Answer:
option A
-2x + 4y = 4
-3x + 6y = 6
Step-by-step explanation:
In option A, if the student multiply the first equation by 3 and the second equation by -2, then the equations become
-6x+12y = 12 and
6x-12y =-12
If she adds both equations, she will get 0 = 0
This means that the system has infinite number of solutions.
Hence, the student could have started with equations -2x + 4y = 4 and -3x + 6y = 6.
What is Distributive property
Answer:
It is when you distribute one number between two numbers like this
Step-by-step explanation:
2(5+3)
5 x 2 and 2 x 3
10 + 6
16
How many equivalent fractions can you write for a given fraction?
Answer:
An infinite amount
Step-by-step explanation:
Because numbers stretch on infinitely you literally can keep multiplying the starting value by numbers forever to keep equal fractions.
sarosh receives 8% commission on the final price of the clothing he sells . a customer bought a $45.00 coat the was marked 20% off and a $95.00 suit that was marked 30% off what would sarosh's commission be on that customers purchase?
Answer:
$8.2
Step-by-step explanation:
The final price of the coat = $45 -0.2 * $45 = $36
The final price of the suit = $95 − 0.3 * $95 = $66.5
sarosh's commission = 0.08 * ( $36 + $66 ) = $8.2
Which of the following segments is a radius a circle A
Bc
Ac
Cm
Rs
Answer: Segment AC (second choice)
The radius is the segment that goes from the center, point A, to a point on the circle (either B, C or M). Since AB and AM aren't mentioned, this means that only AC is a radius of the four answer choices listed.
2x2+5x-12 solve this equation
The expression 2x²+ 5x - 12 has infinite many solutions
How to detemrine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
2x²+ 5x - 12
The above is an expression and not an equation
This means that it has infinite many solutions
Hence, the expression 2x²+ 5x - 12 has infinite many solutions
Read more about expressions at
https://brainly.com/question/30492964
#SPJ2
13/10 of a number is what percentage of that number?
[tex]\dfrac{13}{10}=\dfrac{13}{10}\cdot100\%=13\cdot10\%=130\%\\\\\dfrac{13}{10}\ \text{of a number is}\ 130\%\ \text{of a number}.[/tex]
Answer:
130%
Step-by-step explanation:
Hi what’s 7 times 8 again?
Answer:
the ansnwer is 56
mark as brainlest please!!
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Add 7, 8 times and you'd get 56
(-2ab+a-2)-(2ab+3) find the difference
Suppose the radius of a circle is 3 units. what is its circumference ?
Answer:
18.84 (or 19 to 2.s.f)
Step-by-step explanation:
The formula for the circumference of a circle is π * diameter. To find the diameter you multiply the radius by 2:
3 * 2 = 6
Then simply plug the value into the formula:
π * 6 = 6π ≈ 18.84 ≈ 19 to 2.s.f
Answer:The answer is 18.84
Step-by-step explanation:To figure out the circumference of a circle you need to divide the radius by 2. After that you would do [tex]2\pi * ( your number )[/tex] * 2
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages, is this proportional? Explain
Answer:
Yes it is proportional.
Step-by-step explanation:
35/1 is the same thing as 70/2, as well as 105/3, because they all simplify to 35/1.
What percent of 94 is 47
Answer:
50%
Step-by-step explanation:
47 is half of 94 which is the same thing as 50% of 94
Answer:
94% of 47 is just 47 x 0.94 ¯\_(ツ)_/¯
So 44.18
Please mark brainliest which would help alot.
Step-by-step explanation:
Which of these is a tax form that employers send to their employees?
A. W-2 form
B. 1040EZ form
C. Tax schedule form
Answer:
A. W-2 form
Step-by-step explanation:
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 24? A) 26 B) 28 C) 30 D) 32
CORRECT ANSWERS ONLY, ILL MARK YOU THE BRAINLIEST!!!!!!!!!
Hi There!
Answer:
B) 28
Step-by-step explanation:
y = 12 and x = 14 are both proportional.
y = 24 and x = ? are both proportional.
You notice that 24 is twice as much as 12 so we do the same with x.
14 * 2 = 28
They are both proportional when y = 24 and x = 28.
Hope This Helps :)
Answer:
B) 28
Step-by-step explanation:
The equation for direct proportion is
y= kx
If y =12 and x =14
12 = k * 14
Divide each side by 14
12/14 = k
Simplifying
6/7 =k
y =6/7 x
Now if y =24
24 = 6/7 x
Multiply each side by 7/6 to isolate x
24 * 7/6 = 7/6 * 6/7 x
28 =x
Use a number line to find the absolute value of -3 and 3
Answer:
3
Step-by-step explanation:
If you look at this number line, all you have to do is count how many times it takes to get from -3 to 3. And you get 3.
