Find x AND the length of each side if FGH is an equilateral triangle. (Round to the nearest tenth if needed)

Answer:

The number of tickets sold are

Children = 256

Adults = 486

senior citizen = 204

Step-by-step explanation:

let

x = children ticket  = $10 per piece

y = adult ticket = $14 per piece

z = senior citizen = $6 per piece

x + y + z = 946 ( total tickets sold ) ---------- ( 1 )

Total receipt for performance

10x + 14y + 6z = $10588   --------------- ( 2 )

since the combined number of children and Adult tickets exceeded twice the number of senior citizen tickets by 334

x + y - 2z = 334 --------- ( 3 )

substract equation 3 from equation 1

3z = ( 946 - 334 ) = 612 therefore Z = 204

next we multiply equation (1) by 14

14x + 14y + 14z = 13244 ---------- ( 4 )

substract equation (2) from ( 4 )

4x + 8z = 2656

= 4x + 8(204) = 2656

= 4x = 2656 - 1632

therefore : x = 256

back to equation 1

256 + y + 204 = 946

y = 946 - ( 256 + 204 ) = 486

Hence the number of tickets sold are

Children = 256

Adults = 486

senior citizen = 204

Answer:

8

Step-by-step explanation:

12 +4x = 36

Then solve the linear eqn

Answer:

5/ 6/8 < 4/ 3/8, is less than

Step-by-step explanation:

6/8=.75

5/.75=6.6

3/8=.38

4/.38=10.5

Answer:

[tex] x = \sqrt{189} [/tex]

Step-by-step explanation:

Use pythagorean theorem to solve for x.

Thus:

[tex] a^2 + b^2 = c^2 [/tex]

Where,

a = 6

b = x = ?

c = 15

Plug in the values into the equation

[tex] 6^2 + x^2 = 15^2 [/tex]

[tex] 36 + x^2 = 225 [/tex]

Subtract 36 from each side

[tex] x^2 = 225 - 36 [/tex]

[tex] x^2 = 189 [/tex]

Take the square root of both sides

[tex] x = \sqrt{189} [/tex]

Answer:

6?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Two solutions were found :

z =(2-√-116)/-20=1/-10+i/10√ 29 = -0.1000-0.5385i

z =(2+√-116)/-20=1/-10-i/10√ 29 = -0.1000+0.5385i

Step-by-step explanation:

11/18 = 0.61111111 (continuing)

3/18 = 0.166666 (continuing)

4/18 = 0.222222(continuing)

caramel = 0.2222222 x taffy = 0.6111111111

probability = 0.1358024691358, 0.136.

13.6%

The probability that the first candy selected is caramel and the second candy is taffy is 0.175

Probablity is the likelihood or chance that an event will occur.

Probability = expected/total

If a box has 18 candies in it, the total outcome will be 18

If the probability that the first candy selected is caramel is 4/18

If the probability that the second candy selected is randy is 11/18

Pr(caramel and randy) = 4/18 * 11/18

Pr(caramel and randy) = 2/9* 11/18
Pr(caramel and randy) = 11/63

Hence the probability that the first candy selected is caramel and the second candy is taffy is 0.175

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Answer:

52 / 15  =3  7/15  ≈3.467

Step by step

2 2/3+4/5 =52/15  then you simplify 52/15 = 3 7/15

175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If v is the amount of the 70% solution that you use, then that amount contains 0.7v mL of alcohol.

Mixing these two yields a total volume of 175 mL + v, and it contains 43.75 mL + 0.7v alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:

(43.75 mL + 0.7v) / (175 mL + v) = 0.45

Solve for v :

43.75 mL + 0.7v = 0.45 (175 mL + v)

43.75 mL + 0.7v = 78.75 mL + 0.45v

0.25v = 35 mL

v = 140 mL

Answer:

the tires cost 350 with the discount

Step-by-step explanation:

Answer:

y = 4x - 3

General Formulas and Concepts:

Algebra

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 4

y-intercept b = -3

Step 2: Write linear function

y = 4x - 3

========================================

Work Shown:

x = (4+6i)^2

x = (4+6i)(4+6i)

x = y(4+6i)  ...... let y = 4+6i

x = 4(y)+6i(y)  ..... distribute

x = 4(4+6i)+6i(4+6i)  .... plug in y = 4+6i

x = 16+24i+24i+36i^2  ..... distribute again

x = 16+24i+24i+36(-1)  .... use the fact that i^2 = -1

x = 16+24i+24i-36

x = 16-36+24i+24i

x = -20+48i

Answer:

A -20+28i

Step-by-step explanation:

Answer:

2.3 I think okay wrong or right

Answer:

each bag of hot cheetos cost $1.25

Answer:

1500 divided by 8 = 187.5

Step-by-step explanation:

1,500 divided by 8 is equal to 187, with the remainder of 4.

