Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
#1
Solving by submitting method:
[tex]\sf \leadsto 5x - 4y = 9 \: \: - - - (i)[/tex]
[tex]\sf \leadsto x - 2y = -3 \: \: - - - (ii)[/tex]
By first equation,
[tex]\sf \leadsto 5x - 4y = 9[/tex]
[tex]\sf \leadsto 5x = 9 + 4y[/tex]
[tex]\sf\leadsto x = \frac{9+4y}{5}\\[/tex]
Now, we can find the original value of y from Eqⁿ (ii).
[tex]\sf \leadsto x - 2y = -3[/tex]
[tex]\sf \leadsto \bigg(\frac{9+4y}{5}\bigg) - 2y = -3\\[/tex]
[tex]\sf \leadsto \frac{9+4y-10y}{5} = -3\\[/tex]
[tex]\sf \leadsto \frac{9-6y}{5}= -3\\[/tex]
[tex]\sf \leadsto 9-6y = -3(5)[/tex]
[tex]\sf \leadsto 9 -6y = - 15[/tex]
[tex]\sf \leadsto -6y = - 15 - 9[/tex]
[tex]\sf \leadsto -6y = -6[/tex]
[tex]\sf \leadsto y = \frac{\cancel-6}{\cancel-6}\\ [/tex]
[tex]\sf \leadsto y = \dfrac{ 6}{ 6} \\[/tex]
[tex]\sf \leadsto y = 1[/tex]
Now, we can find the original value of x , from Eqⁿ (I)
[tex]\sf \leadsto 5x-4y = 9[/tex]
[tex]\sf \leadsto 5x - 4(1) = 9[/tex]
[tex]\sf \leadsto 5x - 1 = 9[/tex]
[tex]\sf \leadsto 5x = 9+1[/tex]
[tex]\sf \leadsto 5x = 10[/tex]
[tex]\sf \leadsto x = \frac{10}{5}\\[/tex]
[tex]\sf \leadsto x = 5[/tex]
Therefore, the values of x and y are 5 and 1 respectively.
#2
Solving by Eliminating method:
[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]
[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]
Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.
[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]
[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]
Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get
[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]
[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]
Therefore, the pair of equations has no solution.
Hope this helps!!
Related Questions
how do i prove similarities of 2D shapes through sides
Answers
Answer:
i dont know hshshshsuojvw
Name the properties used to solve this equation:
4/3(3/4x)=4/3 * 1/4. Given
(4/3 * 3/4)x=4/3 * 1/4 a.
1x=4/3 * 1/4. b.
x=4/3 * 1/4 c.
x=1/3 4/3*1/4=1/3
Answers
We want to see the properties used to solve the given equation.
The properties used are:
Existence of the multiplicative inverse.Associative property of the multiplication.Let's write step by step and see which property we used on each step.
We start with:
[tex]\frac{4}{3} *(\frac{3}{4} *x) = \frac{4}{3} *\frac{1}{4}[/tex]
Now we use the associative property of the multiplication (says that we can multiply in any order we want) we rewrite this to:
[tex](\frac{4}{3} *\frac{3}{4} )*x = \frac{4}{3} *\frac{1}{4}[/tex]
Now we use the existence of the multiplicative inverse, this says that for a number a, there exist a number b such that:
a*b = 1
And we have that b = 1/a.
Then we apply that to the first factor to get:
[tex](\frac{4}{3} *\frac{3}{4}) *x = \frac{4}{3} *\frac{1}{4} \\\\x = \frac{4}{3} *\frac{1}{4}[/tex]
Again, using the same but with the numerator of the first factor of the right side and the denominator of the second factor of the right side we get:
[tex]x = \frac{4}{4} *\frac{1}{3} = \frac{1}{3}[/tex]
Then the properties used are:
Existence of the multiplicative inverse.Associative property of the multiplication.If you want to learn more, you can read:
https://brainly.com/question/325258
Please help me with this will rate brainliest
Answers
Answer:
For question 3 the answer is 20 minutes and for question 5 the answer is 1 hour
Step-by-step explanation:
Jake lives in San Mateo. He bought an item for $787.31 and when the clerk calculated the sales tax it came out to exactly
$82.87488. Round the sales tax to the nearest
Answers
not exactly sure what to round to. but if you're ruining to the nearest hundred it would be : 82.87 and to the nearest tenth is would be : 82.9 (:
If f(1)=6 and f(n) = F(n - 1) + 2 then find the value of f(4).
Answers
Hi there!
