You’re not giving 30 points, you’re only giving 5
b + p = 14 and 0.80 b + 2 p = 20.80 are the system of equations.
Step-by-step explanation:
Step 1 :
Let b be the number of bananas
Let p be the number of peaches
Given that the total of bananas and peaches that Emily bought = 14
Hence we have,
b + p = 14
Step 2 :
Cost of one banana = $0.80
Cost of one peach = $2
Cost of all the bananas and peaches Emily bought = $20.80
So sum of b bananas costing $0.80 and sum of p peaches costing $2 each is $20.80
Hence we have
0.80 b +2 p = 20.80
Solving for the above 2 equations we can get the value for b and p which will give the number of bananas and peaches bought
Step 3 :
Answer :
The system of equations that could be used to find the number of the bananas and the number of the peaches that Emily bought is given by
b + p = 14
0.80 b +2 p = 20.80
If her original salary is x, then her new salary is 103% of x.
To obtain x from 43989, you therefore divide 43989 by 1.03 to get:
42708 (to nearest dollar).
You can the check it by multiplying by 1.03.
Answer:
the length and width . Round to the nearest tenth are 8.8 inches and 3.8 inches respectively.
Step-by-step explanation:
The area A of a rectangle is the product of the length L and width W. This may be expressed mathematically as
A = L * W
As such, given that the length is 5 inches more than the width,
L = W + 5
33 = W(W + 5)
W² + 5W - 33 = 0
Using the formula method which states that
s = -b±√(b²-4ac)/2a
W = -5 ± √5² - 4(1)(-33)/2
= -5 ± 12.53/2
= 7.53/2 (since length cannot be negative)
= 3.755 inches
L = 3.755 + 5
= 8.755 inches
Circumference of a circle - derivation
This page describes how to derive the formula for the circumference of a circle.
Recall that the definition of pi (π) is the circumference c of any circle divided by its diameter d. Put as an equation, pi is defined as
π
=
c
d
Rearranging this to solve for c we get
c
=
π
d
The diameter of a circle is twice its radius, so substituting 2r for d
c
=
2
π
r
If you know the area
Recall that the area of a circle is given by
area
=
π
r
2
Solving this for r
r
2
=
a
π
So
r
=
√
a
π
The circumference c of a circle is
c
=
2
π
r
