Solve:
-9(-5-3x)=21
A) 8/9
B) -8/9
C) 22/9
D) -22/9

Answers

Answer 1

Answer: B) -8/9

Step-by-step explanation:

I would start by looking inside the parenthesis to see if anything could be simplified. We see the terms -5 and -3x, and upon realizing that there is no way to simplify, we can go ahead and just simplify the left side of the equation as much as we can before worrying about breaking the equation down. Distribute the -9 to the -5 and the -3x (multiply -9 by -5 and -9 by -3x). Multiplying two negative numbers will result in a positive value, so the left side of your equation should end up looking like this: 45+27x=21. Now, we can start working to get the variable on its own. Subtract 45 from both sides of the equation. On the left side this cancels out and leaves you with 27x. On the right side you have more of the negative value than positive value, so you end up with -24. The equation now looks like this: 27x=24. The only thing left to do is divide the equation by 27. On the left side of the equation, this leaves you with just x. On the right side, you get -24/27. Normally at this point I would divide out to get the decimal form (I prefer working with decimals) but bc the answer choices are all fractions there's not really a good use to, so instead let's just find the greatest common denominator (GCD) which would be 8. (Just as a clarification the GCD is the largest number you can divide both numbers by evenly.) Divide both the numerator and denominator by eight leaves you with -8/9. Therefore, x= -8/9.


Related Questions

Function g can be thought of as a translated (shifted) version of f(x)=x^2.


PLEASE HELP I NEED THISSS!!!

Answers

Answer:

g(x) = x² - 3

Step-by-step explanation:

A quadratic function has been given as,

f(x) = x²

If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,

g(x) = x² - h

From the graph attached, h = 3 units (shift of 3 units downwards)

Therefore, g(x) = x² - 3 will be the translated version of f(x).

What is the slope of the graphed line?

Answers

Answer:

The slope is 1/3

Step-by-step explanation:

Just use the rise over run method i told you about earlier.

The right point is 3 units higher and 9 units more to the right.

3/9 = 1/3.

i hope this helped :)

Mark this question as brainliest if you think it was the best answer.

This is the right answer.

A store sells an outfit that consists of a shirt, a tie, and a pair of pants. The store purchases the shirt for $18, the tie for $12, and the pants for $35. The percent of markup is 22%. Find the selling price of the outfit.

Answers

Answer:The selling price of the outfit is $79.3

Step-by-step explanation:

18 + 12 + 35 = $65  

65* 22% = 14.3

14.3 + 65 = $79.3

or

100% + 22% =  122%

122% of 65

1.22 * 65 = 79.3

four rational numbers between 2/3 and 4/5

Answers

Answer:

5/7, 11/15, 23/31, 47/63

Step-by-step explanation:

any number you can write into a fraction between those numbers

Please please help!!!!

Which ordered pair is a solution of this
equation?
3x - 7y = 28
Click on the correct answer
A.
(-4,1)


B.
(0,-4)


C.
(-4,0)


D.
(1,-4)

Answers

I believe the answer is B, I substituted it in and it was 3(0) - 7(-4) = 28
0+28=28
28=28
The answer is B
First you plug in 0 for x and 3(0) is 0 so you are left with -7y = 28 so you solve that 28/-7 is -4. Then you plug that back into your original equation
3x -7(-4) = 28
3x + 28 = 28
-28. -28
3x = 0
Divide by 3
X= 0
y = -4
(0,-4)

Which angles are corresponding angles?
Check all that apply.
8
4
7
3
6
2
O A. 6 and 3
B. 1 and 6
C. 1 and 3
D. 5 and 7
I E. 6 and 8
F. 7 and 2

Answers

The correct answer are C. D. and E.

i will give brainliest. Select the 2 equations that are equal to the expression z^8. Answers in picture below.

Answers

[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

The price of a vase was increased by 4% to £22. What was the price before the increase? Give your answer to the nearest penny.

Answers

Answer:

The price before the increase was £21.20

Step-by-step explanation:

Now, let the former price before the increment be £x

The increment would be 22-x

Mathematically, the percentage increment = difference between the prices/old price * 100%

Thus, we have(

(22-x)/x * 100 = 4

100(22-x) = 4x

2200-100x = 4x

100x + 4x = 2200

104x = 2200

x = 2200/104

x = 21.154

which is x = 21.2 to the nearest penny

Answer:

21.15

Step-by-step explanation:

22 × 10 = 220

100%+4%=104

104 ÷ 10 = 10.4

220 ÷ 10.4 =21.15384615

To the nearest penny it would be 21.15

(PIC INSIDE!!!) What is the equation of the following linear function?

Answers

Answer:

y=4x-4

Step-by-step explanation:

Since this line rises 4 units for every 1 it moves to the right, it has a slope of 4/1=4. Also, since it intersects the y axis at the point (0,-4), b=-4.

Therefore, the equation is y=4x-4. Hope this helps!

A cube has an edge length of 7 inches. What is its volume, in cubic inches?

Answers

Answer:

343 cubic inches

Step-by-step explanation:

7 times 7 times 7 is 343

Solve the system of linear equations by graphing. Round the solution to the nearest tenth.

y = –0.25x + 4.7

y = 4.9x – 1.64

The approximate solution to the system is (
,
).

Answers

Answer:

The approximate solution to the system is (1.2, 4.4)

x = 1.2 and y = 4.4

Step-by-step explanation:

The solution of the system of linear equations equation y = –0.25x + 4.7 and y = 4.9x – 1.64 is shown in the attached graph. The red line represents the equation y = –0.25x + 4.7 and the blue line represents the equation  = 4.9x – 1.64.

The solution of the system of equations is their point of intersection shown on the graph.

