posted my last question wrong.

1) The slope of a line is 3/4, the line passes through the point(4,7). Where does the line intersect the y-axis?

2) If x/y=z, and x*y*a=0, which of the following variables have to=0? Assume each of the variables is = to a different number.

3) simplify this expression (2x*2+4x-30)/(x-3)

4)the volume of a cookie jar would most likely be measured in: cubic feet or cubic inches or square millimeters or square centimeters

5) Rob know that his average in math class is 89%. However he can only recall four of the five test scores; 85, 92, 80, 90. What is his score on the fifth test?

6)There are kiwis, oranges and mangoes in a bowl. There are twice as many kiwis as there are oranges and half as many mangoes as there are oranges. There are 14 pieces of fruit, how many mangoes are there?

7)The line passes through (1,4) and (-5,-5) what is the slope of the line?

8)Sarah has a cell phone plan that = 500 minutes @ $49.99 per month. Each additional minute = $.07. She talked 850 minutes. How would you write an equation for this problem? C= cost and m= minutes:
these are the options: a)$49.99-$.07m=c or b)$$49.99+$.07=c or c)$49.99+ $.07m=c or d)$49.99= $.07m
e) there is not enough information given to write an equation


math algebra - Quarie, Wednesday, March 1, 2017 at 11:58am
This is a practice quiz
I want my answers checked
1)(0,0) ???
2)a=0, because x/y=z cannot = 0???
3)2(x+5)
4)I don't know how to write this equation
5)89+92+80+90+x=.89--85+92+80+90+x-((89/100))=0 I put x = -34611/100 = -346.110
6)I don't know how to write this equation
7) ?
8)I put c) $49.99 + $.07m=c

#1

y = (3/4)x+b
7 = (3/4)*4+b
b=4
so, y = (3/4)x+4
Clearly (0,0) does not satisfy that equation

#2 x/y can be zero if x=0
Only y cannot be zero.

#3 ok
#4 volume is always in cubic units. Area is square units.
#5 85+92+80+90+x = 5*89
x = 98
How could you possibly believe such a test score? Get real?

#6
k = 2o
o = 2m
k+o+m = 14
4m + 2m + m = 14
7m = 14
m = 2

#7 (-5-4)/(-5-1) = 3/2

#8 The first 500 minutes are included in the $49.99, so you don't want to charge them twice.

c = 49.99 + .07(m-500)

1) To find where the line intersects the y-axis, we need to find the y-coordinate when x = 0.

Given that the slope of the line is 3/4 and it passes through the point (4,7), we can use the point-slope form of a line: y - y1 = m(x - x1), where (x1,y1) is the given point and m is the slope.
Plugging in the values, we get: y - 7 = (3/4)(x - 4).
To find where the line intersects the y-axis, we set x = 0: y - 7 = (3/4)(0 - 4).
Simplifying further: y - 7 = -3.
Adding 7 to both sides: y = 4.
Therefore, the line intersects the y-axis at the point (0,4).

2) Given that x/y = z and x * y * a = 0, we need to determine which variables have to equal zero.
If x * y * a = 0, then either x = 0, y = 0, or a = 0 (or any combination of these variables being zero).
Since each variable is assumed to be equal to a different number, we can determine that either x = 0 or y = 0 or a = 0.

3) To simplify the expression (2x^2 + 4x - 30)/(x - 3), we can factorize the numerator if possible.
The numerator can be factored as (2x - 6)(x + 5).
Therefore, the expression simplifies to: (2x - 6)(x + 5)/(x - 3).

4) The volume of a cookie jar would most likely be measured in cubic inches.

5) To find Rob's score on the fifth test, we need to find the average of all five test scores and subtract the sum of the four known scores from it.
Given that Rob's average is 89%, the sum of the four known scores is 85 + 92 + 80 + 90 = 347.
Let the fifth test score be represented by x.
To find x, we solve the equation: (85 + 92 + 80 + 90 + x)/5 = 89.
Multiplying both sides by 5: 347 + x = 445.
Subtracting 347 from both sides: x = 98.
Therefore, Rob's score on the fifth test is 98.

6) Let's use algebraic notation to solve this problem.
Let's assume the number of oranges is represented by O, then the number of kiwis would be 2O, and the number of mangoes would be (1/2)O.
Since the total number of fruits is given as 14, we can write the equation: O + 2O + (1/2)O = 14.
Combining like terms: (5/2)O = 14.
Multiplying both sides by (2/5): O = 14 * (2/5) = 28/5 = 5.6.
Therefore, there are 5.6 oranges, and since the number of mangoes is half the number of oranges, there are 5.6 * (1/2) = 2.8 mangoes.

7) To find the slope of the line passing through the points (1,4) and (-5,-5), we use the formula for slope: (y2 - y1)/(x2 - x1).
Plugging in the given coordinates, we get: (-5 - 4)/(-5 - 1) = -9/-6 = 3/2.
Therefore, the slope of the line is 3/2.

8) To write an equation for Sarah's cell phone plan, we can use the following notation: C = cost and m = minutes.
Given that she has a cell phone plan with 500 minutes at $49.99 per month and each additional minute costs $0.07, we can write the equation: C = $49.99 + $0.07m.
So, the correct option would be c) $49.99 + $0.07m = C.