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shusha [124]
3 years ago
7

Stephen scored 17/20 on his spelling test. What was his percentage score ?​

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:

Here the answer

Step-by-step explanation:

Sorry for the writing its hard to draw using computer + i am bad at it : )

hope u like it

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Jada made 8 cups of blueberry jam and divided the jam equally among 6 containers. How much jam went in each container?
Greeley [361]

Answer:

1.3 repeated is the answer

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Question is in the picture:
Sholpan [36]
Its 5 times larger.
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What is the sum of the first 51 consecutive odd positive integers?
Angelina_Jolie [31]
We call:

a_{n} as the set of <span>the first 51 consecutive odd positive integers, so:

</span>a_{n} = \{1, 3, 5, 7, 9...\}

Where:
a_{1} = 1
a_{2} = 3
a_{3} = 5
a_{4} = 7
a_{5} = 9
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span>a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}
<span>
Then:

</span>a_{n} = a_{1} + (n-1)d
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span>S_{k} = ( \frac{a_{1} +  a_{k}}{2}  ).k
<span>
Therefore, we need to find:
</span>a_{k} =  a_{51}  

Given that a_{1} = 1, then:

a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1

Thus:
a_{k} = a_{51} = 2(51)-1 = 101

Lastly:

S_{51} = ( \frac{1 + 101}{2} ).51 = 2601 

4 0
3 years ago
Help plzzzzzz plzzzzzzzzzzzz
UkoKoshka [18]

Answer:

x = 20°

y = 70°

Step-by-step explanation:

the angle adjacent to the 40° angle must be 140° because the two angles form a straight line (which contains 180°)

in the isosceles triangle with the 'x', that means the other two angles must be equal and are (180-140) ÷ 2, which equals 20°

to find 'y', consider the larger right triangle with angles of 90° and 20°; angle y must equal 180 - (90 + 20) = 70°

5 0
3 years ago
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