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frutty [35]
3 years ago
14

Three nuts and six bolts have a combined mass of 72g. Four nuts and five bolts have a combined mass of 66g. Find the mass of one

nut and one bolt
Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0
3n + 6b = 72...multiply by 4
4n + 5b = 66 ...multiply by -3
----------------
12n + 24b = 288 (result of multiplying by 4)
-12n - 15b = - 198 (result of multiplying by -3)
---------------add
9b = 90
b = 90/9
b = 10 .....each bolt is 10 grams

3n + 6b = 72
3n + 6(10) = 72
3n + 60 = 72
3n = 72 - 60
3n = 12
n = 12/3
n = 4.....each nut is 4 grams

so the mass of 1 bolt and 1 nut = 10 + 4 = 14 grams <==
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3 years ago
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the variables x and y have a proportional relatinship and y=2/5 when x=5/8 which equation represents this relationship
mafiozo [28]

The equation is y = 16/25 x

lets find the proportional relationship,

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so if k, constant is 16/25

equation is:

y = 16/25 x

<h3>What are proportional relationships?</h3>

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

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6 0
1 year ago
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Pre-calc<br> Evaluate f(2) using substitution:<br> f(x) = 2x^3 – 3x^2– 18x-8
krek1111 [17]

Answer:

f(2) = -40

Step-by-step explanation:

Just substitute x=2 into the function:

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8 0
2 years ago
I need help fast please...
BARSIC [14]

Answer:

87: y = 5

88: y = 0

89: y = -2

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91: y = 2x - 16

92: y = x - 11


Step-by-step explanation:

To find the slope(m): (y1 - y2)/(x1 - x2)

To find the y-intercept:

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Replace m with the slope and x and y with one of the sets of coordinates. Then simplify to get the y-intercept. Use the equation y = mx + b and replace m with the slope and b with the y-intercept to get the equation.


(Sorry if this is a little confusing.)

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3 years ago
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