Let's make the number we're finding to be $a$ . So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be $\frac{a}{4} +12\\$ . It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be $\frac{a}{3} -5\\$ . Since they are the same, we have the equation below.

$\frac{a}{4} +12 = \frac{a}{3} -5\\$

All we have to do now is to find $a$ .

$\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204$

<h3>Answer:</h3>

Our number must be $204$ . I think

5 0

3 years ago

he data shows the distances, in miles, run by runners in a track club. 6, 3, 8, 8, 6, 6, 8, 2, 5, 2, 5, 10, 3, 5 Create a histog

kakasveta [241]

Answer:

To create a histogram of the given data set, we first must check for the frequency of each value.

6, 3, 8, 8, 6, 6, 8, 2, 5, 2, 5, 10, 3, 5

2 - 2

3 - 2

5 - 3

6 - 3

8 - 3

10 - 1

Now that we have the frequencies of each, we need to add them to each range.

0 - 2 : 2

3 - 5 : 5

6 - 8 : 6

9 - 11 : 1

Refer to the image for the histogram.

4 0

3 years ago

Jennie can make 7 quilts with 21 yards of material how many yards of material would be required to make 12 quilts ?

larisa [96]

I think it's 36. Because 7x3=21 and 12x3=36

4 0

3 years ago

Men’s heights are normally distributed with a mean of 71.8 inches and a standard deviation of 3.4 inches. A social organization

nadya68 [22]

Answer: 2.28%

Step-by-step explanation:

μ = 71.8

σ = 3.4

X < 65

P(X < 65) = P (Z < 65 - 71.8/3.4) = P (Z < -2)

According to the table for the normal distribution attached, it will give us

P (z < Z < 0), this way, to find the P(Z < z), we need to do 0.5 - P:

0.5 - P(-2 < Z < 0) = 0.5 - 0.4772 = 0.0228

In percentage: 0.0228*100 = 2.28%

8 0

3 years ago