Answer:
29 and 20 are such integers.
Step-by-step explanation:
Let one of the two integers = m
let other integer = n
Now, since sum of two integers = 49
⇒ m + n = 49 ............ (1)
The difference of two integers = 9
⇒ m - n = 9 ................ (2)
Solving both the equations:
Add equations (1) and (2) , we get
2 m = 58
or, m = 58 / 2 = 29
or, m = 29
So, one of the integers = m = 29
Now, the other integer is n = 49 - m = 49 - 29 = 20
or, n = 29
Hence, 20 and 29 are such integers.
Answer:
<h3>7</h3>
Step-by-step explanation:
Mean number = Sum of all the numbers/ Total number of old boys
Given the data
2, 4, 6, 12, 8, 10
Sum = 2+4+6+12+8+10
Sum = 42
Total number of old boys = 6
Substitute into the formula
Mean number of aggressive acts = 42/6
Mean number of aggressive acts = 7
<em>Hence the mean number of aggressive acts for this group of children is 7</em>
This sequence is a geometric sequence so u want to find out the formula
The formula for a geometric sequence is: ar to the power of n-1
A= first term and r= the factor between the terms (called the common ratio)
Now we juss input it in the formula
10 x 2 to the power of n-1
Now we want to work out the 25th term so n=25 we do 25-1=24
So it’s 10*2 to the power of 24
Answer: 167772160
Hope this helped
Step-by-step explanation:
Since the 2 side lines are parallel,

(Note that you can further simplify the equation if you wish to, this is a general equation.)
(Equation formed due to Corresponding angles and Sum of angles on the same straight line)
Profit percentage for weaver after selling mat is equals to 140%.
<h3>What is percentage ?</h3>
" Percentage is defined as the hundredth part of the whole given quantity. It is represented by symbol %."
Formula used
Profit% =
× 100
According to the question,
Given,
Cost price of bundle of grass = $50.00
Number of mats made = 8
Selling price of each mat = $15.00
Therefore,
Selling price of 8 mats = 15 × 8
= $120
Selling price > Cost price
Therefore,
Profit = Selling price - Cost price
= 120 - 50
= $70
Substitute the value in the formula to get profit percentage we get,
Profit% =
×100
= 140%
Hence, profit percentage for weaver after selling mat is equals to 140%.
Learn more about percentage here
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