Solve the system of linear equations by substitution x=5y+2 and x-4y=5

Length + width = 1/2 the perimeter:30/2 = 15

Area = length x width

List the factors of 50: 1, 2, 5, 10, 25, 50.

Find the two factors that when added together equal 15:

Dimensions are 5 cm by 10 cm.

See attachments for answer and math work.

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Explanation:

Let point N be at the intersection of the horizontal line and segment JM.

We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.

In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.

So,

JM = JN + NM

JM = NM + NM

JM = 2*NM

JM = 2*7.1

JM = 14.2

Answer:

JM = 14.2

Step-by-step explanation:

Given JK = MK then Δ JKM is isosceles.

The line through K is a perpendicular bisector of JM , so

JM = 2 × 7.1 = 14.2

To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.

The expression given in the problem is,

[tex]p=6q +7[/tex]

This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,

[tex]p+7=6q +7-7\\p+7=6q[/tex]

Divide both side of equation with number 6.

[tex]\dfrac{p+7}{6}=q[/tex]

Rewrite the equation as,

[tex]q=\dfrac{p+7}{6}[/tex]

Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

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Answer:

[tex]\boxed{\mathfrak{Question ~}}[/tex]

What is the degree of polynomial?

[tex]\large\boxed{\mathfrak{Answer}}[/tex]

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Example:

[tex] {6x}^{4} + {2x}^{3} + 3[/tex]

4x The Degree is 1 (a variable without an

exponent actually has an exponent of 1)

More Examples:

4x^ − x + 3 The Degree is 3 (largest exponent of x)

x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)

z^2 − z + 3 The Degree is 2 (largest exponent of z)

A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.

3 is a polynomial of degree 0.

Answer:

The degree of a monomial is the sum of the exponents of all its variables.

Example 1:

The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .

Example 2:

The degree of the monomial 7x is 11 (since the power of x is 11 ).

Example 3:

The degree of the monomial 66 is 0 (constants have degree 0 ).

The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)

Answer is 15√2/2. I think.

Answer: x = 3 and y = 5

Step-by-step explanation:

In the "1s" place,

1₅ + 3₅ = 4₅

In the "5s" place,

2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11₅

In the "25s" place, we carry the leading 1 from the "5s" place,

3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅

In the "125s" place, we carry over the 1 again,

4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10₅

Putting everything together,

4321₅ + 343₅ = 10214₅

Answer:

Hi, the answer is a.

Step-by-step explanation:

1. 1800-200=1600

2. As 1800 is total x will be smaller amount. so....

3. when we write a subtraction statement bigger number - smaller number..

4. So answer will be 1600-x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.

Then the expression is given as,

⇒ 1800 - x - 200

Simplify the expression, then we have

⇒ 1800 - x - 200

⇒ 1600 - x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

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The sketch of the locus AP = BP  shows an equal distance between AP and BP which can be seen in the image attached below.

A square is a plane figure that has four sides with each side adjacent to each other and they make a right angle of 90° to one another.

A locus is a point that satisfies a constraint on the square of the distances between two lines.

The sketch of the locus AP = BP given an intersection between lines A and B and that intersection is point P.

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Answer:

7

Step-by-step explanation:

basically just subtract 10-3=7 then to check 3+7=10

Answer:

x = 7

Step-by-step explanation:

3 + x = 10

-3         -3

x = 7

you subtract by 3 on both sides (because the opposite property of addition is subtraction) to cancel it out and isolate the x.

Answer:

x = 14

y = 6

Step-by-step explanation:

*Property*

In a parallelogram:

Opposite sides are equal.

Since, the given figure is a parallelogram we can apply this property and equate:

1) 2y + 1 = 13

subtracting 1 from both sides:

=> 2y + 1 - 1 = 13 - 1

=> 2y = 12

dividing both sides by 2:

=> 2y/ 2 = 12/ 2

On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator

On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:

2) x = y + 8

We've got the value of y from equation 1).

