LITERAL EQUATIONS: A literal equation is one consisting of all letters (or at least mostly letters). The Latin word literalis means "of or belonging to letters or writing," giving the term literal equations its meaning. We can solve literal equations the same way we solve any other equation. We just need to be told which variable (letter) we are solving for. To solve a - 2 = 5 for a, we would add two to each side of the equation. To solve b - r = z for b, we would add r to each side of the equation. What would the resulting solution be ? b = z - r z = b - r r = b - z b = r + z

Answers

Answer 1

Answer:

D. b = r+z

Step-by-step explanation:

Given the expression b-r = z, we are to solve for b. To do this, we will add 'r' to both sides of the equation as shown;

b-r+r = z+r

Since -r+r = 0, substitute:

b+0 = z+r

b = z+r

Hence the resulting equation when r is added to both sides of the equation is b = z+r

Hence option D is correct


Related Questions

The graph represents a functional relationship.

On a coordinate plane, a straight line with a negative slope begins at point (1, 3), crosses the x-axis at (4, 0), and exits the plane at (18, negative 14).

Which value is an input of the function?

–14
–2
0
4

Answers

It can perhaps be b which is ...-2

Answer:

its b) -2

Step-by-step explanation:

i just did it

PLZZZZZ I AM TIMED AND IT IS ON 10 MINUTES

Which tasks are common to all Education and Training career pathways? assessing students on learning and approving budgets communicating with schools and families and enforcing rules that govern behavior teaching students and collaborating with teachers on instructional content developing instructional content for teachers and assessing student learning through exams

Answers

Answer:

Teaching students and collaborating with teachers on instructional content

Step-by-step explanation:

A common task to all Education and Training career pathways is teaching students and collaborating with teachers on instructional content.

What is an Education and Training career pathway?

An Education and Training career pathway refers to the various career paths which people in education and training follow in the field of education and training.

There are various education and training career pathways such as;

early childhood education,educational technology,physical education, etc.

All forms of education and training careers teach students and collaborate with teachers to develop course content.

Therefore, teaching students and collaborating with teachers on instructional content is a common task to all Education and Training career pathways.

Learn more about education and training at: https://brainly.com/question/12427808

write an algebraic expression for each verbal expression ​

Answers

Quotient means to divide
Product means multiply
In case you didn’t know so it will help you next time

Number 17 please. Need to know how to take the info and make it into a slope intercept equation.

Answers

Answer:

y = 5x -15

Step-by-step explanation:

slope/y-int from = y =mx+b

slope = y2-y1/x2-x2

slope = 0--15 / 3-0

slope = 15 / 3

slope = 5

y-int = -15

y = 5x-15

hi ignore this i did the problem wrong :D

Laney bought 1 2/3 pounds of grapes. She also
bought bananas that were
2 1/4 times the weight of
the grapes. How much did the bananas weigh? helppppp

Answers

Answer:

The bananas weigh 3 3/4 pounds.

Answer: 3 3/4

Step-by-step explanation:

All we have to do is multiply the weight of the grapes by 2 1/4.

= 1 2/3 x 2 1/4

= 5/3 x 9/4

= 45/12

= 3 9/12

= 3 3/4

if someone answers these i will give brainlest um anyways i will drop the question right below here. THANK YOU

y= -x - 4
slope of this and y- intercept

y= 3x
slope of this and y- intercept

THANK YOU AGAIN

Answers

1). The slope is -1
2). Slope: 3 y-intercept: (0,0)
Hope this helps!

Answer:

Step-by-step explanation:

The slope is -1!

Btw the y intercept is (0,-4)

Michael has 2 liters of a 10% solution. How much of a 17% solution would he need to add to get a 15% solution?

Answers

Answer:

5 liters

Step-by-step explanation:

Let x represent the number of liters of the 17% solution, and represent the percentages as decimal values:

0.1(2) + (0.17)(x) = 0.15(x + 2)

Simplify:

0.2 + 0.17x = 0.15x + 0.3

Solve for x:

0.17x = 0.15x + 0.1

0.02x = 0.1

x = 5

So, you would need 5 liters of a 17% solution to get a 15% solution

Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per person to at least 10 guests. She found some miniature stuffed animals for $6.00 each and some toy trucks for $4.00 each. Which system of inequalities represents this situation, where x is the number of stuffed animals and y is the number of toy trucks?

Answers

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

help me piz ...........................

