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alukav5142 [94]
3 years ago
6

What does proportion mean in algebra when dealing with graphs

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0
A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if y=Mc
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Beulah used 3/5 pounds of dough, 3/4 pound of sugar, & 2/3 pounds of sprinkles to make donuts. How many pounds of donuts did
andre [41]

Number of pounds of dough used = 3/5 pounds.

Number of pounds of sugar used = 3/4 pounds

Number of pounds of sprinkles used = 2/3 pounds.

Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.

Plugging values.

Total number of pounds of donuts = 3/5 + 3/4 + 2/3.

We need to add all those fractions.

In order to add fracions, we need to find common denominator (lcd).

We have 5,4 and 3 in denominators.

Least common denominator(lcd) of 5, 4 and 3 is 60.

We need to make each denominator equals 60.

Multiplying first fracion by 12 in top and bottom, we get

3*12/5*12 = 36/60

Multiplying first fracion by 5 in top and bottom, we get

3*15/4*15 = 45/60

Multiplying first fracion by 20 in top and bottom, we get

2*20/3*20 = 40/60.

Therefore,

3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60

               =  121/60

Let us convert 121/60 into mixed fraction.

Dividing 121 by 60 we get quotient =2 and remainder =1.

So, the mixed fraction is 2 1/60.

Therefore, Beulah made total 2 1/60 pounds of donuts.

4 0
3 years ago
A rental car company charges $53.75 per day to rent a car and $0.12 for every mile driven. Jaya wants to rent a car, knowing tha
Aliun [14]

Answer:

Jaya can afford to rent a car 4 days while staying within her budget.

Step-by-step explanation:

The inequality would have to indicate that the cost of renting a car has to be less than or equal to $230. The cost to rent a car is equal to the cost per day for the number of days plus the price per mile for the number of miles, which is:

53.75x+0.12y≤230, where:

x is the number of days the car is rented

y is the number of miles driven

As the statement says that she plans to drive 125 miles, you can replace "y" with this value and solve for x:

53.75x+0.12(125)≤230

53.75x+15≤230

53.75x≤230-15

53.75x≤215

x≤215/53.75

x≤4

According to this, the answer is that Jaya can afford to rent a car 4 days while staying within her budget.

5 0
3 years ago
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
mamaluj [8]

Answer:

Option c. Reflection across the x-axis and vertical stretch by a factor of 7

Step-by-step explanation:

If the graph of the function y = cf(x) represents the transformations made to the graph of y = f(x) then, by definition:

If 0 then the graph is compressed vertically by a factor a.

If |c| > 1 then the graph is stretched vertically by a factor a.

If c then the graph is reflected on the x axis.

In this problem we have the function y = -7secx and our paretn function is y = secx

therefore it is true that

c = -7\\\\|-7|> 1\\\\-7.

Therefore the graph of y = secx is stretched vertically by a factor of 7 and is reflected on the x-axis

Finally the answer is Option c

6 0
3 years ago
What is the median. I have 3 more questions that have to deal with the median.
Rom4ik [11]

Answer:

<h2><u>47.5</u></h2>

Step-by-step explanation:

Median - The middle number in a list of numbers starting from least to greatest.

Knowing this, we can start.

The first step is to rewrite all the numbers from least to greatest

15, 19, 28, 32, 43, 52, 66, 72, 72, 81

Now cross off a number from the least and greatest until there is 1 or 2 numbers left

19, 28, 32, 43, 52, 66, 72, 72

28, 32, 43, 52, 66, 72

32, 43, 52, 66

43, 52

If you are left we 1 number, that is your answer. If you are left with 2 numbers, there is an extra step

In the case that you have 2 numbers, you need to add them together, and divide by 2

43 + 52 = 95

95 ÷ 2 = 47.5

Thus 47.5 is our answer

6 0
3 years ago
Account A and Account B both have a principal of $1,000 and an annual interest rate of 4%. No additional deposits or withdrawals
postnew [5]
Account A
Total-$1800
Interest-$800

Account B-
Total-$2191.12
Interest-$1191.12

Account B by $391.12
4 0
2 years ago
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