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Nata [24]
4 years ago
13

Joey Chestnut is trying to break his own world record for eating the most hot dogs and buns in 10 minutes. He needs to eat more

than 72 hot dogs to break his record. After 1 minute of competition, Joey has eaten 10 hot dogs. Joey wants to know the number of hot dogs per minute that he needs to eat for the next 9 minutes to break his own record. Let ddd represent the number of hot dogs Joey eats per minute. Write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record. What is the minimum whole number of hot dogs per minute Joey must eat to break his record? hot dogs per minute
Mathematics
1 answer:
____ [38]4 years ago
7 0
Hola! <span>el valor de x será igual a noventa y siete</span>
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Alan has $400 in his checking account. He withdraws $50 each week. The amount remaining in his account, f(x), after x weeks is
MrRa [10]

Answer:

  {0, 50, 100, 150, ..., 350, 400}

Step-by-step explanation:

The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.

  {0, 50, 100, 150, ..., 350, 400}

_____

The expression for f(x) is ...

  f(x) = initial balance - (rate of withdrawal) × (time period)

  f(x) = 400 -50x

This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."

However, <em>as applied to this problem</em>, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.

8 0
3 years ago
Help please thanks.............
kifflom [539]
Your answer is Graph A :)
5 0
3 years ago
Please help me answer ASAP!!!
Elodia [21]
X^2+3x-28

Synthetic division is very easy if u need elaboration on how to solve this problem just let me know and I’ll explain
8 0
4 years ago
Read 2 more answers
Square Root
Oxana [17]

Answer:

1).(x+\frac{1}{4})^{2}=\frac{4}{9}

2).x+\frac{1}{4}=\pm \frac{2}{3}

Step-by-step explanation:

Here the given equation is x^{2}+\frac{1}{2}x+\frac{1}{16}=\frac{4}{9}

We have to factor the perfect square trinomial on the left side of the equation

So left side of the equation is x^{2}+\frac{1}{2}x+\frac{1}{16}

= x^{2}+2\times \frac{1}{4}x+(\frac{1}{4})^{2}

=(x+\frac{1}{4})^{2}    since [(a+b)²= a²+b²+2ab]

Therefore the factorial form of the equation will be

(x+\frac{1}{4})^{2}=\frac{4}{9}

Now we have to solve the equation by applying square root property

\sqrt{(x+\frac{1}{4})^{2}}=\sqrt{\frac{4}{9}}

x+\frac{1}{4}=\pm \frac{2}{3}

5 0
3 years ago
Read 2 more answers
9. A 3D printer uses one spool of filament to produce 20 congruent solids. Suppose you want to produce similar solids that are 1
Evgesh-ka [11]

Answer:

15 figures

Step-by-step explanation:

To know with this, and knowing that each dimension is 10% longer, let's do a simple example assuming some random values.

Let's suppose that you have cylinder with a radius of 3 cm and height of 5 cm. The volume of this cylinder is:

V = π*(3)^2*5 = 45π cm^3

Now, if we raise the dimensions by 10%, the radius and height will be 3.3 and 5.5 respectively so, the new volume (V2) will be:

V2 = π*(3.3)^2*5.5 = 59.9π cm^3

So the ratio of both volumes is:

59.9π/45π = 1.331

This means that each new solid would have 1.331 times the volume of the original solid. Therefore, we can stablish a relation between the original figures and the new ones calling "x" the number of new figures so:

20 = 1.331x

solving for x:

x = 20/1.331

x = 15.03

You can round this to 15.

8 0
3 years ago
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