answer:

100000(1.04)^t=2[110000(1.04)^t

Step-by-step explanation:

B=2A

100000(1.04)^t=2[110000(1.04)^t

6 0
3 years ago
-3(u+2)=5u-1+5(2u+1)
Mazyrski [523]

Answer:

u = -5/9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-3(u + 2) = 5u - 1 + 5(2u + 1)

<u>Step 2: Solve for </u><em><u>u</u></em>

  1. Distribute:                             -3u - 6 = 5u - 1 + 10u + 5
  2. Combine like terms:             -3u - 6 = 15u + 4
  3. Add 3u to both sides:          -6 = 18u + 4
  4. Subtract 4 on both sides:    -10 = 18u
  5. Divide 18 on both sides:      -10/18 = u
  6. Simplify:                                -5/9 = u
  7. Rewrite:                                 u = -5/9

<u>Step 3: Check</u>

<em>Plug in u into the original equation to verify it's a solution.</em>

  1. Substitute in <em>u</em>:                     -3(-5/9 + 2) = 5(-5/9) - 1 + 5(2(-5/9) + 1)
  2. Multiply:                                -3(-5/9 + 2) = -25/9 - 1 + 5(-10/9 + 1)
  3. Add:                                      -3(13/9) = -25/9 - 1 + 5(-1/9)
  4. Multiply:                                -13/3 = -25/9 - 1 - 5/9
  5. Subtract:                               -13/3 = -34/9 - 5/9
  6. Subtract:                               -13/3 = -13/3

Here we see that -13/3 does indeed equal -13/3.

∴ u = -5/9 is a solution of the equation.

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b + c = 1.5b - 1.5c
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b = 5c

The speed of the current is 1.5 mph so
b = 5 * 1.5 = 7.5 mph
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