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Gennadij [26K]
3 years ago
9

If 30 marks Is 40% what is full marks?

Mathematics
1 answer:
qaws [65]3 years ago
7 0
40% as a decimal = 0.4
x = full marks
30 = 40% of x
0.4x = 30 ---> Divide both sides by 0.4 to get x
x = 75
<u>Full marks: 75</u>
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A restaurant bill before tax is $15.50. How much is a 15% tip for this bill? How much money should be left for the whole bill?
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The tip would be approximately $2.33.  The total amount of money that should be left on the bill is $17.73.

Step-by-step explanation:

To determine the tip: 15.50 times 0.15 = 2.325 ≈ 2.33

To determine the total: 15.50 plus 2.33

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2 years ago
PLZ HELP SCALE FACTOR TRIANGLE<br><br> A. 10.5 cm<br> B. 31.5 cm<br> C. 63 cm<br> D. 189 cm
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If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².

We have the ratio:

54:18=\dfrac{54}{18}=3:1

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Therefore we have the equation:

567:x=3^2:1^2\\\\\dfrac{567}{x}=\dfrac{9}{1}\qquad|\text{cross multiply}\\\\9x=567\qquad|\text{divide both sides by 9}\\\\x=63

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3 0
3 years ago
(5,1); m=2 write an equation of the line
gtnhenbr [62]
Hey there! :) 

To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.

Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept

Since we're already given the slope, all we really need to do is find the y-intercept.

We can do this by plugging our known values into the slope-intercept equation.

y = mx + b

Since we're trying to find "b," we need to plug in "y, m, x" into our formula.

(1) = (2)(5) + b

Simplify.

1 = 10 + b

Subtract 10 from both sides.

1 - 10 = b

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So, our y-intercept is 9! 

Now, we can very simply plug our known values into slope-intercept form.

y = mx + b

y = 2x - 9 → final answer

~Hope I helped!~
3 0
3 years ago
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