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3 years ago

2/3 of all the people who attended a certain party arrived by 8:00 PM. How many people arrived by 8:00 PM?

Mathematics

1 answer:

andreev551 [17]3 years ago

4 0

Answer:

a) How many people who attended a certain party arrived by 8 PM 60 people

Step-by-step explanation:

2/3 of all people who attended a certain party arrived by 8 P.M . That means that 1/3 arrived in other time. But 2/3 + 1/3 is total number of people in the party.

1) 9 people arrived after 9 PM

And in 2

2) .... By 9 .00 PM 90 % of people were already in the party and. That means

that 9 people who arrived after are 10 %

Then if 9 people are 10 %

x people are 100%

x = (100*9)/10 ⇒ x = 900/10

x = 90

Here we got total number of people in the party 90

Then 2/3 of 90 is 180/3 60

1/3 0f 90 is 30

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The perimeter of a rectangle is 62 m. The length is four more than two times the width. What is the length?

Travka [436]

--------------------------------------------------
Define length and width
--------------------------------------------------
Let x be the width
width = x
Length = 2x + 4

--------------------------------------------------
Formula
--------------------------------------------------
Perimeter = 2(length + width)

--------------------------------------------------
Find Length and width
--------------------------------------------------
62 = 2(2x + 4 + x)
62 = 2(3x + 4) ← combine like terms 
62 = 6x + 8 ← remove bracket 
62 - 8 = 6x ← minus 8 on both sides 
6x = 54 ← swap sides 
x = 54 ÷ 6 ← divide by 6 on both sides
x = 9 m

--------------------------------------------------
Find Length and Width
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Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m

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Answer: Length = 22m
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3 0

3 years ago

Read 2 more answers

Expand the following 5(2x-4)

Yuliya22 [10]

Answer:

x= 2

Step-by-step explanation:

5*2= 10 then add the x at the end

5*4=20

then you divide both sides by 10

(10x/10)- (20/10)

x= 2

or if your rewriting it then:

(5*2x)- (5*4)=?

Hope this helped :D

8 0

3 years ago

Hunter is bisecting the angle shown. When drawing the arcs centered on points P and Q, why must he keep the compass the same wid

S_A_V [24]

Answer:

The arcs are drawn to find a point on the bisecting ray. If the arcs are the same width, it makes sure that they are equidistant from the points on the rays of the angle. This causes the point to be on the bisecting ray.

Step-by-step explanation:

Bisection of an angle implies dividing the angle into two equal parts. The ray that divides the angle is called a bisector.

The hunter should use the same radius or width to draw the two arcs, using points P and Q as the center interchangeably, so that they would intersect at an equidistant point to P and Q. The point of intersection lies on the bisecting ray of the angle.

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4 years ago

Select all that are true for g(x) = 10/x (PLEASE ANSWER FAST ILL LOVE YOU FOREVER)

Ksivusya [100]

The given function is:

$g(x)= \frac{10}{x}$

The parents functions of g(x) will be:

$f(x)= \frac{1}{x}$

The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.

The range of g(x) and its parent function is the same i.e. set of all real numbers except 0.

g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.

So, the correct answers are:
The domain of g(x) is the same as the domain of the parent function.
The range is the same as the range of the parent function.
The function g(x) decreases over the same x-values as the parent function.

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3 years ago

Read 2 more answers

Point A is the midpoint of side XZ and point B is the midpoint of side YZ. Triangle X Y Z is cut by line segment A B. Point A is

AveGali [126]

Answer:

<h3>B. 4units</h3>

Step-by-step explanation:

Find the diagram attached. The diagram is a similar triangle.

From the diagram, XZ/XY = CA/AB

Given XZ = 2x-2+2x-2 = 4x-4

XY =5x-7

CA = 2x-2

AB= x+1

On substituting this parameters into the formula to get x first

4x-4/5x-7 = 2x-2/x+1

cross multiply

(4x-4)(x+1) = 5x-7(2x-2)

open the parenthesis

4x²+4x-4x-4 = 10x²-10x-14x+14

4x²-4 = 10x²-24x+14

10x²-4x²-24x+14+4 = 0

6x²-24x+18 = 0

x²-4x+3 = 0

x²-3x-x+3 = 0

x(x-3)-1(x-3) =0

(x-3)(x-1) = 0

x = 3 and 1

Next is to get length AX.

Given AX = 2x-2

Substitute x = 3 into the expression

AX = 2(3)-2

AX = 6-2

AX = 4 units

Hence the measure of length AX is 4 units

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3 years ago