Answer:
$135.70
Step-by-step explanation:
First step is to calculate the daily consumption for this family of four. We'll assume they're all in age to use and flush the toilet themselves (no babies).
So, one person flushes 9.1 gallons a day, a family of 4 would then flush 4 times that:
daily family flushes = 9.1 gal/person * 4 persons/family = 36.4 gal/family
That's for one day... now for a year...
yearly = 36.4 gal/day * 365 days/yr = 13 286 gal/year
Let's convert those gallons into cubic feet:
13 286 gal / 7.48 gal/ft³ = 1,776.2 ft³
Then we multiply the gallons by the price for 100 cubic feet and divide by 100:
1,776.2 ft³ * $7.64 /100 ft³ = $135.70
Destiny bought 10 1/2 yards of material for costumes for the city pageant she will use one and 140 yards of the material to make each costume how many costumes can destiny complete
Answer:
She can complete 8 costumes
Step-by-step explanation:
Answer:
8 costumes
Step-by-step explanation:
Cathy is organizing the bottles of nail polish at a store. There are a total of 296 bottles. If Cathy puts the same number of bottles on each of 4 shelves, how many bottles will be on each shelf?
Answer:74
Step-by-step explanation:
If a car can go 200 miles in 6hours how far can it go in 7 hours
Answer:
If a car can go 200 miles in 6 hours at a constant rate, in 7 hours it will have gone 233.33 (0.33 repeating) miles.
Step-by-step explanation:
If a car can go 200 miles in 6 hours, then we know it can go about 33.33 miles per hour (found by dividing 200 by 6).
If the car is going at this constant rate we can then multiply 33.33 by 7, which would give us 233.33.
The car can go 233.33 miles in 7 hours
What is Ratio and proportion ?A comparison of two entities by dividing them is called Proportion and when two ratios are equated to one another , they are said to be in proportion.
It is given in the question that
a car can go 200 miles in 6 hours
Distance covered in 7 hours
In the given question the ratio of Distance covered and time is
200/6 = 100/3 = 100:3
Let the distance covered in 7 hours is x
therefore the ratio will be x : 7
These two ratios will be in proportion
100:3 = x: 7
100/3 = x / 7
x = 100 * 7 / 3
x = 700 / 3
x = 233.33 miles
Therefore The car can go 233.33 miles in 7 hours .
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Find the first four iterates of the function f(x) = 2x with an initial value of x0 = 2.
a.
4, 6, 8 ,10
c.
2, 4, 8, 16
b.
2, 4, 6, 8
d.
4, 8, 16, 32
Please select the best answer from the choices provided
Answer:
d. 4, 8, 16, 32
Step-by-step explanation:
We'll use the formula f(x) = 2x for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.
So, we start with x0 = 2 and we plug that into the base equation:
x0 = 2 ==> f(x) = 2(2) = 4
x1 = 4 ==> f(x) = 2(4) = 8
x2 = 8 ==> f(x) = 2(2) = 16
x3 = 16 ==> f(x) = 2(2) = 32
x4 = 32 ==> f(x) = 2(2) = 64
solve for x
x=
the graph shown below
Answer:
x=27
Step-by-step explanation:
Without the arrow crossing through that right angle, it would equal 90 degrees. Since it's cut in half, each part equals 45 degrees. A straight line equals 180 degrees. 3×27=81 and 81+9=90. 90+90=180 :)
What is the main purpose of the reproductive system in organisms on Earth?
A.
to enable an organism to make more of its kind
B.
to control the level of various hormones in the organism
C.
to allow an organism to move through contractile forces
D.
to provide leverage for movement and organ protection
Answer:
A.
Step-by-step explanation:
That's what I would say, at least.
please help drag and drop
FCH - NPM
PNM - CFH
HF - MN
NP - FC
3w - 4z = 8 what is w
Final answer:
To solve the equation 3w - 4z = 8 for w, add 4z to both sides and then divide by 3, resulting in the expression w = (4z + 8) / 3.
