What is the solution to the system below?
y = 5x - 9
y = x + 3
What is the solution for the system below?
y = 5x - 9
y = x + 3
ANSWER : x = 3 and y = 6
DISCUSSIONThe method of elimination is a method by which one of the variables is eliminated so that the remaining variables are subsequently searched for the satisfactory value.
Is knownEquation 1 : y = 5x - 9
Equation 2 : y = x + 3
Askedx?
y?
AnsweredEquation 1
y = 5x - 9
- 5x + y = - 9
5x - y = 9
Equation 2
y = x + 3
- x + y = 3
Elimination Equation 1 dan 2
5x - y = 9
- x + y = 3
--------------- +
4x = 12
x = 3
Obtained x = 3
Substitute x = 3 to equation 2
- x + y = 3
- ( 3 ) + y = 3
- 3 + y = 3
y = 3 + 3
y = 6
PROOF IF x = 3 and y = 6
5x - y = 9
5 ( 3 ) - ( 6 )
15 - 6 = 9
Conclusionso the x and y values for the system are
x = 3 and y = 6
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DETAIL ANSWERGrade : 8th
Course : Mathematics
CHAPTER : Variable Equation 2
Code : 8.2.5
(I’ll give brainliest)
Answer:
letter choice A and C
Step-by-step explanation:
jshdhd
Amanda and Alexis live 4 miles apart. They decide to start walking toward each other's houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)] Two boxes, one with Amanda and 3.5 m p h. To the right is the other box with Alexis and 4 m p h. Below, the boxes there is a bracket, halfway between, pointing to 4 miles. hour
Answer:
t = 0.534 seconds
Step-by-step explanation:
Given that,
Amanda and Alexis live 4 miles apart.
Speed of Amanda = 3.5 mph
Speed of Alex = 4 mph
We need to find how long will it take for them to meet.
As they start walking toward each other's houses at the same rate. Their relative velocity will be :
v = 3.5 mph + 4 mph
= 7.5 mph
Let after time t they will meet.
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{4}{7.5}\\\\=0.534\ s[/tex]
Hence, after 0.534 seconds they will meet.
Answer:
the person above me is right but the answer is 0.53 on edge 2020
Step-by-step explanation:
Cindy sells wooden toys for $5 each and plastic toys for $3 each for a charity event. Last weekend she sold 42 toys, and she raised a total of $174. How many wooden toys did she sell that weekend?
Answer:
34
Step-by-step explanation:
It can't be higher than 34 since 174÷5= 34.8
Is Y=MX^2+B a function?
Answer:
I don't think so but I am not for sure
Step-by-step explanation:
Simplify. Rewrite the expression in the form 8^n. (8^−8 )(8^3)
Answer:
Step-by-step explanation:
Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°
Answer:
complementary means that their measures add up to 90 degrees. since they're also congruent, they have to be the same measure.
90/2= 45 degrees which is your answer
Step-by-step explanation:
I hope this helps :)
Answer:
45 degrees
Step-by-step explanation:
i just took the test on edge
Five members of the Varsity Math team are running late for a big
competition and hurrying toward the arena - but they forgot that they would
have to cross the stream that cuts through campus. When they reach the
stream, there's a small boat tied up on their side that they can "borrow” to get
to the other side.
The boat will hold one, two or three of the students, but not more.
Fortunately, two of the team members are also on the crew team, and when
the boat contains only one or both of them, they can make it across the stream
in one minute. Unfortunately, the other three teammates are very
inexperienced with boats, and when any of them is aboard, there is so much
awkwardness and flailing that the crossing will take four minutes, regardless
of whether one of the crew teammates is on board.
Answer: What is the question?
Which relations are functions?
Select Function or Not a function for each graph.
Answer:
The graph is a function
General Formulas and Concepts:
Algebra I
Vertical Line Test - each x-value must have its own y-valueStep-by-step explanation:
When we apply the Vertical Line Test to the parabola in the graph, we see that it passes it. Therefore, the graph shown is a function.
Can someone help me with this please.
What type of exponential function is f(x)=0.75(2.1)x
What is the function's percent rate of change?
Select from the drop-down menus to correctly complete each statement.
The function is an exponential_____ function.
The percent rate of change of the function is _____%.
Answer:
Growth110%Step-by-step explanation:
The function is an exponential growth function
Because 2.1 > 1The percent rate of change:
2.1 - 1 = 1.1 ⇒ 1.1*100% = 110%Answer:
the function is an exponential Growth function.
the percent rate of change of the function is 110%.
