Answer:
It takes them 30/11 hours to paint them together.
Step-by-step explanation:
This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:
[tex]Tom: R_{T}*6=1\\Huck: R_{H}*5=1[/tex]
We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:
[tex]Tom: R_{T}=\frac{1}{6}\\Huck: R_{H}=\frac{1}{5}[/tex]
Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):
[tex](\frac{1}{6} +\frac{1}{5})*T=1\\\\T*(11/30)=1 , T = 30/11[/tex]
Therefore, the time it takes them to paint the fence together is 30/11 Hours
Answer:
The number of hours it will take them to paint the fence is 2.7 hours.
Step-by-step explanation:
Given:
Tom can paint Mr. Thatcher's fence in 6 hours, while Huck can paint Mr. Thatcher's fence in 5 hours.
Find:
the number of hours it will take them to paint the fence
Step 1 of 1
Determine their work rates, and then add them.
In particular, Tom can paint [tex]$\frac{1}{6}$[/tex] of a fence per hour, and Huck can paint [tex]$\frac{1}{5}$[/tex] of a fence per hour.
So, together they can paint [tex]$\frac{1}{6}+\frac{1}{5}=\frac{11}{30}$[/tex] of a fence per hour. Therefore, the time to paint the whole fence is [tex]$\frac{1 \text { fence }}{\frac{11}{30} \text { fences per hour }}=\frac{30}{11}$[/tex] hours
[tex]$=2 \frac{8}{11} \text { hours, }$$[/tex] or a little over 2.7 hours.
15. The total mass of 6 similar bags of salt is 4.5 kg. What is the mass of each bag of salt rounded to 1 decimal place? Give the answer in kilograms.
Answer:
0.7kgStep-by-step explanation:
Total mass of the bags of salt = 4.5kgnumber of bags of salt = 6To find the mass of each bag of salt, we divide the total mass by the number of salt bags we have which is 6Therefore 4.5 ÷ 6 = 0.75 KgMass of each bag of salt = 0.75 Kg0.75Kg rounded to ONE decimal place = 0.7 KgHope this helps.Good luck ✅.Find the answers for the frequency and relative frequency tables below.
PLEASE ANSWER ALL 3 QUESTION, thank you
Write the percent as a decimal.
15. 166%
PLEASE HELP ASAP REALLY EASY
79.04/___=9.5
3.6 + 5.7 + __=17.024
56.89 - ___=2.001
8.7 x __ =16.2
356/__=3.56
5.0168+___=25
3.90800 - ___=0.15
___+0589=14
One of the angles in a right triangle is 20°. A median, an angle bisector, and a height are all drawn from the right angle.
a)Find the angle measure between the median and angle bisector.
b)Find the angle measure between the angle bisector and the height.
Answer: I would say A
Step-by-step explanation: The reason I say A is because One to find the angle you have to add( Okay I'm in 8th grade and My brain is slow so please don't judge) but maybe try adding and doing division? I'm not sure
Determine whether it’s a change in increase or decrease then find the person, make sure to ROUND to nearest whole percent:
ALSO THE ANSWER IS NOT 182%
1994 cost: $171.33 and 1995 cost: $201.59
Answer:
it is 82%
Step-by-step explanation:
send help asap 20 points
(if your confident please go answer the other questions im going to post after this each one will be 20 pointed added)
Essentially, we are being asked to find the unit rate. We want to figure out how many dollars it costs to buy 1 yard of fabric.
$10 : 8 yards
---Divide both values by 8
$1.25 : 1 yard
Hope this helps!
7.6.3. A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo. For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap. How many leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time?
Answer:
The number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time is 30 times.
Step-by-step explanation:
Given:
A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.
For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap.
Find:
the number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time
Step 1 of 1
The kangaroo gains 5 feet on every leap.
The kangaroo must gain 150 feet total,
so it must jump [tex]\frac{150}{5}=30$[/tex] times to catch the rabbit.
Kangaroo needs 30 leaps to make to catch up to the rabbit if the two animals always leap at the same time.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.
For every 12 -foot leap of the kangaroo,
the rabbit makes a 7 -foot leap.
Let n be the number of leaps.
According to the question:
We have the equation.
To solve for x;
12x = 7x + 150
12x - 7x = 150
5x = 150
x = 150/5
x = 30
Therefore, the Kangaroo needs 30 leaps to catch the rabbit.
To learn more about the equation;
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If data for the topics below were collected and displayed in a frequency table, which topic would most likely need to be shown in intervals?
(A) favorite food
(B) heights of trees
(C) eye color
(D) foot length of newborn babies
PLEASE HELP!!!!!
One of the angles in a right triangle is 20°. A median, an angle bisector, and a height are all drawn from the right angle.
a)Find the angle measure between the median and angle bisector.
b)Find the angle measure between the angle bisector and the height.
Answer: B. Find the angle measure between the anle bisetor and the height step-by-step explanation:
I my self dont really want to learn mysef i just get awnsers from here i know most of yall do the same so no step by step
8.42 Three bags of jelly beans contain 26,28 , and 30 beans. In each bag, the percent of the beans that are yellow is 50%, 25%, and 20%, respectively. All three bags of candy are dumped into one bowl. What percent of the beans in the bowl are yellow? Round your answer to the nearest integer.
Answer:
Step-by-step explanation:
Figure out the number of yellow beans in each bag:
Bag A: 0.5*26 = 13 beans
Bag B: 0.25*28 = 7 beans
Bag C: 0.2*30 = 6 beans
The total number of beans in the bowl: 26+28+30 = 84
Total number of yellow beans: 13+7+6 = 26
Percentage of yellow beans: 26/84 *100 = 30.9523
Rounded answer: 31%
Answer:
The percentage of yellow beans in the bowl of 84 is approximately 31%.
Step-by-step explanation:
We are given with a word problemWe are asked to find the total percentage of yellow jelly beans We can do this two stepsStep 1: Finding the number of yellows beans in each bags
Step 2: Finding the total percentage of yellow beans
Step 1 of 2
We are given that the three bags contain 26,28 and 30 beans totally in which the percent of yellow beans are 50%, 25% and 20% respectively.
We have to find the number of yellow beans in each bag.
[tex]$=\frac{50}{100} \times 26$$[/tex]
The number of yellow beans in first bag
[tex]$$\begin{aligned}&\frac{1}{2} \times 26=13 \\&=\frac{25}{100} \times 28\end{aligned}$$[/tex]
The number of yellow beans in second bag
[tex]$$\begin{aligned}&\frac{1}{4} \times 28=7 \\&=\frac{20}{100} \times 30 \\&\frac{1}{5} \times 30=6\end{aligned}$$[/tex]
The number of yellow beans in third bag
Step 2 of 2
From the first step we got the number of yellow beans in each bags.
The total number of yellow beans in the bowl =13+7+6
The total number of beans in the bowl
[tex]$$\begin{aligned}=26 &+28+30 \\=& 84 \\&=\frac{26}{84} \times 100\end{aligned}$$[/tex]
The percentage of yellow bean in the bowl
[tex]$$\begin{gathered}\approx 0.3095 \times 100 \\\approx 0.31 \times 100 \\\approx 31\end{gathered}$$[/tex]
7. 1 bag of beans weighs 0.7 lb. What is the weight in pounds of 2.5 bags of beans?
Write the percent as a decimal. 8. 55%
Answer:
0.0855
hope this is helpful!
Circle the correct option: A, B, C, or D.
3. A box of 24 churros cost $25.50. What is the cost of one churro correct to 2 decimal places?
A $1.04
B $1.06
C $1.07
D $1.05
Answer:
B
Step-by-step explanation:
24 = $25.50
1 = x
cross multiply
$25.50/24 = 24x/24
$1.0625 = x
2 decimal places = $1.06
What expression is equivalent to the algebraic expression 3(-2x-1)?
