What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16?

27
29
30
33

Answers

Answer 1

The value of y is 27. (first option.)

isolate the variable by dividing each side by factors that don't contain the variable.

Answer 2

Answer:

27

Step-by-step explanation:

2(3y + 6 +3)

2(9 + 3y)

18 + 6y

18 + 6y = 196 -16

6y =196 -16 -18  

6y = 162

162 divided by 6 = 27

y =27


Related Questions

L varies directly with the square of Z. L is 12 when Z is 2. Find the value of L when Z is 4.

Answers

Answer:

L = 48

Step-by-step explanation:

Given that L varies directly with Z² , then the equation relating them is

L = kZ² ← k is the constant of variation

To find k use the condition L = 12 when Z = 2 , then

12 = k × 2² = 4k ( divide both sides by 4 )

3 = k

L = 3Z² ← equation of variation

When Z = 4 , then

L = 3 × 4² = 3 × 16 = 48

Find the solutions to the equation -6y (5y + 9) = 0.

Answers

Step-by-step explanation:

The solution is too long so i m just giving u answer

[tex]y = (0 \: or \: - \frac{9}{5} )[/tex]

y= 0 or y = -9/5. pretty sure

Which point-slope equation represents a line that passes through (3,-2) with a slope of -4/5
O y-3 =-4/5(x+2)
Oy - 2 =4/5(x-3)
Oy+2=-4/5(x-3)
O y + 3 = 4/5(x+2)

Answers

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question

the point is (3,-2) and slope - 4/5

The equation of the line is

[tex]y + 2 = - \frac{4}{5} (x - 3)[/tex]

Hope this helps you

The point-slope equation of the line is given by:

[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]

What is the point-slope equation of a line?

It is given by:

[tex]y - y_0 = m(x - x_0)[/tex].

In which:

m is the slope.[tex](x_0, y_0)[/tex] is the point.

The line that passes through (3,-2) with a slope of -4/5, hence the parameters are given by:

[tex]x_0 = 3, y_0 = -2, m = -\frac{4}{5}[/tex]

Thus, the equation of the line is:

[tex]y - y_0 = m(x - x_0)[/tex].

[tex]y - (-2) = -\frac{4}{5}(x - 3)[/tex].

[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

solving multistep linear equations and inequalities
help me please​

Answers

Answer:

Step-by-step explanation:

Part A:

C = 10t + s

Part B:

10(3) + 8

30 + 8 = $38

Ann's Paycheck showed a regular weekly salary of $835.50 a deduction of 13.29 a bonus of 34.35 and 28.95 for overtime. what is ANN's final pay?

Answers

Answer:

$885.01

Step-by-step explanation:

Answer:

$885.51

Step-by-step explanation:

$835.50-$13.29= $822.21

-The first step is to subtract the deduction. Deduction always means subtract.

$822.21+$34.35= $856.56

-Once you get the new total by subtracting the deduction, you have to add the bonus. Bonus always means add.

$856.56+$28.95= $885.51

-Finally, when you work overtime at a job, your employer is required by law to pay you extra. Add the overtime and get the final total of $885.51.

a house with an original value of $210,000 increased in value to $300,000 in 5 years what is the ratio of the increase in value to the original value of the house ?

Answers

Answer:

6%per year

Step-by-step explanation:

210000/300000=.7

it increased by 30%

30/5=6%per year

The ratio of the increase to the original will be 0.43.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Original value = $210,000

Final value = $300,000

Increment = 300000 - 210000 = 90000

The ratio of increment to original

⇒ 90000 / 210000 = 0.43

Hence "The ratio of the increase to the original will be 0.43".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ2

Find the distance between the point (-8,2) and (6,-1)

Answers

Answer:

3/14

Step-by-step explanation:

Go to cordinate plane and then find distance.

Use the image below to solve for x.

Answers

Answer:

x will equal 61 degrees

Step-by-step explanation:

The total degree of a pentagon is 540. You subtract all the angles you have (138, 144, 107, and 90) and that will get your sum.

Evaluate the expression when y=-6.
y² +8744

Answers

Answer:

8780.

Step-by-step explanation:

-6 times -6 is 36 + 8744

Answer:

8780

Step-by-step explanation:

We simply substitute "-6" in for "y"

[tex]y^2 + 8744\\\\(-6)^2 +8744\\\\36 + 8744\\\\8780[/tex]

What is this answer and work shown please 5/2x -3 =2

Answers

Answer:

x = 2

Step-by-step explanation:

Given

[tex]\frac{5}{2}[/tex] x - 3 = 2 ( add 3 to both sides )

[tex]\frac{5}{2}[/tex] x = 5 ( multiply both sides by 2 to clear the fraction )

5x = 10 ( divide both sides by 5 )

x = 2

5/2x - 3 = 2

(subtract the three)

5/2x = 5

(multiply both sides by 2/5 so that the fraction can get cancelled out and the x is by itself)

x = 5 x 2/5 so 2

What is the system of solutions?

Answers

it means that the 2 equations are actually the same line. So, the system has a solution set of all the possible points on that line.

Polygon ABCD is translated to polygon A'B'C'D point A is located at (1,5) and point A' is located at (-2,1) what is the distance from B to B'

Answers

Answer:

(-3,-4) is the answer for the question

Help please solve by factoring

Answers

Answer:

x = −1/6,−3

Step-by-step explanation:

Hope this helps

Convert 55 ounces to pounds ?

Answers

55oz converted into pounds is 3.4375 lbs.

Answer:

3.4375 lbs.

Yeah, not being the process... Sorry!

