Answers
Answer:
B
Step-by-step explanation:
So we have the system of equations:
[tex]x-2y=3\\2x-3y=9[/tex]
To solve, we can use the substitution method. First, add 2y to both sides in the first equation:
[tex]x=3+2y[/tex]
Now, substitute this into the secon equation:
[tex]2(3+2y)-3y=9[/tex]
Distribute the 2:
[tex]6+4y-3y=9[/tex]
Combine like terms:
[tex]6+y=9[/tex]
Subtract 6 from both sides:
[tex]y=3[/tex]
So, the value of y is 3.
Substitute this back into the original equation to find x. Thus:
[tex]x=3+2(3)[/tex]
Multiply:
[tex]x=3+6[/tex]
Add:
[tex]x=9[/tex]
So, our answer is (9,3)
And we're done!
Related Questions
Which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis?
Answers
[tex]y=-|x|[/tex]
The [tex]a[/tex] value of an absolute value parent function deals with vertical stretches or compressions and it's relation with the x-axis.
Changing the [tex]a[/tex] value to its negative counterpart will reflect the graph over the x-axis (as shown in the picture).
Hope this helps.
頑張って!
A MANUFACTURER DETERMINES THAT THE COST OF MAKING A COMPUTER COMPONENT IS $4.141414. I NEED IT IN A FRACTION AS A MIXED NUMBER PLEASE ASAP!!!!!
Answers
Answer:
[tex]4 \frac{14}{99}[/tex]
Step-by-step explanation:
First off - chill with the caps dude.
Let's convert this to a mixed number.
We know that any one digit number divided by 9 will get us a repeating decimal of the number we divided by 9. For example, [tex]5 \div 9[/tex] will be [tex]0.\overline{55}[/tex].
The same goes for two digit numbers when they are over 99. [tex]32\div 99 = 0.\overline{32}[/tex]
So this means that to make [tex]0.\overline{14}[/tex] a fraction, we put 14 over 99.
[tex]\frac{14}{99}[/tex]
4 as a fraction is just [tex]\frac{4}{1}[/tex] but since they want it in a mixed number, we can just put a 4 in the beginning of the fraction.
So we get [tex]4 \frac{14}{99}[/tex].
Hope this helped!
what are the three integers all less than 25 whose range is 10 and mean is 13
Answers
Let x be the first integer , y be the second integer , and z be the third integer
x < y < z < 25
We know that
Median=13
Median=(x+y+z)/3
13=(x+y+z)/3
x+y+z=39------> equation 1
Range=10
The range is the difference between the largest number within the set and the smallest number in the set
So range=z-x
z-x=10------> z=x+10-----> equation 2
to find the solution we will assume different values of x (See the attached table)
terms
x < y < z < 25
z=x+10
y=39-z-x
The solution can be
7,15,17
8,13,18
9,11,19
hope it helps!
Continue each pattern with the next two numbers.
1.7,14,8,16,10,20,14,?
Answers
2. Find the fraction which is exactly halfway between 1/7 and 4/7
Answers
Answer:
That would be the fraction exactly between 2/7 and 3/7
which would be 2.5 / 7 or 5 / 14
Step-by-step explanation:
Which binomials are factors of x^2 + 4x – 12?
Select the two correct answers.
x - 3
x - 6
x - 4
x - 2
x + 3
X + 6
x + 2
x + 4
Answers
X=-6
X=2
Hope this helps
Answer:
x + 6 and x - 2
Step-by-step explanation:
Given
x² + 4x - 12
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 4)
The factors are + 6 and - 2, since
6 × - 2 = - 12 and 6 - 2 = + 4 , thus
x² + 4x - 12 = (x + 6)(x - 2) ← in factored form
A small town's raffle has 85 entries and 3 gift baskets that three different people could win. What is the probability of winning a gift basket if you have 1 of the entries? [1 point]
Answers
Answer: 3 / 85
Step-by-step explanation:
Given the following :
Number of gift basket = 3
Nunber of entries = 85
Probability of winning a gift basket if you have one of the entries :
With one entry, one has a chance of winning one of 3 gift baskets
Hence, the required outcome of one entry = 3
Total possible outcomes = number of entries = 85
P(winning a gift basket with one entry) :
Required outcome / Total possible outcomes
= 3 / 85
Also, it could be calculated thus ;
Probability of one entry from a total of 85;
= 1/ 85.
And one entry has a Chance of winning one of 3 different gift baskets
Hence (1/85 × 3) = 3/85
Answer:
Answer is 3/85.
Step-by-step explanation:
There is no need for one, periodt.
A temperature recorded in Antarctica was −123°F. The temperature recorded in the Sahara Desert was 135°F. How many degrees warmer is 135°F than −123°F
Answers
Answer:
The Sahara Desert is 258 °F warmer that Antarctica.