Step-by-step explanation:
Answer is correct, i took the k12 test.
the 20% discount on a $55 on a sweatshirt
Answer:
44
Step-by-step explanation:
Help will give braniest answer to person who is correct find the degree measure of each angle in the triangle
Answer:
Angle I = 90 degrees
Angle J = 61 degrees
Angle K = 29 degrees
Step-by-step explanation:
Angle I is given
We know that the angles in all triangles add up to 180. Since we are given that angle I is equal to 90 degrees, we now know that angle J + angle K = 90 degrees:
(5x+26) + (2x+15) = 90
Solve for X:
7x + 41 = 90
7x = 49
x = 7
Angle J = (5x + 26) = (5(7) + 26) = 61
Angle K = (2x + 15) = (2(7) + 15) = 29
Checking your work: 61 + 29 = 90
Answer:
[tex] m\angle I = 90\degree [/tex]
[tex] m\angle J= 61\degree [/tex]
[tex] m\angle K = 29\degree [/tex]
Step-by-step explanation:
(5x + 26)° + (2x + 15)° = 90°
(5x + 26 + 2x + 15)° = 90°
(7x + 41)° = 90°
7x + 41 = 90
7x = 90 - 41
7x = 49
x = 49/7
x = 7
[tex]m \angle \: I= 90 \degree \\ \\ m \angle \: J=(5x + 26) \degree = (5 \times 7 + 26) \degree \\ \\ m \angle \: J = (35+ 26) \degree \\ \\ m \angle \: J= 61\degree\\ \\ m \angle \: K=(2x + 15) \degree = (2 \times 7 + 15) \degree \\ \\ m \angle \: K = (14+ 15) \degree \\ \\ m \angle \: K = 29\degree[/tex]
OK easy for some (really a lot) just help me
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?
Answer:
The answer for the first part would be 3.89 minutes for the eight graders. There are 60 seconds in one minute so you’d have to take away 29 and add it to the full 4 minutes, which makes the 8th graders best time for the race 4.29 minutes. That’s more than 4 minutes, so the seventh graders would earn the points instead.
Step-by-step explanation:
The seventh graders would earn the points instead and awarded 40 points.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points.
If not, the seventh graders earn 40 points.
There are 60 seconds in one minute so, we have to take away 29 and add it to the full 4 minutes, which makes the 8th graders best time for the race 4.29 minutes.
That’s more than 4 minutes, therefore, the seventh graders would earn the points instead.
Hence, 3.89 minutes for the eight graders.
The seventh graders would earn the points instead and awarded 40 points.
Learn more about the unitary method, please visit the link given below;
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#SPJ5
Airpods originally cost $120. after a discount, the Airpods cost $84. What is the percent decrease for the Airpods
Answer:
the percent can be 36% or 35% but i would go for 36%
Which of the decimal value given below is the largest?
0.52
0.052
0.0052
what is the gradient of a line with an equation of 3x-2y-6=0
Answer:
Slope m = 3/2
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define Equation
3x - 2y - 6 = 0
Step 2: Rewrite
Find slope-intercept form
Subtract 3x on both sides: -2y - 6 = -3xAdd 6 on both sides: -2y = -3x + 6Divide -2 on both sides: y = 3/2x - 3Step 3: Break Function
Identify Parts.
Slope m = 3/2
y-intercept b = -3
Place the following numbers in ascending order. 20/7, 3.1, 2 3/4 (Answer should be in original form
2.1,2.6,3.1
Step-by-step explanation:
20/7=2.6
2 3/4=9/4
9/4=2.1
3.1
The price of a share of stock in JZMobile was $74 two weeks ago. Seven weeks ago, the price was $59 a share. Which linear equation to find the price p of a share of JZMobile w weeks from now?
A. p=5w+64
b. p=104-15w
c. p=80-3w
d. p=68+3w
ILL GIVE BRAINLIEST IF YOU EXPLAIN
Given:
The price of a share of stock in JZMobile was $74 two weeks ago.
Seven weeks ago, the price was $59 a share.
To find:
The linear equation to find the price p of a share of JZMobile w weeks from now.
Solution:
Let, p be the price of a share of JZMobile w weeks from now.
The price of a share of stock in JZMobile was $74 two weeks ago. It means, the graph of linear equation passes through (2,74).
Seven weeks ago, the price was $59 a share. It means, the graph of linear equation passes through (7,59).
The graph of linear equation passes through two points (2,74) and (7,59). So, the linear equation is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-74=\dfrac{59-74}{7-2}(x-2)[/tex]
[tex]y-74=\dfrac{-15}{5}(x-2)[/tex]
[tex]y-74=-3(x-2)[/tex]
[tex]y-74=-3x+6[/tex]
Adding 74 on both sides, we get
[tex]y=-3x+6+74[/tex]
[tex]y=-3x+80[/tex]
[tex]y=80-3x[/tex]
Therefore, the correct option is C.
what is the measure of angle 4??? please help asap!!!
===========================================================
Explanation:
Angle 3 and the 100 degree angle are corresponding angles. They are both in the southeast quadrant of their four-corner angle configuration. Assuming the lines that look horizontal are parallel, this would mean angle 3 is 100 degrees. Recall that corresponding angles are congruent when we have parallel lines.
