The sum of ages of 3 siblings, Alice, Bruce and Chuck is 27. The sum of ages of Alice and Bruce is 14 and the sum of ages of Bruce and Chuck is 22. Find each sibling's age by using system of linear equations.​

Answer:

x = 23

Step-by-step explanation:

These are supplementary angles so the sum of those angles add up to 180:

3x + 16 + 5x - 20 = 180

8x - 4 = 180

8x = 180 + 4

8x = 184

x = 184/8

x = 23

Answer:

61.13

Step-by-step explanation:

[tex]2\pi(4) = 8\pi = 25.13[/tex]

[tex]25.13 + 10 + 10 + 8 + 8 = 61.13[/tex]

Answer:

The answer is "Its next hockey game is probably the Texas Sharpshooters who've had exactly 1 goal 0.5".

Step-by-step explanation:

The exploratory probabilities are called chances of possible dangers based on previous cases.

[tex]Experimental \ probabilities = \frac{Appropriate \ results}{Total\ results}[/tex]

The chance which Texas Sharpshooters will be scoring precisely

Next game of 1 goal

If demonstrated at the table:

Positive effects are 1 repeated 4 times

So, positive results [tex]= 4[/tex]

Outcomes total [tex]= 8[/tex]

Odds [tex]= \frac{4}{8} = 0.5[/tex]

The probability that Texas Sharpshooters will achieve exactly 1 goal is 0.5

Answer: the is  1560

Step-by-step explanation:

5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and  28 work days

Answer:

1.) D

2.) F

3.) C

4.) H

Step-by-step explanation:

i am positive on 4, but not totally sure on 1, 2, and 3

Answer:

a

Step-by-step explanation:

a

Answer:

19km

Step-by-step explanation:

The formula for the perimeter of a triangle is: S+S+S.

So;

19km+19km+a=57km

a=57km-19km-19km

=19km

Answer:

Ava is incorrect

Step-by-step explanation:

Given

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]

[tex]Ava: \frac{(2x - 3y)^2}{(3y - 2x)^2} = -1[/tex]

Required

Determine if Ava is correct or not

Ava's solution is incorrect and the proof is as follows;

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]

Apply the following law of indices;

[tex]\frac{a^n}{b^n} = (\frac{a}{b})^n[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{2x - 3y}{3y - 2x}]^2[/tex]

Rewrite the numerator

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-(3y - 2x)}{3y - 2x}]^2[/tex]

Cross out the common factor of the numerator and denominator

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-1}{1}]^2[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [-1]^2[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = 1[/tex]

Hence, the solution is 1; not -1

Her mistake is that, she did not apply the square on -1, after she factorize the denominator

Answer:

incorrect

Step-by-step explanation:

Answer:

8w + 18 = 57

bonus answer: w = 4.875 or 5 weeks

Step-by-step explanation:

Answer:

V = 72 ft³

Step-by-step explanation:

V = (3 x 8 x 2) + (4 x 2 x 3) = 72 ft³

Answer:

Try 1,152

Step-by-step explanation:

I think you have to multiply all the numbers and get 1,152. I'm not that good at math but.

Answer:

y = 2 * 4^x

Step-by-step explanation:

We could define a wide variety of rules!

It turns out that any set of n (x, y) pairs can be modeled by a singular polynomial of degree (n-1) or less, and by infinitely many polynomials of degree n or more! And we're only talking polynomials!

Let's input it into a polynomial interpolation calculator:

[tex](27 x^4)/4 - (63 x^3)/2 + (225 x^2)/4 - (51 x)/2 + 2[/tex]

Well I don't love this.

Let's try to actually look for patterns. We see that the function is rapidly increasing. More and more, actually. Let's look for the ratios of each next y

8/2 = 4

32/8 = 4

128/32 = 4

512/128 = 4

BINGO!

So we can define the rule as:

y = 2 * 4^x

Answer:

The variable is D

Step-by-step explanation:

a variable is an unknown quantity among an equation

Answer:

5x

Step-by-step explanation:

5x + 20 - 20 = 5x

Answer:

650

Step-by-step explanation:

[tex]7/10s = 455\\7s = 4550\\s = 650[/tex]

Answer:

650

Step-by-step explanation:

[tex]\frac{70}{100} =\frac{455}{y}[/tex]

First, to answer this you cross multiply. This means:

[tex]45,500=70y[/tex]

Now you divide each side by 70, and you get 650

Answer:

c. (1/2, 8)

Step-by-step explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

-2x + y = 7

Step 1: Subtract y from both sides of the equation.

