Answer:
<
<
>
Step-by-step explanation:
To compare fractions, we need to make sure that both fractions have the same denominator. For example, for question 4, the least common multiple of 5 and 3 is 15, so we need to multiply both fractions by some numbers to get the denominators equal to 15. In this case, we will multiply the first fraction, [tex]\frac{3}{5}[/tex] by 3 to get [tex]\frac{9}{15}[/tex] and the second fraction, [tex]\frac{3}{3}[/tex] by 5 to get [tex]\frac{15}{15}[/tex].
Once we have the same denominator, we can simply compare the value of the numerators and see which one is larger. For question 4, since 9 is smaller than 15, the first fraction is smaller than the second. So the correct inequality to represent this would be "<".
To do these sums, we have to first convert them to like fractions.
For the first one:
LCM of denominators 5 and 3 is 15.[tex] \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} [/tex][tex] \frac{3}{3} = \frac{3 \times 5}{3 \times 5} = \frac{15}{15} [/tex]Since,[tex] \frac{9}{15} < \frac{15}{15} [/tex]Therefore,[tex] \frac{3}{5} < \frac{3}{3} [/tex]For the second sum:
LCM of denominators 6 and 8 is 24.[tex] \frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24} [/tex][tex] \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} [/tex]Since[tex] \frac{16}{24} < \frac{21}{24} [/tex]Therefore,[tex] \frac{4}{6} < \frac{7}{8} [/tex]For the third one:
LCM of denominators 10 and 5 is 10.[tex] \frac{6}{10} = \frac{6 \times 1}{10 \times 1} = \frac{6}{10} [/tex][tex] \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} [/tex]Since,[tex] \frac{6}{10} > \frac{4}{10} [/tex]Therefore,[tex] \frac{6}{10} > \frac{2}{5} [/tex]Hope you could get an idea from here.
Doubt clarification - use comment section.
Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 15.9 and a standard deviation of 1.8. What is the 99% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? <μ<
Enter your answers accurately to one decimal place.
Sample mean : \overline{x}=10.6x=10.6
Standard deviation : s=1.7s=1.7
Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05
Critical value : z_{\alpha/2}=1.96
Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)
If f(x)= 5x, what is f^-1(x)?
Step-by-step explanation:
[tex]f( x) {}^{ - 1} \\ f(x) = 5x \\ y = 5x \\ x = 5y \\ y = \frac{x}{5} \\ f(x) {}^{ - 1} = \frac{x}{5} [/tex]
A store is having a clearance sale where all prices are 30% off. The store is located in a county with a 7.5% sales tax. The final price, including sales tax, of any item in the store will be what percent of the original price? Explain your reasoning.
Ans. 450
Solve.
Add 100and you will get the ans
[tex]3^{2x+1} -4.9^{x} =-9[/tex]
Use >,<, or = to solve
the inequality below.
4/5 1/2
Answer:
4/5 > 1/2
Step-by-step explanation:
4/5 1/2
\/
4/5 -> 8/10
1/2 -> 5/10
\/
8/10 > 5/10
\/
4/5 > 1/2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
4/5>1/2
Step-by-step explanation:
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
4/5 = 0.8
1/2 = 0.5
Then, we compare the two decimal numbers to get the answer.
0.8 is greater than 0.5.
Therefore, 4/5 is greater than 1/2
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m
Answer:
4
Step-by-step explanation:
Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.
Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.
Write 110% as a mixed number in simplest form
Answer:
1 1/10
Step-by-step explanation:
110% = 110/100 = 11/10 = 1 1/10
PLS HELP ITS A MAJOR GRADE AND DUE TOMORROW
A rental car company charges $55 plus $0.50 per mile to rent a car. Mt. Judd does not want to spend more than
%150 for his rental car. Write and solve an inequality to find how many miles he can drive and not spend more
than $150. Interpret/explain the solution.
Incorrect work/Solution
Identify and Explain Error
m = miles
0.5m < 150
0.5 0.5
m< 30
Mr. Judd can drive at least 50 miles.
Correct Work/ Solution
Share Strategy
Answer:
*See below*
Step-by-step explanation:
Identify and Explain Error
The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.
Correct Work/Solution
$55 to rent
$0.50 per mile
Let's start by removing $55 from $150 to see how many dollars is left over for gas.
150 - 55 = 95
Then, divide 95 by 0.5
95 ÷ 0.5 = 190
He can drive at least 190 miles.
Share Strategy
Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.
Note:
Hope this helps :)
Have a great day!
what rounds up to 5,620 to the nearest ten
5,610
Step by step explanation:When rounding to the nearest ten, like we did with 5620 above, we use the following rules:
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.Answer: 5620
~~Step-by-step explanation~~
Rounding has a simple rule. 5 or above? Up you shove. 4 or below? Keep it low.
1. What are you using to round?
5620 : The tens place is the number we are either going to be rounding up or keeping. In this case, it is the 2 in 5620.5620 : When rounding to the nearest ten, you look at the ones section. In this case, it is the 0 in 5620.2. Execution
When rounding up to tens, look at the ones value. If the number is 5 or above, round the tens place up a number. (ex. 5625 --> 5630) If the number is a 4 or below, keep the tens value the same. (ex. 5624 --> 5620)Since the ones place in 5620 is below a four, we are going to keep the tens value the same, so the answer is going to be 5620.
13. This shows a part of a multiplication table. Find the missing numbers. Explain how you found the numbers.
35 40
42 ?
? ?
The missing numbers in the multiplication table are 49, 48 and 56 respectively
Given:
35
42
?
35 = 7 × 5
42 = 7 × 6
? = 7 × 7 = 49
40
?
?
