The distance Janessa traveled on the new tires with the given size is 26,470.25 miles.
The given parameters:
Original size of the tire, = P230/85R18The width of the smaller tire, = 230 mmAspect ratio, = 85%Larger size of the tire, = P250/85R21The width of the larger tire, = 250 mmAspect ratio, = 85%Reading of the odometer = 23,425 milesThe diameter of the smaller tire is calculated as follows;
[tex]0.85 = \frac{h}{230} \\\\h = 0.85 \times 230 \\\\h = 195.5 \ mm\\\\h = 195.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 7.7 \ in[/tex]
diameter of the smaller tire;
D = 2(7.7 in) + 18 in
D = 33.4 in
The circumference of the smaller tire;
[tex]C_1 = \pi D\\\\C_1 = 3.142 \times 33.4 \\\\C_1 = 104.94 \ in[/tex]
The diameter of the larger tire is calculated as follows;
[tex]0.85 = \frac{h}{250} \\\\h = 0.85 \times 250 \\\\h = 212.5 \ mm\\\\h = 212.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 8.37 \ in[/tex]
diameter of the larger tire;
D = 2(8.37 in) + 21 in
D = 37.74 in
The circumference of the larger tire;
[tex]C_2 = \pi D\\\\C_2 = 3.142 \times 37.74 \\\\C_2 = 118.58 \ in[/tex]
After one rotation, the larger tire will travel the following distance more than the smaller tire;
[tex]n = \frac{C_2}{C_1} = \frac{118.58}{104.94} = 1.13[/tex]
The distance Janessa traveled on the new tires when her odometer shows she has traveled 23425 miles;
[tex]distance = 1.13 \times 23,425\\\\distance = 26,470.25 \ miles[/tex]
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A line with a slope of 8 goes through the point (2, 27). It also goes through the point (-2,p). What is the value of p?.
Answer:
The value of p is -5.
Step-by-step explanation:
Given the slope and a known point, you have 3 of the 4 variables and you can use them to solve for the y-intercept of the line.
[tex]y=mx+b\\(27)=(8)(2)+b\\27=16+b\\11=b\\b=11[/tex]
Now, with the slope and the y-intercept, you can write the equation of the line:
[tex]y=8x+11[/tex]
Finally, you can use that equation to solve for y at x = -2:
[tex]y=8(-2)+11\\y=-16+11\\y=-5[/tex]
The value of p is -5.
You can also see that on a graph.
when rolling a die what is the probability of getting a number greater than 0
Answer:
100%
Step-by-step explanation:
Numbers on a die are 1,2,3,4,5,6 which are all greater than zero, so the probability is 6/6 or 100%.
A monkey is swinging from a tree, on the first swing, she passes through an arc of 10 m. with each swing she passes through an arc 9/10 the length of the previous swing. what is total distance the monkey has traveled when she completes her 25th swing
Answer:
≈ 92.821 m
Step-by-step explanation:
For a geometric series with initial value a and rate r, the sum after n terms can be represented by
a*(1-r^n)/(1-r)
Here, we know a = 10 (the first swing), r = 9/10 because the second swing was 9/10 of the first swing, meaning we multiply the first swing by 9/10 to get the second swing, and n = 25. Plugging these values in, we get
10 * (1-0.9^25)/(1-0.9) ≈ 92.821 m
whats b + 29 + 12b + 5b² if b = -3
Answer:
215
Step-by-step explanation:
-3+29+12(-3)+5(-3)[tex]^{2}[/tex]
If16 = x/20, then x=
Answer:
320
Step-by-step explanation:
16 × 20 = 320
To double check it, we insert 320 into the equation:
320 ÷ 20 = 16
When a guy says he cheated just to let the world know what does he mean?
Twenty young men got a quote for the cost of a car insurance policy. The policy cost and ages of the men are shown in the scatter plot. The
equation for the line of best fit for the data is y=-315.67x + 8986.5 and the correlation coefficient is-0.951.
Select all the statements that are true based on the scatter plot and line of best-fit equation
4,000
3,500
...
3,000
2.500
,,
2,000
1,500
1,000
18
19 20
21 22 23 24 25
D. The line of best fit indicates that, in general, the cost of a car insurance policy for a 21-year-old should be on average, about $315
less than the cost of a car insurance policy for a 20-year-old.
06 The y-intercept from the line of best fit indicates that, if the linear trend holds, a car insurance policy would be 50 for a person who
is about 8,987 years old.
OcEvery 19-year-old in this group has a lower cost of car insurance than the 18-year olds
Od
The value of the correlation coefficient is very close to -1, so there is no association between age and car insurance policy cost.
Car insurance policy cost tends to decrease as the age of the driver increases.
e
The statements that are true based on the scatter plot and the given equation of line of best-fit are:
In general, the line of best fit indicates that, the cost of a car insurance policy for a 21-year-old should be on average of about $315 less than the cost of a car insurance policy for a 20-yr-old.Car insurance policy cost tends to decrease as age of driver increases.Given that the correlation coefficient of -0.951, it suggests that the policy cost and ages of the men as shown in the scatter plot are strongly negatively correlated.
This means that, the lower the higher the age of the men, the lesser the cost of a car insurance policy.
The slope value in the equation, y = -315.67x + 8986.5, is -315.67, which is the average cost of a car insurance policy per year.
Therefore, the statements that are true based on the scatter plot and the given equation of line of best-fit are:
In general, the line of best fit indicates that, the cost of a car insurance policy for a 21-year-old should be on average of about $315 less than the cost of a car insurance policy for a 20-yr-old.Car insurance policy cost tends to decrease as age of driver increases.Learn more about line of best fit on:
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Identify the five-number summary of the following data se
7. 11. 21. 28, 32, 33, 37, 43
Minimum value = 12
Maximum value = 37
snumber of observations = 10 (even)
Median = Mean of middle most terms
Middle most terms = 22, 25
Median ={22+25}{2}=23.5222+25=23.5
I need help with this math problem
Step-by-step explanation:
that is just a complicated way to ask, at what values of x is the functional value infinite ? or directly, for what values of x is the denominator of that fraction 0 ?
it is zero, if just one of the 3 factors is 0.
and that would happen for
x = 0
x = -6
x = 1
so, A, D and E are correct.
Evaluate.
16÷(2+1/2)2
(the 2 at the end is a 1 half to the 2 power)
PEMDAS, notice Parentheses is first, then Exponents 2nd
[tex]16\div\left(2 + \left( \frac{1}{2} \right)^2 \right)\implies 16\div\left(2 + \left( \frac{1^2}{2^2} \right) \right)\implies 16\div\left(2+\frac{1}{4} \right)[/tex]
now that the exponent got done, let's keep in the parentheses
[tex]16\div\left(\frac{2}{1}+\frac{1}{4} \right)\implies 16\div\left(\cfrac{8+1}{\underset{\textit{using this LCD}}{4}} \right)\implies 16\div \left( \cfrac{9}{4} \right)[/tex]
PEMDAS, after all that we'll do D, Division next
[tex]16\div \left( \cfrac{9}{4} \right)\implies \cfrac{16}{1}\div \cfrac{9}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{9}\implies \cfrac{64}{9}\implies 7\frac{1}{9}[/tex]
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this just some addition to your previous posting, since you kinda got spammed some
[tex]\stackrel{\stackrel{\textit{E first}}{\downarrow }}{2^3}+4\cdot 2-7\implies 8+4\cdot 2-7\implies 8+\stackrel{\stackrel{\textit{M second}}{\downarrow }}{8}-7\implies \stackrel{\textit{AS last from left to right}}{16-7\implies 9}[/tex]
notice, PEMDAS, P first and so on, AS are last, from left to right.
Negative 4 squared + (5 minus 2) (negative 6)
Answer:
-2
Step-by-step explanation:
A fabric store sells close-out fabrics for $2.14 a yard. A customer buys 8 yards of fabric. How much does the customer pay for the fabric? Show your work.
Answer:
$17.12
Step-by-step explanation:
2.14 · 8 = 17.12
Find the slope.
y = 3x – 11
m =[?]
you know that y=mx +c then in the place of m is 3 then answe is also three.
There are 12 students in a class, and 7 of them will be chosen to go on a field trip. How many ways can
these students be chosen?
Answer:
So we will use combinations, as it does not matter what order they get chosen in.
The combinitoric that you will plug in to your calculator is: nCr(12,7)
Therefore, the answer is 792
Does each relation represent a function? Choose Yes or No.
(1, 3), (2, 5), (2, 7), (4, 9)
(1, 3), (2, 5), (3, 7), (4, 9)
(1, 3), (1, 5), (1, 7), (1, 9)
(1, 3), (2, 3), (3, 3), (4, 3)
Answer:
No, Yes, No, Yes
Step-by-step explanation:
A function is where each input (the first value in the ordered pair) only has one output (the second value in the ordered pair)
1.
List of inputs: 1, 2, 2, 7
List of outputs: 3, 5, 7, 9
For the input value of 2, there is more than one output. 2 is mapped to both 5 and 7, so this is not a function
2.
Inputs: 1, 2, 3, 4
Outputs: 3, 5, 7, 9
Each input only has one output, so this is a function
3.
Inputs: 1, 1, 1, 1
Outputs: 3, 5, 7, 9
For the input value of 1, there is more than one output. 1 is mapped to 4 values, so this is not a function
4.
Inputs: 1, 2, 3, 4
Outputs: 3, 3, 3, 3
Each input is only mapped to one output, so this is a function
y=x^2 translate 4 units down and 3 units left
Answer: Hello! When a graph is translated 4 units down you are moving all of the y values. This makes it the easiest translation that we do, other than no translation! All you have to do is subtract 4. Your equation is y=x2 - 4. If you wanted to move the graph up it is addition and if you want to move it down it is subtraction. When you translate right to left it is more complicated! Hope this helps. :))
Three Numbers are in the ratio of 2:3:7. What is the largest number if the sum is 288
Answer:
2x + 3x + 7x = 288
12x = 288
x = 24
The largest number is therefore 7 * 24 = 168
Step-by-step explanation:
I Was Not That Day On College, I Don't Have The Formulas To Study
Answer:
check online for more information
The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week. About how many gallons of milk does the class drink in 10 weeks? Round your answer to the nearest tenth of a gallon if needed.
262.5 gallons of milk does the class drink in 10 weeks.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week.
as, we know that
1 pint= 0.125 Galloon
So, 210 pints milk = 210 x 0.125 = 26.25 Galloon
Then, In 10 weeks amount of milk drink
= 26.25 x 10
= 262.5 Gallon
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Daniel made 32 ounces of soup for 5 people. How many ounces will each person get?
Answer:
6.4 ounces
Step-by-step explanation:
If there are 32 ounces total, you can divide the total by the number of people to get the amount of soup each person gets.
32 / 5 = 6.4
Answer: If there's a remainder, then it's 6 with a remainder of 2
If it's a decimal (depends on what grade your sister's in), it's 6.4
If it's a fraction (again, depends on what grade your sister's in), it's 6 2⁄5
Step-by-step explanation:
32÷5=6r2, 6.4, or 6 2⁄5
Determine whether f(x) = 5x^2-20x+ 3 has a maximum or a minimum value and find that value.
PLEASE HELP I’ll mark brainliest
Answer:
Answer in the attachment, as it wasn't letting me answer it, saying rude words.
what is 2 equivalent fractions of this 2/5=_=_
Answer:
4/10, 6/15, 120/300, etc.
Equivalent fractions can be anything, as long as they divide to .4 (2/5).
Basically any equivalent fraction
[tex]\frac{2*n}{5*n}[/tex]
with n as any integer, is an equivalent fraction to 2/5 since
[tex]\frac{2*n}{5*n}=\frac{2}{5}*\frac{n}{n}=\frac{2}{5}*1=\frac{2}{5}[/tex]
A system of two linear equations has infinitely many solutions. The first equation is y=5x+3. What is the value of p in the second equation if the second equation is represented by 10x–2y=p?
p=
Answer:
Step-by-step explanation:
How do you solve this
Answer:
x > 3
Step-by-step explanation:
And then, I believe you just need to solve that answer. But I'm not sure tho
HELP!!!! If you help me with this you’ll be my favorite person ever
Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sad—cries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.
As darkness came on, the hunting-cries to right and left and rear drew closer—so close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.
At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:
"I wisht they'd strike game somewheres, an' go away an' leave us alone."
"They do get on the nerves horrible," Henry sympathized.
They spoke no more until camp was made.
Read this line from the story:
As darkness came on, the hunting-cries to right and left and rear drew closer, ...
What is the purpose of this sentence in the story? (5 points)
It implies a mood of utter despair.
It implies a near tragic event.
It creates a feeling of being trapped.
It creates a sense of action. I AM GIVING 50 POINTS!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
The problem with this kind of question is that the author tells you what you should see in that sentence. The dogs experienced fear. Any other answer you suggest is not what the author means. So you are guessing. It is adding to the notion that the arctic is not a friendly place and you cannot go sunbathing in and be comfortable in the middle of winter.
A is as good an answer as you are likely to get, but I don't think it's right.
You are on level ground in the late afternoon. The Sun is at angle of elevation of 17 degrees. A tree casts a 206-foot long shadow feet. What is the height of the tree in the nearest foot
[tex]\\ \sf\longmapsto tanC=\dfrac{AB}{BC}[/tex]
[tex]\\ \sf\longmapsto tan17=\dfrac{AB}{206}[/tex]
[tex]\\ \sf\longmapsto AB=0.3(206)[/tex]
[tex]\\ \sf\longmapsto AB=61.8ft[/tex]
An average 1-year-old baby boy weighs around 9.6 kilograms. Convert this
weight into ounces.
Answer:
338.63 ounces
Step-by-step explanation:
1=35.274
35.274 times 9.6 is 338.6304
help i dont know how to do the rest of this homework
Answer:
Step-by-step explanation:108 divided by 12 equals 9 so nine feet next to 108 inches.
and nine divided by 3 is 3 so nine yards in the row with 108 inches.
360 divided by 12 which is 30 so 30 feet in the row with 360 inches.
90 feet divided by three so 30 so 30 yards in the row with 360 inches.
24 inches equals 2 feet
double this length is 48 inches or 4 feet
so in all he cut 6 yards and since he only had three yards you will still have 3 yards left over.
Marco buys a wooden board that is 12 feet long. The cost of the board is $1.25 per foot, including tax. What is the total cost, in dollars, of Marco's board?
The cost of the length of wood Marco buys depends on the price of the wood.
The total cost in dollars of Marco's board is $15
Reasons:
The length of the wooden board Marco buys (quantity) = 12 feet
The cost of the board per foot, including tax (price) = $1.25
Let x represent the percentage of the tax applied to the total cost, and let y represent the cost before tax, we have;
Cost per foot, C₁ = 1.25 = y + x·y
The cost of 12 feet of the wooden board is given by the proportional relationship between cost, price and quantity as follows;
Cost = Price × Quantity
The cost of 12 feet of the wood is therefore;
Cost of 12 feet, C₁₂ = 12 × y + 12 × x·y = 12 × (y + x·y) = 12 × $1.25 = $15
The cost of 12 feet of wood = $15
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