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Sergio039 [100]
3 years ago
7

Need help with 2,3,4

Mathematics
1 answer:
Harman [31]3 years ago
3 0

Answers:

In these exercices are ilustrated the representations of the fractions

2) Firstly, we have 3 equal segments, each one representing \frac{1}{4}, hence:

\frac{3}{4} is <u>3</u> copies of \frac{1}{4}

Let's prove it, taking into account we are adding fractions with the same denominator:

\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{3}{4}

There are <u>4</u> equal parts that make a whole

Four copies of <u>\frac{1}{4}</u> make \frac{4}{4} or <u>1</u> whole

\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{4}{4}=1

3) Here we have a line divided into four segments, each one of \frac{1}{5}. Hence:

This is \frac{4}{5} of a line. \frac{4}{5} is <u>4</u> lengths of  \frac{1}{5}

\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{4}{5}

If we draw one more \frac{1}{5} we will have \frac{5}{5} or 1 whole.

Then:

<u>5</u> lengths of \frac{1}{5} make \frac{5}{5} or <u>1</u> whole.

4) In this part the answer is in the attached image. If we have two equal segments, each one of \frac{1}{3} we will have as a result \frac{2}{3}.

If we add another \frac{1}{3} segment, we will have three segments of \frac{1}{3}, having as a result \frac{3}{3}=1

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Answer:

All 4 are solutions to the inequality.

Step-by-step explanation:

What we know:

The inequality requires that 48/f is less than or equal to 46.

Plug in each of the choices to see if that will work

48/12 ≤ 46

4 ≤ 46, so f = 12 will work.

48/-12 ≤ 46

-4 ≤ 46, so f = -12 will also work.

48/-3 ≤ 46

-16 ≤ 46, so f = -3 will work as well.

48/8 ≤ 46

6 ≤ 46, so f = 8 will work as well.

Since all 4 work, that means you should check all 4 choices on the question.

3 0
3 years ago
Find the value of 4^2 + 6^2
seraphim [82]

Answer:

52

Step-by-step explanation:

4^2=4×4=16

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4 0
3 years ago
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses
sweet [91]

Answer:

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

Step-by-step explanation:

Let x represent the number of 30-day periods.

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.

Therefore the equation =

$165 -$4 × x

= 165 - 4x.......... Equation 1

He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.

$145 -$3.50 × x

= 145 - 3.50x........... Equation 2

Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together

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Equation 1 = Equation 2

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We simplify further:

165 - 145 = -3.50 + 4.0x

20 = 0.5x

x = 20/0.5

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Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40

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Arlecino [84]

Answer:

Step-by-step explanation:

Hello, first of all we can find a value for f(1)

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And we can get the derivative of the equation so.

(uv)'=u'v+uv' \text{ and } \dfrac{df(x^2)}{dx}=2xf'(x^2) \text{ so we can write}\\\\f(x)+xf'(x)+2xf'(x^2)=0\\\\\text{And then, for x = 1}\\\\f(1)+f'(1)+2f'(1)=0\\\\ f(1)+3f'(1)=0\\\\ 3f'(1)=-f(1)=-1\\\\\large \boxed{ f'(1)=-\dfrac{1}{3} }

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4 0
2 years ago
Assume that you live in a simple economy in which only three goods are produced and traded: Cashews, pecans and almonds. Suppose
oee [108]

Answer:

Step-by-step explanation:

The information given in the question can be represent in a table format for better understanding with the additional columns as follows:

Items          Weights Q₀         Prices P₀      Prices P₁        P₀Q₀        P₁Q₀

Cashew        1                        $12.50           $17.00        $12.50      $17.00

Pecans         1                         $4.00            $4.00         $4.00        $4.00

Almonds       1                         $5.50           $3.00          $5.50        $3.00

Total                                                                                 $22           $24

Can you say what happened to the overall "price level"?

The changes in overall price level can be a result of a condition termed as inflation rate

How might you construct a measure of the "change in price level"?

To construct a measure of the change in price level; we need to determine the consumer price index (CPI).

The consumer price index can be determined by using the relation:

=\mathbf{\dfrac{Sum \ of \ P_1Q_0}{Sum \ of  \ P_oQ_o}*100    }

= \mathbf{\dfrac{24}{22}*100    }

= 109.0%

consumer price index (CPI) is 109.0% ; This implies that there is a 9.9% inflation in the economy.

7 0
3 years ago
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