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postnew [5]
2 years ago
12

How many feet does a car traveling at 57 mph cover in one hour? In one minute? In one second?

Mathematics
1 answer:
Shkiper50 [21]2 years ago
5 0

Hello!

We have to find how fast the car goes a minute

To find this we can do 57/60 since the car goes 57 miles an hour and there are 60 minutes in an hour

This gives us 0.95 miles a minutes

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In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let x,\ x\ge 0 be the number of students and y,\ y\ge 0 be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

15x+25y\ge 3,750

2. The auditorium can accommodate up to 180 spectators, hence

x+y\le 180

3. We get the system of inequalities:

\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise \$(15\cdot 50+25\cdot 125)=\$3,875

8 0
3 years ago
True or false? The quadratic equation 10p2 - 5p = -8 has one solution.
pav-90 [236]

Answer: False

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

Explanation:

I'll use x in place of p.

The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.

Compare this to ax^2+bx+c = 0

We have

  • a = 10
  • b = -5
  • c = 8

Plug those three values into the discriminant formula below

d = b^2 - 4ac

d = (-5)^2 - 4(10)(8)

d = 25 - 40*8

d = 25 - 320

d = -295

The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".

Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.

6 0
2 years ago
What is 7.2 times 10 to the 7th power times 14.6 x 10 to the 5th power?
Alexxx [7]

7 x 10^{7}  times 14.6 x10^{5}

<em>Multiply 7 and 14.6 and add exponents</em>

Final Answer 102.2 and 10^{5}

hope that helps :)

6 0
3 years ago
Read 2 more answers
Dustin only has 11 Poké balls. To collect more, he went to a few Poké stops and now has 33 Poké balls.
Rainbow [258]

Answer:

he gained 22 poke balls

Step-by-step explanation:

hope this help you

4 0
3 years ago
Read 2 more answers
Can someone solve -5x +2y=10
marta [7]

Answer:

x=\frac{2}{5}y-2

Step-by-step explanation:

-5x+2y=10\\-5x+2y-2y=10-2y\\-5x=2y-10\\\frac{-5x}{-5}=\frac{2y-10}{5}\\ x=\frac{2}{5}y-2

6 0
3 years ago
Read 2 more answers
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