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S_A_V [24]
2 years ago
5

Zoe compares the price of a sweatshirt at two stores. At Store A, the sweatshirt costs $25. A friend told her that the sweatshir

t costs 30% more at Store B.
Zoe wrote the expression 25+0.3(25) to find the price of the sweatshirt at Store B.


Which equivalent expression could she also use to find the price of the sweatshirt at Store B?

A) (1+0.3)25
B) (1−0.3)25
C) 1+0.3(25)
D) 25 + 0.3
Mathematics
1 answer:
Rudiy272 years ago
8 0

Answer:

<u>A) (1+0.3)25</u>

<u />

Explanation:

Zoe's expression <u>25+0.3(25)</u> equals to 32.5. So the only expression that equals to 32.5 is <u>A) (1+0.3)25</u>.

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Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy se
Anna11 [10]

Answer:

$1170

Step-by-step explanation:

Let the sells for economy seats be =x

Let the sells for deluxe seats be=y

The inequalities that can be obtained are;

x≥1  --------------------at least 1 economy seats

y≥6 --------------------at least 6 deluxe seats

x+y=30-----------------maximum number of passengers allowed on each boat

Graph the inequalities

Use the graph tool to locate the point of maximum profit.The intersecting point for the three graphs

The point is (24,6)

Hence, x=24 and y=6

Profit for each

Economy seats 24×$40=$960

Deluxe seats 6×$35=$210

Maximum profit for one tour

$960+$210=$1170

3 0
3 years ago
Select the correct answer from each drop-down menu.
kifflom [539]

Answer:

  1. 0.83
  2. 0.9
  3. steeper than
  4. slower than

Step-by-step explanation:

Letting t=1 in Ted's equation, we find that he climbs 5/6 stairs in 1 second. As a decimal, 5/6 ≈ 0.83.

Michael climbs 9 stairs in 10 seconds so his rate is ...

... (9 stairs)/(10 seconds) = (9/10) stairs/second = 0.9 stairs/second

Michael's graph will be a line with a slope of 0.9; Ted's graph will be a line with a slope of about 0.83, so the line on Michael's graph is steeper.

Ted climbs fewer stairs per second, so his rate is slower than Michael's.

_____

<em>Comment on the problem</em>

You're being asked to compare two different rates that are associated with two different people. First the comparison is one way, then it is the other way. This can be confusing. It might be helpful to draw and label a simple chart to help you keep it straight. (The attachment is such a chart scribbled on a bit of scratch paper. It is sufficient for the purpose.)

3 0
3 years ago
Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x&gt;1
Lera25 [3.4K]
Assuming the function is

f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}

For f(x) to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)
\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)
\iff2=b+c

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

f'(x)=\begin{cases}2&\text{for }x1\end{cases}

\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)
\iff2=2b+c

Now we solve for b and c:

\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2
5 0
3 years ago
Pls help i need help with this question
Lapatulllka [165]

Answer:

slope = 1

Step-by-step explanation:

\frac{y_{2} -y_{1} }{x_{2}- x_{1}  }

(2,4) (0,2)

\frac{2-4}{0-2} = \frac{-2}{-2} = 1


3 0
3 years ago
Read 2 more answers
Evaluate each expression if x = –3, y = 8, and z = –4. xz
podryga [215]
The answer to the question is 12
3 0
3 years ago
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