All categories

3 years ago

Seven times a number is the same as 12 more than 3 times the number

Mathematics

1 answer:

Brums [2.3K]3 years ago

5 0

Answer:

x=3

Step-by-step explanation:

7x=12+3x

4x=12

x=3

You might be interested in

Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F. His

Lera25 [3.4K]

Answer:

Step-by-step explanation:

Increase means his temp is going up. Just add.

99.2° + 3.4°

=102.6°

3 0

2 years ago

Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $

STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0

3 years ago

It's 10:30 AM and you add two hours and 30 minutes

viva [34]

11:30-10:00=1 hr and 30 min
5:00-2:00=3 hrs

7 0

3 years ago

Read 2 more answers

Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re

Yanka [14]

Answer:

$Range=14$

$\sigma^2 =32.4$

$\sigma = 5 .7$

The standard deviation will remain unchanged.

Step-by-step explanation:

Given

$Data: 136, 129, 141, 139, 138, 127$

Solving (a): The range

This is calculated as:

$Range = Highest - Least$

Where:

$Highest = 141; Least = 127$

So:

$Range=141-127$

$Range=14$

Solving (b): The variance

First, we calculate the mean

$\bar x = \frac{1}{n} \sum x$

$\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)$

$\bar x = \frac{1}{6} *810$

$\bar x = 135$

The variance is calculated as:

$\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2$

So, we have:

$\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]$

$\sigma^2 =\frac{1}{5}*[162]$

$\sigma^2 =32.4$

Solving (c): The standard deviation

This is calculated as:

$\sigma = \sqrt {\sigma^2 }$

$\sigma = \sqrt {32.4}$

$\sigma = 5 .7$ --- approximately

Solving (d): With the stated condition, the standard deviation will remain unchanged.

5 0

3 years ago

The sum of three consecutive numbers is 537. What is the 3rd number?

maks197457 [2]

For this problem your equation will be x+(x+1)+(x+2)=537

Multiply and Simplify:

x+x+1+x+2=537

3x+3=537

Subtract 3 from both sides:

3x+3-3=537-3

3x=534

Divide both sides by 3:

3x/3=537/3

x=179

179 is the middle number so: 178+179+180=537

180 is the third number.

8 0

3 years ago