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Aneli [31]
1 year ago
10

Function and Reasoning:

Mathematics
1 answer:
Akimi4 [234]1 year ago
4 0

The number of calories per ounce of soda is 10

<h3>Part A: Represent the relationship between the number of calories and the number of ounces</h3>

The given parameters are:

Calories = 50

Ounces = 5

Let the number of calories be y and the ounces be x.

So, we have:

y = kx

Substitute y = 50 and x = 5

50 = 5k

Divide by 5

k = 10

Substitute k = 10 in y = kx

y = 10x

See attachment for the graph of the relationship between the number of calories and the number of ounces

<h3>Part B: What is the number of calories per ounce of soda?</h3>

In (a), we have:

k = 10

This means that the number of calories per ounce of soda is 10

<h3>Part C: How does the unit rate relate to the slope of the line in the graph above? </h3>

The unit rate and the slope represent the same and they have the same value

Read more about linear graphs at:

brainly.com/question/4025726

#SPJ1

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1. Each kid eats the same amount of food each morning.
Serhud [2]

Answer:

a) One kid eat tubs of yogurt = 1.3 tub of yogurt

b) One kid eat granola = 3.33 ounces

c) cost to feed one kid each morning is $1.12

Step-by-step explanation:

Three kids eat tubs of yogurt = 4

Three kids eat granola = 10 ounces

Cost of one tub of yogurt = 54 cents

Cost of 10 ounces of cereal = $1.26

a) One kid eats how many tubs of yogurt in a morning?

Three kids eat tubs of yogurt = 4

One kid eat tubs of yogurt = 4/3

                                            = 1.3 tub of yogurt

b) How many ounces of granola does a kid eat each morning?

Three kids eat granola = 10 ounces

One kid eat granola = 10/3

                                  = 3.33 ounces

c) How much does it cost to feed one kid each morning?

Cost of 1 tub of yogurt = 54 cents

Cost of 1.3 tub of yogurt = 54*1.3 = 70.2 cents

Converting cents to dollar:

100 cents = 1 dollar

70.2 cents = $0.7

So, Cost of 1.3 tub of yogurt (for one kid)= $0.7

Cost of 10 ounces of cereal = 1.26

Cost of 1 ounce of cereal = 1.26/10

Cost of 3.33 ounces of cereal = (1.26/10)*3.33

                                                 = $0.42

Cost of 3.33 ounces of cereal (for one kid) = $0.42

Total cost for each kid = $0.42+$0.7 = $1.12

So, cost to feed one kid each morning is $1.12

7 0
2 years ago
Adam and Tom share a sum of money in the ratio 18:17
Digiron [165]

x = total amount split between Adam and Tom.

since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.

\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5

\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft

5 0
2 years ago
Write as an equation/ inequality c is equal to -58
ArbitrLikvidat [17]

Answer:

not enough information, I'd be able to help if there was sorry

6 0
3 years ago
27382-1= What is it only friends answer
Norma-Jean [14]

Answer:

ehhh- i give up

Step-by-step explanation:

6 0
3 years ago
What is the slope of this line?
sergiy2304 [10]

Answer: 2/1

Step-by-step explanation:

2/1 because you use rise/run which is moving up 2 units from (0,3) to (0,5) and then moving right 1 unit to (1,5)

8 0
2 years ago
Read 2 more answers
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