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Zina [86]
2 years ago
7

2. Mary receives $2.00 weekly as an allowance. If

Mathematics
1 answer:
Marina86 [1]2 years ago
6 0

Answer:

35%

Step-by-step explanation:

She is saving $0.70/$2.00 weekly.

To convert this into a percentage we covert it to decimal then multiply by 100 :

$0.70/$2.00 = 0.35

0.35 × 100 = 35%

Our final answer is 35%.

Hope this helped and have a good day

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Linda soent 3/4 of her saving on furniture and the rest on a TV. If the TV cost her $200, what were her orginal savings?
garri49 [273]
She would have spent $600 on the furniture, and $200 on the T.V.

Her original savings were $800.
8 0
3 years ago
9. Rama is using a hand glider to fly directly from the top of one cliff onto another cliff below. The glider is guided by a cab
dexar [7]

Answer:

791.2 ft

Step-by-step explanation:

The cable is inclined and this acts as the hypotenuse. Since the other two sides are given.

H=\sqrt {x^{2}+y^{2}}

where x and y represent the distance between two cliffs apart and difference in heights. Substituting 740 for x and 280 for y then

H=\sqrt {740^{2}+280^{2}}=791.20161779409930627669981858168023442712 ft\approx 791.2 ft

6 0
3 years ago
Read 2 more answers
I really need help please answer
belka [17]

Answer: Choice B) between 6:48 AM and 5:12 PM

=========================================================

Explanation:

I've seen this problem before, and the first part states that if the temperature is above 25 degrees C, then the air conditioner turns on to start cooling the castle.

We want to find values of t that satisfy f(t) > 25

This is the same as trying to solve f(t) - 25 > 0

So we have,

f(t) = 24 - 5\cos\left(\frac{\pi}{12}t\right)\\\\   f(t)-25 = 24 - 5\cos\left(\frac{\pi}{12}t\right)-25\\\\   f(t)-25 = -1 - 5\cos\left(\frac{\pi}{12}t\right)\\\\   f(t)-25 > 0\\\\ -1 - 5\cos\left(\frac{\pi}{12}t\right) > 0\\\\

To solve this inequality, we can graph using Desmos as I've done so below. See the attached image.

Note how I used x in place of t. This is because the graphing calculator graphs (x,y) coordinates.

Furthermore, note how I marked the two points (6.769, 0) and (17.231, 0)

Between these two points is when the curve is above the x axis, when f(t) > 25 is true. This is when the temperature is above 25 degrees C, and when the air conditioner is working.

When t = 6.769, this means that roughly 6.769 hours have passed since midnight which means we're somewhere between 6 am and 7 am. The only value that works from the answer choices is 6:48 AM.

Note how 0.769*60 = 46.14 is fairly close to 48. This error is likely due to how things are rounded.

Then focusing on the point  (17.231, 0) means that t = 17.231. So 17.231 hours have elapsed since midnight and we're now at roughly 1700 hours

1700 hours in military time = 17-12 = 5 pm

The time value t = 17.231 is between 5 pm and 6 pm. The only thing that works is 5:12 pm.

We can then note how 0.231*60 = 13.86 which is also probably due to rounding error (it's fairly close to 12 though).

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

In short, we found the function for f(t)-25 and graphed it as shown below. The two points (6.769, 0) and (17.231, 0) help us see when the AC is turned on, which is roughly between 6:48 AM and 5:12 PM. This seems like a reasonable time for the AC to be operational. Something like between 5:12 PM and 6:48 AM seems like a bad idea because the AC would be working mostly at night, instead of during the day.

Anything beyond t = 24 represents the next day, which is when the cycle starts all over again. So we only need to focus on the window from t = 0 to t = 24. Specifically, the portion of the f(t)-25 curve that is above the x axis.

8 0
3 years ago
What is 1 and 3/10 plus 3 and 1/3
Mamont248 [21]

Answer:

4 19/30

Step-by-step explanation:

1  3/10 + 3  1/3 = 139/30 or 4.63333...

Simplyfiy  139/30  to  4 19/30

3 0
3 years ago
By visual inspection, determine the best-fitting regression model for the
zhuklara [117]

Answer:

The answer is Linear

Step-by-step explanation:

I always guyed myself as a happy face. If it is happy it is linear. :)

8 0
3 years ago
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