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NemiM [27]
2 years ago
8

The ratio

Mathematics
1 answer:
vaieri [72.5K]2 years ago
3 0
1 : 100,000
Because there are 100cm in a m and 1000m in a km
100 x 1000 = 100,000
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Jelly beans cost $2.00 for 4 packages. There were 25 students. How much money will be needed so that each
il63 [147K]

Answer:

14$

Step-by-step explanation:

2 Packages Will Be Left Over

6 0
3 years ago
Read 2 more answers
Solve the linear equation - 7(x + 2) = -3(x - 5) for x
melisa1 [442]

x= −29/4

Answer:

Step-by-step explanation:

−7(x+2)=−3(x−5)

Step 1: Simplify both sides of the equation.

−7(x+2)=−3(x−5)

(−7)(x)+(−7)(2)=(−3)(x)+(−3)(−5)(Distribute)

−7x+−14=−3x+15

−7x−14=−3x+15

Step 2: Add 3x to both sides.

−7x−14+3x=−3x+15+3x

−4x−14=15

Step 3: Add 14 to both sides.

−4x−14+14=15+14

−4x=29

Step 4: Divide both sides by -4.

−4x −4

x=29/−4

x= −29/4

3 0
3 years ago
1) which of the following statements is true about U.S. Rule?
serious [3.7K]
1) --
2) --
3) 175,900 / 12.5% = 1,407,200  CHOICE B.
4) SUPPLIES
5) PURCHASES
6) 5,000 + 21,800 - 790 - 5,100 = 20,910  CHOICE D.
7) D. 50%
8) C. UNITS OF PRODUCTION
9) B. INCOME STATEMENT
10) A.) 6,480
11) D.)  MULTIPLIED BY BOOK VALUE AT THE BEGINNING OF THE YEAR.
3 0
3 years ago
Five chips numbered 1 through 5 are placed in a bag. A chip is drawn and replaced. Then a second chip is drawn. Find the probabi
Vesna [10]

12345

The odds of drawing an even chip are \frac{2}{5}.

The odds of drawing an odd chip are \frac{3}{5}.

You multiply the two \frac{2}{5} x  \frac{3}{5} =  \frac{6}{25}.

Knowing you cannot simplify 6/25 any further, you now have your answer!


Hope this helps! <3

6 0
3 years ago
XY is a diameter of a circle and Z is a point on the circle such that ZY=6. If the area of the triangle XYZ is 18 square root 3
nataly862011 [7]
<h2>Answer:</h2>

4π

<h2>Step-by-step explanation:</h2>

As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:

A = \frac{1}{2} x b x h      -------------(i)

Where;

A = 18\sqrt{3}

b = XZ = base of the triangle

h = YZ = height of the triangle = 6

<em>Substitute these values into equation(i) and solve as follows:</em>

18\sqrt{3} =  \frac{1}{2} x b x 6

18\sqrt{3} =  3b

<em>Divide through by 3</em>

6\sqrt{3} =  b

Therefore, b = XZ = 6\sqrt{3}

<em>Now, assume that the circle is centered at O;</em>

Triangle XOZ is isosceles, therefore the following are true;

(i) |OZ| = |OX|

(ii) XZO = ZXO = 30°

(iii) XOZ + XZO + ZXO = 180°   [sum of angles in a triangle]

=>  XOZ + 30° + 30° = 180°

=>  XOZ + 60° = 180°

=>  XOZ = 180° - 60°

=>  XOZ = 120°

Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;

\frac{sin|XOZ|}{XZ} = \frac{sin|ZXO|}{OZ}

\frac{sin120}{6\sqrt{3} } = \frac{sin 30}{OZ}

\frac{\sqrt{3} /2}{6\sqrt{3} } = \frac{1/2}{|OZ|}

\frac{1}{12}  = \frac{1}{2|OZ|}

\frac{1}{6} = \frac{1}{|OZ|}

|OZ| = 6

The radius of the circle is therefore 6.

<em>Now, let's calculate the length of the arc XZ</em>

The length(L) of an arc is given by;

L = θ / 360 x 2 π r          ------------------(ii)

Where;

θ = angle subtended by the arc at the center.

r = radius of the circle.

In our case,

θ = ZOX = 120°

r = |OZ| = 6

Substitute these values into equation (ii) as follows;

L = 120/360 x 2π x 6

L = 4π

Therefore the length of the arc XZ is 4π

5 0
3 years ago
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