When x = 2,what is the value of y for the equation – 3x + 2y = 10?

Answers

Answer 1

Answer:

y=x+5

Step-by-step explanation:

Answer 2

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{y = 8}}}}[/tex]

What is the value of y for the equation given below when x = 2 ?

-3x + 2y = 10

Step - by - step explanation :

[tex] \sf{ - 3x + 2y = 10}[/tex]

plug the value of x ( i.e 2 )

➳ [tex] \sf{ - 3 \times 2 + 2y = 10}[/tex]

Remember : Multiplying or dividing a negative integer by a positive integer gives a negative integer.

➳ [tex] \sf{ - 6 + 2y = 10}[/tex]

Move 6 to right hand side and change it's sign

➳ [tex] \sf{2y = 10 + 6}[/tex]

Add the numbers : 10 and 6

➳ [tex] \sf{2y = 16}[/tex]

Divide both sides by 2

➳ [tex] \sf{ \frac{2y}{2} = \frac{16}{2}} [/tex]

➳ [tex] \boxed{ \sf{y = 8}}[/tex]

——————————————————

✏ Now, let's check whether the value of y is 8 or not !

Verification :

[tex] \sf{ - 3x + 2y = 10}[/tex]

→ [tex] \sf{ - 3 \times 2 + 2 \times 8 = 10}[/tex]

→ [tex] \sf{ - 6 + 16 = 10}[/tex]

→ [tex] \sf{10 = 10}[/tex]

L.H.S = R.H.S ( Hence , the value of y is 8 . )

——————————————————

Additional Info :

Sign rules of addition and subtraction of integers:

The positive integers are always added and posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.

Sign rules of multiplication and division of integers :

Multiplying or dividing positive integers gives a positive integer.Multiplying or dividing positive integer by any negative integer gives a negative integer.Multiplying or dividing a negative integer by a positive integer gives a negative integer.Multiplying or dividing a negative integer by a negative integer gives a positive integer.

Rules for solving an equation :

If any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the term with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

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Related Questions

Solve equation. -15 + (-8)=

Answers

Answer:

The answer is - 23

Step-by-step explanation:

- 15 + (-8) =

- 23

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Answer:

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Step-by-step explanation:

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Recall that two angles are complementary if the sum of their measures is 90°
Find the measures of two complementary angles if one angle is 14º more than three times the other angle.

Answers

I’m I think 79% but I’m probably way off

Arya travels at an average speed of 30 mph for 40 miles. Without stopping, Arya then travels 120 miles in 2.25 hours. Find her average speed for the entire journey to 2 dp.

Answers

Answer:

44.69 mph

Step-by-step explanation:

Speed = distance/time

Distance is:

40 miles + 120 miles = 160 miles

Time is:

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Average speed:

160/3.58 = 44.69 mph

What’s the value for y? PLEASE!!

Answers

Answer:

the answers Is c or 13 because 3*5=15-2=13

An ice cream factory makes 230 quarts of ice cream in 5 hours. What is the constant of proportionality?
A:41
B:46
C:225
D45

Answers

Answer:

C

Step-by-step explanation:

Replace * with a monomial so that the expression represents the square of a binomial: *+24x+9

Answers

Answer:

* is [tex]7x^{2}[/tex]

Step-by-step explanation:

(7x + 3)(x + 3)

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Answer:

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Step-by-step explanation:

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Answers

Answer: 1.5 + 3 = 1.8

Step-by-step explanation: Add both sides.

Answer:

P = 9 cm

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of dimensions W and L, the perimeter of the rectangle is:

P = 2W + 2L

Or, equivalently:

P = 2(W + L)

The dimensions of the icon for the mobile app are 1.5 cm and 3 cm, thus:

P = 2(1.5 cm + 3 cm)

P = 2(4.5 cm)

P = 9 cm

what is 7.5% of 61.13​

Answers

Answer:

Step-by-step explanation:

61.13*7.5%=4.58

61.13+4.58=65.71

Can you help me please

Answers

2.5

Step-by-step explanation:

Multiply 2.5 by y and you get x

The manager of a shopping center wishes to obtain information on the shopping habits of people in the area. The area contains four neighborhoods of varying populations. The manager suspects that the shopping habits may be different in different-sized neighborhoods. Which of the following sampling designs would be most effective in gathering the information the manager requires?
A. a convenience sample from the area
B. a simple random sample from the area
C. a cluster sample using the neighborhoods as clusters
D. a stratified sample from the neighborhoods in the area
E. an online poll that invites all people from the neighborhoods in the area to participate

Answers

Answer:

defintly A

Step-by-step explanation:

because all the others are inconvenient and bad

Answer:

D

Step-by-step explanation:

Because you want to be able to see data from all neighborhoods.

