4x - 2y = -20
7x + 2y = -2
Answers
Answer:
(-2, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x - 2y = -20
7x + 2y = -2
Step 2: Rewrite systems
4x - 2y = -20
Add 2y to both sides: 4x = 2y - 20Divide 4 on both sides: x = 1/2y - 5Step 3: Redefine systems
x = 1/2y - 5
7x + 2y = -2
Step 4: Solve for y
Substitution
Substitute in x: 7(1/2y - 5) + 2y = =-2Distribute 7: 7/2y - 35 + 2y = -2Combine like terms: 11/2y - 35 = -2Add 35 to both sides: 11/2y = 33Isolate y: y = 6Step 5: Solve for x
Define original equation: 7x + 2y = -2Substitute in y: 7x + 2(6) = -2Multiply: 7x + 12 = -2Subtract 12 on both sides: 7x = -14Divide 7 on both sides: x = -2Step 6: Graph systems
Check the system.
Related Questions
What is the remainder after you divide 7*7*7... 124 times by 4
Answers
Answer:
1
Step-by-step explanation:
Remainder if 7*7*7... 124 times is divided by 4
The remainder when (7^124) / 4
Using python console:
a = 7**124
b = 4
c = a%b
print(c)
Output = 1
Hence, the remainder when 7^124 is divided by 4 is 1
Find the opposite of each integer 0
Answers
Answer:
Thats not a full question.
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
help please! will mark brainliest!
Answers
Answer:
Hello! I'll help, but where is the question?
Step-by-step explanation:
Answer:
what do you need help with?????
Find in slope standard form 3х – 5y = 10
Answers
Answer:-5y=-3x+10
Divide all by -5
Y= 3/5x+10/-5
Negative divide by negative is positive--3/-5= 3/5
Slope is 3/5 y intercept is -2
Step-by-step explanation:
-5y=-3x+10
Name the theorem or postulate that lets you immediately conclude ∆ABD ≈ ∆CBD.
A. None of these
B.AAS
C.ASA
D.SAS
Answers
Answer:
The correct answer is B. AAS
Step-by-step explanation:
I took the test
hope this helps :)
SAS postulate is used to conclude that ∆ABD ≈ ∆CBD. Option D is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
In the given triangle there are ACD, DB is the perpendicular bisector.
We need to prove ∆ABD ≈ ∆CBD.
In ∆ABD and ∆CBD
AB is congruent to BC by given diagram.
∠ABD ≅ ∠CBD both are 90 degrees.
BD ≅ BD both having common side.
∆ABD ≈ ∆CBD.
By SAS postulate.
Hence, the SAS postulate is used to conclude that ∆ABD ≈ ∆CBD.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ5
by mathematical induction 1.2²+2.3²+.....+n(n+1)(n+2)(3n+5)/12
Answers
Step-by-step explanation:
1.2+2.3+3.4+⋯+n(n+1)=∑k=1nk(k+1)
=∑k=1n(k2+k)
=∑k=1n(k2)+∑k=1n(k)
=n(n+1)(2n+1)6+n(n+1)2
=n(n+1)6(2n+1+3)
=n(n+1)6(2n+4)
=n(n+1)6[2(n+2)]
=n(n+1)(n+2)3
Gina says that for all real numbers a and b, ab=ba. is this statement true or false? If false, give a counterexample
Answers
Answer:
True
Step-by-step explanation:
The communative property states that the order in addition and multiplication dosen't matter.
HELP FAST !!!
Find the solution of the system of equations.
