Please show step by step how to do this (2-step) equation
3x + 6 = 21

Answer:

-5/24

Step-by-step explanation:

find common denominator

8/48 - 18/48 = -10/48

simplified the answer is -5/24

Answer:

-5/24

Step-by-step explanation:

Are you sure you want your answer to be negative? Because if you switch the order, it would be 5/24. Just in case! Good luck and have a great day!

Answer:

The length is 22.1

Step-by-step explanation:

5.2 + 5.2 + 22.1+ 22.1 = 54.6

Answer:

Step-by-step explanation:

Given

PEMDAS is the rule that includes order of operations in the sequence:

In the given expression we have Addition bit of PEMDAS

Answer:

im not sure if this is the answer you wanted hope it helped though

Step-by-step explanation:

Applying the BODMAS rule where B=Brackets ,O=of,D=Division,M=multiplication,

A=Addition,S =subtraction

For any equation in which multiple operation is to be done its depends on the preference of the operation to be performed.

The preference followed is BODMAS

In the above question first multiplication will be performed first and then the addition is performed.

10+10*0+10

10+0+10

Answer is 20

Answer:

D. a car goes 7 feet and then reversed 7 feet.

Step-by-step explanation:

The statement above can be set up in a simple equation.

7 - 7 = 0

This can best represent the equation 10 + (-10) = 0, because they both end up with the same result.

10 + (-10) = 10 - 10 = 0

Answer:

24 miles per gallon

Step-by-step explanation:

Take the numbers of miles and divide by the number of gallons

96 miles / 4 gallons

24 miles per gallon

Answer: Darren is getting 24 miles per gallon. That should be your unit rate.

Answer:

c. 17/2

Step-by-step explanation:

y(1/2 + z) + 6

2 (1/2 + 3/4) + 6

1 + 6/4 + 6

find common denominator

4/4 + 6/4 + 24/4 = 34/4 reduced to 17/2

Answer:

k = 0.25t^2

Step-by-step explanation:

Given the equation :

b = 0.25t

b = number of inches that has burned away

t = time

From our knowledge of variation;

Since candle length will decrease with time ;

b α 1/ t

b = k/t

Where k is the proportionality constant

Comparing the equation :

b = 0.25t

k/t = 0.25t

k = 0.25t^2

Answer: the answer is going to be 9

Answer:

9.4 rounded to the nearest 10th - 9

Step-by-step explanation:

If the tenth in the decimal is 4 or lower, (like 9.4 or 9.3) It would round down to 9, but if it were 5 or higher like (9.5) it would be 10.00 or 10 :)

Answer: Add two circles to the left and a square to the right

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

As we know that

So , we need to find side of square first

Using area of square = Side²

➩ 144 = S²

➩ S = √144

➩ Side = 12 cm

Now ,

➨ Diagonal = √2 ( 12 )

➨ Diagonal of square = 12√2

Given:

Consider the expression is [tex]\sqrt{-12}[/tex].

To find:

The value of given expression.

Solution:

We have,

[tex]\sqrt{-12}[/tex]

It can be written as

[tex]\sqrt{-12}=\sqrt{-1\times 12}[/tex]

[tex]\sqrt{-12}=\sqrt{-1}\times \sqrt{12}[/tex]      [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]\sqrt{-12}=i\times \sqrt{12}[/tex]      [tex][\because \sqrt{-1}=i][/tex]

[tex]\sqrt{-12}=\sqrt{12}i[/tex]

Therefore, the value of given expression is [tex]\sqrt{12}i[/tex].

Note: all options are incorrect.

Answer:

[tex]C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1,z_1) = (1,3,-2)[/tex]

[tex](x_2,y_2,z_2) = (4,5,0)[/tex]

[tex](x_3,y_3,z_3) = (6,3,9)[/tex]

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

[tex]C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))[/tex]

Substitute values of x and y in the given equation

[tex]C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))[/tex]

[tex]C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))[/tex]

[tex]C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})[/tex]

The above is the coordinate of the centroid

Answer:

E

Step-by-step explanation:

I did it on AP Classroom

Answer:

[tex]x=\frac{-9\pm\sqrt{65} }{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

4x² + 9x - 1 = 0

Step 2: Define variables

a = 4

b = 9

c = -1

Step 3: Find roots

Answer: Around 96 people would prefer creamy peanut butter.

