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
This looks like a test to me. We wont do it for you. If you have difficulty, state the difficulty.
It's not a test
it's a practice quiz
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) To find where the line intersects the y-axis, we can use the point-slope equation of a line. The point-slope equation is y - y1 = m(x - x1), where (x1, y1) is the given point, and m is the slope.
Given that the slope is 3/4 and the line passes through the point (4,7), we can substitute these values into the equation:
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)
y - 7 = (3/4)(-4)
y - 7 = -3
y = -3 + 7
y = 4
Therefore, the line intersects the y-axis at the point (0, 4).
2) Given the equations x/y = z and x*y*a = 0, we need to determine which variables have to be equal to 0.
From the equation x*y*a = 0, since any number multiplied by 0 is 0, we know that either x, y, or a must be equal to 0.
However, from the equation x/y = z, there is no requirement for any of the variables to be equal to 0. Therefore, we cannot determine which variables must be equal to 0 based on the given information.
3) To simplify the expression (2x*2 + 4x - 30)/(x - 3), we can factorize the numerator and then cancel out common factors with the denominator:
Numerator: 2x*2 + 4x - 30 can be simplified as 4x^2 + 4x - 30. We can factorize this quadratic expression as follows:
4x^2 + 4x - 30 = (2x + 6)(2x - 5)
Now, we have (2x + 6)(2x - 5)/(x - 3).
We can cancel out the common factor of (x - 3) from the numerator and denominator:
(2x + 6)(2x - 5)/(x - 3) = (2x + 6)(2x - 5)/(x - 3)(1)
Simplifying further, we get:
(2x + 6)(2x - 5)/(x - 3) = (2x + 6)(2x - 5)/(x - 3)
Therefore, the simplified expression is (2x + 6)(2x - 5)/(x - 3).
4) The volume of a cookie jar would most likely be measured in cubic inches or cubic centimeters.
Cubic feet would be too large of a unit for measuring the volume of a typical cookie jar. Square millimeters and square centimeters measure area, not volume.
5) To find Rob's score on the fifth test, we can calculate the average of all five scores.
Rob knows that his average in math class is 89%, and the sum of the four known test scores is 85 + 92 + 80 + 90 = 347.
Let's assume Rob's score on the fifth test is x. We know that the average is calculated by taking the sum of all the scores and dividing it by the total number of scores.
(347 + x) / 5 = 89
To find x, we can multiply both sides of the equation by 5:
5 * (347 + x) / 5 = 89 * 5
347 + x = 445
Now, solve for x:
x = 445 - 347
x = 98
Therefore, Rob's score on the fifth test is 98.
6) Let's assume the number of oranges in the bowl is x. According to the problem, there are twice as many kiwis as oranges, so the number of kiwis would be 2x. Additionally, there are half as many mangoes as oranges, so the number of mangoes would be (1/2)x.
The total number of fruits in the bowl is given as 14:
x + 2x + (1/2)x = 14
To solve for x, we can simplify the equation:
(2 + 1/2)x = 14
(5/2)x = 14
To isolate x, we can multiply both sides of the equation by 2/5:
x = (14 * 2) / 5
x = 28 / 5
x = 5.6
Therefore, there are approximately 5.6 oranges in the bowl. Since the number of fruits cannot be fractional, we can round this value down to the nearest whole number, which means there are 5 oranges.
7) To find the slope of a line passing through two points, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (1, 4) and (-5, -5), we can substitute the values into the formula:
slope = (-5 - 4) / (-5 - 1)
slope = -9 / -6
slope = 3/2 or 1.5
Therefore, the slope of the line passing through (1, 4) and (-5, -5) is 3/2 or 1.5.
8) The equation for the cost (C) of Sarah's cell phone plan based on the number of minutes (m) can be written as:
C = $49.99 + $0.07m
Each additional minute costs $0.07, so we add this amount for each additional minute to the base cost of $49.99.
Therefore, the correct equation for this problem is option c) $49.9 + $0.07m = C.