-2x = -y + 7

Step 2: Divide both sides by -2

x = 1/2y - 7/2

Substitute what you see above this statement for y in the other equation.

6(1/2y - 7/2) + y = 11

Step 3: Multiply 6 by 1/2y - 7/2.

3y - 21 + y = 11

Step 4: Combine y and 3y.

4y - 21 = 11

Step 5: Add 21 to both sides

4y = 11 + 21

4y = 32

Step 6: Divide both sides by 4.

y = 32/4

y = 8

Step 7: Substitute 8 for y in x = 1/2y - 7/2 Because the resulting equation contains only one variable, you can solve for x directly.

x = 1/2(8) - 7/2

Step 8: Multiply 1/2 by 8.

x = 4 - 7/2

Step 9: Add -7/2 to 4.

x = 1/2

The system is now solved, and we get C (1/2, 8) as our answer.

Answer:

C

Step-by-step explanation:

I did the test myself

Answer:

10

Σ [n^2]

i=1

Step-by-step explanation:

Hope I helped? I inserted it into a calc and I also got 385 for something if its useful))

Answer:

It would be number 3. 1/7,3/7,4/7,6/7

Step-by-step explanation:

For fractions if the denominator is the same you go to the numerator (the top number) to compare. The bigger the numerator is (like 6) the higher it should go on your list.

the awnser is 123 million I am sure of it

Answer:123 million.

Step-by-step explanation: From 1992 to 1997, it grew by 5 million in 5 years. That means it grew by a million people every year. 2012-1997=15. That means it grew by 15 million. 108+15=123.

Answer:

Area of model pond = 45.6 inch² (Approx.)

Step-by-step explanation:

Given:

Circumference of circular pond = 24 inches

Find:

Area of model pond

Computation:

Circumference of circle = 2πr

Circumference of circular pond = 2πr

24 = 2[22/7][r]

Radius r = [24 x 7] / [2 x 22]

Radius r = 3.81 inch (Approx.)

Area of circle = πr²

Area of model pond = πr²

Area of model pond = (22/7)(3.81)²

Area of model pond = [3.1428][14.5161]

Area of model pond = 45.6 inch² (Approx.)

Answer:

(34-30)/(4-2)=4/2=2

(38-34)/(6-4)=4/2=2

Step-by-step explanation: basically, we are just trying to calculate the slope, so (y2-y1)/(x2-x1), then you will get your answer

Answer:

its  b

Step-by-step explanation:

took the quiz

Answer:

I would go with D

Step-by-step explanation:

You can look at the graph and answer it

Answer:

Horizontal lines have no vertical change -- it continues straight left or right. In other words, the change in the y values between any points on the graph is 0, since there is no change. This means that the slope of a horizontal line is 0

Step-by-step explanation:

hope this helps

Answer:

0

Step-by-step explanation:

The line's slope remains constant throughout, its a line that passes through the y - axis therefore it's slope will be 0.

Answer:

C. 10cm

Step-by-step explanation:

First we can rearrange the equation to solve for length (l):

V = lwh

Divide both sides by wh:

l = V/(wh)

Substitute in known values:

l = 1200/(15x8)

l = 1200/120

l = 10cm

Hope this helped!

Answer:

134 is your answer hope it helps

Step-by-step explanation:

Answer:

I think the answer is b

Step-by-step explanation:

1.29/15= 0.086 this is the lowest cost out of all them

Answer: yea person on top of me is  right b 15 ounce

Step-by-step explanation:

The answer is 87

For this problem, the method I used was more of a guess and check because I simply plugged the options into a calculator to see which one would be closest a little bit past 9.3 but not all the way 9.4

the square root of 87 is 9.32 so you would round down while the square root of 88 is 9.38 which would round up

Hope this helps :)

Answer:

no

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-2 - 5 = -7

Answer:

-7 degree

Step-by-step explanation: