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e-lub [12.9K]
4 years ago
8

Write the verbal sentence as an algebraic expression, equation, or inequality.

Mathematics
1 answer:
sattari [20]4 years ago
4 0
9 > 3S hope this helps
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At a particular restaurant, each pizza roll has 60 calories and each mini hotdog has 70 calories. A combination meal with pizza
PolarNik [594]

Answer:

There are 9 pizza rolls and 12 mini hotdogs in the meal.

Step-by-step explanation:

We are given the following in the question.

Let x be the number of pizza rolls sold and y be the number of mini hotdogs in the combination meal.

Total number of items in combination meal = 21

Thus, we can write the equation:

x + y = 21

Calorie in a pizza roll = 60

Calorie in a mini hotdog = 70

Total calories = 1380

Thus, we can write the equation:

60x + 70y = 1380

Solving the two equations, we get,

60x + 70y - (60x+60y) = 1380 - 60(21) \\10y = 120\\\Rightarrow y = 12\\\Rightarrow x = 21-12 = 9

Thus, there are 9 pizza rolls and 12 mini hotdogs in the meal.

4 0
4 years ago
What is the outlier in the following data set:<br> 15,11,10,8,9,1,8,7,5,4,2,3, and 37?
NeTakaya

Step-by-step explanation:

The steps to find an outlier:

1. Put the data in numerical order.

2. Find the median.

3. Find the medians for the top and bottom parts of the data. This divides the data into 4 equal parts.

The median with the smallest value is called Q1. The median for all the values - usually just called the median is also called Q2. The median with the largest value is Q3.

4. Subtract...Q3 - Q1. This value is the InterQuartileRange or IQR. Remember that the range means taking the largest minus the smallest. This is a special range having to do with the quartiles.

5. Multiply...1.5 * IQR

6. Take your answer from #5 and do 2 things with it. A). Subtract it from Q1 and B) Additional to Q3.

7. Look at all your data points. If any are SMALLER than Q1 - 1.5 *IQR, they are outliers. If any are LARGER than Q3 + 1.5 *IQR, they are also outliers.

For your data....the median, Q2 is

(43+38)/2 = 40.5.

Q1 = (30+26)/2 = 28.

Q3 = (54+52)/2 = 53

The IQR is 53 - 28 = 25

1.5 * IQR = 37.5

Q1 - 37.5 = 28 - 37.5 = -9.5. There is no data value less than -9.5.

Q3 + 37.5 = 53 + 37.5 = 90.5. there is no data value greater than 90.5.

My conclusion is that there are no outliers in this data.

I hope this helps!

4 0
3 years ago
Jenny has $200.00 in her savings account. The account earns interest at the rate of 3% each year.How much money will Jenny have
11111nata11111 [884]
200*1.03=206
She will have 206$ after one year.
3 0
3 years ago
Write the coordinates of the vertices after a reflection across the line y = 4
Lubov Fominskaja [6]
A'(-9,4)
B'(-4,4)
C'(0,-4)
D'(-5,-4)
8 0
3 years ago
I need help with this....
trapecia [35]

Answer:

-512

Step-by-step explanation:

The laws of exponents state that multiplying two exponents together of the same base allows you to add the exponents. Raising an exponent to another power allows you to multiply the exponents. In this case. you have (-2)^3*((-2^3))^2. First, you  take the second term, or ((-2^3))^2 and simplify it. Since you're raising an exponent to another exponent you have (-2)^(3*2), or (-2)^6. Now, you multiply by (-2)^3. Since they both have the same base, you can add the exponents to get (-2)^9. Since (-2)^9 is raised to an odd exponent, you know you're answer is going to be negative. 2^9 is 512, so that negative would be -512. If you're looking for an expression for this, you can write (-2)^9

5 0
3 years ago
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