Answer:
135
Step-by-step explanation:
3+5=8. 360÷8=45. 45×3=135
If the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, then there are 225 trucks
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of cars to trucks in the parking lot is 3:5.
there are 360 vehicles in the parking lot
(360-x)/x=3/5
Cross Multiplication
5(360-x)=3x
1800-5x=3x
1800=8x
x=225
So there are 225 trucks.
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A ball is launched upwards from a height of 4 feet. The ball’s height as a function of time, in seconds, is modeled by the function h(t)= -16t^2 +80t +4. What is the time interval in which the ball has a height greater than 100 feet?
Answer:
Between 2 & 3 seconds. Or we can write it as 2<t<3
Step-by-step explanation:
t = elapsed time in seconds
h(t) = height of the ball at time t
So we just need to replace h(t) with 100 and start to solve. In the end, the answer will be t=2, or t=3 or we can write it as 2<t<3. You can check it by plugging in the number into the equation.
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be more than 59 pounds _________.
a) 0.1003
b) 0.3997
c) 0.6003
d) 0.8997
e) 0.0003
Answer:
A: 0.1003
Step-by-step explanation:
We are given;
Population mean; μ = 56.8
Population size; n = 51
Population standard deviation; σ = 12.3
We want to find; P(x > 59)
We will use the z-score formula.
z = (x - μ)/(σ/√n)
z = (59 - 56.8)/(12.3/√51)
z = 1.28
From z-distribution table attached, we have; P(z < 1.28) = 0.8997
Thus;
P(z > 1.28) = 1 - 0.8997 = 0.1003
Solve the system by substitution.
-2y = x
7x+9y = -45
Answer:
9
Step-by-step explanation:
substitute the value
Look at this triangle.
B
13 cm
A
8 cm
Work out length BC.
Using the Pythagorean theorem:
BC = sqrt(13^2 - 8^2)
BC - sqrt(169 - 64)
BC = sqrt(105)
The exact dimension is sqrt105
If it needs be be in decimal format, sqrt(105) = 10.24695
39 decreased by a number p
Answer:
mm
Step-by-step explanation:
I don't know sooorryy
(4x3−12x2−5)−(−8x2+4x+3)=
find the difference
Answer:
4x³ - 4x² - 4x - 8
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
(4x³ - 12x² - 5) - (-8x² + 4x + 3)
Step 2: Simplify
Distribute negative: 4x³ - 12x² - 5 + 8x² - 4x - 3Combine like terms (x²): 4x³ - 4x² - 5 - 4x - 3Combine like terms (Z): 4x³ - 4x² - 4x - 8help please with number 2 help please thank you
Answer:
He will save $300
Hope this helps
let m>0. match each inequality with its graph. Explain your reasoning.
Answer:
a. C
b. A
c. B
d. D
Step-by-step explanation:
[tex]a.\ \ \frac{x}{m} < -1 \Longleftrightarrow x < -m[/tex]
Then
The graph that represents the inequality is C.
[tex]b.\ \ \frac{x}{m} > 1 \Longleftrightarrow x > m[/tex]
Then
The graph that represents the inequality is A.
[tex]c.\ \ \frac{x}{m} < 1 \Longleftrightarrow x < m[/tex]
Then
The graph that represents the inequality is B
[tex]d.\ \ -\frac{x}{m} < 1 \Longleftrightarrow -x < m \Longleftrightarrow x > -m[/tex]
Then
The graph that represents the inequality is D.
2y − 7x + 4x2 + 3y + 7x
A 4x2 − 14x + 5y
B 4x2 − 14x
C 4x2 + 14x + 5y
D 4x2 + 5y
Answer:
5y + 8
Step-by-step explanation:
[tex]f(x) = - 2(x - 4) ^2 + 6[/tex]
what is the vertex of this function ?
Answer:
x = 4
Step-by-step explanation:
x = 4 is the vertex of the function.
This is a negative quadratic equation and the vertex is the zero of the function. We set (x - 4) equal to 0 and solve.
x - 4 = 0
x = 4
Your bedroom wall is 150 inches wide. You want to hang two posters, each 27 inches across, with an equal space between each poster and the wall edges.
How many inches of space should you leave between the wall edge and each poster?
Answer:
32
Step-by-step explanation:
let the space be x
x + 27 + x + 27 + x = 150
3x + 54 = 150
3x = 96
x= 32
identify the k-value that makes the relationship shown in the table below proportional.
Answer:
The value of k that makes the relationship shown in the table below proportional is [tex]\mathbf{\frac{1}{2}}[/tex]
Step-by-step explanation:
The relation is proportional if [tex]y=kx \:or\:k=\frac{y}{x}[/tex]
Putting values of x and y to find k.
For x =2 and y =1 k is: [tex]k=\frac{y}{x}=\frac{1}{2}[/tex]
For x =4 and y =2 k is: [tex]k=\frac{y}{x}=\frac{2}{4} =\frac{1}{2}[/tex]
For x =6 and y = 3 k is: [tex]k=\frac{y}{x}=\frac{3}{6} =\frac{1}{2}[/tex]
For x = 8 and y = 4 k is: [tex]k=\frac{y}{x}=\frac{4}{8} =\frac{1}{2}[/tex]
For x =10 and y = 5 k is: [tex]k=\frac{y}{x}=\frac{5}{10} =\frac{1}{2}[/tex]
So, The value of k that makes the relationship shown in the table below proportional is [tex]\mathbf{\frac{1}{2}}[/tex]
You are facing North. Turn 90 degrees left. Turn 180 degrees right. Reverse the direction. Turn 90
degree left Reverse the direction. In which direction are you facing now?
E. East
F. West
G. North
H. South
Answer:
i believe that it's north
please help me asap
Answer:
2 5/18
Step-by-step explanation:
It's the last choice
Tessa returned a book to the library 16 days
late. If she was charged $0.35 per day,
what was the total fine?
Answer:
5.60
Step-by-step explanation:
Answer: $5.60
Step-by-step explanation:
Given:
Tessa did not return her book for 16 daysThe fee per day was $0.35We must find:
The total cost after 16 daysLet t = total cost.
We will multiply 0.35 by 16 to get the answer.
t = 5.60What is the Decimal equivalent for fraction 4/8
Answer:
I hope this helps you
Step-by-step explanation:
4/8 = 0.5
Morgan is visiting a city and wants to take a taxi. The driver tells Morgan that they charge per kilometer and
shows this table describing their cost:
The amount it would cost Morgan to travel 13 km is £32.5
Calculating CostFrom the question, we are to calculate how much it would cost Morgan to travel 13 km
From the given table, we have that
The cost of traveling 5 km is £12.50
and
The cost of traveling 10 km is £25
First, we will determine the cost of traveling 1 km
If the cost of traveling 5 km is £12.50
Then,
The cost of traveling 1 km will be £12.50/5
£12.50/5 = £2.5
The cost of traveling 1 km is £2.5
Now,
If the cost of traveling 1 km is £2.5
Then,
The cost of traveling 13 km will be 13 × £2.5
13 × £2.5 = £32.5
Hence, the amount it would cost Morgan to travel 13 km is £32.5
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which formula represents a substance that contains covalent bonds 1) LiCl 2)CaCl2 3)K2O 4)CO2
Answer:
It is CO2 Number 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
i have no question x = 2. apples
Answer:
ok
Step-by-step explanation:
................................................
Ed is a mid segment for this triangle solve for X
I will give a brainless if a kind human being could answer this problem and explain it this is due in 15 mins and I’m confused :(
I will give a Brainlist also :)
Answer:
Step-by-step explanation:
What you are being told is that 3x - 7 is twice as big as x. You can see that because ST (for example) is cut into 2 equal parts. So is UT (cut into two equal parts). So the parts of the Big Triangle (SUT) are twice as Big as the parts of the small triangle DET
So multiply x by 2
3x - 7 = 2x Add 7 to both sides
3x - 7 + 7 = 2x + 7
3x = 2x + 7 Subtract 2x from both sides
3x-2x = 7
x = 7
ANHL player's labor negotiating committee is to be selected from 8 player representatives from the Eastern Conference and 7 player representatives from the Western Conference. Find the probability of selecting 3 Eastern Conference representatives and 2 Western Conference representatives.
a. 1/ 3003
b. 1/3
c. 56/143
d. 140/429
Answer:
21 / 143
Step-by-step explanation:
Given that:
Number of Eastern conference reps = 8
Number of western conference rep = 7
Probability of selecting 3 from Eastern reps and 2 from western reps
Probability = required outcome / Total possible outcomes
Total possible outcomes:
selection to be made = 3+ 2 = 5
Total Number of players = 8 +7 = 15
Total possible outcomes
Using combination formula :
nCr = n! / (n-r)!r!
15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003
Total possible outcomes = 3003
Required outcome :
8C3 * 7C2
8C3 = 56 ; 7C2 = 21
8C3 * 7C2 = 56 * 21 = 1176
required outcome / Total possible outcomes
= 1176 / 3003
= 21 / 143
Using the hypergeometric distribution, it is found that the probability is:
c. 56/143
The players are selected from the sample without replacement, hence, the hypergeometric distribution is used.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 15 representatives, hence [tex]N = 15[/tex]8 are from the Eastern Conference, hence [tex]k = 8[/tex]Sample of 5, hence [tex]n = 5[/tex].The probability is P(X = 3), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,15,5,8) = \frac{C_{8,3}C_{7,2}}{C_{15,5}} = 0.3916[/tex]
For which the equivalent fraction is option c.
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Evaluate the expression 6³
Answer:
6 to the power of 3 means your base number is 6 and the 3 is how many times you multiply 6 by itself (6×6×6). the answer is 216
Suppose that the weather forecast indicates a 10% chance that cold weather will reduce the citrus grower’s profit from $100,000 to $85,000 and a 10% chance that cold weather will reduce the profit to $75,000. Should the grower spend $5000 to protect the citrus fruit against the possible bad weather?
Answer:
We can think in this situation as:
There is 10% (or a probability equal to 0.1) where the citrus grower's profit will be reduced by $15,000
There is 10% (or a probability equal to 0.1) where the citrus grower's profit will be reduced by $25,000
And in the remaining 80% (or a probability equal to 0.8), the profit does not change.
Then the expected value for the total profit can be written as:
EV = $100,000 + ( 0.1*(-$15,000) + 0.1*(-$25,000) + 0.8*$0)
= $96,000
In the case where the citrus grower spends $5000 to protect the fruits against possible bad weather, there is a 100% that is profit will not change, but he must pay $5,000
Then his profit will be:
P = $100,000 - $5,000 = $95,000
So in this case, the profit is $1000 less than the expected profit in the prior case. So the scenario where he does not buy the protection has a larger expected profit, which may mean that is better to not buy it (in a straight mathematical point of view)
One also could think that the values are really close together, so buying the protection does not mean a big change, and increases the security
7= -10s-3 Solve the equation
Answer:
s = 1
Step-by-step explanation:
7 = -10s - 3
=> 7 + 3 = 10s
=> 10 = 10s
=> 10/10 = s
=> 1 = s
Answer: s= -1
Step-by-step explanation:
the part of width 4 metre is surrounded inside a Square Garden of length 60 m find the area of the path
Incomplete question. Repost the complete problem.
QUESTION 4 of 10: It is estimated that 32 patrons will attend an event for every $100 spent in advertising. If tickets cost $75, how much can a
promoter expect to increase sales if he spends $25,000 in advertising?
Answer:
$575000Step-by-step explanation:
Spend on advertising = $25000
32 patrons per $100
Number of patrons:
25000/100×32 = 8000Sales amount:
8000×$75 = $600000Increase in sales excluding advertisement cost:
$600000 - $25000 = $575000Answer:
$600,000
Step-by-step explanation:
$25,000 / 100 then 250 x 32 then 8,000 x 75 to get $600,000
A rectangle has a length of 3 1/4 feet and a width of 1 1/3 feet. What is the area of the rectangle?
Answer:
the answer is simple 4 1/3
Step-by-step explanation:
you can support me with brainliest
Answer:
13/3 or 4 1/3
Step-by-step explanation:
area of rectangle = length * width
3 1/4 feet as an improper fraction is 13/4
1 1/3 feet as an improper fraction is 4/3
length * width
13/4 * 4/3
= 13/3 or 4 1/3
Step 3: Estimate the Volume of Each Regularly Shaped Ball
Estimate the volume of each ball. Use the formula
4
V== πr³
where Vis the volume and r is the radius. Record the
volumes in Table A of your Student Guide.
What is the estimated volume of the table tennis ball
cm³
What is the estimated volume of the golf ball?
cm³
estimated Volume of tennis ball by given data = 38.808 .
estimated Volume of golf ball by given data = 33.523 .
WHAT IS SPHERE ? HOW TO FIND ITS VOLUME ?In terms of geometry, a sphere is described as a collection of points that are spaced apart by a specific amount. The supplied point is referred to as the sphere's center, and the given distance from the sphere's center to the collection of points that make up the sphere is referred to as the sphere's radius.
Many everyday things, including balls and globes, are spheres. Finding a sphere's radius and entering it into the straightforward formula V = [tex]\frac{4}{3}[/tex]π [tex]r^{3}[/tex] will allow you to determine its volume.
CALCULATIONGiven: The radius of the tennis ball is 2.1cm and the radius of the golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .
To find: Volume of tennis ball and golf ball .
Formula used: V = [tex]\frac{4}{3}[/tex]π [tex]r^{3}[/tex] .
pi(π) =[tex]\frac{22}{7}[/tex] .
We are given that
Radius of the tennis ball = 2.1 cm
radius of the golf ball =2.0 cm.
We need to find the volume of each ball
So , plugging the given values of radius in above formula
Volume of the tennis = [tex]\frac{4 * 22 * (2.1)^{3} }{3 * 7}[/tex] = 38.808 [tex]cm^{3}[/tex]
On simplification we get, volume of tennis ball = 38.808 [tex]cm^{3}[/tex]
Volume of the golf ball= [tex]\frac{4 * 22 * (2.0)^{3} }{ 3*7}[/tex] = 33.523[tex]cm^{3}[/tex]
On simplification we get, volume of golf ball = 33.523[tex]cm^{3}[/tex]
∴ The volume of tennis ball = 38.808[tex]cm^{3}[/tex]
Volume of golf ball = 33.523[tex]cm^{3}[/tex]
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Find the equation for the line graph below
Colin buys a tv
for £800.
It depreciates at a rate of 4% per year.
How much will it be worth in 3 years?
Give your answer to the nearest penny where appropriate.
The amount of the tv in 3 years which depreciates at a rate of 4% per year is £708 .
Compound interest is interest calculated on the principal and the interest accrued in previous periods. It differs from simple interest where interest is not added to the principal when calculating interest for the next period. In mathematics, compound interest is usually represented by C.I.If the interest is compounded annually, then amount is given by [tex]A=P(1+\frac{r}{100} )^t[/tex] where " A " = Amount , " R " = annual interest rate , "T" = number of years , " P" is principal amount .
We have given principal amount = £800 , rate = 4% and time = 3 years .
Putting above values in equation (1) , we get
[tex]A=800(1-\frac{4}{100} )^3\\A= 800(1 -0.04)^3\\A=800(0.96)^3\\A=800\times 0.88\\A= \£707.78[/tex]
Note that the minus sign is due to depreciation .
On rounding off , amount will be £708 .
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