Answer:
Original number of sixes = 6
Original number of nines = 10
Step-by-step explanation:
We are told in the question that:
A certain number of sixes and nines is added to give a sum of 126
Let us represent originally
the number of sixes = a
the number of nines = b
Hence:
6 × a + 9 × b = 126
6a + 9b = 126.....Equation 1
If the number of sixes and nines is interchanged, the new sum is 114.
For this second part, because it is interchanged,
Let us represent
the number of sixes = b
the number of nines = a
6 × b + 9 × a = 114
6b + 9a = 114.......Equation 2
9a + 6b = 114 .......Equation 2
6a + 9b = 126.....Equation 1
9a + 6b = 114 .......Equation 2
We solve using Elimination method
Multiply Equation 1 by the coefficient of a in Equation 2
Multiply Equation 2 by the coefficient of a in Equation 1
6a + 9b = 126.....Equation 1 × 9
9a + 6b = 114 .......Equation 2 × 6
54a + 81b = 1134 ........ Equation 3
54a + 36b = 684.........Equation 4
Subtract Equation 4 from Equation 3
= 45b = 450
divide both sides by b
45b/45 = 450/45
b = 10
Therefore, since the original the number of nines = b,
Original number of nines = 10
Also, to find the original number of sixes = a
We substitute 10 for b in Equation 1
6a + 9b = 126.....Equation 1
6a + 9 × 10 = 126
6a + 90 = 126
6a = 126 - 90
6a = 36
a = 36/6
a = 6
Therefore, the original number of sixes is 6
While hiking Sam ate 2/3 cup of nuts, Jordan ate 1/10 of a cup. How much more did Sam eat than Jordan.
Answer:
17/30
Step-by-step explanation:
2/3-1/10=
20/30-3/30=
17/30
I need help simplifying -10x-x
Answer and Step-by-step explanation:
-11x
You just combine all your like terms together and it should leave you with -11x
Hope you found this helpful! ^-^
9. Hannah solved an equation as shown below.
4(x - 6) = 14
4x – 24 = 14
4x = 38
19
X=-
2
In her solution, Hannah applied three properties:
1. Division Property of Equality
II. Addition Property of Equality
III. Distributive Property
In which order did she use the properties?
a) I, II, III
c) III, II, I
b) II, III, I
d) III, I, II
A survey conducted with 50 people on the ice cream flavor they like.It was found out that 28 like chocolate,15 like mango,and 20 likes strawberry.Futhermore,8 like chocolate and strawberry,11 like mango and strawberry,7 like chocolate and mango,and 4 people like all the 3 flavors.
Find the number of people who like.
A.Chocolate Only
B.Mango only
C.Strawberry Only
D.Chocolate and strawberry
E.None of the flavors
Answer:
A. Chocolate Only = 17
B. Mango only = 1
C.Strawberry Only = 5
D.Chocolate and strawberry = 4
E.None of the flavors = 9
Step-by-step explanation:
Kindly check attached picture for detailed explanation
A set is a group of related item.
17 like chocolate only1 likes mango only5 like strawberry only4 like chocolate and strawberry only4 like noneLet:
[tex]C \to Chocolate[/tex]
[tex]M \to Mango[/tex]
[tex]S \to Strawberry[/tex]
So, we have:
[tex]C = 28[/tex]
[tex]M = 15[/tex]
[tex]S = 20[/tex]
[tex]n(C\ n\ S) = 8[/tex]
[tex]n(M\ n\ S) = 11[/tex]
[tex]n(C\ n\ M) = 7[/tex]
[tex]All = 4[/tex]
[tex]n(U) = 50[/tex] -- the population
(a) Chocolate only.
This is calculated as:
[tex]C\ only = C - n(C\ n\ S) - n(C\ n\ M) + All[/tex]
So, we have:
[tex]C\ only = 28 - 8 - 7 + 4[/tex]
[tex]C\ only = 17[/tex]
(b) Mango Only
This is calculated as:
[tex]M\ only = M - n(M\ n\ S) - n(C\ n\ M) + All[/tex]
So, we have:
[tex]M\ only = 15 - 11 - 7 + 4[/tex]
[tex]M\ only = 1[/tex]
(c) Strawberry only
This is calculated as:
[tex]S\ only = S - n(M\ n\ S) - n(C\ n\ S) + All[/tex]
So, we have:
[tex]S\ only = 20 - 11 - 8 + 4[/tex]
[tex]S\ only = 5[/tex]
(d) Chocolate and strawberry
This has already been given as:
[tex]n(C\ n\ S)\ only=n(C\ n\ S) - All[/tex]
[tex]n(C\ n\ S)\ only=8 - 4[/tex]
[tex]n(C\ n\ S)\ only = 4[/tex]
(e) None
See attachment for the Venn diagram that represents the set
Subtract the sum of all the numbers in the Venn diagram from the total (50)
[tex]None = 50 - (17 + 1 + 5 + 4 + 4 + 7 + 3)[/tex]
[tex]None = 9[/tex]
Read more about sets at:
https://brainly.com/question/7013716
Picture should be uploaded
Answer:
5/8
Step-by-step explanation:
There are 4 possible outcomes on the first spinner and 4 outcomes on the second spinner for 4*4 = 16 outcomes
