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jeka94
3 years ago
13

Marneshia walked three over eight of a mile in three over five of an hour. What equation can be used to calculate her unit rate

in miles per hour?
Mathematics
1 answer:
Rama09 [41]3 years ago
7 0
3/8 mile in 3/5 hour
\frac{ \frac{3}{8} }{ \frac{3}{5} }
we want to find miles per hour or m/1h
convert 3/5 to 1 by multiplying it by 5/3
keep the fraction the same by multiply ing the whole thing by
\frac{ \frac{5}{3} }{ \frac{5}{3} } to get

\frac{ \frac{15}{24} }{ \frac{15}{15} }=
\frac{ \frac{5}{8} }{ 1}=5/8 miles per hour


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A toy rocket is launched from a platform 24ft above the ground. The
jok3333 [9.3K]

Answer:

4 sec

Step-by-step explanation:

let y = 0 which is the height when the rocket hits the ground

-3t^2 + 6t + 24 = 0

-3(t^2 - 2t - 8) = 0

-3(t - 4)(t + 2) = 0

t = 4  or t = -2

time cannot be negative, so t = 4 sec

8 0
3 years ago
What equation results from completing the squre and then factoring x^2+10=15
nlexa [21]

For this case we must complete squares:

x ^ 2 + 10x = 15

We add the square of half the coefficient of the term "x",

(\frac {b} {2a}) ^ 2 on both sides of the equation:

x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15

According to the perfect square trinomial we have:

(a + b) ^ 2 = a ^2 + 2ab + b ^ 2

Rewriting the expression we have:

a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40

ANswer:

(x + 5) ^ 2 = 40

6 0
3 years ago
GIVING AWAY 10 POINTS!!!!!! What is the solution to the system of equations? x = y + 4
slega [8]

Answer:

x= -6, y= 10

Step-by-step explanation:

x= y + 4

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If we replace "x" with "y+4" in the second equation we get:

2(y+4) = 3y - 2

2y + 8 = 3y - 2

2y - 3y = -2-8

-y = -10

y = 10

Now we can go back to the first equation and solve for x:

x = y + 4

x = 10 + 4 = 14

8 0
3 years ago
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many face
nadezda [96]

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Hope this can help you.

4 0
3 years ago
Gunther invested $10,000 in two mutual funds. One of the funds rose 6% in one year and the other rose 9% in one year. If his inv
mote1985 [20]

Answer:

$7200 in the fund rose 6% n $2800 in the fund rose 9%

Step-by-step explanation:

let x be the amount in the fund rose 6%

gain in one year=x*6%=0.06x

total amount is 10000

so amount in the fund rose 9% = 10000-x

gain in one year=(10000-x)*9%=900-0.09x

total gain=0.06x+900-0.09x=900-0.03x

=684

900-684=0.03x

0.03x=216

x=7200

the other fund amount=10000-7200=2800


5 0
3 years ago
Read 2 more answers
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