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kherson [118]
3 years ago
11

At a restaurant, the bill comes to $44. If you decide to leave a 20% tip, how much total do you need to pay? Give your answer to

the nearest dollar.
Mathematics
1 answer:
allsm [11]3 years ago
7 0
Answer:

$53.00

Explanation :

20% would be $8.80
$8.80+$44.00=$52.80
$52.80 rounded to the nearest dollar would be $53.00
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The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds
boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation h=-16t^2+24t+16, where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation h=-16t^2+24t+16, we get,

0=-16t^2+24t+16

Switch sides, we have,

-16 t^{2}+24 t+16=0

Let us solve the equation using the quadratic formula.

Thus, we have,

t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}

Simplifying, we get,

t=\frac{-24 \pm \sqrt{576+1024}}{-32}

t=\frac{-24 \pm \sqrt{1600}}{-32}

t=\frac{-24 \pm 40}{-32}

Hence, the two values of t are

t=\frac{-24 + 40}{-32}   and   t=\frac{-24 -40}{-32}

Simplifying the values, we get,

t=\frac{16}{-32}  and  t=\frac{-64}{-32}

Dividing, we get,

t=-\frac{1}{2}  and  t=2

Since, t cannot negative values, we have,

t=2

Thus, the rock will hit the ground at 2 seconds.

8 0
3 years ago
Which statement must be true?
diamong [38]
I think it’s A Im not completely sure tho.
3 0
2 years ago
A conjecture and the paragraph proof used to prove the conjecture are shown.
quester [9]

First box is EF.

Second box is segment congruence postulate.

Third box is segment additon postulate.

Fourth box is DF. For this one the last sentence basically gives you the answer.

Just so you know for the fourth I guessed on if it's DF lined or DF unlined. I made my educated guess on the fact that the last line doesn't have a line. I hope this helps, and please tell me if I got something wrong, or my explanation wasn't sufficent enough for you.

8 0
3 years ago
Help please i am stuck on what to do
nikklg [1K]

Answer:

These are confusing Beth , b/c you have to remember that they will add to 100%

Step-by-step explanation:

so

green = 3*  yellow

100% = green + yellow + 35% + 25%

100% = 3* yellow + yellow +60%

40% = 4* yellow

10% = yellow

30% = green

there are 14 purples in the bag , which is 35% of total

14/.35 = 40

there are a total of 40 pins

so

4    are yellow  (10% of 40  or 40* 0.1)

12 are green    (30% of 40  or 40*0.3)

14  are purple  (35% of 40 or 40*0.35)

10  are grey  (25% of 40  or 40*0.25 )

see?  : |

6 0
2 years ago
The Gotemba walking trail up Mount Fuji is about 9 kilometres (km) long. Walkers need to return from the 18 km walk by 8 pm. Tos
worty [1.4K]

Answer:

He must start his journey by 11 AM

Step-by-step explanation:

Speed of Toshi while walking up the mountains is 1.5 kilometres per hour

Speed of Toshi while walking down  the mountains = 2 * Speed of Toshi while walking up the mountains = 3 kilometres per hour

Time taken to travel 9 Km in the upward direction by Toshi = 9 Km/1.5 kilometres per hour = 6 hours

Time taken to travel 9 Km in the downward direction by Toshi = 9 Km/3 kilometres per hour = 3 hours

He will take total 6 hours + 3 hours = 9 hours to travel 18 Km distance

Thus, He must start his journey by 11 AM

3 0
3 years ago
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