When are the expressions 5(p + 4) and 5p + 20 equivalent?
Answers
Answer:
yes they are equal
Step-by-step explanation:
5(p+4) when it is distributed it equals 5p+20 which equals to 5p+20
Final answer:
The expressions 5(p + 4) and 5p + 20 are equivalent at all times due to the distributive property of multiplication over addition in mathematics. These two expressions are the same, and their equivalence doesn't depend on the value of 'p'.
Explanation:
The expressions 5(p + 4) and 5p + 20 are equivalent at all times. This is due to the distributive property of multiplication over addition in mathematics.
This means that when you have an expression like 5(p + 4), you multiply each quantity inside the parentheses by the number outside, which gives you 5p + 20.
So these two expressions are actually the same and are equivalent no matter what the value of p is.
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Answers
The required reflection of the point (0, -8) on the line y = -x is (8, 0).
To determine the image of (0, -8) after a reflection over the line y = -x.
What is the equation?
the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
For the image of the point of the line y = -x
The reflection of point (0, - 8) is given as by swaping the value and change the sign, So the image of the point is (8, 0).
Thus, the required reflection of the point (0, -8) on the line y = -x is (8, 0).
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Answer:
(8,0)
Step-by-step explanation:
could be negative 8 but it said positive 8
positive works
Answers
Answer: 15 miles
Step-by-step explanation:
So, Molly runs 3 miles and theres 3 days. Monday, Wednesday, and Friday. 3 x 3 is 9 and on Friday she runs twice the amount. So 3x2 is 6 and 9+6 is 15.
and intersect
AD
at point M. Find the area of ΔBDM. What is the area of ABCD?
Answers
The diagram is attached below
The midpoint of AC is E. The ΔMAE is congruent to ΔBCE, and the sides MA = BC = 5 cm. Also MD = 17 -5 = 12 cm
From the figure we can see that the height of the trapezoid is 8cm
The height of trapezoid is the difference between the x axis and the BC that is 8cm
The triangle BDM has base 12 cm and height 8 cm.
Area of triangle =
A = = 48 cm²
2. The area of trapezoid ABCD formula is
A =
base 1= 17cm , base2= 5cm , height = 8cm
A =
A = 88 cm²
brainly.com/question/9635743
the sole proprietor is not liable under any circumstance
the sole proprietor is covered by a Small Business Administration insurance policy
the sole proprietor is liable only for a small fraction of any damages
Answers
Answer:
the sole proprietor is personally liable for damages the injured woman is awarded by the courts.
Step-by-step explanation:
Final answer:
In a sole proprietorship, the owner is personally liable for any damages awarded by the court in the event of a lawsuit. They are not typically covered by small business insurance, and their liability is not limited.
Explanation:
Based on the question, the owner in a sole proprietorship is personally liable for any damages that are awarded by the court. This means that if a customer slipped and fell in her store and sued the owner, the sole proprietor- the business owner, would be held responsible for paying any damages. The liability of the sole proprietor emanates from the fact that in this type of business entity, there is no legal distinction between the owner and the business. This means all the debts and liabilities of the business are considered to be those of the owner. Thus, under normal circumstances, a sole proprietor is not covered by a Small Business Administration insurance policy, and their liability is not limited to a small fraction of the damages.
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Answers
Using fractions, 0.45 can be written as +
. Using decimals, 0.45 can be written in the form as 0.30 + 0.15.
What is Decimal Numbers?
Decimal number system is applicable for both integers as well as non integers. Decimal number include a whole number part and a decimal part separated using decimal point.
Fractions are the numbers which are part of a whole.
All decimal numbers can be written as fractions and fractions can be written in the form of decimal numbers.
The given number is 0.45.
0.45 can be written as .
can be expanded in various ways like (40 + 5)/100, (42 + 3)/100 and so on.
can be written in one of the form as
+
.
When simplified, simplified to
and
simplified to
.
So 0.45 = +
.
Now, in the decimal form, = 0.3 and
= 0.15
So, 0.45 = 0.3 + 0.15
Hence 0.45 can be expanded in the fractional form as +
and in the decimal form as 0.3 + 0.15.
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Answer:
0.4 + 0.05= 0.45
FRACTION FORM:
4/10+ 5/100= 0.45
Step-by-step explanation:
Hope this helps!! Tell me if I'm wrong! :)
painting for 20 minutes, took a shower
for 8 minutes, and read a book for 10
minutes. How many more minutes are
left before Kayla's bedtime?
Answers
Answer:
2 minutes are left
Step-by-step explanation:
1. Start with 40
2. Subtract 20 from 40 (40-20) to get 20 minutes.
3. Then take 8 minutes from 20 (20-8) to get 12 minutes
4. Lastly, take 10 minutes away from 12 (12-10) to get 2 minutes left.
5. This leaves Kayla with 2 minutes before bedtime.