Step-by-step explanation:
Temperature at Antarctica = -123 °F
Temperature at the Sahara desert = 135 °F
The difference in temperature = 135 - (-123) = 135 + 123 = 258 °F
This means that the Sahara Desert is 258 °F warmer that Antarctica.
Answer:
258
Step-by-step explanation:
a + b = c
In which scenario will c always have a positive value?
(20 Points)
a is positive, and b is negative.
a and b are both positive.
a is negative, and b is positive.
a and b are both negative.
Answers
Answer:
When a and b are both positive c will always be positive
14a²b
7a²b
=
Simplify
Answers
Step-by-step explanation:
if14a^2b/7a^2b answer is 2
and if the sign is addition then the answer is21a^2b if subtraction answer is7a^2b
Please help this is just an assignment a few questions.
Answers
Answer:
A = (1/2)Cr
Step-by-step explanation:
You're supposed to observe that the circle area decomposes into what is approximately* a parallelogram with height equal to the circle radius and base equal to half the circumference. The area is then ...
A = bh
A = (1/2)Cr
If you fill in the formula for C, you find this matches the formula for the area of a circle:
A = (1/2)(2πr)(r) = πr²
_____
* In the limit, as the number of sectors approaches infinity, this is exactly a parallelogram.
Which is not part of the line segment diagram below? Pleaseee Helpp
Answers
Answer:
B....…....…..…..…..……..…..…..…the answer is B
Step-by-step explanation:
acute angle DOG with a measure of 45
Answers
Step-by-step explanation:
angle of 45° is drawn.
I hope you got it.
a) through (7, 1) and perpendicular to y=-x+ 3
Answers
Step-by-step explanation:
Two lines that are perpendicular to each other has -1 as the product of thir gradient.
Since the gradient of the line y = 3 - x is -1, the gradient of the other line must be 1.
So y = x + c.
When x = 7, y = 1. 1 = 7 + c, c = -6.
Hence the equation of the line is y = x - 6.
When you switch your 8.5”x11” page from a portrait with 1” margins to landscape with 2” margins you lose how many square inches of writing space
Answers
Answer:
16.5 Squared Inches
Step-by-step explanation:
A 8.5''x11'' paper would be 7.5 in by 10 in with 1 inch margins. 7.5 x 10=75 in^2.
A landscape paper is 11''x8.5'' which would be 9 in by 6.5 in with 2 inch margins. 9 x 6.5=58.5 in^2.
75 inches squared-58.5 inches squared is 16.5 inches squared.
Therefore, you would lose 16.5 squared inches of writing space.
how to solve 4+y=9.5
Answers
Answer:
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ x \;=\; {5.5} $ } }\\[/tex]
Step-by-step explanation:
[tex]4+y=9.5[/tex]
Let's simplify this equation.
To solve this equation, we must first subtract 4 from both sides of the equation.
[tex]y+4-4=9.5-4[/tex]
Let's see what we got.
[tex]y=5.5[/tex]
Now you got your answer!
Hope this helps!
The value of y is 5.5 .
Given,
4 + y = 9.5
Equation : 4 + y = 9.5
Let's simplify this equation
To solve this equation, we must first subtract 4 from both sides of the equation.
Resultant equation :
4 - 4 + y = 9.5 - 4
0 +y = 5.5
Thus the value of variable y = 5.5 .
Know more about algebra,
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there are 5280 feet in a mile. what part of a mile, in decimal form, will you drive until you reach the exit? pls someone help
Answers
Answer:
12
Step-by-step explanation:
you have to add everything
Solve.
(-k) + k =
A. 0
B. k
C. -2k
D. 2k
Answers
Answer:
the correct answer is 0
Step-by-step explanation:
mark as me brainlist
Answer:
Answer is A. 0
Step-by-step explanation:
I hope you
Find the product. 2 · 14 = a0
Answers
Answer:
28
Step-by-step explanation:
Because the . Stands for multiplication so 14×2 is 28
william is using a 1.75-liter container to fill a 14-liter container of water. about how many times will he need to fill the smaller container?
please question?!!!
Answers
Answer:
x=8
Step-by-step explanation:
It is given that, William is using a 1.75-liter container to fill a 14-liter container of water. We need to find how many times will he need to fill the smaller container?
Let x times he fill the smaller container. It can be calculated by dividing the larger value by the smaller value.
[tex]x=\dfrac{14}{1.75}\\\\x=8[/tex]
So, 8 times he needs to fill the smaller container.
The letter B represents a nonzero constant. Solve bx= -7 for x
Need help ASAP!!!!
Answers
Answer:
X=-7/B but I'm not sure if more steps are required for full simplification.
When you add a positive number and a negative number, how can you tell whether the sum will be positive or negative? A. The sum will always be negative. B. The sum will always be positive. C. The sum will have a sign of the addend with the lesser absolute value. D. The sum will have the sign of the addend with the greater absolute value.
