Answer:
Therefore, the values of "x" and "y" are -1000/312 and -115/39 respectively.
Step-by-step explanation:
★ Solution :-[tex] \sf \leadsto 8x - 7y = -5 - - - (i)[/tex]
[tex] \sf \leadsto -x + 4y = -15 - - - (ii)[/tex]
By first equation,
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x = -5 + 7y[/tex]
[tex] \sf \leadsto x = \dfrac{-5 + 7y}{8} [/tex]
Now, we can find the original value of y.
[tex] \sf \leadsto -x + 4y = -15[/tex]
[tex] \sf \leadsto \bigg( \dfrac{-5 + 7y}{8} \bigg) + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y}{8} + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y + 32y}{8} = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 39y}{8} = -15[/tex]
[tex] \sf \leadsto -5 + 39y = -15(8)[/tex]
[tex] \sf \leadsto -5 + 39y = -120[/tex]
[tex] \sf \leadsto 39y = -120 + 5[/tex]
[tex] \sf \leadsto 39y = - 115[/tex]
[tex] \sf \leadsto y = \dfrac{ - 115}{39} [/tex]
Now, we can find the original value of x.
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x -7 \bigg( \dfrac{ - 115}{39} \bigg) = -5[/tex]
[tex] \sf \leadsto 8x + \dfrac{805}{39} = -5[/tex]
[tex] \sf \leadsto \dfrac{312x + 805}{39} = -5[/tex]
[tex] \sf \leadsto 312x + 805 = -5(39)[/tex]
[tex] \sf \leadsto 312x + 805 = -195[/tex]
[tex] \sf \leadsto 312x = -195 - 805[/tex]
[tex] \sf \leadsto 312x = -1000[/tex]
[tex] \sf \leadsto x = \dfrac{-1000}{312} [/tex]
[tex]\textsf {\underline{Answer-}}\\[/tex]
Therefore, the values of x and y are -1000/312 and -115/39 respectively.
Question 3 options:
Balance the equation. What coefficient goes in from of N2?
___N2 + H2 → NH3
Balance the equation. What coefficient goes in from of H2?
N2 + ___ H2 → NH3
Balance the equation. What coefficient goes in from of NH3?
N2 + H2 → ___NH3
Answer:
For N2= 1
For H2=3
For NH3=2
PLS HELP! Will give brainliest!
Answer:
yes they are inverses.
a.). x
Step-by-step explanation:
that's all
Evaluate the expression
please mark this answer as brainlist
Sara says, "If you subtract 12 from my number and multiply the difference by - 3, the result is
- 45." What is Sara's number?
Answer:
3
Step-by-step explanation:
Answer:
[tex]27[/tex]
Step-by-step explanation:
Let Sara's number be [tex]x[/tex]. Now, we can build an equation.
We have that [tex]-3(x-12)=-45[/tex]. Aha! Now we have a path to the solution!
We can divide both sides of the equation by [tex]-3[/tex] to get [tex]x-12=15[/tex].
Lastly, we add [tex]12[/tex] to both sides to get [tex]x=27[/tex].
So, Sara's number is [tex]\boxed{27}[/tex].
please solve this problem
Answer:
sorry i am not sure
Step-by-step explanation:
sorry i am not sure
please help!! will mark brainlist!
Answer:
i think its the middle one
Step-by-step explanation:
If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles
Measure=?
Answer:
PQS is a straight line, so:
(3x - 5) + (x + 1) = 180
4x - 4 = 180
4x = 184
x = 46 degrees
Step-by-step explanation:
Mixed numbers 204/5=
Answer:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 204 by 5 and keep only what is to the left of the decimal point:
204 / 5 = 40.8000 = 40
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
204 - (5 x 40) = 4
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 204/5 as a mixed number is:
40
4
5
Improper Fraction To Mixed Number Converter
204/5 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.
What is 204/6 as a Mixed Number?
Here is the next improper fraction on our list that we converted to a mixed number.
Terminology & Explanation
204 above the division line is called the numerator and 5 below the divison line is called the denominator.
We call the line that separates 204 and 5 the division line. It is also known as the fraction bar or vinculum.
204/5 is an improper fraction because the numerator is greater than the denominator.
A mixed number is an integer (whole number) and a proper fraction.
8) -4+41-5 +9pl = 48
Answer:
L= -11/9p
Step-by-step explanation:
put me brailiest
There are 40 runners in a race. How many ways can the runners finish first, second, and third?
Answer:
117600
Step-by-step explanation:
50 x 49 x 48 = 117,600 ways
You have 50 possible for 1st, 49 for 2nd, 48 for 3rd
or
Permutations 50P3 = 117,600
There are total 59280 ways that can the runners finish first, second and third in a race.
What is permutation?
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Formula for permutation[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
Where,
[tex]nP_{r}[/tex] is permutation.
n is total number of objects.
r is number of objects selected.
According to the given question
Total number of runners, n = 40
Total number of runners to be selected for first, second and third position is 3 i.e. r = 3
Therefore,
The number of ways can the runners finish the first, second and third is given by
[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]
Hence, there are total 59280 ways that can the runners finish first, second and third in a race.
Learn more about Permutation here:
https://brainly.com/question/2295036
#SPJ2
HELP PLZ !
Plot the numbers 3.07 , 2.92 and 3.02 on the number line
How to answer this question
Grace sold 4062 ml of fruit juice in January.
She sold 1053 ml less fruit juice in January than in February.
How much fruit juice did Grace sell in February?
Leave your answer in litres and millilitres.
