Solving and Simplifying Equations
5r = -3(r +3) +7

Answers

Answer 1

Answer:

-2/8

Step-by-step explanation:

-3r-9+7=5r

-2=5r+3r

r=-2/8

hope this helped you( ꈍᴗꈍ)

Answer 2

Answer:

r = -1/4

Step-by-step explanation:

5r = -3(r + 3) +7

multiplying -3 with r + 3

5r = -3r - 9 +7

taking -3r on the other side of equality sign

5r + 3r = -9 + 7

8r = -2

dividing 8 by -2

r = -2/8

simplifying -2/8

r = -1/4


Related Questions

Zero equals two-thirds a number decreased by twelve?

Answers

Answer:

X= 12 or 18 (see below)

Step-by-step explanation:

This could be read two different ways.

0=2/3x-12

12=2/3x

12÷2/3=x

12*3/2=x

18=x

—-OR—-

0=2/3(x-12)

0=2/3x-8

8=2/3x

8÷2/3=x

8*3/2=x

12=x

Why did I get this question wrong?

Answers

Answer:

9.25

Step-by-step explanation:

M₄ means the area using 4 rectangles with heights equal to the function evaluated at the midpoints.

The width of each rectangle is (4−0)/4 = 1.

The area of each rectangle is:

M₁ = (1) (1.12) = 1.12

M₂ = (1) (1.80) = 1.80

M₃ = (1) (2.69) = 2.69

M₄ = (1) (3.64) = 3.64

The total area is therefore:

M = 1.12 + 1.80 + 2.69 + 3.64

M = 9.25

Twice a number increased by three times the number?

Answers

this is the answer

Step-by-step explanation:

2x+3

Answer:

2x+3x

Step-by-step explanation:

Lydia owns a food truck that sells tacos and burritos. She only has enough supplies to make 115 tacos or burritos. She sells each taco for $4 and each burrito for $6.75. Lydia must sell at least $680 worth of tacos and burritos each day. If 32 tacos were sold, determine the minimum number of burritos that the Lydia must sell in order to meet the requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

Lydia must sell 552 burritos

Step-by-step explanation:

552 burritos . Hope it’s helps ...!!!

answer reeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

36 and 49

Step-by-step explanation:

6x6 and 7x7

Lisa purchased a hat for $10, a purse for $20, and a book for $23. The sales tax rate was 7.2 percent. What was the total amount she paid?

Answers

Answer:

$56.82

Step-by-step explanation:

The sum of all the stuff she bought is 10+20+23, so 53.

Now you need to find the tax, so you multiply 53 x 7.2%, and to change a % to a number you move the decimal place two to the left, so you get .072

$53 x .072 = $3.816 sales tax

$53 for the stuff plus $3.816 tax = $56.816

and since money is only two decimal places and the 6 is higher than 5, you have to round up to the nearest penny, so $56.82!

Answer:

56.81$ she paid

Step-by-step explanation:

When finding all the roots of polynomials, how do you find the possible rational zeros to know which numbers you plug back into the function to get the number you synthetically divide by?

Answers

Answer:

You would have to break the polynomial down into smaller binomials or monomials. Take x^2-6x-9 for instance. It would break down into (x+3)(x-3) through the a^2+2ab+b^2 formula. After that set the two nomials equal to zero and solve for x. After that, you would plug back in x to see whatever x works. You may more than two nomials after breaking it apart so keep that in mind.

ILL GIVE YOU BRAINLIST !!

Nick's mom gave him $10 allowance. His little sister was given $4 less than Nick. Write an expression for the amount that Nick's little sister was given

Answers

Answer:

Let x be the amount Nick's little sister is given.

x = 10 - 4

The sum of five times a number, and 1, is equal to four times the number
I need help with the
translation part!

Answers

Answer:

5x + 1 = 4x

You can really put any letter for "a number":

5n + 1 = 4n

Find the slope of the given line, if it is defined. 2x + 1 = 0

Answers

Given :

A line 2x + 1 =0 .

To Find :

The slope of the given line .

