6x + 3y = 6 and 7x + 9y = -22 solve using substitution please
Answer:
X = ( 40/11 )
Y = ( -58/11 )
Step-by-step explanation:
6x + 3y = 6
7x + 9y = -22
-------------------------
-3(6x + 3y = 6)
= -18x - 9y = -18
-------------------------
-18x - 9y = -18
7x + 9y = -22
-11x = -40
÷-11 ÷-11
x = ( 40/11 )
------------------------
6( 40/11 ) + 3y = 6
( 240/11 ) + 3y = 6
-( 240/11 ) -( 240/11 )
3y = ( -174/11 )
÷3 ÷3
y = ( -58/11 )
---------------------------
I hope this helps!
Answer:
[tex]x=\frac{40}{11}[/tex]
[tex]y=-\frac{58}{11}[/tex]
Step-by-step explanation: [tex]\left \{ {{6x+3y=6} \atop {7x+9y=-22}} \right.[/tex]
Multiply both sides of the equation by a coefficient
[tex]\left \{ {{3\left(6x+3y\right)=6\times3} \atop {7x+9y=-22}} \right.[/tex]
Apply the Distributive Property
[tex]\left \{ {{18x+9y=6\times3} \atop {7x+9y=-22}} \right.[/tex]
Calculate the product or quotient
[tex]\left \{ {{18x+9y=18} \atop {7x+9y=-22}} \right.[/tex]
Subtract the two equations
[tex]18x+9y-(7x+9y)=18-(-22)[/tex]
Remove parentheses
[tex]18x+9y-7x-9y=18+22[/tex]
Cancel one variable
[tex]18x-7x=18+22[/tex]
Combine like terms
[tex]11x=18+22[/tex]
Calculate the sum or difference
[tex]11x=40[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{40}{11}[/tex]
Substitute into one of the equations
[tex]7\times\frac{40}{11}+9y=-22[/tex]
Write as a single fraction
[tex]\frac{7\times40}{11}+9y=-22[/tex]
Calculate the product or quotient
[tex]\frac{280}{11}+9y=-22[/tex]
Multiply both sides of the equation by the common denominator
[tex]\frac{280\times11}{11}+9y\times11=-22\times11[/tex]
Reduce the fractions
[tex]280+9y\times11=-22\times11[/tex]
Multiply the monomials
[tex]280+99y=-22\times11[/tex]
Calculate the product or quotient
[tex]280+99y=-242[/tex]
Rearrange variables to the left side of the equation
[tex]99y=-242-280[/tex]
Calculate the sum or difference
[tex]99y=-522[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]y=-\frac{522}{99}[/tex]
Cross out the common factor
[tex]y=-\frac{58}{11}[/tex]
The solution of the system is
[tex]\left \{ {{x=\frac{40}{11}} \atop {y=-\frac{58}{11}}} \right.[/tex]
I hope this helps you
:)
PLEASE PLEASE HELP Please
Answer:
Second option
Step-by-step explanation:
They have been completed with 8 valence electrons. I hope this helps
A jogger runs 15 miles in 2 hour and continues jogging at the same rate.
What is the jogger's speed in miles per hour?
Answer:
7.5 miles per hour
Step-by-step explanation:
7.5 = 1 mile + 7.5= 1 mile =15= 2 miles
Help pls help me with homework
Answer:
Hi what's the homework? Imma see what i can do :) ill give it a try
Step-by-step explanation:
Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7).
Given,
Length of the arc = l = 37.4 cm
[tex]\small\bold{ Central \: angle = θ = 60° = \frac{60π}{180} radian = \frac{π}{3} radians}[/tex]
We know that,
[tex]\small\bold{r = \frac{l}{θ }}[/tex]
[tex]\small\bold{ = (37.4) \times (\frac{π}{3})}[/tex]
[tex]\small\bold{= \frac{ (37.4)}{[\frac{22}{7}\times 3]} }[/tex]
[tex]\small\bold{= 35.7 cm }[/tex]
Hence, the radius of the circle is 35.7 cm.
Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.
The slope of the line is .
When the point (7, –4) is used, the point-slope form of the line is .
The slope-intercept form of the line is
Answer:
point slope form= y+4 = -7/8( x-7 )
slope intercept form y = -7x/8 +17/8
Answer: 1. -7/8 2. y+4=(-7/8)(x-7) 3. y= (-7/8)x + (17/8)
Step-by-step explanation: on EDGE
WILL MARK BRAINLIEST
The following questions are about"The Middle Passage" by Oladaugh Equiano
Use the following passage to answer questions 1 & 2:
"One day, when all our people were gone out to their works as usual, and only i and
my dear sister were left to mind the house, two men and a woman got over our
walls, and in a moment seized us both, and, without giving us time to cry out, or
make resistance, they stopped our mouths, and ran off with us into the nearest
wood. Here they tied our hands and continued to carry us as far as they could, till
night came on when we reached a small house, where the robbers halted for
a
refreshment and spent the night. We were then unbound, but were unable to take
any food; and, being quite overpowered by fatigue and grief, our only relief was
some sleep, which allayed our misfortune for a short time.
1. How do you know this is a nonfiction piece?
The author uses words including "dear sister."
The author wrote, "where the robbers halted for refreshment..."
The author wrote phrases including "our people, I and my dear sister,"
and "us time."
The author wrote, "overpowered by fatigue and grief..."
2. What is the denotative meaning of "allayed" in the above passage?
aggravated
relieved
intensified
stirred
0000
1. We can dictate that this story "The Middle Passage" by Olaudah Equiano is a nonfiction piece because of C. The author wrote phrases including "our people, "I and my dear sister," and "us" several times.
What is nonfiction?Nonfiction is a piece of writing based on factual events and real occurrences. Nonfiction involves real people, places, and events.
Unlike fiction, nonfiction does not embellish the stories to attract the readers' attention but tells the simple truth.
2. The denotative meaning of "allayed" in the above passage is B. relieved.
What is meant by denotative meaning?Denotative meaning shows the explicit or direct meaning of a word or an expression.
The denotative meanings of words and expressions can be distinguished from their associated or connotative ideas or meanings by the direct references made on the subject.
Learn more about "The Middle Passage" by Olaudah Equiano at https://brainly.com/question/10877643
can anyone help me with this? im confused
Answer:
1,2,3 and 6 are similar triangles by AA similarity
Step-by-step explanation:
1) ∠DEC ≅ ∠FEG {Vertically opposite angles}
DC // GF
∠ECD ≅ ∠EGF {Alternate interior angles}
∠EDC ≅ ∠EFG {Alternate interior angles}
ΔDEC & ΔFEG are similar triangles by AA similarity
2)MN // QP
∠LQP ≅ ∠QMN {Corresponding angles }
∠LPQ ≅ ∠PNM {Corresponding angles}
ΔLQP & ΔLMN are similar triangles by AA similarity
3) In ΔSYE ,
∠S = 180 - 90 - 39
∠S = 51°
In ΔCHW,
∠H = 180 - 51 - 90
∠H = 39
ΔSYE and ΔCHW
∠S ≅ ∠W = 51°
∠Y ≅ ∠C = 90°
∠E ≅∠H = 39°
ΔSYE & ΔWCH are similar triangles by AA similarity
6) ∠P ≅ ∠Z {Given}
∠PXQ ≅∠ZXY {Vertically opposite angles}
ΔPXQ & ΔZXY are similar triangles by AA similarity
Conrad worked 6.06 hours last week then work 1.75 times as long this week. how many hours in total did conrod work?
Answer:
10.605
Step-by-step explanation:
this us in total, how many hours he worked in total basically
Please help mee !! :))
Tasha graphs a star with one tip at point S(-3,1). What are the coordinates of the corresponding point after a 90 rotation about the origin?
Answer:
corresponding point after a 90° rotation is (1,3)
Step-by-step explanation:
its drawn
A fruit bsaket contains 30 Oranges and Apples. The ratio of apples to oranges is 3 to 2.
What is the ratio of oranges to apples?
The author of a book was told that he would have to cut the number of pages by 7% for the book to sell at a popular price and still make a profit If the finished book contained 330 pages, how many pages were cut? Round your answer to the nearest integer.
Answer:
353
Step-by-step explanation:
107% of 330 = 353.1 ie 330 plus 7%of 330
100+7
107÷100
1.07×330
353.1
353 nearest
[tex]18\frac{1}{5} -(-22\frac{2}{5} )-(-40\frac{1}{5} )?\\[/tex]
Answer:
[tex]=80\frac{4}{5}[/tex]
Step-by-step explanation:
[tex]18\frac{1}{5}-\left(-22\frac{2}{5}\right)-\left(-40\frac{1}{5}\right)[/tex]
[tex]=\frac{91}{5}-\left(-22\frac{2}{5}\right)-\left(-40\frac{1}{5}\right)[/tex]
[tex]=\frac{91}{5}-\left(-\frac{112}{5}\right)-\left(-40\frac{1}{5}\right)[/tex]
[tex]=\frac{91}{5}-\left(-\frac{112}{5}\right)-\left(-\frac{201}{5}\right)[/tex]
[tex]=\frac{91}{5}+\frac{112}{5}+\frac{201}{5}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]=\frac{91+112+201}{5}[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:91+112+201=404[/tex]
[tex]=\frac{404}{5}[/tex]
[tex]=80\frac{4}{5}[/tex]
select the correct word form for 444,404
Answer:
FOUR HUNDRED FORTY-FOUR THOUSAND FOUR HUNDRED FOUR
Step-by-step explanation:
Answer:
The correct word form is:
Four hundred and forty-four my four hundred and four
---
Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
What is the effect on the graph of f(x)=|3x−4| when it is replaced by f(x)+3 ?
What is a rough prediction the cube would land on 2 or 5 after 180 roll
Answer:
2/6 of it or 1/3 chance you get a 2 or 5
Step-by-step explanation:
Which are correct representations of the inequality 6x 2 3+ 4(2x - 1)? Select three options.
12 2x
6x 23+ 8x -4
-1.5
-1
-0.5
0 0.5
1
1.5
|--1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-1
-0.5
0
0.5
1.5
Answer:
The third option
Step-by-step explanation:
I did the math x less than or equal to 0.5
Task 2
Carla has $30 in her piggy bank. Starting this week, Carla decided to save $1.50 per week and her sister
Darla decided to save $3.00 per week.
a) Write an equation to model each of the situations.
b) Will Darla and Carla have the same amount saved at any time? Explain.
c) Graph the equations from Part a to verify your answer from Part b
Answer:
A) Carla: y = 1.5x + 30 <-- y is the total money, and x is the number of weeks
Darla: y = 3x <-- y is the total money, and x is the number of weeks
B) No, they start with a different amount of money and also save different amounts each week. They will not always have the same amount of money.
C) See attachment
Step-by-step explanation:
We'll start with Carla.
Carla saves $1.5 every week. That means that if we multiply the number of weeks she has saved by 1.5 we'll get the amount of money she has. However, she starts at 30 so we have to add 30 to that at the beginning. So, Carla's equation is y = 1.5x + 30. y is the total money, and x is the number of weeks
Darla saves $3 every week. That means that if we multiply the number of weeks she has saved by 3 we'll get the amount of money she has. Unlike Carla, Darla starts at $0, so there is no need to add anything. So, Darla's equation is y = 3x. y is the total money, and x is the number of weeks
Since Carla and Darla start with a different amount of money and save different amounts each week, they won't always have the same amount of money. However, they will cross at some point. You can actually see this in the graph. Carla, there is red, and Darla is blue.
Now let's graph the 2 equations. First, we'll do Carla. her equation is y = 1.5x + 30. Since it is in the slope-intercept form we can just use y = mx + b to tell how we're going to graph this. In this formula, m is the slope, and b is the y-intercept. As you can see when you look back at Carla's equation, m is 1.5 and b is 30. First, we'll take the y-intercept, b, which is 30 as we just figured out, and plot it on the graph. All you have to do here is count 30 units up the y-axis (the one going up and down) and put a point there. Now we take the slope (1.5) and we start putting in points that the line will go through. 1.5 in fraction form is 3/2 meaning (starting from that point we marked earlier) we will go 3 units up, and 2 units to the right and put another point there. You can now take a ruler, line up the 2 points you marked and draw a big line through them that keeps going on forever on both sides (just put an arrow at both ends to mark that).
Now we'll do the same with Darla's equation. Her's is y = 3x. When we compare this with or slope-intercept formula, y = mx + b, we'll notice there is no b. That means it is 0 and that the y-intercept is also 0. So go ahead and mark a point in the middle of the graph where the 2 big lines cross. 3 in fraction form is just 3/1 meaning that we'll go 3 up and 1 to right (from the point you just marked) and put another point there. Now draw another big line through both of those points (WITH A RULER) and mark the ends with arrows.
the cost of 7 calculator is rs. 1750 what will be the cost of 12 calculator
Answer:
See below.
Step-by-step explanation:
You have to find the unit price.
1750/7=250
Now, multiply the unit price by the desired amount.
250*12=3000
So, 12 calculators will cost 3,000.
-hope it helps
Is 0.968 greater than 1.5?
Answer:
No
Step-by-step explanation:
Knowing that 1.5 can also be written as 1.500
Thus, 0.968 < 1.500
Also can say 0.968 is less than 1.500
[RevyBreeze]
Imagine that there is a spinner with equal sections, and also a standard number cube. You spin the spinner and roll the cube. This is a situation that involves 2 parts (the spinner and the cube) and has a
total of 30 outcomes in the sample space
Considering the concept of a sample space, a situation with a sample space of 36 outcomes would happen with a spinner of 6 equal sides.
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
In this question:
The number cube will always have 6 outcomes.The spinner has n outcomes.The number cube and the spinner are independent, hence, to find the total number, we multiply the number of outcomes of each.Thus:
6n = 36 -> n = 6.
A situation with a sample space of 36 outcomes would happen with a spinner of 6 equal sides.
More can be learned about the sample space concept at https://brainly.com/question/15006554
Hi please help I’ll give brainiest!
Answer:
A
Step-by-step explanation:
The answer would have to be A because it is the only expression that shows the number 2 being added to n.
I hope this helps!
Answer:
B
Step-by-step explanation:
Product means to multiply, and n is 18. So 2(n)=36 is correct
N= 18
2(18)
36
so 2(18)=36
Given: p || q, and r || s.
Prove: ∠1 and ∠14 are supplementary angles.
What is the next step in the proof? Choose the most logical approach.
Answer:
Give me the diagram so i can answer the question please
8 4/5 - 5 1/6 This is a subtraction problem
Answer:
4 and 5/12
Step-by-step explanation:
Find them as an improper fraction then find the LCD and add
Answer:
3.63333 is the answer in Desamole form
The height of a triangle is 8 centimeters greater than three times its base. The area of the triangle is 128 square centimeters. What is the base of the triangle?
Answer:
base = 8 cm
step-by-step explanation:
Let the base be "b"
Then the height will be "3b + 8"
Therefore use the following to find area:
[tex]\rightarrow \sf \frac{1}{2} * base * height = area \ of \ triangle[/tex]
[tex]\rightarrow \sf \frac{1}{2} * b* (3b+8)= 128[/tex]
[tex]\rightarrow \sf \frac{1}{2} * b* (3b+8)= 128[/tex]
[tex]\rightarrow \sf 3b^2+8b= 128*2[/tex]
[tex]\rightarrow \sf 3b^2+8b=256[/tex]
[tex]\rightarrow \sf 3b^2+8b-256=0[/tex]
[tex]\rightarrow \sf 3b^2+32b-24b-256=0[/tex]
[tex]\rightarrow \sf b(3b+32)- 8(3b+32) =0[/tex]
[tex]\rightarrow \sf (b- 8)(3b+32) =0[/tex]
[tex]\rightarrow \sf b = 8, \ -\dfrac{32}{3}[/tex]
Therefore "b", base is 8 cm and height = 3(8) + 8 = 32 cm
PLEASE HELP ITS DUE TODAY
Answer:
24
Step-by-step explanation:
LCM of 4, 6, and 8 by Prime Factorization
LCM of 4, 6, and 8 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 23 × 31 = 24. Hence, the LCM of 4, 6, and 8 by prime factorization is 24.
(A) 2 2/3 =2 + 2 + 3 (B) 2 2/3 = 1 + 1 + 2 + 3 (C) 2 2/3 = 1 + 1 + 1/3 + 1/3 (D) 2 2/3= 1 + 1 + 1/3 Which equation is true?
Answer:
C
Step-by-step explanation:
This is because C is the only answer that equals 2 2/3
Option C (2 2/3 = 1 + 1 +1/3 + 1/3) is the correct equation.
A) 2 + 2 + 3 = 7
B) 1 + 1 + 2 + 3 = 7
C) 1 + 1 + 1/3 + 1/3 = 2 2/3
D) 1 + 1 + 1/3 = 2 1/3
I attached a picture to make it simpler!
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
Mrs. Rivera's class has been keeping track of their recycling for the past four
weeks. During the first week of the school year, they only managed to recycle 4
pound of paper. On week two, theyrecycled 8 pounds of paper. On week three,
they recycled 12 pounds of paper. Finally, on week 4 they recycled 16 pounds of
paper. If this pattern continues, how much will they recycle on week 6?
If the probability of an event is 5/13 what is the probability of its complement?
Answer:
You are so dum i can answer it in less than 5 seconds.
Step-by-step explanation:
Answer:
Step-by-step explanation:
P(E') = 1 - P(E)
[tex]= 1-\dfrac{5}{13}\\\\\\=\dfrac{13}{13}-\dfrac{5}{13}\\\\\\=\dfrac{8}{15}[/tex]
P(E') -> complement of the event.