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Answer:

29

Step-by-step explanation:

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Find the value of x by using the exterior angle theorem.

Answer: B

Answers

A=180-105
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apples cost $1 each and oranges cost $2 each. Noah has $10 to spend at the produce market. Can he buy 7 apples and 2 oranges? Explain or s reasoning. HELP NEEDED ASAP WILL GIVE 5 STARS AND BRAINLIEST

Answers

Answer:

apple= $1

orange=$2

Noah has total $10

He can't buy 7 apples and 2 orange

Step-by-step explanation:

7 apple= $7

2 orange= $4

7+4=11

And Noah only has $10

Find the value of x that makes m
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Answers

Answer:

X= 15

Step-by-step explanation:

3x - 15 + 150 = 180

X = 15

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The function f is continuous on the interval (0,9) and is twice differentiable except at x = 6, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for some values of x in the interval (0,9) is given in the table above. Which of the following statements could be false?

Answers

Answer:

The statement that could be false is;

(C) The function has a relative minimum at x = 6

Step-by-step explanation:

The given parameters are;

The function is continuous in the interval 0 ≤ x ≤ 9

The function is not differentiable at x = 6

f prime (x) = Negative for 4 < x < 6, and positive for 6 < x < 8

Therefore, at x = 6, the function is vertical

The statement that could be false is that the function has a relative minimum at x = 6.

A continuous function f(x) does not have discontinuity at any point

The statement that could be false is (c). The function f has a relative minimum at x = 6.

The interval is given as:

Interval = (0,9)

From the question, we understand that the function is not differentiable at x = 6.

This means that the function may or may not have a relative minimum at x = 6.

Hence, the statement that could be false is (c).

Read more about continuous functions at:

https://brainly.com/question/21447009

Which number is a rational number?

Answers

Answer:sq rt of 49

Step-by-step explanation:

A 0.7 kg toy car accelerates at 0.5 m/s2. The FORCE is...
0.35 m/s2
0.35 kg
0.35 N

Answers

Answer:

[tex]\boxed {\boxed {\sf 0.35 \ N}}[/tex]

Step-by-step explanation:

Force can be found by multiplying the mass by the acceleration.

[tex]F=m*a[/tex]

The mass of the toy car is 0.7 kilograms and the acceleration is 0.5 m/s²

[tex]m= 0.7 \ kg \\a= 0.5 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F=0.7 \ kg * 0.5 \ m/s^2[/tex]

Multiply.

[tex]F=0.35 \ kg*m/s^2[/tex]

1 kg*m/s² is equal to 1 Newton. The units for force are Newtons.Therefore, our answer of 0.35 kg*m/s² is also equal to 0.35 Newtons

[tex]F= 0.35 \ N[/tex]

The force of the toy car is 0.35 Newtons

Answer:

(45 kg)(4.1 m/s)2 = 120 N

Step-by-step explanation:

The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance at 60 miles per hour, how long will it take to travel the same distance at 50 miles per hour?

Select one:
a. 6.6 h
b. 6.9 h
c. 4.6 h
d. 4.2 h

Answers

Answer:

6.6h

Step-by-step explanation:

So it takes 5.5 hours going at a speed of 60 miles per hour, multiply these two and we get a distance of 330 milesUse this distance to find the time if speed is 50 miles per hour, so time is derived by dividing the distance by the speed330 miles divide by 50 miles per hour gives 6.6 hours

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Answers

Answer:

E

Step-by-step explanation:

the steeper the slope the faster the something

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Which expression represents an irrational number? A 0.18 repeating, b 2/3 ,

Answers

Answer:

I think it's A hope this helps

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Given: Morgan does not live in Orlando.

Conclusion: Morgan does not live in Florida.

Is this sentence Law of Detachment, Law of syllogism, or invalid

Answers

Answer:

The law of detachment and syllogism is valid here

Explanation:

The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.

The law of detachment is denoted

[(a→b)∧a]→b

The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.

