Answer:
1. 3/7
2. 6/11
Step-by-step explanation:
One and one half divided by one and one sixth equals 1 2/7, and three fourths divided by one and three eights equals 6/11. To solve, convert mixed numbers to improper fractions, then multiply by the reciprocal of the divisor fraction.
To find out what one and one half divided by one and one sixth is, we first need to express these mixed numbers as improper fractions. One and one half is the same as 3/2 (since 1 + 1/2 = 2/2 + 1/2 = 3/2), and one and one sixth is the same as 7/6 (since 1 + 1/6 = 6/6 + 1/6 = 7/6). When we divide fractions, we multiply by the reciprocal of the divisor. So, (3/2) / (7/6) = (3/2) * (6/7) = 9/7, or 1 2/7 when expressed as a mixed number.
Next, to divide three fourths by one and three eights, we express these numbers as improper fractions as well. Three fourths is already an improper fraction, 3/4, and one and three eights is 11/8 (since 1 + 3/8 = 8/8 + 3/8 = 11/8). Dividing these gives us (3/4) \/ (11/8) = (3/4) * (8/11) = 24/44, which simplifies to 6/11.
Sam was still finishing his breakfast when his brother Leo left for school. Sam started to run after Leo when Leo was already 100 meters away. How soon will Sam catch up, if he is running at a speed of 105 meters per minute while Leo is walking at a speed of 65 meters per minute?
Answer:
Sam will catch up his brother in 2.5 minutes
Step-by-step explanation:
Two equations can be written to represent the problem.
Sam: y1 = 105*t
Leo: y2 = 100 + 65*t
where y represent position, in meters, and t is time in minutes. That is, after 1 minute after Sam started to run, Sam will be at 105 meters of distance from the house, and Leo will be at 165 meters of distance from the house.
When Sam catch up Leo, the distance travelled by both equals:
y1 = y2
105*t = 100 + 65*t
105*t - 65*t = 100
40*t = 100
t = 100/40
t = 2.5 minutes
A store is having a sale where movies are 15% off their original price. A movie originally cost $25. how much money will be saved by purchasing the movie on sale?
Which graph represents the solution for the equation 1/6x=-2x+5
Answer:
B
Step-by-step explanation:
When y = 0, the equation becomes 0 = 230 – 45x. Solve this equation for x. What does the solution represent?
Which is the largest ratio?
5/36, 2:9, 3 to 18, 1:3
5/36
2:9
3 to 18
1:3
Answer: The largest ratio is (d) 1 : 3.
Step-by-step explanation: We are given to select the larges ratio among the given options.
The first ratio is
[tex]\dfrac{5}{36}.[/tex]
The second ratio is
[tex]2:9=\dfrac{2}{9}=\dfrac{2\times 4}{9\times 4}=\dfrac{8}{36}.[/tex]
The third ratio is
[tex]3\textup{ to }18=\dfrac{3}{18}=\dfrac{3\times 2}{18\times 2}=\dfrac{6}{36}.[/tex]
The fourth ratio is
[tex]1:3=\dfrac{1}{3}=\dfrac{1\times 12}{3\times 12}=\dfrac{12}{36}.[/tex]
Arranging all the ratios in ascending order, we have
[tex]\dfrac{5}{36},~\dfrac{6}{36},~\dfrac{8}{36},~\dfrac{12}{36}\\\\\\\Rightarrow \dfrac{5}{36},~\dfrac{3}{18},~\dfrac{2}{9},~\dfrac{1}{3}.[/tex]
Thus, the largest ratio is (d) 1 : 3.
A 30 minute TV program consist of three commercials, each 2 1/2 minutes long, and four equal length entertainment segments. How long is each entertainment segment?
What is the greatest common factor of 15 and 20
Answer: 5
Step-by-step explanation: To find the GCF or greatest common factor of 15 and 20, we first list the factors of 15 which are 1, 3, 5, and 15.
Next, we list the the factors of 20 which are 1, 2, 4, 5, 10, and 20.
Finally, we compare the lists to find the largest shared factor which is 5.
So the greatest common factor of 15 and 20 is 5.
Image provided.
Simplify the numerical expression: -4.2 + 8.1 x ( -1.9)
There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?
Answer Choices:
A:1
B:10^10
C:10^16
D:10^17
What is 2/7 as a percent
A second number is 6 less than a first number. A third number is twice the first number. If the sum of three number is 306, find the numbers
Answer:
first number = 78
second number = 72
third number = 156
Step-by-step explanation:
first number = a
second number = b
third number = c
we have
b=a-6 equation 1
c=2a equation 2
a+b+c=306 equation 3
using equation 1 and equation 2 in equation 3 we have
a+a-6+2a=306
4a=306+6
4a=312
a=312/4
a=78= first number
b=78-6=72=second number
c=2*(78)=156 third number
You eat 3 8 of a pie and your sister eats 1 4 of the pie. Explain who ate more of the pie
2i+3+the square root of -4. i dont understand how to write this expeession as a complex number in standard form. a step by step would be helpful! thank you!
First the surface area of the cube. Round to the nearest whole number and the next one after that pllzzzzz
The surface area of the cube is approximately 396, and the next whole number after that is 397.
