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Gekata [30.6K]
2 years ago
9

A tank containing 35 gallons of water is leaking at a rate of ¼ gallon per minute. The expression to represent this is 35 - ¼m.

How many gallons are left after 12 minutes?
Mathematics
1 answer:
Gnoma [55]2 years ago
8 0

Answer:

25 gallons

Step-by-step explanation:

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No 2/3 and 5/6 are not equivalent ratios .
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A collection of dimes and quarters is worth $9.55. If the quarters were dimes and the dimes were quarters, the total value would
kvasek [131]

Number of dimes are 18 and number of quarters are 31

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

A collection of dimes and quarters is worth $9.55

value of 1 dime x number of dimes + value of 1 dime x number of quarters = 9.55

0.10d + 0.25q = 9.55 ---------- eqn 1

If the quarters were dimes and the dimes were quarters, the total value would be 7.60

quarters were dimes means , q = d

dimes were quarters means d = q

0.25d + 0.10q = 7.60 ----- eqn 2

Let us solve eqn 1 and eqn 2 to find "d" and "q"

Multiply eqn 1 by 2.5

0.25d + 0.625q = 23.875 ---- eqn 3

Subtract eqn 2 from eqn 3

0.25d + 0.625q = 23.875

0.25d + 0.10q = 7.60

( - ) ----------------------

0.525q = 16.275

q = 31

Substitute q = 31 in eqn 1

0.10d + 0.25q = 9.55

0.10d + 0.25(31) = 9.55

0.10d + 7.75 = 9.55

0.10d = 1.8

d = 18

Thus dimes are 18 and number of quarters are 31

5 0
3 years ago
Please help with this
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Answer:

use 2 defined points.

Lets use: (-3,0) and (0,3)

The equation is written as y = mx+b, where m is the slope and  is the y-intercept

Slope - change in y / change in x:

Slope = (3 -0) /(0- -3) = 3/3  = 1

b is the y-intercept which is the y value when x is o, which is one of the points (0,3) so b = 3

The equation becomes y = x +3

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A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from
creativ13 [48]

The mean exists at 3 and the standard deviation exists 0.87.

Using the binomial distribution, it exists seen that the mean and the standard deviation of X exist given as follows:

$\mu_{X}=3, \sigma_{X}=0.87

<h3>What is the binomial probability distribution?</h3>

The expected value of the binomial distribution exists:

$\mu_{X}=n p$$

The standard deviation of the binomial distribution exists:

$\sigma_{X}=\sqrt{n p(1-p)}$$

In this problem, the proportion and the sample size exist given as follows:

p = 0.75

n = 4

Therefore, the mean and the standard deviation exist given by:

$&\mu_{X}=n p=4(0.75)=3 \\

$&\sigma_{X}=\sqrt{n p(1-p)}

$=\sqrt{4(0.75)(0.25)}=0.87

The mean exists at 3 and the standard deviation exists 0.87.

To learn about the binomial distribution refer to:

brainly.com/question/24863377

#SPJ4

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Deffense [45]

Answer:

148 minutes = 2h 28 min

Step-by-step explanation:

48min+(25+75mins)=48+100=148

5 0
2 years ago
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