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3 years ago

The following data set represents the number of siblings 6students have in much class

Mathematics

2 answers:

Hitman42 [59]3 years ago

8 0

There is nothing there

yuradex [85]3 years ago

3 0

Answer:

there is nothing there

Step-by-step explanation:

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Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height double

Vikentia [17]

Answer:

311.6 cm

Step-by-step explanation:

To solve this problem, let's call:

k = Keith's height

n = nephew's height

Since the ratio is 15:7, we have

$\frac{k}{n}=\frac{15}{7}\\k=\frac{15}{7}n$ (1)

Then, Keith's height is increased by 16%, so the new height of Keith is

$k'=k+0.16 = 1.16k$ (2)

While the nephew's height is doubled:

$n'=2n$ (3)

We also know that Keith is now 34 cm taller than his nephew, so

$k'=n'+34$ (4)

Substituting (2) and (3) into (4), we get

$1.16k=2n+34$

And substituting (1),

$1.16\cdot \frac{15}{7}n=2n+34$

Solving for n,

$2.49n=2n+34\\\\0.49n=34\\n=\frac{34}{0.49}=69.4$

So the current height of the nephew is:

$n'=2n=2(69.4)=138.8 cm$

While Keith's current height is

$k'=138.8+34=172.8 cm$

So their total current height is

$k'+n'=172.8+138.8=311.6 cm$

8 0

4 years ago

Solve the system of equations. \begin{aligned} & -10x+3y = 5 \\\\ & x=y-4 \end{aligned} −10x+3y=5 x=y−4

Ksenya-84 [330]

Answer:

x = 1

y = 5

Step-by-step explanation:

You can use either substitution or elimination for this problem. I will use substitution.

Step 1: Replace x in the 1st equation

-10(y-4) + 3y = 5

-10y + 40 + 3y = 5

-7y = -35

y = 5

Step 2: Plug <em>y </em>into an original equation to find <em>x</em>

x = 5 - 4

x = 1

And you have your final answers!

7 0

3 years ago

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 2x. Find the height of t

n200080 [17]

$\bf \textit{volume of a cylinder}\\\\
V_c=\pi r^2h\qquad 
\begin{cases}
r=radius\\
h=height\\
------\\
r=x\\
h=y
\end{cases}\implies V_c=x^2y\pi 
\\\\\\
\textit{volume of a cone}\\\\
V_n=\cfrac{\pi r^2h}{3}\qquad r=2x\implies V_n=\cfrac{\pi \cdot (2x)^2h}{3}
\\\\\\
V_n=\cfrac{\pi \cdot 2^2x^2h}{3}\implies V_n=\cfrac{4x^2h\pi }{3}\\\\
-------------------------------\\\\$

$\bf V_c=V_n\implies x^2y\pi =\cfrac{4x^2h\pi }{3}\implies 3x^2y\pi =4x^2h\pi 
\\\\\\
\cfrac{3x^2y\pi }{4x^2\pi }=h\implies \boxed{\cfrac{3y}{4}=h}$

5 0

3 years ago

Use a number line to order the numbers from least to greatest 42% 0.43 17/40

Svetlanka [38]

42% = 42/100 = 0.42

0.43

17/40 = 0.425

---------------------------

42% 17/40 0.43

7 0

4 years ago

In a parallelogram ABCD point M is the midpoint of diagonal AC what is true about diagonal BD

Shalnov [3]

M is also the midpoint of the diagonal BD.

In a parallelogram, the diagonals are perpendicular bisectors of each other. That means that midpoint of one of the diagonals is also the midpoint of the other diagonal.

8 0

3 years ago