40 = 8 × 5
? = 8 × 6 = 48
? = 8 × 7 = 56
Multiplication table is a mathematical table showing the products of each of integers such as 7 and 5, 1 and 10, 13 and 12 etcTherefore, the missing numbers in the multiplication table are 49, 48 and 56 respectively
Learn more about multiplication:
https://brainly.com/question/10873737
There are flags planted along a forest. There
are blue flags planted every 10 miles and there
are purple flags planted every 20 miles. If the
forest is 300 miles long, how many times will
there be a blue and purple flag in the same
spot?
Answer:
15 times there will be a blue and purple flag in the same spot
Step-by-step explanation:
300 miles / 10 miles = 30 blue flags in total
300 miles / 20 miles = 15 purple flags in total
There will be at least one blue flag for every purple flag. Since there is 15 purple flags in total, there will be 15 times this can occur.
I have attatched a demonstration of my thoughts to this post.
If your money doubles once every 30 minutes and your start with $12, how much money will you have in 1.5 day?
Answer:
$1728
Step-by-step explanation:
1.5 days is 36 hrs
36 hrs is 2160 mins
2160/30 = 72 (this is the amount of times our money will be doubled)
72*2 = 144
$12*144 = $1728
The Smith family goes out for lunch, and the price of the meal is $45.The sales tax on the meal is 6%, and the family also leaves a 20%tip on the pre-tax amount. What is the total cost of the meal?
Answer:
$56.70
Step-by-step explanation:
45 x 6% = 2.7 Multiply price of meal with the percentage of sales tax
45 x 20% = 9 Multiply price of mean with the percentage of tip
$9 is the tip amount
$2.70 is the sales tax
$45 + $2.70 + $9 = $56.70. Add the price of the meal with the sales tax and tip amount to get the total cost of the meal.
somebody please help me:(
What is an equation of the line that passes through the points (-7, 7) and (3, 7)(
Answer:
y=7
Step-by-step explanation:
The slope is (7-7)/(3+7) = 0. So, the line is a horizontal line.
The y value of both points is 7.
Plz HELP ME NOWWWWWWWW
Answer:
x=13
Step-by-step explanation:
(4x-20+x-1)/8 = (3x-9+4x-16)/12
(5x-21)/8=(7x-25)/12
(5x-21)/8 x 12/1 = (5x-21)/2 x 3/1 = (15x -63)/2
15x - 63 = 14x - 50
x=13
What is the opposite of 3.5? Write your answer as a decimal
What is the slope of the line?
Answer:
-5
Step-by-step explanation:
Use the slope triangle I mentioned in a previous question
Help I need the answers ASAP
Answer:
304 and 512
Step-by-step explanation:
11/2 ___ 55%? PLS I NEED A AWNSER
Answer:
The answer is >
Step-by-step explanation:
11/2 as a percentage is equal to 550% which is greater than (>) 55%
What is the midpoint of the line segment with endpoints (-4, 5)
and (4, 3).
Answer:
(0,4)
Step-by-step explanation:
use midpoint formula
Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?
Answer:
600 in the 8% interest and 2400 in the 3% interest.
Step-by-step explanation:
600 + 8% = 48
2400 + 3% = 72
72 + 48 =120
[tex]Simplify..... \\ \\ \frac{6x ^{4} {y}^{2} \times 4 {x}^{6} {y}^{3} }{12 {x}^{5} {y}^{4} } [/tex]
..............................
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.
Let f(x) =
=(x^2-16x+39
Divide by X-3
a,if x #3
if x = 3
Answer:
Step-by-step explanation:
x² - 16x + 39 = ( x - 3 )( x - 13 )
Write 3,408,000 in expanded form.
Answer:
3.408 × 10 ^6
Step-by-step explanation:
261,256,251,...
Find the 50th term.
Find the 50th term.
Answer: 16
Step-by-step explanation:
For n=1, 1st term = 261 - 5(1-1) = 261 - 5*0 = 261
For n=2, 2nd term = 261 - 5(2-1) = 261 - 5*1 = 256
For n=3, 3rd term = 261 - 5(3-1) = 261 - 5*2 = 251
So, For n=n, nth term = 261 - 5(n-1)
Thus, For n=50, 50th term = 261 - 5(50-1) = 261 - 5*49 = 261 - 245 = 16
what is 3.98.7 * 29.76+
Answer:
- 7% of 3.98...
... is equivalent to multiplying them:
- 7% × 3.98 ≈ - 0.28
(Rounded to a maximum of 2 decimals)
Step-by-step explanation:
Hue is arranging chairs. She can form 2 rows of a given length with 6 chairs left over, or 8 rows of that same length if she gets 12 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.
Answer:
I am stuck on the same question please comment if someone answers
Answer:
3
Step-by-step explanation:
Okay so 18 chairs were used more for 6 more rows so each row has 3 length.
x = 3
Now this makes no sense, because I don't know why you would leave 6 chairs if you only have 3 chairs for each row but....(Hue is weird so let's not question him)
Anyways mathematically
first arrangement = 2x + 6
second arrangement = 8x - 12
2x + 6 = 8x - 12
6x = 18
x = 3
Help with this problem
Answer:
The vertical intercepts is
(4/3,0) (3,0) (1,0)
The horinzontial intercepts is
(0,72)
Step-by-step explanation:
The vertical or y intercepts will be zeroes of the following factors.
3x+4=0
x-1=0
(x-3)^2=0
We solve for x each time
x=-4/3
x=1
x=3
Part B). We need to find the intercepts by setting the equation equal to zero.
The constant expanded will equal 72.
If x=0,
0y=0
where y is any real number.
So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is
6-3y+(-7y)+5.6 i really need answers
Answer:
+2 • (25y + 29)/5
Step-by-step explanation: