Answer:
Number of marbles Andrea has can be expressed as = marbles
Step-by-step explanation:
Given:
Number of marbles Jennifer has = marbles
Andrea has 4 times the number of marbles that Jennifer has.
∴ Number of marbles Andrea has can be expressed as = marbles
To find the value of p, isolate/get the variable "p" by itself in the equation:
19 = 4p - 5 Add 5 on both sides
19 + 5 = 4p - 5 + 5
24 = 4p Divide 4 on both sides to get "p" by itself
6 = p Your answer is B
PROOF
19 = 4p - 5 Substitute/plug in 6 into "p" since p = 6
19 = 4(6) - 5
19 = 24 - 5
19 = 19
Answer:
y=5(x-2)+3 or y= 5x+7
Step-by-step explanation:
Answer:
Therefore the probability that a pen from the first box and a crayon from the second box are selected is
Step-by-step explanation:
Probability:
The ratio of the number of favorable outcomes to the number all possible outcomes of the event.
Given that,
Three plain pencils and 5 pens are contained by the first box.
Total number of pens and pencils is =(3+5)=8
The probability that a pen is selected from the first box is
=P(A)
A second box contains three colored pencils and three crayons.
Total number of pencils and crayons is =(3+3)=6
The probability that a crayon is selected from the second box is
=P(B)
Since both events are mutually independent.
The required probability is multiple of the events
Therefore the required probability is
Answer:
0.51
Step-by-step explanation:
Use knowledge of trigonometric ratios to find cos(F).
Remember:
sin(x) = opposite/hypotenuse
cos(x) = adjacent/hypotenuse
tan(x) = opposite/adjacent
In this case, we're dealing with cosine, so let's use the cosine formula.
cos(F) = adjacent/hypotenuse
When you look at the diagram, you can see that the you are only given opposite and hypotenuse, so we still need the length of the adjacent side.
Since this is a right triangle, we can use the Pythagorean Theorem, , to find the length of the adjacent side.
So + 56² = 65².
Solve for a.
+ 3136 = 4225
= 4225 - 3136 = 1089
a = √1089 = 33
Now that we know the length of the adjacent side, we can go back and use the cosine formula.
cos(F) = adjacent/hypotenuse
cos(F) = 33/65 ≈ 0.51
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