Change into improper fraction
take 3 x 25+18 divided by 25=93\25
93\25=3.72
Step-by-step explanation:
When it says y varies directly with x it just means that y and x are proportional/equal to each other. The constant of variation and the constant of proportionality are the same thing just different way of saying it so they can confuse you and make your life miserable. Since y and x are proportional to each other and the constant of proportionalty is -5 to make an equation that represents a line you use the formula y=mx+b. That is the slope of the line. With that formula let's first plus in the x so we have y=m2+b. The formula for direct variation is y=kx as well that's good to know and it's good to memorize all these formulas. Math becaomes easier when you have the process down pat and you just need to plug numbers into different equations, expressions, and scenarios. Do m = [y1 - y2] / [x1 - x2] and you'll get the answer.
In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=
and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2.
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Answer:
Step-by-step explanation:
If there needs to be 4 teachers per 21 students, you would divide the total amount of students by 21 and multiply that answer by 4. SO...:
84 ÷ 21 = 4 groups of 21 students.
4 groups × 4 teachers = 16
*** Answer***
16 TEACHERS
Answer:
m∠RST = 20
Step-by-step explanation:
Sine the line SP bisects ∠RST, we know that the two angles that were formed are equal. Set ∠RSP equal to ∠PST.
∠RSP = ∠PST
3x - 2 = 9x - 26
(3x - 2) + 2 = (9x - 26) + 2
3x = 9x - 24
3x - 9x = (9x - 24) - 9x
-6x = -24
(-6x)/-6 = -24/-6
x = 4
Now that you know the value of x, add ∠RSP and ∠PST. This will give you m∠RST.
m∠RST = (3x - 2) + (9x - 26)
m∠RST = 3x - 2 + 9x - 26
m∠RST = 12x - 2 - 26
m∠RST = 12x - 28
m∠RST = 12(4) - 28
m∠RST = 48 - 28
m∠RST = 20