Factorise:
(p+q)^2 + 5(p+q)
Grouping:
= (p + q)² + 5(p + q)
= (p + q)(p + q) + 5(p + q)
= (p + q + 5)(p + q)
Answer: (p + q)(p + q + 5)
Hope this helps, have a BLESSED and wonderful day! As well as as a safe one! :-)
-Cutiepatutie ☺❀❤
According to trignometery
If we take AB base and AC perpendicular
Then we can apply
Cos(45) = AC / 11
0.7071 = AC/11
0.7071 × 11 = AC
AC = 7.78
2nd Option is Correct
Hope this helps :)
The principal value is $150.
We have the following values -
rate of interest - 4%
Time period = 6 months = 0.5 year
Simple interest = $36
We have to find the principal value.
<h3>What is the formula to calculate the Simple Interest for a Principal amount of $P at a rate of r% per annum for time of t years?</h3>
The simple interest can be calculated using the formula -
S.I. =
The above expression can be written in terms of principal value as -
We can use the above formula in the question given - Using the formula for principal value we get -
P =
P =
P = $1800
Hence, the principal value is $150.
To solve more questions on Simple interest, visit the link below-
brainly.com/question/24116913
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Answer:
1)
2)
3)
Step-by-step explanation:
1) Length of a ruler = r
Height of Shiela = s
According to the question ,
5 times the length of a ruler increased by 2 .
⇒
Also , 5r + 2 is less than height of Shiela.
Hence , the linear inequality is ⇒
2) Let the cost of each t-shirt be 't' & cost of each short be 's'.
⇒ Cost of dozen of t-shirts = 12t and Cost of half a dozen shorts = 6s
According to the question ,
12t & 6s is not greater than Php 960.
Hence the linear inequality is ⇒
3) Let the number of Php 100-peso tickets be 'p' and let the number of Php 50-peso tickets be 'q'.
According to the question ,
Difference of p & q is not less than 30
Hence the linear inequality is ⇒