We want 5 or more
1+4
2+3
2+4
3+2
3+3
3+4
4+1
4+2
4+3
4+4
These are the positive outcomes 10
10/16 = 5/8
- 3 (n-3)-5
simplify the expression using distributive property please rnnn
15 Points!!! Which system of inequalities is shown?
a. y < x
y > 2
b. y < x
y < 2
c. y > x
y < 2
d. y > x
y > 2
Answer:
they are equal so what one shows that they rise 2 run 2
Step-by-step explanation:
The correct option is Option A: The system of inequalities that are shown within the graph are in y < x and y > 2.
What is inequality?
Inequality means the relation that creates a non-equal comparison between two numbers or other expressions. It is the condition of unequalness. A system of inequalities is a set of two or more inequalities in one or more than one variables.
According to the question,
For the given condition,
The graph basically shows the inequality relationship between x and y.
The correct system of inequality is found by plotting all the choices within the graph.
The graph below shows the system of inequalities as shown for the expression,
Therefore, the system of inequalities that are shown within the graph is in option (a) i.e y < x and y > 2.
To learn more about the System of inequalities click here
https://brainly.com/question/19526736
#SPJ2
Clint and Max worked out at the gym together today. Clint works out at the gym every 4 days. Max works out at the gym every 6 days. How many days until they both work out at the gym on the same day again?
Answer:
24 days
Step-by-step explanation:
To determine the number of days until they both work out at the gym on the same day again,
Find the lowest common multiples of 4 days and 6 days
Clint (4 days) = 8, 12, 16, 20, 24, 28, 32
Max (6 days) = 12, 18, 24, 30, 36, 42
The lowest common multiple of ,4 days and 6 days is 24 days
Therefore, the number of days until they both work out at the gym on the same day again is 24 days
Answer:
no its not 24 its 12
Step-by-step explanation:
6 plus 6 is12 and clint has to work 8 more days to get to 12
Please help!!!!!
Turner treated his sister to lunch while visiting her in springdale. their lunch cost $400. and the sales tax in springdale is 11% if turner left an 18% tip on the $400, how much in total did he pay
Answer:
$516
Step-by-step explanation:
Price of lunch: $400
Sales tax: 11% of $400
Tip: 18% of $400
The sales tax and tip combined were 29% of $400 since 11% of $400 + 18% of $400 = 29% of $400.
We calculate the combined sales tax and tip:
29% of $400 =
= 0.29 * $400
= $116
The combined sales tax and tip were $116.
Now we add the combined sales tax and tip to the $400 price of dinner.
total = $400 + $116
total = $516
The midpoint of GH are M(4,3) and D(5,-6). The coordinates of the endpoint are?
Answer:
The endpoint coordinates are (3,12)
Step-by-step explanation:[tex]\frac{5+x^{2} }{2} =4[/tex] [tex]\frac{-6+y^{2} }{2} = 3[/tex]
You multiply 4 by 2 which gives you 8 and write the equation[tex]5+x^{2} =8[/tex] then you subtract 5 from 8 to get 3 for the x coordinate.
You multiply 3 by 2 which gives 6 and writhe the equation[tex]-6+y^{2}=6[/tex] then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.
To check use the midpoint formula with coordinates D and your endpoint coordinates[tex]\frac{5+3}{2}=\frac{8}{2} =4 \\[/tex] [tex]\frac{-6+12}{2} =\frac{6}{2} =3[/tex] and you get the answer for the midpoint which is (4,3)
Find the quotient (-6) divided by (-7)
Answer:
I got a decimal
Step-by-step explanation:
0.857142857
Answer:
Step-by-step explanation:
246/35 simplified to a whole number
Answer:
About 7
Step-by-step explanation:
245/35 = 7
So, 246/35 = 7.02, which is about 7.
Hope this helps!
Plz name brainliest if possible!
Complete the sentence to make it true statements 6 is 100 times
Answer:
6 is 100 times 0.06
Step-by-step explanation:
0.06 times 100 = 6
yesterdays world cup final had a viewing figures of 138,695,157. what is the value of the 3?
Answer:
The number is 138,695,157.
If you want to know the value of a particular number, then follow the steps:
1) Start at the decimal point (in the right) and count the places until you reach the desired number.
For example, the 3 is in the 8th position, so here we take n = 8.
2) Now that you find n, multiply your number by 10^(n-1)
in this case we have:
3*10^(8 - 1) = 3*10^7 → (this means that you add 7 zeros at the right of the 3)
3*10^7 = 30,000,000
So that is the value of the 3 in the given number. (3 ten-millions)
Millie lives in home valued at $195,000 and her mortgage is $160,000. She has $3200 in her saving accounts. What is her net worth?
685,000
Step-by-step explanation:
195000
160000
3200
685000
Find the LCM 6 and 12
Algebraic expression is what I NEED Your summer job pays $8.25 per hour and you must pay for a company shirt that costs $15. If your work x hours per week, how much will you make during the first week? NEEDED NOW!!!
Answer:
y=8.25x-15
Step-by-step explanation:
From the information provided, the algebraic expression will need to indicate that your earnings during the first week, y, would be equal to multiplying $8.25 for the number of hours, x, minus $15. According to that, the algebraic expression is:
y=8.25x-15
You earn $106.25 for working 17 hours. What is
your hourly wage
Answer:YAY
Step-by-step explanation: :)
PLEASE SEND HELP!!! I need to finish this test in 20 minutes.
Answer:
b
Step-by-step explanation:
this is the answer
Point C is located at (2,8). If it is reflected across the x axis, where will C be located?
Answer:
(2, -8)
Step-by-step explanation:
The answer is (2, -8) because when you reflect a point across the x-axis, the x-coordinate always remains the same, but the y-coordinate will change. In other words, the y-coordinate becomes the opposite (signs change). In this case, since the y-coordinate was positive 8, when you reflect the point across the x-axis, the y-coordinate will change to -8
A taxi company states that a driver drives about 575 miles per day and that this amount can vary by as much as 45 miles. What are the maximum and minimum numbers of miles a driver will drive in a day?
Answer:
323
Step-by-step explanation:
what is -20 and 3/4 as a decimal.
Answer:
20.75
Explanation:
20+3/4
= 20.75
= 2075
You earn 5% commission on the first $2000 of sales and 8% commission on all sales over $2000. If you sold $7740, what is your total commission?
Answer:You earn 5% commission on the first $2000 of sales and 8% commission on all sales over $2000. If you sold $7740, what is your total ...
Step-by-step explanation:
Lcm of 12,16,24,32,36
Answer:
288
Step-by-step explanation:
24 is a multiple of 12, and 36 is a multiple of 12, so the LCM of 24, 32, and 36 will also be the LCM for 12 and 16.
24 = 2^2 * 3
32 = 2^5
36 = 2^2 * 3^2
LCM = 2^5 * 3^2
LCM = 288
Help me out 25 points
Answer: Can you give more details
Step-by-step explanation:
Carmen has taken out a loan for $800 to buy a car. She plans to pay back the loan at a rate of $40 per month. Ramona has borrowed $500 to buy a car, which she plans to pay back at a rate of $20 per month. How long will it take Carmen to pay back her loan?
Answer:
800 ÷ 40
=20
It will take Carmen 20 to pay back her loan
Answer:
20 Months
Step-by-step explanation:
800 / 40 = 20
A pool player located at x wants to shoot the white ball off the top cushion and hit the red ball dead center. he knows from physics that the white ball will come off a cushion at the same angle as it hits a cushion. where on the top cushion should he hit the white ball?
Answer:
6ft
Step-by-step explanation:
Last year a restaurant chain spent 3.3 X 106 dollars
opening new restaurants. This year the restaurant will
spend 9.9 X 105 dollars. Which statement is true?
А The restaurant spent $330,000 dollars last year.
B This year the restaurant will spend $9,900,000.
C The restaurant spent 6.6 X 106 dollars more this
year than last year.
D This year the restaurant will spend about 0.3 times
the amount it did last year.
HELP
Which option completes the explanation for conflict of interest in an organization?
The organization wants you to avoid situations that make you choose between its overall benefit and your _______
Answer:
personal gain
Step-by-step explanation:
it was on a quizlet flashcard
The heights of four students are 148.5 centimeters, 146.9 centimeters, 148.2 centimeters, and 148.75 centimeters. Kylie is the tallest. Elly is taller than Jessica, but shorter than Elizabeth. Jessica is the shortest. What is Elizabeth’s height?
