-x + 2y = 21
5x + 6y = 23
Answers
Answer:
(-5, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equation by graphingStep-by-step explanation:
Step 1: Define systems
-x + 2y = 21
5x + 6y = 23
Step 2: Rewrite systems
-x + 2y = 21
Subtract 2y on both sides: -x = 21 - 2yDivide -1 on both sides: x = -21 + 2yRearrange: x = 2y - 21Step 3: Redefine systems
x = 2y - 21
5x + 6y = 23
Step 4: Solve for y
Substitution
Substitute in x: 5(2y - 21) + 6y = 23Distribute 5: 10y - 105 + 6y = 23Combine like terms: 16y - 105 = 23Add 105 on both sides: 16y = 128Divide 16 on both sides: y = 8Step 5: Solve for x
Define original equation: 5x + 6y = 23Substitute in y: 5x + 6(8) = 23Multiply: 5x + 48 = 23Subtract 48 on both sides: 5x = -25Divide 5 on both sides: x = -5Step 6: Graph systems
Check the solution set.
Related Questions
There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
Answers
So there is a total of 6 ears, 12 paws, and 3 tails in the room.
Answer:
In the room there should be 6 ears, 12 paws, and 3 tails in total.
What is the product of 7×-6 1/8
Answers
Answer:
-42.875 or -42 7/8
Step-by-step explanation:
you can turn -6 1/8 into a decimal: -6.125 and multiply it with 7.
The product of the fraction 7 x -(6 1/8) is -42.875 or in fraction form -42 7/8.
We have expression: 7 x -(6 1/8).
First, write the mixed fraction into improper fraction as
Numerator = 8 x 6 + 1 = 49
Denominator = 8
Now, the product will be
7 x -(6 1/8)
= 7 x (-49/8)
= 7 x (-6.125)
= -42.875
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Square root of 24 using perfect squares
Answers
24 is not a perfect square.
What is a Perfect Square ?A perfect square is a number that can be written as a product of an integer and another integer itself.
To determine the square root of 24
24 = 6 * 4
6 square can be drawn of 4 small squares
[tex]\rm \sqrt {24} = \sqrt{ 4*6} \\\\=\sqrt{4} * \sqrt{6} \\\\= 2 \sqrt{6}[/tex]
Therefore 24 is not a perfect square.
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Help with evaluate and graph PLEASE HURRY
Answers
Answer:
Box 1 = -1
Box 2 = 8
Box 3 = 14
at the amusement park there were t shirts for sale for 18.95 each james bought 4 of them about how much did he spend??
Answers
A class roll has 30 students listed in alphabetical order. Exactly 5 of those students received A's in the course. What is the probability that at least two people who were adjacent on the alphabetical list both received A's?
Answers
Answer:tony stark
Step-by-step explanation:shake it out west
1.682 inches rounded to the nearest whole number is 1 inches?
Answers
It's closer to 2, so it would be rounded from 1.682 in to 2 in.
Answer:
No, its most likely 2
Step-by-step explanation:
6 is closer to 10
hope this helps :) btw if ya like rap follow my brother on yt his rap his name is Ghxstboiireaper
1.682 inches rounded to the nearest whole number is 1 inches?
Answers
Answer:
True
Step-by-step explanation:
5 or higher round up 4 or lower round down
CH4 + O2 → CO2 + 2 H2O
Answers
If LIAR is a parallelogram, what is the value of X?
R
A
377x+3)
(2x+3
O A. 42
O B. 20
O c. 71.5
O D. 35
O E. 82
O F. 38.
Answers
The answer is B) 20 .
37 + (7x + 3) = 180
7x = 180 - 37 - 3
7x = 140
x = 20
Therefore, x = 20.
Answer:
20
Step-by-step explanation:
Please I really need help
For both questions please
Answers
Answer:
2 is A, 3 is C
Step-by-step explanation:
m< AED = 16y + 10. Find the value of y so that ED I AB.
Answers
Full question attached:
Answer and explanation:
To calculate y in the equation <AED=16y+10 we first find the value of angle AED from the diagram(attached)
From the diagram, we can see that <AED = 180 degrees given that <AED is angle on a straight line=180 degrees.
The line AB is therefore perpendicular to line ED
Hence we calculate y in the equation <AED= 16y+10
180= 16y+10
180-10=16y
16y=170
y=170/16
y= 10.625
Estimate the square root of 24 to the nearest tenth
Answers
Answer:The answer is 4.9
Step-by-step explanation: Step 1: Calculate. We calculate the square root of 24 to be: √24 = 4.89897948556636.
Step 2: Reduce. 4.89.
Step 3: Round. Round 4.89 so you only have one digit after the decimal point to get the answer: 4.9.
On picture day, the students are placed in order from tallest to shortest. Place the following students in order from tallest to shortest.
Javien is 4 2/3 feet tall
Danny is 3 11/12 feet tall
Samiya is 4 1/6 feet tall
Taylor is 4 7/8 feet tall
Answers
Answer:
4 7/8, 4 2/3, 4 1/6, 3 11/12
Step-by-step explanation:
To make it easier, convert it into decimals
4 2/3=4.666...
3 11/12=3.9166...
4 1/6=4.166...
4 7/8=4.875
Determine the slope of the line that contains the given points
(1-7) (5-7)
Answers
Answer:
the answer is 4
Step-by-step explanation:
Rise/run
y2-y1/x2-x1
7-7/1/5
4
Answer:
0/4
Step-by-step explanation:
7/5 - 7/1
Making the answer become 4
Daniela y Jorge can en bicicleta y salen del mismo lugar, Daniela avanza 6km y luego retrocede 2km mientras que Jorge avanza 8km y retrocede 5km.
¿A que distancia se encuentra uno del otro?
¿Quien ha avanzado más de los dos?
¿Quien ha recorrido más km?
Answers
Answer:
a) 1 km
b) Amaya
c) Jorge
HOPE THIS HELPS ;P
Write the ratio as a fraction in simplest form. A class has 8 boys and 14 girls. What is the ratio of boys to girls?
Answers
Answer:
4/7
Step-by-step explanation
8:14
8/14
4/7
So the answer is 4/7
The opera theater manager believes that 23#% of the opera tickets for tonight's show have been sold. If the manager is accurate, what is the probability that the proportion of tickets sold in a sample of 869869 tickets would differ from the population proportion by less than 3%3%
Answers
Answer:
0.9642
Step-by-step explanation:
Sample proportion p follows a Normal distribution with mean = p0 = 0.23 and Standard deviation = √P0(1 - P0) / n = √0.23(1-0.23) / 869 = 0.0143
Then Z = p - mean / Standard deviation = X - 0.23 / 0.01343
P(0.2<p<0.26) = P(p<0.26) - P(p<0.2)
= P(p-023/0.0143 < 0.26-0.23/0.0143) - P(p-0.23/0.0143 < 0.2-0.23/0.0143)
= P(Z < 2.1) - P(Z < -2.1)
= 0.9821 - 0.0179
= 0.9642
if you do it ill mark you brainly plz do it
Answers
Answer:
A
Step-by-step explanation:
To find the change, we do final-beggining
since his first rating is -7 and his final rating is -2
-2-(-7)
Simplify this expression
[tex]2 \sqrt{5(13 + \sqrt{2)} } [/tex]
Answers
Answer:
16.9789
You can round the answer
Answer:
D. [tex]26\sqrt{5} + 2\sqrt{10}[/tex]
Step-by-step explanation:
[tex]2\sqrt{5}(13+\sqrt{2})\\ \\26\sqrt{5}+2\sqrt{5}*\sqrt{2}\\\\\\26\sqrt{5}+2\sqrt{5}*2\\\\26\sqrt{5}+2\sqrt{10}[/tex]
PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.
Evaluate.
(−2)^6
Enter your answer in the box.
Answers
Answer:
-64
Step-by-step explanation:
I used a calculator lol.
(-2)^6 take out the negative sign( you can't raise the exponent of a negative number)
2^6
2x2=4, 4x2=8, 8x2=16, 16x2= 32, and 32x2=64
Hope this helps :D
Which statement is most likely to show a constant rate of change???
A. The outside temp compared with the time of day.
B. The cost of a new car compared with the number of tires it has.
C. The weight of a child compared with its age in months.
D.The distance traveled by a truck driving at a constant speed compared with time.
Answers
I believe you answer would be D) The distance traveled by a truck driving at a constant speed compared with time.
write 6.085 in word form
Answers
2. Determine whether each table of values represents a linear function. If so write the function. If not, explain why.
Answers
Answer:
lemme think i will anwser
Step-by-step explanation:
A linear function has a constant rate of change.
Table N represents a linear function
From the complete question (see attachment), we have the following highlights
Table M has the same x-values for y-values 2 and -3For each increment in the x-values of table N, there is a constant increment in the y-values.The above highlights mean that:
Table M does not represent a linear function because it does not have a constant rateTable N represents a linear function because it has a constant rateRead more about linear functions at:
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Sales for May were $8,475. Calculate the markdown percent for May if the buyer took the following markdowns during the month: 21 shirts from $38 to $21, 15 shorts from $25 to $17, 32 halter tops from $32 to $22, 7 pants from $60 to $40, 8 skirts from $50 to $40
Answers
Answer:
kailangan mo ba sagot luh asa ka
Step-by-step explanation:
d kailangan ng brainy Kasi lahat ng tao asa lng
Help me please!! I’ll mark as brilliant!!
Liam’s mass is 102.1 kg
Choose the best approximation of Liam’s mass
A. 1 x 10^1
B. 1 x 10^2
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg
Choose the best approximation of earth’s mass
A. 6 x 10^21
B. 6 x 10^24
Approximately how many times as large is earth’s mass as liam’s mass?
A. 6 x 10^20
B. 6 x 10^21
C. 6 x 10^22
Answers
The answers are :
1. Liam has approximated mass equal to 1 × 10² kg.
2. Earth has approximated mass equal to 6 × 10^24 kg
3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
1)
Liam's mass is 102.1.
To represent the decimal number in approximation we need to multiply the first digit by power of 10 by moving the decimal place.
i.e., decimal number 102.1 can be written as :
= 1.02 × 10² kg
because decimal place moved towards left by 2 places.
or
= 1 × 10² kg
2)
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg.
This can be written as :
= 5.97 × 10^24
or
= 6 × 10^24 kg
3)
The earth's mass is larger than Liam's mass by :
= [tex]\frac{6 * 10^{24}}{1*10^{2} }[/tex]
= 6 × [tex]\frac{10^{24} }{10^{2} }[/tex]
= 6 × [tex]10^{22}[/tex]
Therefore , the answers are :
1. Liam has approximated mass equal to 1 × 10² kg.
2. Earth has approximated mass equal to 6 × 10^24 kg
3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].
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Solve the rational equation 2x+3/5=7/5
X=2
X=3.2
X=5
X=5.1
Answers
Answer:
x=0.4
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable
Which of the following is not a method used on graphs to lead the reader to misinterpret the graph?
a.
Use inconsistent scales on one or both axes.
b.
Reverse the x- and y-axes to obtain a more convincing graph.
c.
Comparing two sets of related data on the same graph for the sake of comparison.
d.
Begin the scale of one or both axes at a number other than zero without notifying the reader.
its C
Answers
Answer:
Answer C is right
Step-by-step explanation:
edg 2021 got it right, its c
The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
What is graph?A graph is a intersection of {x} and {y} axis. On the graph, the coordinate points can be plotted in the form (x, y). In this, {x} represents the horizontal distance along the {x} axis and {y} is the vertical distance along the {y} axis.
Given is to identify the methods that are not used on graphs to lead the reader to misinterpret the graph.
The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
Therefore, the method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
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E
2) Mrs. Anderson spent $305.70 at
Target. If the sales tax is 6%, what was
her final bill?
Answers
305.70 + 18.34 = 324.04
Which is an equation of the line with a slope of 2 that passes through ( 3 , 1 )?
Answers
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
let the solution be [tex] ax + by - c = 0 [/tex]
let the solutions be a = 3, b = 1
[tex] 3x + y = 0 [/tex] is the equation with consistent value.
Answer:
the answer is -1
Step-by-step explanation:
im just tyna get my points thats all