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3 years ago

The cost of a skateboard c after a 15% discount can be represented by the expression c−0.15c . Simplify the expression.

Mathematics

2 answers:

Lana71 [14]3 years ago

6 0

0.85c should be your answer
Hope this helped:)

ohaa [14]3 years ago

5 0

Answer:

0.85c

Step-by-step explanation:

To simplify the expression, subtract like terms:

c - 0.15c

= 0.85c

So, the simplified expression is 0.85c

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8-2b=-2/3(12b+6) solve

Natalija [7]

We have to mutiply factor -2/3 times every agument from the parenthesis.
$8-2b=- \frac{2*12b}{3}- \frac{2*6}{3} \\ 8-2b= -8b-4 \\$ /+8b
8+6b=-4 /-8
6b=-12 /:6
b=-2 - its the answer

7 0

3 years ago

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Why is 13/0 irrational plsssss help!!!!

Kobotan [32]

Answer:

i think its because it is an odd number im in middle school so im not sure but let me know if this is right

Step-by-step explanation:

6 0

3 years ago

find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope

Paraphin [41]

Slope-intercept form:

y = mx + b "m" is the slope, "b" is the y-intercept

For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2

3.) y = 2x - 2

The given line's slope is 2, so the perpendicular line's slope is -1/2

$y=-\frac{1}{2}x+b$ To find "b", plug in the point (-5 , 5) into the equation

$5=-\frac{1}{2}(-5)+b$

$5=\frac{5}{2}+b$ Subtract 5/2 on both sides

$5-\frac{5}{2}=b$ Make the denominators the same

$\frac{10}{2}-\frac{5}{2}=b$

$\frac{5}{2}=b$

$y=-\frac{1}{2}x+\frac{5}{2}$

4.) -6x + 5y = -10 Get "y" by itself, add 6x on both sides

5y = -10 + 6x Divide 5 on both sides

$y=-2+\frac{6}{5}x$

The given line's slope is 6/5, so the perpendicular line's slope is -5/6.

$y=-\frac{5}{6}x+b$ Plug in (-2, 5)

$5 = -\frac{5}{6}(-2)+b$

$5=\frac{10}{6}+b\\ 5=\frac{5}{3}+b$ Subtract 5/3 on both sides

$5-\frac{5}{3} =b$ Make the denominators the same

$\frac{15}{3}-\frac{5}{3}=b\\\frac{10}{3} =b$

$y = -\frac{5}{6}x+\frac{10}{3}$

7.) Perpendicular line's slope is -2

y = -2x + b Plug in (1,4)

4 = -2(1) + b

4 = -2 + b

6 = b

y = -2x + 6

8.) Perpendicular line's slope is -1/4

$y = -\frac{1}{4}x+b$ Plug in (-5 , 2)

$2=-\frac{1}{4}(-5)+b$

$2 = \frac{5}{4}+b$ Subtract 5/4 on both sides

$2-\frac{5}{4}=b$ Make the denominators the same

$\frac{8}{4}-\frac{5}{4}=b$

$\frac{3}{4}=b$

$y=-\frac{1}{4}x+\frac{3}{4}$

5 0

3 years ago

In how many ways can 3 singers be selected from 5 who came to an audition?. A. 1. B. 10. C. 5. D. 60

pychu [463]

Answer:

Answer:

(5 3 ) = 10

Explanation:

This is a combination problem - we don't care about the order in which the singers are selected:

C n , k = ( n k ) = n !

( k ! ) ( n − k ) ! with n = population ,

k = picks

( 5 3 ) = 10

Step-by-step explanation:

4 0

3 years ago

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Mrs. Isabelle is making paper and plastic foam animals for her first-grade class. She is calculating the amount of wasted materi

PSYCHO15rus [73]

We are given square with side length l. The largest circle that we can cut from that square has diameter equal to that side. This circle is called inscribed circle.

When cutting circle from square paper we will be left with some extra paper. Area of that extra paper can be calculated using formula:
area_of_extra_paper = area_of_square - area_of_circle

Now we can insert formulas:
$A = l^{2} - ( \frac{l}{2} )^{2} * \pi \\ A=l^{2} - \frac{l^{2}}{4} * \pi \\ A=l^{2} (1- \frac{ \pi }{4} )$

This is area of extra paper when we cut one circle. When we cut multiple circles we have:
$A=N*l^{2} (1- \frac{ \pi }{4} )$
Where:
N = number of circles
This formula is roughly:
$A=0.785*N*l^{2}$

6 0

3 years ago