John has a job transporting soft drinks by truck. his truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. there is a combined total of 820 cans and bottles in his truck. let x be the number of 14 -ounce cans in his truck. write an expression for the combined total weight

Answers

Answer 1

Answer:

14x + 70y = 820. Where we have taken y to be the number of bottles and x to be the number of cans.

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Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.

Answers

f(x) = 3x^2 : axis of symmetry is x = 0.
g(x) = x^2 - 4x + 5 = (x - 2)^2 + 1 : axis of symmetry is x = 2
h(x) = -2x^2 + 4x + 1 = -2(x - 1)^2 + 3 : axis of symmetry is x = 1

Therefore, based on their axis of symmetry, f(x) < h(x) < g(x)

Seth has 4 plaid shirts and 5 solid-colored shirts hanging together in a closet. In his haste to get ready for work. He randomly grabs 1 of these 9 shirts. What is theprobability that the shirt Seth grabs is plaid? I have terible problems with ration, please i need help :(

Answers

The probability that the shirt Seth grabs is plaid will be 4/9.

What is Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

Number of plaid shirts = 4

Number of solid colored shirt = 5

Now, Total number of shirts = 4 + 5

= 9 shirts.

Since, Of these 9 shirts, 4 shirts are plaid.

Thus, The probability that the shirt Seth grabs is plaid,

= Number of plaid shirts / Number of total shirts

= 4 / 9

Thus, The probability that the shirt Seth grabs is plaid will be 4/9.

Learn more about the probability visit:

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4/9 Is your answer!
I hope this helps!! :)

Ms. Bennett's class has 15 students, 12 of them are athletes. What percentage of the Class are athletes.

Answers

Answer:

total number of students =15

12/15×100

=1200/15

=80% ans

80% is the correct answer

the minute hand of a clock is 6 inches long and moves from 3 o'clock to 5 o'clock. how far does the tip of the minute hand move? express your answer round to two decimal places

Answers

$from\ 3\ o'clock\ to\ 5\ o'clock\ is\ 2\ hours\n\n12\ hours\ \ \ \rightarrow\ \ \ 360^0\n2\ hours\ \ \ \ \rightarrow\ \ \ \ \alpha \n\n \alpha = (2\cdot360^0)/(12) =60^0\n\nx= (60^0)/(360^0) \cdot 2 \pi\cdot 6\ [in]= (1)/(6) \cdot12 \pi \ [in]=2 \pi \ [in]\approx2\cdot3.14\ [in]=6.28\ [in]$

16a +72 what is the answer

Answers

the answer to your question is (8(2a+9)

Find the equation of the horizontal line that passes through the point: (-1, 5

Answers

Because the line is horizontal, the y value would be the same across it, which means that the y intercept is 5. You would then write the final answer as y = 5. I hope this helps!

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One cake weighs 400gms. How much would 25 such cakes weigh?

4x + 5y = 19 , 5y - 4x = 38