To divide 1,500 by 8 step by step, we can follow the long division method.

We start by dividing the first digit of the dividend (1) by the divisor (8). Since 1 is smaller than 8, we move to the next digit of the dividend.

We bring down the next digit of the dividend (5) and divide 15 by 8. The quotient is 1, and the remainder is 7.

8 ) 1,500 ( 187R4

    - 8

    _____

     70

   - 64

    _____

      60

    - 56

    _____

        4

Quotient = 187

Remainder = 4

Therefore, 1,500 divided by 8 is equal to 187, with the remainder of 4.

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Answer:

its to find the quotient, start by dividing 25 into 1658

Step-by-step explanation:

for the following question its 66.32 and 66 8/25 (hope this helps bud)

Answer:

C. 86.^6

Step-by-step explanation: That the answer or whateva

Answer:

-3(3y+1)

Step-by-step explanation:

sorry if wrong

Answer:

99.166666666666666666666; 595/6; 99 1/6; 99

Step-by-step explanation:

THE FORMULA IS (x)/(170)=(35)/(60)

solve for x

copy the formula in bold and paste it to math w]y:

(x)/(170)=(35)/(60)

choose the option to solve for x and 99.666666666666∞ is the answer.

Answer:

10! because 3 to get 15 is 5 and 2×5 is 10

Answer:

10 presents

Step-by-step explanation:

3 x 5 = 15, and 2 x 5 =10

Answer:

the first one is right and other are wrong

Answer:

54

Step-by-step explanation:

the sum of all angles of a triangle must equal 180.

180 - 76 - 50 = 54

Answer:

54

the sum of all angles of a triangle must equal 180.

180 - 76 - 50 = 54

Answer: Add 4x to both sides.

Step-by-step explanation:

Answer:

Jane must pay $ 5,947.2 over 12 months. Of that amount, $ 637.2 will correspond to interest generated by the loan, which will be paid in 12 installments of $ 495.6.

Step-by-step explanation:

Jane Windsor acquired a ski boat for $ 5,900, paying a down payment of 10% and financing the remainder of the price at an annual interest rate of 12%.

Thus, since 5,900 x 0.1 is equal to 590, the financed amount arises from the subtraction between 5,900 minus 590, which yields a financed amount of $ 5,310.

Therefore, the amount to be paid monthly arises from the following calculation:

5,310 x 1.12 = Amount with interest

5,947.2 = Amount with interest

5,947.2 - 5,310 = Interest

637.2 = Interest

5,947.2 / 12 = Monthly payments

495.6 = Monthly payments

Therefore, Jane must pay $ 5,947.2 over 12 months. Of that amount, $ 637.2 will correspond to interest generated by the loan, which will be paid in 12 installments of $ 495.6.

Answer:

Thats it?

Step-by-step explanation:

Answer:

No answer...

Step-by-step explanation:

Ok so roy has 300$ and nothing else?

Answer:

U should do like this...

Answer:

d. Definite integral can be used to calculate area under a curve in a given interval

General Formulas and Concepts:

Calculus

Integration

Area of a Region Formula:                                                                                    [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

We know that by definition, an integral is an antiderivative.

Also by definition, an integral is also the area under the curve. This can be extended to area between 2 curves.

We have a formula specifically to find an area under a curve (region), as listed above.

∴ our answer is D.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

A

False

Step-by-step explanation:

Answer:

1) increase

explanation: In most plants, the uptake of CO2 through photosynthesis is reduced by a side reaction called photorespiration. The research group has now found that the CO2 increase in the atmosphere over the 20th century has shifted the balance between photosynthesis and photorespiration toward photosynthesis.

2) think its false

Answer:

11/30 or 0.36

Step-by-step explanation:

Answer:

11/30

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(1/5, 1/6) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(1/5×6/6)+(1/6×5/5)=?

Complete the multiplication and the equation becomes

630+530=?

The two fractions now have like denominators so you can add the numerators.

6+5/30=11/30

The fraction cannot be simplified, final answer 11/30