1) Let's find that out by setting a proportion.
4 5/6 hours
60 miles per hour
miles (distance) -----------------time elapsed
x 4 5/6 h
60 1
2) Let's turn that mixed number into an improper fraction to easily deal with it
\(4\frac{5}{6}=\frac{6\cdot4+5}{6}=\frac{29}{6}\)Setting the proportion:
\(\begin{gathered} \frac{x}{60}=\frac{\frac{29}{6}}{1} \\ \frac{x}{60}=\frac{29}{6} \\ 6x\text{ = 29}\cdot60 \\ x=290 \end{gathered}\)3) So Socorro traveled 290 miles
help me please i dont know how to do these
Answer:
97.34 sorry if this dones't help
Step-by-step explanation:
Answer:
48.67 feet²
Step-by-step explanation:
Formula for the area of a triangle: 1/2BH
15.7 x 6.2 = 97.34
97.34/2 = 48.67
Refer to the figure to the right.
(a) How many inches will the weight in the figure rise if the
pulley is rotated through an angle of 74° 50°?
(b) Through what angle, to the nearest minute, must the
pulley be rotated to raise the weight 5 in.?
9.61 in
(a) The weight in the figure will rise inches.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
a) The weight will rise about 13.142 inches if the pulley is rotated through an angle of 77° 50'.
b) So, to the nearest minute, the pulley must be rotated through an angle of 23° 40' to raise the weight 4 inches.
What is angle of rotation?In geometry, the angle of rotation refers to the amount of rotation of a geometric figure about a fixed point, usually the origin. It is the measure of the amount of rotation in degrees or radians.
Depending on the direction of rotation, the angle of rotation can be positive or negative. A positive angle of rotation represents a counterclockwise rotation, while a negative angle of rotation represents a clockwise rotation.
(a) To find out how many inches the weight will rise if the pulley is rotated through an angle of 77° 50', we need to use the formula for arc length:
arc length = r × θ
where r is the radius of the pulley, and θ is the angle of rotation in radians. To convert 77° 50' to radians, we need to convert the degrees to radians and add the minutes as a fraction of a degree:
θ = (77 + 50/60) × π/180
= 1.358 rad
Substituting r = 9.67 inches and θ = 1.358 rad into the formula for arc length, we get:
arc length = 9.67 × 1.358
= 13.142 in (approx)
(b) To find out through what angle the pulley must be rotated to raise the weight 4 inches, we can rearrange the formula for arc length to solve for θ:
θ = arc length / r
Substituting arc length = 4 inches and r = 9.67 inches, we get:
θ = 4 / 9.67
= 0.413 radians
To convert this to degrees and minutes, we can multiply by 180/π and convert the decimal part to minutes:
θ = 0.413 × 180/π
= 23.66°
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Is the relationship a linear function?(0,-1), (1,5),(2,11),(3,17)
Answer: Yes
Step-by-step explanation: x goes up by 1 each time and y goes up by 5 each time, making the function linear.
Is 83.77 an integer?
Answer:
It is not a integer, it is a rational number
Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!
Step-by-step explanation:
A baker can bake 90 cookies in half an hour. If she takes one hour for lunch and two 15 minute breaks during the day, how many cookies can she bake from 9am - 5pm?
Clear
Clear
990 1080 1260 1350 1170
Two computers each produced 43,000 public utilities bills in a day. One computer printed bills at the rate of 8,600 an hour and the other at the rate of 7,800 an hour. When the
first computer finished its run, how many bills did the other computer still have to print?
O 3300 O 26000 3900 O120004000
3 A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes. How many typewriters are required for a complete display?
015 045 036 020 011
On Monday a post office employee processed a batch of letters, on Tuesday she processed three times as many, and on Wednesday she processed 5,000 cards. In the 3 days she
processed 15,000 letters. How many did she process on Tuesday?
7,500 O 10,000 2,500 6,000 5,000
Clear
Clear
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Does this answer look right or I’m totally wrong please help !!! ASAP
Answer:
its 6 because if u look at 27 to 21 it is minuses by 6 and then 21 to 15 is also 6 and so in and so forth
Hi can you please help me, my grade is dependent on this question
Answer:
\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)
PLEASE HELP TEST!!! 40 POINTS Find the surface area of a square pyramid with base edges of 8 feet. The height of each lateral face is 9 feet. Explain or show how you got your answer.
Answer:
192
Step-by-step explanation:
V= a2 h/3= 8 2 . 9/3 = 192
search square pyramid
and put the height and base edges in (8 feet and 9 feet and you will get a better answer
2
1
-1
-2
Determine the period.
2 4
6 8 10 12 14
Acellus
According to the information we can infer that the period of the graph is 8.
How to determine the period of the graph?To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.
In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.
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If the standard deviation of shear strength measurements for spot welds is 9.5 pounds per square inch (psi), what is the minimum number of test welds that should be sampled if we want the sample mean to be within 1.4 psi of the true mean with probability approximately 0.99
Answer: 306
Step-by-step explanation:
Formula to find sample size:
\(n=(\dfrac{\sigma\times z^*}{E})^2\) , where \(\sigma\) = standard deviation, E = margin of error, z* = critrical z-value.
As per given,
\(\sigma=9.5 , E=1.4\)
Critical z-value for 99% confidence = 2.576
Now , the minimum sampl size :\(n=(\dfrac{9.5\times2.576}{1.4})^2\)
\(\Rightarrow\ n=305.5504\approx306\)
Hence, the required sample size = 306
If 2021 + x = 2020, then what is 3x + 1?
Answer:
Step-by-step explanation:
In order for you to add x to 2021 and get 2020, x has to be -1
2021 + (-1) = 2020
Then, you reapply the value of x to the new equation
3x + 1 now become 3(-1) + 1
3(-1) + 1 = -2
Hope it helps
convert 49% to a fraction
Answer:
To convert 49% to a fraction, we can simply write it as 49/100. This is because a percentage is a way of expressing a number as a fraction of 100. So 49% means 49 out of 100, which can be written as the fraction 49/100.
Answer:
49/100
Step-by-step explanation:
Percent means out of 100.
49%
49/100
A company doing marketing research finds that a 10 percent decrease in its product's price would create a 15 percent increase in the quantity demanded of its product.
1. Based on this information, demand for the company's product is
a. unit-elastic
b. perfectly inelastic
c. perfectly elastic
d. elastic
e. inelastic
2. Using this same information, the company should the price of its product.
a. not change
b. lower
c. raise
1. Based on this information, demand for the company's product is elastic.
2. Using this same information, the company should lower the price of its product.
Based on the given information, the demand for the company's product is elastic. This is because a small 10% decrease in the price of the product leads to a relatively larger 15% increase in the quantity demanded. This indicates that consumers are responsive to changes in the price of the product and the demand is sensitive to price changes.Using this same information, the company should lower the price of its product. This is because the elasticity of demand indicates that a decrease in price will result in a relatively larger increase in the quantity demanded, leading to an overall increase in revenue for the company. The company can take advantage of the price elasticity of demand to increase its market share and profitability by adjusting its prices accordingly.To learn more about elastic visit;
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Translate and solve: 24.67 is what percent of 129? Rounded to the nearest tenth of a percent.
Answer:
31.8
Step-by-step explanation:
24.67x129
=>31.82
=>31.8
Which angles below are equal to ∠CDB?
Answer:
(x) ∠CAB
Step-by-step explanation:
In ΔCOD and ΔBOA
\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)
Also,
∠COD = ∠BOA (vertically opposite angles)
⇒ ΔCOD and ΔBOA are similar
⇒ ∠CDO = ∠BAO
⇒ ∠CDB = ∠BAC
⇒ ∠CDB = ∠CAB
7. Kelly developed a formula for using a computer to find for a specific quote within a large set of articles.
The following function gives the length of the search, in seconds, over a set of n articles.
S(n) = 1.6 In (0.8n). What is the instantaneous rate of change of the search length for a set of 12 article:
Use correct units to explain the meaning of the answer.
instantaneous rate of change of the search length 0.1667 seconds per
How to find the instantaneous rate of change?We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.
Taking the derivative of S(n) with respect to n using the chain rule, we get:
S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n
Evaluating this expression at n=12, we get:
S'(12) = 2/12 = 0.1667 seconds per article
This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.
Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.
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A basketball player makes 40% of his shots from the free throw line. Suppose that each of his shots can be considered independent and that he throws 3 shots. Let x = the number of shots that he makes. What is the sample space for x?.
The probability of throwing 3 shots is 100% and the sample space is set of all possible real number.
Probability is the measure of the likelihood that a given event will occur. In this case, the event is a basketball player making a shot from the free throw line.
Since the player has a 40% success rate, we can calculate the probability of him making x number of shots, where x is the number of shots that he throws.
Since the shots are independent of each other, the sample space for x is the set of all possible numbers of shots that he can make, from 0 to the total number of shots (3 in this case).
Therefore, the sample space for x is {0, 1, 2, 3}, which means that the player has a 0% probability of making 0 shots, a 40% probability of making 1 shot, an 80% probability of making 2 shots, and a 100% probability of making all 3 shots
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William leaves his home at 15:03 and walks for 12 minutes to Euston station.
He spends 4 minutes buying a ticket and then catches the next train to Bletchley.
What time will he arrive at Bletchley?
Train timetable
Euston
14:49 15:18 15:29
14:52
15:32 15:35
Harrow
Watford 15:01
15:30
15:41 15:44 16:11
Hemel
15:39 15:50
15:53
16:20
Tring
15:31
16:00
Q
16:14 16:41
Bletchley 15:47
16:16
16:30
Bedford 15:54 16:23 16:34 16:37 17:04
15:32 15:59
*Answer*
15:47
Step-by-step explanation:
He left; 15:03
Walk for; 12mins
Spends extra;4min
So by my side,
I'll sum up those values we're having to find the total time that was spent
12+4= 16mins
So, at that time when he reached at the station it was 15:19 when we add those extra mins
And so I think it'll 15:47
My thought told me so though
Each of 5 students reported the number of movies they saw in the past year. This is what they reported.
20, 15, 6, 5, 18
Find the mean and median number of movies that the students saw.
If necessary, round your answers to the nearest tenth. Mean: _movies
Median: _movies
Answer:
Step-by-step explanation:
For the mean you add all the numbers up and divide it by how many numbers there are (hence why it's the meanest!)
For the median you need to arrange the number in order of value/size and fine the middle number
The blue segment below is a radius of 0. What is the length of the diameter
of the circle?
Given that,
The radius of the circle, r = 7.3 units
To find,
The diameter of the circle.
Solution,
If r is the radius of the circle, then its diameter is given by the relation as follows :
d = 2r
Put the value of r.
d = 2(7.3)
= 14.6 units
So, the diameter of the circle is 14.6 units. Hence, the correct option is (A).
Select the two expressions equivalent to 25 .
Answer: 2 primes 1 disinct
Step-by-step explanation:
Help me out with the answer!!!!!!
Answer:
Adjacent
Step-by-step explanation:
Answer:
Opposite
Step-by-step explanation:
Hope this helped!
Dean and Lisa both found deals online for movie tickets. Dean bought 4 movie tickets for $39.80. Lisa bought 6 movie tickets for $46.50. How much more did Dean pay per ticket than Lisa?
Answer:
2.20
Step-by-step explanation:
What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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.......... do it now? Can't I do it later?
a) I've to
b) Have I
c) Do I have to
d) Should I
Answer:
d
Step-by-step explanation:
You are asking a question trying to suggest whether it can be done later
50 + 100n where n = 2
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
I need help converting 19/4 into a decimal.
Answer:
4.75!
Step-by-step explanation:
What Did the Baby Porcupine Say
When It Backed Into a Cactus?
each
Answer:
As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give call to its mother.
Step-by-step explanation
He said hi Ma.