-8x + 7y = -2
- 8x + 8y = 8
Answers
-56x + 49y= -14
- 56x + 56y=64
105y=50
y=0.48
-8x+7(0.48)=-2
-8x+3.36=-2
-8x=-5.36
x=0.67
Answer:
(x, y) = (9, 10)
Step-by-step explanation:
-8x + 7y = -2...... (1)
- 8x + 8y = 8......(2)
Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:
-64x + 56y = - 16...(3)
-56x + 56y = 56.....(4)
Subtracting equation (4) from equation (3), we find:
-64x + 56y = - 16
-56x + 56y = 56
+ - -
_____________
- 8x = - 72
x = - 72/-8
x = 9
Substituting x = 9 in equation (1), we find:
-8(9) +7y = - 2
-72 +7y = - 2
7y = 72 - 2
7y = 70
y = 70/7
y = 10
(x, y) = (9, 10)
Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15% tax. How much money did she spend on the TV?
Answers
Plz I need this ASAP
Answers
Answer:
12
Step-by-step explanation:
1/3( 4×3)+8
1/3(12)+8
4+8
12
Answer:
b
Step-by-step explanation:
if g(x) =x over 2 + 3 find g (4)
Answers
Answer: 2
Step-by-step explanation: 4/2=2
PLEASE HELP ME WITH ME MATH In a survey of 3500 people who owned a certain type of car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
50%
Step-by-step explanation:
3500 divided by 1750 is 2 which is equal to 50%
it is urgent.so anyone solve this
Answers
Answer:
Step-by-step explanation:
Answer:
1i.) x = 18
1ii.) x = 40
2.) x = 155
3i.) ABD = 115° (actually this is wrong, idk how to calculate this ;-;
3ii.) BEF = 135°
Step-by-step explanation:
*All triangles add up to 180° in total of all angles added together*
i.) Find x
4x + 3x + 3x = 180°
10x = 180°
10x/10 = 180/10
x = 18
----------------------------------------
ii.) Find x
180 - 115 = 65
65° + 75° + x° = 180°
140° + x° = 180°
x° = 180° - 140°
x = 40°
----------------------------------------
2.) Find x
180 - 145 = 35
45° + 35° + n° = 180°
80° + n° = 180°
n° = 180° - 80°
n° = 100°
*Vertical Angles of n and m (variables I randomly made so I can solve this), so they are both the same*
100 + 55 + m = 180
155 + m = 180
m = 180 - 155
m = 25
25 + x = 180
x = 180 - 25
x = 155
----------------------------------------
3.) Find Angles
i.) ABD
180° - 65° = 115°
Angle ABD = 115°
ii.) BEF
180° - 110° = 70°
70° + 65° + x° = 180
135° + x° = 180°
x° = 180° - 135°
x = 45°
180° - 45° = 135°
Angle BEF = 135°
Brainliest...don’t need an explanation
Answers
13-0.75w+8x
13-0.75(12)+8(1/2)
13-9+4
4+4
8
Answer:
8
Step-by-step explanation:
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).
In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.9%. Describe the conclusion about p using an absolute value inequality.
The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to ≥.
Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
Answers
Answer:
|0.251 < p < 0.289|
Step-by-step explanation:
Given that:
The proportion of people who like dark chocolate than milk chocolate in a made up poll is 27%
Margin of Error = 1.9%
The conclusion about the proportion p using absolute value inequality ;
Interval :
P ± margin of error
27% ± 1.9%
(27 - 1.9)% ; (27 + 1.9)%
25.1% ; 28.9%
0.251 ; 0.289
Hence,
|0.251 < p < 0.289|
What is the equation of the line that passes through the point (-5,-7)and has a slope of 2/5
Answers
Answer:
6.33333 is the answer <3
Write the slope-intercept from of the equation of the line described. Through (-2, -1) perpendicular to y = 1/4x
Answers
Step-by-step explanation:
Slope Intercept Form is "y = mx + b"
What it means?
"m" - slope
"b" - y intercept (0,b)
So, we are given the slope, but not the y intercept..
For now, lets fill in the slope.
y = 1/4x + b
We are given a coordinate pair (-2,-1)
Fill it into the equation and solve for b.
-1 = 0.25(-2) + b
-1 = -0.50 + b
- 0.50 = b
We now have the value of "B"
Fill in the rest of the equation:
y = 1/4x + -.50
^ I think that is correct, sorry if it's wrong.