Once we know that angle 3 = 100, we will use this to find angle 4.
Angles 3 and 4 add to 180. They form a straight angle or straight line.
(angle3)+(angle4) = 180
(100) + (angle4) = 180
angle4 = 180-100
angle4 = 80 degrees
Ian is buying apples at the farmer’s market.
The apples come in packages of different sizes.
Choose the package that is the best buy.
A. 2 lb for $4.98
B. 5 lb for $12.25
C. 8 lb for $18.80
D. 10 lb for $23.70
15 kg more sugar can be bought as a result of the 20% increase of the price of sugar at Tk. 4500, what is the price of the sugar at present?
Answer:
The current price is Tk. 3750
Step-by-step explanation:
Given:
[tex]\%\ Increase = 20\%[/tex]
[tex]New\ Price = Tk.\ 4500[/tex]
Required
Determine the current price
Percentage increment is calculated using the following formula:
[tex]\%\ Increase = \frac{New - Old}{Old}[/tex]
In this case, we have:
[tex]\%\ Increase = \frac{New\ Price - Old\ Price}{Old\ Price}[/tex]
Substitute values for % increase and New Price
[tex]20\% = \frac{4500 - Old\ Price}{Old\ Price}[/tex]
Cross Multiply
[tex]20\% *Old\ Price= 4500 - Old\ Price[/tex]
Convert percentage to decimal
[tex]0.20*Old\ Price= 4500 - Old\ Price[/tex]
Collect Like Terms
[tex]Old\ Price+0.20*Old\ Price= 4500[/tex]
Factorize:
[tex]Old\ Price(1+0.20)= 4500[/tex]
[tex]Old\ Price(1.20)= 4500[/tex]
Solve for Old Price
[tex]Old\ Price= \frac{4500}{1.20}[/tex]
[tex]Old\ Price= 3750[/tex]
Hence, the current price is Tk. 3750
2020-21
19 of 35
Text-to-Speech
19. Brian bought a new jacket at a discount of 30%. If the original price was $65, how
much did Brian pay for the jacket?
Answer: Brain paid $ 45.5 for the jacket.
Step-by-step explanation:
Given: Original price of jacket = $ 65
Discount -= 30%
Price after discount = Original price - 30% of Original price
= 65 - 30% of 65
= 65 - (0.3) x 65 [30% = 0.3]
= (65) (1-0.3 ) [Taking 65 common]
= (65)(0.7)
= $ 45.5
Hence, Brain paid $ 45.5 for the jacket.
once there was a fox in a jungle. He was so hungry that he started moving in the forest searching for food. complete the story
Answer:
Step-by-step explanation:
he found some grapes
he tried to reach them but couldnt
he eventually gave up
so he just said "theyre
sour anyways"
so he said
plzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
1. 6s⁹ t³
2. y³ + 3y² + 3y + 1
hope it helps!
You work delivering food for a local farmer. You sell eggs from the farm at a price of 3 for $2.00, 6 for $3.50, 12 for $6.00, and 24 for $13.00. What is the best deal for buying eggs?
A.
3 eggs for $2
B.
6 eggs for $3.50
C.
12 eggs for $6.00
D.
24 eggs for $13.00
Answer:
The 12 egg offer.
Step-by-step explanation:
Find the unit price for each. Then make them common denominators. Like 3 eggs for 2 dollars is for 1 egg, 2/3 dollars. After getting the unit price for all of them, get the common denominators of 24. Then we see which numerator is the lowerst, since we want the lowerst price. We find 12/24, or the 12 egg offer.
Use <, >, or = to compare the following
5 and -8
7 and -11
Answer:
5 > -8 , and 7 > -11
Step-by-step explanation
5 and 7 are greater than negative numbers
Write the equation of the line in slope-intercept form that goes through the points: (2,4) and (7,-1)
Answer:
y= -x+8
Step-by-step explanation:
slope int. form: y=mx+b
first, we need to find the slope (m)
the two points are (2,4) and (7,-1).
to find the slope we do (y2-y1)/(x2-x1)
doing this we get -5/5=-1
now we can plug in point (2,4) and the slope into y=mx+b
doing this we get:
4=-1(2)+b
4=-2+b
b=8
now we have the equation:
y= -x+8
Find the area of Pentagon ABCDE in which BL perpendicular to AC, CM perpendicular to AD, EN perpendicular to AD such that AC = 8 cm, AD = 12 cm, BL = 4 cm, CM = 6 cm and EN =5cm.
Answer:
Area ABCDE = 82 cm²
Step-by-step explanation:
ABCDE = ΔEAD + ΔDAC + ΔCAB
ABCDE = (12×5)/2 + (12×6)/2 + (8×4)/2 = 30+36+16 = 82