Answer:
40 cm and 42 cm
Step-by-step explanation:
Two leg length: x and x+2
x² + (x+2)² = 58²
2x² + 4x + 4 = 3364
2x² + 4x - 3360 = 0
(x+42) (x-40) = 0
leg length is a positive number so x = 40
another leg = 42
Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles
This is a great question!
To determine the probability with which two sweets are not the same, you would have to subtract the probability with which two sweets are the same from 1. That would only be possible if she chose 2 liquorice sweets, 5 mint sweets and 3 humburgs -

As you can see, the first time you were to choose a Liquorice, there would be 12 out of the 20 sweets present. After taking that out however, there would be respectively 11 Liquorice out of 19 remaining. Apply the same concept to each of the other sweets -

____
Calculate the probability of drawing 2 of each, add them together and subtract from one to determine the probability that two sweets will not be the same type of sweet!

<u><em>Thus, the probability should be 111 / 190</em></u>
Answer:

Step-by-step explanation:
STEP 1:
2/3 + 7/10 = ?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/3, 7/10) = 30
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
*
+
= ?
Complete the multiplication and the equation becomes

The two fractions now have like denominators so you can add the numerators.
Then:

This fraction cannot be reduced.
The fraction 41/30
is the same as
41 divided by 30
Convert to a mixed number using
long division for 41 ÷ 30 = 1R11, so
41/30 = 1 11/30
Therefore:
2/3+7/10= 1 11/30
STEP 2:
41/30 + -2/3
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(41/30, -2/3) = 30
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

The two fractions now have like denominators so you can add the numerators.
Then:

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using
GCF(21,30) = 3

Therefore:
|