Make the fractions into improper fractions
4 5/7= 33/7 - Multiply the denominator with the whole number. 4*7=28, add 28 with the numerator. 28+5=33 .
6 3/7=45/7 - Multiply the denominator with the whole number. 6*7=42 , add 42 with the numerator. 42+3=45
33/7*45/7
Multiply the numerators together. Multiply the denominators together.
33*45=1485 ( numerators) , 7*7=49 ( denominators)
=1485/49 or in mixed number: 30 15/49
Answer: 1485/49 , 30 15/49
The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m
<h3>Circumference of a circle</h3>
The formula for calculating the circumference of a circle is given as:
C = 2pi r
r is the radius of the circle
a) r = 80/2 = 40cm
C = 2(3.14)(40)
C = 251.20 cm
Hence the unicycle moves a distance of 251.20cm if the wheel turn once
b) Number of revolution * 2pi r = distance covered
n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314
n =32
Hence the wheel must rotate 32 times to cover a distance of 100m
Learn more on circumference here: brainly.com/question/23986334
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Answer:
y = -2x^2(x - 3)
Step-by-step explanation:
<em><u>Preliminary Remark</u></em>
If a cubic is tangent to the x axis at 0,0
Then the equation must be related to y = a*x^2(x - h)
<em><u>(3,0)</u></em>
If the cubic goes through the point (3,0), then the equation will become
0 = a*3^2(3 - h)
0 = 9a (3 - h)
0 = 27a - 9ah
from which h = 3
<em><u>From the second point, we get</u></em>
4 = ax^2(x - 3)
4 = a(1)^2(1 - 3)
4 = a(-2)
a = 4 / - 2
a = -2
<em><u>Answer</u></em>
y = -2x^2(x - 3)
Answer:
In mathematics, a percentage (from Latin per centum "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", or the abbreviations "pct.", "pct"; sometimes the abbreviation "pc" is also used. A percentage is a dimensionless number (pure number).
Step-by-step explanation:
First, the factor pairs for 18 are:
1, 18
2, 9
3, 6
Since the middle term is -3, the two factors must be 3 apart. The only pair that is 3 values apart is 3, 6.
Since the middle value is negative, the larger number is negative. This means that the 6 is negative.
z = -6
z = 3
Set each equal to 0;
z = -6
z + 6 = 0
z = 3
z - 3 =0
So your factors are (z+6) and (z-3), or answer B.
