We are going to define two equations where b means bagels and m will be muffins, First equation: 10*b + 4*m = 13 Second equation: 5*b + 8*m = 14 From the second equation, we can isolate b: b = (14 - 8*m)/5 In the second equation 10*(14 - 8*m)/5 + 4*m = 13 2*(14 - 8*m) + 4*m = 13 28 - 16*m + 4*m = 13 28 -13 = 16*m - 4*m 15 = 12*m m = 15/12 = 1.25 Then b = (14 - 8*m)/5 = (14 - 8*1.25)/5 = 4/5 = 0.8 So one bagel costs $0.8 and one muffin $1.25
Answer:
In the next 31 years
Step-by-step explanation:
In this question, we are tasked with calculating the number of years it will take for a school’s population to reach a certain amount of it is increasing at a certain rate.
We can use a mathematical exponential approach to solve this.
Let’s say;
P = I( 1 + r)^t
where P is the projected population at 926
I is the initial population at 502
r is the percentage change or rate at 2% which is same as 2/100 = 0.02
and t is time
Plugging these values, we have
926 = 502(1 + 0.02)^t
Divide through by 502
1.845 = 1.02^t
take the logarithm of both sides
log 1.845 = tlog 1.02
t = log 1.845/log 1.02
t = 30.9 = 31 years
To find our solution, we first write the equation in the following form:

In this formula a represents the slope, therefore:

Because the line passes through the point P(5, -7), we can fill in the coordinates of this point in the formula and we get the following:


Now, add up 1 to both sides and we get

So the formula will be:

Bringing x to the other sides gives us:

Finally we multiply by 5 to get our standard form (and therefore our final answer):

Hence, the answer is D.
Answer:
Step-by-step explanation:
a) +200
b) - 200
c) -500m {well is below sea level.For bellow sea level use - sign}
d) + 5000m
6) a) 12 - 3x
b) (x +10)/7
c) -5y + 16
d) 2m - 11
The tension in the cable is given by the newton's first law will be 163.622 N.
<h3>What is newton's first law?</h3>
The summation of the force is equal to zero.
The formula is given as
ΣF = 0
Where m is the mass of the body and a is the acceleration.
A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam.
Then the tension in the cable will be
Let T be the tension in the cable.
T sin 29° + T sin 53° – 210 = 0
On simplifying, we have
T (sin 29° + sin 53°) = 210
T = 163.622 N
More about the newton's first law link is given below.
brainly.com/question/974124
#SPJ1