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levacccp [35]
3 years ago
10

Kelly answered 3 items on a test incorrectly. This was 6% of the items. How many items were on the test?

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

Answer:

50

Step-by-step explanation:

6/100=3/y

Let y be the total number of items on the test

[cross multiply]

6×y =3×100

6y = 300

divide both sides by 6

y = 50

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Write an equation in slope intercept form of the line passing through (5,-4) and is perpendicular to a line whose equation is -2
Sergeu [11.5K]
Rearrange the given equation in slope intercept form
y =  \frac{3x - 1}{ - 2}  \\ y =  -  \frac{3}{2}  x +  \frac{1}{2}
slope of the required line is
-  \frac{1}{  - \frac{3}{2} }  =  \frac{2}{3}
equation is given by
y - y1 = m(x - x1) \\ y -  - 4 =  \frac{2}{3} (x - 5) \\ y + 4 =  \frac{2x}{3}  -  \frac{10}{3}  \\ y =  \frac{2x}{3}  -  \frac{10}{3}  - 4 \\ y =  \frac{2}{3} x -  \frac{22}{3}
5 0
3 years ago
Solve the Equation p+5/8=15/16?
Sphinxa [80]
So the first thing you want to do when faced with two fractions with different denominators (when subtracting or adding) is to make the denominators the same. So for this equation they would turn out to be p+10/16=15/16 (because 16 is the lowest common denominator, 8 times two) so then you want to subtract 10/16 from 15/16 to isolate the variable (p) which would get: 
p=5/16
This is the final answer because it cannot be simplified.
Hope this helps!
6 0
3 years ago
Which number line represtents the solution to |x+4|=2?​
vlada-n [284]

Answer:

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x

To solve the equation, you need to treat the two cases as above:

|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.

7 0
3 years ago
Measure the diagonal of a square whose area is exactly one square foot. Is the diagonal length closer to 1.5 or 1.4 feet? Explai
kondor19780726 [428]

It is closer to 1.4

Step-by-step explanation:

This is a 45 45 90 triangle

To find the hypotenuse of this triangle it is any side length times the square root of two.

Formula: Square Root = sqrt

Hypotenuse = SideLength*sqrt(2) ; 1*sqrt(2) = 1.412...

Rounded to the nearest tenths it is closer to 1.4 than 1.5


8 0
3 years ago
Julian has a computer game that responds with either "go" or "stop" when a button is pressed. The probability that the response
Ganezh [65]

Answer:

Step-by-step explanation:

I think you are just asking for the decimal answers.

3/20 = 0.15

9/50 = 0.18

38/200 = 0.19

4 0
3 years ago
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