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

Emilio is helping his uncle with some chores. His unde gave him $5 and will pay him an additional $3 for each chore he completes. Which inequality can be used to
determine x, the number of chores Emilio must complete to earn at least $26?
A. 3.1 +5 > 26
B. 3.3 +5 < 26
C. 3.3 + 5 > 26
D. 3x +5 < 26

Answers

Answer:

the correct option is B

I hope my answer is helpful to you

please give me five star rating

24 divided by 7872

PLEASE HELP

Answers

Answer:

328 IF its 7,872 divided 24. If it 7,872 divided by 24 then it's 0.00304878049

Step-by-step explanation: Please mark as brainlest i really need to keep me motivated.

Shari is planning a 450-mi car trip. Her car can travel about 39 mi on a gallon of gasoline. Gasoline costs $1.89/gal. About how much will the gas cost for her trip?

Answers

Well she would need about 11.5 gallons of gas times 1.89 is $21.73 hope this helps

2,3,5,7,11,13 conjecture

Answers

Answer:

The primes up to 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47. The sequence of gaps—the differences between each prime and the next—is 1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2 and 4. The number 1 appears only once because all primes except for 2 are odd. The rest of the gaps are even numbers.

The conjecture which could be inferred from the sequence is that it is a list of prime numbers.

From the sequence given : 2, 3, 5, 7, 11, 13

All values in the sequence are prime numbers.

Prime numbers are numbers which have only two divisors which are 1 and the number itself.

Divisors of :

2 = 1 and 2

3 = 1 and 3

5 = 1 and 5

7 = 1 and 7

11 = 1 and 11

13 = 1 and 13

Hence, the conjecture which could be inferred from the sequence is that, the numbers are prime numbers.

Learn more : https://brainly.com/question/9315685

1. Find the values of the
angles x, y and z.
40°
25°
z
у​

Answers

Answer:

z = 40° (V. O. A)

Now find x

40 + 25 + x = 180(A. S. P)

65 + x = 180

x = 180 - 65

x = 115°

Now find y

x = y (V. O. A)

Y = 115°

So angles are

X = 115°

Y = 115°

Z = 40°

Hope this helps, have a great day, have a wonderful weekend and stay safe!

Also Happy Halloween! :) :D :3

What does it mean to "cite textual evidence from paired passages"?

Answers

Look for evidence stating your claim

Select the Standard Form equation for the circle below. *
x² + y2 + 8x – 2y – 64 = 0

Answers

it would be option 2.

hellllppppp me please

Answers

The answer is positive infinity

9514 1404 393

Answer:

positive infinitynegative infinity

Step-by-step explanation:

The function has a positive leading coefficient (1/3) and is of odd degree (3). These conditions mean the sign of the end behavior of the function will match the sign of x.

  x → ∞, m(x) → ∞

  x → -∞, m(x) → -∞

Plssss help me :( ASAP

Answers

What are we supposed to be doing

(Click on the photo and the 60 and 90 is the rest of the window picture shown.)
Please help!!

Answers

Answer:

kind of an estimate but it is probably 220cm, if not then its 175cm, couldn't really see the bottom part of the window

Step-by-step explanation:

This is the equation and we need to solve for y 2x+y=7

Answers

Answer: y = -2x + 7

Step-by-step explanation:

Answer:

y= -2x+7

Step-by-step explanation:

We need to keep y on one side of the equation.

2x+y= 7

=2x     -2x

y= -2x+7

Hope this helps!

Cherries are on sale at the grocery store at a price of $5 for 2 pounds. Oscar buys 3
pounds. If he is charged the sale price for the cherries, how much will Oscar pay?

Answers

Answer:

$7.5 = 3 pounds

Step-by-step explanation:

1. If $5 is equal to 2 pounds of cherries, you want to find what 1 pound of cherries cost. You should divided 5 by 2 and 2 by 2 to find what 1 pound of cherries cot.

2. That means that 1 pound of cherries cost $2.5.

3. Now we want to find how much money 3 pounds cost, so you should multiply the 2.5 and the 1 by 3.

4. Now that gets you to $7.5 for 3 pounds of cherries.s

i need help pleaseeee.

