What are the values of x and y, based on the figure on the right?

Answer:

The number of pencils that needs to be placed at the other 1 inch end to get a balance again is approximately 3 pencils

Step-by-step explanation:

The given parameters are;

The length of the ruler used as a seesaw = 12 inch

The location where the pencil is placed = Under the 4 inch mark

The location where the weight is placed to balance the seesaw = The 2 inch mark

Therefore, the pencil at the 4 inch mark is fulcrum

The location where a pencil is placed on the ruler = The 12 inch end

The number of pencils, x, that needs to be placed at the other 1 inch end to get a balance again is given as follows;

The distance of the pencil at the 12 inch end from the fulcrum = 12 inches - 4 inches = 8 inches

The distance of the pencils placed at the 1 inch end from the fulcrum = 4 inches - 1 inch = 3 inches

Therefore at balance point, (equilibrium) the anticlockwise moment = The clockwise moment, which gives;

The mass of 1 pencil × 8 inches = x × The mass of 1 pencil × 3 inches

x = (The mass of 1 pencil × 8 inches)/(3 inches × The mass of x × 1 pencil)

x = 8/3 = 2.[tex]\overline 6[/tex]  ≈ 3 pencils

The number of pencils that needs to be placed at the other 1 inch end to get a balance again = x ≈ 3 pencils.

Step-by-step explanation:

Amount of orange juice in 400ml glass

= 400ml * (40%/100%) = 160ml.

Amount of orange juice in 300ml glass

= 300ml * (1/2) = 150ml.

Since 150ml < 160ml, the 300ml glass contains less orange juice.

The second glass has less amount of orange juice.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Two glasses contain orange juice.

⇒ A 400ml glass is 40% full.

⇒ A 300ml glass is half full.

Now,

Since, Two glasses contain orange juice.

A 400ml glass is 40% full.

A 300ml glass is half full.

Hence, The amount of juice in first glass is,

⇒ 40% of 400

⇒ 40/100 × 400

⇒ 160 ml

And, The amount of juice in second glass is,

⇒ 300 / 2

⇒ 150 ml

Hence, The second glass has less amount of orange juice.

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Answer:

Step-by-step explanation:

-5(3)+13

Answer:

B

Step-by-step explanation:

Answer:

m = 1 and b = 5/7

Step-by-step explanation:

Take two of the points. The first two. (7, 5) and (8, 6).

We can find the slope using:

y2-y1/x2-x1

We can sub in the values:

6-5/8-7 = 1/1 = 1

So the slope is 1

now, putting this into y=mx+b, and using one of the coordinates from earlier, we can solve for b:

5 = (1)(7) + b

b = 5/7

Therefore, m = 1 and b = 5/7

Hope this helps!

Answer:

(6,9)

Step-by-step explanation:

Answer:

a,b,c

Step-by-step explanation:

edg

Answer:

A. f(x) = .001(1.77)x

B. f(x) = 2(1.5)^x/2

C. f(x) = 5(0.5)^-x

Step-by-step explanation:

Correct on Edge 2022

Answer:

If i'm correct I think that the length of a would be 4 because it shorter then five just by a minuscule measure .

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

Find the distance between (-1, 1) and (3, 4).

This problem is solved simply by plugging our x- and y-values into the distance formula:

D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−−√=

=16+9−−−−−√=25−−√=5

Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.

If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:

(x1+x22,y1+y22)

Answer:

2340 degrees.

Step-by-step explanation:

The sum of the interior angle measures of any polygon can be calculated using the following expression ([tex]n[/tex] is the number of sides the polygon has):

[tex]180(n-2)[/tex]

For a 15-sided polygon, plug in 15 for n and simplify:

[tex]180(15-2)=180(13)[/tex]

Multiply to solve:

[tex]180(13)=2340[/tex]

For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).

The sum of the interior angles of a fifteen-sided polygon is 2340°.

The formula for calculating the sum of interior angles is (n-2)×180° where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

Given that, a fifteen-sided polygon.

