MATHEMATICS MIDDLE SCHOOL

A cable cord is 78 meters long.Workers cut it into 30 pieces of equal length. How many centimeters long is each piece?

Answers

Answer 1
Answer: 1 meter = 100 \ cm \n \n 78 *100 \ cm =7800 \ cm \n \n 7800 \ cm : 30 \ pieces =260 \ cm = 2 \ m \ 60 \ cm
Answer 2
Answer:

Answer:

Step-by-step explanation:

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A work crew of 3 people requires 3 weeks and 2 days to do a certain job. How long would it take a work crew of 4 people to do the same job if each person of both crews works at the same rate as each of the others. [Note: each week contains six work days]Thanks for the help!

Answers

It would take a work crew of 4 people approximately 5 days and 18 hours to complete the same job if each person in both crews works at the same rate as each other.

To solve this problem, we can start by calculating the total work done by the original work crew of 3 people in terms of "work-weeks." We know that they require 3 weeks and 2 days to complete the job.

1 week = 7 days

So, 3 weeks and 2 days can be converted to days as follows:

3 weeks + 2 days = 3 weeks + (2/7) weeks

≈ 3 weeks + 0.2857 weeks

≈ 3.2857 weeks

Now, we know that the original work crew of 3 people completes the job in 3.2857 work-weeks.

Next, we can calculate the amount of work done by each person of the original crew per work-week:

Work done by 1 person in 1 week = 1/3 of the total work (as there are 3 people)

Work done by 1 person in 1 work-week ≈ 1/3.2857

Now, we want to find out how much work a single person of the new work crew of 4 people can do in 1 work-week. Since each person in both crews works at the same rate, the work done per person per week will be the same.

Work done by 1 person in 1 work-week ≈ 1/3.2857 ≈ 0.3043

Now, we know that a single person from the new crew can complete approximately 0.3043 of the total job in one work-week.

Finally, we want to find out how long it will take for the new work crew of 4 people to complete the entire job. Let's denote the time in weeks as "x."

Total work done by the new crew of 4 people = 4 people * x weeks * 0.3043 work done per person in 1 week

Total work done by the new crew of 4 people = 1 job (as they will complete the entire job)

So, we have the equation:

4x * 0.3043 = 1

Now, solve for "x":

x ≈ 1 / (4 * 0.3043)

x ≈ 0.8225

Therefore, it would take a work crew of 4 people approximately 0.8225 weeks to do the same job. To convert this into days:

0.8225 weeks * 7 days/week ≈ 5.7575 days

So, it would take a work crew of 4 people approximately 5 days and 18 hours to complete the same job if each person in both crews works at the same rate as each other.

For more details of  work crew:

brainly.com/question/20323478

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20  days per 3 people         for 4 people


20/3 * 4 = 26 & 2/3 days

Please answer quick!The perimeter of a rectangular herb garden is 74 feet. If the length of the garden is 5 feet longer than 3 times its width, what is the garden's width?

Answers

Answer:

Step-by-step explanation:

Using perimeter =2(l+b)

74=2(L+B)

From the question

Width(b)=x & length(l)=3x+5

So we have that

74 =2(3x+5+x)

Adding like terms we then have that

74 =2(4x+5)

Opening the bracket gives

74=8x +10

Collecting like terms

8x=74-10

8x= 64

Therefore

X=64/8

X=8feets

The width is 8feets

Answer:

8 feet.

Step-by-step explanation:

plug into missing values

A bicycle club conducted a survey to find out which city bicycle path was most popular. Sixty of the club’s 497 members were chosen at random and asked which bike path they liked the most. The club made a table of the results. What inferences can be drawn from this survey? Path Central Riverside Maple Park West Slope Total Number of responses 5 24 20 11 60 Choose all answers that are correct. A. About 24% of the club members like the Riverside path the most. B. About 33% of the club members like the Maple Park path the most. C. Maple Park is the path preferred by most club members. D. The Central path is preferred by the fewest club members.

Answers

so we have 60

then we have
central:5
Riversie:24
Maple park:20
west:11
they all add up to sixty


so we find their percentages
percent means part out of 100 wo what you do is
5/60=1/12=0.0833333333/1 then make bottom number 100 so 0.08333/1 times 100/100=8.3/100=8.3%


so the others are
24/60=2/5=0.40/1 times 100/100=40/100=40%
20/60=1/3=0.333333/1 times 100/100= 33.33/100=33.33%
11/60=0.1833/1 times 100/100=18.33/100=18.33%


so now we have

central:8.33%
Riversie:40%
Maple park:33.33%
west:18.33%

so we look at our options
A. riverside=24% FALSE
B. maple park=33.33% TRUE
C.maple park has highest percentage FALSE
D. central is smallest percentage TRUE

answer is B and D

The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Solve for w.

Answers

Answer:

(P-2l)/2 =w

Step-by-step explanation:

P = 2l + 2w

Subtract 2l  from each side

P -2l = 2l-2l + 2w

P-2l = 2w

Divide by 2

(P-2l) /2 = 2w/2

(P-2l)/2 =w

Answer:

Step-by-step explanation:

Which equation represents the line shown in the graph below? A. y = 2x - 3

B. y = -3y + 2

C. y = 3y - 2

D. y = -3y - 2

Answers

The equation used to for slope intercept form is commonly used. 

y = mx + b

Let us find the y-intercept first.

The place where the line crosses the y axis is 2.

y = mx + 2

Now, find the slope.

Find two points on the line, then solve.

m = (y2 - y1)/(x2 - x1)

Alright, I found two points on the line:-  (-2,8) and (2, -4)

m= (-4 - 8)/(2--2)

m = -12/4
m = -3

The slope is -3. The y-intercept is 2

Lets put them into the equation

y = -3x + 2

Final answer:  B.    y = -3x + 2

The equation that represents the line shown in the graph is:

B. y = -3x + 2

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed {m = (y_2 - y_1)/(x_2 - x_1)}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed {y - y_1 = m ( x - x_1 )} }

Let us tackle the problem!

From the graph , the line goes through the point ( -1 , 5 ) and ( 0 , 2 ).

Let:

( x₁ , y₁ ) = ( 0 , 2 )

( x₂ . y₂ ) = ( -1 , 5 )

\texttt{ }

We can calculate the gradient of the graph by using this following formula:

m = ( y_2 - y_1 ) / ( x_2 - x_1 )

m = ( 5 - 2 ) / ( -1 - 0 )

m = 3 / (-1)

m = -3

\texttt{ }

Next , we can find the equation of the graph by using this following formula:

y - y_1 = m ( x - x_1 )

y - 2 = -3 ( x - 0 )

y - 2 = -3x

y = -3x + 2

\texttt{ }

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

What is the value of tanΘ in the unit circle below?

Answers

from the picture, we can see the pair, bear in mind that terminal point pair is really the (x,y) pair or namely the (cosine, sine) pair, so we know what the cosine and sine are.

\bf tan(\theta )=\cfrac{\stackrel{sine}{\quad (1)/(2)\quad }}{\stackrel{cosine}{(√(3))/(2)}}\implies \cfrac{1}{2}\cdot \cfrac{2}{√(3)}\implies \cfrac{1}{√(3)}\implies \stackrel{\textit{rationalizing the denominator}}{\cfrac{1}{√(3)}\cdot \cfrac{√(3)}{√(3)}\implies \cfrac{√(3)}{3}}

Answer:

B) sqrt 3/3 (I don't know how to add the square root or fraction symbols)

Step-by-step explanation:

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