Stan's, Mark's, and Wayne's ages are consecutive whole numbers. Stan is the youngest, and Wayne is the oldest. The sum of their ages is 111. Find their ages.

Answer:

x = 2

Step-by-step explanation:

Equation: 2x + 6 = 10

2x = 4

x = 2

Answer:

let the number be x

then

2x + 6 = 10

2x = 10-6

2x = 4

x = 2

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Answer:

x= –4/5 , x= 2

Step-by-step explanation:

5x²-6x-14=-6

5x² –6x –14 +6=0

5x²–6x –8=0

(5x+4)(x-2)=0

x=–4/5

x=2

Hi! I'm happy to help!

To solve this, we simply have to replace x with the given values.

First, we have -14, let's apply that:

(5·(-14²))-(6·(-14))-14=

Now, let's solve (using the order of operations):

(5·(-14²))-(6·(-14))-14=

(5·196)-(6·(-14))-14=

980-(6·(-14))-14=

980-(-84)-14=

980+84-14=

1064-14=

1050=

1050≠-6

Option 1 is incorrect.

Next, let's substitute 14 for x:

(5·14²)-(6·14)-14=

Now, let's solve:

(5·14²)-(6·14)-14=

(5·196)-(6·14)-14=

980-(6·14)-14=

980-84-14=

896-14=

880=

880≠-6

Option 2 is incorrect.

Now, let's substitute -7 for x:

(5·(-7²))-(6·(-7))-14=

Now, let's solve:

(5·(-7²))-(6·(-7))-14=

(5·49)-(6·(-7))-14=

245-(6·(-7))-14=

245-(-42)-14=

245+42-14=

287-14=

273=

273≠-6

Option 3 is incorrect.

Now, let's substitute 7 for x:

(5·7²)-(6·7)-14=

Now, let's solve:

(5·49)-(6·7)-14=

245-(6·7)-14=

245-42-14=

203-14=

189=

189≠-6

Option 4 is incorrect.

Now, let's substitute -2 for x, and solve:

(5·(-2²))-(6·(-2))-14=

(5·4)-(6·(-2))-14=

20-(6·(-2))-14=

20-(-12)-14=

20+12-14=

32-14=

18=

18≠-6

Option 5 is incorrect.

Now, let's substitute 2 for x and solve:

(5·2²)-(6·2)-14=

(5·4)-(6·2)-14=

20-(6·2)-14=

20-12-14=

8-14=

-6=

-6=-6

Option 6 is correct.

Now, let's substitute -1 for x and solve:

(5·(-1²))-(6·(-1))-14=

(5·1)-(6·(-1))-14=

5-(6·(-1))-14=

5-(-6)-14=

5+6-14=

11-14=

-3=

-3≠-6

Option 7 is incorrect.

Now, let's substitute 1 for x and solve:

(5·1²)-(6·1)-14=

5-(6·1)-14=

5-6-14=

-1-14=

-15=

-15≠-6

Option 8 is incorrect.

Now, let's substitute -4/5 for x and solve:

(5·(-4/5²))-(6·(-4/5))-14=

(5·0.64)-(6·(-4/5))-14=

3.2-(6·(-4/5))-14=

3.2-(-4.8)-14=

3.2+4.8-14=

8-14=

-6=

-6=-6

Option 9 is correct.

Now let's substitute 4/5 for x and solve:

(5·4/5²)-(6·4/5)-14=

(5·0.64)-(6·4/5)-14=

3.2-(6·4/5)-14=

3.2-4.8-14=

-1.6-14

-15.6

-15.6≠-6

Option 10 is incorrect.

To summarize, you should pick option 6, and option 9.

I hope this was helpful, keep learning! :D

Answer:

Step-by-step explanation:

Let the height above which the ball is released be  H  

This problem can be tackled using geometric progression.

The  nth  term of a Geometric progression is given by the above, where  n  is the term index,  a  is the first term and the sum for such a progression up to the  Nth  term is

Answer:  77 feet

Explanation:

Because all sides are the same for a regular hexagon, we simply divide the perimeter by 6 to get the side length.

side length = perimeter/6 = 462/6 = 77 feet

Answer:

10.89

Step-by-step explanation:

3.3 to the power of two is just saying 3.3 squared. which is just multiplying the number by itself.

so 3.3 times 3.3 = 10.89

Answer:

10boys, 17 girls

Step-by-step explanation:

10+17=27,

17-10=7

Answer: there are 17 girls in the class

Step-by-step explanation:

let the number of boys be x

and the number of girls be re[presented as 7+x

Since there are a class of 27 containing the sum of the boys and girls, we have our equation as

boys +girls =27

x+ 7+x=27

7+2x =27

2x=27-7

2x=20

x=20/2=10

Boys =x=10

girls= 7+x=7+10=17

See similar question here: https://brainly.com/question/21953702

Answer:

X=3,1/4

Step-by-step explanation:

4x²-(12+1)x+3=0

or,4x²-12x-x+3=0

or,4x(x-3)-1(x-3)=0

or,(4x-1)(x-3)=0

Either,4x-1=0➡️ 4x=1

X=1/4

OR,x-3=0➡️ X=3

Answer:

c)9

Step-by-step explanation:

f(x)=2x+1

f(1)=2(1)+1

f(1)=2+1

f(1)=3

g(x)=7/4 x+1

g(-4)=7/4 (-4)+1

g(-4)=-7+1

g(-4)=-6

f(1)-g(-4)=3-(-6)

=3+6

=9

Answer:

h(f(x))

=2(x-7)+3

=2x-14+3

=2x-11

Answer:

a the b is correct

Step-by-step explanation:

Answer:

40 000

Step-by-step explanation:

4 thousands = 4000

10 x 4000 = 40 thousands = 40 000

Answer:

40,000

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

as it is of the form p/q

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Answer:

[tex] \sqrt{2} + 2 \sqrt{3} [/tex]

Step-by-step explanation:

Simplify

[tex]2 \sqrt{3 } + \sqrt[2]{2} [/tex]

➡️ [tex] = \sqrt{2} + 2 \sqrt{3} [/tex] ✅

Answer:

80 in

Step-by-step explanation:

A = 1/2bh

400 = 1/2(10)h

400 = 5h

h = 80

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

Step-by-step explanation:

Apply the natural log to both sides we have

[tex](-(2/3)x -1 ) \ln 2 = (3-2x)\ln 3\\-x(2/3)\ln 2 + 2x\ln 3 = 3\ln 3 -\ln 2\\x\left(\frac{-2}{3}\ln 2 +2\ln 3\right)=\ln (27/2)\\x\left(\ln 9 -\ln \sqrt{8}) =\ln(27/2)\\\\x\ln (9/\sqrt{8})=\ln(27/2)\\\\x= \ln(27/2) / \ln(9/\sqrt{8})[/tex]

Answer:

D

Step-by-step explanation:

a^5 (3) -> a^15

2^3 (3) -> 2^9

the answer = a15 . 2^9

Step-by-step explanation:

153^2×7

163863

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Step-by-step explanation:

B)1.supplementary

2.complementary

3complementary

4supplementary

5supplementary

6complementary

C)1.40

2.35

3.63

4.130

Answer:

68.88m

Step-by-step explanation:

√(x²-x²)²+(y²-20)²

Step-by-step explanation:

67.5 minutes of the movie that was left

Answer:

To find when a function is increasing, you must first take the derivative, then set it equal to 0, and then find between which zero values the function is positive. Now test values on all sides of these to find when the function is positive, and therefore increasing.

Answer:

-2 ,2

Step-by-step explanation:

Answer:

Ten

Step-by-step explanation:

5000/500 = 10

Answer: 10 times as many 5 hundreds

Step-by-step explanation: five times five hundreds equals 5,000

Answer:

104

Step-by-step explanation:

The measure of angle 4 for the given parallel lines and angle is equal to 26°.

In the figure the parallel lines and the transversal forms angle 1 , angle 2 , and angle 4.

As per the diagram,

Angle 1 is vertically opposite angle to angle 2.

This implies,

Measure of angle 1 = Measure of angle 2.

Here, Measure of angle 1 =  26 degrees.

⇒ Measure of angle 2 = 26 degrees ( vertically opposite angles)

Now , Angle 2 and angle 4 are corresponding angles.

⇒measure of angle 2 = measure of angle 4

⇒ Measure of angle 4 = 26 degrees.

Therefore, the measure of angle 4 is equal to 26°.

Learn more about measure here

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Answer:

d. 0.25q+0.10d

Step-by-step explanation:

Because quarters are equivalent to 0.25 and dimes are 10 cents, option d is correct.

The expression to find the total amount of money in Andrea's jar is: 0.25q + 0.10d.

Thus, option (D) is correct.

A quarter is worth $0.25, and the number of quarters is represented by q.

A dime is worth $0.10, and the number of dimes is represented by d.

To calculate the total amount of money, multiply the value of each coin by the respective quantity and sum them up.

So, the expression to find the total amounts is 0.25q + 0.10d

Here, expression accounts for the value of each coin (0.25 for a quarter and 0.10 for a dime) and multiplies it by the corresponding quantity to obtain the total amount of money in dollars.

Thus, option (D) is correct.

Learn more about Expression here:

https://brainly.com/question/34132400

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90,000 units of the product has to be sold each year in other to break even.

The old established price = 42 per unit :

The break even unit is the number of units sold such that the net profit = 0

(expenses - income) = 0

The expenses = (Fixed cost + variable cost)

Fixed cost = 540000

Fixed cost = 540000Variable cost per unit = 36

Let the number of units required to break even = x

Expenses = income or revenue

(540000 + 36x) = 42x

540000 + 36x = 42x

540000 = 42x - 36x

540000 = 6x

x = 540000 / 6

x = 90000

Hence, 90,000 units has to be sold at the old established price in other to break even.

Learn more : https://brainly.com/question/15612181