Answer:
No, because their respective prices are $0.75 and $2.25
Step-by-step explanation:
Let's assume that the price of each pretzel is x and the price of each soda is y
3x + 4y = 11.25_____ equation 1
5x + 2y = 8.25_____ equation 2
Multiply equation 2 by the figure 2 so as to have both equation sharing the same coefficient of y
10x + 4y = 16.5____ equation 1
3x + 4y = 11.25____ equation 2
Now subtract equation 2 from 1
7x = 5.25
X = 5.25/7
X = 0.75
Now substitute x = 0.75 in equation 1
10x + 4y = 16.5
10(0.75) + 4y = 16.5
7.5 + 4y = 16.5
4y = 16.5 - 7.5
4y = 9
Y = 2.25
Therefore,the cost of each pretzel is $0.75 while that of soda is $2.25
Answer: The correct option is (B) 3.
Step-by-step explanation: We are given a circle X with radius 5 units and chord AB with length 8 units.
We are to find the length of segment XC that bisects chord.
We know that the line segment drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord.
So, in the given circle X, the segment XC is perpendicular to chord AB. Then, triangle XCB will be a right angled triangle with hypotenuse XB.
Since XC bisects AB, so the length of BC will be

And, radius, XB = 5 units.
Using Pythagoras theorem in triangle XCB, we have

Thus, the length of the segment XC is 3 units.
Option (B) is CORRECT.
Answer:
80g
Step-by-step explanation:
Here's why:
SO you have 2:3 ratio which means the ratio for grams of butter/grams of flour has to be 2:3.
So we set up the following equation:
2/3 = 640/x (solve for x)
x= 960g
960g is what you should have to get to ratio, but the question is asking how much more you need from the initial given flour.
So you need (suppose x is the grams of flour you need)
x+880g = 960g (solve for x)
x=80g
For an investment with an interest rate compounded continuously, the formula would be
F = Pe^(rn), where r is the annual interest rate and n is the number of years.
F = 1050e^(0.055*5)
F = $1382.36
I hope I was able to answer your question.