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3 years ago

Aiden walked 2/3 of a mile in 1/5 of an hour. What is his rate in miles per hour?

1 answer:

5 0

To get a full hour we need to multiply the quantity (1/5) by 5 because this = 1. Now you would have to also multiply the (2/3) by 5.
10/3 miles or 3 and 1/3 miles

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O graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line repre

JulijaS [17]

2x + 5y = 10
Change to y = mx + b
subtract 2x from both sides
5y = -2x + 10
divide both sides by 5
y = -2/5x + 2
slope = -2/5
LETTER B

6 0

4 years ago

Read 2 more answers

Ms. Romero asks the student to genefractionrate an equivalent fraction. for 6/10.Gwen says 3/5 is an equivalent fraction while d

Phoenix [80]

Gwen is right 3\5 is equivalent to 6\10
if you divide 6\10 by 2 you will get 3\5

7 0

3 years ago

PLEASE HELP ASAP -- WITH THE WORKK<br><br>50 points

MAXImum [283]

Part-A:-

$\\ \sf\longmapsto x^2+3x-70(4x-12)$

$\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840$

$\\ \sf\longmapsto -8x^2+48x+560$

Now

$\\ \sf\longmapsto (f.g)(3)$

$\\ \sf\longmapsto -8(3)^2+48(3)+560$

$\\ \sf\longmapsto -72+144+560$

$\\ \sf\longmapsto 72+560$

$\\ \sf\longmapsto 632$

Part-B:-

$\\ \sf\longmapsto f(3)$

$\\ \sf\longmapsto (3)^2+3(3)-70$

$\\ \sf\longmapsto 9+9-70$

$\\ \sf\longmapsto 18-70$

$\\ \sf\longmapsto -52$

Now

$\\ \sf\longmapsto g(f(3))$

$\\ \sf\longmapsto g(-52)$

$\\ \sf\longmapsto 4(-52-3)$

$\\ \sf\longmapsto 4(-55)$

$\\ \sf\longmapsto -220$

Part:-C

$\\ \sf\longmapsto g(-2)$

$\\ \sf\longmapsto 4(-2-3)$

$\\ \sf\longmapsto 4(-5)$

$\\ \sf\longmapsto -20$

Now

$\\ \sf\longmapsto f(g(-2))$

$\\ \sf\longmapsto f(-20)$

$\\ \sf\longmapsto (-20)^2+3(-20)-70$

$\\ \sf\longmapsto 400-60-70$

$\\ \sf\longmapsto 400-130$

$\\ \sf\longmapsto 270$

Part-D:-

g×f=f×g

$\\ \sf\longmapsto (g.f)(-2)$

$\\ \sf\longmapsto -8(-2)^2+48(-2)+560$

$\\ \sf\longmapsto 32-96+560$

$\\ \sf\longmapsto -64+560$

$\\ \sf\longmapsto 496$

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3 years ago

Find the 8th term of the geometric sequence 3, 12, 48,...

Sophie [7]

$\begin{gathered} \text{The first term is 3, the common ratio is 4} \\ \text{That means;} \\ a=3,r=4 \\ \text{The nth term is } \\ T_n=ar^{(n-1)} \\ 8th=3\times4^{(8-1)} \\ 8th=3\times4^7 \\ 8th=3\times16384 \\ 8th=49152 \end{gathered}$

4 0

1 year ago

How many ways can six friends be arranged around a circular dinner table?

Mice21 [21]

A question such as this one is a little tricky since the people seated are not in a straight line.

For a circular table seating question, (n-1)! formula is used. Without restrictions 5! people can be seated.

You might be wondering why it is not 6!, this is because the first person will the the 6 person so you are accounting for the same person twice.

Hope I helped :)

6 0

3 years ago