Now, the sum of the interior angle measures is

(15-2)×180°

= 13×180°

= 2340°

Therefore, the sum of the interior angle measures is 2340°.

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Answer: C. Hollows where water collects :)

Step-by-step explanation:

Answer:

B) 120

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

For this, we need to know the scale factor first. We can do that by looking at a same side of the two shapes.

CD = 2 and ML = 3.6

3.6 / 2 = 1.8

just to confirm, let's take MN = 7.2 and DE = 4

7.2 / 4 = 1.8

So now we know the scale factor is 1.8

Now to figure out x, we just need to use BA = 5

and because the scale factor is 1.8

so we just need to do: 5 * 1.8 = 9

Answer:

is there anymore to the question?

Step-by-step explanation:

Answer:

2x^2 + 6x + 2

Step-by-step explanation:

5 + 3x - x^2 + (3x^2 - 5x + 4 + 8x - 7) =

= 5 + 3x - x^2 + 3x^2 + 3x - 3

= 2x^2 + 6x + 2

Answer:

Step-by-step explanation:

Given the equation

Solve for x:

Incorrect equation, no solution for x when k=1

Solving for x when  k ≠ 1

Answer: 9/8

Step-by-step explanation:

you turn 1/2 into 4/8 and add that to 5/8 to get 9/8

Answer:

the answer is 3000, hope it helped :-)

Answer:

1. Straight line

2. mx+b

3. slope , y intercept

4. dont know sorry

Step-by-step explanation:

Answer:

The volume of a right circular cone that has a height of 16 m and a base with a  circumference of 14.7 m is 3,620.62 m³

Step-by-step explanation:

The right cone (or cone of revolution, or right circular cone) is the solid of revolution formed by rotating a right triangle around one of its legs. The bottom circle of the cone is called the base. That is, a cone is a three-dimensional figure with a circular base. A curved surface connects the base and the vertex.

The volume of a 3-dimensional solid is the amount of space it occupies.

The volume V of a cone with radius r is one-third the area of ​​the base B times the height h. This is:

[tex]V=\frac{1}{3}*A*h[/tex]

where A=π*r²

Then: V=[tex]\frac{1}{3}[/tex] *π*r²*h

In this case r=14.7 m and h=16 m. Replacing:

V=[tex]\frac{1}{3}[/tex] *π*(14.7 m)²*16 m

Solving, you get:

V=3,620.62 m³

The volume of a right circular cone that has a height of 16 m and a base with a  circumference of 14.7 m is 3,620.62 m³

Answer:

I think it's wrong but.....2.7

Step-by-step explanation:

15:100=0.15

0.15×18=2.7

Answer:

I Had A Dream speech

Step-by-step explanation:

Because Martin Luther king jr. had a speech and it was about his dream to make America better again

Answer:

200

Step-by-step explanation:

1 decameter =10,000

so 2,000,000/10000=200

Answer:

200

Step-by-step explanation:

To convert 2,000,000mm into Decameters

Formula = Divide the mm to 10,000

2,000,000/10,000 we get 200

Answer:

120

Step-by-step explanation:

so

this 5 interrogative marks are our 5 digit number

for the first place you have 5 choices(2, 3, 4, 5, 6)

for the second:4

for the third:3

for the fourth:2

and for the fifth:1

you multiply this choices

5×4×3×2=120

Answer:

Im pretty sure it would just be g= -p+15

Step-by-step explanation:

I really hope this helps, if not I am so sorry

Answer:

G= 1/6p -15

Step-by-step explanation:

Let's solve for g.

p=6g+90

Step 1: Flip the equation.

6g+90=p

Step 2: Add -90 to both sides.

6g+90+−90=p+−90

6g=p-90

Step 3: Divide both sides by 6.

6g/6 = p−90/6g

=1/6p−15

Step-by-step explanation:

x+y=40

y=2x-5

[tex]x = 40 - y \\ y = 2(40 - y) -5 \\ y = 80 - 2y - 5 \\ 3y = 75 \\ y =25 \\ x = 40 - y \\ x = 15[/tex]