Answer: There are 60 girls and 40 boys at the bar-b-que
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Explanation:
b = number of boys
g = number of girls
"The ratio of boys to girls is 4:6" so
b = 4*x
g = 6*x
where x is some positive whole number
Add up the counts of boys and girls. This count should equal 100
b+g = 100
Plug in b = 4x and g = 6x. Then solve for x
b+g = 100
4x+6x = 100
10x = 100
10x/10 = 100/10 ... divide both sides by 10
x = 10
If x = 10, then
b = 4*x = 4*10 = 40 ---> there are 40 boys
g = 6*x = 6*10 = 60 ---> there are 60 girls
we can see that the ratio
40 boys: 60 girls
reduces to
4 boys: 6 girls
In other words, for every 4 boys, there are 6 girls. The ratio 4:6 can be fully reduced to 2:3 which means for every 2 boys, there are 3 girls.
Side note: if the ratio of vegetarian girls to omnivorous girls is 1:1, then there are 30 of each
we can solve y+y = 60 to find that y = 30, or we can simply divide 60 in half to find this count. Saying "a ratio of 1:1" means that there are the same number of vegetarians as omnivorous girls.
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Answer:
A
Step-by-step explanation:
We can see that the slope is positive, which means that the x-term must be positive.
If you expand and simply both equations into the form y = mx + b, you will find that m is positive for A and negative for B, hence A is the correct answer.
Answer:
<h2>
6.2 metres apart</h2>
Step-by-step explanation:
Find attached a diagram for proper elucidation of the question. The resulting shape is a right angled triangle with hypotenuse FJ, and the other two sides DF and DJ respectively.
Using Pythagoras theorem to get the side DJ which is the distance between Daniel and Joy. <em>According to the theorem, the square of the hypotenuse of a right angled triangle is equal to the sum of the other two sides. </em>
FJ² = DF² + DJ²
From the diagram, FJ = 8 and DF = 5. Substituting this values into the theorem above to get DJ;
8² = 5²+DJ²
DJ² = 8²-5²
DJ² = 64 -25
DJ² = 39
DJ = √39
DJ = 6.2 (to the nearest tenth)
This shows that Darnel is 6.2 metres away from Joy
