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Artyom0805 [142]
2 years ago
11

Max invests 20% of his

Mathematics
2 answers:
GrogVix [38]2 years ago
8 0

Answer:

$1150

Step-by-step explanation: 20% goes into 100 five times there for you can multiply the 230 by 5 and get the pay check amount

andrew-mc [135]2 years ago
6 0

Answer:

Max gets $1150 for his paycheck.

Step-by-step explanation:

I divided 230 and 0.20 by each other, as it's the opposite of multiplying 230 and 0.20. Doing that gets you 1150  :)

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The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height.
Leni [432]
1 foot = 12 inches. If you multiply 12 by 12 and then add 5, you get 149. 149 is less than 162 so it will be able to fit!
8 0
3 years ago
Write the expression as a single logarithm
vredina [299]

3\log_7y + 4(\log_7x - 5\log_7z)\\\log_7y^{3} + 4(\log_7x - 5\log_7z)\\\log_7y^{3} + 4(\log_7x - \log_7z^{5})\\\log_7y^{3} + 4(\log_7(\frac{x}{z^{5}}))\\\log_7y^{3} + \log_7(\frac{x}{z^{5}})^{4}\\\log_7(y^{3} \times (\frac{x}{z^5{5}})^{4})

4 0
3 years ago
gabriella wants to tile a room with an area of 320 square feet. the width of the room is 4/5 its length. what are the length and
Salsk061 [2.6K]
Assuming the shape of the room is a rectangle :

Area = Width x Length.

Let's call width "w" and length "l" . Now if, the width is 4/5 of the length that means 4/5 times length gives us the width, like this :

w=\frac { 4 }{ 5 } \cdot l

As given in the question, area of the rectangle is 320 square feet. And as I said before area of a rectangle can be found by multiplying its length and width. 

w.l=320

w=\frac { 4 }{ 5 } \cdot l , we can plug w's value in the previous equation to find "l". 

\frac { 4 }{ 5 } \cdot l\cdot l=320\\ \\ \frac { 4 }{ 5 } \cdot { l }^{ 2 }=320\\ \\ { l }^{ 2 }=320\cdot \frac { 5 }{ 4 } \\ \\ { l }^{ 2 }=\frac { 320\cdot 5 }{ 4 } \\ \\ { l }^{ 2 }=\frac { 1600 }{ 4 } \\ \\ { l }^{ 2 }=400\\ \\ \sqrt { { l }^{ 2 } } =\sqrt { 400 } \\ \\ l=20

Let's plug "l"s value in the equation.

w.l=320\quad \Longrightarrow \quad w\cdot 20=320\quad \Longrightarrow \quad w=\frac { 320 }{ 20 } \quad \Longrightarrow \quad w=16

The length is 20 feet and the width is 16 feet.


6 0
4 years ago
Read 2 more answers
Write an equation for each translation of y = |x|
nata0808 [166]
If you want to write an equation for an absolute value function this is the parent function y=a|x-h|+k.

In order to write an equation that is 16.5 units right you would do this:

y=|x-16.5|
If you are moving units left the number -16.5 would become 16.5

Remember when you are moving that the number inside is always the opposite sign of where you are moving 

Here is the answer:
y=|x-16.5|
Hope This Helps!
3 0
4 years ago
Read 2 more answers
-25 Points-
Furkat [3]

\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\\\ \begin{array}{ccccllll} &\stackrel{\stackrel{ratio}{of~the}}{Sides}&\stackrel{\stackrel{ratio}{of~the}}{Areas}&\stackrel{\stackrel{ratio}{of~the}}{Volumes}\\ \cline{2-4}&\\ \cfrac{\stackrel{similar}{shape}}{\stackrel{similar}{shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}~\hspace{6em} \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \cfrac{s}{s}=\cfrac{\sqrt{64}}{\sqrt{81}}\implies \cfrac{s}{s}=\cfrac{8}{9}\qquad \leftarrow \textit{ratio of the sides or scale factor}

6 0
3 years ago
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