Answer:
There are 6,296 children at the carnival
Step-by-step explanation:
The number of each group of people can be expressed as;
Number of boys (b)+number of adults (a)=7,052
b+a=7,052....equation 1
Number of girls (g)=Number of adults (a)-756
g=a-756....equation 2
But Number of girls (g)=number of boys (b)
Replacing the value of b in equation 1 with that of g in equation 2;
(a-756)+a=7,052
a+a=7,052+756
2 a=7,808
a=7,808/2
a=3,904
Replace the value of a in equation 2 with 3,904
g=3,904-756
g=3,148
But since g=b
g=b=3,148
b=3,148
Total number of children=Total number of boys (b)+total number of girls (g)
Total number of children=b+g
where;
b=3,148
g=3,148
replacing;
Total number of children=(3,148+3,148)=6,296
There are 6,296 children at the carnival
Answer:
There are 28 more dogs than cats at the animal shelter.
Step-by-step explanation:
If the ratio of dogs to cats at an animal shelter is 3:1, that means there are 3 dogs for every 1 cat.
The way I think about it is I try multiplying every number by 3 and 1, kind of like process of elimination.
After using every number from 1-13, I finally got to 14. Now, 3 x 14 = 42 and 1 x 14 = 14. Add 42 + 14 and you will get 56.
So there are 42 dogs and 14 cats at the animal shelter.
However, it is asking for how many more dogs than cats there are, so you have to subtract 42 - 14 and the answer is 28 more dogs than cats.
To graph y=-7x-3, you're going to make your first coordinate at (-3,0) b/c that is your y-intercept and you will continuously move down 7 and right one.
To graph y=4, you will simply make a horizontal line through the to coordinate (4,0).
Hope that helped.
Other number: x
one number: 5x - 2
x (5x - 2)=72
5x^2 - 2x = 72
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