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svp [43]
4 years ago
12

Two people start walking at the same time in the same direction. One person walks at 8 mph and the other person walks at 2 mph.

In how many hours will they be 4.5 miles apart?
Mathematics
1 answer:
schepotkina [342]4 years ago
7 0
Time = distance/speed

The distance between the walkers increases at the rate of (8 mph) -(2 mph) = 6 mph. That distance will be 4.5 mi after ...
  (4.5 mi)/(6 mi/h) = 4.5/6 h = 3/4 h

In 3/4 hour they will be 4.5 miles apart.
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Which number should be added to the expression x^2-8x to change it into a perfect square trinomial?
vovangra [49]

The perfect square (x-a)^2 can be expanded as follows:

(x-a)^2=x^2-2ax+a^2

So, we have to think of the term -8x as -2ax, which implies a=4.

Thus, we have to add a^2, i.e. 16, to complete the perfect square:

(x-4)^2 = x^2-8x+16

3 0
3 years ago
I need help with this problem
Soloha48 [4]

Answer:

3.\ \dfrac{3x}{11x}, \dfrac{6}{22},  \dfrac{9}{33},\dfrac{12}{44}

4. -18\\5.\ 400

Step-by-step explanation:

<u>Solution 3:</u>

Equivalent fractions to are to \frac{3}{11} be found out.

<u>Method: </u> By Multiplying both the denominator and numerator with the same number, we can easily find equivalent fractions.

1. Multiply with 2:

\dfrac{3 \times 2}{11 \times 2}\\\Rightarrow \dfrac{6}{22}

2. Multiply with 3:

\dfrac{3 \times 3}{11 \times 3}\\\Rightarrow \dfrac{9}{33}

3. Multiply with 4:

\dfrac{3 \times 4}{11 \times 4}\\\Rightarrow \dfrac{12}{44}

If we try to write in variable form, it can be written as:

\dfrac{3x}{11x}

where x is any number.

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

<u>Solution 4:</u>

(2x-10) when x=-4

2 \times (-4) -10\\\Rightarrow -8 -10\\\Rightarrow -18

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

<u>Solution 5:</u>

(10a)^2, a=-2\\\Rightarrow \{10 \times (-2)\}^2\\\Rightarrow (-20)^2\\\Rightarrow 400

4 0
3 years ago
PLEASE HELP AND HURRY!
Kamila [148]

Answer:

ANSWER BELOW

Step-by-step explanation:

If the door is 9 x 2 ft (18 sq ft):

12 x 18 = 216 sq ft. (Front face including the door)

216 sq ft - 18 sq ft = 198 (Front face not including the roof or door)

For the roof, the formula is h b/2:

So if the height is 4 and the base is 18, the area of the roof is 36.

To find the total area, you must add the area of the front face and the roof (without the door).

198 + 36 = 234 sq ft

Have a wonderful day my friend!

8 0
3 years ago
Boomboom has 2 mangoes. 1 litchi and 1 jackfruit. Describe all possible ways of how he can distribute it to anyone of his friend
bulgar [2K]
What is the number of friend he has
7 0
3 years ago
Which pairs of integers are additive​ inverses? <br><br> 4,4 <br> 5,-4 <br> 4,-4 <br> 5,-5
Soloha48 [4]
4, -4. Additive inverse simply means that the sum = 0, because -4 is the inverse of 4 for the 'sum operation'
6 0
3 years ago
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