Answers

The answer is A. A variable by itself causes the coefficient to be 0.

a car uses 57 liters of gasoline for every 644 kilometers traveled. it takes 8 hours to use all the gasoline in the tank. what is the average speed of the car during the trip?

Answers

Answer:

80.5 kilometers/h

Step-by-step explanation:

S=80.5km/h

D644

T8 hours

The average speed of the car during the trip given the gasoline used per kilometer is 80.50 km/h.

What is the average speed?

Average speed is the total distance travelled per time. It is used to determine the total distance per time.

Average speed = total distance / total time

644 / 8 = 80.50 km/h.

To learn more about average speed, please check: https://brainly.com/question/21734785

Una fracción con denominador 5 entre 0 y 1 ?

Answers

Answer:

1/5, 2/5, 3/5, and 4/5

Step-by-step explanation:

Which expressions are equivalent to 7^-2•7^6

Choose two answers

A.7^2/7^-2

B.7^6/7^-2

C.7^-12

D.(7^2)^2

Answers

2 Answers: Choice A, Choice D

===========================================

Explanation:

The expression 7^(-2)*7^6 simplifies to 7^4

We use the rule a^b*a^c = a^(b+c). In this case a = 7, b = -2, c = 6

In short, we add the exponents.

----------

In choice A, we use the rule (a^b)/(a^c) = a^(b-c) where we're now subtracting the exponents.

Here we have the exponents subtract to b-c = 2-(-2) = 2+2 = 4. This shows that (7^2)/(7^(-2)) = 7^4

This is why choice A is one equivalent expression.

----------

Choice D is the other equivalent expression since

(7^2)^2 = 7^(2*2) = 7^4

The rule used here is (a^b)^c = a^(b*c). We're multiplying exponents now.

-----------

Alternatively you can find that 7^(-2)*7^6 = 2401 through use of a calculator.

Then go through each answer choice to see which also produce a result of 2401.

Warm-Up
Active
Finding the Slope of a Line
What is the slope of a line that contains the points (1
9) and (4, 3)?
10
The slope of the line is
a.5
b. -2
c. 6
d. -3

Answers

The answer is b.) -2

Answer:

slope would be -2

Step-by-step explanation:

slope formula

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]

We know: (1, 9) and (4, 3)

plug in the numbers

[tex] \frac{9 - 3}{1 - 4} [/tex]

subtract

[tex] \frac{6}{ - 3} [/tex]

divide

[tex] - 2[/tex]

Tadaaaa

I need help i'm never good at math :((

Answers

Answer:

The answer is d. (0,-6)

Step-by-step explanation:

An engineer is designing three triangular traffic signs with a computer program. The vertices of Sign A are located at (2, 2) , (2, 12) , and (17, 7) . The vertices of Sign B are located at (4,4),(11, 19) and (18, 4) . The vertices of Sign C are located at (4, 8), (24, 1) , and (24, 15) . Put the signs in order from largest to smallest perimeter. Sign A Sign B Sign C

Answers

Answer:

sign C, sign B, sign A

Step-by-step explanation:

Given the vertices of triangular post A as (2, 2) , (2, 12) , and (17, 7). Let us find the length of side of the post using the formula for calculating distance between 2 points using the formula:

D = √(y₂-y₁)²+(x₂-x₁)²

For the coordinate (2, 2) , (2, 12)

S₁ = √(12-2)²+(2-2)²

S₁ = √(10)²+(0)²

S₁ = √100

S₁ = 10

For the coordinate (2, 2) , (17, 7)

S₂ = √(7-2)²+(17-2)²

S₂ = √(5)²+(15)²

S₂ = √25+225

S₂ = √250

S₂ = 15.8

For the coordinate (2, 12) , (17, 7)

S₃ = √(7-12)²+(17-2)²

S₃ = √(-5)²+(15)²

S₃ = √25+225

S₃ = √250

S₃ = 15.8

Perimeter of sign A = S₁+S₂+S₃

Perimeter of sign A = 10+15.8+15.8

Perimeter of sign A = 41.6

FOR SIGN B with coordinate of vertices (4,4),(11, 19) and (18, 4)

For the coordinate (4, 4) , (11, 19)

S₁ = √(19-4)²+(11-4)²

S₁ = √(15)²+(7)²

S₁ = √225+49

S₁ = 16.6

For the coordinate (4, 4) , (18, 4)