Find the simple interest and the total amount after three years. Principal =11,750= 11 =11,750 rupees Annual rate of interest 7.5%= Total interest == = rupees Total amount = = = rupeesFind the simple interest and the total amount after three years. Principal =11,750= 11{,}750 =11,750 rupees Annual rate of interest=7.5%=Total interest rupees Total amount rupees
The simple interest after three years is ₹2625 and the total amount is ₹14,375.
Explanation:To find the simple interest and total amount after three years, we can use the formula:
Simple Interest = Principal × Rate × Time
Total Amount = Principal + Simple Interest
Given that the Principal is ₹11,750 and the Annual Rate of Interest is 7.5%, we can calculate the Simple Interest by substituting these values into the formula:
Simple Interest = ₹11,750 × 0.075 × 3
After calculating, we find that the Simple Interest is ₹2625.
To find the Total Amount, we can use the formula:
Total Amount = Principal + Simple Interest
Substituting the values into the formula, we get:
Total Amount = ₹11,750 + ₹2625
After calculation, the Total Amount is ₹14,375.
please answer this properly and correctly
at the beginning of school, we had 40 algebra books. We increased our supply by 65%. how many algebra books does the school have now?
Consider the sequence 130, 143, 156, 169, ... Write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.
Answer:
a(n) = 130 + (n-1) 13
13th term = 286
Step-by-step explanation:
We are given a sequence of numbers: 130, 143, 156, 169, ... and we are to write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.
We know that the arithmetic sequence can be defined by:
[tex]a_n=d(n-1)+c[/tex]
where [tex]d[/tex] = the common difference between consecutive terms ; and
[tex]c[/tex]=[tex]a_1[/tex]
13th term:
[tex]a_{13}=130+(12)13 = 286[/tex]
Therefore, the formula for this sequence will be a(n) = 130 + (n-1) 13 and 13th term is 286.
Carrie buys 6.2 yards of blue fabric and 5.4 yards of red fabric.If the blue and red fabric costs the same amount per yard,and Carrie pays $58 for all of the fabrics ,what is the cost per yard ?
Answer:
5.00 a yard
Step-by-step explanation:
5.4 + 6.2 = 11.6
58.00 divided by 11.6 =
5
5.00 a yard
Answer:
$5 per yard
Step-by-step explanation:
Add 6.2 and 5.4
You get 11.6
Divide 11.6 by 58
The answer is 5
graph the solution to the inequality 2x-3y<18
<, > - dotted line
≤, ≥ - solid line
[tex]2x-3y<18\qquad\text{subtract 2x from both sides}\\\\-3y<-2x+18\qquad\text{change the signs}\\\\3y>2x-18\qquad\text{divide both sides by 3}\\\\y>\dfrac{2}{3}x-6\\\\y=\dfrac{2}{3}x-6-\text{It's a linear function}\\\\for\ x=0\to y=\dfrac{2}{3}(0)-6=0-6=-6\to(0;\ -6)\\\\for\ x=6\to y=\dfrac{2}{3}(6)-6=2(2)-6=4-6=-2\to(6;\ -2)[/tex]
marco wants to invest his savings in a bank for 3 years. he has £15000 to invest and recieves offers from two banks: bank of peace= 2.5% a year compound interest or bank of trust= 3.8% for 1st year 1% extra for each extra year. which bank should marco choose to get the most interest over the three year period? you must show all your working
Bank of Peace= 15000(1+0.025)³=£16153.36
Bank of Trust=15000(1+0.038)=£15570
£15570(1+0.01)=£15882.95
Bank of Peace is the best choice.
I would choose the Bank of Peace to get the most of my savings.
Formula for calculating the compound value of the savings at the Bank of Peace = FV = P (1 + r)^n
FV = Future value
P = amount deposited
R = interest rate
N = number of years
£15,000 x (1.025)^3 = £16,153.36
Interest earned at the Bank of Trust in the first year = £15,000 x 0.038 = $570
Total amount at the end of the first year = $570 + £15,000 = £15,570.
Value for the two extra years = $15,570 x (1.01)^2 =$15,882.96
To learn more, please check: https://brainly.com/question/14640433
One number is 7 more than another.The difference between their squares is 217.What are the numbers?
The problem where one number is 7 more than another and their squares differ by 217 can be solved by creating a system of equations and simplifying to find the numbers are 12 and 19.
Explanation:To solve the problem where one number is 7 more than another and the difference between their squares is 217, we can create a system of equations. Let's assume the first number is x and the second number is x+7. The problem then translates to the equation (x+7)² - x² = 217.
Step-by-step solution:
Expand the left side of the equation: (x+7)² - x² = (x² + 14x + 49) - x².Cancel out the x² terms: 14x + 49 = 217.Subtract 49 from both sides: 14x = 168.Divide both sides by 14: x = 12.Therefore, the first number is 12 and the second number is 12 + 7 = 19.After computing the solution, we find that the two numbers are 12 and 19.