Answers

Answer:

problem 9

x is 45 and y is 20

problem 10

x is 20 and y is 10

problem 11

x is 13 and y is 12

Answer:

Step-by-step explanation:

1. If x+ 2 = 7, then x=5.
Converse:
Inverse:
Contrapositive:

Answers

Answer:

Converse: if 5=x then x+2=7

Inverse: if x+2 doesnt = 7 then x isnt 5

Contrapositive: if x doesnt equal five then x plus two doesnt equal seven

Step-by-step explanation:

We just did this last week :)

what they said is right :) lol gj hope u passed it so good job!

Can somebody plz answer all of these right thx!!!<3
(Only if u remember)
WILL MARK BRAINLIEST !

Answers

Answer:

+4 < +6-2 > -3+2 >  -1-11 < -8-2 < +6+9 > +8

Tamar used the algebraic method to convert the repeating decimal number to 2.45 to a fraction. Her first two steps are shown below. Step 1: x=2.45. Step 2: 100x=245.45. What should be Tamar’s next step

Answers

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x = 2.4545... → (1)

100x = 245.4545... → (2)

Subtract (1) from (2) eliminating the repeating decimal

99x = 243 ( divide both sides by 99 )

x = [tex]\frac{243}{99}[/tex]

Solve the equation by factoring 2x^2+x-6=0

Answers

Answer:

Step-by-step explanation:

Use the quadratic formula

=

±

2

4

2

x

=

b

±

b

2

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

6

=

0

2

x

2

+

x

6

=

0

2x2+x−6=0

=

2

a

=

2

a=2

=

1

b

=

1

b=1

=

6

c

=

6

c=−6

=

1

±

1

2

4

2

(

6

)

2

2

x

=

1

±

1

2

4

2

(

6

)

2

2

x=2⋅2−1±12−4⋅2(−6)​​

Answer:

x = - 2, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

2x² + x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )

2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Name the same side interior angle with angle 6

Answers

Answer:

try 5 or 3, half of 6 is 3 may be the same angle

Andrea receives a $40 gift card to use at a town pool. It costs her $8 per visit to swim. A
function relating the value of the gift card, v, to the number of visits, n, is v(n) = 40 - 8n.
a. Identify a reasonable domain of the function. Explain why you chose that
domain. (What are reasonable times to visit the pool?)
b. Given that domain, what is the range of the function?

Answers

Answer:

The value of the gift card = v = $40

The visit to the skate cost = $8

The number of visits = n

∴ n = the value of the gift card over the cost of one visit to the skate

∴ n = v/8 = 40/8 = 5

Step-by-step explanation:

The general function for relating the value of the gift card, v, in terms if the number of visits, n. ⇒⇒⇒   v = 8n

Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and \$0.08$0.08dollar sign, 0, point, 08 per ball. The field has a promotion that says, "Get \$10$10dollar sign, 10 off if you spend \$75$75dollar sign, 75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.

Let BBB represent the number of paintballs that Carolina buys.

1) Which inequality describes this scenario?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

18+0.08B \leq 7518+0.08B≤7518, plus, 0, point, 08, B, is less than or equal to, 75


(Choice B)

B

18+0.08B \geq 7518+0.08B≥7518, plus, 0, point, 08, B, is greater than or equal to, 75


(Choice C)

C

18+0.08B \leq 1018+0.08B≤1018, plus, 0, point, 08, B, is less than or equal to, 10


(Choice D)

D

18+0.08B \geq 1018+0.08B≥10

Answers

Answer:

carolina needs to buy at least 713 paintballs to get $10 off

Step-by-step explanation:

Entrance fee = $18

Fee per ball = $0.08

The field has a promotion that says, "Get $10 off if you spend $75 or more"

Let B represent the number of paintballs that Carolina buys.

