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Viefleur [7K]
3 years ago
9

How long will it take a seal swimming at a speed of 8 miles per hour to travel 52 miles

Mathematics
1 answer:
Olin [163]3 years ago
7 0
8\ miles\ per\ 1\ hour\\
52\ miles\ per\ x\ hour\\\\
proportion:\\
8-1\\52-x\\\\cross\ multiplication\\\\
8x=52\ \ \ | divide\ by\ 8\\\\
x=6.5\\\\
It\ will\ take\ 6.5\ hours.
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What is the perimeter of a rectangular building that is 80 feet wide and 140 feet deep?
EastWind [94]

Answer:

= 440 ft

Step-by-step explanation:

The perimeter of a rectangle is found by adding up all the sides.  We use the formula

P =2(l+w)

where l is the length and w is the width

The length is 140 and the width is 80

P = 2(140+80)

   = 2(220)

   = 440 ft

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7
zhenek [66]

Answer:

2

Step-by-step explanation:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}

\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}

3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

4 0
3 years ago
What is 5X - 5 distributive property
TiliK225 [7]

Answer: 5(x-1)

Step-by-step explanation:

5*x = 5x

5*-1 = -5

therefore the answer is 5(x-1)

4 0
3 years ago
Read 2 more answers
What is the equation of a line with slope 4 and passes through point (4,2)?
bezimeni [28]

Answer:

y = 4x - 14

Step-by-step explanation:

Use point-slope form and substitute the values.

y - 2 = 4(x - 4)

y - 2 = 4x - 16

y = 4x - 14

4 0
3 years ago
Please I need help ASAP
Anni [7]

Answer:

A. 3t = 24

Step-by-step explanation:

$24 is the total amount spent.

$3 is the price per ticket.

so to get the number of tickets, t, you need the equation 3t = 24.

4 0
3 years ago
Read 2 more answers
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