The reasonable amount to pay for 10 gallons of gasoline and 2 quarts of oil will be $27.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil.
Now,
Since, A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil.
Hence, We get;
The cost of 10 gallons of gasoline = 10 × $2.29
= $22.9
And, The cost of 2 quarts of oil = 2 × $1.89
= $3.78
So, The total cost = $3.78 + $22.9
= $26.68
≈ $27
Thus, The reasonable amount to pay for 10 gallons of gasoline and 2 quarts of oil will be $27.
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3. Find the slope of the line passing through the points (-4,-8) and (2,-8)
2. Find the slope of the line passing through the points(6,6) and (6,-4)
Answer:
2. undefined
3. 0
Step-by-step explanation:
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
3.
( x1, y1 ) = ( - 4, - 8 )
Here,
x1 = - 4
y1 = - 8
( x2, y2 ) = ( 2, - 8 )
Here,
x2 = 2
y2 = - 8
Slope = ( - 8 - ( - 8 ) ) / ( 2 - ( - 4 ) )
= ( - 8 + 8 ) / ( 2 + 4 )
= 0 / 6
Slope = 0
2.
( x1, y1 ) = ( 6, 6 )
Here,
x1 = 6
y1 = 6
( x2, y2 ) = ( 6, - 4 )
Here,
x2 = 6
y2 = - 4
Slope = ( - 4 - 6 ) / ( 6 - 6 )
= - 10 / 0
Slope = not defined
Note : -
Any number who denominator is 0 is undefined.
In what base does 126 + 26b = 410?
The base, b, is ___ (Type a whole number.)
Answer:
11
Step-by-step explanation:
I subtracted 126 from 410 and got 284 then I divided 16 from 284 and got 11
Find x (in degrees) in the following quadrilateral.
Answer:
x = 110°
Step-by-step explanation:
The sum of the interior angles in a quadrilateral is 360°. This means:
x + x + x - 30 + 1/2x + 5 = 360° - we can simplify this
3 1/2x - 25 = 360° - now add 25 to both sides
3 1/2x = 385 - finally divide both sides by 3 1/2
x = 385 ÷ 3.5 = 110
x = 110°
Hope this helps!
Assume that when human resource managers are randomly selected, 41% say job applicants should follow up within two weeks. If 8 human resource managers are randomly selected, find the probability that at least 4 of them say job applicants should follow up within two weeks.
Using the binomial distribution, it is found that there is a 0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.
For each manager, there are only two possible outcomes. Either they say job applicants should follow up within two weeks, or they do not say it. The opinion of a manager is independent of any other manager, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
n is the number of trials.x is the number of successes.p is the probability of a success on a single trial.In this problem:
41% say job applicants should follow up within two weeks, thus [tex]p = 0.41[/tex]8 managers are selected, thus [tex]n = 8[/tex].The probability that at least 4 of them say job applicants should follow up within two weeks is [tex]P(X \geq 4)[/tex], which is given by:
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.41)^{0}.(0.59)^{8} = 0.0147[/tex]
[tex]P(X = 1) = C_{8,1}.(0.41)^{1}.(0.59)^{7} = 0.0816[/tex]
[tex]P(X = 2) = C_{8,2}.(0.41)^{2}.(0.59)^{6} = 0.1985[/tex]
[tex]P(X = 3) = C_{8,3}.(0.41)^{3}.(0.59)^{5} = 0.2759[/tex]
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0147 + 0.0816 + 0.1985 + 0.2759 = 0.5707[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.5705 = 0.4295[/tex]
0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.
A similar problem is given at https://brainly.com/question/25166697
Prove that the difference between 9th square number and 5th square number is a multiple of 8?
Answer:
Step-by-step explanation:
9th square number = 81
5th square number=25
81-25=56
56 is a multiple of 8 as 8 x 7=56
How many pints of blood does a person have for every 14 lbs of body weight?
Answer:
1 pint(of blood) for every 14 lbs of weight
Step-by-step explanation:
Answer:
One pint.
Step-by-step explanation:
A person has approximately one pint of blood for every 14 pounds of body weight.
Hope this helps! :D
PLEASE HELP
How would Newton’s second law of motion impact the fitness routine of someone who is significantly overweight? Is there any type of fitness activity that a significantly overweight person could do where Newton’s second law of motion would not be a factor?
Answer: The rate of change of momentum of a body over time is directly proportional to the force applied and occurs in the same direction as the applied force.
We can write the law as:
Where F is a force, and P is the momentum.
Remember that the momentum is defined as the quantity of motion, such that:
P = M*V
Where M is the mass of the moving object and V is the velocity of the moving object.
Or we can write the second law as:
F = M*a
M = mass
a = acceleration
Happy To Help ;)
Step-by-step explanation:
Lesson Check (5.NBT.B.7)
1. What multiplication sentence does the model
represent?
Modeling the box representation Mathematically can be done using the multiplication sentence 0.06 × 4 = 0.24
The entire box has 100 holes ;
Each shading takes up 6 boxes which is 6/100 of the entire box ; Area per shading :
6/100 = 0.06The number 6 set shading represented on the box = 4
The multiplication model :
Area per shading × number of shaded set0.06 × 4 = 0.24
Therefore, the multiplication sentence which represents the model is 0.06 × 4 = 0.24
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Jina,tony, and Henry have a total cost of $70 in their wallets. Tony has 2 times what Henry has. Henry has $10 more than Jina. How much do they have in their wallets?
Answer:
Jina has $10,
Tony has $40,
and Henry has $20
Step-by-step explanation:
So if we use a little bit of algebra, let's say
Jina's amount = a.
Henry has $10 more than Jina, so that would make Henry's amount: a + 10. Tony has two times more dollars than Henry, so multiply Henry's amount
(a + 10) by 2, and you get: 2(a + 10).
Here's to make things easier on the eye for you:
Jina's amount = a
Henry's amount = (a + 10)
Tony's amount : 2(a + 10)
Next, form an equation by adding each of the three's amounts together:
Jina's amount + Henry's amount + Tony's amount
= a + (a + 10) + 2(a + 10)
= a + a + 10 + 2a + 20
(add the a's together and the numbers together. Then, put the total amount, $70, on the other side of the equation)
4a + 30 = 70
(subtract 30 from both sides of the equation: 4a + 30 - 30 = 70 - 30)
= 4a = 40
(and now, simplify by dividing by 4)
a = 10
Substitute 10 for a:
Jina: a = $10
Henry = (a + 10) = (10 + 10) = $20
Tony = 2(a + 10) = 2(10 + 10) = 2(20) = $40
Add them all up if you want to check if its correct:
$10 + $20 + $40 = 70$ ✔
Sorry if this explanation was a bit long, I hope you understand ^^.
Help if so OMH thanks
Answer:
$2.80
Step-by-step explanation:
24.40-13.20=11.20
11.20/4=2.8
Click on photo for question!
please help need this done by tomorrow thank you [PHOTO]
Answer:
31
Step-by-step explanation:
sum of the bordering angles is 180° so
(5x-16) + (x+10) = 180
5x - 16 + x + 10 = 180
6x - 6 = 180
6x = 186
x = 186 ÷ 6
x = 31
Answer:
The answer is x=31.
5x-16+x+10=180
6x-6=180
6x=186
x=31
Then, 5(31)-16=
155-16= 139
Also, x+10=
31+10=41
Solution check:
139+41=180, so x=31 is correct.
A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The poll counted 5 million SUV’s. How many of the vehicles did they look at in total?
Answer:
20 million
Step-by-step explanation:
5 million SUVs are 25% of the total number of vehicles.
0.25x = 5,000,000
x = 20,000,000
Answer: 20 million
The question is an illustration of proportions.
A total of 20 million vehicles were looked into
The proportions are given as:
[tex]SUV = 25\%[/tex]
[tex]Trucks= 10\%[/tex]
Let the total number of vehicles be v.
The number of SUVs is given as 5 million.
So, we have:
[tex]SUV = 25\% \times v[/tex]
Substitute 5 million for SUV
[tex]5\ million= 25\% \times v[/tex]
Express the percentage as decimal
[tex]5\ million= 0.25 \times v[/tex]
Divide both sides of the equation by 0.25
[tex]20\ million = v[/tex]
Rewrite the equation as
[tex]v =20\ million[/tex]
Hence, 20 million vehicles were looked into
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If the formula is D=M/V and we know D=2.70 and V=60 how to we solve for M?
Answer:
d=140
v=60
140.60=8400 its m
The picture shows a sandwich box:
A sandwich box is shown with a right triangle side. The right triangle has hypotenuse 14 cm and base 12 cm.
What is the approximate minimum height of a shelf in which this box can fit in the position shown in the pi
Answer:
the answer is 7.2 cm
Step-by-step explanation:
14^2 is 196
12^2 is 144
196 - 144 = 52
square root of 52 = 7.2
also i did FLVS & got it right lol
A stereo is marked down $75. If this is a 15% decrease, what was the original price for the stereo?
5+55+55+55+55+55+55+55+55+55+55+55+5/0=free
Answer:
Thanks man
Step-by-step explanation:
Answer:
thx
Step-by-step explanation:
2
Solve for :
WIN
(x - 4) = 2x. (1 point)
O
o
Answer:
D. X=-2
Step-by-step explanation:
can you help please i beg you guys
Answer:
Mr. Pandya's class has 12 boys and 18 girls.
Mr. Chapman's class has 5 girls and 25 boys.
Step-by-step explanation:
need help with number 8 please
Is this correct or not I have been stuck for 30 min I'm exhausted lol
Answer:
Absolute maximum is (3, 7)
Absolute minimum is (1, 1)
Step-by-step explanation:
Absolute maximum is the point in a graph where the highest point is marked, in this case the graph is highest at (3, 7).Absolute minimum is where the lowest possible point is marked, in this graph, it's marked at (1, 1)Answer:
The absolute maximum values are --> x = 3 and y = 7
The absolute minimum values are --> x = 1 and y = 1
help please?
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 13 fl oz per hour. How fast was the pipe leaking in gallons per day?
17 21 14 17 12 15 16 mean
Answer:
17+21+14+17+12+15+16 / 7 and the answer is 16
Step-by-step explanation:
STEP N0#1 add all the data/ numbers together
STEP NO#2 divide the sum you got by the number of data points/ number
the number you get after dividing is the mean
The graph of y=f(x) is shown below. find all the values of x where f(x)=4
f(x) = 4 means "y=4".
If you draw in y=4 as a line on the graph, you're looking for points where the f(x) graph hits y=4. (see picture below)
This happens at one point and the x-value of that point is -2.
-2 is the only x-value where this happens.
A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets costs $1.50 and the volunteer has $75 to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.
ACTUALLY WRITE AN INEQUALITY ASAP 20 points guarenteed
Answer: 1.50x-75=10
Step-by-step explanation: they have $60 dollars because 10 times 1.50 is $15 so they have $60 to spend on blankets
Please help
Ignore the first 2 questions please
Answer:
12
Step-by-step explanation:
Waterfalls to Canoes = 6 units
-4 to +2 = 6Canoes to Fishing Area = 6 units
-2.5 to +3.5 = 6Total = 6+6 = 12
help me asap!!!!!!!!
Answer:
Answer A
Step-by-step explanation:
Alt Interior angles make two angles parallel
if y varies inversely as x, when y=20 and x=2 find the equation for y. then, find y when x=4
Answer:
the equation for y=20=1/2
Step-by-step explanation:
y=1/4
y=0.25
Carl shades a row in the multiplication table the products in the row are all even the ones digits in the products repeat 0,4,8,2,6 what road does Carl shade?
Answer:
Carl shades the 4s row in the multiplication table.
Step-by-step explanation:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48. This is the pattern 4, 8, 2, 6, 0, 4, 8, 2, 6, etc.
The test will have 25 questions. Each question will be worth
3 marks each. How many marks will the test be out of?
Answer:
75 marks
Step-by-step explanation:
one question worth 3 marks
so 25×3=75