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Burka [1]
3 years ago
13

One gallon of water weighs 8.34 pounds. How much does 6 gallons of water weigh? Show your work, including labeling your answer w

ith the appropriate units of measure
Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

50.04 pounds

Step-by-step explanation:

If 1 gallon weighs 8.34 pounds,

all you have to do is multiply 8.34 by 6

to get what 6 gallons would weigh.

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Write an equation in standard form for the line, where the points (-2, -1) and (0, 4) are on the line
DedPeter [7]

Answer:

An equation in standard form for the line is:

\frac{5}{2}x-y=-4

Step-by-step explanation:

Given the points

  • (-2, -1) and (0, 4)

The slope between two points

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)

m=\frac{4-\left(-1\right)}{0-\left(-2\right)}

m=\frac{5}{2}

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

y-y_1=m\left(x-x_1\right)

Putting the point (-2, -1) and the slope m=1 in the line equation

y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)

y+1=\frac{5}{2}\left(x+2\right)

y=\frac{5}{2}x+4

Writing the equation in the standard form form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

so

y=\frac{5}{2}x+4

\frac{5}{2}x-y=-4

Therefore, an equation in standard form for the line is:

\frac{5}{2}x-y=-4

7 0
2 years ago
Find the 84th percentile
morpeh [17]

Answer:

Roughly speaking, in a normal distribution, a score that is 1 s.d. above the mean is equivalent to the 84th percentile. ... In other words, roughly 95 percent of students are within two standard deviations – positive or negative – of the average

5 0
2 years ago
One of the main reasons why individuals make investments based on their future
Aneli [31]

Answer:

Secure a future for upcoming generation

3 0
2 years ago
Use a two-column proof to prove the Triangle Proportionality Theorem:
photoshop1234 [79]

Answer:

Step-by-step explanation:

From the picture attached,

                 Statements                                        Reasons

1). In ΔABC, DE intersects AB and AC  1). Given

2). DE║BC                                              2). Given

3). ∠ADE ≅ ABC                                    3). Corresponding angles postulate

4). ∠AED ≅ ∠ACB                                 4). Corresponding angles postulate

5). ΔADE ~ ΔABC                                  5). AA similarity postulate

6). \frac{AD}{AB}=\frac{AE}{AC}                                           6). Definition of two similar triangles

Hence proved.  

4 0
3 years ago
Find the 5th term of the sequence which has a first of 1 and a common ratio of 2.3
sveticcg [70]
Hello : 

the nth term is :  An =A1 × r^(n-1)

A1 = 1      r = 2.3     n = 5

 A5 =1 × (2.3)^(5-1)=27.9841


3 0
3 years ago
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