Answer:
Step-by-step explanation:
Given : Marsha has budgeted no more than $3,000 on centerpieces for the tables
x denotes the number of Guest Tables Lily Arrangements
y denotes the number of Family Table Rose Arrangements
To Find: Which inequality represents all possible combinations of x, and y, that Marsha can buy for no more than $3,000?
Solution :
Since there are x number of Guest Tables Lily Arrangements.
And there are y number of Family Table Rose Arrangements
Since she cannot spend more than 3000 on centerpieces .
So, the inequality becomes:
Hence inequality represents all possible combinations of x and y that Marsha can buy for no more than $3,000:
Answer:
The estimate for the proportion of Americans over 33 who smoke is 0.28.
Step-by-step explanation:
Proportion of Americans over 33 who smoke.
Number who smoke divided by the size of the sample.
In this question:
Sample of 1267.
913 don't smoke, so 1267 - 913 = 354 smoke. Then
The estimate for the proportion of Americans over 33 who smoke is 0.28.
No, his bpm is too high, the average heart will go about 217-227.5 in a span of 3 1/2 min, and his is about 15.75 to high, (his bpm is 68 while it should be 62-65)
Given the expression,
We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.
![[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B%28%5Csqrt%7B14x-2%7D%29%28%5Csqrt%7B14x-2%7D%29%5D%20)
If we have 
, we will get 
by multiplying them. And 
.
So here in the problem, we will get,
![[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%2814x-2%29%20)
Now in the numerator we have 
. We can check 8x is common there. we will take out -8x from it, we will get,
And in the denominator we have 
. We can check 2 is common there. If we take out 2 from it we will get,
So we can write the expression as
![[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]](https://tex.z-dn.net/?f=%20%5B%28-8x%29%287x-1%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B2%287x-1%29%5D%20)
is common to the numerator and denominator both, if we cancel it we will get,
We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,
So we have got the required answer here.
The correct option is the last one.
It is 2,56 i think but i dont completely know thoe
