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

Answer:

B a parrelel line means there not inerscting

Step-by-step explanation:

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

Answer:

348

Step-by-step explanation:

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

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

Answer:

C

Step-by-step explanation:

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:

Recall:

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

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]

[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]

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

AC = FA + FC

AC = 9.4 + 5.6

AC = 15

Perimeter of △ABC = AB + BC + AC

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:

Learn more here:

https://brainly.com/question/2515607

Answer:

2m/s

Step-by-step explanation:

Acceleration = force / mass

Acceleration = 40N / 20 kg

Acceleration = 2 m/s^2

Answer:

mrs heershap

Step-by-step explanation:

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

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)  

Answer:

9 cm explained to

Step-by-step explanation:

explained that

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.

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

Answer: 11 waffles were chocolate chip

Step-by-step explanation:

16-5=11 waffles were chocolate chip

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!

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!

Answer:

3.4

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

there are two sets of parrallel lines.

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

Answer:

7.96428571429

Step-by-step explanation:

Round you the nearest number.

Answer:

18 C

Step-by-step explanation:

hope this helps!!! :]

Answer:18

Step-by-step explanation:

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?

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.