Marianne completed 2/10 and Arlene 3/10 so that’s 5/10 which means you and Tyler did 5/10 if you divide that by 2 it’s 5/20 I think but I don’t really understand as the possible answers aren’t fractions? Hopefully that’s right haha
Answer:
A
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6, thus
sum = 180° × 4 = 720°
Thus each interior angle = 720° ÷ 6 = 120° and therefore
3x = 120 ( divide both sides by 3 )
x = 40 → A
Really ? ?
Price per inch has the units of "price/inch". See that ? It comes from dividing 'price' by 'inches'.
Price = $7.56
Inches = don't know;
... but we know it's 7 feet, and every foot has 12 inches in it
... so there are (7 x 12) = 84 inches of ribbon.
Price per inch = ($7.56) / (84 inches)
Prince per inch = (7.56/84) (dollars/inch)
Now, YOU go ahead and do the division to get the final answer.
Answer:
There is a constant of proportionality between the two purchases and each book costs $4.99 (option B).
Step-by-step explanation:
A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.
In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.
In this case, the constant of proportionality k will relate the number of books bought N and their cost C in the following way:
C=k*N
So k is the price per book.
For the 12 books:
k=4.99
And for the 21 books:
k=4.99
The constant k for the two purchases is the same, thus <u><em>there is a constant of proportionality between the two purchases and each book costs $4.99 (option B).
</em></u>
Answer:
22. The surface area is 1/9 of its original value
24. The surface area is 120 m^2 less than its original value.
Step-by-step explanation:
22. For similar figures, the surface area is proportional to the square of the linear dimension scale factor. Multiplying all linear dimensions by 1/3 will result in reducing the surface area to (1/3)^2 = 1/9 of its original value.
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24. As above, the scaled base surface area will be (1/4)^2 = 1/16 of its original value. Since one dimension of the lateral area is multiplied by 4 and the other dimension is multiplied by 1/4, the net effect on that area is multiplication by (1/4)(4) = 1. That is, the lateral area will remain unchanged.
The overall surface area will be reduced by 15/16 of the area of the bases. The area of the bases is (2)(1/2)(8 m)(16 m) = 128 m^2. The changed figure will have a surface area that is 120 m^2 smaller.
