Area of rectangle= base x height
6x4=24
Area of triangle= 0.5 base x height
We have the height but we don’t have the base, to calculate the base we subtract 10-6 which equals to 4
0.5 x 4 x4 =8
Area of a semicircle= o.5 x pi x r^2
We have the diameter and to find the radius we divide it by 2
4/2 = 2
0.5 x pi(or 3.14) x 2^2
=6.28
Total area = 24 + 8+ 6.28 =38.28cm^2
Answer: 28-6x
This is the same as -6x+28
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To get that answer, you multiply each term inside the parenthesis by the outer term 2
14 * 2 = 28
-3x * 2 = -6x
So,
(14-3x)*2 = 14*2 - 3x*2 = 28-6x
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The distribution rule says
a(b-c) = ab-ac
which is the same as saying
(b-c)a = ba-ca
We can flip things around because we can multiply in any order.
Answer:
(n-2) • (4n+3)
Step-by-step explanation:
4n2-5n-6
Final result :
(n - 2) • (4n + 3)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22n2 - 5n) - 6
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 4n2-5n-6
The first term is, 4n2 its coefficient is 4 .
The middle term is, -5n its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
4n2 - 8n + 3n - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
4n • (n-2)
Add up the last 2 terms, pulling out common factors :
3 • (n-2)
Step-5 : Add up the four terms of step 4 :
(4n+3) • (n-2)
Which is the desired factorization
Final result :
(n - 2) • (4n + 3)
Answer:
$1.6
Step-by-step explanation:
The price of $2.32 already includes the 45% mark up hence taking the original cost to be x, it means the cost of $2.32 is 145% of the original cost
Using the concept of cross multiplication we say that if
1.45 is equivalent to $2.32
1 is equivalent to x
Therefore, the company incurs $1.6 for each plug
Answer:
Step-by-step explanation:
Let x be the number of weeks that it will take Andy to reach his goal.
We have been given that Andy currently runs a total of 12 miles per week. He plans to increase that number by 1.5 miles, so number of miles increased in x weeks will be 1.5x and total number of miles ran in x weeks will be 1.5x+12.
Since Andy wants to reach a total of 26 miles per week, so we will equate the total number of miles ran in x weeks with 26.
Therefore, the equation can be used to determine x, the number of weeks that it will take Andy to reach his goal.
