y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
y
when
x
=
6

Answer:

suppose: the age of the man now is x

the sum of the ages of his two sons now is y

(x, y > 0, x, y € N)

so the age of the man 10 years ago is x - 10

the sum of the ages of his 2 sons ten years ago is

y - 20

because now, The age of a man is twice the sum of the ages of his two sons => x = 2y

because Ten years ago, his age was five times

the sum of their ages

=> x - 10 = 5( y - 20)

<=> x - 10 = 5y - 100

<=> 2x - 20 = 10y - 200

<=> 2x = 2y.5 - 180

but x = 2y => 2x = 5x - 180

<=> 3x = 180

<=> x = 60

=> his present age is 60

Answer:378

Step-by-step explanation:

Answer:

1) are equal (congruent), are opposite from each other

2) (11y-36)= 63.

3) Add 36 to both sides.

11y = 99. Divide both sides by 11.

Y = 9

4) Next to each other, No numerical relationship

Step-by-step explanation:

Answer:

(-3, -5) This is my answer I hope it helps

Answer:

so the question is going to be .B

Step-by-step explanation:

Answer:

4√13-6√13+10√13= 24

Step-by-step explanation:

Answer:

8√13

Step-by-step explanation:

Answer:

$6.66 and $7.04

Step-by-step explanation:

I got it right

The $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

From the central limit theorem:

σ(x) = σ/√n

The standard deviation σ = $1.25

The sample n = 180

σ(x) = 1.25/√180

σ(x) = 1.25/√1801

σ(x) = 0.0931

The lower limit = 6.85 - 0.0931 = 6.756 = 6.76

The upper limit = 6.85 - 0.0931 = 6.943 = 6.94

Thus, the $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.

Learn more about the standard deviation here:

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Answer:

Please like this i need pointgs

Step-by-step explanation:

the add 229129802032s3 9230

Answer:

C) supplementary angles

Step-by-step explanation:

C) supplementary angles

They add up to 180.

Step-by-step explanation:

Supplementary angles add up to 180 degrees

Complementary angles add up to 90 degrees

It is just a rule that is important to geometry

I hope that helps :)

Answer:

Add up to 180 degrees

Step-by-step explanation:

Supplementary angles can be two separate angles and the acute angles of a right triangle are complementary which make option 3 false. They are not always congruent and do not add up to 90 degree in total. Making option 1 and 4 false as well.

Answer:12.5

Step-by-step explanation:if its 2.5 for evry 2 units and the glass is 10 units you time and 2 * 5 is 10 and .5 * 5 is 2.5

The number of terms in the expression m/5+ 4 x 6  are three.

An expression is combination of variables, numbers and operators.

The given expression is m/5+ 4 x 6

m by five plus four multiplied with six

In the given expression plus divide and multiplication are the operators

m is the variable

m/5 is the first term

four is the second term

six is the third term

There are three terms in the expression.

Hence, the number of terms in the expression are three.

To learn more on Expressions click:

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Answer:

probably 145.15ft^2 but who really knows good luck

Step-by-step explanation:

we're gonna have to find the area of the square and circle and then subtract the square area to see the remaining shaded area's value. if the square has side of length 16 then we know it's area is 16ftx16ft=256ft^2. Now the area of the circle requires us to know its radius. we see the diagonal dashed line travels the diameter of the circle. you can use pythagoras theorem to find its length so sqrt(16^2+16^2)=22.63ft. but this is diameter and we want radius so 22.63/2=11.3ft. the formula for the area of a circle is pi*r^2 so pi*11.3^2=401.15ft^2. now we can say 401.15-256=145.15ft^2

Answer:

1.11g

Step-by-step explanation:

1 Table = 18.5 mg

60 Tablets = 60*18.5 = 1110 mg

1mg=0.001g

1110mg=1.11g

Answer:

B

Step-by-step explanation:

B

$5,136; approximately 24 months.

I got 100% on Edg.

Answer:

10mins

Step-by-step explanation:

you can draw a rtd chart for this problem

             rate (m/min)|  time (mins)  | distance (m )

regular: (300/x)  | x  | 300m

fist 1/4 : (300/x) | 75: (300/x)  | 75m

last 3/4:  | (300/x)+15 | 225:(300/x + 15) | 225m

then, make an equation for the times:

x= (75: (300/x)) + (225: ( (300/x)+15) + 2.5 = x

// get the 2.5 mins from the stop for honey, and we know that regular speed is equal to the one with a stop

solve equation to get x=-20/3 , x=10, because speed is positive, x=10 is the most reasonable answer

Answer:

the answer is c. constant interval

Answer:

<3 = 77⁰

Step-by-step explanation:

Since 77⁰ and <3 are interior angles, angles inside the parallel line are in the same. This means that <3 will be 77⁰.

Hope this helps and stay safe, happy, and healthy, thank you :) !!

?=103°

Answer:

<3+77=180 co interior angle

<7=180-77=103°

Answer:

option B is your correct answer

Answer:

The investors are: -3, -1 and 1

Step-by-step explanation:

Given

Three consecutive odd numbers

[tex]Sum = -3[/tex]

Required: Determine the odd numbers

Let the smallest be x. So, the other 2 are: x + 2 and x + 4.

The sum is then:

[tex]Sum = x + x + 2 + x +4[/tex]

[tex]Sum = 3x +6[/tex]

[tex]3x +6 = -3[/tex]

Collect Like Terms

[tex]3x = -3-6[/tex]

[tex]3x = -9[/tex]

[tex]x=-3[/tex]

The other two are:

[tex]x + 2 = -3 + 2 = -1[/tex]

[tex]x + 4 = -3 + 4 = 1[/tex]

Hence, the investors are: -3, -1 and 1

Answer:it is C

Step-by-step explanation:

Answer:

99.75

Step-by-step explanation:

Answer:

Its 6.5

Step-by-step explanation:

Answer:

90 inches

Step-by-step explanation:

hope it may help u I am sure about the ans

if possible mark me brainlist

Answer:

x=6.54

Step-by-step explanation:

Start off by cross multiplying what you are given ;)

6*109=654

Since you are solving for the missing variable x divide 654/100

The final answer will be 6.54

Hope this helps if not just reply so I can better explain

Answer:

y = -2x + 28

Step-by-step explanation:

Slope intercept form is-

y = mx + b

y = y coordinate

m = slope, the rise/run

x = x coordinate

b = the y-intercept, the place the line crosses the y-axis.

Now, fill in the formula with the proper information.

y = -2x + b    You can use the point (10, 8) for the x and y coordinates to find b

  8 = -2(10) + b     Now solve for b

  8 = -20 + b

+20  +20

28 = b                    Now substitute 28 in for b

y = -2x + 28

Answer:

y-8=-2(x-10)

Step-by-step explanation:

y-y1=m(x-x1)

y-8=-2(x-10)

The graph for the first is line segment joining (x, y) = (−2,−4)and (2, 4), sans the end points. The second part is the line through (-2, -6) and (-3, -9), from (-2, -6), excepting (-2, -6). ..

Step-by-step explanation: you are using y for the piecewise function.