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yulyashka [42]
3 years ago
10

A letter to europe from the united states costs $0.80 to mail. a letter mailed within the united states cost $0.37. nancy mails

5 letters for $2.71, some to europe and some to the united states. how many letters did she send to europe?
Mathematics
1 answer:
densk [106]3 years ago
5 0
She only sen 2 to Europe.
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Nicholas wrote the steps below to simplify the fraction 20/30. Find his error and correct it. 20/30= 20÷5=4 30÷6=5
aksik [14]

Answer:2/3

Step-by-step explanation:

7 0
3 years ago
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Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros.
kifflom [539]
The given statement is:
An integer is divisible by 100 if and only if its last two digits are zeros

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have last two digits zeros. 

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, the option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true
6 0
3 years ago
What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
3 years ago
What percentage of 23 is 924
monitta
Well, the answer to the question in your picture is $1200.

If x is the original price, and we took 23%, or 0.23 from that, we are left with 77%, or 0.77 of the full price.

So 0.77x = 924
x = 924/0.77
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1200 - 0.23(1200) = 924

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8 0
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Turn 5/7 into its smallest form
DiKsa [7]

Answer:

5/7

Step-by-step explanation:

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