17/7 as a repeating decimal is approximately 2.428571.
To find the surface area of a cube, you need to multiply the side length of the cube by itself, and then multiply the result by 6.
In this case, the side length of the cube is 65/8 cm. To simplify this fraction, you can divide the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified fraction is still 65/8.
To find the surface area, you'll need to calculate (65/8)^2 and then multiply the result by 6.
To square the fraction, you need to square the numerator and the denominator separately.
(65/8)^2 = (65^2)/(8^2) = 4225/64
Now, multiply this result by 6:
(4225/64) * 6 = 25350/64
To round this fraction to the nearest whole number, you divide the numerator by the denominator and round to the nearest whole number.
25350/64 ≈ 396.09375
Rounding this to the nearest whole number, you get 396.
The next whole number after 396 is 397.
Therefore, the surface area of the cube is approximately 396, and the next whole number after that is 397.
Now, let's move on to the next question:
To write the fraction 17/7 as a repeating decimal, you need to perform long division.
Divide 17 by 7:
2.428571...
-14
------
30
-28
------
20
-14
------
60
-56
------
40
-35
------
50
-49
------
10
The division repeats after the first decimal place, with the digits 428571 repeating indefinitely. Therefore, 17/7 as a repeating decimal is approximately 2.428571.
Dan has 4 over 5 cup of ice cream. How many 1 over 8-cup servings are in 4 over 5 cup of ice cream?
find the value of x
6q + 9 ≤ 9 and 6q + 9 ≥ −9
Function f is an exponential function.
x −4 −2 0 2 4
f(x) 316 34 3 12 48
By what factor does the output value increase as each input value increases by 1?
Answer:
The output value increased by factor 2.
Step-by-step explanation:
The general form of the exponential function is
[tex]f(x)=ab^x[/tex]
Where, a is initial value and b is growth factor.
From the given table it is noticed that at x=0, the value of f(x) is 3. It means the initial value is 3.
[tex]a=3[/tex]
The another value of f(x) is 12 at x=2.
[tex]f(3)=ab^2[/tex]
[tex]12=(3)b^2[/tex]
[tex]4=b^2[/tex]
[tex]b=2[/tex]
The required function is
[tex]f(x)=3(2)^x[/tex]
Since the growth factor is 2, therefore the output value increased by factor 2.
The length of a rectangle is twice its width. The length is 4 1/2 feet. What is the area of the rectangle? Answer quick
Evaluate the expression 1/4 ÷ 2/5 – 1/2
2 automobiles start together from the same place and travel along the same route. the first averages 40 miles per hour. the second 55 miles per hour. how many miles further along the route is the second auto at the end of 5 hours
How much more money does she need
5 pounds of bananas cost 0.80*5 = 4 dollars
5 pounds of apples cost 1.40 *5 = 7 dollars
4+7 = 11 dollars
11 dollars is greater than 10 so she does not have enough and needs 1 more dollar
Hey!
Hope this helps...
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Because it is asking for 5 pounds of both bananas and apples, we will multiple the amount per pound for each by 5...
Bananas: $1.40 * 5 = $7
Apples: $0.80 * 5 = $4
The Total is: $11
Now we ask: Is $10 greater than or equal to $11?
Answer: No
So...
The answer is: Janice's mother did not give Janice enough money, and need $1 more to make the full purchase...
Defined by distinct lines in the same place which never intersect each other and have the same slope
Kathleen had a bag of candy-coated chocolates. Of the 55 candies in the bag, 20% were red, 30% were orange, 30% were green, and 20% were blue. Of the blue ones, 20% had a damaged candy coating. Approximately how many of the blue ones had a damaged candy coating?
Which set of rational numbers is correctly ordered from least to greatest circle your answer.Use a number line to help find your answer.
A.-0.48,-0.47,-0.46,0.45
B.-0.48,-0.46,-0.47,0.45
C.-0.45,-0.46,0.47,-0.48
the sum of 15 and x is greater than or equal to 12 minus y
Biff earned $45 working at happy days drive-in. He spent 1/3 of the money on gas for his car and 1/5 of it on the flowers for his girlfriend. How much money does he have left for the big date? I know what the answer is but I do not know how to show my work or explain it. Please show me how you got the answer thank you very much I will make the points on this problem go up!
Answer:
Sorry I don't really know how to explain it but he would have $21 left
Step-by-step explanation:
How can I write number 8 in the tens place
A dvd case is 9/16 thick. how many of these cases will fit on a shelf that is 1 1/2 ft wide.
Adult and student tickets to the high school basketball game are sold each week. For every two adult tickets, seven student tickets are sold. How many total tickets were sold if 92 adult tickets were sold?
The total number of tickets sold wer2 414 tickets.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, for every two adult tickets, seven student tickets are sold.
So, the ratio is 2:7
Here, 2+7 =9
The number of adult tickets sold were 92.
Let the total number of tickets be x.
Now, number of student tickets
2/9 ×x=92
2x=92×9
2x=828
x=414
Therefore, the total number of tickets sold wer2 414 tickets.
To learn more about the ratio visit:
brainly.com/question/13419413.
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