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3 years ago

The following situation is proportional:

Mathematics

1 answer:

Rama09 [41]3 years ago

5 0

All I know is for b it’s c divided by p

Hope this helps you some

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If a number is increased by 20% the result is 24. find the number

marin [14]

Answer:

Step-by-step explanation:

x+20%=24
x+x*20/100=24
x+0.2x=24
1.2x=24
x=24/1.2
x=20

3 0

3 years ago

Is it possible to name more than 5 decimal numbers between 4.78 and 4.79?

sleet_krkn [62]

It is possible to list more than 5 decimal numbers between 4.78 and 4.79.

The list is:

4.781

4.782

4.783

4.784

4.785

4.786

4.787

4.788

4.789

4 0

4 years ago

Find the volume of the composite figure.

yarga [219]

Area of cone: $\frac{1}{3} \pi r^2h=1/3 \pi 27=9 \pi$

area of cylinder: $27 \pi$

area of whole thing: $9 \pi +27 \pi =26 \pi$

5 0

3 years ago

The equation y^2+8y−x+18=0 represents a parabola. Drag and drop the expressions into the boxes in the equation to rewrite the eq

mario62 [17]

Answer:

The equation of parabola is standard form is $x=\left(y+4\right)^2+2$

Step-by-step explanation:

Given equation of parabola is,

$y^2+8y-x+18=0$

In order to find the equation of parabola in standard form, eliminate x from left side of equation and use completing square method to find the equation.

First step is to add x on both side of equation.

$y^2+8y-x+18+x=0+x$

$y^2+8y+18=x$

Rewriting,

$x=y^2+8y+18$

Now applying completing square method as follows.

Following are the steps for calculation of this method.

Find the last term of above equation by using below formula,

$Last\:term\:of\:square=\left(\dfrac{coefficient\:of\:y}{2}\right)^{2}$

Now coefficient of y is 8.

$\therefore Last\:term\:of\:square=\left(\dfrac{8}{2}\right)^{2}$

Simplifying,

$Last\:term\:of\:square=\left(4\right)^{2}$

$Last\:term\:of\:square=16$

Second step is to add and subtract the last term.

$x=y^2+8y+18+16-16$

Rewriting,

$x=y^2+8y+16+18-16$

Since $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$

Using above formula,

$x=\left(y+4\right)^{2}+2$

Therefore, the equation of parabola in standard form is $x=\left(y+4\right)^{2}+2$

4 0

3 years ago

The pair of points (-4, y) and (5, 7) lie on a line with slope . What is the value of y? You must show all of your work to recei

Svetach [21]

The slope of a line is given by the ratio of the rise to the run of the line.

The value of, y is 4

Reasons:

The given points on the line are; (-4, y), and (5, 7)

The slope of the line, = $\dfrac{1}{3}$

Required:

To find the value of y

Solution:

The formula for the slope is given as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where;

(x₁, y₁) = (-4, y)

(x₂, y₂) = (5, 7)

Which gives;

$Slope, \, m =\dfrac{7-y}{5-(-4)} = \dfrac{7-y}{5+4} =\dfrac{1}{3}$

3·(7 - y) = 1·(5 + 4) = 9

21 - 3·y = 9

3·y = 21 - 9 = 12

$y = \dfrac{12}{3} = 4$

The value of, y = 4

Learn more here:

brainly.com/question/1617757

8 0

3 years ago