5(2y-3)-4y=8-2y-15
Justify each step with a property of algebra. Drag the property to the correct row.

Answers

Answer 1
The answer is Y=1
5(2y-3)-3y=8-2y-15
10y-15-4y=8-2y-15
4y= 4y
———————————-
10y-15= 8+2y-15
15= 15
———————————
10y= 8+2y
-2y= -2y
———————————-
8y=8
—— —-
8 8
Y=1

Related Questions

A restaurant bill is $75. You want to leave about a 20% tip. Which is a 20% tip?

Answers

75*.20= 15

The tip is $15

A T-Rex made 16 waffles for his friends for breakfast. 5 were blueberry waffles and the rest were chocolate chip waffles. How many chocolate chip waffles did he make?

Answers

Answer: 11 waffles were chocolate chip

Step-by-step explanation:

16-5=11 waffles were chocolate chip

14. (01.04)
On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept?
-9
-6
6
9

Answers

Answer:

6

Step-by-step explanation:

U divide 18 by 3.

Answer:

9

Step-by-step explanation:

In slope-intercept form of linear equation y = mx + b , value of "b" is y-intercept.

Let solve 3x + 2y = 18 for "y"

2y = - 3x + 18

y = [tex]-\frac{3}{2}[/tex] x + 9 ⇒ 9 is y-intercept.

===========

There is another way to solve this kind of problems:

Coordinates of y-intercept are (0, y) .

3(0) + 2y = 18

2y = 18

y = 9

(0, 9)  

If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.

Answers

Answer:

[tex]Perimeter = 38.6[/tex]

Step-by-step explanation:

Given

[tex]A\ B = 13[/tex]

[tex]B\ F = 9[/tex]

[tex]F\ C = 5.6[/tex]

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

[tex]Perimeter = A B + B\ C + A\ C[/tex]

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

[tex]B\ C^2 = B\ F^2 + F\ C^2[/tex]

Substitute values for BF and FC;

[tex]B\ C^2 = 9^2 + 5.6^2[/tex]

[tex]B\ C^2 = 81 + 31.36[/tex]

[tex]B\ C^2 = 112.36[/tex]

[tex]B\ C^2= \sqrt{112.36[/tex]

[tex]B\ C = 10.6[/tex]

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

[tex]A\ B^2 = B\ F^2 + A\ F^2[/tex]

Substitute values for B F and A B;

[tex]13^2 = 9^2 + A\ F^2[/tex]

[tex]169= 81 + A\ F^2[/tex]

[tex]A\ F^2 = 169 - 81[/tex]

[tex]A\ F^2 = 88[/tex]

[tex]A\ F = \sqrt{88[/tex]

[tex]A\ F = 9.4[/tex]

Since F lies on line A C:

[tex]A\ C = A\ F + F\ C[/tex]

[tex]A\ C = 9.4 + 5.6[/tex]

[tex]A\ C = 15.0[/tex]

Recall that:

[tex]Perimeter = A\ B + B\ C + A\ C[/tex]

[tex]Perimeter = 13 + 10.6 + 15.0[/tex]

[tex]Perimeter = 38.6[/tex]

Hence, the perimeter is 38.6

Given that P is the orthocenter of triangle ABC, applying the properties of an orthocenter of a triangle and the Pythagorean Theorem, each measure and the perimeter of △ABC are:

AB = 13BC = 10.6AC = 15Perimeter = 38.6

Recall:

An altitude is the line that connects the vertex of a triangle to the opposite side of which it is perpendicular to that side.Orthocenter is the point where all three altitudes intersect each other.

Given that P is the orthocenter of triangle ABC, where,

AB = 13BF = 9FC = 5.6

Perimeter of △ABC = AB + BC + AC

First, we need to find BC and AC.

△BFC is a right triangle, apply Pythagorean theorem to find BC:

[tex]BC = \sqrt{BF^2 + FC^2}[/tex]

Substitute

[tex]BC = \sqrt{9^2 + 5.6^2}\\\\\mathbf{BC = 10.6}[/tex]

△BFA is a right triangle, apply Pythagorean theorem to find FA:

[tex]FA = \sqrt{AB^2 - BF^2}[/tex]

Substitute

[tex]FA = \sqrt{13^2 - 9^2}\\\\\mathbf{FA = 9.4}[/tex]

AC = FA + FC

Substitute

AC = 9.4 + 5.6

AC = 15

Perimeter of △ABC = AB + BC + AC

Substitute

Perimeter of △ABC = 13 + 10.6 + 15

Perimeter of △ABC = 38.6 units

Therefore, given that P is the orthocenter of triangle ABC, applying the properties of an orthocenter of a triangle and the Pythagorean Theorem, each measure and the perimeter of △ABC are:

AB = 13BC = 10.6AC = 15Perimeter = 38.6

Learn more here:

https://brainly.com/question/2515607

EASY QUESTION WILL GIVE BRAINLIEST!!!
Tyler has a baseball bat that weighs 28 ounces.
Find this weight in kilograms and in grams. (Note: 1 kilogram 35 ounces).
Make a table

Answers

Kilograms- .794
Grams- 793.787

HELP ME PLEASE
What is 50% of 36?

A. 9

B. 16

C. 18

D. 34

Answers

Answer:

18 C

Step-by-step explanation:

hope this helps!!! :]

Answer:18

Step-by-step explanation:

PLEASE I NEED HELP ASAP

Answers

Answer:

mrs heershap

Step-by-step explanation:

Crystal pushes a 20 kg box with a force of 40N. What is the box’s acceleration?

Answers

Answer:

2m/s

Step-by-step explanation:

Acceleration = force / mass

Acceleration = 40N / 20 kg

Acceleration = 2 m/s^2

Which of these figures shows parallel lines? Help please

Answers

Answer:

B a parrelel line means there not inerscting

Step-by-step explanation:

Tom bought a new mirror for his house. One side of the mirror is 38 inches and the other side is 30 inches. What is the length of the diagonal of the mirror? a. 68 inches b. 23 inches c. 34 inches d. 48 inches

Answers

Answer:

d. 48 inches

Step-by-step explanation:

We assume the mirror is a rectangle

We solve for the length of a diagonal using Pythagoras Theorem

a² + b² = c²

c = √a² + b²

Where c = diagonal

a = 30 inches

b = 38 inches

c = √30² + 38²

c = √2344

c = 48.414873748 inches

Approximately = 48 inches

Jay works at a sandwich shop. He needs to make 7 turkey sandwiches. Each sandwich will have 1/3 of a pound of turkey. How many pounds of turkey will Jay need to make the sandwiches? Remember what of means! And remember to press submit after you answer the question

Answers

Answer:

Jay will need 2 and 1/3 pounds of turkey.

Step-by-step explanation:

Since Jay uses 1/3 per sandwich and is making 7, multiply 7 by 1/3.

That gets you 7/3s

Convert it into a mixed number.

3 goes into 7 twice, with one third left over.

So, Jay needs 2 1/3.

hope this helped!

Answer:

approximately 2.3 pounds of turkey. Trust the BlueDragon

Step-by-step explanation:

7 times 1/3= 2.33333

A license plate is to consist of digits followed by uppercase letters. Determine the number of different license plates possible if the first and second digits must beâ odd, and repetition is not permitted.A. 71, 610, 739, 200,000 B. 795, 674, 880,000 C. 7, 894, 720 D. 8, 840, 832,000

Answers

Answer:

D. 8, 840, 832,000

Step-by-step explanation:

The computation of the number of license plates possible is shown below:

Here the first position could be taken by any of the five odd numbers

The second position could be taken by any of the 4 odd numbers

The third position could be taken by the eight left numbers

The fourth position could be taken by another seven numbers

Als the first digit could be any of the 26 upper case letters and so on

So,

= 5 × 4 × 8 × 7 × 26 × 25 × 24 × 23 × 22

= 8,840,832,000

Therefore option D is correct

riddle #2
I am a five digit even number.
all of my digits are factor of 24.
4/5 of my digits are even.
The digit in my thousands place equals the perimeter of a 2×2 array.
The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands places.
The digit in my tens places equal the number of lines of symmetry in an isosceles triangle.​

Answers

Answer:

28416

Step-by-step explanation:

No digits can be repeated

"All my digits are factors of 24" This means that the possible digits are: 1, 2, 3, 4, 6, 8

"The digits in my thousands place equals the perimeter of a 2x2 array" That would be 8

"The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands place" That would be 4, which also means that the ten thousands place is 2

"The digits in my tens place equal the number of lines of symmetry in an isoceles triangle" There is only 1 lines of symmetry

This means that we have 2841(?)

Because this number is even and no digits can be repeated, the only possible digits from those available is 6

Therefore the number is 28416

picture attached please help!

Answers

The answer is 12.56.

I just used the area of circle formula

The formula is 3.14 x r^2

2 x 2 is 4

4 x 3.14 is 12.56


Pls mark brainleist

Use the Distributive Property to simplify

1/7 x (56 - 1/4)

Answers

Answer:

7.96428571429

Step-by-step explanation:

Round you the nearest number.

The answer is 223/28 or 7 27/28 when Simplified

I just muiltpyied 1/7 with 56 and -1/4 .

Plz mark branliest

Dale has written too many checks and his bank balance is –42.68. The bank will charge him an overdraft fee of $25. How much does he need to deposit so that his bank balance will be $50?

Answers

Answer:

$117.68

Step-by-step explanation:

You have to add them all together, because if he has a negative amount, he first needs to get that to 0. He then pays the overdraft fee, keeping him at 0. Lastly, he pays $50 to put it into his account. Good luck!

58 students on a bus how many students were fit on a six buses

Answers

Answer:

348

Step-by-step explanation:

The average of 5 quiz grades is 10. When the lowest grade is dropped and the new average is calculated, it turns out to be 11. What was the score of the dropped grade?

