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padilas [110]
3 years ago
11

it takes Sarah 50 minutes to walk to her friends house 1 3/4 miles away. What is her walking pace in miles per hour?

Mathematics
2 answers:
Eduardwww [97]3 years ago
6 0
Sarah's speed is \frac{ 1\frac{3}{4} miles}{50 mins}

Is the same as, \frac{ \frac{7}{4} mile}{50 mins}

We need to find her speed in miles/hr.
We have her speed in miles/min.

So, we have to convert the 50 mins to hour.

1 minute = \frac{1}{60} hour
∴ 50 minute = 50* \frac{1}{60} hours
                
=
50* \frac{1}{60} hours

=
\frac{50}{60} hours

=
\frac{5}{6} hours

So, Sarah's speed in miles per hour is - \frac{\frac{7}{4} miles}{ \frac{5}{6} hrs}.

Also, as \frac{7}{4} is equal to 1.75.

And, as \frac{5}{6} is equal to 0.83.

So, Sarah's speed can also be expressed as \frac{1.75 miles}{0.83 hrs}
RideAnS [48]3 years ago
3 0
50 minutes= 5/6 hr

(1 3/4 miles)/ (5/6 hr)= 2.1 miles/hr

Hope this would help~
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An employee’s new salary is $26.355 after getting a 5% raise. What was the salary before the increase pay?
Serga [27]

Answer:

$25.03725

Step-by-step explanation:

<u>Step 1:  Multiply both sides by %5 to get the raise</u>

26.355 * %5 is same as 26.355 * 0.05

$1.31775 is the raise

<u>Step 2:  Subtract the raise from the new salary</u>

26.355 - 1.31775

25.03725

Answer:  $25.03725

5 0
3 years ago
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets
mrs_skeptik [129]

Answer:

adult $8.00

child $5.50

Step-by-step explanation:

Let the price of 1 adult ticket = x.

Let the price of 1 child ticket = y.

2x + 4y = 38

3x + 3y = 40.5

Multiply the first equation by 3. Multiply the second equation by -2. Then add them.

         6x + 12y = 114

(+)      -6x - 6y = -81

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

                  6y = 33

y = 33/6

y = 5.5

2x + 4y = 38

2x + 4(5.5) = 38

2x + 22 = 38

2x = 16

x = 8

Answer:

adult $8.00

child $5.50

4 0
3 years ago
Read 2 more answers
For the matrices below. Find all (real) eigenvalues. <br><br> A= [7 9]<br> [0 9]
Jet001 [13]

Answer:

The answer is "9 and 7".

Step-by-step explanation:

Given:

A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right]

Using formula:

|A-\lambda \cdot I|= 0\\\\

\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\

\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\

8 0
3 years ago
4. A town has a population of 450,000 people. If 60% of the population are under 25 years of age, how many people in the town ar
lesya [120]

Answer: <em>ok so if 60% is under 25 then we can assume 40% is over 25, and then do 40% of 450,000, which is 180,000 .</em>

<em>so we can say that 180,000 people in the town are over 25 years old</em>

5 0
2 years ago
Find the point on the parabola y^2 = 8x at which the ordinate is double the abscissa.​
aliya0001 [1]

Answer:

Step-by-step explanation:

Let's make a complex of functions

y^2 = 8x

y = 2x

Now let's solve it

(2x)^2 = 8x

4x^2 - 8x = 0

4x(x - 2) = 0

x = 0, 2

y = 0, 4

So the answer is (2, 4)

Hope you like it, study well

3 0
3 years ago
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