55
11 = 20% × y
11 = 20/100 × y
multiply both sides by 100 and divide both sides by 20
y = 11 x 100/20
y = 11 × 100 ÷ 20
y = 55
You install 580 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 144 feet. What is the length of the yard?
==========================================================
Explanation:
P = 580 is the perimeter of the rectangleW = 144 is the widthL = unknown lengthThe units for each are in feet.
The formula tying together all three variables is
P = 2(L+W)
which is the same as saying
P = 2L+2W
We can think of it having two copies of L and two copies of W, four sides total, added together to get the full perimeter.
I'll go with the first version. Plug in the given values and solve for L
P = 2(L+W)
2(L+W) = P
2(L+144) = 580
L+144 = 580/2
L+144 = 290
L = 290-144
L = 146 feet is the length
---------------
We can confirm this by saying
P = 2(L+W) = 2(146+144) = 2*290 = 580
Or we could say
P = 2L+2W = 2*146+2*144 = 292+288 = 580
or,
P = L+W+L+W = 146+144+146+144 = 580
If c = 25 and B = 50 degrees, find a.
Answer:
25........................
Write each expression with a single exponent:
Answer:
10^1410^2710^1810^610^610^35Step-by-step explanation:
with raising an exponent to the power of another exponent all you need to do is multiply the exponents.
the base remains the same.
You are running a concession stand at a football game. You are selling snacks and sodas. Each order of nachos costs $2 and each soda costs $1.50. At the end of the night, you made a total of $125. You sold a total of 76 nachos and sodas combined. You must report the number of nachos sold and the number of sodas sold. What equations did you use to solve this
The equations are n + s = 76 and 2n + 1.50 s = 125.
let n = number of Nachos sold
let s = number of sodas sold
Two equations are presented to us, and we can use them together to solve one variable at a time.
Eq. 1: n + s = 76
Eq. 2: 2n + 1.50 s = 125
So, s = 76 - n
Put (76 - n) for s in the second equation
2n + 1.50 (76 - n) = 125
2n + 114 - 1.50 n = 125
2n - 1.50 n + 114 = 125
0.5n + 114 = 125
0.5n = 125 - 114
0.5n = 11
n = 22
s = 76 - 22
s = 54
22 nachos sold and 54 sodas sold.
To learn more about equations here:
https://brainly.com/question/29657983
#SPJ4
There are 10 marbles in a bag .2 red, 5 green and 3 blue. Aron picks up 2 marbles without
replacing the first marble. What is the probability that both the marbles are blue.
Answer:
It would be 0.09
Step-by-step explanation:
First, note the original Probability for picking a blue marble in the first try:
0.3
Now, if this were to happen again, knowing that no marbles would be taken out, it would be another chance of 0.3 for Aron to pick up a blue marble on his second pick up.
Due to these being independent events, you can do:
0.3*0.3 = 0.09
To get your answer, 0.09.
Answer:
27/90 = 3/10
Step-by-step explanation:
Calculate the probability that neither is blue
7/10 * 6 / 9
63/90
Now the remainder of the choices are what the probability is when both are blue
1 - 63 / 90
27/90 is the probability of choosing 2 blues.
What is the probability that this year's graduation will fall on the birthday of exactly one of the 68
Seniors? What is the probability that there is more than one such Senior?
As a result, there is a 0.1863 chance, or 18.63% probability , that one of the 68 seniors who will graduate this year will graduate on their birthday.
How does probability work?fundamentals of probability A probability is a numerical representation of the likelihood or possibility of an event occurring. Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range.
Here,
The likelihood that one of the 68 seniors graduating this year will have their birthday coincide with graduation day is given here.
As a result, this issue can be modeled using a binomial probability model with a success chance of 1/365.
Given: The likelihood of exactly 1 success after 68 attempts.
=> P(x=1) = 68!/ (68-1)! * 1/365
=> 68/365
= > 0.1863
As a result, there is a 0.1863 chance, or 18.63%, that one of the 68 seniors graduating this year will have their birthday coincide with the commencement.
To know more about probability , visit
https://brainly.com/question/30034780
#SPJ1
What is the mean? If the answer is a decimal, round it to the nearest tenth. 2 -5 9 6 -7 5
Answer:
1.7
Step-by-step explanation:
Adding together all the points, you get 10. 10 divided by 7 is 1.666666667, which rounds to 1.7
Becky buys 3 1/2 kilograms of cheddar cheese and 1 kilogram of Swiss cheese. There are 1,000 grams in 1 kilogram. How many grams of cheese does Becky buy?
1.) 450
2.) 4,120
3.) 412
4.) 4,500
help me, thanks
Answer:option 4. 4,500
Step-by-step explanation:
sense 1k= 1,000 g.......S =1 CC=3 1/2= 500 3=4 = 4,500
have an amazing day hope this helpsss<3
There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. How many males are cast in
the school play?
Answer:
12
Step-by-step explanation:
32×3/8
.................
BOUNDS QUESTION GCSE MATHS - A race is measured to have distance of 10.6km, correct to the next0.1km. Sam runs the race in a time of 31 minutes 46seconds, correct to the nearest second.
Sam's average speed in this race is Vkm/hour.
By considering bounds, calculate the value of Vkm to a suitable degree of accuracy. You must show your work and get reasons for your answer. [5 MARKS]
The average speed of Sam's race car is equal to 20 kilometers per hour.
How to determine the average speed of a race car
In this question we find the case of a race car being displaced in a race whose length (s) is 10.6 kilometers, a distance traveled in a time (t) of 31 minutes and 46 seconds (1906 seconds). The average speed (v), in kilometers per hour, is described by the following formula that assumes an hypothetical constant speed:
v = s / t
Where:
s - Distance, in kilometers.t - Time, in hours.First, convert time into hours:
t = (31 min) · (1 hour / 60 min) + (46 s) · (1 hour / 3600 s)
t = 0.529 h
Second, calculate the average speed:
v = (10.6 km) / (0.529 h)
v = 20.038 km / h
v = 20 km / h
To learn more on average speed: https://brainly.com/question/12322912
#SPJ1
Can anyone be my todor im 12 in 7th grade i need help with math?
Answer:
I can help you for free if you want!
Step-by-step explanation:
I'm in 11th grade, so I know most 7th-grade math things.
What is the slope of the line shown below?
AY
10
o
A. 2
(4,8)
B. -2
(2, 4)
C. -4
5
10
15
D. 4
10
The slope of the line is 2.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
From the line,
Coordinates are:(2, 4) and (4, 8)
Now,
(2, 4) = (a, b) and (4, 8) = (c, d)
Slope.
= (d - b) / (c - a)
= 8 - 4 / 4 - 2
= 4 / 2
= 2
Thus,
The slope of the line is 2.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ7
About 3/4 of a person weight is water. If a student weighs 100 lbs, how much of his weight is water
Answer:
75 of his weight is water
Step-by-step explanation:
3/4 * 100
3 * 100/4
3 *25
The answer is 75
Answer: 75 pounds
Step-by-step explanation: yous start by dividing the students weight into fourths. One-hundred divided by four is 25. But we need to find three fourths so ties 25 by three you get 75
-Damien Kubinec
write an explicit rule for -2, 5, 12, 19
The explicit rule for the sequence -2, 5, 12, 19 is
-2 + (n - 1) 7.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
-2, 5, 12, 19
This is an arithmetic sequence.
The first term.
a = -2.
The common difference.
d = 5 - (-2) = 7
= 12 - 5 = 7
= 19 - 12 = 7
Now,
The nth term of an arithmetic sequence.
= a + (n -1)d
= -2 + (n - 1)7
Thus,
The explicit rule is -2 + (n -1) 7.
Learn more about arithmetic sequence here:
https://brainly.com/question/10396151
#SPJ1
PLZZ HELPP RATIONALL OR NOTTTT
Answer:
1. [tex]\sqrt{7}[/tex]
2. The square root of an imperfect square
Step-by-step explanation:
A rational number is any number that can be written as a fraction (with the numerator and denominator being integers). All terminating and repeating decimals are rational.
The square root of an imperfect square is always irrational.
Jayden has been reading a 275275275-page book for English class. On average, he has read about 101010 pages in 151515 minutes (\text{min})(min)(, start text, m, i, n, end text, ). With a deadline looming, Jayden realizes that he won't finish in time unless he skims through the rest of the book. If he skims the book, he can cover 151515 pages in 10\,\text{min}10min10, start text, m, i, n, end text. If it takes Jayden 555 hours and 50\,\text{min}50min50, start text, m, i, n, end text to finish the book (reading and skimming combined), how many pages did Jayden have to skim through
Jayden had to skim through an amount of 75 pages, in the given word problem.
What is word problem?A word problem is a few sentences that describe a "real-life" scenario in which a problem must be solved using a mathematical calculation.
Word problems are regarded as an important part of the primary curriculum because they require children to apply their knowledge of various concepts to'real-life' scenarios.
Let S = no. of skimmed pages
Let R = no. of read pages
Then S + R = 275
So R = 275 - S
Reading rate = 15 min/10 pages
Skimming rate = 10 min/15 pages
Total time to finish book = 350 min
So,
(R)(Reading rate) + (S)(Skimming rate) = 350 minutes
Substituting the values:
(275-S)(15/10) + (S)(10/15)=350
Multiplying equation through by 30 yields:
12375 - 45S + 20S = 10500
Combine terms
1875=25S
S = 75
Thus, Jayden had to skim through an amount of 75 pages.
Learn more about word problem
https://brainly.com/question/29027588
#SPJ4
Mrs. Katz’s science class has spherical beakers that measure 14 centimeters in diameter. If Mrs. Katz wants to fill the sphere, what is the volume in cubic centimeters that she can fit into the beaker? round your answer to the nearest hundredth.
The volume of the spherical beaker is 1436.76 cubic centimeters
How to determine volume a spherical beaker?
In order to determine the volume the spherical beaker, you need the formula for the volume of a sphere.
The volume of sphere is given by the formula:
Volume of sphere = 4/3 πr³
where r is the radius of the sphere
Since the spherical beaker that measure 14 centimeters in diameter. The radius of the beaker will be:
radius = 14/2 = 7 cm
Volume of the spherical beaker = 4/3 × π × 7³
Volume of the spherical beaker = 1436.76 cubic centimeters
Learn more about volume of a sphere on:
brainly.com/question/22716418
#SPJ1
y=-2x + 11 and y= 4x + 2
(Answer for 100 brainlist!!)
Just solve the x value for the frist equation and the y value for the secound equation
x=-1.5
y=8
the answer is in the picture below
Please help me no links and HURRY (extra points if right)
I think the answer is $18.63
Step-by-step explanation:
First, I added 15% to $45 = $51.75
next, I subtracted 64% from $51.75 = $18.63
This means Ben spent $18.63 on books
Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. how much money did Priya raise? Help please its due tomorrow!!!
There are 100 pennies in 1 dollar, so Priya collected 2400/2.5=<<2400/2.5=960>>960 pennies.
This means Priya raised 960/100=$<<960/100=9.60>>9.60. Answer: \boxed{9.60}
Type the correct answer in each box. Use numerals instead of words.
For linear functions v and w, v(10) = 12, and w(10) = 9.
(V+ W)(10) =
(V-W)(10) =
(VW)(10) =
Answer:
21
3
108
Step-by-step explanation:
(V+ W)(10) = 12 + 9 = 21
(V-W)(10) = 12 - 9 = 3
(VW)(10) = 12 * 9 = 108
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
A
Step-by-step explanation:
ez
tx is the finder of the anser
Solve the problem as directed. The force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance d between them. Express this fact as a variation using c as a constant. Use M1 and M2 for the weights of the two bodies.
Therefore, F = c * M1 * M2 / d^2 when the force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance between them using the C constant.
What is the distance?Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.
What is direction?Direction is characterized as the course that anything follows, the route that must be taken to go to a certain location, the direction in which something is beginning to take shape or the direction you are facing.
F = c * M1 * M2 / d^2
Where,
F is the force of attraction,
M1 and M2 are the weights of the two bodies,
d is the distance between the two bodies,
and c is the proportionality constant.
To know more about Forces visit: https://brainly.com/question/13191643
#SPJ4
please help: solve for x
Step-by-step explanation:
in an isoceles triangle (both legs have identical length) the height from the top corner to the baseline shots the baseline into 2 identical halves.
so,
6x + 6 = 9x - 15
6 = 3x - 15
21 = 3x
x = 21/3 = 7
many greetings to your teacher from me : he/ she made a formal mistake. the angles at Y have to be indicated as right angles. because if the line WY is not the height but could have any angle with the baseline, this cannot be solved.
Sam made 60 gallons of paint by mixing 24
gallons of green paint with 36 gallons of blue
paint.
What part of every gallon is
from green paint?
Answer:
40% of every gallon is from green paint.
Step-by-step explanation:
Given that Sam made 60 gallons of paint by mixing 24 gallons of green paint with 36 gallons of blue paint, to determine what part of every gallon is from green paint the following calculation must be performed:
60 = 100
24 = X
24 x 100/60 = X
2,400 / 60 = X
40 = X
Therefore, 40% of every gallon is from green paint.
given the regular polygon what is the measure of each numbered angle
will mark brainliest
70 points
Answer:
It would be answer A.
Step-by-step explanation:
I used basic analysis.
I looks at the angles and choose which answer looked like it would best fit the angles.
what is x^2(2x^2+8)?
Answer:
2[tex]x^{4}[/tex] + 8[tex]x^{2}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex](2[tex]x^{2}[/tex] + 8) When you are multiplying powers that have the same bases, you add the exponents.
\frac { 32 x ^ { 2 } } { y } + \frac { 108 y ^ { 2 } } { x } y 32x 2 + x 108y 2
Therefore , the solution of the given problem of fraction comes out to be 4((2x)³ + (3y)³) /xy.
What exactly is a fraction?To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the fraction to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the exponent or population of a complicated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of a total number or item.
Here,
Given : 32x²/y + 108y²/x
=> (32x³+ 108y³ ) /xy
=> 4(8x³ + 27y³) /xy
=> 4((2x)³ + (3y)³) /xy
Therefore , the solution of the given problem of fraction comes out to be
4((2x)³ + (3y)³) /xy.
To know more about fraction visit:
brainly.com/question/10354322
#SPJ1
What is the value of b? 2(b + 12) = 16
Answer:
The answers is 2b+24=16
Step-by-step explanation:
Multiply using the distributive property can I please have a brainless thank you and have a good afternoon
Answer:
B= -4
Step-by-step explanation:
2 x -4 = -8
2 x 12 = 24
24 - 8 = 16
guys please help i'm stup!d
Answer:
Option B: 0.4
Step-by-step explanation:
We have 20 dots.
Such that each column represents the repetitions for each proportion.
So:
0.1 -> 3 times
0.2 -> 1 time
0.3 -> 4 times
0.4 -> 6 times
0.5 -> 3 times
0.6 -> 3 times
Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.
Remember that for a set of N values:
{x₁, x₂, ..., xₙ}
The mean is:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In this case we have the set of 20 points described above, then the mean is:
[tex]M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37[/tex]
Rounding to the first place after the decimal point, we get:
M = 0.4
Then the correct option is option B.