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2 years ago

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At an ice cream store, a family ordered 4 banana splits and 5 hot fudge sundaes, paying a total of $27 for their order. The next

customer ordered 5 banana splits and 5 hot fudge sundaes and paid $30. How much does each item cost?

1 answer:

mash [69]2 years ago

6 0

Answer:

both items are $3 each

Step-by-step explanation:

amos: luvnonxistent

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Shante is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How

mel-nik [20]

Answer: 20 hours

Step-by-step explanation: We want to round our answer to the nearest hour, we know that the rocket can travel 200 miles per 1 minute, but we want to know first how many miles the rocket can travel per 60 minutes or 1 hour.

To find how many miles the rocket can travel at 60 minutes or 1 hour, simply multiply 200 x 60. 200 x 60 = 12,000 miles per hour.

Now, we want to find how many hours it would take for the rocket to travel from the earth to the moon.

Simply divide 239,000 by 12,000 to get the amount of hours it would take to reach the moon. 239,000/12,000 = about 20 hours.

So, it would take the rocket ship 20 hours to reach the moon from the earth.

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3 years ago

I know I need to divide the polynomials but i don't know the equation

andrezito [222]

Answer:

4t³-5t²+2t+200 - (3t³-2t²+5t+100) = t³-3t³-3t+100

Step-by-step explanation:

4 0

3 years ago

X²+Y²=250 and XY=117<br> What are the values of X and Y?

yan [13]

Answer:

<h3> x = -9, y = -13 </h3><h3> or x = 13, y = 9</h3><h3> or x = -13, y = -9</h3><h3> or x = 9, y = 13</h3>

Step-by-step explanation:

$x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}$

$y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9$

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3 years ago

A comparison number sentence

andreev551 [17]

I need a little more to work with

3 0

3 years ago

The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr

max2010maxim [7]

Answer:

The appropriate probability model for X is a Binomial distribution,

X $\sim$ Bin (<em>n</em> = 5, <em>p</em> = 1/33).

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of American births resulting in a defect.

The proportion of American births that result in a birth defect is approximately <em>p</em> = 1/33.

A random sample of <em>n</em> = 5 American births are selected.

It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.

In this experiment the success is defined as a defective birth.

The random variable <em>X</em> satisfies all criteria of a Binomial distribution.

The criteria are:

Number of observations is constant
Independent trials
Each trial has only two outcomes: Success and Failure
Same probability of success for each trial

Thus, the appropriate probability model for X is a Binomial distribution, Bin (<em>n</em> = 5, <em>p</em> = 1/33).

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3 years ago

Read 2 more answers