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
see explanation
Step-by-step explanation:
(1)
to calculate the slope m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (18, - 5)
m = [tex]\frac{-5+5}{18+2}[/tex] = [tex]\frac{0}{20}[/tex] = 0
(2)
divide number of miles travelled by number of gallons used
= [tex]\frac{132}{6}[/tex] = 22 miles per gallon
use the substitution method to solve the system of
equations.choose the correct ordered pair.
3x+y=10
y=x-2
A.(4,2)
B.(5,3)
C.(2,0)
D.(3,1)
Answer:
I THINK THE ANSWER IS D
TELL ME IF I"M WRONG
Step-by-step explanation:
What value of $k$ will make $4x^2 - 20x + k$ the square of a binomial?
Answer:
k = 25
Step-by-step explanation:
(2x - sqrt(k) )^2 Expand this as a binomial
4x^2 - 4x*sqrt(k) + k The middle term must be -20x Solve for k so it is
-4xsqrt(k) = - 20x Divide by -4x
sqrt(k) = -20x/-4x Do the division
sqrt(k) = 5 Square both sides
k = 25
Problem 2: Toshi estimates that she needs 2 minutes to read one page. How many minutes longer did she spend reading the 304-page book than Kira-Kira? Explain how you found your answer.
Which algebraic expression repesents the phrase? Cindy studied seven more hours than Nikki studied. a. n+7 b. 7-n c. 7n d. n/7
Answer:
Option a is the correct choice.
Step-by-step explanation:
Let n be number of hours studied by Nikki.
We are told that Cindy studied seven more hours than Nikki studied. This means that number of hours studied by Nikki plus 7 hours equals to the number of hours studied by Cindy.
We can represent this information in an expression as :
[tex]\text{The number of hours studied by Cindy}=n+7[/tex]
We can see from our given choices that expression given in option a represents the number of hours studied by Cindy in terms of hours studied by Nikki.
Therefore, option a is the correct choice.
A skydiver falls 144 feet in 3 seconds. How far does he fall per second
Answer:
144/3=48 ft per sec
Step-by-step explanation:
Answer:
48 per second
Step-by-step explanation:
if you divide 144 by 3 you get 43
Catalina uses a 3 1/2 ounce packet of seasoning for her steaks. The packet contains of 1 1/3 ounces of garlic powder and 1 1/4 ounces of onion powder. The remainder of the packet consists of black pepper. How many ounces of black pepper are in the packet of seasoning?
Answer:
11/12
Step-by-step explanation:you have to turn all the mixed numbers into improper fraction so 1 1/3 is 16/12 1 1/4 is 15/12 and if you add them you get 2 7/12 and that minus 3 6/12 is 11/12
There are 11/12 ounces of black pepper in Catalina's seasoning packet.
Catalina uses a 3 1/2 ounce packet of seasoning for her steaks.
This packet contains 1 1/3 ounces of garlic powder and 1 1/4 ounces of onion powder.
To find out how many ounces of black pepper are in the packet, we need to subtract the combined weight of the garlic and onion powders from the total weight of the seasoning packet.
Garlic powder: 1 1/3 ounces = 4/3 ounces
Onion powder: 1 1/4 ounces = 5/4 ounces
Total seasoning packet: 3 1/2 ounces = 7/2 ounces
We then add the amounts of garlic and onion powders to get their combined weight:
4/3 + 5/4 = (16 + 15) / 12 = 31/12 ounces
The next step is to subtract the combined weight of the garlic and onion powder from the total weight of the seasoning packet:
7/2 ounces - 31/12 ounces = (7\*6 - 31) / 12 = (42 - 31) / 12 = 11/12 ounces.
jim and Jon are painting a fence. Jon painted 1/4 of the fence. Jim painted 5/12 of the fence. how much of the fence did they paint in total?
Our first step is the find the lcm of 4 and 12 so we can add the two fractions without having a problem.
The lcm of 4 and 12 is clearly 12 because 12 is a multiple of 4. 12 divided by 4 is 3, so you must multiply by 3/3 to be able to add the two fractions.
1/4*(3/3)=3/12.
So, 3/12+5/12=7/12.
Jim and Jon painted 7/12 of the the fence.
Answer:
2/3 of the fence
Step-by-step explanation:
Jim painted 1/4 of the fence
Jon painted 5/12 of the fence
Together they painted
1/4+5/12 of the fence
We need a common denominator to add the fractions
The common denominator is 12
1/4*3/3 + 5/12
3/12 + 5/12
8/12
This can be simplified by dividing the top and bottom by 4
2/3
Together, they painted 2/3 of the fence.