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Andru [333]
2 years ago
14

Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches

Mathematics
1 answer:
sergeinik [125]2 years ago
5 0

Answer:

\large \boxed{\text{5.00 lb}}

Step-by-step explanation:

\begin{array}{rcl}1.20x + 3.60 & \leq & 9.60\\1.20x & \leq & 6.00\\x &\leq & \mathbf{5.00}\\\end{array}\\\text{Rammy can buy $\large \boxed{\textbf{5.00 lb}}$ of peaches.}

Check:

\begin{array}{rcl}1.20(5.00) + 3.60 & \leq & 9.60\\6.00 + 3.60 & \leq & 9.60\\9.60 & \leq & 9.60\\\end{array}

OK.

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2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.
vova2212 [387]

Answer:

a_n = 2.2 + 0.6 n

a_50 = 32.2

Step-by-step explanation:

What's the common difference of this series?

a_1 = 2.8

a_2 = 3.4

Common difference = a_2 - a_1 = 3.4 - 2.8 = 0.6.

Expression for the nth term:

a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n

n = 50 for the fiftieth term. Therefore

a_{50} = 2.2 + 0.6 \times 50 = 32.2.

6 0
2 years ago
One way to solve the system is to _____________ a variable.
Ivahew [28]

One way to solve the system is to <u>substitute</u> a variable.

<u>Explanation:</u>

One approach to solve an equation is by substitution of one variable. Right now, a condition for one factor, at that point substitute that arrangement in the other condition, and explain. All value(s) of the variable(s) that fulfills a condition, disparity, arrangement of conditions, or arrangement of imbalances.

The technique for tackling "by substitution" works by settling one of the conditions (you pick which one) for one of the factors (you pick which one), and afterward stopping this go into the other condition, "subbing" for the picked variable and fathoming for the other. At that point you back-explain for the principal variable.

8 0
2 years ago
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A writer makes on average one typographical error every page. The writer has landed a 3-page article in an important magazine. I
marysya [2.9K]

Answer:

The probability that the reporter made no typographical errors for the 3-page article is 5%.

Step-by-step explanation:

Let <em>X</em> = number of typographical errors made by the writer.

The average umber of mistakes mad by the writer every page is, <em>E </em>(<em>X</em>) = 1.

The random variable <em>X</em> is defined as finite number of occurrence of a certain activity in a fixed interval of time.

A Poisson distribution is used to describe the distribution of occurrences in a certain interval.

Thus, the random variable <em>X</em> follows a Poisson distribution.

It is provided that the writer has landed a 3-page article in an important magazine.

Then the average number of mistakes in the 3 pages is:

<em>λ</em> = 3 × E (X) = 3 × 1 = 3.

The probability mass function of the Poisson random variable <em>X</em> is:

P(X=x)=\frac{e^{-3}3^{x}}{x!};\ x=0,1,2,3...

Compute the probability that the writer makes no mistake in a 3-page article as follows:

P(X=0)=\frac{e^{-3}3^{0}}{0!}=\frac{0.0498\times 1}{1}=0.0498\approx 0.05

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3 0
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yaroslaw [1]

This question is based on least common multiple method.

As given in the question,

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So we have been asked what is the minimum number of aunts Sana have.

As we have been given that the number of aunts and uncles is equal so to find the minimum number of aunts we will apply the least common multiple method.

So we get LCM of 5,10 as 10

Hence there are minimum 10 aunts.


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2 years ago
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