Explanation:
The student's equation, 3w - 4z = 8, involves algebraic manipulation to solve for the variable w. To isolate w, we rearrange the equation to get w by itself on one side of the equation:
Add 4z to both sides to get: 3w = 4z + 8
Divide both sides by 3 to solve for w: w = (4z + 8) / 3
Now we have w expressed in terms of z. This is the solution for w assuming you have a specific value for z you can substitute into this expression.
Final answer:
To find w, isolate it by adding 4z to both sides and then dividing by 3, resulting in w = (8 + 4z) / 3.
Explanation:
To solve for w in the equation 3w - 4z = 8, you would isolate w on one side of the equation. First, add 4z to both sides of the equation so that you have 3w = 8 + 4z. Then, divide both sides by 3 to get w by itself. The final equation representing w would be w = (8 + 4z) / 3. This doesn't directly correspond to the provided physics equations; however, we can apply a similar method of isolating the unknown in those as well.
find the value of x 5x+6-2=9
A.1
B.5
C.3/7 fraction
D. 5/7 fraction
Answer:
A
Step-by-step explanation:
Given
5x + 6 - 2 = 9, that is
5x + 4 = 9 ( subtract 4 from both sides )
5x = 5 ( divide both sides by 5 )
x = 1 → A
What is the probability of flipping a coin 10 times and getting tails 7 times ? Round your answer to the nearest tenth of a percent.
Answer:
Option C: 11.7%
Step-by-step explanation:
The number of elements in sample space when a coin is flipped 10 times will be:
[tex]n(S) = 2^{10} \\= 1024[/tex]
Let A be the event that the tails appear 7 times:
Then,
[tex]C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\[/tex]
Converting into percentage:
[tex]P(A) = 0.1171*100=11.7%[/tex]
So, option C is correct ..
Answer:4.4%
Step-by-step explanation:just took it
What is the hypothesis of the given statement? If pigs had wings, you could fly.
The hypothesis of the given statement is that if pigs had wings, you could fly.
Explanation:The hypothesis of the given statement is that if pigs had wings, you could fly.
This statement is an example of a hypothetical scenario, as pigs do not actually have wings. The hypothesis implies that if pigs did have wings, it would enable flight for humans.
It is important to note that this statement is purely hypothetical and does not reflect the reality of pigs having wings.
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Find the area of a circle with a diameter of \color{green}{6}6start color green, 6, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2
start superscript, 2, end superscript
Answer:
9pi
Step-by-step explanation:
Choose the function whose graph is given by:
[tex]y=3sec\left(\frac{1}{2}x\right)[/tex]
Step-by-step explanation:The graphs of [tex]sec(x)[/tex] can be obtained from the graph of the cosine function using the reciprocal identity, so:
[tex]sec(x)=\frac{1}{cos(x)}[/tex]
But in this problem, the graph stands for the function:
[tex]y=3sec\left(\frac{1}{2}x\right)[/tex]
Because the period is now 4π as indicated and for [tex]x=0[/tex] in the figure and this can be proven as follows:
[tex]Period=\frac{2\pi}{\frac{1}{2}}=4\pi[/tex]
Also, [tex]for \ x=1 \ then \ y=3[/tex] as indicated in the figure and this can be proven as:
[tex]y=3sec\left(\frac{1}{2}x\right) \\ \\ y=\frac{3}{cos(0.5x)} \\ \\ y=\frac{3}{cos(0.5(0))} \\ \\ y=\frac{3}{1}=3[/tex]
What are the exact solutions of x2 − 3x − 7 = 0?
x = the quantity of 3 plus or minus the square root of 37 all over 2
x = the quantity of negative 3 plus or minus the square root of 37 all over 2
x = the quantity of 3 plus or minus the square root of 19 all over 2
x = the quantity of negative 3 plus or minus the square root of 19 all over 2
[tex]\bf ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-3}x\stackrel{\stackrel{c}{\downarrow }}{-7}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{-(-3)\pm\sqrt{(-3)^2-4(1)(-7)}}{2(1)}\implies x=\cfrac{3\pm\sqrt{9+28}}{2}\implies x=\cfrac{3\pm\sqrt{37}}{2}[/tex]
Answer:
A. x = the quantity of 3 plus or minus the square root of 37 all over 2
Step-by-step explanation:
The moon has a radius of about 939 leagues long. What is the total surface area of the moon? Rounded to the nearest whole number. (Ex. 3244.55 rounds up to 3245.) *
Radius, r = 939 ft
Then:
Diameter, d = 1878 ft
Circumference, C = 5899.9110034416 ft
Area, A = 2770008.2161158 ft^2
AREA = 2770 if you're shortening.
