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3 years ago

62.5% of what number is 30?

Mathematics

2 answers:

Shalnov [3]3 years ago

8 0

Answer:

Step-by-step explanation:

In-s [12.5K]3 years ago

5 0

Answer:

62.5% of 48 is 30

Step-by-step explanation:

Move the percentages place value two times... and it'll become .625 now multiply that to 48 and you get 30 but if you wanted to start out with 62.5% and 30 all you got to do is move the place value two time again and divide .625 to 30 and you get 48 and that is why the answer if 48

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Given points A (-3,-4) and B (2,0), points P (-1,-12/5) partitions line AB in the ratio

kvv77 [185]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&A&(~ -3 &,& -4~) 
&P&(~ -1 &,& -\frac{12}{5}~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AP=\sqrt{[-1-(-3)]^2+[-\frac{12}{5}-(-4)]^2}
\\\\\\
AP=\sqrt{(-1+3)^2+(-\frac{12}{5}+4)^2}\implies AP=\sqrt{2^2+\left( \frac{8}{5} \right)^2}
\\\\\\
AP=\sqrt{4+\frac{64}{25}}\implies AP=\sqrt{\cfrac{164}{25}}\implies AP=\cfrac{\sqrt{164}}{\sqrt{25}}
\\\\\\
\boxed{AP=\cfrac{2\sqrt{41}}{5}}$

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&P&(~ -1 &,& -\frac{12}{5}~) 
&B&(~ 2 &,& 0~)
\end{array}
\\\\\\
PB=\sqrt{[2-(-1)]^2+[0-\left(-\frac{12}{5} \right)]^2}
\\\\\\
PB=\sqrt{(2+1)^2+\left( \frac{12}{5} \right)^2}\implies PB=\sqrt{9+\frac{144}{25}}\implies PB=\sqrt{\cfrac{369}{25}}
\\\\\\
PB=\cfrac{\sqrt{369}}{\sqrt{25}}\implies \boxed{PB=\cfrac{3\sqrt{41}}{5}}$

so, let's check the ratio of AP:PB

$\bf AP:PB\implies \cfrac{AP}{PB}\implies \cfrac{\frac{2\sqrt{41}}{5}}{\frac{3\sqrt{41}}{5}}\implies \cfrac{2\underline{\sqrt{41}}}{\underline{5}}\cdot \cfrac{\underline{5}}{3\underline{\sqrt{41}}}\implies \cfrac{2}{3}$

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3 years ago

Write an algebraic rule for the trend line. Report your rule in slope intercept form.

Tju [1.3M]

Answer:

y = 5x + 20

Step-by-step explanation:

Here, we want to find the slope intercept form equation of the trend line

The general form is:

y =

mx + b

b is slope and m

is the y-intercept

b = 20

To get the slope, we select any two points and use the slope formula

we have the points;

(10,70) and (5,45)

The slope formula is;

m = (y2-y1)/(x2-x1) = (45-70)/(5-10) = -25/-5 = 5

The equation of the line is thus;

y = 5x + 20

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Esteban is making turtle brownies. the recipe calls for 3/4 bag of caramel squares. one bag has 24 caramel squares in it.

frez [133]

I believe the answer is 18

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3 years ago

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What is the scientific notation of 112,050?

kirill [66]

The Answer Will Be 1.1205 x 10 To The 5th Power.

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4 years ago

If log(base4)x=2.5 and log(base Y)125=-3/2, find the numerical value of x/y, in simplest form.

Naya [18.7K]

X = (2^2)^(2.5)
x = 2^(2 * 2.5) 
x = 2^5 
x = 32
y^(-3/2) = 125
y^(-3) = 125^2 
y^(-3) = (5^3)^2 
y^(-3) = (5^2)^3 
y^(-3) = 25^3 
y = 25^(-1) 
y = 1/25 

x/y => 
32 / (1/25) => 
32 * 25 => 
800 is the simplest form of above

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3 years ago