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Zina [86]
3 years ago
14

strip diagram shows the fractional parts of a trail dence completed. use the diagram to write a equation representing how you wo

uld find the total amount of the trail dence. 1/3 and 7/12
Mathematics
1 answer:
anastassius [24]3 years ago
3 0
You need to show the digarm 
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What are the first nine multiples of 5, and 3?
andrezito [222]

First 9 multiples of 5:

\begin{gathered} 5\cdot1=5 \\ 5\cdot2=10 \\ 5\cdot3=15 \\ 5\cdot4=20 \\ 5\cdot5=25 \\ 5\cdot6=30 \\ 5\cdot7=35 \\ 5\cdot8=40 \\ 5\cdot9=45 \end{gathered}

First 9 multiples of 3:

\begin{gathered} 3\cdot1=3 \\ 3\cdot2=6 \\ 3\cdot3=9 \\ 3\cdot4=12 \\ 3\cdot5=15 \\ 3\cdot6=18 \\ 3\cdot7=21 \\ 3\cdot8=24 \\ 3\cdot9=27 \end{gathered}

3 0
1 year ago
200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
1 year ago
Solve the system of equations. Show ALL your work. Put your answer in the form of an ordered pair (x, y)
stiv31 [10]
This should be easy because we just have to use substitution method. Substitute the value of x from the second equation into the x of the first equation. 
                         -4(2y) + 11y = 15
                         -8y + 11y = 15
                                   3y = 15   ; y = 5
Substitute this value of y to either the first or second equation.
                                        x = 2(5) = 10
The ordered pair is therefore (10,5).
6 0
3 years ago
There are 36 ribbons of which 1/5 are yellow, 7/15 are pink and the remaining ribbons are
Kay [80]

Step-by-step explanation:

Let there be x blue ribbons

\therefore \:  \frac{1}{5}  +  \frac{7}{15}  + x = 36 \\   \therefore \:  \frac{1 \times 3}{5 \times 3}  +  \frac{7}{15}  + x = 36 \\ \therefore \:  \frac{3}{15}  +  \frac{7}{15}  + x = 36 \\ \therefore \:  \frac{3 + 7}{15}   + x = 36 \\ \therefore \:  \frac{10}{15}   + x = 36 \\ \therefore \: x = 36 -  \frac{10}{15} \\ \therefore \: x =  \frac{36 \times 15 - 10}{15} \\ \therefore \: x =  \frac{540 - 10}{15} \\ \therefore \: x =  \frac{530}{15} \\ \therefore \: x =  35\frac{5}{15}  \\ \\  \therefore \: x =  35\frac{1}{3} \: are \: blue.  \\

5 0
3 years ago
A color printer prints 31 pages in 9 minutes. How many pages does it print per minute?
djyliett [7]
According to my calculations, it would take approximately 3.4 (being in decimal form) pages PER minute or Just 3 minuets being rounded to the nearest tenth. If I am I correct please correct me. I used a calculator.
7 0
2 years ago
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