The total weight of cabbage is 14 1/4
<h3 /><h3>What is Equation?</h3>
An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Given:
Yasmin purchased 6 heads of cabbage that each weighed 2 and 3/8 pounds.
So,
2 and 3/8 = 19/8
1 cabbage = 19/8 pounds
6 cabbages = x pounds
1 * x = 6 * 19/8
x = 114/8
x = 14 2/8
x = 14 1/4
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The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.
<h3>What is moment of inertia?</h3>
Moment of inertia is the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.
Using the formulas to calculate the moment of inertia of a solid cylinder:
I = ½MR²
Where;
I = moment (kgm²)
M = mass of object (Kg)
R = radius of object (m)
Total moment of inertia of the two disks is expressed as: I = I(1) + I(2)
That is;
I = ½M1R1 + ½M2R2
According to the provided information;
R1 = 2.50cm = 0.025m
M1 = 0.800kg
R2 = 5.00cm = 0.05m
M2 = 1.70kg
I = (½ × 0.800 × 0.025²) + (½ × 0.05² × 1.70)
I = (½ × 0.0005) + (½ × 0.00425)
I = (0.00025) + (0.002125)
I = 0.002375
I = 2.375 × 10-³ Kgm²
Hence The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.
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Answer:
notebook: $2.5
pen: $1.5
part B, he can buy 3 pens
Step-by-step explanation:
A
let the cost of notebook be n, cost of pen be p
1. 4n + 3p = 14.5
2. 5n + 6p = 21.5
by 1, you can get 3p = 14.5 - 4n, put it into 2
5n + 2(14.5 - 4n) = 21.5
5n + 29 - 8n = 21.5
3n = 29 - 21.5 = 7.5
n = 2.5
put n = 2.5 into 1
4(2.5) + 3p = 14.5
3p = 4.5
p = 1.5
B
Waseem buy 3 notebooks for each pen, let number of pen be m, then the number of notebook will be 3m
m(2.5) + 3m(1.5) < 27
2.5m + 4.5m = 7m < 27
m < 27/7
maximum integer value for m = 3
Answer:
Step-by-step explanation:
Eliminate answer 4 immediately, because (4)(3) is not 7.
Look at answer 2: 7x + 3x = 10x, which does not match the middle term 12x in the original polynomial. Eliminate answer 2.
Look at answer 1: 1x + 21x = 22x, which does not match the middle term of the original polynomial. Eliminate answer 1.
All quadratics have solutions. Let's apply the quadratic formula to 3x^2 + 12x + 7: Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is
12²-4(3)(7), or 144 - 84, or 60. Being positive, this tells us that the given poly has two real, unequal roots:
-12 ± √60 -12 + 2√15 -12 - 2√15
x = ----------------- = ------------------- and x = --------------------
3 3 3
Normally, if c is a root, then x - c is a factor.
If we try this here, however, the resulting factors do not at all match any of your answer choices.
Don't be offended...but please ensure you have copied this problem down correctly.
Try this solution:
1. m∠A=m∠L; m∠B=m∠M and m∠C=m∠N;
2. m∠B=m∠M=35° and m∠C=m∠N=95°;
3. m∠A=m∠L=180°-(m∠B+m∠C)=180-35-95=50°
answer: 50°
