Answer:
x+(x+7)
Step-by-step explanation:
sum=add all together
One day, Farmer Brown counts his chickens and his
eggs. He finds the ratio of chickens to eggs is 7 to 12. If
there are 77 chickens, how many eggs are there?
Answer:
132 eggs
Step-by-step explanation:
7 chickens to 12 eggs; 77 chickens to x eggs
7/12 to 77/x
77/7 = 11
7/12 (11/11)
77/132
77 chickens to 132 eggs
If there are 77 chickens, and the ratio of chickens to eggs is 7 to 12, there are 132 eggs.
The number of eggs from the given ratio are 132.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of chickens to eggs is 7 to 12.
There are 77 chickens.
Let x be the total number of chickens and eggs.
Now, 7/19 ×x=77
⇒ 7x=1463
⇒ x=209
Number of eggs =209-77
= 132
Therefore, the number of eggs are 132.
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a rectanguluar parking lot has a length that is 5 yards greater than the width the area of the parking lot is 300 square yards find the length and the width use formula area =length * width the -parking lot width is of yards is? the length is?
Answer:
Required Answer:-Area=300yards^2Let
Breadth =x
length=x+5
As we know that in a rectangle
[tex]{\boxed{\sf Area=lb}}[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf x (x+5)=300[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x=300 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x-300=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+20x-15x-300=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x (x+20)-15 (x+20)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf (x+20)(x-15)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x+20=0\:or\:x-15=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=-20 (Impossible)\:or \;x=15 [/tex]
Width=15yardsLength=15+5=20yardsPlease help!!!!!!!!!!!!
solve for x. HELPPP MEEEE PLEASE
Answer:
18
Step-by-step explanation:
A new concert venue just opened in downtown Houston and they are in the process
of deciding how many tickets they can sell for each show. The venue has three levels,
two general admission that only have standing room, and one level with 150 seats.
The venue thinks each person will occupy 2.25 ft.
.
• The first level of standing room is a square with one side measuring 75ft.
The second level, also standing room, is a rectangle measuring 100' by 50' ft.
. The third level has 150 seats.
How many tickets can they sell for the first level?
Answer:
2500
Step-by-step explanation:
Dimensions of first level
Length = Breadth = 75 ft (since it is a square)
It is assumed that a person will occupy [tex]2.25\ \text{ft}^2[/tex]
Area of first level
[tex]75\times 75=5625\ \text{ft}^2[/tex]
When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.
[tex]\dfrac{5625}{2.25}=2500[/tex]
The number of tickets that can be sold for the first level is 2500.
Find the slope of (5,-5) and (-4,5)
Answer:
Slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]
Step-by-step explanation:
We need to find the slope of points (5,-5) and (-4,5)
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=5, y_1=-5, x_2=-4 \ and \ y=5[/tex]
Putting values in formula and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\frac{5-(-5)}{-4-(5)}\\Slope=\frac{5+5}{-4-5}\\Slope=\frac{10}{-9}\\Slope=-\frac{10}{9}[/tex]
So, slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]
What is an equation with a slope of 2 that passes through (-8,0)
1) y=Mx+b
2) substitute the values: 0= -8x2 + b
3)multiply: 0= -16 +b
4) add 16 to both sides : 16= b
5) b is your y int. Plug in the values y=2x + 16
Answer : y= 2x+ 16
What is the x-intercept when y = 3x - 6 is graphed?
Answer:
(2,0)
Step-by-step explanation:
Answer:
x intercept (2,0) y intercept is(0,-6)
Step-by-step explanation:
How do u write 342 hundredths
Answer:
Since 342 hundredths is 342 over one hundred, 342 hundredths as a Fraction is 342/100. If you divide 342 by one hundred you get 342 hundredths as a decimal which is 3.42. To get 342 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 342 percent.
Answer:3.42
Step-by-step explanation:
FIND THE MEASURE OF EACH MISSING ANGLE HURRY DUE AT 10
Does anyone wanna do my homework for me (just math) plz &thx
In a recent year, grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.
A random sample of 60 students is drawn from this population. What is the probability that the mean test score is greater than 290? Leave answers in decimal form, not percentages. Round to the nearest Hundredth (two decimal places).
Answer:
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
Step-by-step explanation:
Step(i):-
Mean of the Population (μ) = 281
Standard deviation of the Population = 34.4
Let 'X' be a random variable in Normal distribution
Given X = 290
[tex]Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027[/tex]
Step(ii):-
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = P( Z > 2.027)
= 0.5 - A ( 2.027)
= 0.5 - 0.4783
= 0.0217
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
help, please
thank you
i will brainlist
Answer:
The answer is √156
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
After 7 hours of driving. Chad had gone 364 miles. What was his average speed? Explain how you got your answer.