Answer:
-6x-3
Step-by-step explanation:
distribute the 3 by multiplying it with the -2x and the -1
2 ACTIVITY: Estimating a Whole
Work with a partner. Use a model to estimate the answer to each question.
c. 110 is 20% of what number?
f(x)=(5x+3)(x−2)(3x+7)(x+5) has zeros at x = -5, x = -7/3, x = 2
What is the sign of f on the interval -7/3 < x < -3/5?
The sign of f on the interval -7/3 < x < -3/5 is always positive.
How to solve for the sign on the intervalWe have the equation
(5x+3)(x−2)(3x+7)(x+5) > 0
Now when f(x) > 0
Then -7/3 < x < -3/5
This would tell us that the sign would become positive when it changes from the less than to greater than sign
Complete Questionf(x)=(5x+3)(x-2)(3x+7)(x+5) has zeros at x=-5, x=-7/3, x=-3/5, and x=2
What is the sign of f on the interval -7/3<x<-3/5?
answer choices
f is always positive on the interval
f is always negative on the interval
f is sometimes positive and sometimes negative on the interval
f is never positive or negative on the interval
Read more on polynomials here:
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8.3.4 Karl bought five folders from Pay-A-Lot at a cost of $2.50 each. Pay-A-Lot had a 20% -off sale the following day. How much could Karl have saved on the purchase by waiting a day?
Answer:
Karl could have saved $2.50
Step-by-step explanation:
Cost of folders without the sale: 2.5*5 = $12.50
Cost of folders with the sale: 0.8*2.5 = $2 per folder * 5 folders = $10.00
Difference between prices: 12.5-10 = $2.50
Answer:
2.50$ Karl could have saved on the purchase by waiting a day.
Step-by-step explanation:
Given: total number of folders Karl bought is 5 .
The cost of each folder is 2.50$.
20% off sale the following day at Pay-A-Lot.
we have to find the 20% of each folder and then add them to get the final saving of Karl if he had waited for a day.
Step 1 of 2
20% of 2.50$ is equal to
[tex]$$\begin{aligned}&=2.50 \cdot 20 \% \\&=2.50 \cdot \frac{20}{100} \\&=0.50 \$\end{aligned}$$[/tex]
this is the amount Karl would save on each folder if waited for a day or this is the discount on the amount of 2.50$ that the shopkeeper will give the next day on each
Step 2 of 2
Karl bought 5 folders
so, total savings would be equal to
[tex]$$\begin{aligned}&=5 \cdot 0.50 \\&=2.50 \$\end{aligned}$$[/tex]
Write A story that could represent This problem 2/6 x 3/4
Answer:
Bob at the store
Step-by-step explanation:
Bob is at a store and wants to buy a banana, last time he checked it costed 2/6 of a dollar. Now it costs 3/4 times more.
On a snowy day 85% of the students of Wilson high school were present. If 572 of the students were present, how many students were enrolled at the school?
Answer:
673
Step-by-step explanation:
okay so uh this is my way and the answer works so like yea teachers dont show like this but ii figured this works
okay so
85/100 = 572/?
so if you divide 85 by 85 its gonna equal 1 and 1 times 100 is gonna be 100
useing the same concept, it should be the same with 572 , but instead of divideing by 572, divide by 85.
basically 572/85
okay now thats gonna give you 6.72941176471 thats vasically 1% of the population.
so multiply 6.72941176471 * 100
so now you have
672.941176471 and you can round this to 673 kids.
and you know its right since 85% of 673 is 572.05 and you can sound to 572
Answer:
673 students
Step-by-step explanation:
Divide the number of students who applied and the decimal of the percentage they represent.
85% = 85/100 = 0.85
572/.85 = 673
Hope this helps
18. LOGIC A person surveys residents of a town to determine whether a skateboarding ban should be overturned.
a. Describe how the person could conduct the survey so that the sample is biased toward overturning the ban.
