Step-by-step explanation:
1. making the equation:
shoes = x
shirts = y
175 = x + 3y
x = 4y
2. graph it (I'm using desmos)
the green line is for 175 = x + 3y and the purple one is for x = 4y
3. find the price
x = 4y
175 = 4y + 3y
175 = 7y
y = 175/7 = $25
price of the shirt = $25
x = 4y = 4*25 = $100
price of a pair of shoes = $100
- The Midpoint of AB is (1,0).
Given that:
- In line AB, where the coordinates of A is (3,1) and coordinates of B is (-1,-1).
To find:
So, according the question
We know that,
The midpoint M of a line segment AB with endpoints A (x₁, y₁) and B (x₂, y₂) has the coordinates M ( 
).
Now from question,
We know that the the coordinates of A is (3,1) and coordinates of B is (-1,-1) of line AB.
So, we can say that
A is (3,1) or x₁ = 3 and y₁ = 1.
B (-1,-1) or x₂ = -1 and y₂ = -1.
∵ The coordinates of midpoint M (X,Y)
X = 
= 
= 2/2
X = 1.
And
Y = 
= 
= 0/2
Y = 0.
So, the midpoint of line AB is M (1,0)
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An arithmetic sequence has a common difference.
143 - 130 = 13
156 - 143 = 13
169 - 156 = 13
The common difference is 13.
a1 = 130
a2 = 130 + 13
a3 = 130 + 2 * 13
a4 = 130 + 3 * 13
...
an = 130 + (n - 1) * 13
an = 130 + 13(n - 1)
an = 130 + 13n - 13
an = 117 + 13n
an = 13n + 117
Answer:
12.5% Step 1 to find volume of Pyramid A Step 2 is find percentage through division then multiplication of 100
Step-by-step explanation: Length of one side of the base (a) = 14 in
Height of square pyramid (h) = 6 in
Using the square pyramid volume formula,
Volume = 1/3 x a^2 x h
Volume = 1/3 x 14^2 x 6
Volume = 392 in3
The volume Pyramid A is 392 cubic inches.
Pyramid A has a volume = 392 cubic units Pyramid B has a volume of 3,136 cubic inches. to find percentage 392 of 3136 we divide then * 100 To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator... = (392/3136 ) x 100% = 12.5% Proof is (12.5 * 3136 ) / 100 = 392
Class ratio of girls to boys is 3:5
So there are 3 girls and 5 boys in 8 students
If there are 32 students, then 3/(3+5) * 32 = 12 girls, and 5/(3+5) * 32 = 20 boys
Hope it helps you?
