Answer:
ANSWER IS A I THINK
Step-by-step explanation:
The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than the width. Find the dimensions
The width of the playing field is
(Type an integer or a decimal)
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
L is the length of the rectangle:
W is the width of the rectangle.
Given
Perimeter = 214feet
If the length is 41 ft longer than the width, then L = 41+W
Substitute L = 41+W into the formula:
P = 2(L+W)
214 = 2(41+W+W)
214 = 2(41+2W)
214 = 82+4W
4W = 214-82
4W = 132
W = 132/4
W = 33 feet
Since L = 41+W
L = 41+33
L = 74 feet
Hence the dimension of the field is 74ft by 33ft
The width of the playing field is 33feet
your friend claims that because you can find the distance from a point to a line, you should be able to find the distance between any two lines. Is your friend correct? Explain your reasoning.
9514 1404 393
Answer:
yes
Step-by-step explanation:
Yes, you can find the distance between two lines using the formula for the distance to a line.
In general, the notion of distance between two lines only make sense when the lines are parallel.
The usual formula for the distance between a point (x, y) and the line ...
ax +by +c = 0
is ...
d = |ax +by +c|/√(a^2 +b^2)
Two lines that are parallel will differ only in their values of 'c'. That is, if the two lines are ...
ax +by +c1 = 0ax +by +c2 = 0we can arrive at the formula by considering a point (x, y) such that it satisfies the equation for line 2: ax +by +c2 = 0. The distance of that point from line 1 will be ...
d = |ax +by +c1|/√(a^2 +b^2)
Since we can add or subtract 0 from anything without changing its value, we choose to subtract 0 from the numerator:
d = |(ax +by +c1) -(ax +by +c2)|/√(a^2 +b^2)
Simplifying gives ...
d = |c1 -c2|/√(a^2 +b^2)
78 feet wide and 27 feet long what is the perimeter?
Answer:
105
Step-by-step explanation:
When finding the perimeter add them together
Some one please help it’s subtracting fractions
Convert any mixed numbers to fractions.
Then you get your initial equation
Applying the fractions formula for subtraction
Simplifying 72/16, the answer is
4 1/2
The width of a rectangle is 1 ft less than the length. The area is 30 ft2. Find the length and the width.
Answer:
the anwer is 5*6
The solution to the system -2x+5y=-15 and 5x+2y=-6 is what
Step-by-step explanation:
−2x+5y=−15 and 5x+2y=−6
Rewrite equations:
−2x+5y=−15;5x+2y=−6
Step: Solve−2x+5y=−15for x:
−2x+5y=−15
−2x+5y+−5y=−15+−5y(Add -5y to both sides)
−2x=−5y−15
−2x−2=−5y−15−2(Divide both sides by -2)
x=52y+152
Step: Substitute52y+152forxin5x+2y=−6:
5x+2y=−6
5(52y+152)+2y=−6
292y+752=−6(Simplify both sides of the equation)
292y+752+−752=−6+−752(Add (-75)/2 to both sides)
292y=−872
292y292=−872292(Divide both sides by 29/2)
y=−3
Step: Substitute−3foryinx=52y+152:
x=52y+152
x=52(−3)+152
x=0(Simplify both sides of the equation)
Answer:
x=0 and y=−3
Mrs. Olen wants to join a gym. Francis Lewis Gym charges a new member fee of $150 plus $10 each month. Clintonville Gym charges a new member fee of $50 plus $35 each month.
Answer:Step-by-step explanation:
a. Let x = number of months
Amount charged by Francis Lewis Gym = 150 + 10x
Amount charged by Clintonville Gym = 50 + 35x
Set each expression equal to the other to generate an equation to use in finding the number of months for which the cost of membership will be the same at both months
150 + 10x = 50 + 35x
Collect like terms
150 - 50 = -10x + 35x
100 = 25x
Divide both sides by 25
100/25 = x
4 = x
Answer: 4 months
b. Substitute x = 2 into each if the expression of the amount charged by each gym. The one that gives the lowest amount should be the one Mrs. Open should should join.
Amount charged by Francis Lewis Gym = 150 + 10x
= 150 + 10(2)
= 150 + 20
= $170
Amount charged by Clintonville Gym = 50 + 35x
= 50 + 35(2)
= 50 + 70
= $120
She should join the Clintonville Gym if she plans to join a gym for 2 months.
