I need the function for the volume of the box for number 1

Answer:

GE = 8 inches

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

GE = 2 × GH = 2 × 4 = 8 inches

The value of b that Lois give Clark will be -7

Rearrange;

2x + 7 - x = 4x + 2b – 3x - 3b.

x + 7 = x + 2b - 3b

2b - 3b = 7

-b = 7

b = -7

Substitute b = -7 into the expression and find the value of x;

2x + 7 - x = 4x + 2(-7) – 3x - 3(-7)

x + 7 = 4x - 3x - 14 + 21

x + 7 = x + 7

Since for every x he picks, the left side is always 3 more than the right side, the equation becomes;

x + 7 = x + 3x + 7

x + 7 = 4x + 7

x - 4x = 0

-3x = 0

x = 0

Hence the value of b that Lois give Clark will be -7

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Answer:

A.-4x^2y^4

that the answer

The best account if one plans to make frequent withdrawals via check or debit card is A. Checking account

Checking accounts:

Checking accounts are best when a person wants easy access to their money because they can get to it via checks or debit cards. The drawback however, is that interest on these accounts are low.

In conclusion, option A is correct.

Find out more about checking accounts at https://brainly.com/question/21714367.

Answer: Both of the Givens go in the left top boxes, and then in the right top boxes you would put B is the midpoint of AD and CE and then AC is equal to DE. In the third and fourth boxes on the left, you would put CB = EB and then AB is equal to DB. In the third and fourth boxes on the right you put both of the Def. of Midpoints. Then, in the last box to the left, you would put triangle ABC = DBE. In the final box to the right you would put Side-Side-Side Congruency.

Step-by-step explanation:

1) ac≅de, given

2) b is the midpoint, given

3) ab≅db, defn midpoint

4) cb≅eb, defn midpoint

5) abc≅dbe, side side side

Answer:

15 : 1

Step-by-step explanation:

5 : 1/3

Multiply both numbers in the ratio by 3.

5 × 3 : 1/3 × 3

15 : 1

[tex]5:\frac{1}{3} =5.\frac{3}{1} =\frac{15}{1} <=>15:1 (=15)[/tex]

ok done. Thank to me :>

Answer:

[tex]y=\frac{4}{3}x+2[/tex]

Step-by-step explanation:

using two points you can find the slope of the line using the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plugging in the x- and y- values into the equation above, you'll get:

[tex]m=\frac{-2-10}{-3-6}=\frac{-12}{-9}=\frac{4}{3}[/tex]

so far, you have [tex]y = \frac{4}{3}x+b[/tex]

using any of the two points, you can solve for b. in this case, the point (-3, -2) is used.

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

the overall equation is [tex]y=\frac{4}{3}x+2[/tex]

Difference between relation and function?

So

Check option A

2 is repeated in domain

Hence table A is a relation.

Table B is a function

Answer: slope (m) = -2

Step-by-step explanation:

y-3=-2(x+5)

put it into y=mx+b

use PEMDAS-Parantheses, Exponents, Mult. Div. Add. Sub. for your order of operations.

first, parantheses.

-2(x+5)

-2 times x = -2x

-2 times 5 = -10

your new equation is y-3 = -2x-10

now, to get y by itself, cancel out the -3 by adding a positive 3 to both sides.

you final equation will be y=-2x-7

in the form y=mx+b, m is your slope.

therefore, -2 is your answer, or slope.

Answer:

3. 314 student and 226 adult

4. x = 6.5, y = -0.5

Step-by-step explanation:

3. First we will take our information and make a system of equations:

[tex]2.4a+1.25s=934.9[/tex]

[tex]a+s=540[/tex]

[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.

From the second equation we can rearange it to be:

[tex]a=540-s[/tex]

Then we can plug in our new value of [tex]a[/tex] to our first equation

[tex]2.4(540-s)+1.25s=934.9[/tex]

[tex]1296-2.4s+1.25s=934.9[/tex]

[tex]1.15s=361.1[/tex]

[tex]s=314[/tex]

We can then find [tex]a[/tex] by plugging in s to our second equation

[tex]a+314=540[/tex]

[tex]a=226[/tex]

4. It is mostly solved already. We can take the value of y from the first equation and plug it into the second to get:

[tex]3x -5(-5x+32)=22[/tex]

[tex]3x+25x-160=22[/tex]

[tex]28x=182[/tex]

[tex]x=6.5[/tex]

Then plug our value of x into the first equation to get:

[tex]3(6.5)-5y=22[/tex]

[tex]19.5-5y=22[/tex]

[tex]5y=-2.5[/tex]

[tex]y=-0.5[/tex]

Answer:

60%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100

Answer:

60%

Step-by-step explanation:

Total increase in cost = $(48 - 30) = $18

Now,

% increase = Increase/Original amount × 100

=> 18/30 × 100

=> 18/3 × 10

=> 6 × 10

=> 60%

Answer:

-8 or 8

Step-by-step explanation:

We are given the absolute equation:

[tex]\displaystyle \large{4|x|=32}[/tex]

First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]

Absolute Value Definition

[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]

So from |x| = 8, break into two intervals/conditions.

(1) when x ≥ 0

x = 8

(2) when x < 0

-x = 8

x = -8

From (1) and (2), the solution to 4|x| = 32 is 8 or -8

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

To Find :

Using Formula :

General term of an A.P.

[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]

Solution :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]

[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]

Hence, the value of T₂₀ is a + 19d.

[tex] \rule{190}1[/tex]

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]

[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]

Hence, the value of T₁₅ is a + 14d

[tex] \rule{190}1[/tex]

Now, finding the difference between T₂₀ - T₁₅ :

[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]

[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]

[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]

[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]

Hence, the value of T₂₀ - T₁₅ is -20.

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

Answer: 5 1/8 cups

Step-by-step explanation:

Make 1/4 to 2/8 the. Subtract 3/8 by 2/8

1/4 = 2/8

3/8 - 2/8 = 1/8

Then subtract 12 and 7

12 - 7 = 5

Finally add 5 and 1/8

5 + 1/8 = 5 1/8 cups

Answer:

11 is B then 12 is D

Hoped that helped:P

The following statements are true:

Find the diagram attached.

Given the parameter:

m<2 = 98 degrees

From the diagram, the following are true:

m<2 = m<3 = 98 degrees (vertical angles)

The sum of m<3 and m<4 is 180 degrees.

m<3 + m<4 = 180

m<4 = 180 - m<3

m<4 = 180 = 98

m<4 = 82 degrees

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Answer: A, C, E

Step-by-step explanation: God/Edge

Answer: Third option

Answer:

did u ever figure it out?

Step-by-step explanation:

Answer:

y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]

Step-by-step explanation:

First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.

When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].

Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).

-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b

-1 = [tex]\frac{20}{3}[/tex] + b

b = -[tex]\frac{23}{3}[/tex]

After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].

Answer:

 8A + 11A  = A(19)

Step-by-step explanation:

   8A + 11A

 = A(8 + 11)                      Factor out the common factor A

= A(19)

Answer:

Its Answer is 13

Step-by-step explanation:

2y + 3 (x - y) + x2

Answer:

[tex]x\approx\pm4.8989[/tex]

Step-by-step explanation:

[tex]x^2=24[/tex]

[tex]\sqrt{x^2}=\sqrt{24}[/tex]

[tex]x=\pm\sqrt{24}[/tex]

[tex]x\approx\pm4.8989[/tex]

It is 103.68 degrees :)

Step-by-step explanation:

sqrt(12×a³b⁵) × sqrt(6×ab²)

the content of multiplied square roots can be combined into one square root :

sqrt(12×6×a³×a×b⁵×b²) = sqrt( 72a⁴b⁷) =

= sqrt(4×9×2 × a⁴ ×b⁶×b) = 2×3×a²×b³×sqrt(2b) =

= 6a²b³×sqrt(2b)

Step-by-step explanation:

Sheldon's brother shoveled 2/3 of the driveway

Remaining portion = 1 - ⅔

= (3-2)/3

= 1/3

Sheldon shoveled 3/4 of what was left= ¾ × ⅓

= ¼

Sheldon shoveled ¼ or 0.25 of the driveway

Ahmed shoveled ⁴/5 of half of the driveway = 4/5 × ½

= 2/5

Ahmed shoveled 2/5 or 0.4 of the driveway

0.4 > 0.25

therefore, Ahmed will have the larger area to shovel

Answer:

Ahmed shoveled more

Step-by-step explanation:

you need to do 3/4 - 2/3 which is 1/12 so the you do 1/12 x 3/4 = 3/48

compare with 4/15 and 4/15 is higher so that what you got wrong

Answer:

assuming <= is less than or equal to

then z/3 is less than or equal to 3

z had to be less than 9