What is the area of this trapezoid?

Answer:

A = 6k(k + 6)

Step-by-step explanation:

We have to solve the given equation for the value of A,

[tex]\frac{6k^2-36k}{A}.\frac{k^2+12k+36}{k^2-36}=1[/tex]

[tex]\frac{(6k^2-36k)(k^2+12k+36)}{A(k^2-36)}=1[/tex]

(6k² - 36k)(k² + 12k + 36) = A(k² -36)

6k(k - 6)(k + 6)² = A(k - 6)(k + 6)

A = [tex]\frac{6k(k-6)(k+6)^2}{(k-6)(k+6)}[/tex]

A = 6k(k + 6)

Therefore, value of A is 6k(k + 6).

Answer:

12

Step-by-step explanation:

Simplify 3 log(x+7) by moving 3 inside the parentheses with 7.f(x)=log((x+7)3)−5

Answer:

7(6+9)

Step-by-step explanation:

what do you mean there is no question

Answer:

No x^3 times x^5 is not equal to x^15. It is equal to x^8

Step-by-step explanation:

x3x5

=x3*x5

=(x*x*x)*(x*x*x*x*x)

=x*x*x*x*x*x*x*x

=x8

Answer:

See explanation

Step-by-step explanation:

[tex]x^{3} = x*x*x\\x^{5} = x*x*x*x*x\\x^{3} x^{5} = x*x*x*x*x*x*x*x = x^{8}[/tex] ≠ [tex]x^{15}[/tex]

Answer:

P = I / rt is the formula we're going to use.

P is the principle (which is what we're solving for)

I = the interest accrued over the specified amount of time (2 years)

r = the interest rate (6%)

t = the time specified (2 years)

Change the percent to a decimal. Place the decimal two places to the left to make 0.06.

P = 264 / 0.06(2)

P = 264 ÷ 0.12 = 2,200

Principal borrowed would be $2,200

Answer: Hope this helps

Step-by-step explanation:

Let ss be the number of guests that a small tier can serve and mm be the number of guests a medium tier can serve.

The first cake has 3 small tiers, which will serve 3s3s people, and one medium tier, which will serve mm people. The first cake can then serve 3s+m3s+m people. Since the first cake will serve 100 guests, then 3s+m=1003s+m=100.

The second cake has 3 small tiers, which will serve 3s3s people, and 2 medium tiers, which will serve 2m2m people. The second cake can then serve 3s+2m3s+2m people. Since the second cake will serve 140 guests, then 3s+2m=1403s+2m=140.

The system of equations is then { 3s+m=100 3s+2m=140  

{

3s+m=100

3s+2m=140

​

​

Part B:

The mm-terms have the same coefficients so subtract the first equation from the second equation to eliminate ss and solve for mm:

3s+2m amp;= amp;140 −(3s+m amp;= amp;100)       m amp;= amp;40

3s+2m

−(3s+m

m

​

amp;=

amp;=

amp;=

​

amp;140

amp;100)

amp;40

​

​

Substitute m=40m=40 into either equation and solve for ss:

3s+m amp;=100 3s+40 amp;=100 3s amp;=60 s amp;=20

3s+m

3s+40

3s

s

​

amp;=100

amp;=100

amp;=60

amp;=20

​

The solution of the system is then (s,m)=(20,40)

(s,m)=(20,40)

​

.

Part C:

Since the solution of the system was s=20s=20 and m=40m=40, then a small tier feeds 20 people and a medium teir serves 40 people.

Answer:

Step-by-step explanation:

Equation

Let "n" represent the number. Then more indicates addition, and times indicates multiplication. With that said, the answer is 4 + 3n.

Dale's Money

Given: $44 in total

44 ÷ 2 (To know how much they have  equally)

22

22 ÷ 3 (Then you divide by 3 because Brandon has 3 times his, the opposite of multiplication is division.)

7.3

Therefore, Dale has $7.3¢

Brandon's money

Given: 4 + 3n. Dale has 7.3

Solve: 7.3 × 3 ( Since Brandon has four more than 3 times the amount of money that Dale has, multiply that and 3)

21.9 (Then add four because Brandon has four more...)

25.9

Therefore, Brandon has $25.9¢

The amount that Brandon and Dale have is $34 and $10, respectively.

An equation is formed when two expressions are equated with each other with the help of an equal sign.

Let the amount of money that Brandon has be x, and Dale has be y.

As it is given that the sum of the total amount they both had is $44. therefore, the equation that can represent the total amount both of them had is

[tex]x + y = \$44[/tex]

Now, according to the first statement, Brandon has four more than 3 times the amount of money that Dale has. therefore, the equation can be represented as,

[tex]x = 4 + 3y[/tex]

Further, as got the two-equation solving the two equations. We have the value of x, therefore, substitute the value of x in the first equation,

[tex]x+y = 44\\\\(4 + 3y )+y= 44\\\\4+4y=44\\\\4y = 40\\\\y = 10[/tex]

Now, substitute the value of y in the second equation we get,

[tex]x = 4 + 3y\\\\x = 4 + 3(10)\\\\x = 34[/tex]

Hence, The amount that Brandon and Dale have is $34 and $10, respectively.

Learn more about Equation:

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Answer:

B

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

21/25 = 84/100 = 0.84 = 84%

Answer: 84%

Answer:

Step-by-step explanation:

‎‎‎‎‎‎‎‎‎‎‎‎        

Answer:

4 meters wide and 9 meters long

Step-by-step explanation:

equation- A=wl=4·9=36

Answer:

The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

Answer:

It has 2 equal side lengths

Answer:

D. (4 1/2, 2 1/2)

Step-by-step explanation:

Look for each point on the coordinate graph.

Answer:

2 /5

Step-by-step explanation:

Answer:

V/2 is the answer.

Step-by-step explanation:

V2 is V * 2, which is the opposite of what you want.

Answer:

I think it’s a reflection followed by a transformation

Step-by-step explanation:

Step-by-step explanation:

HOLA, SOY DORA. DO YOU WANNA HELP ME AND BOOTS.

Me:heck no

Her:LETS GO!

MAMA PAPA

HELPPP MEEEE IM GOING CRAZZZZYYY

Answer:

14

Step-by-step explanation:

The two triangles are similar

KN/KL = MN/JL

12/32 = (x+1)/(3x-2) multiply the fractions

36x-24 = 32x+32 export like terms to the same side

36x-32 = 32 + 24

4x = 56 divide both sides by 4

x = 14

Answer:

The two numbers are 12 and 26

Step-by-step explanation:

let the first number = a

let the second number = b

The ratio of the numbers is given as;

[tex]\frac{a}{b} = \frac{6}{13} \\\\a = \frac{6b}{13}[/tex] -------- (1)

The lcm of the two numbers is given as;

a x b = 312

ab = 312 --------- (2)

From equation (1), [tex]a = \frac{6b}{13}[/tex]

[tex]b(\frac{6b}{13} ) = 312\\\\\frac{6b^2}{13} = 312\\\\6b^2 = 4056\\\\b^2 = \frac{4056}{6} \\\\b^2 = 676\\\\b = \sqrt{676} \\\\b = 26\\\\From \ equation \ (1);\\\\a = \frac{6b}{13} \\\\a = \frac{6 \times 26}{13} \\\\a = 12[/tex]

Therefore, the two numbers are 12 and 26

Answer:

d=6.324

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

[tex]d=\sqrt{(-5-(-3)^{2} +(2-(-4)^{2} }[/tex]

[tex]d=\sqrt{(-5+3)^{2}+(2+4)^{2} }[/tex]

[tex]d=\sqrt{(-2)^{2}+6^{2} }[/tex]

[tex]d=\sqrt{4+36}[/tex]

[tex]d=\sqrt{40}[/tex]

[tex]d=6.324[/tex]

Answer: 3

Step-by-step explanation:

Answer:

Area = 162.70 square centimetre.

Step-by-step explanation:

From the given question,

AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°

The area of the parallelogram can be determined by;

Area = AD x AB x Sin <BAD

        = 11.1 x 15.5 x Sin 71°

        = 172.05 x 0.94552

Area = 162.67672

        = 162.70 [tex]cm^{2}[/tex]

Therefore, the area of the given parallelogram is 162.70 square centimetre.

Answer:In my opinion B.0.005 is the correct answer

Step-by-step explanation:

hope it will help you

Answer:

May you please attach a picture of Genivieve’s data or insert it as text?

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

i got 100% on edmentum

Answer:

C.

Step-by-step explanation:

All you have to do is multiply the cookie cost by the cookies and that gives you your answer.

0.30 * 36 = 10.80

The cost of 36 cookies is $10.80

1 cookie= $0.30

36 cookies= x

Cross multiply

1x= 0.30 × 36

1x= 10.8

x= 10.8

Hence the price of 36 cookies is $10.80

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