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brilliants [131]
2 years ago
9

How many full 4 2/3 in. Sheets can be cut from 22 1/6 in. Stick

Mathematics
1 answer:
Stolb23 [73]2 years ago
5 0

Answer:

4

Step-by-step explanation:

Because i divided 4 2/3 by 22 1/6 = 4.75 and for full sheets it would be 4

Hope This Helped

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Multiple Choice
Zanzabum

A) Answer: A. 22.5 cm, 30 cm, and 37.5 cm


Setting the unity measurement as x, the three sides will be 3·x, 4·x, and 5·x. The sum of the three sides will be (3 + 4 + 5)·x = 12·x; this corresponds to the perimeter, therefore:

12·x = 90 cm


We can solve for x:

x = 90 / 12 = 7.5 cm


Hence, the sides will be:

7.5 · 3 = 22.5 cm

7.5 · 4 = 30 cm

7.5 · 5 = 37.5 cm


This situation is represented in option A (which is also the only option whose sides add up to 90).



B) Answer: C. never true


We have:

6 + 8x - 9 = 11x + 14 - 3x


Bring all the terms with x on the left, by subtracting from both sides 11x and -3x, and all the numbers on the right by subtrcting from both sides 6 and -9:

6 + 8x - 9 - 11x - (-3x) - 6 - (-9) = 11x + 14 - 3x - 11x - (-3x) - 6 - (-9)


Cancel out the opposite terms from each side:

8x - 11x + 3x = 14 - 6 + 9


Combine likely terms:

0x = 17


Now you should ask yourself: what number multiplied by zero gives 17 as a result? The answer is none because a number multiplied by zero always equals zero.


Hence, the statement is never true.


C) Answer: r \leq \frac{1}{5}


We have:

5r + 4 ≤ 5


Subtract 4 from both sides:

5r + 4 - 4 ≤ 5 - 4


Combine likely terms:

5r ≤ 1


Divide both sides by 5:

\frac{5r}{5} \leq \frac{1}{5}

r \leq \frac{1}{5}


To graph the set of solutions, you need to set:

y₁ = 5x + 4 and

y₂ = +5


Plot these two lines:

y₂ is a horizontal line at a height of 5;

y₁ is a line passing through (0, 4) and (1, 9)


The set of solutions will be the part of the graph in which y₁ lies underneath y₂ (see picture attached), that happens for x \leq \frac{1}{5}.





4 0
2 years ago
Read 2 more answers
What is the coefficient of 3x+-12
melisa1 [442]

Answer:

The coefficient of 3x + 12 is 3.

Step-by-step explanation:

The coefficient of an equation is the number that is multiplied by the varible. In this equation, x is being multiplied by 3, so the coefficient is 3.

4 0
2 years ago
Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account
telo118 [61]

Answer:

A(t) = 200+15t(1+0.02)^{t}

Step-by-step explanation:

Since the interest is calculated on the new balance every year.

Hence the formula used for compound interest is:

A = P(1+\frac{r}{n}^{nt}

where, A =Amount after t years

P =Principal amount

200 is the initial balance and Since, here the $15 is added to the balance each year. Therefore, P = 200+15t

r = rate each year (0.02)

t = time (in years) (t)

n = no. of times the interest is compounded in a year (n=1)

Therefore, the recursive formula is:

A(t) = 200+15t(1+0.02)^{t}

6 0
3 years ago
Read 2 more answers
What fraction is equivalent to 68%
masya89 [10]
68/100; 34/50;17/25    
5 0
3 years ago
Read 2 more answers
Does anyone know how to do this?
eduard

Answer:

on 60!! Hope this help's

Step-by-step explanation:

6 0
2 years ago
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