Substituting it here:

=> x = 6 + 8

Answer:

Hence, we got the values of x and y as:

[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]

Answer:

r=[tex]\frac{3t}{t-1}[/tex]

Step-by-step explanation:

t(r-3)=r

tr-3t=r

tr-r=3t

r(t-1)=3t

r=[tex]\frac{3t}{t-1}[/tex]

Answer:

1 1/2

Step-by-step explanation:

7 6/11 is close to 7 1/2

5 13/15 is close to 6

7 1/2 - 6 = 1 1/2

Answer:

-45

Step-by-step explanation:

I think one way you could do it is:

1. –3(–5) = 15

2. (–1)(3)​ = -3

3. (15) (-3) = -45

I used a calculator pls let me know if im incorrect

Answer:

x=8

Step-by-step explanation:

4(2x-5) = 5x + 4

First, use distributive property for the first part of the equation:

8x - 20 = 5x + 4  

Then, move everything to the left of the equation:

Remember, when you move something over an equals sign, the sign in front of the number changes.

8x - 20 - 5x - 4 = 0

Then, combine the like terms:

3x - 24 = 0

Move the -24 to the other side of the equation:

3x = 24

Finally, divide both sides by 3 to isolate the x.

3x/3 = 24/3

3 cancels out on the first half.

x = 24/3

x = 8

Hope this helps! Have a great day!

Answer:

x=8

Step-by-step explanation:

Step 1.

4(2x-5)=5x+4

8x-20=5x+4

Step 2.

Add 20 to both sides

8x-20=5x+4

8x-20+20=5x+4+20

Step 3.

Simplify add the numbers

8x=5x+24

Step 4.

Subtract 5x from both sides of the equation

8x=5x+24

8x-5x=5x+24-5x

Step 5

Simplify

combine like terms

3x=24

Step 6

Divide both sides of the equation by the same term

3x=24 3x/3=24/3

Step 7

Simplify

Cancel terms that are in both the numerator and denominator

divide the numbers

x=8

Answer:

36.1 in.

Step-by-step explanation:

1:19 , 1.9in.

1.9 * 19

which equals 36.1 in.

(HOpe This hElps:)

If correct plz give brainliest ; )

Answer:

85.5

Step-by-step explanation:

Answer:

(2*2 3+2) * (4*2 3-1/2)

(4*5) * (8*3-0.5) = (8*2.5)

20*200

4000

Answer:

I can't see much so take one more than I can help

Answer:

$4, 116.66 times 35%=1,440.83 is the answer.

Step by step equation:

The agency fee is 35% of one months payment ($4,116.66) or ($1,440.83)

all you had to do is 49,400 divided by 12 months and you get $4,116.66 and then you times that by 35% and you get $1,440.83

well there is -4 which is the oppsite of positive 4 if that what you ment

Answer:

2y + 5

Step-by-step explanation:

I hope this helps!

Hey there!

3 + 2 + y + y

= 3 + 2 + 1y + 1y

COMBINE the LIKE TERMS

= (3 + 2) + (1y + 1y)

= 5 + 2y

= 2y + 5

Therefore, your answer is: 2y + 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

It will take at least 45 cars

Step-by-step explanation:

so to start subtract 240 from 600

you get 360 then divide 8

this leaves you with 45

Hello there!

We are given the equation of the line

y=2x+3

What's the equation of the line perpendicular to it?

Therefore, this is the equation. Hope it helps. Good luck.

To clarify any doubts, use the comment section.

Answered by

~A lonely teen who helps others joyfully

-Grace

The quotient of 110 divided by 4 is 27 with a remainder of 2.

To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.

Draw a rectangle to represent 110.

Divide the rectangle into four equal parts to represent dividing by 4.

Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.

Determine the quotient. Count the number of equal parts, which in this case is 27.

Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.

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Answer:

37 cents.

Step-by-step explanation:

Two lightbulbs sell for 73¢, meaning one lightbulb sells for 36.5¢ (73/2), or "unit price" (the price for one of something). Rounded to nearest cent at 37¢.