The given equation is derivable from the system of equations.
Response:
The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.Method by which the relationship between the equations was determinedGiven:
The system of equation is presented as follows;
[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]
Therefore, by subtracting equation (2) from equation (1), we have;
(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions
13·x - 13·y = 29 - 55 = -26
13·x - 13·y = -26, which is the given equation
Given that the operation performed on equation (1) and (2) is the
subtraction of equivalent expressions, we have, that the solution for the
given equation, 13·x - 13·y = -26 is the same as the solution for given
system of equations.
The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;
D. because -3·x + 10·y is equal to 55, I can subtract -3·x + 10·y from the left side of 10·x - 3·y = 29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equationLearn more about simultaneous equations here:
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Solve the equation for x :
4(x-3)-6=x+6
I don't really know how to do this when there is an = sign in it please help me.
Solve for x: 0.4x+3.8=1.6x+1.2-0.6x
please help me!
The cost of bananas, y, is directly
proportional to x, the pounds of bananas
purchased. If 2.5 lbs of bananas costs
$1.50, find the total cost of a lbs of
bananas.
The equation is y = 0.60x. Then the total cost of 9 lbs of bananas will be 5.4 lbs.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The cost of bananas, y, is directly proportional to x, the pounds of bananas purchased. Then the relationship is given as,
y ∝ x
y = kx
Then the relationship between 'x' and 'y' will be linear. If 2.5 lbs of bananas cost $1.50. Then we have
1.50 = k (2.5)
k = 0.60
Then the equation is given as,
y = 0.60 x
Then the total cost of 9 lbs of bananas will be given as,
y = 0.60 (9)
y = 5.4 lbs
The equation is y = 0.60x. Then the total cost of 9 lbs of bananas will be 5.4 lbs.
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36 is 70% of what number
Rewrite 19/8 as a mixed number.
Answer: 2 3/8
I got an A
Answer:
2 + 3/8
Step-by-step explanation:
Therefore we get 19 / 8 = 2 + 3/8 , which is written as 2 3/8 , called a mixed number. To convert 19/8 you do division; 8 into 19 goes 2 times with 3 left over; so 2 3/8.
Need help I will give you brainless please
Answer:
B 5000
Step-by-step explanation:
0.15x + 500 = 0.10x+750
0.15x = 0.10x + 250
0.05x = 250
x = 5000
PLEASE I NEED HELP RIGHT NOW!!!
The altitude of an airplane is decreasing at a rate of 44 feet per second. What is the change in altitude of the airplane over a period of 37 seconds?
A. -1,628 feet
B. 81 feet
C. -81 feet
D. 1,628 feet
Answer:
1628
Step-by-step explanation:
Answer:
Either A or D. But I'd vote on A. Hope this helps! :)
Step-by-step explanation:
PLS MARK BRAINLEST!!!Please help
(and explain how you got the answer)
Solve for x.
1/4 + 1/2 + x = −3/4
Enter your answer in the box.
x =
Answer:
x=-1.5
Step-by-step explanation:
To solve for x, you need to rearrange so the x is on one side of the "=" by itself.
So To do that, first you need to subtract 1/4 on both sides of the "=". This leaves you with 1/2+x=-3/4-1/4. You can simplify the -3/4-1/4 to -1 (-4/4). So, you now have 1/2+x=-1.
The next step is to subtract 1/2 on both sides of the "=". This leaves you with x=-1-1/2. Again, you can simplify the -1-1/2 to -3/2 which can be written as -1.5. So, you now have x=-1.5, which is the final answer.
The question may ask you to write your answer in the form of a fraction, in which case your answer x=-3/2. If the questions wants it written as a mixed number, your answer would be -1 1/2.
I have attached a photograph of this method written out using the funnel technique.
A bank randomly surveyed 50 of its customers by mail to find out how customers use its mobile banking service. The survey found that only 11 of the 50 customers used the service.
If the branch has 1,700 customers, about
customers use the mobile banking service.
