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sergeinik [125]
3 years ago
8

Jeo is comparing the price of different boxes of cereal. One box has 16 oz. and costs $3.50. Another costs $3.89 for a 24 oz. bo

x. What is the difference in cost, in dollars, per ounce between the two boxes of cereal?
Mathematics
1 answer:
velikii [3]3 years ago
7 0

Answer:

The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.

Step-by-step explanation:

☆Let's solve using proportion.

☆One box:

\frac{16 \: oz.}{3.50 \: dollars}  =  \frac{1 \: oz.}{x}  \\  \\  \frac{3.50}{16}  =  \frac{16x}{16 }  \\  \\ 0.22 = x

☆Another box:

\frac{24 \: oz.}{3.89 \: dollars}   = \frac{1 \: oz.}{x }  \\  \\  \frac{3.89}{24}  =  \frac{24x}{24}  \\ \\ x = 0.16

☆All we need to do is subtract: 0.22 - 0.16 = 0.06

☆The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.

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Given the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.​
Yuliya22 [10]

Answer:

x = 5

Step-by-step explanation:

The difference between consecutive terms will be equal , then

a₂ - a₁ = a₃ - a₂ , that is

x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides

x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides

- 2x + 11 = x - 4 ( subtract x from both sides )

- 3x + 11 = - 4 ( subtract 11 from both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

5 0
3 years ago
Read 2 more answers
The results of a swim <br> Wet are shown. Who swam faster explain your reasoning
kolbaska11 [484]

Answer:

The Susana swam the fastest.

Step-by-step explanation:

<u>Speed</u> : It is defined as the distance traveled per unit time.

<u>Formula used</u> : Speed = \frac{Distance}{Time}

First we have to determine speed of the following persons.

<u>For Tawni :</u>

Distance = 50 m

Time = 40.8 s

1.225 m/s which is the speed of Tawni.

--

<u>For Pepita :</u>

Distance = 100 m

Time = 60.2 s

1.661 m/s which is the speed of Pepita

--

<u>For Susana :</u>

Distance = 200 m

Time = 112.4 s

1.779 m/s which is the speed of Susana

From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.

Thus, Susana swam the fastest.

7 0
2 years ago
−4(w+1)=−24 what is t? plz help
Blizzard [7]
- 4 w - 4 = - 24
- 4w = - 20
w = 5
5 0
3 years ago
In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,
kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

P(X)=^nC_x\ p^x(1-p)^{n-x}, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0
3 years ago
Y=x^2+3x-4 and y=4x-4
sweet [91]
The answer is (0,-4),(1,0)
8 0
3 years ago
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