Answer:
she sold 5,115 ml of fruit juice and in liters is 5.115 liters
Brittany brought her collection of Map Mosaics jigsaw puzzles to a secondhand store to sell. She was paid cash for all 8 puzzles in her collection. Before she left, Brittany used $7.25 of her earnings to purchase a used board game. She had $12.75 remaining. Which equation can you use to find the amount of money, p, Brittany received for each puzzle in her collection?
Answer:
[tex]p=(12.75+7.25)/8[/tex]
Step-by-step explanation:
The money she earned is the remaining money plus the board game price. With the total profit, you divide by the 8 puzzles
Brittany received an amount of $2.50 for each puzzle in her collection.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's assume the amount of money Brittany received for each puzzle in her collection is p dollars.
Then the total amount of money she received for 8 puzzles will be 8p dollars.
If she used $7.25 to buy a board game, then the amount of money she had before purchasing the board game was 12.75 + 7.25 = $20.
We know that the total amount of money Brittany received for 8 puzzles was 8p dollars. So we can write an equation:
8p = 20
Divide both sides by 8:
p = 2.5
Therefore, he received $2.50 for each puzzle in her collection.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ2
Find the greatest common factor.
14x4, 22x7
Answer:
2
Step-by-step explanation:
please answer both thank you
Answer: 3/4 are eqivelent to 6/8
Step-by-step explanation:
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.12 for each minute of calls. Plan B costs $15 plus an additional $0.10 for
each minute of calls.
For what amount of calling do the two plans cost the
Same?
Answer:
250 minutes
Step-by-step explanation:
10 + 0.12x = 15 + 0.10x
0.02x + 10 = 15
0.02x = 5
x = 250
Your welcome!
Kayden Kohl
8th Grade Student
Rewrite as a simplified fraction.
0.87 = ? But 87 is repeating
Answer:
87 / 100 I do believe will be your answer.
Step-by-step explanation:
1 is the greatest common divisor of 87 and 100, and therefore the result can't be further reduced. I hope this helps!
Brainliest to the most elaborated answer
Answer:
The answer is that you have to find tan x which is by slanted by o,n,2
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
11, 6, 1, ...
Answer:
Arithmetic, common difference = -5
Step-by-step explanation:
11 - 6 = 5
6 - 1 = 5
Can someone explain what does the pint (1,18) represent?
Answer:
1 cup of flour is needed to make 18 cookies
6 + blank = 4 what is the blank part
Answer:
-10 also I POSTED A MATH PROBLEM PLS HELP IF U CAN!! :)
100x+300y=1.200
(2/3x+10)/100=(y+20)/300
Answer:
x= -4.284 and y= 1.432
Step-by-step explanation:
5.8x+13.9=3.1x-15.8 solve for X
Answer:
-11
i hope that helps!
Express the distance 4,300,000 meters using scientific notation in meters, and then in millimeters.
Answer: 4.3 × 10^6 meters, and 4.3 × 10^9 millimeters.
Explanation: In order to find the scientific notation of a large number, you want to move the decimal point to the left until you only have one digit to the left of the number, then you can count the spaces you have moved, and this will make the power of 10 that you'll add to the end. This seems a little confusing, but let's look at it through the example.
Step 1) Move the decimal point to the left until there's only one digit to the left of the decimal:
4,300,000 turns into 4.300000
Step 2) Count the number of digits you've moved.
Above, we moved 6 spaces to the left.
Step 3) Add the decimal to the front, and then 10^the number of spaces you moved
4.3 (from step one) × 10^6 (from step two)
= 4.3 × 10^6
It works the same way for the millimeter question, just convert meters into millimeters before you start the problem, and then solve it using the steps above! I hope this helped you :)
The scientific notation in meters and millimeters are
- 4.3 x [tex]10^{6}[/tex] meters
- 4.3 x [tex]10^{9}[/tex] millimeters
What is scientific notation?It is a way of writing very large or very small numbers where a number between 1 and 10 is multiplied by a power of 10.
Example:
310,000,000 can be written in scientific notation as 3.1 ✕ 10^8.
We have,
Distance = 4,300,000 meters
1 meter = 1000 millimeters
So,
4,300,000 meters = 4,300,000,000 millimeters
We can write 4,300,000 in scientific notation as:
= 4.3 x [tex]10^{6}[/tex] meters
We can write 4,300,000,000 millimeters in scientific notation as:
= 4.3 x [tex]10^{9}[/tex] millimeters
Thus the scientific notation in meters and millimeters are
- 4.3 x [tex]10^{6}[/tex] meters
- 4.3 x [tex]10^{9}[/tex] millimeters
Learn more about scientific notations here:
https://brainly.com/question/18073768
#SPJ2
4. Find the scale factor using the given scale drawing and measurements below.
Answer:
Actual=3cm
Scale=5cm
3x=5
3/3x=5/3
X=5/3
The scale factor is 5/3
Find the equation for the line shown
Answer:
y = 1/2x
Step-by-step explanation:
Slope: 1/2
y = 1/2x
1. What is 85% of 620?
1147
527
729
465
Answer:
465 I think is the answer
% / 100 = Part / Whole
replace the given values:
85 / 100 = Part / 620
Cross multiply:
= 85 x 620 = 100 x Part
= 52700 = 100 x Part
Now, divide by 100 and get the answer:
Part = 52700 / 100 = 527
Find the area and perimeter.
5.6 cm
please help!!!!
Answer:
31.36cm; 22.4cm
Step-by-step explanation:
hope this helps
Answer:
31.36 cm^2, 22.4 cm
Step-by-step explanation:
Area of the square is a^2 = (5.6)^2
= 31.36 cm^2
Perimeter of a Square = 4s
= 4(5.6)
=22.4 cm
Help!!![tex]What is the measure of ∠L?[/tex]
Answer:
60°
Step-by-step explanation:
1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.
Therefore, ∠L is 60°.
