3y + 8 = ½ y + 28 Find y

Answers

Answer 1

[tex]\text{Hi there! :]}[/tex]

[tex]\large\boxed{y = 8}[/tex]

[tex]3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8[/tex]


Related Questions

-2(6 - 10x) = 10(2x - 6)


HEPL!!!!

Answers

Answer:

x=0 solution

Step-by-step explanation:

2x-10x=6-6

-8x=0

x=0 solution Hope this helped!

Jeremiah makes a recipe that calls for 1 1/2 cups of flour and 3/4 stick of butter. If Jeremiah uses 3 sticks of butter, how many cups of flour will he need?

Answers

Answer:

6 cups of flour

Step-by-step explanation:

we know that

the ratio of the recipe=(1 1/2)/(3/4)

1 1/2=1.5 cups of flour

3/4 stick of butter-------> 0.75 stick of butter

by proportion

1.5/0.75=x/3---------> 3*1.5=0.75*x

x=3*1.5/0.75----------> x=6 cups of flour

which angles are complementary? ​

Answers

Answer:

<LKM and <MKN

<PKO and <LKM

Step-by-step explanation:

<LKM and <MKN = 90°

<PKO and <LKM = 90°

Convert 6 20
into a decimal

Answers

Answer:

6.20

wait what do u mean

A man (M) is standing halfway between a tree (T) and a lamppost (L). What is the value of x?
T
M
L
(2x + 8) m
(3x – 2) m
I don't understand what I have to do and how to get the answer is there anyway someone can tell me???

Answers

Answer :

The value of x is 10.

Explanation :

Given that,

TM = (2x+8) m

ML = (3x-2) m

If a man (M) is standing halfway between a tree (T) and a lamppost (L).

The half distance is TM and half distance is TL.

So, Both half distance will be equal.

We need to calculate the value of x

Using given data

[tex]TM=ML[/tex]

Put the value into the formula

[tex]2x+8=3x-2[/tex]

[tex]2x-3x=-8-2[/tex]

[tex]-x=-10[/tex]

[tex]x=10[/tex]

Hence, The value of x is 10.

Cindy lost 47 pounds while on a diet. She now weighs 144 pounds. Write and solve an equation to find her initial weight.

Answers

Answer:

191

Step-by-step explanation:

47+144=191

Answer:

equation: 144+ 47= 191

Step-by-step explanation:

Simon and Andrew see a speed limit sign that says 65 kilometers per hour. They decide to convert this speed limit to miles per hour. They each do the conversion separately and come up with different answers. Their work is shown. Who is correct? Explain.

Answers

Answer:

40.38912735 or about 40 miles per hour (rounded to the nearest whole number)

Step-by-step explanation:

1.) You want to convert kilometers per hour to miles per hour.

2.) There are 0.62137119 miles in 1 kilometer.

3.) Multiply 65 by 0.62137119

4.) That equals 40.38912735

5.) This answer can be rounded to 40 mph.

what is the smallest two digit positive integer such that the product of its two digits is one-half the integer

Answers

Let x be the tens and y be the ones digits.

The product of the number is then: 10x + y

The product is 1/2, so you need to multiply the product by 2 and the number:

10x + y = 2(x+y)

10x + y = 2x + 2y

Subtract 1 y from both sides

10x = 2x + y

Subtract 2x from

Both sides

8x = y

X has to be 1 , which would make y 8

The product number becomes 18

Since the product is 1/2, multiply by 2:

18 x 2 = 36

3 x 6 = 18

The answer is 36

If LN=54 and LM= 31, find MN

Answers

I hope this helps. If you have any more questions message me and Id be happy to explain

Answer:

If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.

Step-by-step explanation:

So...

54-31=23

True or false, 6 divided by 1/2 is larger than 6 1/2​

Answers

Answer:

True

Step-by-step explanation:

6 divided by 1/2 is the same as multiplying by two

Answer:

True

Step-by-step explanation:

6 divided by 1/2 = 12

You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12

Explanation & Process Needed

Answers

Answer:

∠ BOF = 32°

Step-by-step explanation:

Since AB is a straight line, then

∠ AOE + ∠ EOD + ∠ DOE = 180° , substitute values

90 + x + 8 + 2x - 8 = 180 , that is

3x + 90 = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Thus

∠ DOB = 2x - 8 = 2(30) - 8 = 60 - 8 = 52°

∠ COF = 4x - 24 = 4(30) - 24 = 120 - 24 = 96°

∠ AOC = ∠ DOB ( vertical angles ), thus

y = 52, then

∠ BOF = 180° - (96 + 52)° = 180° - 148° = 32° ( angles on a straight line )

If 7/35 = 4/y, what is y?

Answers

Answer:

y = 20

Step-by-step explanation:

[tex] \frac{7}{35} = \frac{4}{y} [/tex]

First of all cross multiply

That's

7y = 140

Divide both sides by 7

That's

[tex] \frac{7y}{7} = \frac{140}{7} [/tex]

We have the final answer as

y = 20

Hope this helps you

An object is traveling at a steady speed of 9 4/5 mi/h. ​ How long will it take the object to travel 2 1/5 miles? ​First round to the nearest integer to find the estimated answer. Then find the exact answer.

Answers

Answer:

Time taken by the object = 14 minutes

Step-by-step explanation:

Speed of an object = [tex]9\frac{4}{5}[/tex] miles per hour ≈ 9.8 miles per hour

Distance covered by the object = [tex]2\frac{1}{5}[/tex] miles ≈ 2.2 miles

Formula to calculate the distance in the time 't' is,

Time taken by the object = [tex]\frac{\text{Distance traveled}}{\text{Speed of the object}}[/tex]

                                          = [tex]\frac{2.2}{9.8}[/tex]

                                          = 0.2245 hours

                                          = 13.47 minutes

                                          ≈ 14 minutes

Therefore, distance traveled by the object to cover 2.2 miles = 14 minutes.

What is the sum of b and 4

Answers

Answer:

b+4

Step-by-step explanation: If you add b to 4, than you get B+4

Erica has saved $2400.if she spends $45 per day then what is the first day that her balance will be $500 or less

Answers

Answer:

The 43rd day of spending $45.

Step-by-step explanation:

Let the number of days = x.

If she spends $45 per day, then in x days she spends 45x.

She starts with $2400, so 45x is subtracted from 2400.

2400 - 45x < 500

Subtract 2400 from both sides.

-45x < -1900

Divide both sides by -45. Remember to change the direction of the inequality sign when multiplying or dividing by a negative number.

x > 42.2

Answer: The first day is the 43rd day of spending $45.

5) There are 20 students in Mr. Drury's tutorial. 70% of the students are wearing a hoodie. Het many students are wearing a hoodie?​

Answers

I’m sorry I’m answering this to ask a question

Round the following to the 3 significant digits. 456789

Answers

Answer:

456789 to 3 significant figures = 457000

Adam was learning to play a new a board game. He spun the spinner 5 times, and each time it landed on "Go back 4 spaces." How did the position of Adam's game piece change over these 5 spins?

Answers

It changed by -20, because 5 x -4 is -20

Answer: -20 spaces

Step-by-step explanation:Hello! I hope this helped you out :)

What is f(5) for the function f(x)=2x+7

Answers

Answer:

Solution:

f(5)=2×5+7

=10+7

=17

Answer:

[tex]f(5)=17[/tex]

Step-by-step explanation:

[tex]f(5)=2(5)+7\\f(5)=10+7\\f(5)=17[/tex]

The figure below shows part of a stained glass window depicting the rising sun which function can be used to find the area of the region outside of the semicircle but inside the rectangle. (Look at the picture for more details)

Answers

We know that the area of a semicircle = 1/2(πr^2)

r = the radius

We also know that the area of a rectangle = xy

x = width

y = length

In our problem,

r = w

x = w

y = w + 5

A(w) = w(w + 5) - 1/2(πw^2)

Let's simplify the right side of the function.

A(w) = w^2 + 5w - 1/2πw^2

Tell whether the blue figure is a translation of the red figure.
The blue figure !
I a translation of the red figure.

Answers

Answer:it is a translation

Step-by-step explanation:a translation is just a movement up down left or right not diagonal you’re just moving it up down left or right across the grid

Answer:

Yes

Step-by-step explanation:

Because a translation moves a shape up, down, or from side to side but it does not change its appearance in any other way. The translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated at the same distance in the same direction.

Solve for x in simplest form. 10=3/7(4x+35)

Answers

Answer:

x=−  

12

35

​  

=−2.917

Step-by-step explanation:

What is f(4) if f(x)=3x+2

Answers

Answer:

f(4) = 14

Step-by-step explanation:

To evaluate f(4), substitute x = 4 into f(x), that is

f(4) = 3(4) + 2 = 12 + 2 = 14

What is true about the relationship between miles and gallons?
gallons 2
4
8
miles
30
60 90
120
K

Answers

Answer:

It is a linear relationship

Round 20045 to 4 significant figures.

Answers

Answer:

2005

Step-by-step explanation:

HELP ME PLEASE DUE IN 5 MIN

Answers

Answer:

Step-by-step explanation:

im pretty sur ethe answer is 58... i havent done this is 3 yeras so if its wrong sorry

Trey received a $15.00 gift card for a photo center. He used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars) on the card after
buying x prints is given by the following.
B = 15.00 -0.06x
What is the remaining balance on the card if Trey bought 50 prints?

Answers

Answer

I think it's 12.00 left

Step-by-step explanation:

50 * 0.06 = 3.00

3.00 - 15.00 = 12.00

12.00

The variables for this experiment include mass, volume and the materials in the various balls, as well as their densities. In Part II, you will be comparing an inflated football with a deflated one. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. In Part II, the independent variable, the one that is intentionally manipulated, is . (mass,volume,material,density) In Part II, the dependent variable, the one that you measure the response in, is . (mass,volume,matierl,density)

Answers

Answer:the first one is volume the second one is density

Step-by-step explanation:I took the test

Answer:

volume and density

Step-by-step explanation:

To get the 10% discount, a shopper must spend no less than $300.

Answers

what are u trying answer

Evaluate y = 3x - 5 when x = 6

Answers

y=13

Step-by-step explanation:

y=3x-5

y=3(6)-5

y=18-5

y=13

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