22 percent of the costumers used the service
and 78 percent didnt
Answer:
374
Step-by-step explanation:
Add −12 + 7.
options:
19
−5
−19
5
Answer:
[tex] - 12 + 7 = - 5[/tex]
I hope I helped you^_^
How many solutions are there for this equation? Why?
Answer:
d
Step-by-step explanation:
currently get paid $12.00 an hour and I really want to make an extra $300.00 by working overtime. I'll need to work __________ extra hours
Answer:
25
Step-by-step explanation:
300/12 = 25
Complete the multiplication problem to find the answer
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
A circle on the coordinate plane has a diameter
with endpoints at (6, 8) and (15, 8).
a. What are the coordinates of the center of the
circle?
b. What is the diameter of the circle?
C. What is the radius of the circle?
d. Identify the coordinates of another point
on the circle. Explain how you found
your answer.
9514 1404 393
Answer:
a. (10.5, 8)
b. 9
c. 4.5
d. (10.5, 12.5)
Step-by-step explanation:
a. The center of the circle is the midpoint of the diameter. Its coordinates are the average of the end point coordinates.
C = ((6,8) +(15, 8))/2 = (21, 16)/2 = (10.5, 8) . . . circle center
__
b. The diameter lies on the horizontal line y=8, so its length is the difference of the x-coordinates of the end points: 15 -6 = 9 . . . circle diameter
__
c. The radius is half the diameter: 9/2 = 4.5 . . . circle radius
__
d. Another point on the circle will be 4.5 units from the center on the same vertical line: (10.5, 8) +(0, 4.5) = (10.5, 12.5) . . . another point on the circle
Martha walks at a rate of 1.5 miles per hour. if he walks for 3/4 of an hour, how many miles will she walk?
Answer:
Martha will walk 1.125 miles.
Step-by-step explanation:
3/4 = 0.75
1.5 * 0.75 = 1.125
how do you solve this (first equation) x=2y-1 (second equation) x+y=40
Answer:
[tex]x = 26 \frac{1}{3} \\ [/tex]
[tex]y = 13 \frac{2}{3} \\ [/tex]
Step-by-step explanation:
x = 2y - 1
x - 2y = -1 ________(1)
x + y = 40________(2)
(2) - (1)
[tex]x + y - (x - 2y) = 40 - ( - 1) \\ x + y - x + 2y = 40 + 1 \\ 3y = 41 \\ y = \frac{41}{3} \\ y = 13 \frac{2}{3} \\ [/tex]
y = 13 2/3
[tex]x + y = 40 \\ x + 13 \frac{2}{3} = 40 \\ x = 40 - 13 \frac{2}{3} \\ x = 40 - \frac{41}{3} \\ x = \frac{3(40) - 41}{3} \\ x = \frac{120 - 41}{3} \\ x = \frac{79}{3} \\ x = 26 \frac{1}{3} \\ [/tex]
What is 2.4 as a natural number
10 points and probably a mark of BRAINIEST if I can
Answer:
No
Step-by-step explanation:
Natural numbers are whole numbers that are common such as 1,2,3,4,5, and etc..
Answer:
I'd say the answer is 2 because you can not have a decimal figure as a natural number.
5. The box plot summarizes the test scores for 100 students: u 55 60 65 70 75 80 85 90 95 100 Which term best describes the shape of the distribution? a. bell-shaped C. skewed b. uniform d. symmetric
The shape of the distribution describes that distribution as skewed distribution. Option C is correct.
Given that,
The box plot summarizes the test scores for 100 students: u 55 60 65 70 75 80 85 90 95 100 Which term best describes the shape of the distribution is to be determined.
The box plot shape is used to indicate if a statistical particular set is either normally distributed or skewed.
Here,
There is a property of the box plot i.e. When the median is in the center of the box, and the whiskers are about the same on both flanks of the box, then the distribution is symmetric. when the median is anywhere to the box except the center, and if the whisker is more concise on the left or right end of the box, then the distribution is skewed.
Thus, the shape of the distribution describes that distribution as skewed distribution. Option C is correct.
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4/9x8/75
I do not get it
Answer:
124/ 225
see photos for step to step solution
1:50000
What distance is represented by Tem?
18cm
D
E
6.25cm
X
B
8cm
Jane Nane serigre ines
OP para
с
Net Groen
6cm
P
a
M
A
Som
N
Gom
15cm
Answer:
explain better
Step-by-step explanation:
I do not understand
It is 8383838
Mandy is making a bouqet of flowers. She goes to a flower shop and finds 3 types of rose, 2 types of peony, 3 types of lily and 5 types of carnation. She only wants to buy 2 flowers. How many possible flower combinations can she choose from?
Answer:
Mandy is making a bouqet of flowers. She goes to
Answer:
possible flower combinations can she choose from?
Step-by-step explanation:
possible flower combinations can she choose from?
Effect on supply of pies when price of pies increase
A.
Movement down the curve
B.
Movement up the curve
C.
Curve shifts left
D.
Curve shifts right
Answer:c
Step-by-step explanation:i did it
682 x 257 plz heeellllp
Select the correct answer.
Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?
A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.
can you solve five ninths plus four sixths =
Answer:
five ninths plus four sixths is sixty six fifty four
Adam’s credit card calculates finance charges using the adjusted balance method and a 30-day billing cycle. The table below shows his use of that credit card over three months.
Date
Amount ($)
Transaction
4/1
626.45
Beginning balance
4/10
37.41
Purchase
4/12
44.50
Purchase
5/3
65.50
Payment
5/16
24.89
Purchase
5/20
104.77
Payment
6/6
23.60
Payment
6/10
15.00
Purchase
6/14
51.85
Purchase
If Adam’s credit card has an APR of 14.63%, what is Adam’s balance at the end of June?
a.
$629.42
b.
$629.66
c.
$627.27
d.
$628.40
Adam's balance at the end of June is $627.27
The adjusting balance method is used to determine the interest that would be paid by a credit card owner. The interest that would be paid is determined at the end of a period after all transactions have been adjusted for.
For example, if I have $100 in my credit card. If I buy a shoe worth $50 and deposit $20. My balance at the end of the month would be ($100 + $50 - $20) = $130.
Adam's balance can be determined by adding the amount he spent on purchases to the beginning balance and subtracting the payments he made.
$626.45 + $37.41 + $44.50 - $65.5 +$24.89 - $104.77 +$23.60 + $15 + $51.85 = $605.23
The balance at the end of the month would be the sum of the interest and the amount in his balance
Interest earned = balance x interest rate
Interest rate = 14.63% / 4 = 3.66%
Interest earned = $605.23 x 0.0366 = $22.14
Balance = $22.14 + $605.23 = $627.37
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Answer:
C
Step-by-step explanation:
627.27. Just had it on my test
Factor using the GCF: 49x - 7
Group of Choices:
5(x+7)
7(2x-7)
7(7x-1)
7(7x)
[tex]49x - 7[/tex]
Factor out 7 from the expression and remaining will be[tex]7(7x - 1)[/tex]
Hence,Option C is correct..The solution is: Option C is correct. Factor using the GCF: 49x - 7 is
7(7x-1).
Here, we have,
given that,
we have to factor using the GCF: 49x - 7.
we know that,
In mathematics, the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted {\displaystyle \gcd}.
so, we have,
49x - 7
now, we know,
7 * 7 = 49
and, 7 * 1 = 7
so, we get, the GCF of 49 and 7 is 7.
so, we have,
Factor out 7 from the expression and remaining will be.
7(7x-1)
i.e. 49x - 7 = 7(7x-1)
Hence, Option C is correct. Factor using the GCF: 49x - 7 is 7(7x-1).
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Write the following decimals and fractions from LEAST
TO GREATEST
.0.5, 0.9375,
11
12
1
Least common multiple of 168 and 76
Answer:
Best to draw out a factor tree.
Answer:
3192
this is the answer but if you need to show work then I can't help ya bud
What is the value of g(2)
Answer:
Its value is 9.8 m/s2
Answer:
9.8 m/s2
Step-by-step explanation:
