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Zepler [3.9K]
3 years ago
11

over the summer steven"s tutor told him he needed to complete 15 total workbook pages. he finished 5 workbook pages the first we

ek of summer. what fraction of the workbook pages does steven have left to complete?
Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0
He has 2/3 left to complete.
He did 5 out of 15 which is 5/15 or 1/3. Therefore he has 1-1/3 or 2/3 left.
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What is the area of this rectangle? A rectangle that is partitioned into two rectangles. The first rectangle has a measurement o
fiasKO [112]

Answer:

80 square meters

Step-by-step explanation:

A rectangle that is partitioned into two rectangles; rectangle A and rectangle B

Rectangle A:

Top = 5 meters

Side = 8 meters

Area of rectangle A = length × width

= 5 meters × 8 meters

= 40 meters ²

Rectangle B:

Top = 5 meters

Side = 8 meters

Area of rectangle B = length × width

= 5 meters × 8 meters

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Total area of the partitioned rectangle = area of rectangle A + area of rectangle B

= 40 meters ² + 40 meters ²

= 80 meters ²

6 0
3 years ago
How to find equation of line passing through the points (x,y)​
DochEvi [55]

First you must acknowledge that you are dealing with a line therefore you must write linear equation or linear function in this case.

Linear function has a form of,

y=mx+n

Then calculate the slope <em>m</em> using the coordinates of two points. Let say <em>A(x1, y1)</em> and <em>B(x2, y2)</em>,

m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}

Now pick a point either <em>A</em> or <em>B</em> and insert coordinates of either one of them in the linear equation also insert the slope you just calculated, I will pick point <em>A</em>.

y_1=mx_1+n

From here you solve the equation for n,

y_1=mx_1+n\Longrightarrow n=y_1-mx_1

So you have slope <em>m</em> and variable <em>n</em> therefore you can write down the equation of the line,

f(x)=m_{slope}x+n_{variable}

Hope this helps.

r3t40

3 0
3 years ago
If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)? A. –6
anyanavicka [17]

Answer:

-6i

Step-by-step explanation:

Complex roots always come in pairs, and those pairs are made up of a positive and a negative version. If 6i is a root, then its negative value, -6i, is also a root.

If you want to know the reasoning, it's along these lines: to even get a complex/imaginary root, we take the square root of a negative value. When you take the square root of any value, your answer is always "plus or minus" whatever the value is. The same thing holds for complex roots. In this case, the polynomial function likely factored to f(x) = (x+8)(x-1)(x^2+36). To solve that equation, you set every factor equal to zero and solve for the x's.

x + 8 = 0

x = -8

x - 1 = 0

x = 1

x^2 + 36 = 0

x^2 = -36 ... take the square root of both sides to get x alone

x = √-36 ... square root of an imaginary number produces the usual square root and an "i"

x = ±6i

6 0
3 years ago
Read 2 more answers
Mr. Gregson packs ornaments into boxes. Each box holds eight ornaments. Which representation displays the relationship between x
bearhunter [10]

Answer:

y = 8x

Step-by-step explanation:

Given that :

Ornanment are packed in boxes

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x = number of boxes packed

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Number of Ornanments packed = (Number ornaments per box * number of boxes packed

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8 0
3 years ago
If 1/2 = 32/d what is d first answer gets brainerlist
Scilla [17]

Answer:

D would be equal to 64

You just need to multiply 32 by 2

4 0
3 years ago
Read 2 more answers
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