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Oduvanchick [21]
3 years ago
9

city workers are paving a street that is 1 1/2 miles long. if they repave 1/4 mile per day, how long will it take to repave the

entire street?
Mathematics
1 answer:
Pie3 years ago
7 0
The question is to find out how many times 1/4 is equal to 1 1/2
First lets convert the total:
1 1/2 = 2/2 + 1/2 = 3/2
now we need to find out a number that multiplied by 1/4 gives 3/2, that is an equation:
(1/4)x = 3/2
and solving for x:
x = (3/2)*4
x = 12/2
x = 6
therefore they will take 6 days to repave the whole street
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Simplify the expression. Assume all variables are positive. <br> (r/32s)^8/5
balandron [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is :

(\frac{r}{32s} )^{\frac{8}{5} }

It could be written as

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{32} )^{\frac{8}{5} }

32 could be written as 2^{5}

So, replacing that in our expression

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2^{5} } )^{\frac{8}{5} }

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{5*\frac{8}{5} }

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{8}

\frac{1}{256}*(\frac{r}{s} )^{\frac{8}{5} }

This is the simplified form of given expression.  :  Answer

Hope it will help :)




6 0
3 years ago
Taven mixes 18 liters of 14% acid solution with a 35% acid solution, which results in 23% acid solution.
miv72 [106K]
(0.35x + 0.14 * 18) / y = 0.23
x + 18 = y
4 0
3 years ago
If f(x)= 3x^2 + 3x^1/2 +3x what is the value of f(-9)
Dahasolnce [82]

Answer:

216 + 9i

Step-by-step explanation:

Given: f(x) = 3x² + 3x^{1/2} + 3x

When x = -9, f(x) equals to;

3(-9)²  + 3(-9)^{1/2} + 3(-9)

243 + 3(3i) - 27

243 + 9i - 27

216 + 9i

4 0
3 years ago
Evaluate the expression 3 + m if m = 4.
Drupady [299]

Answer:

7

Step-by-step explanation:

3 + m =

3 + 4 =

7

5 0
3 years ago
What is incorrect in this? And how do I correct it?
german

\bf \begin{cases} y=3x+2\\ -3x+y=2\\ 3x-y=-2\\ ------\\ 6x-2y=10 \end{cases}\implies  \begin{cases} 3x-y=-2\\ 6x-2y=10 \end{cases}\implies  \begin{bmatrix} 3&-1&|&-2\\ 6&-2&|&10 \end{bmatrix}\\\\ -------------------------------

\bf \stackrel{\textit{system's determinant}}{ \begin{bmatrix} 3&-1\\6&-2 \end{bmatrix}\implies (3\cdot -2)-(6\cdot -1)}\implies -6-(-6)\implies -6+6\implies 0 \\\\\\ \stackrel{\textit{systerm determinant of 0 means}}{\textit{the system has \underline{no solutions } or \underline{infinitely many solutions}}}

7 0
3 years ago
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