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Likurg_2 [28]
3 years ago
8

3. Peri earned $27 for walking her neighbor's dog 3 times. If pe the same rate and earned $36, how many times did she wall neigh

bor's dog? Use a unit rate to find the unknown value. 27 36 3 time​
Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answer:

She walked neighbor's dog 4 times.

Step-by-step explanation:

It is given that:

Peri earned $27 for walking the dogs 3 times.

Unit rate = \frac{27}{3}

Unit rate = $9 per dog

Now,

Peri worked at the same rate and earned $36.

Unit rate = \frac{Total\ earning}{Dogs\ walked}

9 = \frac{36}{d}

d= 36/9

d = 4

Therefore,

She walked neighbor's dog 4 times.

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An item on sale costs 60% of the original price. If the original price was $30, what is the sale price?
jolli1 [7]

Answer: $18

Step-by-step explanation:

60% of original cost means 40% is taken off

40% = 0.4

30 x 0.4 = 12 so that is how much will be taken off

30-12= 18

$18

8 0
3 years ago
How would I solve 16x^4-41x^2+25=0 ???
sveticcg [70]
16{ x }^{ 4 }-41{ x }^{ 2 }+25=0

{ x }^{ 4 }={ ({ x }^{ 2 }) }^{ 2 }\\ \\ 16{ ({ x }^{ 2 }) }^{ 2 }-41{ x }^{ 2 }+25=0



First of all to make our equation simpler, we'll equal x^{2} to a variable like 'a'.

So,

{ x }^{ 2 }=a

Now let's plug x^{2} 's value (a) into the equation.

16{ ({ x }^{ 2 }) }^{ 2 }-41{ x }^{ 2 }+25=0\\ \\ { x }^{ 2 }=a\\ \\ 16{ (a) }^{ 2 }-41{ a }+25=0

Now we turned our equation into a quadratic equation.

(The variable 'a' will have a solution set of two solutions, but 'x' , which is the variable of our first equation will have a solution set of four solutions since it is a quartic equation (<span>fourth-degree <span>equation) )

Let's solve for a.

The formula used to solve quadratic equations ;

\frac { -b\pm \sqrt { { b }^{ 2 }-4\cdot t\cdot c }  }{ 2\cdot t }

The formula is used in an equation formed like this :
</span></span>
t{ x }^{ 2 }+bx+c=0

In our equation,

t=16 , b=-41 and c=25

Let's plug the values in the formula to solve.

t=16\quad b=-41\quad c=25\\ \\ \frac { -(-41)\pm \sqrt { -(41)^{ 2 }-4\cdot 16\cdot 25 }  }{ 2\cdot 16 } \\ \\ \frac { 41\pm \sqrt { 1681-1600 }  }{ 32 } \\ \\ \frac { 41\pm \sqrt { 81 }  }{ 32 } \\ \\ \frac { 41\pm 9 }{ 32 }

So the solution set :

\frac { 41+9 }{ 32 } =\frac { 50 }{ 32 } \\ \\ \frac { 41-9 }{ 32 } =\frac { 32 }{ 32 } =1\\ \\ a\quad =\quad \left\{ \frac { 50 }{ 32 } ,\quad 1 \right\}

We found a's value.

Remember,

{ x }^{ 2 }=a

So after we found a's solution set, that means.

{ x }^{ 2 }=\frac { 50 }{ 32 }

and

{ x }^{ 2 }=1

We'll also solve this equations to find x's solution set :)

{ x }^{ 2 }=\frac { 50 }{ 32 } \\ \\ \frac { 50 }{ 32 } =\frac { 25 }{ 16 } \\ \\ { x }^{ 2 }=\frac { 25 }{ 16 } \\ \\ \sqrt { { x }^{ 2 } } =\sqrt { \frac { 25 }{ 16 }  } \\ \\ x=\quad \pm \frac { 5 }{ 4 }

{ x }^{ 2 }=1\\ \\ \sqrt { { x }^{ 2 } } =\sqrt { 1 } \\ \\ x=\quad \pm 1

So the values x has are :

\frac { 5 }{ 4 } , -\frac { 5 }{ 4 } , 1 and -1

Solution set :

x=\quad \left\{ \frac { 5 }{ 4 } \quad ,\quad -\frac { 5 }{ 4 } \quad ,\quad 1\quad ,\quad -1 \right\}

I hope this was clear enough. If not please ask :)



3 0
3 years ago
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Find the length of the side labeled (45)
Karolina [17]

Answer:

Step-by-step explanation:

x = 6

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3 years ago
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In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the
zepelin [54]
If you mean 3(-x+1)+5:

There is a vertical stretch by a factor of 3. There is a reflection over the y axis. The graph moves left one unit and up by 5 units.

Hope this helps, and I provide an image in case it helps!

3 0
3 years ago
Which graph represents the function f(x) equals x(x +2)
joja [24]

Answer:

Step-by-step explanation:

Okay!

A graph representing the function :

f(x)=x(x+2)

I will describe the graph for you!

the points on this graph are : (-3,3),(-2,0),(-1,-1),(0,0),(1,3)

the graph also creates a U shape!

7 0
3 years ago
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