Answer:
10x+5
Step-by-step explanation:
You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.
On her third test she should get 67 marks
so therefore 71 + 87 + 67 = 225
225 divide by 3 (as three tests) = 75
For answering multiple choice, you can do the following:
Observe the diagram, noting that one curve has positive slope, and the other has negative slope.
Looking at the equations,
if x and y are on the same side of the equal sign, (which is the case here), then
- coefficients of x and y have equal signs (both+, or both -) then the equation has negative slope.
- coefficients of x and y have different signs (+-, or -+), then the equation has positive slope.
We see the second system has both equations with positive slope, and the third system has both equations with negative slopes. They're out!
Next, we check the y-intercept of the first equation (by setting x=0),
first system: 0+2y=-10 => y-intercept=-5, slope=-1/2 Good
fourth system: 0-2y=-10 => y-intercept=+5 No good.
Finally, check the x-intercept of the second equation of the first system (by setting y=0)
first system: 3x-0=12 => x-intercept = 12/3=+4, slope = +3 good
So we conclude the first system is the correct answer.
Using it's concept, there is a 0.0308 = 3.08% probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen. Since the letter is not replaced, the number of outcomes change, hence they are dependent.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
For the first ticket, since 5 out of 26 letters are vogal, the probability is:
5/26.
For the second ticket, since there is no replacement, the probability is:
4/25.
The probability of both tickets is:
0.0308 = 3.08% probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen. Since the letter is not replaced, the number of outcomes change, hence they are dependent.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
70
Step-by-step explanation:
We know that to find the area of a triangle, you need is formula:
(base*height)/2
The height is 10 m and the base is 14 m, so the area is:
(10 m*14 m)/2
=140 m/2
=70 m
The area of the triangle is 70 m.