Write an explicit formula for the sequence.
-20.-12.-4.4
An) = -20n - 8
O A(n) = -20 - 8n
A(n) = -20 + (n - 1)8
An) = n - 8

Answers

Answer:

I need help

Step-by-step explanation:

Level 4
5. A restaurant orders 132 bags of flour. Each box contains 4 bags of flour. Write an equation that
you can use to solve x the number of boxes they receive. Solve the equation.

Answers

132/4 = 33, x = 33 boxes

Answer:

4x=132

you divide by 4 on both side

x should be by it self

x=132/4

x=33

If you want make a harder equations use this

4x+10=142

subtract 10 9n both side

-10+10 +4x= 142-10

4x=132

divide by four on both side

x=132/4

x=33

Need Help! 10 points!

Answers

Answer:

Lenora can make 15 batches if she has 5 cups of oil.

Step-by-step explanation:

I hope this helps you :)

Function h is a transformation of the parent exponential function, $(=) = 2*
h(t) = -3 2-
Which statement is true?
O A
Function h is a horizontal translation of function f.
OB.
Function h is a reflection and a translation of function f.
C.
Function h is a vertical translation of function f.
D.
Function his a reflection and a dilation of function f.

Answers

Answer:

D. function h is a reflection and a dilation of function

Step-by-step explanation:

Parent function:

f(x) =2^x

Transformed function:

h(x) = -3•2^x

Transformation applied:

f(x) → -f(x) = reflection over x-axis = vertical reflectionf(x) → 3f(x) = dilation or vertical stretch

Correct answer choice is:

D. function h is a reflection and a dilation of function f

The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the triangle is 19 cm long. Calculate the length of the shortest side in the triangle

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opp}{hyp}[/tex] = [tex]\frac{opp}{19}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part A:) Last Friday, Kristin babysat for 4.5 hours. How much money did she make during that job? Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part B): Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then?

Answers

Answer:

a)$29.25

b)7hours

comments if you need an explanation

Answer:

Part A: 29.25

Part B: 7 hours

Step-by-step explanation:

Part A :

6.50 times 4.5 equal 29.25

Part B:

45.50 divided by 6.5 equal 7

hopefully this helps you :)

pls give me brainlest :)

Sally bought 30 pounds of apples for $10. Use the ratio table to find the cost of buying 6 pounds of apples.

Answers

Answer:

6 : 2

Step-by-step explanation:

30 : 10

( 30 divided by 5 equals 6)

( 10 divided by 5 equals 2)

ratio is:

6 : 2

pls mark brainlest ;)

Hopefully this helps you :)

What is the distance between points (5,0) and (2, 1) to the nearest tenth?
Help !

Answers

Answer:

5

Step-by-step explanation:

HELP!!Mark the figure to illustrate the givens.(Show work) ~will make brainliest

Answers

Refer to the attachment for solution.

Please help me brainiest is award

Answers

Answer:

-3 >-5

5>-4

Step-by-step explanation:

Negative 3 is closer to zero so that statement is true. Also it's obvious 5 is greater than negative 4

hope this helps. Please mark me brainiest          

-3>-5 is the answer and really a map test

what is the quotient of a number and 5​

Answers

Sorry but that's an unclear question, can you double check to see if you included everything, and also check to see the possible answers?

Find and interpret the slope of the line containing the given points. (0,20) and (-8,0)​

Answers

Answer:

The slope is: 20/-8, or -20/8

Step-by-step explanation:

to find the rate of change, you do change in y over change in x

so you minus the y numbers and minus the x numbers

so,

20-0/0-8 = 20/-8

or you can do

0-20/8-0 = -20/8

both of them are the same

sorry I'm really bad at explaining myself

hope this helps! :D

Answer:

Step-by-step explanation:

(0 - 20)/(-8 - 0)= -20/-8= 20/8= 5/4

help me please!!!!!!!​

Answers

Answer:

C (-6,-8) → C' (6,8)

D (-2,-8) → D' (2,8)

E (-2,-4) → E' (2,4)

F (-6,-4) → F' (6,4)

Step-by-step explanation:

When you rotate a point 180° counterclockwise about the origin, the point A (x,y) becomes A' (-x,-y). So, if the points are positive, they will become negative.

Because all the points are negative, rotating them 180° counterclockwise will make them positive.

Hope that helps.

Convert this number expressed in standard form to scientific notation
28,500,000
1. Move the decimal to create the coefficient: 2.8500000
2. Write in scientific notation:
2.85 x 100
What is the value of x in the scientific notation?

Answers

Answer:

28,500,000 into scientific notation is 2.85 x 10⁷

2.85 x 100 in scientific notation is 2.85 x 10²

if you mean the multiplication symbol, it just means to multiply. otherwise, there i don't see an x anywhere else

The price of a ring was increased by 30% to £325. What was the price before the increase?
Please answer asap!!​

Answers

Answer:

227.5

Step-by-step explanation:

Find the number that is increased by 30% to get to 325.  

100-30 = 70.

In other words, what number is 70% of 325.

325 x .70 = 227.5

The original price of the ring was 227.5.

Check your work, 227.5 = 70% of X

227.5  / .70  = 325

Answer:

The cost before the increase is £250.

Step-by-step explanation:

Given that after 30% increases, the cost of the ring is £325 so we can assume that 130% is £325. Now, we have to form an expression in term of x where x represents the original cost :

[tex] \frac{130}{100} \times x = 325[/tex]

Next, we have to solve it :

[tex]x = 325 \div \frac{130}{100} [/tex]

[tex]x = 325 \times \frac{100}{130} [/tex]

[tex]x = 250[/tex]

What is the volume of this rectangular prism?

Answers

Answer:  5/8 cm^3

Step-by-step explanation:

V = l x w x h

l = 3/4 cm

w = 1/3 cm

h = 5/2 cm

V = (3/4 cm) x (1/3 cm) x (5/2 cm) = 15/24 cm^3 = 5/8 cm^3

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