Answer: Clintonville Gym
Which number is equal to 10^3
Answer: is 0.001
10^-3 = (1)/(10^3) move the negative exponent to the denominator (1)/(1000) simplify 10^3 in the denominator (1)/(1000) = 0.001
Step-by-step explanation:
Hope you have a great night
Answer: 0.001
Step-by-step explanation:
4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have high-speed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected. a. What is the probability that the household has only cell phones and has high-speed Internet
Answer:
The probability that the household has only cell phones and has high-speed Internet is 0.408
Step-by-step explanation:
Let A be the event that represents U.S. households has only cell phones
Let B be the event that represents U.S. households have high-speed Internet.
We are given that 51% of U.S. households has only cell phones
P(A)=0.51
We are given that 70% of the U.S. households have high-speed Internet.
P(B)=0.7
We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.
P(B|A)=0.8
[tex]\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408[/tex]
Hence the probability that the household has only cell phones and has high-speed Internet is 0.408
I need help asap with my math
Answer:
The first and the third one are correct.
Step-by-step explanation:
Answer: 1 & 3 are proportional relationships
Choose the true statement.
Answer:
-8 < 8
Step-by-step explanation:
-8 is less than 0 so it is definitely less than 8
Hope this helped :)
936,292 round to the nearest ten thousand
Answer:
940,000
Step-by-step explanation:
Since there is a 6 in 936,292, that gives you the right to make the ten thousandth higher if that makes sense
We invested $10000 into two bank accounts. One account earns 14% per year, the
other account earns 8% per year. How much did we invest into each account if after
the first year, the combined interest from the two accounts is $1238?
HELP ME
Answer:
Hi, there--
THE PROBLEM:
We invested $10,000 in 2 bank accounts. One account earns 14% per year the other earns 8%
per year. How much did we invest into each account if after the first year, the combined
interest from the 2 accounts is $1238?
A SOLUTION:
Define Variables:
Let x be the amount you originally invested in the first account.
Let y be the amount you originally invested in the second account.
Write Expressions and Equations:
Since you invested a total of $10,00 in two accounts. An equation that represents this is
x + y = 10000
One account (say the first one) earns 14% per year. Recall that the decimal form of 14% is
0.14. An expression for the amount of interest you earn after the first year in this account is
0.14x.
The other account earns 8% per year. The decimal representation of 8% is 0.08. The amount
of interest you earn after one year in this account is 0.08y.
The combine interest from both account after one year is $1238. An equation representing
the total interest earned is
0.14x + 0.08y = 1238
Now we have a system of two equations with two variables. We can solve for x and y. Rewrite
the first equation in "y=" form.
x + y = 10000
y = 10000 - x
Substitute 10000-x for y in the second equation.
0.14x + 0.08y = 1238
0.14x + 0.08(10000 - x) = 1238
Solve this equation for x. Use the Distributive Property to clear parentheses.
0.14x + 800 - 0.08x = 1238
Combine like terms (0.14x-0.08x is 0.06x).
0.06x + 800 = 1238
Subtract 800 to both sides to isolate x on the left.
0.06x = 1238 - 800
0.06x = 438
Divide both sides of the equation by 0.06.
x = 438/0.06
x = 7300
In the context of this problem, x=7300 means that you invested $7300 in the first account.
Since you invested a total of $10000, you invested 10000-7300=$2700 in the second account.
Check your work by verifying that these amounts will yield the correct amount of interest.
Substitute 7300 for x and 2700 for y in the interest equation.
0.14x + 0.08y = 1238
0.14(7300) + 0.08(2700) = 1238
1022 + 216 = 1238
1238 = 1238
Check!
Hope this helps! Feel free to email if you have any questions about the
Do you guys know the answer?
Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 112 inches and standard deviation σ = 10 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 22nd percentile of the tree heights. (b) Find the 80th percentile of the tree heights. (c) Find the first quartile of the tree heights. (d) An agricultural scientist wants to study the tallest 1% of the trees to determine whether they have a certain gene that allows them to grow taller. To do this, she needs to study all the trees above a certain height. What height is this? Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Find the 22nd percentile of the tree heights. The 22nd percentile of tree heights is inches.
Answer:
Explained below.
Step-by-step explanation:
Let X represents the tree heights.
It is provided that X follows a normal distribution with mean μ = 112 inches and standard deviation σ = 10 inches.
