The mathematical expression to represent the number of colored pencils each person received is [tex]\frac{P}{4}[/tex], where P represents the total number of pencils.
The question asks us to write an expression to represent the number of colored pencils each person received when Helen divided her pencils evenly among herself and three friends. To do so, we should first denote the total number of colored pencils Helen has as P. Since there are four people in total (Helen and her three friends), we need to divide the total number of pencils by four.
The expression to represent the number of colored pencils each person received is thus [tex]\frac{P}{4}[/tex]. This formula can be used to calculate how many pencils each person would get if you replace P with the actual number of pencils.
The area of a rectangular barnyard is given by the trinomial 6x2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring. (1 point)
Answer:
c 2x+5 and 3x-4
Step-by-step explanation:
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it. Always Sometimes Never
The ratio of the areas of two similar polygons can be found by squaring the ratio of their perimeters or corresponding linear dimensions, but this method only works sometimes, specifically with similar polygons, and not with non-similar ones.
The ratio of the areas of two similar polygons is indeed found by taking the ratio of their corresponding linear dimensions and squaring it. This is because the area is a two-dimensional measurement, whereas perimeter and linear dimensions are one-dimensional. For similar polygons, which are polygons that have the same shape but may have different sizes, any linear dimensions (such as sides, perimeters, diagonals) are proportional.
When you have two similar polygons and you know the ratio of their perimeters, you can use this perimeter ratio to find the ratio of their corresponding side lengths since the ratio of the perimeters of similar polygons is equal to the ratio of their corresponding linear dimensions. After finding this linear ratio, you square it to obtain the ratio of their areas because if one dimension is multiplied by a scale factor 's', the area is multiplied by 's' squared (scale factor squared).
It is important to note, however, that this rule only applies to similar polygons (similarity) and not to polygons that aren't similar, since non-similar polygons do not have a constant ratio of corresponding linear dimensions. Therefore, to answer the original question, the method works sometimes, specifically when dealing with similar polygons.
what is the volume of a cube with a side length of 5/6 cm
A $65 coat is now on sale for $52. What percent discount is given?
Help me with this question pleaseeee!!!
rose rode the roller coaster 9 times. Leila rode the roller 6 less times than Rose. Joseph rose roller coaster 5 times as many as Leila. how many times did Joseph ride the roller coaster?
how do you change 87/9 into a mixed number
ten less than triple a number is 21
Janice has car insurance that she must pay four times a year. If each payment is $156, how much money should she set aside each month to cover her car insurance? $13 $26 $39 $52
[tex]\left[\begin{array}{ccc}A&13&-\\B&26&-\\C&39&-\\D&52&Correct\end{array}\right][/tex]
1,600 principal earning 7%, compounded annually, after 33 years
Which of the following are equivalent to 85%? 0.085, 0.85, 85/100, 19/20 ? chose all that apply?
CAN SOMEONE HELP PLZ AND EXPLAIN BEC IF DONT DO GOOD I CANT GO TO MY DADS HOUSE THIS WEEK END
15+w+(-12)=15-12+w what is the answer
Simplify. 7 to the second power + 3 (-9-7) + 88 divides by 8 + 3 to the second power
because his goal is to bike 65 miles over the four days what equation can be used to find the number of miles he should bike on the first day
Draw three dimes 1 nickel and 2 pennies. Describe how to count on to find the total value of this group of coins
A brother and sister split the $990,000 from the sale of their parent's house. According to the will, the sister was to receive 25% more than her brother, for having managed the property. How much money did the sister receive?
A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip. For how many hours did the trucker travel?
Answer: The trucker traveled for 12 hours.