18 + 0.08B ≥ 75

Subtract 18 from both sides

0.08B ≥ 75 - 18

0.08B ≥ 57

Divide both sides by 0.08

B ≥ 57 / 0.08

B ≥ 712.5

Approximately

B ≥ 713

carolina needs to buy at least 713 paintballs to get $10 off

Identify an equation in point-slope form for the line perpendicular to
y=-1x +11 that passes through (4, -8).
O A. y +8 = 2(x-4)
B. y - 4 = 2(x+8)
O C. y+8 = {(x-
-4)
O D. 7-8 = {(x + 4)

Answers

Answer:

C

Step-by-step explanation:

Perpendicular lines have the exact opposite slope of the other equation.

So the slope will be x or 1x. Plug in

-8 = 1(4) + b (b represents y-intercept) like y=mx+b

-8 = 4 + b (subtract 4 on both sides)

-12 = b

The equation is y = x - 12

C

solve

y + 8 = x - 4 (subtract 8 on both sides)

y = x - 12

HELP PLEASE!!! ASAP PLS!!

Answers

The answer is negative

Which equation best represents the linear function graphed below? CAN YOU BE REALLY QUICKLY THIS IS A MAJOR GRADE AND I ONLY HAVE 90 MINUTES

Answers

Answer:

y+1= 1/4(x-4)

Step-by-step explanation:

y+1 = 1/4(x-4)

y+1 = 1/4x-1

y = 1/4x -2 -which is the equation of the line

You take a cab to a restaurant. The final bill of $31.72 included an 18% tip for the driver. What was the original bill?

Answers

18% of 31.72=5.7096, 31.72-5.7096=26.0104, so $26.01 is the original bill’s cost.

How do similarities and dilations relate to slope

Answers

Answer:

Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.

Step-by-step explanation:

Write the equation of the line in point-slope form with a slope of 5/2 and passing through the point (0,1).

Answers

Answer:

y = 5/2x + 1

Step-by-step explanation:

you are given (0,1) which means that the y intercept is 1.

Subsitute values in a linear equation:

y = mx + b

y = 5/2x + 1

help me with this geooo

Answers

Answer:

If angle A is not acute, then the m angle A is not equal to 20

(3rd choice)

Write the equation in slope intercept form for the following graph.

Please help.?

Answers

Answer: y=Mx+b

so y=-2/3x+5

Step-by-step explanation:

slope you go down 2 right 3, y int is (0,5)

I don’t understand how do you do this I have a assignment for tommorow some one help

Answers

Answer:

500 ML

Step-by-step explanation:

for every 1 liter, it is 1,000ML

so 1 L / 2 is 500ML

and 500 on your beaker is located in between 600 and 400

Hope this helps :)

The answer would be 500 mL

Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y=-0.02(x-18)^2+12​, where x is the​ ball's horizontal distance in feet from​ Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum​ height? Explain. b. Describe how you would find the​ ball's height when it crosses the net at x=30. a. How far away is the ball from Amaya when it is at its maximum​ height? Explain. The ball is nothing ft away from Amaya when it is at its maximum height. Use the ▼ y-coordinate x-coordinate of the vertex.

Answers

Answer:

a) 30feet

b) 9.12feet

Step-by-step explanation:

a) Given the path of the ball is modeled by the equation y=-0.02(x-18)²+12​, where;

x is the​ ball's horizontal distance in feet from​ Amaya's position

y is the distance in feet from the ground to the ball.

The ball will be at the maximum height when dy/dx = 0

Differentiate the function:

dy/dx = 2(-0.02)(x-18)^(2-1)+0

dy/dx = -0.04(x-18)

Equate the resulting expression to zero and find x as shown;

-0.04(x-18) = 0

Open the parentheses

-0.04x+0.04(18) = 0

-0.04x+0.72 =0

-0.04x = -0.72

x = -0.72/-0.04

x = 18ft

Hence the ball is 18ft away from Amaya when it is at its maximum height

b) To get the balls height y when x = 30, we will substitute x = 30 into the equation given and calculate the value of y as shown:

y=-0.02(x-18)²+12

y = -0.02(30-18)²+12

y= -0.02(12)²+12

y = -0.02(144)+12

y = -2.88+12

y = 9.12 feet

Hence the Ball's height is 9.12feet when it crosses the net at x = 30.

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