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ehidna [41]
3 years ago
8

A group of 40 children attend a baseball game. Each child received either a hotdog or a bag of popcorn. Hotdogs were $2.25 and p

opcorn was $1.75. If the total bill was $83.50, how many hotdogs and bags of popcorn were purchased
Mathematics
1 answer:
lions [1.4K]3 years ago
8 0

Answer:

  • 27 hot dogs
  • 13 bags of popcorn

Step-by-step explanation:

Had all received popcorn, the bill would have been 40×$1.75 = $70. The bill was $13.50 more than that. Each hot dog purchased in place of popcorn adds $0.50 to the bill, so the number of hot dogs must be ...

  $13.50/$0.50 = 27

Of course, the remainder of the 40 items were popcorn, so 13 bags of popcorn.

27 hot dogs and 13 bags of popcorn were purchased.

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Annette [7]

Answer: B. Line AC is congruent to line BD

Step-by-step explanation:

The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Since they both share Leg DC, their hypotenuse should be congruent to use this proof.

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2 years ago
Y=-1/4x-5 and 2x+8y=56 determine if paralllel ,nethier or perpendicular
Dominik [7]

Answer:

Parallel

Step-by-step explanation:

In the slope-intercept form (y=mx +c), the coefficient of x tells us the slope of the line.

2x +8y= 56

Let's rewrite this equation into the slope-intercept form.

8y= -2x +56

Dividing both sides by 8:

y=  -  \frac{2}{8} x +  \frac{56}{8}

y =  -  \frac{1}{4} x + 7

Slope= -¼

y= -¼x -5

Slope= -¼

Since both lines have the same slope, they are parallel to each other.

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2 years ago
If P (A) =24/33<br> what is the value of P (A')?
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2 years ago
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4 0
2 years ago
he nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the
MrRissso [65]

Answer:

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7079

The margin of error is:

M = T*s = 2.7079*234.12 = 633.97

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1088.64 - 633.97 = 454.67 milligrams

The upper end of the interval is the sample mean added to M. So it is 1088.64 + 633.97 = 1722.61 milligrams

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

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3 years ago
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