For this case we assume that the moon is spherical. For definition, the surface area of a sphere is given by:
[tex]S = 4 \pi*r ^ 2[/tex]
Where:
A: It is the radius of the sphere
We have that the radius is 939 leagues.
by definition, 1 league is equivalent to 4.82803 kilometers.
ENtonces 939 leagues represent 4533.52 km.
Substituting:[tex]S = 4 \pi * (4533.52) ^ 2\\S = 20552803.5904 * 4 * \pi\\S = 258,274,147.081[/tex]
It has a surface area of 258,274,147 km
ANswer:
258,274.147 km
Which is the best estimate for the percent that is represented by the shaded portion of the diagram? 30% 36% 38% 40%
Answer:
Three of the boxes out of the eight are shaded.
So, 3/8 is .375 which is around 38%.
Hello there!
In this diagram, there are a total of 8 squares, and 3 of them are shaded. This means that 3/8 of them are shaded, and to find what percent this is, divide 3 by 8 and multiply what you get by 100.
3 divided by 8 = 0.375
0.375 x 100 = 37.5%.
37.5% is closest to 38%, so that is your answer!
I hope this helps and have a great rest of your day!
8 less than the product of a number n and 1/5 is no more than 95
Answer:
(n/5)-8≤95
Step-by-step explanation:
The solution for the given problem is : [tex]\( n \leq 515 \)[/tex].
Sure, let's solve the problem step by step.
Given: [tex]\( \frac{1}{5}n - 8 \leq 95 \)[/tex]
To solve for [tex]\( n \),[/tex] we'll first add 8 to both sides of the inequality:
[tex]\( \frac{1}{5}n \leq 95 + 8 \)[/tex]
[tex]\( \frac{1}{5}n \leq 103 \)[/tex]
Now, we'll multiply both sides by 5 to isolate[tex]\( n \)[/tex]:
[tex]\( 5 \times \frac{1}{5}n \leq 5 \times 103 \)[/tex]
[tex]\( n \leq 515 \)[/tex]
So, the solution is[tex]\( n \leq 515 \)[/tex]
In conclusion, the solution to the problem is [tex]\( n \leq 515 \)[/tex]. We reached this conclusion by carefully manipulating the inequality step by step to isolate [tex]\( n \).[/tex] This process ensures that our solution is accurate and follows the rules of algebra.
Complete question:
8 less than the product of a number n and 1/5 is no more than 95
Please help will give brainliest
If we have two functions [tex]f \ and \ g[/tex] such that [tex]f(g(x))=x[/tex] for every [tex]x[/tex] in the domain of [tex]g[/tex], and [tex]g(f(x))=x[/tex] for every for every [tex]x[/tex]in the domain of [tex]f[/tex]. If we prove this, then [tex]g[/tex] is the invers function of [tex]f[/tex] and denoted by [tex]f^{-1}[/tex]
1. We need to prove whether [tex]f(g(x))=x[/tex]. So:
[tex]f(x)=\frac{4}{5}x+1 \\ \\ g(x)=\frac{5x-5}{4} \\ \\ So: \\ \\ f(g(x))=\frac{4}{5}\left(\frac{5x-5}{4})+1 \therefore f(g(x))=\frac{4}{5}\left(\frac{5x-5}{4})+1[/tex]
[tex]\therefore f(g(x))=x-1+1 \\ \\ \boxed{f(g(x))=x}[/tex]
2. We need to prove whether [tex]g(f(x))=x[/tex]. So:
[tex]g(f(x))=\frac{5(\frac{4x}{5}+1)-5}{4} \\ \\ \\ g(f(x))=\frac{4x+5-5}{4} \\ \\ \\ g(f(x))=\frac{4x}{4} \\ \\ \\ g(f(x))=x[/tex]
Since [tex]f(g(x))=g(f(x))=x[/tex], then:
[tex]f(x) \ and \ g(x)[/tex] are inverses to each other.
If p varies directly as r and p=4,r=2,what the value of r when p=12
Answer:
r = 6
Step-by-step explanation:
Given that p varies directly as r, then the equation relating them is
p = kr ← k is the constant of variation
To find k use the condition p = 4, r = 2
k = [tex]\frac{p}{r}[/tex] = [tex]\frac{4}{2}[/tex] = 2
p = 2r ← equation of variation
When p = 12
12 = 2r ( divide both sides by 2 )
hence r = 6
a pool in the sape of a rectangle has a perimeter of 80 feet. the pool is 8 feet less wide than it is long. find the length and width of the pool
Answer:
Length: 28 ft Width: 12 ft
Step-by-step explanation:
So to solve this, we know that perimeter means the sum of all the lengths added together. And we can start by dividing 80 by 4.
80 ÷ 4 = 20
And now, the width must be eight feet less than the length, meaning we just subtract eight from the width, and add eight to the length.
20 - 8 = 12
20 + 8 = 28
L = 28
W = 12
And now we can double check:
12+ 28 + 12 + 28 = 80
Have a great day:)
A school determined that there is about a 33% chance that a student will choose a salad over a grilled chicken sandwich for lunch. Which simulation could you use to answer questions about the type of lunch students will choose?
A Monte Carlo simulation can be used to answer questions about the type of lunch students will choose.
Explanation:A simulation that could be used to answer questions about the type of lunch students will choose is a Monte Carlo simulation.
In this simulation, the probability of a student choosing a salad over a grilled chicken sandwich is represented by a random number generator.
Each time the simulation is run, a random number between 0 and 1 is generated, and if the number is less than or equal to 0.33, it is considered a salad choice. This process is repeated multiple times to generate a distribution of lunch choices.
By analyzing the distribution, you can estimate the likelihood of students choosing a salad over a grilled chicken sandwich.
Final answer:
A simulation to model the 33% chance of students choosing a salad over a grilled chicken sandwich could involve a random generator where the number 1 (out of 1 to 3) represents the choice of a salad, simulating the probability accurately.
Explanation:
To simulate the situation where there is a 33% chance that a student will choose a salad over a grilled chicken sandwich for lunch, you could use a simple random process to model this probability. You might simulate the choice by using a random number generator set to generate numbers from 1 to 3, where one of the numbers (say 1) represents choosing a salad, and the other two numbers (2 and 3) represent choosing a grilled chicken sandwich. Every time the number 1 comes up, it would count as a 'success', representing a student choosing a salad. You could run this simulation a large number of times to answer questions about the likelihood of various outcomes related to the students' lunch choices.
The expression on the left side of an equation is shown below. 3x+9= If the equation has no solution, which expression can be written in the box on the other side of the equation?
Answer:
12x
Step-by-step explanation:
add the numbers and then put the variable in front of it
Answer:
3*x
Step-by-step explanation:
Note that 3*x + 9 = 3*x if you choose to put the expression 3*x on the right side of the expression.
To solve this equation, you subtract 3 * x on both sides of the equation, obtaining:
3*x+9-3*x=3*x-3*x
9=0
You get 9 = 0. This expression cannot be true regardless of the value taken by x. You can tell then that in this case the equation has no solution.
Six less than what number is eighteen?
3
12
24
108
Answer:
24
Step-by-step explanation:
X - 6 = 18
Add 6 to both sides
x = 24
Answer:
the answer is 24
Step-by-step explanation:
Pls help me with my math brainliest and 20 points!!
Answer:
23 miles
Step-by-step explanation:
Substitute into the formula d = 3 s + 5
We know s = 6 so
d = 3 s + 5
d = ( 3 × 6 ) + 5
d = ( 18 ) + 5
d = 23
Hope this helps :)
Have a great day !
5INGH
Answer:
23 miles
Step-by-step explanation:
Substitute the numbers into d=3s+5.
d=(3×6)+ 5 (d=18+5)
18+5=23
A linear function includes the ordered pairs (2,5), (6,7) and (k,11). What is the value of k?
A)8
B)10
C)12
D)14
ANSWER
D)14
EXPLANATION
The linear function includes the ordered pairs (2,5), (6,7) and (k,11).
The slope of this line is the same for any two given points:
[tex] \frac{7 - 5}{6 - 2} = \frac{11 - 7}{k - 6} [/tex]
[tex]\frac{2}{4} = \frac{4}{k - 6} [/tex]
Cross multiply,.
2(k-6)=4×4
2(k-6)=16
Divide both sides by 2
k-6=8
k=8+6
k=14
Answer:
Option D will be the answer.
Step-by-step explanation:
y intercept form of a line is represented by y = mx + c
Where m = slope of the line and c = y- intercept of the line.
A line passing through two points (2, 5) and ( 6, 7) has the slope
m = [tex]\frac{y-y'}{x-x'}[/tex]
= [tex]\frac{7-5}{6-2}[/tex]
= [tex]\frac{2}{4}[/tex]
= [tex]\frac{1}{2}[/tex]
Equation will be y = [tex]\frac{x}{2}+c[/tex]
This line passes through (2, 5)
5 = [tex]\frac{1}{2}\times 2+c[/tex]
c = 5 - 1
c = 4
And the equation will be y = [tex]\frac{1}{2}x+4[/tex]
Since a point (k 11) passes through the line then we will plug in these values in the equation to find the value of k.
11 = [tex]\frac{1}{2}\times k+4[/tex]
11 - 4 = [tex]\frac{k}{2}[/tex]
7 = [tex]\frac{k}{2}[/tex]
k = 2×7
= 14
Option D will be the answer.
The circumference of a circle with a radius of 1 is 2π. Set up a proportion to find the circumference of a circle with a radius of 6.
Answer:
6 radius = 2π x 6
= 12π
Step-by-step explanation:
Circumference of a circle
C = 2πr
here r is radius of circle and 2π is constant is we can say that circumference of a circle is directly proportional to it's radius.
C ∡ r
Given in the question that circumference of a circle with a radius of 1 is 2π.
1 radius = 2π
6 radius = 2π x 6
= 12π
Which of the functions have period pi?
A.) y = tan x
B.) y = csc x
C.) y = cot x
D.) y = sec x
ANSWER
A.) y = tan x
C.) y = cot x
EXPLANATION
The period refers to the interval over which the graph completes one cycle
The trigonometric functions
[tex]y = \tan(x) [/tex]
and
[tex]y = \cot(x) [/tex]
are reciprocals of each other.
They have the same period, which is π
Also y=cscx and y=secx are reciprocals of the sine and the cosine functions respectively.
They have periods of 2π
For the bar graph, what is the total population surveyed?
A) 303
B) 3,030
C) 3,030,000
D) 303,000
Answer:A
Step-by-step explanation:
80+141+74+4+3+1=303
Answer:A) 303
Step-by-step explanation:
Complete the table, and make a graph showing the relationship between quarts and pints
Step-by-step explanation:
One quart equals to Two pints.
As a result to find the number of quarts that equal a certain number of pints you multiply number of quarts by 2
FORMULA= (P=Q×2)
1Q=2P
2Q=4P
3Q=6P
4Q=8P
7x+6(x+10)>5 (-3-3x)+3x
Answer:
[tex]\large\boxed{x>-3\to x\in(-3,\ \infty)}[/tex]
Step-by-step explanation:
[tex]7x+6(x+10)>5(-3-3x)+3x\qquad\text{use the distributive property}\\\\7x+(6)(x)+(6)(10)>(5)(-3)+(5)(-3x)+3x\\\\7x+6x+60>-15-15x+3x\qquad\text{combine like terms}\\\\(7x+6x)+60>(-15x+3x)-15\\\\13x+60>-12x-15\qquad\text{subtract 60 from both sides}\\\\13x>-12x-75\qquad\text{add 12x to both sides}\\\\25x>-75\qquad\text{divide both sides by 25}\\\\x>-3[/tex]