5(2Y - 3) – 4y = 8 – 2y - 15
Justify this please

Answers

Answer 1

Answer:

y=1

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2y−3)−4y=8−2y−15

Step 1: Simplify both sides of the equation.

5(2y−3)−4y=8−2y−15

(5)(2y)+(5)(−3)+−4y=8+−2y+−15(Distribute)

10y+−15+−4y=8+−2y+−15

(10y+−4y)+(−15)=(−2y)+(8+−15)(Combine Like Terms)

6y+−15=−2y+−7

6y−15=−2y−7

Step 2: Add 2y to both sides.

6y−15+2y=−2y−7+2y

8y−15=−7

Step 3: Add 15 to both sides.

8y−15+15=−7+15

8y=8

Step 4: Divide both sides by 8.

Answer 2

The value of y is 1

Given the equation 5(2Y - 3) – 4y = 8 – 2y - 15

Expand

10Y - 15– 4y = 8 – 2y - 15

6y - 15 = -7 - 2y

Collect the like terms

6y + 2y = -7 + 15

8y = 8

Divide both sides by 8

8y/8 = 8/8

y = 1

Hence the value y of is 1

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Related Questions

can someone help me solve this?

Answers

Answer:

34

Step-by-step explanation:

2x + 15 + 3x - 5 = 180

2x + 3x = 5x

15 - 5 = 10

5x + 10 = 180

-10 + 180 = 170

5x = 170

[tex]\frac{170}{5} = 34[/tex]

x = 34

I need help ASAP please help me

Answers

Answer:

3x+50=6x-10

Step-by-step explanation:

set them equal to each other and solve for x. I have no paper on me rn to help you, hope this helps tho  

PLEASE HELP
Find the value of y for the given value
of x.
y= 2 – 9x; x = 2/3

Answers

Answer: y = -4
You need to substitute the x value into the equation.
x = 2/3
y= 2 - 9(2/3)
y = 2 - 6
y = -4

Find the solution to the system of equations. y = 2x + 2 ([?], [?])​

Answers

there’s not a second equation for the system of equations

Need help plzzzzzzxz

Answers

y=4x
Your answer will be x in relation to y. In this case, x goes in to y 4 times.

Which equation is being graphed here?

A. y-4= -2/3(x-2)
B. y-4= -2/3(x+2)
C. y+4= -3/2(x-2)
D. y+4= -3/2(x+2

Answers

Answer:[tex]\boxed{\boxed{\sf{y+4=-\frac{3}{2}(x-2)}}}[/tex]Solution Steps:

______________________________

1.) Graph each equation:

(I've included the graphs below.)

So your answer is c, [tex]\bold{y+4=-\frac{3}{2}(x-2)}[/tex].

______________________________

A new savings account is opened with 400 and gains 3% every year.what is the exponential function?

Answers

Answer:

Exponential function is:

y = 100 (1.03)ˣ

Step-by-step explanation:

We know that the exponential growth function is of the form

y = a (1 + r)ˣ

Here:

a = initial value

r = growth rate

x = number of time intervals that have passed

Given that A new savings account is opened with 400. Thus,

a = 400

Given that a new saving account gains 3% every year.

r = 3% = 0.03

now substituting a = 400 and r = 0.03 in the function

y = a (1 + r)ˣ

y = 100 (1 + 0.03)ˣ

y = 100 (1.03)ˣ

Therefore, exponential function is:

y = 100 (1.03)ˣ

Please note that the growth factor i.e. 1.03 is greater than 1, so the exponential function represents exponential growth.

*HELP ASAP I CAN ONLY DO THIS ONE TIME OR ILL FAIL*

Answers

Answer:

A

Step-by-step explanation:

V= BxHxL divided by 2

6x9x21= 1,134

divided by 2 equals 567yd

Answer:

A) 567 yd^3

Step-by-step explanation:

If you need help with formulas you could always look them up. Like triangular prism volume formula

What kind of sequence is this? –165, –180, –195, –210

Answers

Looks like a geometric sequence
-15 each time
Hope this help :)

the diameter of a bail ball is 6cm. what is the volume? round to the nearest whole number​

Answers

Answer:

lnkbprtngbp knmbmt[onbmorbmntionbtlrmbvlnrpoigmboigmnb

Step-by-step explanation:

Simplify -5x(x - 3y)

Answers

Start by distributing -5x into x then into -3y. So -5x times x equals -5x^2( -5x squared), then -5 times -3y, equals 15xy so your answer is -5x^2 + 15xy.

HELP PLEASE, I CANT FAIL THIS.

Answers

Answer:

1. complementary angles

2. vertical angles

i am not sure about question 3. 4. 5

3.

4.

5- (not sure)

6. c

Step-by-step explanation:

Evaluate f(x)=7x+7 when x=-9

Answers

Answer:

-56

Step-by-step explanation:

f(x) = 7x + 7

x = -9

We meed to plug in x = -9 into the first equation:

f(-9) = 7(-9) + 7

We can open up the parentheses:

f(-9) = -63 + 7

And then simplify:

f(-9) = -56

If Point (-5,-3) is reflected over the x-axis, which quadrant
will the point be in (after reflection)?

Answers

Answer:

It would be in quadrant 2

Step-by-step explanation:

(-5,-3) is in quadrant 3

the reflected point would be (-5,3)

Anya says, "62,996 rounds to 63,000"
Select all the places to which she could
have rounded the number.
Answers:
ones
tens
hundreds
thousands
ten thousands

Answers

Answer:

hundreds

Step-by-step explanation:

hundreds because in the hundreds place in the number 62996 there's number 9, which it's greater than 4, so it will add 1 to the thousands and all the numbers in the right will be zero

PLEASE HELP ME IV'E BEEN TRYING TO GET HELP BUT NOBODY WILL HELP ME PLEASE HELP "A phone sells for $137.99. It is now on sale for 1/10 off the original price. Tom has a coupon for an extra 5% off the sale price. To the nearest dollar, how much less that the original price will Tom pay for the phone."

Answers

Answer:

$122.99

Step by Step explanation

8. Bir sınıftaki öğrenciler sıralara ikişerli oturduğunda 3 öğrenci
ayakta kalmaktadır. Üçerli oturduklarında ise 1 sira boş kal-
maktadır.
Buna göre sıra sayısını veren denklem hangi seçenekte
doğru olarak verilmiştir?
B) 2x + 3 = 3x - 1
A) 3x + 1 = 2x + 3
C) 2x - 3 = 3(x + 1)
D) 2x + 3 = 3(x - 1)

Answers

Answer:

cvp B çünkü o iki kavram birbiriyle eşit

Which expression is equivalent to 5x + 9?
A. 5(x-4)+9
B. 5(x+4)+29
C. 5(x-4) +9
D. 5x+(x+9)

Answers

Answer:

i belive it would be D

Step-by-step explanation:

none of the above are the correct answer. 5(x-4) + 29 would be correct which is an answer option since i see that 5x(x -4) + 9 is listed twice, i think 5(x-4)+29 is an option and there’s just a typo

52 is 2% of what number? If necessary, round your answer to the nearest hundredth.
a) 0.04
b) 2600
c) 26
d) 1.04

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{52}{2} = \frac{x}{100}[/tex] =

2x = 52(100)

2x = 5200

x = 2600

PLZ MARK AS BRAINLIEST

i believe the answer would be B

A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix? x=−4 y=−4 x=4 y=4

Answers

The equation of directrix of the parabola will be x = -4.

What is directrix ?

Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.

We have,

Vertex of parabola = (0, 0),

Focus of the parabola = (4, 0),

Now,

The Equation of directrix is given by y = -a

Where,

The equation of the parabola, [tex]y^2 = 4ax[/tex],

And,

Focus at (a, 0),

i.e. a = 4    (As the given focus is (4, 0))

And,

The axis of the parabola is the positive x − axis.

So,

The equation of the directrix of this parabola,

x + a = 0,

i.e.

x + 4 = 0

x = -4

Hence, we can say that the equation of directrix of the parabola will be x = -4.

