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Vera_Pavlovna [14]
3 years ago
13

Answer these 12 questions

Mathematics
1 answer:
frutty [35]3 years ago
6 0

Answer:

Step-by-step explanation:

1) 7x - 14 =  2x + 11    {Add 14 to both sides}

  7x - 14 +14 = 2x + 11  +14

7x  = 2x + 25

7x - 2x = 2x + 25 - 2x

5x = 25           {Divide both sides by 5}

5x/5 = 25/5

x = 5

 

2) 6x + 5 = 3x + 14

6x = 3x + 14 - 5

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 9/3

x = 3

3) 12x + 5 = 4x +37

12x = 4x + 37 - 5

12x = 4x + 32

12x - 4x = 32

8x = 32

x = 32/8

x = 4

4) 3x + 8 = 2x + 21

3x  = 2x + 21 - 8

3x = 2x + 13

3x - 2x = 13

x = 13

5)  5x + 3 = x + 11

5x = x + 11 -3

5x = x + 8

5x - x = 8

4x = 8

x= 8/4

x = 2

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Round to the merest hundredth389.993
kvasek [131]
What's a hundredth?

it's like this:

0.01

so where is the hundred place in this number?

389.9<em>9</em>3

it's the 9 that i made boldface

so to round to this number we delete everything after it, asking ourselves if the number after it is 4 or less? yes! so we can just delete it without changing anyway


389.99

3 0
3 years ago
Write the equation of a line perpendicular to y=0.25x-7 and passes through the point -6,8
horrorfan [7]

the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Step-by-step explanation:

We need to write equation of line perpendicular to y=0.25x-7 and passes through the point (-6,8)

Since the line y=0.25x-7 is in slope-inetercept form y=mx+b

the slope of line m = 0.25

As, the new line is perpendicular to the given line so, slopes of lines that are perpendicular are: slope = -1/slope1

So, slope will be -1/0.25 = -4

Now, finding y-intercept.

y=mx+b8=4(-6)+b\\8=-24+b\\b=8+24\\b=30

So, value of y-intercept b = 30

Now the equation of the required line having slope m= -4 and b =30 will be:

y=mx+b\\y=-4x+30

So, the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Keywords: Equation of line, slope-intercept form

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

3 0
3 years ago
A farmer plants apple trees on a on a 235-acre farm. There are 47,000 apple trees evenly dispersed throughout the farm. How many
Musya8 [376]

Answer:

There are 200 trees per acre.

Step-by-step explanation:

47000 trees divided by 235 acres gets you 200 trees per acre.

When you go back and check your work, 200 trees per acre times 235 acres equals 47000 trees.

I hope this helps! :)

8 0
3 years ago
Determine whether the variable is qualitative or quantitative.
Oduvanchick [21]

Answer:

Qualitative variable

A. The variable is qualitative because it is an attribute characteristic.

<h2>What are Quantitative and Qualitative variables?</h2>

A qualitative variable is one in which the "true" or naturally occurring levels or categories taken by that variable are not described as numbers but rather by verbal groupings.

  • Example: levels or categories of hair color (black, brown, blond)

A quantitative variable on the other hand are those in which the natural levels take on certain quantities (e.g. price, travel time)

  • That is, quantitative variables are measured in some numerical unit (eg. pesos, minutes, inches, etc.)

<h2>How is hair color a qualitative variable?</h2>

Because hair color is a categorical variable, it is a qualitative variable too. This is because hair color can be put into different categories depending on the color of someone or something's hair. Someone could have blond, brown, or black hair; they might even have red hair. It's all different and are attributed characteristic, they are all put into different categories, but can only be measured statistically while remaining constant (with different amounts).

<h2>What is a numerical variable and what is a categorical variable?</h2>

A categorical variable is a category or type. For example, hair color is a categorical value or hometown is a categorical variable. Species, treatment type, and gender are all categorical variables.

A numerical variable is a variable where the measurement or number has a numerical meaning. For example, total rainfall measured in inches is a numerical value, heart rate is a numerical value, number of cheeseburgers consumed in an hour is a numerical value.

<em>A categorical variable can be expressed as a number for the purpose of statistics, but these numbers do not have the same meaning as a numerical value. </em>For example, if I am studying the effects of three different medications on an illness, I may name the three different medicines, medicine 1, medicine 2, and medicine 3. However, medicine three is not greater, or stronger, or faster than medicine one. These numbers are not meaningful.

Learn more about qualitative and quantitative variables:

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#SPJ2

7 0
2 years ago
you get $2,000 loan at 9% interest rate and pays it back in 6 months. how much intereast will you pay on the loan
notka56 [123]

Answer:

$90

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9%/100 = 0.09 per year,

then, solving our equation

I = 2000 × 0.09 × 0.5 = 90

I = $ 90.00

The simple interest accumulated

on a principal of $ 2,000.00

at a rate of 9% per year

for 0.5 years is $ 90.00.

6 0
3 years ago
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