Solution :

We know , slope of line is given by the tangent of the angle between the x-axis and the line .

Now, for line 2x + 1 =0 i.e [tex]x=\dfrac{-1}{2}[/tex] .

The line is perpendicular to x-axis and cuts the x-axis at [tex]\dfrac{-1}{2}[/tex] .

Therefore , the angle between the line and x-axis is [tex]90^o[/tex] .

So , slope [tex]m=\tan\ 90^o[/tex] i.e undefined .

Therefore , the slope of given line is not defined .

Hence , this is the required solution .

Write the equation of the line with slope = -3 and passes through (2,7)

Answers

Answer:

Step-by-step explanation:

y - 7 = -3(x - 2)

y - 7 = -3x + 6

y = -3x + 13

The sphere weighs 4 pounds. sorry no picture but you can ask me for it in the comments What is the weight of the cylinder? What is the weight of the cube?

Answers

Answer:

The weight is 4 pounds :D

Step-by-step explanation:

Which pair of expressions have equivalent values?

Answers

Answer:

5 + y - 2 - 6 y + y; 8 y + 3

Step-by-step explanation:

Rewrite the following expression as a single logarithm: log7(x2+5x−14)−log7(x+7)

Answers

Answer:

log7(x-2)

Step-by-step explanation:

Use of property: log(ab) = log(a) + log(b)

log7(x²+5x−14)−log7(x+7)  = log7(x+7)(x-2) - log7(x+7) =log7(x+7) + log7(x-2) - log7(x+7) = log7(x-2)

Study the example on the right to help you complete the problem below. please help!:(

Answers

Answer : The equation for 'h' is [tex]h=\frac{2A}{b}[/tex]

Step-by-step explanation :

The given equation is:

[tex]A=\frac{1}{2}bh[/tex]

Now we have to determine the equation for 'h'.

[tex]A=\frac{1}{2}bh[/tex]

Multiplying the equation by 2.

[tex]2\times A=2\times \frac{1}{2}\times bh[/tex]

on simplifying, we get:

[tex]2\times A=bh[/tex]

Dividing the equation by 'b'.

[tex]\frac{2\times A}{b}=\frac{bh}{b}[/tex]

[tex]\frac{2\times A}{b}=h[/tex]

or,

[tex]h=\frac{2A}{b}[/tex]

Therefore, the equation for 'h' is [tex]h=\frac{2A}{b}[/tex]

Answer: B

Step-by-step explanation:

if x+y = 10
and xy 21
find 2(x² + y ² )

Answers

Answer:

158

Step-by-step explanation:

2(x square + y square)

2 (X+y) square -2 xy

2(10) square -2(21)

2×100-42

200-42

=158

help please



pleaseeee i dont understand


:(

Answers

#1
Irrational numbers are numbers with infinite decimals values that are not repeating (ex. Pi 3.14159265....). Whole numbers don’t have decimal values in the first place, so all whole numbers are therefore rational.

Keep in mind that just because a number has decimal values doesn’t mean it’s irrational (ex. 4.5 is a rational number). It needs to have infinite non-repeating decimal values to be irrational.

35 out of 14 is what percentage

Answers

Answer:

40% is the answer. Hope this helped you

Answer:

The answer is 40%

Hope this answeris helpful...

Hope this answeris helpful...Make me as brainliest.....

Mark made a business trip of 259.5 miles. He averaged 59 mph for the first part of the trip and 57 mph for the second part. If the trip took 4.5 hours, how long did he
travel at each rate?

Answers

Answer: He spends 1.5 hours on the first part of trip and 3 hours on the second part of trip

Step-by-step explanation:

Let x = the number of hours for first part

Let y = the number of hours for second part

Concept: speed × time = distance

----------------------------------------------------------------

x+y=4.5

59x+57y=259.5

-----

y=4.5-x

59x+57y=259.5

-----

59x+57(4.5-x)=259.5

59x+256.5-57x=259.5

2x+256.5=259.5

2x=3

x=1.5

4.5-1.5=3 hrs

67.9 is ten times as much as what number?
A. 6.79
B. 6,790
C. 607.9
D. 6.7

Answers

Answer:

6.79

Step-by-step explanation:

6.79 x 10 = 67.9

The unknown number z would be 6.79

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that 67.9 is ten times as much as unknown number;

Let the unknown number be z;

Z x 10 = 67.9

Now divide by 10 on both sides, we get;

Z = 67.9/10

Z = 6.79

Therefore,

6.79 x 10 = 67.9

Hence, the unknown number z would be 6.79

Learn more about the unitary method;

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Simplify 0.5x-2y > 3

Answers

I will assume you want it in the form of y>mx+b

0.5x-2y>3

0.5x-3>2y

0.25x-1.5>y

Answer:

[tex]x>4y+6[/tex]

Step-by-step explanation:

[tex]0.5x-2y>3[/tex]

First, we will have to add 2 to both sides.

[tex]0.5x-2y+2y>3+2y[/tex]

This equals to

[tex]0.5x>2y+3[/tex]

Now, we will make this into a fraction and divide. We will divide by 0.5.

[tex]\frac{0.5x}{0.5} >\frac{2y+3}{0.5}[/tex]

Now that we divided, we got our answer!

[tex]x>4y+6[/tex]

Hope this helps!

Divide rs 21000 between Nisha and Nishan so that Nisha gets double than Nishan

Answers

let the nisha be x and nishan be y

Step-by-step explanation:

ATQ

your statement is x=2y

Derive the positive square root of 982081

Answers

Answer: 991

square root of 982081 hope this helps

Find the equation of the tangent line to the curve at the given point?
y = x cot(x) at the point with x-coordinate= π/4

Answers

Answer:

The equation of the tangent line

[tex]y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )[/tex]

Step-by-step explanation:

Step(i):-

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

[tex]\frac{dy}{dx} = x (-Co sec^{2} (x)) +cot(x) (1)[/tex]

Step(ii):-

The slope of the tangent line

[tex]\frac{d y}{d x} = -x Co-sec^{2} (x) +cot x[/tex]

[tex](\frac{d y}{d x} )x_{=\frac{\pi }{4} } = -\frac{\pi }{4} Co-sec^{2} (\frac{\pi }{4} ) +cot \frac{\pi }{4}[/tex]

We will use trigonometry formulas

[tex]Cosec(\frac{\pi }{4} ) = \sqrt{2}[/tex]

[tex]sec(\frac{\pi }{4} ) = \sqrt{2}[/tex]

[tex]Cot(\frac{\pi }{4} ) = 1[/tex]

Now the slope of the tangent

[tex]\frac{dy}{dx} =-\frac{\pi }{4} (\sqrt{2})^{2} )+1[/tex]

[tex]\frac{dy}{dx} =-\frac{\pi }{2} +1[/tex]

Step(iii):-

Given

Substitute [tex]x=\frac{\pi }{4}[/tex] in y = x cot (x)

               [tex]y = \frac{\pi }{4} cot (\frac{\pi }{4} )[/tex]

              [tex]y = \frac{\pi }{4}[/tex]

The point of the tangent line  [tex](x ,y ) = (\frac{\pi }{4} , \frac{\pi }{4} )[/tex]

The equation of the tangent line

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

[tex]y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )[/tex]

Your favorite dog groomer charges according to your dog’s weight. If your dog is 15 pounds and under, the groomer charges $35. If your dog is between 15 and 40 pounds, she charges $40. If your dog is over 40 pounds, she charges $40, plus an additional $2 for each pound over 40 pounds.

A. Write a piecewise function for the cost of a dog grooming based on the number of pounds at this grooming salon.


B. Sasha weighs 30 pounds, Link weighs 15 pounds, and their friend Bailey weighs 85 pounds. How much will it cost them all together to get groomed?

Answers

Answer:

it would cost them $100

Answer:

it would cost them $100

Step-by-step explanation:

Select all that apply which expressions are equivalent to 6X +12
(A) 6(x+12)
(B) x(6+12)
(C) 3(2x+4)
(D) 2(3x+6)
(E) 6(x + 2)

Answers

C,D, and E are the answers.

3(2x+4),  2(3x+6) and 6(x + 2) are the expressions are equivalent to 6X +12

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 6X +12

We have to find the equivalent expressions of 6x+12

Let us take 6 as a common factor we get

6(x+2)

so 6(x+2)  is equivalent expression of 6X +12

Now let us take 3 as common factor

3(2x+4)

so 3(2x+4)  is equivalent expression of 6X +12

Now let us take 2 as common factor

2(3x+6)

so 2(3x+6)  is equivalent expression of 6X +12

Hence,  3(2x+4),  2(3x+6) and 6(x + 2) are the expressions are equivalent to 6X +12

To learn more on Expressions click:

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Select all that apply.
Which expressions are equivalent to 6x +18?
6(2+3)
3(2x + 6)
2 (32 +9)
6(x + 18)
3(x+6)

Answers

3(2x+6) , 6(x+18) is the corrects answers!
Hope this helps!

The expression equivalent to 6x + 18 is 3(2x + 6) thus option (B) is correct.

What is an expression?

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.

Expression is very useful to determine the end or root value of constraint.

As per the given,

6x + 18

Take 3 as common,

3(2x + 6)

Hence "The expression equivalent to 6x + 18 is 3(2x + 6)".

To learn more about expression,

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Diego and Anya live 72 miles apart. They both meet at
their favorite restaurant, which is (16x – 3) miles from
Diego's house and (5x + 2) miles from Anya's house.
Diego argues that in a straight line distance, the restaurant
is halfway between his house and Anya's house. Is Diego
right? Justify your reasoning.

Answers

Answer:

The restaurant is not at half way

Step-by-step explanation:

Given

[tex]Total\ Distance = 72[/tex]

[tex]Diego = 16x - 3[/tex]

[tex]Anya = 5x + 2[/tex]

Required

Accept or reject Diego's claim

To do that, we need to determine the value of x by:

Diego + Anya =Total Distance

Substitute values for each parameter

[tex]16x - 3 + 5x + 2 = 72[/tex]

Collect Like Terms

[tex]16x + 5x = 72 + 3 - 2[/tex]

[tex]21x = 73[/tex]

Divide both sides by 21

[tex]x = \frac{73}{21}[/tex]

Substitute the value of x in Diego and Anya's distance

[tex]Diego = 16x - 3[/tex]

[tex]Diego = 16 * \frac{73}{21} - 3[/tex]

[tex]Diego = \frac{1168}{21} - 3[/tex]

[tex]Diego = \frac{1168 - 63}{21}[/tex]

[tex]Diego = \frac{1105}{21}[/tex]

[tex]Diego = 52\frac{13}{21}[/tex]

[tex]Anya = 5x + 2[/tex]

[tex]Anya = 5 * \frac{73}{21} + 2[/tex]

[tex]Anya = \frac{365}{21} + 2[/tex]

[tex]Anya = \frac{365 + 42}{21}[/tex]

[tex]Anya = \frac{407}{21}[/tex]

[tex]Anya = 19\frac{8}{21}[/tex]

Since, both distances are not equal,

Then Diego's claim is false and incorrect

Evaluate the expression when a=-7. a^2+4a-2

Answers

Plug in the value to solve the expression.

[tex](-7)^2+4(-7)-2[/tex]

[tex]49-28-2[/tex]

[tex]19[/tex]

Hope this helps.

頑張って!

Hey there!

a^2 + 4a - 2

= -7^2 + 4(-7) - 2

= -49 - 28 - 2

= -77 - 2

= -79

Therefore, your answer is: -79

Therefore, your answer is: -79

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

What number should be placed in the box to help complete the division calculation?
(Long division setup showing an incomplete calculation). 13 is in the divisor, 4231 is in the dividend, and 3 hundreds and 2 tens is written in the quotient. 3900 is subtracted from 4231 to give 331. An unknown value represented by a box is being subtracted from 331.

Answers

Answer:

299

Step-by-step explanation:

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