Step-by-step explanation:
Given : A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip.
i.e. Total distance = 583.2 miles
Average speed = 48.6 miles per hour
Using Formula , [tex]\text{Total Time}=\dfrac{\text{Total Distance}}{\text{Average speed}}[/tex]
We have
[tex]\text{Total Time}=\dfrac{583.2}{48.6}\\\\=\dfrac{5832}{486}\\\\=12\text{ hours}[/tex]
Hence, the trucker traveled for 12 hours.
whats (-2,8) and (-22,8) finding the slope from points
The circumference of a circle is 25.12 miles. What is the circle's diameter? C=25.12 mi Use 3.14 for pi
if you live 1 mile from work and can walk 4mph how long will it take you to get to work
Which of the following statements contain a variable?all that apply
A.there are 60 second in a minute
B.he is year old
C.double the number of pages in the book
D.the age of my friend
If the Federal Reserve decreases the reserve rate from 5% to 2.5%, how does this affect the amount of money that would result because of fractional-reserve banking from an initial deposit into a bank of $35,000? A. It incraeses the amount by 1,400,000 B.It decreases the amount by 1,400,000 C.It decreases the amount by 700,000 D. It increases the amount by 700,000
A marker is randomly selected from a drawer that contains 20 green, 44 orange, and 30 blue markers.Which statement is true?
P(green)≈0.21P(blue)≈0.41P(orange)≈0.
It costs $7.00 to play a very simple game in which a dealer gives you one card from a deck of 52 cards. if the card is a heart, spade, or diamond, you lose. if the card is a club other than the queen of clubs, you win $11.50. if the card is the queen of clubs, you win $50.00. the random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. what is the mean of x, rounded to the nearest penny?
a. $3.38
b. −$3.62
c. −$3.38
d. $3.62
What is the area of this trapezoid? 96 in² 132 in² 168 in² 1344 in² Trapezoid A B C D with parallel sides D C and A B. Points F and E are between D and C. F E B A form a rectangle with 4 right angles. D F is 3 inches, F E is 8 inches., E C is 3 inches., E B is 12 inches., and A B is 8 inches.
Answer:
Option B. 132 inch²
Step-by-step explanation:
Since we know the formula to calculate the area of trapezoid is = [tex]\frac{1}{2}(height)(base)[/tex]
where height of the given trapezoid ABCD is side BE and two parallel sides are AB and DC.
It's given in the question
Side BE = 12 inches
AB = 8 inches
DC = (DF + FE + EC) = (3 + 8 + 3) = 14 inches
Now we put these values in the formula
Area of trapezoid ABCD = [tex]\frac{1}{2}(AB+CD).(BE) = \frac{1}{2}(8 + 14).(12)=\frac{1}{2}(22)(12)=(11).(12)=132[/tex]
Therefore answer is Option B. 132 inch²
The radius of a circle is 4 millimeters. What is the circle's circumference? r=4 mm Use 3.14 for .
The circumference of the circle is: 25.12 mm.
The Circumference of a CircleCircumference of a circle = 2πrGiven:
radius of circle = 4 mm
π = 3.14
Required:
Circumference of the circle
Thus:
Circumference of the circle = 2×3.14×4
Circumference = 25.12 mm
Therefore, the circumference of the circle is: 25.12 mm.
Learn more about circumference of a circle on:
https://brainly.com/question/20489969
The correct answer is the circle's circumference is approximately 25.12 millimeters.
To find the circumference of a circle, one can use the formula:
[tex]\[ C = 2\pi r \][/tex]
where [tex]\( C \)[/tex] is the circumference, [tex]\( \pi \) (pi)[/tex] is a mathematical constant approximately equal to 3.14, and [tex]\( r \)[/tex] is the radius of the circle.
Given that the radius [tex]\( r \)[/tex] is 4 millimeters, we can substitute the values into the formula:
[tex]\[ C = 2 \times 3.14 \times 4 \text{ mm} \][/tex]
Now, we perform the multiplication:
[tex]\[ C = 2 \times 3.14 \times 4 = 25.12 \][/tex]
you have a piggy bank containing a total of 93 coins in dimes and quarters. If the piggy bank contains $14.85, how many dimes are there in piggy bank
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 1515 in. by 99 in. by cutting congruent squares from the corners and folding up the sides. Then find the volume.
What is the greatest fraction you can make using the digits 4, 7, and 9?
Answer:
(7^9)/4 = 40,353,607/4
Step-by-step explanation:
Assuming each digit is used once and exponentiation is allowed, the largest numerator and smallest denominator will result in the largest fraction.
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If other functions, such as factorial are allowed, then there might need to be a limit on the number of times they are applied. For example,
(7!)^(9!)/4 has about 1 million digits
something like ...
((7!)^(9!))!/4 has many more digits than that
and you can keep piling on the factorial symbols to any desired depth.