Answer:
x = 35/22
y = 3/22
Step-by-step explanation:
y= 2/5x-1/2 ................(1)
y=-1/3x+2/3 ...............(2)
10*(1)
10y = 4x -5 ...................(1A)
3*(2)
3y = -x +2 ....................(2A)
To find intersection, solve for y & x
4(2A) + (1A)
12y+10y = -4x+4x +8-5
22y = 3
y = 3/22
Substitute in (1)
3/22 = 2/5x -1/2
multiply by 110
15 = 44x - 55
70 = 44x
x = 70/44 = 35/22
<span>With a boys to girls ratio of 8:7, this means 8/15 of the campers are boys and 7/15 of the campers are girls.
We are told that there are 195 total campers.
To find # of boys: 195 (the total # of campers) x 8/15 (fraction of the campers that are boys) = 104 boys
To find # of girls: 195 (total # of campers) x 7/15 (fraction of the campers that are girls) = 91 girls
Note: If you do not know how to multiply by fractions, let me know, I have another trick that takes more time but doesn't require the use of fractions.
</span>
The statement that is best supported by the data in the stem and leaf plot is D. The most common number of items sold is 15.
<h3>How to illustrate the information?</h3>
It should be noted that the stem and plot diagram is important to illustrate the data given.
Based on the information given, the most common number of items sold is 15.
In conclusion, the correct option is D.
Learn more about stem plot on:
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The total number of items sold by each student who participated in a fund-raiser is shown in the stem and leaf plot.
Which statement is best supported by the data in the stem and leaf plot?
The number of students who sold between 10 and 20 items is greater than the number of students who sold more then 40 items.
The number of students who sold more than 30 items is greater than the number of students who sold fewer than 30 items.
The most common number of items sold is 30.
The most common number of items sold is 15.
Answer:
the surface area of the square pyramid is 576.66 cm^2
Step-by-step explanation:
The computation of the surface area of square pyramid is given below:
A = a^2 + 2a × √a^2 ÷ √4 + √h^2
where
a = 12 cm
h = 17 cm
Now put the value of a and h in the above formula
= 12^2 + 2(12) × √12^2 ÷ √4 + √17^2
= 576.66 cm^2
hence, the surface area of the square pyramid is 576.66 cm^2
Answer:
t ≤ 15
Step-by-step explanation:
t - 3 ≤ 12
Add 3 to each side
t-3+3 ≤ 12+3
t ≤ 15