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True of flase a point (0,2) can be reflected across the x-axis PLEASE HELP 50 POINTS​

Answers

Answer:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

So what do you think the answer is true or false

Answer:

True

Step-by-step explanation:

That is possible since the x is on 0. It can flip and then it lands on (0,-2) I think.

Hope this helped!

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?

Answers

Answer:

A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2

Step-by-step explanation:

The linear equations above match the lines in terms of slope and y-intercept.

I hope you found this helpful! If you did, I'd really appreciate if you'd mark my work as 'brainliest'. Please don't hesitate to ask any questions!

Have a great day!

The system of linear inequalities of the given points is required.

The system of inequality is

[tex]x-3y\leq -9[/tex]

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

Points of the first line

[tex](0,3)[/tex]

[tex](3,4)[/tex]

The equation of the line is

[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]

Let us take a point above this line [tex](2,4)[/tex]

It is also a solid line.

[tex]2-3\times 4=-10<-9[/tex]

So, the inequality is [tex]x-3y\leq -9[/tex]

Points of the second line

[tex](0,-2)[/tex]

[tex](1,1)[/tex]

The equation of the second line is

[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]

Let us take a point towards the right of the line [tex](2,2)[/tex]

[tex]3\times 2-2=4>2[/tex]

Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]

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PLS HELP ASAP (THE PICTURE IS BELLOW)

Answers

Answer:

10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Find the dimension of a rectangle whose with is 6 miles less than its length and whose area is 72 square tiles

Answers

Answer:

Length = 12

Width = 6

Step-by-step explanation:

Width = 6 miles less than length;

L = L

W = L - 6

Area = 72 ft²

Area = Length * width

Area = (L * L-6)

Area = L² - 6L

-

L² - 6L = 72

L² - 6L - 72 = 0

L² - 12L + 6L - 72 = 0

L(L - 12) +6(L - 12) = 0

L = 12 or L = - 6

L cannot be negative

Width = L - 6

Width = 12 - 6 = 6

Hence,

Dimension of rectangle :

Length = 12

Width = 6

HELPPPPPPPP!!!!!!! ASAPPPPPPPPPPP!!!!

Answers

Answer:

The correct answer is 5.29 * [tex]10^{-5}[/tex]

Step-by-step explanation:

Scientific notation's form is a number ones digit number that may have decimals and is multiplied by 10 to some power, this is the only choice that fulfills this rule, so this is the correct answer.

please help me asap?!? test is past due :(
Find the missing side lengths using your notes on the 45-45-90 and 30-60-90 special triangles.

Answers

It says that there was an error with my answer, but I don't know what, so I screenshotted what I typed and attached them as 4 images below:


The price of a DVD player changed from $400 to $255. What was the percent of decrease?

Answers

Answer:

36.25%

Step-by-step explanation:

400 - 255 = 145

145/400 = 0.3625

0.3625 = 36.25%

Answer:

36.25%

Step-by-step explanation:

(400-255)/400=145/400=0.3625=36.25%

If
x
=
2
and
y
=
5
, evaluate the following expression:
2
(
4
x
+
3
y
)

Answers

When x = 2 and y = 5, the value of the expression 2(4x + 3y) is 46.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The expression given is - 2(4x + 3y).

If x = 2 and y = 5, then substitute these values into the expression and simplify as follows -

2(4x + 3y)

2(4(2) + 3(5))

Use the arithmetic operation of multiplication -

2(8 + 15)

Use the arithmetic operation of addition -

2(23)

Use the arithmetic operation of multiplication -

46

Therefore, the value is obtained as 46.

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The ice cream vendor 's cold box holds 24 ice cream cups. The
freezer has 8 cases of ice cream each with 48 cups. How many
trips to the freezer will the vendor make if he sells all the ice cream?

Answers

Answer:

16

Step-by-step explanation:

24/8=3

48/3=16

Duke is buying a new cellphone case that is on sale for 20% off. The sale price is
$16 before tax. What was the original price of the cellphone case?

Answers

Answer:

$20

Step-by-step explanation:

20 x .2 = 4

20 - 4 = 16

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