Answers
Answer:
15/2= 7 1/2 =7.5
Step by step
Step 1 of 2: Add.
Add
5 and 2 over 165
2
16
+ 2 and 3 over 82
3
8
= 120 over 16
120
16
Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
5 and 2 over 165
2
16
= ( 5 × 16 ) over 16
5 × 16
16
+ 2 over 16
2
16
= ( 80 + 2 ) over 16
80 + 2
16
= 82 over 16
82
16
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 3 over 82
3
8
= ( 2 × 8 ) over 8
2 × 8
8
+ 3 over 8
3
8
= ( 16 + 3 ) over 8
16 + 3
8
= 19 over 8
19
8
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
82 over 16
82
16
+ 19 over 8
19
8
= ( 82 × 1 ) over ( 16 × 1 )
82 × 1
16 × 1
+ ( 19 × 2 ) over ( 8 × 2 )
19 × 2
8 × 2
= 82 over 16
82
16
+ 38 over 16
38
16
16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
82 over 16
82
16
+ 38 over 16
38
16
= ( 82 + 38 ) over 16
82 + 38
16
= 120 over 16
120
16
Step 1 of 2: Add.Hide
Step 2 of 2: Simplify.
Simplify
120 over 16
120
16
= 15 over 2
15
2
= 7 and 1 over 27
1
2
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
120 over 16
120
16
= ( 120 ÷ 8 ) over ( 16 ÷ 8 )
120 ÷ 8
16 ÷ 8
= 15 over 2
15
2
8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
15 over 2
15
2
= 7 and 1 over 27
1
2
15 ÷ 2 = 7 remainder 1
Related Questions
10 Jim was thinking of a number. Jim subtracts 14 from it and gets an answer of 43.9. What was the original number?
Answers
57.9 add 14 to the answer and you get your number
You earn
$10 per hour working as a manager at a grocery store.
You are required to work at the grocery store at least
8 hours per week. You also teach music lessons for
$15 per hour. You need to earn at least $120 per week,
$
do not want to work more than 20 hours
but you
per week.
a. Write and graph a system of linear inequalities
that represents the situation.
b. Identify and interpret a solution of the system.
c. Use the graph to determine whether you can work
8 hours at the grocery store and teach 1 hour of
music lessons.
Answers
We want to get a system of inequalities that models the given situation.
The solutions are:
a) The system is:
x ≥ 8x*$10 + y*$15 ≥ $120x + y ≤ 20.y ≥ 0And the graph can be seen at the end.
b) A solution can be x = 12 and y = 2
c) x = 8 and y = 1 is not a solution.
First, we need to define two variables:
x = number of hours working as a manager.y = number of hours teaching lessons.a) First, we know that you must at least 8 hours per week in the grocery store, then:
x ≥ 8
We know that you need to earn at least $120 per week, then we have the inequality:
x*$10 + y*$15 ≥ $120
And you don't want to work more than 20 hours per week, this gives:
x + y ≤ 20.
We also add the trivial restriction:
y ≥ 0
Then the system is:
x ≥ 8x*$10 + y*$15 ≥ $120x + y ≤ 20.y ≥ 0The graph can be seen at the end.
b) The solution region is the interception of the four shaded regions (is the dark blue part).
A solution in that region can be:
x = 12
y = 2
c) The point x = 8, y = 1 is graphed, you can see that it is outside the solution region, thus, this is not a solution.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/2065712
if a:b=3:4 and b:c=2:5 find i)a:c and II) a:b:c
Answers
Answer:
a:c= 3/5 = 0.6
a:b:c= 3/4/5=0.15
The area of the surface of a ball is equal to the area of the curved surface of a right circular cylinder. If both the height and diameter of the cylinder are 12cm , find the diameter of the ball
Answers
Answer:
D=12 cm
Step-by-step explanation:
please check the image for the answer. Thank you .
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box
Quick please!!!! 50 points!!
Answers
Answer:
2,1
Step-by-step explanation:
what is the first step in solving problem using GMDAS?
Answers
Answer:
D
Step-by-step explanation:
Gemdas-this means grouping
exponent, multiplication, Division,addition,
and subtraction order of operations
Sana tama HAHAHAHA
Is w = 4 a solution to the inequality below? w < 11 5 yes no
Answers
Answer:
yes
Step-by-step explanation:
just sub in the 4 for the w and see if the equation can be solved. if it can, then w=4 is a solution.
since 4 IS less than 11 5, w=4 can be a solution.
Brainliest please!!! Have a good day!!!!
What is the equation of this line *
Answers
Answer:
I would have to see the line to answer the question.
PLZ HELP ASAP! I'LL GIVE BRAINLIEST AND POINTS JUST HELP PLZ
plz no links
Divide these numbers in scientific notation.
(9.6*10^-8) divided by (3*10^-7)
Answers
Answer:
3.2 *10^-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\dfrac{9.6*10^{-8}}{3*10^{-7}}==\dfrac{9.6}{3}*10^{-8-[-7]}\\\\\\= 3.2*10^{-8+7}\\\\\\=3.2*10^{-1}[/tex]
6) The 4,000 students at Tech High were surveyed about their use of text
messaging. How many students said they text 50-100 times a day? *
1 point
How many text messages do you send
a day?
0-50
10%
50-100
75%
100-150
10%
More than 150
5%
Your answer
Answers
Answer: 3,000
Step-by-step explanation:
4,000 divided by 4 is 1,000. This means that 25% of 4,000 is equal to 1,000. 75 divided by 3 is 25. Multiply 1,000 times 3 to get your answer, 3,000, which is 75% of 4,000.
The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 8 to 5. if there were 7332 total votes, how many no were there?
Answers
Answer:
2820 no votes
Step-by-step explanation:
The fraction of votes that were 'no' is ...
no/total = (5)/(8+5) = 5/13
The number of votes that were 'no' is ...
(5/13)(7332) = 2820 . . . no votes
If m<8= x°, which angles have a measure of 180º – xº? Select all that apply.
<3
<4
<6
<10
Answers
Answer:
∠6, ∠10
Step-by-step explanation:
Apparently, we are to assume that the avenues are parallel.
The angles that form a linear pair with ∠8 will be supplementary: ∠6 and ∠7. The angles that correspond to those will also be supplementary to angle 8: ∠10 and ∠11.
Among the answer choices ∠3, ∠4, ∠6, ∠10, only ∠6 and ∠10 are equal to 180° -x.
_____
Additional comment
It appears we are to assume that 1st Ave is parallel to 2nd Ave. If that is the case, then we might also assume that D Street is perpendicular to those avenues. In that case, all of angles 5, 6, 7, 9, 10, 11, 12 are equal to 180° -x, because x and all of those are all 90°.
Can sides with lengths of 8, 3, 8 form a triangle
Answers
Answer:
Yes, sides with lengths of 8, 3, 8 can form a triangle. The type of triangle sides with these lengths would form is called an isosceles triangle. Isosceles triangles have three sides, two of which are equal.
Convert 232 fluid ounces to gallons (1 gallon = 128 fluid ounces)
Answers
232 fluid ounces is equal to 1.8125 gallons.
Answer:
Exact: 1.8125
Rounded Answers:
Nearest Thousandth: 1.813
Nearest Hundredth: 1.81
Nearest Tenth: 1.8
In ΔIJK, i = 16 inches, j = 22 inches and k=12 inches. Find the area of ΔIJK to the nearest 10th of an square inch.
Answers
Answer:
86.2 in squared
Step-by-step explanation:
Harons formula
Answer:
93.7
Step-by-step explanation:
Solve the equation
9 + 13 = 31
Answers
False
9 + 13 = 31
22 ≠ 31
Answer:
22
Step-by-step explanation:
po ang tamang sagon po
A cloth bag contains a mix of black, white and red balls. Selecting one ball at random, the probability of getting a black ball is 0.2 , while the probability of getting a white ball is 0.5 . (a) Selecting one ball at random, what is the probability of getting a red ball ? (b) If in total there are 5 white balls in the bag, how many black balls are there ? (c) If there are in total 3 red balls in the bag, how many balls are there altogether ?
pls give the way
Answers
Answer:
a) 0.3
Step-by-step explanation:
The probability of getting a red ball, the number of black balls and total balls are 0.3, 2 and 10 respectively.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
Given that,
The probability of getting a black ball is 0.2.
The probability of getting a white ball is 0.5.
(a) As the bag contains only black, white and red balls, the probability of getting a red ball is,
1 - (0.2 + 0.5)
= 0.3
(a) The probability of getting white balls can be written as,
P (white ball) = Number of white balls ÷ Total number of balls
Substitute all the given values to get,
Total number of balls = 5 ÷ 0.5
= 10
Similarly, for black balls it can be written that,
P (black ball) = Number of black balls ÷ Total number of balls
Substitute all the given values to get,
Number of black balls = 10 × 0.2
= 2
(c) When number of red balls are three then,
P (red ball) = Number of red balls ÷ Total number of balls
Substitute all the given values to get,
Total number of balls = 3 ÷ 0.3
= 10.
Hence, the answers for all the parts are 0.3, 2 and 10 respectively.
To know more about probability click on,
https://brainly.com/question/11234923
#SPJ2
Which term of the arithmetic sequence 1, 3, 5, 7, ... is 99?
It is the
th term.