Answer:
go to a skatepark
Step-by-step explanation:
Answer:
Thus, conducting the survey so that the sample is biased toward overturning the ban is to increase the number of people not favoring the skateboarding ban in comparison to people who are favoring the ban.
Step-by-step explanation:
Given:
A survey regarding the decision on banning skateboarding
To find:
how the poll may be conducted in such a way that the sample is skewed in favor of reversing the prohibition
Explanation:
A reasonable sample is
● selected at random,
● representative of the population, and
● large enough to provide accurate data.
While taking the sample, the number of people who are not favoring the ban on skateboarding should be increased in comparison to the number of people who are in favor of the ban. Doing so will result in a biased sample indicating that majoring of people do not want to ban skateboarding as the sample is projecting a majority who are against the ban instead of favor the ban.
You randomly choose one of the tiles above. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event.
22. Choosing a red tile and then a vowel
Answer:
none
Step-by-step explanation:
Compare these three ratios using fractions.
3 to 2 5:6 8 to 12
Think about the steps you could take to compare the ratios using fractions.
The first step is to write the ratios as fractions.
The next step is to use a
to rewrite the fractions.
Finally, compare the
to help you order the ratios.
Answer:
i think it would be greatest common factor
Step-by-step explanation:
A camera usually sells for $68. Because it was slightly damaged, it sold for $59.90, what was the rate of the discount to the NEAREST PERCENT?
Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p).
8.37 Sale prices at the Ajax Outlet Store are 50% below original prices. On Saturdays, an additional discount of 20% off the sale price is given. What is the Saturday price of a coat whose original price is $180?
Answer:
Given:
Sale prices at the Ajax Outlet Store are 50% below the original prices. On Saturdays, an additional discount of 20% off the sale price is given.To find:
The Saturday price of a coat whose original price is $180.The formula used to calculate the percentage is (value/total value)*100%.
Step-by-step explanation:
Step 1 of 2
The original price of coat = $180
Ajax always sells at 50% discount
So their sale price = $90
Step 2 of 2
On Saturdays they sell 20% less
Which implies-
1/5*90 = 18
90-18=72
They sell at $72 on Saturday.
8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games and lost 2 , to finish the season having won 65% of their games. How many games did the Unicorns play during the season?
Hint: Assign a variable.
Answer:
The total number of games won by Unicorn is 40.
Step-by-step explanation:
We are given with a word problemWe are asked to find the number of unicorns played during the seasonWe can do this in two stepsStep 1: Finding the win percentage
Step 2: Finding the number of unicorns played during the season
Step 1 of 2
Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is [tex]$\frac{60}{100} \times(x-10)$[/tex]
Combining the 8 games we get,
[tex]$$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$$[/tex]
Step 2 of 2
The unicorn totally won 65% of the games played.
That is [tex]$\frac{65}{100} \times x=0.65 x$[/tex]
Equating both the equation gives
[tex]$$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$$[/tex]
6.) Write an addition expression to describe skateboarding
situation. Then determine the sum.
Hank starts at the bottom of a half pipe 6 feet below street
level. He rises 14 feet at the top of his kickturn.
Answer:
-6 + 14 = 8
Step-by-step explanation:
Hank starts at 6 feet below street level. He rises 14 feet at the top of his kickturn.
15. The cost of one yard of fabric is $7.99. What is the cost of 0.51 yd of fabric correct to 2 decimal places?
Answer:
Step-by-step explanation:
1 yard = $7.99
0.51 yard = x
cross multiply
1 (x) = ($7.99 × 0.51)
1 (x)/1 = 4.0749/1
x = 4.07
50 points please help asap
Answer: 5 blue marbles than 3 green marbles. Than 3 green on top/5 red on bottom.
Step-by-step explanation:
For every 3 green marbles there are 5 blue marbles.
Answer:
For every 3 green marble there are 5 blue marbles.
Step-by-step explanation: