Answer:
y=9, x=7
Step-by-step explanation:
2x-y=5 --> equation 1
2x-5y=-31 --> equation 2
change signs of equation 1
-2x+y=-5
solving method
-2x+y=-5 (cut -2x and 2x because -2x+2x =0)
2x-5y=-31 (likewise +y-5y and -5-31)
-4y= -36 (since -4 is multiplying on right side it will divide)
y= -36/-4 (cut negative with negative and simplify equation)
y= 9
put value of y in equation 1
2x-y=5
2x-9=5
2x= 14
x=14/2
x=7
2. Theorem 2-10 states that through a point not on a line, there
is one and only one line parallel to the given line. How does this
justify the construction of the line through C that is parallel to
the line AB?
When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.
When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.
The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.
Visit: https://brainly.com/question/17967521
5x+2y=10
slope=________
y-intercept=_________
y=x
slope=________
y-intercept=_________
Answer:
A) -5/2 and 5
B) 1 and 0
Step-by-step explanation:
y=mx+b is the standard form: m is the slope and b is the y-intercept.
5x+2y=10
y = -(5/2)x + 5 [Rearrange to standard format]
slope__-5/2__
y-intercept__5___
===========
y=x
Slope = 1
Y-intercept = 0
Dylan brought his DVD set of The Sleuth in the Shadows Saga to a secondhand store to sell. He was paid cash for all 4 DVDs in the set. Before he left, Dylan used $16.40 of his earnings to purchase a backpack. He had $3.60 remaining. How much did Dylan receive for each DVD in the set?
Answer: 5$
Step-by-step explanation:
In order to get the total, you would need to add the total spen on the backpack and the amount remaining and then you would divide that by 4 ( for all of the DVDs in the set)
I need help please
Which value is the closest to
0.9 • 997
a. 1,000
b. 81
c. 10,000
d. 10
Answer with supporting work:
What are the variables in the equation 2x - 10 + 5y?
in what time is sum of money triples itself at 5%p.a
Answer:
Step-by-step explanation:
40 years
6th attempt on posting this question and getting an answer :,)
Help haha..?
Answer:
GCF: (x + 2)(9x + 6)
Step-by-step explanation:
Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:
Solution:Since (x + 2) are common between the two groups, then we can group 9x and 6 together.
In other words:
= 9x(x + 2) + 6(x + 2)
= (9x + 6)(x + 2)
If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:
(9x + 6)(x + 2)
= 9x² + 18x + 6x + 12
= 9x² + 24x + 12
Verify Solution:In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:
Given: 9x(x + 2) + 6(x + 2)
Distribute 9x and 6 into the parenthesis:
= 9x² + 18x + 6x + 12
Combine like terms:
= 9x² + 24x + 12 ⇒ As we can see, this trinomial matches our solution.
Therefore, the correct answer is: (x + 2)(9x + 6).
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS
Answer:
The Forth Answer
Step-by-step explanation:
I Think That Is correct
A rectangular briefcase is 16 1/2 inches wide, 12 3/4 inches tall, and 5 inches deep. What is the volume of the briefcase?
please help i will mark as brainlyst
Answer: 1051.875 inches^3
Step-by-step explanation:
To find the volume of the briefcase, we'll use the formula: L*W*H where;
L = Length
W = Width
H = Height
So we'll have (16.5×12.75×5) inches^3
Which will give 1051.875 inches^3
4 people can trim a hedge in one hour.
How long would it take 3 people?
Give your answer in minutes.
Answer:
The total time taken by 3 men to trim the hedge would be 80 minutes.
Step-by-step explanation:
1) The time taken by 4 men to trim the hedge is 1 hour or 60 min.
2) One me would take 4 times more time alone i.e. Time taken by only one man would be 4 hours or 240 min.
3) The time taken by 3 men would be 3 times less than time taken by one man i.e. 240/3=80 min.
#of people = 4
time taken for 4 ppl = 1hr / 60mins
# of people = 3
time taken = 1/x
4 - 1/60
3 - 1/x
cross multiply
x=60/3*4
x=80
hope this helps :)
mark me brainliest :D
Perform the indicated operation.
-274 -9
I need help
ItxAlex
Hope It Helps
A L E X
Answer:
-274 or just 274? I can't tell if u put "-" to pinpoint the question or if it's a negative number
A single basket basketball match will be organized by forming 3 teams in equal numbers from a group of 9 students. In how many ways can these three teams be formed?
~combination
[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]
[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]
[tex] \large \sf = \frac{9!}{6!.3!} [/tex]
[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]
[tex] \large \sf = \frac{362880}{720.6} [/tex]
[tex] \large \sf = \frac{362880}{4320} [/tex]
[tex] \large \sf = \boxed{84}\: ✓[/tex]
~ nice to help you ^^
if 2 pints of milk cost £ 1.40, how much will 7 pints of milk cost
Answer:
£4.9
Step-by-step explanation:
1.40 x 3 = 4.2
1.40/2=.7
4.2+.7= £4.9
Determine whether each function is even, odd, or neither.
f(x) = x²_9
g(x) = |x-3
f(x) = 22-1
g(x) = x + x2
notah decides to buy a new phone.He pays $ up front and then will pay the same amount each month for 8 months.The total cost of the phone is $600.How much will Notah pay each month?
Answer:
75 dollars a month
Step-by-step explanation:
To find The amount we need to divide 600 by 8 which gives us 75
Answer:
75
Step-by-step explanation:
600 divided by 75 = 8 so his rent fee will be 75 a month
What is the probability that out of 125 babies born, at least 50 will be girls?
Assume that boys and girls are equally probable, and round your answer to the nearest tenth of a percent.
A. 70.4%
B. 99.0%
C. 10.5%
D. 51.2%
You're answer would be 99.0%.
Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 3 oranges and 7 apples for a total of $4.90. what is the total cost of the apple for two days ?
solve by factoring x^2+5-14=0
Answer:
Factored -> (x+7)(x-2)
Step-by-step explanation:
If you are solving for x then its x= -7, x=2
is this right ill give brainliest
Answer:
1. 3rd
2. 3rd
3. 1st
4. 1st
Answer:
no
Step-by-step explanation:
1. is right
2. is third-person
3. is right
4. is right
Please help- it's due in a week-
Answer:
100x + 150y = 3050
x + y = 23
Step-by-step explanation:
the other answer had the right start and equations, and then did not give the result.
so, here the full picture :
x + y = 23
100x + 150y = 3050
so, the first equation gives us
x = -y + 23
which we can now use in the second equation
100(-y + 23) + 150y = 3050
-100y + 2300 + 150y = 3050
50y = 750
y = 15 (15 adults)
x = -y + 23 = -15 + 23 = 8 (8 minors)
Can someone tell me the answer and how did you get it please !!!
Answer:
17.5
Step-by-step explanation:
180-110=70
70/4=17.5
Answer:
x=17.5
Step-by-step explanation:
Because a straight line is 180 degrees, subtract 110 from 180:
180-110= 70
Then divide 70 by 4:
70/4= 17.5
Hope this helps! :)
Questions. [Factorial]
3 + (2! × 2!) = ......
[tex]\\ \sf\longmapsto 3+2!2![/tex]
[tex]\\ \sf\longmapsto 3+2(2)[/tex]
[tex]\\ \sf\longmapsto 3+4[/tex]
[tex]\\ \sf\longmapsto 7[/tex]
[tex] \: \: \: \: \: [/tex]
[tex]⟹7[/tex]
Step-by-step explanation:
[tex]3 + (2! \times 2!)[/tex]
calculate the factorial[tex]3 + (2 \times 2)[/tex]
multiply the number[tex]3 + 4[/tex]
add the numbers[tex]⟹7[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
Five numbers with mean 4, mode 3, and range 9
Answer:
6,6,6,6,6
Step-by-step explanation:
You’d have to have an odd number of 6s and more than one, so either 3 or 6 of the numbers will have to be 6s
6, 6, 6, 6, 6
5, 6, 6, 6, 7 (the 5 and 7 could be replaced by 4/8, 3/9, 2/10, or 1/11 - as long as balance is preserved)
When surrounded by smaller circles, a center circle will appear ________ than if surrounded by larger circles.
When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.
PerceptionPerception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.
Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.
Learn more about perception in https://brainly.com/question/7337201
is the negative square root 400 rational or irrational
Answer:
Step-by-step explanation:
Rational
Answer:
Rational
Step-by-step explanation:
20 x 20 is 400 so 20 is a rational number
Solve for x.
0.6x = 4.8
Enter your answer in the box.
x =
Answer:
x= 8
What I Did:
First I turned them into whole number so I turned 0.6 into 6 and 4.8 into 48
Then I divided 48 by 6 which was 8
You can also add 0.6 as many times until you get to 4.8 but then you're just wasting time.
Answer: x = 8
Step-by-step explanation:
The value of x varies directly with y, and when x=1/3,y=5
Answer: y = 36x
Step-by-step explanation: Given that x and y vary directly then the equation relating the is
y = kx ← k is the constant of variation
To find k use the condition x = , y = 12, then
k = = = 12 × 3 = 36
y = 36x ← equation of variation
What is the equivalent expression to 0.18 - 22/49
what is the value of (1/16)^-1/4
Answer:
4^-5
Step-by-step explanation:
(1/16)^-1/4
(1/4)^4-1/4
4^-4-4^-1
4^-5
Help please quick I don’t understand this stuff
Hello,
(i) Express n as the subject.
[tex]C=\frac{nA}{n+12}[/tex]
[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]
(ii)
Since C = 6 mL and n = 8 we need to solve this equation of unknown A :
[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]
Thus, the equivalent adult dosage A would be 15 mL
(iii) I let you think about this one
Good Luck