S₂ = √(4-4)²+(18-4)²

S₂ = √(0)²+(14)²

S₂ = √196

S₂ = 14

For the coordinate (11, 19) , (18, 4)

S₃ = √(4-19)²+(18-11)²

S₃ = √(-15)²+(7)²

S₃ = √225+49

S₃ = 16.6

Perimeter of sign B = S₁+S₂+S₃

Perimeter of sign B = 14+16.6+16.6

Perimeter of sign B = 47.2

FOR SIGN C with coordinate of vertices (4, 8), (24, 1) , and (24, 15)

For the coordinate (4, 8) , (24, 1)

S₁ = √(1-8)²+(24-4)²

S₁ = √(-7)²+(20)²

S₁ = √49+400

S₁ = 21.2

For the coordinate (4, 8) , (24, 15)

S₂ = √(15-8)²+(24-4)²

S₂ = √(7)²+(20)²

S₂ = √49+400

S₂ = 21.2

For the coordinate (24, 1) , (24, 15)

S₃ = √(15-1)²+(24-24)²

S₃ = √(14)²+(0)²

S₃ = √196+0

S₃ = 14

Perimeter of sign C = S₁+S₂+S₃

Perimeter of sign C = 14+21.2+21.2

Perimeter of sign C = 56.4

Arranging in order from largest to smallest perimeter, Sign C(56.4), Sign B (47.2), sign A (41.6)

which point is the image of P​

Answers

Answer:

A

Step-by-step explanation:

we know that xoy is 90° on every quadrant

also the origine where p start is a little bit down from x axis so A is the right answer as it is the most logical point

D and C cant be P because are a very large angle of rotation than 105.B is smaller then 105 rotation of p so A is the right one.

find f (-2), f(0), and f(3)

Answers

Answer:

f en el chat box

Step-by-step explanation:

is the expression 5x-3(2x-4)is equiva
lent to the expression 12-x

Answers

Answer:

the answer is im in college and wait nope im in middle school cant help sorry

Step-by-step explanation:

you need help ask a teacher thank you

Answer:

Yes. They are equal.

Step-by-step explanation:

Let's simplify 5x-3(2x-4)

5x-3(2x-4)

5x-6x-12 (distribute)

-x+12

-x+12 and 12-x is the same thing just reversed.

so they are equal.

hope this helps

brainliest?

What is the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

This uses the altitude on hypotenuse theorem

The 2 triangles formed are similar to the given triangle and to each other.

Δ ADB ~ Δ BDC

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{DB}{DC}[/tex] = [tex]\frac{AD}{BD}[/tex] , substitute values

[tex]\frac{10}{4x}[/tex] = [tex]\frac{x}{10}[/tex] ( cross- multiply )

4x² = 100 ( divide both sides by 4 )

x² = 25 ( take the square root of both sides )

x = [tex]\sqrt{25}[/tex] = 5

The length of a rectangle is 6 inches longer than the width. The perimeter of the rectangle is eight times the width. What is the width of the rectangle?

Answers

L = w+6
Perimeter = L + W
Substitute eqn 1 into 2
Perimeter = 2W + 6
Perimeter also = 8w
8w = 2W + 6
6w = 6
W = 1

Answer:

The width is 3 inches.

Step-by-step explanation:

First, let's identify our variables.

L=Length

W=Width

P=Perimeter

P=2W+2L

We know that L=W+6

We can substitute L for W+6, and we can substitute P for 8W, which gives us the equation:

8W=2W+2(w+6)

If you go through all the steps to isolate the variable W, you'll end up with W=3

The class can contain at most 28 students.

Answers

28


Bcdfghhfghhfd




28 :)

The 2013-14 roster of the Seattle Seahawks, winners of the 2014 NFL Super Bowl, included 10 defensive linemen and 9 offensive linemen. (Data set may be found here.) The weights in pounds of the defensive linemen were 254 311 297 323 260 242 300 252 303 274 and the weights of the offensive linemen were 310 315 305 318 298 301 321 332 320 (a) Make a back to back stemplot of the weights of the offensive and defensive linemen. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Find the five-number summary for the offensive line. (Enter your answers to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (b) Find the five-number summary for the defensive line. (Enter your answer to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (c) Which group of players tends to be heavier? Offensive Defensive

Answers

Answer:

Step-by-step explanation:

The weights in pounds of the defensive linemen were :

254,311, 297, 323, 260, 242, 300, 252, 303, 274

Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323

The weights in pounds of the offensive linemen were :