Answer:
52 miles per hour
Step-by-step explanation:
Given:
Distance driven = 364 miles
Total time taken = 7 hours
Required:
Average speed of Chad
SOLUTION:
Average speed is the number of miles covered per hour.
Thus:
Average speed = distance covered / time taken to cover the distance
Average speed = [tex] \frac{364}{7} = 52 mph [/tex].
Chad's average speed is 52 miles per hour.
This is how many classes students at Bronx College take this semester with the probabilities courses1 2 3 4 5 probability (distribution) of taking that many courses.1.1.6.1.1 The variance for this distribution is approximately.
Answer:
1
Step-by-step explanation:
Given the question above :
The probability distribution :
X : ___ 1 ___ 2 ___ 3 ___ 4 ____ 5
P(x): _ 0.1 __ 0.1 __ 0.6 _ 0.1 __ 0.1
The Variance : Var(X) = (Σx²*p(x)) - μ²
μ = E(X) = Σ(X * p(x)) :
Σ(X * p(x)) = (1*0.1)+(2*0.1)+(3*0.6)+(4*0.1)+(5*0.1)
μ = 3
Var(X): [(1^2*0.1)+(2^2*0.1)+(3^2*0.6)+(4^2*0.1)+(5^2*0.1)] - 3²
= 10 - 9
= 1
Hence. Variance = 1
Know how to calculate sample size: A restaurant would like to estimate the average $ amount of a take-out order. The standard deviation is $15. If a 99% confidence level and an interval (error) of $5 is desired, how many customers should be in the sample?
Which of the following examples would use the z-distribution:______.
a. x = 100; µ = 99; s = 5; n = 70
b. x = 50; µ = 53; σ = 7; n = 15
c. x = 7; µ = 4; s = 1; n = 20
d. x = 15; µ = 17; σ = 3; n = 45
solve the following formula for H. r=n/2(b+H)
Answer:
See below.
Step-by-step explanation:
What you wrote means:
[tex] r = \dfrac{n}{2}(b + H) [/tex]
If that is what you meant, then the answer is:
[tex] \dfrac{2r}{n} = b + H [/tex]
[tex] H = \dfrac{2r}{n} - b [/tex]
On the other hand, if this is what you meant:
[tex] r = \dfrac{n}{2(b + H)} [/tex]
then the answer is:
[tex] 2r(b + H) = n [/tex]
[tex] 2rb + 2rH = n [/tex]
[tex] 2rH = n - 2rb [/tex]
[tex] H = \dfrac{n - 2rb}{2r} [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{n}{2}(b + H) = r\\\\b +H = r * \frac{2}{n}\\\\b + H = \frac{2r}{n}\\\\H = \frac{2r}{n} - b[/tex]
Last week Carlos spent 3 1/2 hours practicing piano. This was 1/3 the amount of time he spent reading. How long did Carlos spend reading last week?
Answer:
3 1/2 = 210 minutes
1/3 * 210 = 70 minutes = 1 hour and 10 minutes
Thank you and please rate me as brainliest as it will help me to level up
On solving the linear equation 3.5 = x/3 , we get that the time Carlos spent on reading last week was x= 10.5 hours
What is an linear equation in one variable?Linear equation is an equation containing one unknown variable with power one and constants.
The standard form of an linear equation in one variable x is :
ax + b = 0 , where a, b are constants
x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting , multiplying or dividing by same number to both sides.
Let Carlos spent x hours reading last week
Given that last week the time that Carlos spent practicing piano for 3 1/2 hours = 7/2 hours = 3.5 hours
Time spent on practicing piano = 1/3 ( time spent on reading)
⇒ 3.5 = (1/3) x
Multiply both sides by 3
⇒ 3.5 ×3 =3×(1/3)x
⇒10.5 = x
Therefore, the time spent by Carlos on reading last week is 10.5 hours.
Also, learn more about linear equation from the link below:
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help
please..,..who knows this math answer
A. in a linear equation in x and y x is indepdendt so y depends on it
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
96 loaves
Step-by-step explanation:
6 hours is 360 minutes. Divide that by 45 min equals 8. If he can bake 12 every 45 min, then he can bake 8 x 12 loaves in 6 hours or 96 loaves.
Answer:
A, 96 loaves of bread
Step-by-step explanation:
So first off, since the rate is in minutes and not hours, you would first find how many minutes are in 6 hours. 60 minutes per hour multiplied by 6 hours gets you 360 minutes. You would now divide 360 by 45, and that would get you 8. You now have 8 units of 45 minutes, if that makes sense. You would now multiply 8 by 12, and get 96 loaves of bread.
PLEASEEE HELP ITS FOR A GOOD CAUSE !!
Answer:
And what cuase might that be...? Jkjk ofc ill help
Step-by-step explanation:
Amswer is C. im 99 percent sure i did the math and to double check i put it into a site ans it said it was C! Hope this helps! :)
If c, m, and n are integers, which of the following are NOT possible values of m and n for the equation below? (Equation in pic)
A. M=2, n=2
B. M=-1, n=5
C. M=-2, n=-2
D. M=1, n=3
Answer: C. m = -2; n = -2
have:
x² + 4x + c = (x + m)(x + n)
⇔ x² + 4x + c = x² + (m + n)x + mn
⇒ m + n = 4
mn = c
=> M=-2, n=-2 arent possible
Step-by-step explanation:
Drag each tile to the correct box. Not all tiles will be used.
Consider the following function.
f(x)=2x+5
Place the steps for finding f -1(x) in the correct order.
I NEED THIS 50 POINTS!!!
Answer:
y = 2x +5
X=2y + 5
X-5 =2y
X-5 / 2 = y
f-1 (x) = x-5/2
Step-by-step explanation:
Answer
This is correct for sure
Step-by-step explanation:
ANSWER ASAP PLSSSS PLS PLS
Answer:
x = 14 ; 58° ; 32°
Step-by-step explanation:
What's the actual question??? ... To find "x" or to find the measure of each angle?
(4x + 2)° + (2x + 4)° = 90°
6x + 6 = 90
6x = 84
x = 14
(4(14)+ 2)° = 58°
(2(14) + 4)° = 32°
According to a 2009 Reader's Digest article, people throw away approximately 90% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 100 grocery shoppers to investigate their behavior.
Required:
What is the probability that the sample proportion exceeds 0.84?
Answer:
0.9495
Step-by-step explanation:
We are given;
Population proportion; p = 90% = 0.9
Sample size; n = 100
Sample Proportion; p^ = 0.84
Formula to find the probability that sample proportion exceeds 0.84 is;
Z = P(p^ > 0.84) = (p - p^)/√(p^(1 - p^)/n)
Z = (0.84 - 0.9)/√(0.84(1 - 0.84)/100)
Z = -0.06/0.03666
Z = -1.64
From online z-score calculator attached, the probability is;
P(x>Z) = 0.9495
A store bought a shirt for $20 dollars.
They sold it for some $23 dollars.
What is the percent of change here?
[tex]\mathrm {Hey, there!}[/tex]
Thanks for posting your question! Let's solve your problem:
The answer to your question is: 280% increase!
When we do percent of change, we will set up this ratio.
CHANGE IN QUANTITY (23 - 20)
------------------------------------------
ORIGINAL QUANTITY (3)
The change in quantity is : 23 - 20
The original quantity would be 3, 23 - 20 = 3.
Now, we will convert that into a fraction.
20 / 2 = 10
23 - 20 = 3
Fraction - 3/10
Make the fraction into a decimal.
3/10 = 0.15
Make the decimal into the percent.
0.15 = 15% increase
Best of Luck!
Help!! Please help with this question.
Answer:
The slope seems to be 4.
Step-by-step explanation:
The line seems to be starting at (3,0) and if you use the rule rise/run, it goes up (rises) 4 units and moves over (runs) 1 unit. You then rewrite this as 4/1 and you get 4 as the slope!
Answer:
The slope is 4
My logic:
Slope is delta y over delta x so if you take any 2 points on that graph and get the x and y of each point and find the change of the two x and the two y and put the change in y over the change in x. you get slope. like so= 16/4 or 4
Find the unit rate from the graph :
Answer:
There are 5 sales per minute!
Step-by-step explanation:
A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. Basically 5 is the unit rate! 5/1 is 5!
Need help, quick, if anyone can, thank you in advance.
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Trust me I even used an algebra calculator.
Type the correct answer in each box. Use numerals instead of words.
Michael accidently dropped his conducting baton off the top of the bleachers while performing with the marching band at a football game. The
bleachers are 144 feet high, and the baton landed after 3 seconds. Complete the table modeling the height of the baton, h(t), after t seconds.
Answer: the first bubble is 144, the last bubble is 3
Step-by-step explanation:
at 0 seconds the height is 144. at 3 seconds the height is 0.
The required missing values in the table are (0,176) and (3.67, 0).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The equation representing the given data in the table is given by the equation of the line,
y - y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the value in the above equation from the table.
y - 128 = (80-128)/(2-1) (x - 1)
y - 128 = -48/1(x - 1)
y = -48x + 48 + 128
y = -48x + 176
Put x = 0 in the above equation,
y = 176 feet high
Again put y = 0
0 = -48x = +176
48x = 176
x = 176 / 48
x = 3.67
Thus, the required missing values in the table is (0,176) and (3.67, 0).
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