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Ostrovityanka [42]
3 years ago
6

Eggs were $2.05 per dozen on January 1st and $2.00 per dozen February 1st what percent did the price decrease during January?

Mathematics
2 answers:
Sholpan [36]3 years ago
8 0
This is a 2.5% decrease in price.
Murrr4er [49]3 years ago
7 0
For this case we can make the following rule of three:
 2.05 $ -----> 100%
 2.00 $ -----> x
 Clearing x we have:
 x = (2.00 / 2.05) * (100)
 x = 97.5
 Then, the percentage that decreases is:
 100-97.5 = 2.5%
 Answer:
 
the price did decrease 2.5% during January
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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

7 0
4 years ago
What decimal is equivalent to 4/5 + 0.05
UNO [17]
To answer this we will add, but before we add we will change 4/5 in to a decimal. to change ANY fraction into a decimal we have to divide the numerator by the denominator. lets do it:- 

4/5 
4 ÷ 5 = 0.8

Now lets substitute 0.8 for 4/5 and then add.

4/5 + 0.05
0.8 + 0.05 = 0.85

CHECK OUR WORK:-

0.85 - 0.8 = 0.05
We were RIGHT!!

So, the decimal 0.85 is equivalent to 4/5 + 0.05.

Hope I helped ya!! xD 
3 0
3 years ago
You buy 3 books that each cost the same amount and a magazine all for 55.99. You know that the magazine costs 1.99. How much doe
kenny6666 [7]
Each of the three books costs $18
7 0
4 years ago
The ratio of boys to girls in a school chorus is 6:3. If 1/2 of the boys and 1/3 of the girls wore hats in the performance, what
Nikitich [7]
6:3 boys to girls.
say for the sake of it, there are 60 boys and 30 girls.that makes 90 children.if 1/2 of the boys wore hats, then 30 boys wore hatsif 1/3 of the girls wore hats, then 10 girls wore hatsif 30 boys and 10 girls wore hats, then 40 children wore hatsif 40 children wore hats, then 40/90 children wore hats40/90 can be simplified to 4/94/9 children wore hats

5 0
4 years ago
Joan and her brother Justin left a hotel at the same time, driving in opposite directions at constant rates. After traveling for
inessss [21]

Answer:

Joan drive with a speed of 55 miles per hour.

Step-by-step explanation:

Given:- Travelling time (t) = 4 hours.

Travelled distance (d) = 480 miles.

Speed of Justin is 10 miles per hour faster than Joan.

To find:- Speed of Joan = ?

Solution:-

Let speed of Joan be x,

therefore speed of Justin = x+10          ---------------(from given)

Now, Total speed of Joan and Justin = x+x+10

Total speed of Joan and Justin = 2x+10 ------------(1)

Now formula for speed is,

Speed = \frac{distance}{time}

2x+10=\frac{480}{4}                        -------------(from 1 and given)

2x+10=120

2x=120-10

2x=110

\therefore x=\frac{110}{2}

\therefore x= 55

as x is the speed of Joan,

Therefore Joan drive with a speed of 55 miles per hour.

6 0
3 years ago
Read 2 more answers
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