310 ,315, 305, 318, 298, 301, 321, 332, 320

Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332

a)

Offensive line       Stem        Defensive line

                               24     |            2

                               25     |            2 , 4

                               26     |            0

                               27     |            4

         8             |      29     |           7

      1,5              |      30     |           0,3

     0,5,8           |      31      |           1

     0,1               |      32     |           3

      2                |      33     |

Five number summary of offensive line:

1) minimum: 298

2) maximum: 332

3)

Lower quartile:298 ,301 ,305 ,310

Q1 is the median of lower quartile

[tex]Q1=\frac{301+305}{2}=303[/tex]

4)

Upper quartile:318 ,320 ,321 ,332

Q3 is the median of upper quartile

[tex]Q3=\frac{320+321}{2}=320.5[/tex]

5)

Q2 is the median

 298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332

Mid value =[tex]\frac{9+1}{2}[/tex]=5th term = 315

Q2=315

Five number summary of defensive line:

1) minimum: 242

2) maximum: 323

3)

Lower quartile:242 ,252 ,254 ,260 ,274

Q1 is the median of lower quartile

Q1=254

4)

Upper quartile:297 ,300 ,303 ,311 ,323

Q3 is the median of upper quartile

Q3=303

5)

Q2 is the median

 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323

Mid value =\frac{274+297}{2}=285.5

Q2=285.5

c) Mean weight of offensive line = [tex]\frac{298+301+305+310+315+318+320+321+332}{9}=313.33[/tex]

Mean weight of defensive line = [tex]\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6[/tex]

Mean weight of offensive line is more

So, Offensive group of players tends to be heavier

How do you solve 2+x=-7

Answers

Answer:

x = -9

Step-by-step explanation:

Step 1: Write equation

2 + x = -7

Step 2: Solve for x

Subtract 2 on both sides: x = -9

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 2 - 9 = -7Subtract: -7 = -7
In order to solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation. In our example,
- term 2, will be moved to the right side.
Notice that a term changes sign when it 'moves' from one side of the equation to the other.
Therefore, the answer is x=-9

What is the answer to this question?

Answers

Bottom left
I might be wrong

Answer:

Multiple 234 denomitor to that

Step-by-step explanation:

!!!!

Pls someone help it’s my last question

Answers

Answer:

A

Step-by-step explanation:

42-34=8

3/4

6/8-1/8=5/8

8+5/8= 8 5/8

Answer:

A) 8 [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

The product of two negative rational numbers is
zero.

Answers

idjokrnjkrkkrididudhdhhdeuu. duidjfhhdiid

Answer:

False

Step-by-step explanation:

This statement is false. If you multiply two negative rational numbers together, say -8 and -7, you get 56. In fact, you cannot multiply any two negative rational numbers and get zero.

2x – 2 7
how do i graph this?

Answers

I need more info that’s not

tabulate the of value x and y. i don't y so if u hv it in the question then u put maybe when x=0 then find value of y and all intergers near zero of ur choice in the x value.

eg x= -1, find value of y

after draw the x,y plane and graph ur answers.

How can we re-write the expression below into ""friendlier"" terms? 6 ∙ 29

Answers

Answer:

A. 6 ∙ (30 - 1)

Step-by-step explanation:

How can we re-write the expression below into “friendlier” terms? 6 ∙ 29

options:

A. 6 ∙ (30 - 1)

B. 6 ∙ (16 + 13)

C. 6 ∙ (19 + 10)

D. 6 ∙ (21 + 8)

Re-writing an expression in friendlier term means expressing the term using numbers that are closest to the expression.

Checking all options,

A. 6 ∙ (30 - 1)

Option A seems closer to 6 ∙ 29 because, 30 - 1 which is very easy to evaluate gives 29

Moreover, 29 is very close to 30

Compared to other options, which have values that requires more thinking in evaluation

Can anyone explain how to do multiplicative inverse? im in 8th grade btw... please give an example and explain. I will mark you the brainliest pleaseee

Answers

Answer:

i dont get it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiplicative inverse is the reciprocal of a number.

Example:

15 x ? =1

The reciprocal of 15 is 1/15 therefore,

15 x 1/15 =1

You would cross cancel the 15 integers. Leaving 1 on bothsidea

If 3m - n = 11, then m =

Answers

Answer:

n= -2 and m=3

Step-by-step explanation:

3 x 3= 9

11- 9 = 2

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