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4 years ago

7

Math help mee plzzzzzz

1 answer:

Alisiya [41]4 years ago

4 0

The answer would be answer.

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Tap X can fill a bath in 12 minutes.

cricket20 [7]

<h3>Answer: 4 minutes</h3>

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Explanation:

Let's say that this tub is 72 gallons. I picked this number since 12*6 = 72. You can pick any number you want, but I picked this number so we end up with whole number results as shown below.

Tap X can fill the 72 gallon tub in 12 minutes. Its rate is 72/12 = 6 gallons per minute. Tap Y has a rate of 12 gallons per minute because 72/6 = 12.

Add the two unit rates: 6+12 = 18

If the two taps are opened at the same time, then they will work at a rate of 18 gallons per minute.

Let x be the number of minutes. The expression 18x represents how much of the tub is full after x minutes. Set this equal to the 72 we started with earlier and solve for x.

18x = 72

x = 72/18

x = 4

It will take 4 minutes if both taps are running at the same time.

8 0

3 years ago

Which statement is true of normally distributed data ??

balandron [24]

Answer:

The correct option is b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean

Explanation:

According to the empirical rule of normal distribution:

1. Approximately 68% of the data falls within 1 standard deviation $\pm 1$ of the mean

2. Approximately 95% of the data falls within 2 standard deviations $\pm 2$ of the mean

3. Approximately 99.7% of the data falls within 3 standard deviations $\pm 3$ of the mean.

Therefore, among the given options, only option b adheres to the empirical rule of the normal distribution. Therefore, the option b is correct

8 0

3 years ago

3(x+7)+(2x-10) (SIMPLIFY)

zmey [24]

Answer:

5x + 11

Explanation:

3(x + 7) + 2x − 10

<u>Distribute</u>

(3)(x) + (3)(7) + 2x − 10

3x + 21 + 2x − 10

<u>Combine Like Terms</u>

3x + 21 + 2x − 10

(3x + 2x) + (21 − 10)

= 5x + 11

8 0

3 years ago

Factor 12y^2 + 5y - 2 completely.

guapka [62]

<em>So</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>of</em><em> </em><em>option</em><em> </em><em>C</em><em>.</em>

<em>HOPE</em><em> </em><em>THIS</em><em> </em><em>WILL</em><em> </em><em>HELP</em><em> </em><em>U</em><em>.</em><em>.</em><em>.</em><em>=</em><em>)</em>

6 0

3 years ago

Read 2 more answers

Solve the equation. Round to the<br> nearest thousandth.<br> 4e2x = 5<br> x = [?]

Svet_ta [14]

Answer:

x = 0.1116 (rounded to 4 decimal places)

Step-by-step explanation:

We need to isolate "e" first, so we do:

$4e^{2x}=5\\e^{2x}=\frac{5}{4}\\e^{2x}=1.25$

Solving these types of equations requires us to take the Natural Logarith (Ln) of both sides, so we have:

$e^{2x}=1.25\\Ln(e^{2x})=Ln(1.25)$

We can use the property of logarithms shown below to further simplify:

$Ln(a^b)=bLn(a)$

So, we have:

$Ln(e^{2x})=Ln(1.25)\\(2x)Ln(e)=Ln(1.25)$

We know Ln(e) = 1, thus now, we can replace it and solve for x:

$(2x)Ln(e)=Ln(1.25)\\(2x)(1)=Ln(1.25)\\2x=Ln(1.25)\\2x=0.2231\\x=\frac{0.2231}{2}\\x=0.1116$

So

x = 0.1116 (rounded to 4 decimal places)

8 0

3 years ago

Read 2 more answers