Step-by-step explanation:

In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.

Then the relative frequency is:

4/5 = 0.8 prefer creamy peanut butter.

And we can assume that:

1/5 = 0.2 prefer chunky peanut butter.

We also could multiply these numbers by 100% to obtain the percentage forms:

0.8*100% = 80%

0.2*100% = 20%

Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.

Then we can expect that the number of people that prefers creamy peanut butter is:

N = (80%/100%)*120 = 0.8*120 = 96

Around 96 people would prefer creamy peanut butter.

Answer:

128

Step-by-step explanation:

Add the two numbers then subtract from 360

Answer:

The word among the options that may be used for a two column proof includes;

1) Definitions

2) Theorems

3) Postulates

4) Properties

5) "Given"

Step-by-step explanation:

The word among the options that may be used for a two column proof includes;

1) Definitions; Includes the definitions of a geometry, that outlines the relevant properties

2) Theorems; Valid reasoning or conclusion that may not be directly evident in the presentation of the given relationships, but which serve to provide validation to more clearer relationships between the variables

3) Postulates; Previous suggestion or reasoning taken to be the true relationships

4) Properties; Characteristics of a given figure or expression

5) "Given"; Conditions initial stated as those of the properties of the figure or expression

We know that 15 elves represent the 20% of the total.

Since 20% is one-fifth, the total number of elves is

[tex]15\cdot 5 = 75[/tex]

Alternatively, solve the proportion

[tex]15\div x = 20\div 100[/tex]

which yields

[tex]x=\dfrac{1500}{20}=75[/tex]

Answer:

Inequality: 8x+194_>598

Answer:x_>50.2

Step-by-step explanation:

I have delta math! I risked getting the answer wrong for this question lol. But this is correct just!

404 spoons are required for the restaurant for the fill needs.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Let's say the number of sets required = x

Then,

8x will be the total number of spoons.

So,

8x + 194 ≥ 598

8x ≥ 404

x ≥ 50.5

A number of spoon required = 50.5 × 8 = 404 spoons.

Hence "404 spoons are required for the restaurant for the fill needs".

For more about inequality,

brainly.com/question/20383699

#SPJ2

Answer:

8 / 9 miles

Step-by-step explanation:

Given that:

Jason's distance = 1/3 mile

Jane's distance = 2/6 miles

Jude's distance = 2/9 miles

The total miles rowed down the river by all 3 :

(1/3 + 2/6 + 2/9) miles

The L. C. M of the denominator (3, 6, 9) = 18

(6 + 6 + 4) / 18

16 / 18 miles

8 / 9 miles

Answer:

Positive 4

Step-by-step explanation:

I believe this is the same as the problem above.

Factors for 8 => 1, 2, 4, 8

factors for 12 => 1, 2, 3, 4, 6, 12

the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.

Answer:

91+14π

Step-by-step explanation:

The question is incomplete. Find the complete question attached.

From the diagram shown;

It contains 4 quarter circles which is equal to a circle.

Perimeter of a circle = 2πr

r is the radius = length of one side of the square =7

Perimeter of the circle = 2πr

Perimeter of the circle = 2π(7)

Perimeter of the 4 quarter circles = 14π

Also in the diagram, there are 13 sides of the square present.

Perimeter of the squares = 13×length of one side of the square (Sum of all the sides)

Perimeter of the squares = 13×7 =91

Perimeter of the figure = Perimeter of the 4 quarter circles + Perimeter of the squares

Perimeter of the figure = 91+14π

Answer:

The other guy who answered this is wrong

Step-by-step explanation:

Your welcome

Answer:

58

Step-by-step explanation:

follow the pattern. The pattern is to take away 10, for each subsequent number.

Answer:

5/4 since 125/100 = 5/4

Step-by-step explanation: