Answer:
Step-by-step explanation:
d/t=mph
Billy's friend's house is 20 miles away from him.
What is Speed?
The ratio of the distance travelled by an object to the time required to travel that distance.
Given that when Billy moves with his normal speed, it takes 40 min for him to reach his friend's house and if he slows his speed to 20 mph he takes 2 hours to reach the same distance.
We know, Speed = Distance/time
Let x be Billy's normal speed,
Therefore, 2x/3 = 2 (x - 20)
2x/3 = 2x - 40
x = 3x - 60
x = 30
Therefore, Billy's normal speed is 30 mph
Distance covered by him = 2 (30 - 20) = 20 mi
Hence, Billy's friend's house is 20 mi far.
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5
8. The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class.
Years of service Frequency
1-5
6-10
20
11-15
25
16-20
10
21-25
5
26-30
The required class widths are 3, 8, 13, 18, 23 and 28
Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:
[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]
The width of each class is calculated by taking the midpoints of each of the class intervals as shown:
For the class interval 1 - 5
width = 1+5/2 = 3
For the class interval 1 - 5
width = 6+10/2 = 8
For the class interval 11 - 15
width = 11+15/2 = 13
For the class interval 16 - 20
width = 16+20/2 = 18
For the class interval 21 - 25
width = 21+25/2 = 23
For the class interval 26 - 30
width = 26+30/2 = 28
Hence the required class widths are 3, 8, 13, 18, 23 and 28
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12. A shoebox has a volume of 456 cm3 and a mass of 114 g. What is its
density?
Answer:
114.0g/538.5cm^3=0.2117 glcm^3
Step-by-step explanation:
Linda has 28 jackets 7 of them so it have a cap write 2 ratios that compare the number of jackets without caps to the number of jackets with caps?
Answer: (5/12)m
Step-by-step explanation: hope this helps (～﹃～)~zZ
on donne A(-1,2). Determiner les coordonnées du point B tel que AOB soit un triangle direct,rectangle et isocèle en O.
Answer:
donald trump
Step-by-step explanation:
anybody pls with the answer
Answer:
1:10
Step-by-step explanation:
So 1 meter is equal to 100 centimeters, so when only asking for 10cm, it is 1/10th of the whole of a meter, so the ratio is 1:10
A;nswer:
10:1
Step-by-step explanation: meter is a hundred centimeters so,
100:10
simplify
10:1
A warehouse stores thousands of marble slabs of different shapes, sizes, and materials that are used for construction projects. The manager wants to estimate the average weight of these slabs. The slabs are arranged in stacks that have about101010 slabs of different varieties. The manager wants to weigh a random sample of100100100 slabs.Why might the manager choose a cluster random sample instead of a stratified random sample in this setting?
Answer: Both B and C
B. It will probably be easier to weigh heavy slabs that are stacked together rather than pulling out some slabs from different stacks.
C. Each stack has a variety of slabs, so choosing all of the slabs in some of the stacks should represent the population fairly well.
Step-by-step explanation:
B. By weighing entire stacks, the manager would only need to retrieve, weigh, and return about 101010 units. By weighing fewer slabs per stack, there are many more steps in the process and it is more complicated to track where to return the weighed slabs.
C. If each stack reflects the variety in the population, then choosing the stacks as clusters is a good way to get a sample that looks like the population.
Solve pls brainliest
Answer:
The answer is 60%
Step-by-step explanation:
To solve that, just divide 24 by 40
24 ÷ 40 = 0.6
Now turn 0.6 to fraction.
0.6 = 60%
plz help??????????????????????
Answer:
Step-by-step explain
i did not do the 1 and 2 srry
Find the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20
Answer:
1/3 + 1/12 = 5/12
Step-by-step explanation:
Take a look on the picture
There are the solutions
to get the correct answer
Hope it helps
#LetsStudy
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20 is 5/12.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of 3/5 and 5/9 is,
Product = 3/5 × 5/9
= (3×5)/(5×9)
= 15 / 45
= 1/3
The product of 5/9 and 3/20 is,
Product = 5/9 × 3/20
= (5×3)/(9×20)
= 15 / 180
= 1/12
Now, the sum of the two products can be done as shown below,
Sum = 1/3 + 1/12
= 4/12 + 1/12
= (4+1)/12
= 5/12
Hence, the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20 is 5/12.
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Write the recursive and explicit formulas for the given sequence 4, 7, 10, 13
recursive formula: explicit formula:
a,1 = a,n =
a,n =
Answer:
the answer to your question is 45 over 6
Answer:
45/6 or simplified 15/2
Step-by-step explanation:
There are 150 fish in total. The ratio of goldfish to betta fish is 2:3. How many goldfish are there?
(Please help me I’m nearly crying cause I can’t answer this question. )
Answer:
60 goldfish
because there is a ratio of 2 gold fish to 3 Betta fish you can cross multiply with 2/5 and x/150 to find the number of goldfish. you can also check the answer because 60 goldfish would leave 90 Betta fish. the ratio of 60:90 can be simplified to a ratio of 2:3
Help I need a helping hand
A boat travels at a rate of 30 miles per hour for 3.5 hours. Let y be the distance, in miles, the boat travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?
Question 11 options:
0≤y≤30
0≤y≤3.5
0≤x≤3.5
0≤x≤30
Answer:
Step-by-step explanation:
Recall that distance = (rate)(time). Here the rate is 30 mph and the time 3.5 hr. The distance traveled is proportional to the time passing by. The graph of the distance function is a straight line with slope equal to the "rate" named above:
d(x) = (30 mph)x
Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.
Help Me in my Math Thanks :)
Answer:
Step-by-step explanation:
Asked: How many square tables are needed to place 100 pupils?
Given: Square table each has 4 pupils to sit
operation : Multiplication, subtraction, Division
Solve:
Number of pupils in 9 rectangular tables = 9*8 = 72 pupils
Remaining pupils = 100 - 72 = 28
Number of square table needed =28 ÷ 4 = 7
7 square tables are needed.
PLEASE CAN SOMEONE ANSWER THIS, THANKS
Suppose a charity received a donation of $24.1 million. If this represents 29% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.
Answer:
$83 million
Step-by-step explanation:
29% of the charity's donated funds.
$24.1 million = donation
Let x = the total amount of donated funds
29/100 • x = 24.1
x = 24.1 • 100/29
x = 83.10
=83
Hope this helps :)
-3/-4 in simplest form
3/4
a double negative equals a positive
Answer:
3/4 is your answer
Step-by-step explanation:
solve pls brainliest
A triangle has angles with the following measures: (x2 + 34)°, (6x + 4)°, and (10x + 10)°. Solve for x. show all work please
Answer:
[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840
Step-by-step explanation:
All the angles of a triangle add up to 180°, so we can solve this using the following equation:
180 = (x^2 + 34) + (6x + 4) + (10x + 10)
180 = x^2 + 34 + 6x + 4 + 10x + 10
Now, let's combine like terms:
180 = x^2 + (6x + 10x) + (34 + 4 + 10)
180 = x^2 + 16x + 54
Subtract 180 from both sides:
0 = x^2 + 16x - 126
And solve using the quadratic formula:
[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]
And we can approximate this as a decimal, if needed:
x = 5.7840
PLEASE SOMEONE EXPLAIN THIS I HAVE NO CLUE WHAT THIS MEANS OR WHAT THE ANSWER IS
What is the domain of this function?
(-3, -7)
(-8, 8)
(10, 1)
(9, 4)
(7,-4)
(-6, -9)
Answer:
-8,-6,-3,7,9,10
PLEASE HELP FAST (ALL OF THEM PLESE)
Estimate 98.46 multiply 4.11
400
350
450
200
Answer:
400
Step-by-step explanation:
98.46 = 100
8 is closer to 10 than 0
4.11 = 4
1 is closer to 0 than 10
100 x 4 = 400
The choir needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser.
Answer:
The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.
Step-by-step explanation:
i just did that question like 3 mins ago lol
For every 20 penguins at the North Pole there are 9 polar bears. If you encountered 27 polar bears, how many penguins would you expect to see?
Answer:
60 penguins
Step-by-step explanation:
We need to find out how many times 9, the number of polar bears for every 20 penguins, was multiplied by, so that we can multiply 20 penguins by the same amount.
27/9 = 3
20*3 = 60
Answer: 60
Step-by-step explanation:
The ratio is 20:9. If you times both sides by 3, you will get 60:27, which means 60 penguins per 27 polar bears.
PLEASE HELP I WILL MARK BRANLIEST
Prove triangles below congruent by SSS, SAS, AAS, ASA, or HL. If not congruent choose NC. (multiple choice)
ASA
HL
NC
SSS
AAS
SAS
Answer:
SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
1
message
Two friends went bowling. One friend scored 130 points and the other friend scored 83 points. How does the value represented by the 3 in 130 compare to the value represented by the 3 in 83?
It is 3 times greater
It is 10 times greater
It is 47 times greater
It is 50 times greater
Answer:
10x greater
Step-by-step explanation:
Two friends let’s say their names are
Molly Polly
130 points 83 points
Molly‘s 3 in her 130 is is the tens place
here a chart: ones Tens. Hundreds. thousands.
1265 1265. 1265. 1265
now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater
hope this helped :3
:3 byeeeeeeeeee
Brian invests £7500 into his bank account.
He receives 6% per year compound interest.
How many years will it take for Brian to have more than £10000?
Answer:
5 years
Step-by-step explanation:
Gabriel was out at a restaurant for dinner when the bill came. His dinner came to $20. After adding in a tip, before tax, he paid $23. Find the percent tip.
Answer:
Step-by-step explanation: I think it is three percent
Answer: 15%
i attached a picture below with an explanation
HELP ME PLEASE PLEASE ILL MARK BRAINLIEST
Answer:
its 5
Step-by-step explanation:
I know this because you just need to find the opposite integer and then that make s a zero pair and then you get 5
If the simple interest on $4,000 for 5 years is $1,400, then what is the interest rate?
Answer:
7%
Step-by-step explanation:
5 years= $1,400
1 year= 1,400/5= 280
$280 is ?% of $4,000
(280/4000)*100
so, 7%
Hope this helps!
6-5/8=
(5/8 is just like that but slanted)
Answer:
43/8 or 5 and 3/8
Step-by-step explanation:
This is because if you find the lcd, its 24. 36/6, or 6, in 24 is 144/24.
5/8 is 15/24.
144/24-15/24 is 129/144, which simplified is 43/8, or 5 and 3/8
Part A
Fill in the blank question.
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.
Complete each statement.
There are actually __________counties.
The amount of error in Pedro's estimate is____________.
Listen to the complete question
Part B
Fill in the blank question.
What is the percent error in Pedro's estimate? Round to the nearest tenth percent.
percent error: ___________%
Answer:
254 in the first blank
Step-by-step explanation:
There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.
Given that
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.
There are actually 254 counties.
The amount of error in Pedro's estimate is 4.
Now we need to find percent error in Pedro's estimate.
4/254×100
=0.0157×100
=1.574%
Hence There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%
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