4^4÷4^7 as a fraction
Answers
Answer: multiply it by the bisector of the photosynthesis.
obviously
Step-by-step explanation:
The graph shown below represents the relationship between the number of cookies and the cost of the cookies that a bakery sells. What is the unit rate and what does it represent? Y 13 12 10 9 ME Cost ($) B 12 14.06L 8 10 12 14 16 18 20 22 24
Answers
Answer:
[tex]Rate = \$0.5[/tex] per cookie
Every cookie is sold at $0.5
Step-by-step explanation:
See attachment for complete question
Required
Determine the unit rate
To solve this, we simply take any corresponding values of Cost of cookies and number of cookies
When
Cost = $2
Number = 4
[tex]Rate = Cost/Number[/tex]
[tex]Rate = \$2/4[/tex]
[tex]Rate = \$0.5[/tex] per cookie
Pick another corresponding values
When
Cost = $6
Number = 12
[tex]Rate = Cost/Number[/tex]
[tex]Rate = \$6/12[/tex]
[tex]Rate = \$0.5[/tex] per cookie
Hence, the unit rate is $0.5 per cookie
What it represents is that: Every cookie is sold at $0.5
Stephanie ate 12 of the 40 chips in a bag. What percentage of the chips did Stephanie eat?
Answers
Answer:
30%
Step-by-step explanation:
Answer:30%
Step-by-step explanation:
Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.
Answers
9514 1404 393
Answer:
no
Step-by-step explanation:
We can write a proportion to find how much mix is required to make 52 cupcakes.
quarts/cupcakes = 3.5/32 = x/52
Multiplying by 52, we find ...
x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes
This is more mix than Austin made. He does not have enough left for 20 more cupcakes.
2.Larry's car travels 230 miles on 10 gallons of fuel. What is the ratio of miles to
gallons for Larry's car?
A 10 Miles to 1 Gallon
B 10 Gallons to 1 Mile
<
23 Miles to 1 Gallon
D 23 Gallons to 1 Mile
Answers
Answer:
D
Step-by-step explanation:
If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.
2/3x = -36
Possible answers
+24
-24
+54
-54
Answers
Answer:
-54
Step-by-step explanation:
2/3x=-36
3*2/3=3(-26)
2x=-108
2x/2= -108/2
x=-54
A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship between cakes made and the amount of flour used to make all of their cakes. Which table of values shows the relationship between the number of cakes the bakery makes to the number of bags of flours the bakery uses?
Answers
Answer:
c = 3b
Step-by-step explanation:
9 cakes proportional to 3 bags of flower
cake = k(bag)
c = kb
9 = k(3)
k = 3
c = 3b
you didn't send any table of values but this is the relationship between the cakes and flour, you can use it.
please mark brainliest if you like the answer
Which statement about the planes is true?
Answers
bruh
why
what
?
osea si pero al a vez cuando pasa osea si parece pero no lo es pero lo es cuando puede ser
find the missing side lengths. leave ur answers as radicals
Answers
Answer:
m = 34 ; n = 17√3
Step-by-step explanation:
m = 17 × 2 = 34
n² = 34² - 17² = 867 = 17² × 3 ⇒ n = 17√3
plz help me I dont want to fail
Answers
Answer:
ksjnfkjabfjkbfkjbdkjfbjdbjbdsjvbsdhbcjhdbvhsdjv
Step-by-step explanation:
sorry I really need points-
Multiply 1 4/5 * 1 ???
Answers
Answer:
9/5 or 1 4/5
Step-by-step explanation:
You’re welcome :)
Answer:
your answer will come to be 1.8
Also, what does the phrase "how much for 1" mean?
Answers
Answer:
It means your asking how much one of one type of thing is
Step-by-step explanation:
Zoey can tile 1 1/4 square yards in 1/3 hour. What is her unit rate?
Answers
1.25•3= 3.75 or 3 3/4