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3 years ago

The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of

Mathematics

1 answer:

Yakvenalex [24]3 years ago

4 0

Answer:

81 square inches.

Step-by-step explanation:

Draw a diagram to represent what you know.

You don't know the values of the lengths so represent them algebraically.

You know the perimeter is 45 inches and that the perimeter is calculated by the sum of all of the sides of a shape.

You can rearrange to find the value of a side you've denoted as some unknown variable.

The area is given by the product of the sides. Express this algebraically and then input the value you found.

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A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

8 0

3 years ago

Complete the table of equivalent ratios. 3:2 ?:4 9:6 12:8 15:10

Vera_Pavlovna [14]

Answer:

6:4

Step-by-step explanation:

well on one side your adding 3 to the next ratio

so on the other side your doing the same of adding 2 to the next ratio

also they all reduce down to 3:2

6 0

3 years ago

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X - 4y = 28 2x + y =2

Tresset [83]

X - 4y = 28
2x + y = 2

solve for x
y= -2x + 2
y= x/4 - 7

solve for system of equations
(4,-6)
x= 4, y= -6

7 0

3 years ago

Please help math

Naddika [18.5K]

$\displaystyle\\
15(2a - 2) = 5(a^2 -1) \\ \\ 
30a - 30 = 5a^2-5\\\\
-5a^2 + 30a -30 + 5 =0\\\\
-5a^2 + 30a -25 =0 ~~~~~\Big| \times (-1) \\\\
5a^2 - 30a +25 = 0~~~~~\Big| : 5 \\\\
a^2 - 6a +5 = 0 \\ \\ 
a_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}= \frac{6\pm \sqrt{36-20}}{2}= \frac{6\pm \sqrt{16}}{2}=\frac{6\pm 4}{2}= \boxed{3\pm 2} \\ \\ 
a_1 = 3+ 2 = \boxed{5}\\\\
a_2 = 3-2 = \boxed{1}$

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3 years ago

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A line segment has a midpoint of (5, 1/2 ) If one endpoint is (5,4), what is the other endpoint?

garik1379 [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

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