Answers
Answer:
it is the 50th tearm
Step-by-step explanation:
I just added '2' to '1' 50 times in a sense and got 99
During lunch, Mr. Lee eats a piece of chicken that contains 9 1/9 grams of protein, and Mr. Scott eats a piece of salmon that contains 7 1/7 grams of protein. How much more protein did Mr. Lee eat at lunch?
Answers
Answer:
Mr. Lee ate [tex]1\frac{61}{63}[/tex] more protein than Mr. Scott
Step-by-step explanation:
Find the least common denominator for both fractions.
9: 9, 18, 27, 36, 45, 54, 63
7: 7, 14, 21, 28, 35, 42, 49, 56, 63
Multiply 1/9 by 7/7:
[tex]9 \frac{1}{9} = 9 \frac{7}{56} \\[/tex]
Multiply 1/7 by 9/9:
[tex]7\frac{1}{7} = 7\frac{9}{63}[/tex]
Subtract the two fractions:
[tex]9\frac{7}{63} - 7\frac{9}{63} = 1\frac{61}{63}[/tex]
there are eight competitors in each ring for a raw kwon do to tournament if there are 96 competitors in the tournament how many rings do they need
Answers
Answer:
12
Step-by-step explanation:
You divide 96 by 8 and you get 12.
Choose yes or no to tell if the digit in the tens place is 1/10 of the value of the digit in the hundreds place 54,450
Answers
Answer:
No
Step-by-step explanation:
54,450
Digit in tens place = 5
value = 50
54,450
Digit in hundreds place = 4
value = 400
1/10 value = 40
No the digit in the tens place is more than 1/10 the value of the digit in the hundreds place
50 is greater than 40
Please help! I also don’t understand a). My friend did it for me when I wasn’t looking so if you could explain that too, that’s be great
Answers
Answer:
a) 45
b) No. AD and BC arent parallel.
Step-by-step explanation:
a)
3x + 2x + x + 90 = 360
6x = 270
x = 45
Hope you could understand.
If you have any query, feel free to ask.
A train has an odd number of cars. The number of cars Is greater than 1 and less than 9
Answers
BRAINLIEST PLEASE
2. What is the average rate of change of the function f(x)=3x2 - 12 over the interval [1, 3]?
Answers
Answer:
5.2. Explanation: The average rate of change of the function f(x) on the interval [a,b] is: average rate of change=f(b)−f(a)b−a.
Step-by-step explanation:
19+1=x
what does x equal?
(hint: it's math and common sense)
Answers
Answer:
X equals 20
Step-by-step explanation:
19+1=x rearranged is X-19=1 and 20 minus 19 is 1 therefore 20 is the value of X.
Answer:
x = 20
Step-by-step explanation:
19 + 1 = 20
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.
Answers
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 :)
Can someone help me plzz
Answers
I need help!!
If any boady could tell me the awnswer that would be great
Answers
Answer:
1/4 and 3/8 = 2/8 and 3/8
1/4 and 1/2 = 1/4 and 2/4
2/16 ad 3/8 = 2/16 and 6/16
1/4 and 2/16 = 4/16 and 2/16
1/2 and 3/8 = 4/8 and 3/8
Step-by-step explanation:
Answer:
The first box goes with the third bottom box. The second box goes with the 5th bottom box. The third box goes with the first bottom box. The fourth box goes with the fourth bottom box. Lastly the 5th box goes with the second bottom box.
Hope this helps
Lesson 6 Practice Problems
1. A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint.
The table shows different quantities of red
and white paint for the same shade of pink.
Complete the table.
white paint
(cups)
red paint
(cups)
4
3
1
1
4
5
Answers
Answer:
WHITE PAINT PINK PAINT
(CUPS) (CUPS)
4 3
4/3 1
1 3/4
16/3 4
5 15/4
-Lexi
i need help...Which table represents a function?
A 2-column table with 4 rows. The first column is labeled x with entries negative 3, 0, negative 2, 8. The second column is labeled y with entries negative 1, 0, negative 1, 1.
A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 0, negative 5, 6. The second column is labeled y with entries negative 5, 0, 5, negative 6.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 2, negative 2, 0. The second column is labeled y with entries 8, 2, 4, 2.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, 3, 1, negative 4. The second column is labeled y with entries 2, 5, 3, 0.
Answers
Explanation:
A function has each x value map to exactly one y value. Choice A demonstrates this, which is why it's a function. Note how none of the x values are repeated in this table.
Choices B, C and D have repeated x values, which in turn means that we have an x input lead to multiple y outputs. For instance, choice B says that the input x = -5 has the two outputs y = -5 and y = 5; this is sufficient to show that table B is not a function. Choices C and D are a similar story.