[tex]\large\boxed{f(4) = 12}[/tex]
We know that:
f(1) = 6
F(n) = F(n - 1) + 2 (Meaning, the next "n" is 2 added to the previous)
We can count up to f(4) using this logic:
f(2) = F(2 - 1) + 2 = F(1) + 2 = 6 + 2 = 8
f(3) = F(2) + 2 = 8 + 2 = 10
f(4) = F(3) + 2 = 10 + 2 = 12
Question below. Plz help
Answers
Answer:
8 sugar free
Step-by-step explanation:
look at number amb it says how many different Compassion or possible that the mildew be said two of the desert or sugar-free for the drinks are sugar-free all you have to do is multiply 2 * 4 and you and you will get the answer of it
Write 128 as a product of primes. Use index notation when giving your answer.
working out pls
Answers
Just pls give an answer ._.||
Answers
Answer:
I think the answer is C
Step-by-step explanation:
You will multiply the exponents, sorry if I am wrong!
Answer:
The anwser is C, if it is right, you should give Brainliest to the other person, if you can. They were quicker.
Estimate 18.232 - 6.25 by first rounding each number to the nearest tenth.
Help me plz
Answers
Answer:
11.9
Step-by-step explanation:
I think this is the answer
round 18.232 = 18.2
round 6.25 = 6.3
then 18.2-6.3 =11.9
I hope this helps, mark brainless if it's correct :)
51 decreased by twice Jose's height
use the variable j to represent Jose's height.
Answers
Step-by-step explanation:
51 - 2j
maybe something is missing here, but that is the representation of what you wrote.
I will give out brainless if you get this right
How many sides does a dodecahedron have?
Answers
Answer:
12
Step-by-step explanation:
8x+2y=0
Identifying Direct Variation Equations Tell whether the equation respresents Direct Variation. If so, Identify the constant of variaion.
-Giving a brainely for correct answer
Answers
Answer:
Below.
Step-by-step explanation:
They are of the form y = kx where k is some constant.
8x + 2y = 0 is Direct Variation because you can transform it:
8x + 2y = 0
2y = -8x
y = -4x :- here k = -4.
PLEASE HELP I GIVE BRAINLIESTTTTTT
Answers
Answer:
-0.9, -1/4, 3/5, 0.8
Answer:
Step-by-step explanation:
[tex]\dfrac{-1}{4}=-0.25\\\\\dfrac{3}{5}=0.6[/tex]
-0.25 ; 0.6 ; 0.8 ; -0.9
Negative numbers have least value.
Least to greatest:
-0.9 ; -0.25 , 0.6 , 0.8
-0.9 ; -1/4 ; 3/5 ; 0.8
2 2/3 x 3 1/4 what is the answer
Answers
Answer:
8 2/3
Step-by-step explanation:
Read the problem.
Savory Spreads bagel shop baked 120 bagels this morning, and 24 of them were
blueberry. What percent of the bagels were blueberry?
Pick the model that represents the problem.
0%
?
100%
120
0
24
100%
0%
?
120
0
24
What percent of the bagels were blueberry?
Answers
Answer:
20%
Step-by-step explanation:
Firstly,
you'll have to divide 24 blueberry bagels by 120 of em all, so you'll get 0.2
24/120
= 0.2
Next,
change the number to percentage
0.2 × 100%
= 20%
solve pls brainliest make sure is correct
Answers
Answer:
113/20 < 5 7/10 < 5.749 < 5.78
Step-by-step explanation:
113/20, 5.78, 5.749, 5 7/10
113/20 = 5.65
5 7/10 = 5.7
Carl’s Cards will print holiday cards for $2 each plus a shipping fee of $25. Penny’s Prints offers holiday cards for $5 each with a shipping fee of $10. Create and use an algebraic equation to find out the number of holiday cards for which the cost is the same for either company. *
Using the same information from above, if you need to purchase 10 holiday cards, which company should you order from and why?
Carl's
Pennys
Answers
Answer:
the answer is 5
Step-by-step explanation:
help me out guys !!!
Answers
Answer:
B) y-4=-9/11(x+8)
Step-by-step explanation:
Daniella has a box of 525 markers that she wants to share with 15 of her friends. If each of her friends gets the same number of markers, how many markers will each friend get?
please help me!
Answers
Answer:
Each friend will get 35 markers
Step-by-step explanation:
525 / 15 = 35
JoAnn works in a publicity office at the state university. She is paid
$
13.50
an hour for the first
35
hours she works each week and
$
20.25
an hour for every hour after that. If she makes
$
634.50
one week, how many hours did she work?
Answers
A cube has an edge of 3 feet. The edge is increasing at the rate of 4 feet per minute. Express the volume
of the cube as a function of m, the number of minutes elapsed.
Hint: Remember that the volume of a cube is the cube (third power) of the length of a side.
Answers
Answer:
so it increases by 4 per minute
the volume of a cube is v=side^3
so the side length be 5+4m where m is the number of minutes
therefor the volume can be expressed as V(m)=(5+4m)³
Step-by-step explanation:
The volume of the cube can be expressed as a function of m, the number of minutes elapsed as V(m) = (3 + 4m)³ feet³.
What do we mean by volume?The volume of an object is the total space occupied by the object in the three-dimensional space.
How do we solve the given question?In the question, we are asked to express the volume of a cube as a function of m, the number of minutes elapsed. We are given that the initial length of the edge of the cube was 3 feet, and it increases at a rate of 4 feet per minute.
∴ We can say that the length of the edge after m minutes = 3 + 4m
As 4 feet is the increase per minute and m minutes have elapsed.
We know, that the volume of a cube is the cube of the length of the edge.
∴ The volume = (3 + 4m)³.
Hence, the function of the volume of the cube in m can be written as,
V(m) = (3 + 4m)³ feet³.
Learn more about volumes at
https://brainly.com/question/4293592
#SPJ2
The spring concert at a certain high school sold 155 tickets. Students were charged $4 each and adults $8 each. The income from the sale of tickets was $980. How many students and how many adults bought tickets? Use algebra to solve this problem.
Answers
Answer:
Step-by-step explanation: 85 students and 80 adults
A piano teacher has 4 1/2 hours available to teach in a night. Each lesson will last 1 1/2 hours. How many lessons can the teacher schedule in a night?
Answers
Answer:
3 lessons a night
Step-by-step explanation:
Answer:
I think the answer would be 3 nights may be wrong though.
 Line v passes through point (6, 6) and is perpendicular to the graph of y = 3/4x - 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?
A: y= 3/4x+2
B: y=-3/4x+2
C: y=-4/3x+2
Answers
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
Parallel lines have identical slopes
As our original line has a slope of 3/4, both lines v and w have slope of -4/3
This means that
C: y = -4/3x + 2
is the only possible option.
Let's check that the given point fits on this line.
10 = -4/3(-6) + 2
10 = 10
So our answer is correct.
Convert 0.750 into it's fractional form, simplified completely.
Answers
Answer:
3/4
Step-by-step explanation:
1.00=100. .75= 75/100 ....... 25 goes into 75 3x and into 100 4x therefore 3/4
Ryan spent a total of $40 at the grocery store. Of this amount, he spent $14 on fruit. What percentage of the total did he spend on fruit?
Answers
Answer:
35%
Step-by-step explanation:
ryan spent 14 out of his 40 dollars on fruit. so ryan spent 14/40 or 7/20 of his money.
to convert a fraction to a percentage, multiply by 100
so multiply 7/20 by 100 to get 35%
Answer:
35%
Step-by-step explanation:
Ryan spent $14 out of his $40 dollars on fruit. This is 14/40 = 35%
solve pls brainliest
Answers
Answer:
Part a: Add 360 to -168, which is , to get 192 ft.
Part b: Subtract -168 from -132, to get -300 ft.
Hope this helped :)
The median annual salary for travel agents is P300,000. If the 80th percentile for the annual salary of a travel agent is P500,000, approximately what percent of the travel agents have annual salaries less than P300,000?
Answers
Using the percentile concept, it is found that 50% of travel agents have annual salaries less than P300,000.
In a data-set, if a measure is at the xth percentile, x% of the measures are less than x.The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.In this problem, the median is of P300,000, and thus, 50% of travel agents have annual salaries less than P300,000.
A similar problem is given at https://brainly.com/question/24495213
inside temperature y after x hours can be represented by y=68x. come park the functions by comparing the temperatures
Answers
Answer:
An equation that can be used to model these data is of the form: y = A cos B(x - C) + D,
where A,B,C,D, are constants, y is the temperature in °C and x is the month (1–12).
Write the equation in standard form.
5−3(x−2y)=1−5x
x - y = 2
2x - 3y = -4
x + 3y = -2
2x - 2y = 4
Answers
Answer:
ik this is last but the answer is c
Step-by-step explanation:
just took the test