The point of intersection is (1.231, 4.392). To the nearest tenth, it is (1.2, 4,4). So x = 1.2 and y = 4.4.

So the approximate solution to the system is (1.2, 4.4)

2,7, 12, 17, 22, 27, 32, 37, ...
f(1) =
Common Difference:
Explicit Rule:​

Answers

Answer:

Common difference=5.

what is the answer for AC =

Answers

Answer:

The length of AC is 2.33 units.

Step-by-step explanation:

You have to use Tangent Rule, tanθ = opposite/adjacent :

[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]

Let oppo. = AC,

Let adj. = BC = 5,

Let θ = 25°,

[tex] \tan(25) = \frac{ac}{5} [/tex]

[tex]ac = 5 \tan(25) [/tex]

[tex]ac = 2.33 \: units \: (near.hundredth)[/tex]

SOMEONE PLEASE HELP MEEE !!!

Answers

Answer:

see explanation for answers

Step-by-step explanation:

prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²

lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²

area of square base of the pyramid = 5*5 = 25 ft²

total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²

One number is 5 more than twice another and their sum is 23.
Which of the following system of equations represents the word problem?
y= 2( x + 5) and x + y= 23
x + y = 23 and y= 2 x + 5
y=x+ 5 and y + 2(x+5) = 23

Answers

Answer:

x + y = 23 and y= 2 x + 5

Step-by-step explanation:

The number is 5 more than twice another so 2x + 5 = y

The two numbers have a sum of 23 so x + y = 23.

i couldn't find this answer anywhere!! -x/6+6=32

Answers

Answer.

x=156

How to solve

x /6 +6=32

1 /6 x+6=32

1 /6 x+6−6=32−6

1 /6 x=26

6*( 1/ 6 x)=(6)*(26)

x=156

George used the diagram below to help determine 30% of 60. Which expression could George have used?

Answers

Answer:

(3)(6)

Step-by-step explanation:

1st. Find the answer(60*30%=18)

2nd. Find the option that equals 18 which was (3)(6)

Basically, for all of questions that ask for a different way to express it, multiply the total amount by the percentage(or decimal/fraction) and find the other expression with the same answer.

Answer:

(3)(6)

Step-by-step explanation:

i did the test

what is the value of 2²+5²​

Answers

Answer:

29

Step-by-step explanation:

2^2 + 5^2

PEMDAS

Exponents first

4+25

Then add

29

If you borrow $300 for 14 years at
an annual interest rate of 4%, how
much will you pay altogether?

Answers

Answer:

$468

Step-by-step explanation:

I = P*R*T

I = 300*0.04*14

I = 168

168 + 300 = 468

solve 5kx+ 6=7kx for x

Answers

Answer:

A

x= 3/x

Step-by-step explanation:

5kx + 6 = 7kx

collect like term

5kx - 7kx = -6

-2kx = -6

minus cancel out

=> 2kx = 6

divide bothside by 2k

=> x = 6/2k

=> x = 3/k

Answer:

Step-by-step explanation:

its A just trust :)

Timothy Bergling is designing a logo. The logo is a polygon whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.7 cm. Find the area of the logo.

Answers

Answer:

The logo has an area of 5.7 cm².

Step-by-step explanation:

The area of the logo must be equal to the sum of the square's area and the triangle's one, therefore we will calculate each individually. The triangle is attached to the square, this means that its base has the same length as the side of the square.

[tex]square = side^2 = 2^2 = 4 \text{ cm}^2[/tex]

[tex]triangle = \frac{b*h}{2} = \frac{2*1.7}{2} = 1.7 \text{ cm}^2[/tex]

The total area of the figura is:

[tex]total = square + triangle = 4 + 1.7 = 5.7 \text{ cm}^2[/tex]

The logo has an area of 5.7 cm².

solve ....... x/2 = 7

Answers

Answer:

x=14

Step-by-step explanation:

x/2=7

*7 on both sides

x=14

Answer: x=14

Step by step explanation:

Step 1: Multiply both sides by 2.

X/2*2=7*2

X=14

It was easy as that:D

A vegetable garden measures 20m x 30m. He wants to double the area by adding a strip of ground around the outside. How wide should the strip be?

Answers

Answer:

Step-by-step explanation:

Work out (5*10^3) * (9 x 10^7)
Give your answer in standard form

Answers

Answer:

45×10^10

Step-by-step explanation:

try opening the brackets group and you get the answer

What is the y-value when x equals -12.

Answers

Answer:

-128 it’s on the table

Step-by-step explanation:

HEY!HERE IS UR ANSWER:

So as x=-12

Well then y=-200-6(-12)

y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}

y=-128

HOPE IT MAKES UR DAY BETTER!!

what are the zero's f(x)=(x-3)(x+8)

Answers

Answer:

-8, 3

Step-by-step explanation:

[tex]f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: [/tex]

40)
6 cm
4 cm
12 cm
Find the volume of the rectangular prism.
will

Answers

The rectangular prism is 12cm

Answer:

the volume is 288 squared cm

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST




find the value of x

Answers

I think,

the value of x is 90°

X= 50°

The sum of 3 angles in a triangle will always equal 180 degrees. So to find x in this problem you can do 180 - 82 - 48 = 50°

Can someone please help with this answer

Answers

Answer:

16x9= 144 cm2

Step-by-step explanation:

If the temperature is 20c what is it in Fahrenheit.

Answers

Answer:

The answer is 68 degrees Fahrenheit.

Step-by-step explanation:

The equation to convert Celsius to Fahrenheit is (C × 9/5) + 32.

So, first we calculate Celsius times 9/5.  20×9/5 = 36.

Then, we add 36 and 32 together.  36+32= 68

So, 68 is your answer.

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