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Sonja [21]
3 years ago
8

The graph below shows the relationship between the amount of peanuts and the amount of chocolate in different packages of snack

mix for each ounce of peanuts? A.1/2 B.2/3 C.3/4 D.3/2 please i need answers !!!!

Mathematics
1 answer:
Tomtit [17]3 years ago
5 0

Answer:

Option (B)

Step-by-step explanation:

Since the linear graph is passing through the origin, there is a proportional relationship between the amount of chocolate (C) and amount of peanuts (P) used in the package of snacks mix,

P ∝ C

P = kC

k = \frac{P}{C}

Here k = proportionality constant

Since, the given line passes through a point (3, 2),

k = \frac{2}{3}

Therefore, ratio of chocolate and peanuts mixed is \frac{2}{3}.

Option (B) is the correct option.

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Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 1 mi, 9 mi, 10 mi B. 8 mi, 9 mi, 2 mi
Svetach [21]

Answer:

Option B. 8 mi, 9 mi, 2 mi

Step-by-step explanation:

The option A doesn't have a set of numbers which could be the lengths of the sides of a triangle. The numbers 1,9,10 mean that the longest side is exactly the sum of the others. The only possible way is they lie in the same line, no triangle is formed

Option C gives the numbers 1,9,11. It's impossible to have a side of 11 when you have the sum of the others less than 11. The maximum extension of the other sides (forming a line) won't be enough to reach the length of 11

Option D is also infeasible for the same reason as the option A. The three lines must be aligned to be connected in its extremes

Option B is the only one who can provide a set of possible lengths of a triangle since the sum of the shortest sides is greater than the third. If we open wide enough the angle between the 2 mi side and the 8 mi side, we would eventually connect the 9 mi side and form a triangle

7 0
3 years ago
you are going to borrow $71500.00 for 200 days you are to be loaned the money at an interest rate of 7.5% and you are given the
Pachacha [2.7K]

Answer:

given,

Amount borrowed = $71500

Time = 200 days

interest rate = 7.5 %

ordinary interest rate for year = 71500\times \dfrac{7.5}{100}

                                                  = $5362.5

exact interest rate for the year = 71500\times \dfrac{7.5}{100}\times \dfrac{200}{365}

                                                   = $2938.35

hence, the exact interest rate is less than the ordinary interest rate which means you should choose exact interest rate.

7 0
3 years ago
Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the expe
elena55 [62]
Sarah rolled a one 3 times and rolled a three 1 time in a total of 20 rolls. She rolled one or three 4 times out of 20. Therefore,

\frac{4}{20} = 0.2

The answer is A.
4 0
4 years ago
Determine whether the function f(x) = 3x4 is even or odd.
Lana71 [14]

Answer:

i am 4 th

Step-by-step explanation:

7 0
3 years ago
Plz help meeeeeeeeeee
PSYCHO15rus [73]

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

                = (45 × 4) / 3

                = 180/3

                = 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

           = 27/12

           = 9/4

           = 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

         = 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

          = 3/2

          = 1.5

Thus, the complete table:

Miles           45           135           180             90

Hours           3/4          9/4           3                 3/2

Verification:

Miles / Hour =  45/(3/4) = 60

Miles / Hour = 135 / 2.25 =  60

Miles / Hour = 180 / 3 = 60

Miles / Hour  = 90 / 1.5 =  60      

8 0
3 years ago
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