I 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
me thinks you are answer grazing. We will be happy to help you, but not feed you the answers.
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, you need to find the y-coordinate when x is equal to 0.
Since the slope of the line is 3/4, we can write the equation of the line in point-slope form: y - y1 = m(x - x1), where (x1, y1) is the given point on the line.
Plugging in the values, we have: y - 7 = (3/4)(x - 4)
Now, substitute x=0 into the equation: y - 7 = (3/4)(0 - 4)
Simplifying, we get y - 7 = -3.
Finally, add 7 to both sides to isolate y, and the equation becomes: y = 4.
Therefore, the line intersects the y-axis at the point (0, 4).
2) Given x/y = z and x * y * a = 0, we need to find which variables have to equal 0.
Since x * y * a = 0, one of the variables x, y, or a must be 0. This is due to the property that any number multiplied by 0 equals 0.
Therefore, at least one of x, y, or a must be equal to 0.
3) To simplify the expression (2x^2 + 4x - 30) / (x - 3), we can factor the numerator if possible and cancel out any common factors with the denominator.
The numerator, 2x^2 + 4x - 30, can be factored as (2x - 6)(x + 5).
Now, the expression becomes ((2x - 6)(x + 5)) / (x - 3).
Next, we can cancel out the common factor of (x - 3) in both the numerator and denominator.
The simplified expression becomes: 2x - 6.
4) The volume of a cookie jar is generally measured in cubic units, such as cubic feet or cubic inches.
Cubic units measure three-dimensional space, which is appropriate for measuring the capacity or volume of an object like a cookie jar.
Therefore, the volume of a cookie jar would most likely be measured in cubic feet or cubic inches.
5) To find Rob's score on the fifth test, we need to determine the average of all his test scores, including the fifth test.
Rob's average in math class is 89%, and he can only recall four test scores: 85, 92, 80, and 90. Let the fifth test score be represented as x.
To find the average, we add up all the test scores and divide by the total number of tests (5).
(85 + 92 + 80 + 90 + x) / 5 = 89
Combine like terms: 347 + x = 445
Subtract 347 from both sides: x = 98
Therefore, Rob's score on the fifth test is 98.
6) Let's use algebra to solve the problem. Let the number of oranges be represented by x.
Since there are twice as many kiwis as oranges, the number of kiwis would be 2x.
And since there are half as many mangoes as oranges, the number of mangoes would be 0.5x.
The total number of fruits is given as 14, so we can set up the equation:
x + 2x + 0.5x = 14
Combine like terms: 3.5x = 14
Divide both sides by 3.5: x = 4
Therefore, there are 4 oranges, 8 kiwis (twice the number of oranges), and 2 mangoes (half the number of oranges).
7) To find the slope of a line passing through two given points, you can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Given the points (1, 4) and (-5, -5), we can assign the values:
x1 = 1, y1 = 4
x2 = -5, y2 = -5
Substituting the values into the slope formula, we have:
m = (-5 - 4) / (-5 - 1)
Simplifying, we get m = (-9) / (-6) = 3/2.
Therefore, the slope of the line passing through the points (1, 4) and (-5, -5) is 3/2.
8) Let's write an equation to represent the cost (C) based on the number of minutes (m) Sarah talked.
Sarah's cell phone plan includes 500 minutes at $49.99 per month. Each additional minute is charged at $0.07.
The equation for the cost would be: C = $49.99 + ($0.07 * (m - 500))
This equation calculates the total cost by adding the base cost of $49.99 to the additional cost ($0.07 per minute) for any minutes beyond the included 500.
Therefore, the correct equation representing the problem is c) $49.99 + $0.07m = C.