4x - 2y = -20
7x + 2y = -2

Answers

Answer 1

Answer:

(-2, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-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 - 5

Step 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 = 6

Step 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 = -2

Step 6: Graph systems

Check the system.

4x - 2y = -207x + 2y = -2

Related Questions

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.

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.

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°

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.

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.

plz help me I dont want to fail​

Answers

Answer:

ksjnfkjabfjkbfkjbdkjfbjdbjbdsjvbsdhbcjhdbvhsdjv

Step-by-step explanation:

sorry I really need points-

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:

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 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:

The answer would be

-5y=-3x+10

Zoey can tile 1 1/4 square yards in 1/3 hour. What is her unit rate?

Answers

We know that Zoey can tile 1.25 square yards in 20 minutes (which is 1/3 of an hour) so we wanna see how much she can tile in an hour. Multiply 1.25 by 3.

1.25•3= 3.75 or 3 3/4

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:

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

4^4÷4^7 as a fraction

Answers

Answer: multiply it by the bisector of the photosynthesis.

obviously

Step-by-step explanation:

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%

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

I believe $241.50 would be your answer

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|

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

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

Find the opposite of each integer 0

Answers

Answer:

Thats not a full question.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

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

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

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

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

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)

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

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:

Brainliest...don’t need an explanation

Answers

Answer:

13-0.75w+8x
13-0.75(12)+8(1/2)
13-9+4
4+4
8

Answer:

8

Step-by-step explanation:

if g(x) =x over 2 + 3 find g (4)

Answers

Answer: 2

Step-by-step explanation: 4/2=2

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?????

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

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