Answers

Answer:

The score of the dropped grade is 6

Step-by-step explanation:

To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores

(a+b+c+d+e)/5=10

Then we can multiply both sides by 5 and get

a+b+c+d+e=50

Lets assume that c is the lowest test score. To calculate the average of that we get

a+b+d+e/4=11

Doing the same thing, we know that a+b+d+e=44

Now compare the two:

a+b+c+d+e=50

a+b+d+e=44

We can now know that c=50-44=6

So, 6 is the score of the dropped quiz. Hope that helped!

PLZZ help me with this I will give brilliantis to whoever gets it right

Answers

Answer:

C

Step-by-step explanation:

2. Determine whether quadrilateral EFGH can
be classified as a parallelogram.
Justify your reasoning.

Now consider quadrilateral EFGH shown

Answers

Answer:

3.4

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

there are two sets of parrallel lines.

What is the area of a square with sides of length 9?
O A. 54 square units
B. 81 square units
O C. 18 square units
O D. 36 square units
SUE

Answers

B. 81 square units
Area for a square is length times width. In this case, both are 9 so 9 x 9 = 81

will mark brainlist

One number is 9 more than twice the other number. Their sum is 54. Find the numbers.

Answers

2x + 9 + x = 54
3x + 9 = 54
3x = 45
First number is 15
Second number is 2(15) + 9 = 39
The numbers are 15 and 39

Grace drew a triangle with sides of equal length. Its measured with sides of 3 cm. What is the perimeter of the triangle?

Answers

Answer:

9 cm explained to

Step-by-step explanation:

explained that

What is the area of the figure?

A. 36 cm2
B. 26 cm
C. 15 cm
D. 42 cm2

Answers

Put the figure??? I can’t see sorry :(

Cole is saving money at a constant rateSuppose he initially has $190 saved, and after 3 months, he has $265 saved. Which of these expresses the rate at which Cole is saving?

Answers

Answer:

His unit rate per month is 25 dollars

Step-by-step explanation:

Cole has saved 25 dollars per month. by subtracting 190 from 265 you are left with 75. when left with 75 you can divide by 3 for the the 3 months hes been saving his money. 75 divided by 3 is 25.

Lillian is comparing the amount of water in her bathtub and her sink. Her bathtub is 0.65 full of water. Her sink is 0.9 full of water.




Which statement is true about comparing the amount of water Lillian has in her bathtub and sink? (MGSE4.NF.7)






There is more water in the bathtub because 65 > 9



These amounts cannot be compared because decimals can only be compared if they have the same-sized whole.



These amounts cannot be compared because decimals can only be compared if the have the same place value



There is more water in the sink because 65/100 < 90/100

Answers

Answer:

Step-by-step explanation:

There is more water in the bathtub because 65 > 9

These amounts cannot be compared because decimals can only be compared if they have the same-sized whole.

These amounts cannot be compared because decimals can only be compared if the have the same place value

There is more water in the sink because 65/100 < 90/100

How is 2+ (2) similar to adding 2+2 how is different explain your answer

Answers

Answer:

2+2 is 4-1=3 quick maths

Step-by-step explanation:

Answer:

2+(2) is the same to adding 2+2 because the "(" " )" just mean the you have to add the 2 + 2 just like----- 2+2

Yan has already finished Three-fifths of the 45 math problems he was assigned today. Each math problem took him 1Four-fifths of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish?

Answers

Answer:

49 Minutes

Step-by-step explanation:

1. 27 = 1 4/5 Minutes per 1 question.

2. Each question takes 108 seconds.

3. By this Logic, we can do 108 seconds x 27 questions to get-

4. 48.6 Minutes

5. And finally we round to the nearest minute so we get 49 minutes in total.

Answer:

32 minutes

Step-by-step explanation:

Yan has already finished Three-fifths of the 45 math problems he was assigned today. Each math problem took him 1Four-fifths of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish?

The use of performance materiality should:_____________.A. reduce the probability that the sum of immaterial and/or undetected misstatements in the financial statements is greater than materiality for the financial statements as a whole.B. increase the probability that the sum of immaterial and/or undetected misstatements in the financial statements is greater than materiality for the financial statements as a whole.C. reduce the probability that the sum of immaterial and/or undetected misstatements in the financial statements is less than materiality for the financial statements as a whole.D. increase the probability that the sum of immaterial and/or undetected misstatements in the financial statements is less than materiality for the financial statements

Answers

Answer:

C. reduce the probability that the sum of immaterial and/or undetected misstatements in the financial statements is less than materiality for the financial statements as a whole.

Step-by-step explanation:

This is the likely answer going by the relationship between the undetected misstatement and the materiality for the financial statements.

Jackson's bakery sold 291 cheesecakes in one day. How much money did Jackson's bakery make in one day from cheesecakes?

Answers

How much does one cheesecake cost? We are missing some valuable information.
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