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gtnhenbr [62]
3 years ago
12

Pablo ran a concession stand last Saturday and made $79.80 from selling a total of 53 hot dogs and hamburgers. Each hot dog sold

for $1.40 and each hamburger sold for $1.80. Which system of equations can be used to determine the number of hot dogs, x, and hamburgers, y, that were sold?
A. 1.4x + 1.8y = 79.8
39x + 14y = 53

B. 0.7x + 0.9y = 79.8
x + y = 3.2

C. 1.4x + 1.8y = 79.8
x + y = 53

D. 2.8x + 3.6y = 3.2
x + y = 546
Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

C. 1.4x + 1.8y = 79.8

x + y = 53

Step-by-step explanation:

The problem statement gives rise to two equations, one for the amount of money made, and one for the number of items sold. If x and y represent the numbers of items, and if 53 items were sold, then one of the equations will be ...

x + y = 53

This is sufficient to let you choose the correct answer.

___

Since "x" items were sold for $1.40 and "y" items were sold for $1.80, the sales revenue will be the sum of products of price and quantity:

1.40x +1.80y = 79.80

This confirms the choice of answer.

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Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,
grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60

Common ratio is:

r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02

So r = 1.02

The general form for geometric sequence is:

a_n = a_1r^{n-1}

Putting the first term and r

a_n = 1500 . (1.02)^{n-1}

To find the 9th month's balance

Putting n=9

a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

5 0
3 years ago
A department store is offering a discount on purchases of $75 or more. Monica sees a pair of
pantera1 [17]
She needs to spent 14.55 more
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3 years ago
Is square root 1-cos^2theta=-sintheta true? if so, in which quadrants does angle theta terminate?
oksano4ka [1.4K]

Yes it is true:

(1 - cos^2 x) = sin^2 x Sqr.(1 - cos^2 x) = sin x and (-sinx) True, since sin x negative. Also, x terminates in quadrant 3 and 4. Hope this is helpful

4 0
2 years ago
Find the median and mode of this set of data 5 , 1, 3, 5, 8 , 10, 8, 14
kobusy [5.1K]

Answer:

Mode: 5 and 8

Median: 6.5

Step-by-step explanation:

Mode - the number that appears the most in a set of data. There may be no mode ( when no number out numbers the others)  or multiple modes ( multiple numbers appear the same number of times). Both 5 and 8 appear twice in this set.

Median - The middle number. To start, order your numbers from least to greatest.

1, 3, 5, 5, 8, 8, 10, 14

You have an even set of numbers (8 in total), which means there won't be one number left in the middle. In this situation, there are two: 5 and 8. So you just need to add them together and divide by 2

8 + 5 = 13        

13/ 2 = 6.5

3 0
3 years ago
Read 2 more answers
Write an equation for the line that is parallel to y = 2x + 6 and passes through (-1,5).
Fantom [35]

Answer:

y=2x+7

Step-by-step explanation:

A linear equation is typically organized in the form y=mx+b, where m is the slope of the line and b is the y-intercept (the y-coordinate of the point on the line that crosses the y-axis).

Parallel lines <em>always</em> have the same slope. When we examine the given equation, y=2x+6, we can identify immediately that 2 is in the place of m, the slope. This means that the slope of the line we're trying to solve for is also 2. So far, our equation looks like this:

y=2x+b

The last thing we need to calculate is b, the y-intercept. We can do this by plugging in the given point (-1,5) as x and y.

y=2x+b

5=2(-1)+b

5=-2+b

Add 2 to both sides to isolate b

5+2=-2+b+2

7=b

Now that we know b, we plug that into our original equation and now we have a final equation of:

y=2x+7

I hope this helps!

6 0
3 years ago
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