(a)
Compute the 22nd percentile of the tree heights as follows:
[tex]P(X<x)=0.22\\\\P(Z<z)=0.22[/tex]
The z-score for the corresponding probability is, z = -0.77.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-0.77=\frac{x-112}{10}\\\\x=112-(0.77\times 10)\\\\x=104.3[/tex]
Thus, the 22nd percentile of the tree heights is 104.3 inches.
(b)
Compute the 80th percentile of the tree heights as follows:
[tex]P(X<x)=0.80\\\\P(Z<z)=0.80[/tex]
The z-score for the corresponding probability is, z = 0.84.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\0.84=\frac{x-112}{10}\\\\x=112+(0.84\times 10)\\\\x=120.4[/tex]
Thus, the 80th percentile of the tree heights is 120.4 inches.
(c)
Compute the first quartile of the tree heights as follows:
[tex]P(X<x)=0.25\\\\P(Z<z)=0.25[/tex]
The z-score for the corresponding probability is, z = -0.67.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-0.67=\frac{x-112}{10}\\\\x=112-(0.67\times 10)\\\\x=113.3[/tex]
Thus, the first quartile of the tree heights is 113.3 inches.
(d)
The tallest 1% of the trees, i.e. P (X > x) = 0.01.
That is, P (X < x) = 0.99.
⇒ P (Z < z) = 0.99
The corresponding z-value is, z = 2.33.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\0.99=\frac{x-112}{10}\\\\x=112+(0.99\times 10)\\\\x=121.9[/tex]
Thus, the tallest 1% of the trees are more than 121.9 inches tall.
Will give brainliest!
a
(1, 3) and (2, 7)
b
(3, 8) and (5, 12)
c
(1, 3) and (6, 13)
d
(5, 12) and (6, 13)
Answer:
B
Step-by-step explanation:
I think its B because the line would be closest to the rest of the dots in the graph. I hope its right!
what is the largest six digit number you can make that ends in an even number using 134569.
Answer:
965314
Step-by-step explanation:
Please mark me brainlest and hope that help (=
7th grade math help me plzzzz
Answer:
a) -16
b)7
c) -4
d) 9
Step-by-step explanation:
by solving
How many people are in the set Cn D?
4
6
36
38
Answer: A.) 4 people
Step-by-step explanation:
The sum of two numbers is 61. The smaller number is 7 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
divide by 2 equals 30.5 minus 7 equals to 23,5
Step-by-step explanation:
smaller is 23,5
B is 37.5
What is the distance between the points -30, -10 and -30, 19 in the xy plane?
A: 9 units
B: 20 units
C: 29 units
D: 49 units
Answer:
29 units..
Step-by-step explanation:
well i don't know how to insert an image of the answer...but I did it...its (c): 29 units
Use a number line to show the sum of 6+(-7) ?
Answer:
-1
Step-by-step explanation:
When you make the number line, go to the middle then move left once. Then mark that " -1 " and you put the dot over that.
It's hard to explain how to write number lines.
Anyways, the problem equals -1 because 6-7 is negative 1. The + is there to confuse you.
Mark brainliest if possible please :)
I need to know how to write a equation number sentence for my time traveled from 2020 to 2000
Answer:
explain further or send a picture of what you mean and then I can help you
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5).
What is the x-intercept???
image is there
-4 is the x intercept.as in the values on the x-axis
Answer:
Im pretty sure it the first one
Step-by-step explanation:
Please help please
Answer:
1.) supplementary m<1+m<2=180 and m<2+m<3=180
2.) congruent, supplementary
Step-by-step explanation:
the answers are in this order above
What is
41/6
as a mixed number in simplest form?
Enter your answer in the box.
Answer:
6 1/6
Step-by-step explanation:
six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6
Ticket
Use the number 45,897,310.
Rearrange the digits in the number so that the 9 is worth
10 times as much.
EXPLAIN your thinking on the line below your angin
Answer:
The rearrangement can be 45, 987 , 310
Step-by-step explanation:
Here, we want to rearrange the number such that 9 is worth 10 times as what it is worth presently
The value of 9 presently is 90,000
So 10 times as worth will be 10 * 90,000 = 900,000
So we can have the new arrangement as;
45, 987, 310
Help please zearn is so hardddd
Answer:
1000-20
Step-by-step explanation:
Micah found the least common multiple of 8 and 12. His work is shown below.
Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .
The least common multiple is 12.
What is Micah’s error?
Answer:when he was doing the multipleis of 8 he put 20 when there is no 20
Step-by-step explanation:
Whats the circumference of a circle object that's 2 meters ?