Answers
Answer:
Its C
Step-by-step explanation:
The sign of the resultant value will depend upon added values and the sum will have the sign of the addend with the lesser absolute value so the correct option will be (C).
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
In other words, the summation is the addition or subtraction of any two or more terms. As a result, we have a new result that may be large or little, depending on the quantity.
In given question
Let's suppose we add +5 + (-7) = -2 so here the sign is negative because the 5 is greater than the -7 so it is clear by this example that the sign of the addend with the lesser absolute value.
For more information about summation
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Someone help, it’s 3:00 am and I gotta get this done and I’m so tired just someone help me, please.
Answers
Answer:
1) 31.1
2) 2.5
3) 1.6
4) 0.9
5) 5120
6) 1.7
7) 972
8) 0.02
Step-by-step explanation:
In this expression Marianna claims that 2X And negative X are not like terms because -x doesn't have a coefficient.Is she correct?Explain your reasoning
Answers
Answer:
She is incorrect
Step-by-step explanation:
Given:
2x and -x
Required
Like term or not?
Like terms are determined by the term itself and not by their coefficients;
Take for instance;
[tex]x^2[/tex] and [tex]2x[/tex] are not like terms because a term has square while the other doesn't
Another instance;
[tex]-3x[/tex] and [tex]2x[/tex] are like terms because they both have the presence of just 1 x
In Marianna's case;
2x and -x are like terms;
Reason being that: -x can be rewritten as -1x; giving it a coefficient of -1
After Luca took his dogs for a walk, he gave them 6 dog treats. When Luca's dad got home from work, he gave the dogs t more treats. All together that day, Luca's dog got 10 dog treats. Write an equation to describe this solution. How many dog treats did Luca's dad give the dogs?
Answers
Answer:
Luca's Dad gave Luca's Dog 4 treats
Step-by-step explanation:
Equation:
6 + x = 10
Step 1:
x = 10 - 6
Answer:
x = 4
Hope This Helps :)
10 rational numbers between -2 and 1/8
Answers
Answer:
there should not be negative number in rational number
Evaluate k ^5 · m If k=2 and m=5
Answers
Answer:
160
Step-by-step explanation:
We are given the equation:
k^5 * m
and asked to evaluate for k=2 and m=5. Therefore, we must substitute 2 for k and 5 for m.
(2)^5 * 5
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Evaluate the exponent first.
—> (2)^5 = 2*2*2*2*2= 32
32 *5
Multiply 32 and 5.
160
The expression: k^5 * m when evaluate for k=2 and m=5 is equal to 160.
find the midpoint (-3,0), (8,-10)
Answers
Answer:
Let the midpoint be M(x,y)
x=(-3+8)/2
x=5/2=2.5
y=(0-10)/2
y= -10/2= -5
M(2.5, -5)
On average, water flows over a particular water fall at a rate of 2.05 x 105 cubic feet per second. One cubic foot of water weighs 62.4 lb. Calculate the rate of water flow in tons of water per day. (1 ton = 2200 lb)
Answers
Answer:
5.024 × 10^8 tons /day
Step-by-step explanation:
This question has to deal with conversion
We are told in the question that:
On average, water flows over a particular water fall at a rate of 2.05 x 10^5 cubic feet per second.
Water flow rate = 2.05 × 10^5 ft³/s
From the question,
One cubic foot of water weighs 62.4 lb.
1 ft³ = 62.4 lb
1 ton = 2200 lb
We are to calculate the flow rate in tons per day
Hence,
1 ft³ = 62.4 lb
2.05 × 10^5 ft³ =
Cross Multiply
2.05 × 10^5 × 62.4
= 12792000lb
Hence the water flow rate = 12792000lb/s
From the question,
2200 lb = 1 ton
12792000 Ib =
Cross Multiply
12792000lb × 1 ton/2200 lb
= 5814.5454545 tons
Hence the water flow rate = 5814.5454545 tons/second
We want the flow rate to be in tons/day
1 ton / second = 86400 tons / day
5814.5454545 tons/second = x tons/ day
Cross Multiply
x = 5814.5454545 tons/second × 86400 tons /day/ 1 ton / second
= 502376727.27 tons/day
= 5.0237672727 × 10^8 tons/day
Approximately ≈ 5.024 × 10^8 tons /day
Therefore, the rate of water flow in tons of water per day is 5.024 × 10^8 tons of water /day
I turned the dial on my stove 45 degrees from the start position If i continue to turn the dial how many degrees further will i need to rotate it to return to the start position.
Answers
Answer:
315 degrees
Step-by-step explanation:
360 degrees make a full circle, and since you've already turned 45 degrees, you will need 315 degrees more.
Answer:
Hey!
To turn it all the way to its starting position is the same as turning it 360 DEGREES...so your answer will be 315 DEGREES MORE!
Step-by-step explanation:
PROOF : 315 + 45 = 360 OR 360 - 45 = 315
HOPE THIS HELPS!