What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1

Answer:

6.0435*10²⁴

Step-by-step explanation:

Moon:  7.35*10²²

Earth: 5.97*10²⁴

7.35*10²² = 0.0735*10²⁴

then:

0.0735*10²⁴ + 5.97*10²⁴ = (0.0735 + 5.97)*10²⁴

=  6.0435 *10²⁴

Answer:

D) conmutativa

Step-by-step explanation:

Propiedad conmutativa: Cuando se suman o multiplican dos números, la suma o el producto es el mismo independientemente del orden en que

los números se suman o multiplican.

Se da como:

a + b = b + a

a × b = b × a

Propiedad distributiva: La suma de dos números por un tercer número es igual  a la suma de cada número sumado por el tercer número. Se da como:

a × (b + c) = (a × b) + (a × c)

Propiedad asociativa:  Se da como:

a + (b + c) = (a + b) + c

a × (b × c) = (a × b) × c

Propiedad  inverso aditivo:  Se da como

a + (-a) = 0

Answer:

Step-by-step explanation:

Plug in the value of y & z in the expression

[tex]\frac{3}{2}y-3+\frac{5}{3}z=\frac{3}{2}*6-3+\frac{5}{3}*3\\\\\\=3*2 - 3 + 5 *1\\\\\\= 6 - 3 + 5\\\\\\= 3 + 5\\\\\\= 8[/tex]

Answer: 11

Step-by-step explanation:

If y=6 and z=3 then your problem will look like this : 3/2(6) - 3 + 5/3(3)

Put both 6 and 3 over 1 to turn them into a fraction and then multiply

3/2 multiplied by 6/1 is 18/2 which reduces to 9

5/3 multiplied by 3/1 is 15/3 which reduces to 5

Then your problem will look like this : 9 - 3 + 5

Follow order of operations and add and subtract from left to right

9 - 3 is 6 and 6 + 5 is 11

So your answer is 11

Answer:

38.89%

Step-by-step explanation:

the whole p8e chart is 360° as a perfect circle would be,

so : 360° - ( 66° + 144° ) = 360° - 210° = 140°

140° of the pie chart was cast in favor of candidat C.

(140° ÷ 360°) × 100 = 38.89%

Answer:

adult cost £7, child cost £2

Step-by-step explanation:

let a represent an adult and c a child , then

2a + 3c = 20 → (1)

a + 4c = 15 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate a

- 2a - 8c = - 30 → (3)

Add (1) and (3) term by term to eliminate a, that is

- 5c = - 10 ( divide both sides by - 5 )

c = 2

Substitute c = 2 into either of the 2 equations and evaluate for a

Substituting into (2)

a + 4(2) = 15

a + 8 = 15 ( subtract 8 from both sides )

a = 7

The cost of an adult ticket is £7 and a child ticket is £2

Answer:

Your answer will be 5.66

[tex]\frac{w+14}{4w+6} = \frac{3}{4}[/tex]

So do cross multiplication.

4×(w+14)=4w+56

3×(4w+6)=12w+18

4w+56=12w+18

Carry the 4w to the right side, and the 18 to the left

56-18=12w-4w

38=8w

w=4 3/4

Sorry if this is not what you were asking for.

♡  But anyways, I Hope this helped! ♡

❀ 0ranges ❀

Answer:

Step-by-step explanation:

[tex] \sf{ \frac{w + 14}{4w + 6} = \frac{3}{4} }[/tex]

Apply cross product property

⇒[tex] \sf{4(w + 14) = 3(4w + 6) }[/tex]

Distribute 4 through the parentheses

Similarly, Distribute 3 through the parentheses

⇒[tex] \sf{4w + 56 = 12w + 18}[/tex]

Move variable to left hand side and change it's sign

Move constant to right hand side and change it's sign

⇒[tex] \sf{4w - 12w = 18 - 56}[/tex]

Collect like terms

⇒[tex] \sf{ - 8w = 18 - 56}[/tex]

Calculate

⇒[tex] \sf{ - 8w = - 38}[/tex]

Divide both sides of the equation by -8

⇒[tex] \sf{ \frac{ - 8w}{ - 8} = \frac{ - 38}{ - 8} }[/tex]

Calculate

⇒[tex] \sf{w = 4.75}[/tex]

Hope I helped!

Best regards!!

Answer:

x= 11.33 years

Step-by-step explanation:

Y1= −19.76x + 227

Y2= = –92.57x + 1052

Y1 = Y2

–19.76x + 227 = –92.57x + 1052

Collect like terms and Simplify

-19.76x + 92.57x = 1052 - 227

72.81x = 825

Divide both sides by 72.81

x= 825 / 72.81

=11.33 years

Therefore,

x= 11.33 years

The solution for x is 11.33 years.

Given,

The linear function that models the population of rainbow smelt is[tex]y_{1} = -19.76x + 227[/tex]

The linear function that models the population of bloater fish is [tex]y_{2} =-92.57x + 1052[/tex]

Since, According to the question,

[tex]y_{2}=y_{1}[/tex]

[tex]-19.76x + 227 =-92.57x+1052[/tex]

On solving for x

[tex]-19.76x + 92.57x = 1052 - 227[/tex]

[tex]72.81x = 825[/tex]

Divide both sides by 72.81

[tex]x= \dfrac{825}{72.81}[/tex]

[tex]x=11.33 \ years[/tex]

Hence the solution for x is 11.33 years.

For more details follow the link:

https://brainly.com/question/11897796

Answer:

8

Step-by-step explanation:

15-7= 8

Answer:

8 laps

Step-by-step explanation:

We know that Kyle has already run 7 laps, and that he wants to run 15 laps. To find the answer, we need to think, "How much more is 15 than 7?" To find the answer, we simply can do 15 - 7 = 8 laps.

Answer:

Step-by-step explanation:

To find y we use tan

tan∅ = opposite/ adjacent

From the question

8 is the adjacent

10 is the opposite

Substitute the values into the above formula

That's

[tex] \tan(y) = \frac{10}{8} [/tex]

[tex]y = \tan^{ - 1} ( \frac{10}{8} ) [/tex]

y = 51.34019

We have the final answer as

Hope this helps you

Answer:

According to the statement, the equation is :

Sides of regular octagon T= 3 × the length of sides of regular octagon G

The required equation is x = 3y

Where x is the length of the sides of the octagon T and y is the length of the side of the octagon G.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 5 - 9 is an equation.

We have,

Sides of regular octagon T = x

Sides of regular octagon G = y

Now,

The equation of the sides of regular octagon T is three times the length of the sides of regular octagon G can be written as:

x = 3y

Thus,

The equation is x = 3y.

Learn more about equations here:

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Answer:

b

Step-by-step explanation:

thats funny i just did that

Answer: check all the answers except cos(x+y)+cos(x-y)=cos^2 x-sin^2 y

Step-by-step explanation:

took the test and hopefully mine was the same as the image above

Answer: 6,130,000

Step-by-step explanation:

No work needed

Answer: The answer is 12.57 because the formula is The area of a circle is pi times the radius squared (A = π r²). Hope this helps.

Step-by-step explanation:

Answer:

Sₙ = √5/2 n (n + 1)

Step-by-step explanation:

Given AP:

Rewriting as:

Common difference:

Sum of n terms:

Sₙ = √5/2 n (n + 1)

Answer:

B 100.

Step-by-step explanation:

The measure of the angle opposite to the 100 degree angle = 180 - 100 = 80 degrees (The opposite aNGLES IN A CYCLIC QUADRILATERAL are supplementary).

S0 b = 180 - 80 = 100 degrees  (adjacent angles are supplementary).

Answer:

B

Step-by-step explanation:

im smart

Answer:

m= =3/2

Step-by-step explanation:

(9,4) (7,7)

m= y2-y1/x2-x1

m=7-4/7-9

=3/-2

=-3/2

Answer:

The range is 10 cm.

Step-by-step explanation:

The range of a set is the difference of the largest and smallest values of the set. Looking at the data, we see that 30.98 cm is the largest value and 20.98 is the smallest value so the range is 30.98 - 20.98 = 10 cm.

Answer:

The answer is

Step-by-step explanation:

To calculate the range in a given set of data subtract the lowest observation from the highest observation

From the question

The highest measurement = 30.98 cm

The lowest measurement = 20.98 cm

So the range is

30.98 cm - 20.98 cm

We have the final answer as

Hope this helps you

A sailboat traveling 120m in 60s is 20.

Answer:

May 26, 1799

Step-by-step explanation:

Answer:

The correct option is;

Shirt Express charges less per shirt. For the cost to be the same 74 shirts must be ordered

Step-by-step explanation:

1) The given table for Shirt Express can be used to find the equation of the total cost of each made by Shirt Express as follows;

The rate of change of the function m is given as follows;

[tex]m = \dfrac{y_2 - y_1 }{x_2 - x_1}[/tex]

Therefore, we have;

m = (438 - 353)/(50 - 40) = 8.5

Te equation in slope and intercept form is then y - 438 = 8.5(x - 50)

From which we have;

y = 8.5·x - 8.5×50 + 438 = 8.5·x + 13

y = 8.5·x + 13

Therefore, Shirt Express initially charges 13 per shirt which is less than the 50 Shirt Custom charges

2)  the cost to be the same, we equate both shirts equations to get;

8.5·x + 13 = 8·x + 50

0.5·x = 50 - 13 = 37

x = 37/0.5 = 74 shirts

Therefore, for the cost to be the same 78 shirts must be ordered

Answer: -(-3)2-(9(-3)-3(-4))

6+27-12

Step-by-step explanation:

Two negatives make a positive and a negative times a positive is negative

Answer:

  1 in : 8 ft  or  1 : 96

Step-by-step explanation:

The scale is the ratio of model dimensions to actual dimensions:

  19 in : 152 ft = 1 in : 8 ft = 1 in : 96 in = 1 : 96

__

The scale can be expressed in mixed units as 1 in : 8 ft, or it can be expressed as the pure ratio 1 : 96.

Answer:

20 minutes

4:00 - 3:40 = 20 minutes

Answer:

20 minutes

Step-by-step explanation:

Step-by-step explanation:

1. 1/6d - 8 = 5/8

1/6d -8 + 8 = 5/8 + 8

1/6d = 69/8

1/6d / 1/6 = 69/8 / 1/6

d = 51.75 or [tex]51\frac{3}{4}[/tex]

2. 3x - 4 + 5x = 10 - 2z

8x - 4 = 10 - 2z

8x - 4 + 4 = 10 - 2z + 4

8x = 14 - 2z

8x / 8 = (14 - 2z) / 8

x = [tex]\frac{14 - 2z}{8}[/tex]

3. 7(c  - 3) = 14

7(c - 3) / 7 = 14 / 7

c - 3 = 2

c - 3 + 3 = 2 + 3

c = 5

4. 11(m / 22 + 3 / 44) = 87

m / 22 + 3 / 44 = 87 / 11

m / 22 + 3 / 44 = 348 / 44

m / 22 = 345 / 44

m = 172.5

5. ck + 5k = a

k(c + 5) = a

k = [tex]\frac{a}{c+5}[/tex]

Answer:

40°

Step-by-step explanation:

e = 20°

d = 20°

c = 140°

b = 40°

If one angle in the circle is 20° then the measure of b is 40°.

Alternate exterior angles are those angles which are formed when two parallel lines are intersected by a transversal line and angle formed outside is known as alternte exterior angles.

When we observe the angles then we can say that d and 20° angles are alternate exterior angles. We can say that b=2d.So we have to put the value of d in the above formula to get the value of b.

b=2*20

=40°

Hence if one angle in the circle is 20° then the measure of b is 40°.

Learn more about alternate exterior angles at https://brainly.com/question/2398628

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Step-by-step explanation:

volume = lbd + πr²h

l = 12 , b = 7 , d = 4 , r = 3 and h = 10

V = 336 + 90π

surface area = [2(lb + ld + bd) - πr²] - [2πrh + πr²]

= 320 - 9π - 60 - 9π

= 260 - 18π

Answer:

Yes, the bill is absolutely accurate

Step-by-step explanation:

Cost of materials= $ 678.12

Final  bill amount(given)=$1206.12

Rate= $32 per hour for 16.5 hrs

Total amount for 32 hrs = time * rate = 16.5* 32=$528

Therefore, by the problem ,

Cost of materials+ Total amount  for 32 hrs = Final bill amount

= 678.12+ 528

=1206.12

Therefore , the final bill amount is 100% accurate as it completely matches with the given bill amount