MATHEMATICS MIDDLE SCHOOL

At Jones College, there are a total of 100 students.If 30 of the students have cars on campus, and 50
have bicycles, and 20 have both cars and bicycles,
then how many students have neither a car nor a
bicycle on campus?

Answers

Answer 1
Answer: the answer is 0. BTW THAT IS EASY

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Every 5 1/2 cups of flour weighs 1 9/16 pounds. Use a unit rate to show how you could determine if there are more than or less than 35 cups of flour in a 10-pound bag of flour.

Answers

1 9/16 pounds /  5 1/2 cups will tell you the unit rate of 25/88 pound per 1 cup.  So if you take 25/88 times 35 cups, you will find that it is 9 83/88 pounds.  This is less than a 10-pound bag of flour.

The cost of a taxi ride is 50 cents for each 1 5 mile, , x, and a $2.50 flat fee. Which statement is correct ?

Answers

Answer:

see the explanation

Step-by-step explanation:

we know that

A linear function in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have a linear function between the total cost and the number of miles

Let

y ----> the total cost in dollars

x ----> the number of miles

The slope or unit rate is equal to

m=(0.50)/(1.5)=\$0.33\ per\ mile

The y-intercept is equal to the flat fee

b=\$2.50

substitute the given values

The linear function that model the situation is

y=0.33x+2.50

F(x, y) = 4x + 7y - 6, please find the value of f(5,-5).

Answers

f(x, y) = 4x + 7y - 6

substitute x=5 and y=-5

f(5,-5) = 4(5) + 7(-5) - 6

f(5,-5) =20-35-6

        = -15-6

        =-21

The scale drawing represents Kim’s living room. She wants to put new baseboards on the walls of the room. If the scale is 2 cm:1 m and the baseboard costs $4.19 per meter, how much would it cost to put baseboards in Kim’s living room?A. $4.53

B. $79.61

C.$159.22

D. $318.44


THE SCALE DRAWING IS AT THE BOTTOM:

Answers

The answer is B, because if you draw the baseboards on the scale drawing, you'll get nineteen baseboards. 19 x 4,19 = 79,61

Pat needs a length of barbed wire that is 17.8 meters long and another that is 8.75 meters long. He has a spool with 33.3 meters of barbed wire.How much barbed wire will Pat have left after cutting off the two lengths he needs?

Answers

He will have 6.75 left.

1.A line is parallel to the line 5x+y+4=0 Work out it's gradient (The answer is a whole number or decimal.)2.Another line is parallel to the line 3x+5y=15 Work out it's gradient. (The answer is a fraction)

5 points for each answer

Answers


If we arrange the equation of a line in standard form,
we can read its slope (gradient) directly.

1).                                            5x + y + 4  =       0

Subtract  4  from each side:    5x + y        =       -4

Subtract  5x  from each side:          y        = -5x - 4

The slope (gradient) of the line is  -5 .    

2).  Parallel lines have the same slope (gradient).
      First, find the slope (gradient) of the given line.

                                          3x + 5y =              15

Subtract  3x  from each side:    5y = -3    x + 15

Divide each side by  5 :              y = -3/5 x + 15

The slope (gradient) of the given line is  -3/5 .
Any line with a slope (gradient) of  -3/5  is parallel to this one.

Its equation will be         y = -3/5 x  +  any number.
 
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