It is denoted

[(a→b)∧(b→c)]→(a→c)

In the above example, given: If you live in Orlando, then you live in Florida

Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida

Lily plans to paint a stencil design on the wall in her room the stencils has one part yellow 3 Part Blue and 4 parts are blue and 4 parts are white .The area of the the walls that she must paint is 480 square feet a quart of paint approximately covers 80 square feet .what is the minimum amount of paint that Lily needs to buy ​

Answers

Answer and explanation:

Since a quarter(1/4) of paint covers 80 square feet, a whole paint would cover 80×4= 320 square feet of the wall

Remaining part of the wall left unpainted after using one whole paint

480-320= 160 square feet

Therefore paint required for remaining unpainted part

= 160/80= 2 quarters of paint(1/4+1/4)= 1/2 paint

Total paint required for the wall = one whole paint + half paint = 1+1/2= 1 1/2

Total paint required is one and half

Or

We divide area of wall by area of wall covered by each quarter

480/80=6 quarters of paint

6 quarters of paint = 1/4+1/4+1/4+1/4+1/4+1/4

We still get same answer

= 1 1/2

Answer: A 1 quart yellow, 2 quarts blue, 3 quarts white

Step-by-step explanation:

if u divide 480 by 80 you will get 6 so u will only need 6 quarts of paint.

If using the method of completing the square to solve the quadratic equation x2 + 15x + 4 = 0, which number would have to be added to "complete the square"?​

Answers

Answer:

The number which number would have to be added to "complete the square" is [tex]\mathbf{(\frac{15}{2})^2 }[/tex]

Step-by-step explanation:

We need to solve the equation [tex]x^2 + 15x + 4 = 0[/tex] by completing square method.

The general form is [tex]x^2+2(x)(y)+y^2=(x+y)^2[/tex]

Solving equation using completing square method

[tex]x^2 + 15x + 4 = 0[/tex]

We would be adding and subtracting 15/2 to make it a complete square

[tex]x^2+2(1)(\frac{15}{2} )+(\frac{15}{2})^2+4-(\frac{15}{2})^2=0[/tex]

So, now it can be written in form of [tex](x+y)^2[/tex]

[tex](x+\frac{15}{2})^2+4-\frac{225}{4}=0\\(x+\frac{15}{2})^2+4-\frac{225}{4}=0\\(x+\frac{15}{2})^2+\frac{4*4-225}{4}=0\\(x+\frac{15}{2})^2+\frac{16-225}{4}=0\\(x+\frac{15}{2})^2+\frac{-209}{4}=0\\(x+\frac{15}{2})^2-\frac{209}{4}=0[/tex]

So,using the method of completing the square to solve the quadratic equation x2 + 15x + 4 = 0 we get  [tex]\mathbf{(x+\frac{15}{2})^2-\frac{209}{4}=0}[/tex]

The number which number would have to be added to "complete the square" is [tex]\mathbf{(\frac{15}{2})^2 }[/tex]

Answer:

it's 56.25

Step-by-step explanation:

Already Completed it on K12

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Answers

Answer:

3x5 are factors of 75

Step-by-step explanation:

good day mate

Answer:So, the prime factors of 75 are written as 3 × 5 × 5 or 3 x 5^2, where 3 and 5 are the prime numbers.

Step-by-step explanation:Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

mark as the brainliest

Find the area of a sector with a central angle of 126 degrees and a radius of 11.8 m. Round to the nearest tenth.

Answers

Answer:

The area would be 13.

Step-by-step explanation:

Claire is making picnic lunches. She has 12 sandwiches, 18 apples and 30 pieces of candy. What is the greatest number of lunches she can make if she wants to have the same number of each kind of food in each lunch? *
PLEASE HELP!!

Answers

Answer:

57472

Step-by-step explanation:

please help asap nobody else has answered my other questions. thanks! answer question 2 please!

Answers

Answer:

15

Step-by-step explanation:

To find the y intercept set x=0

You are given two points: (7,-6)(-4,27)

y=mx+b

y2-y1=x2-x1

x1=7

y1=-6

x2=-4

y2=27

27-(-6)/-4-7=27+6/-4-7=33/-11=-3

y=-3x+b

-6=-3(7)+b

-6=-21+b

+21 +21

b=15 so, y=-3x+15

PLUG IN O TO THAT EQUATION

y=-3(0)+15

Your y intercept would be 15

One factor of this polynomial is (2x − 1).
2x^3 + 5x^2 - 27x +12
Use long division to determine which expression represents the other factor.
answer choices:
x2 − 3x + 12
x2 + 3x − 12
x2 − 12x + 3
x2 + 12x − 3

Answers

See attachment for answer:

Answer:

B: x^2+3x-12

Step-by-step explanation:

Luka wants to buy peaches and a watermelon . Peaches cost $2.99 a pound, and watermelon costs $4.50. he has $15.00 to spend

Answers

Answer:

2.99: 3   4.50: 5

Step-by-step explanation:

5 plus 3 equals 8.

If he has 15.00 to spend he would get 7 dollars as change.

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