Find the value of x.

Using substitution method, the solution of the given system of equations is (2,3)

A system of equation can be solved using:

The given system of equations:

5m - n = 7  ............   (1)

3 + 3n = 6m  .............. (2)

In equation (1), subtract 5m from both sides:

5m - n - 5m = 7 - 5m

-n = 7 - 5m

Multiply by (-1)

n = 5m - 7  ...... (3)

Substitute  n = 5m - 7 into equation (2)

3 + 3n = 6m

3 + 3(5m - 7) = 6m

15m -18 = 6m

9m = 18

m = 2

Substitute back m = 2 into equation (3)

n = 5m - 7

n = 5.(2) - 7 = 3

Hence, the solution is (2, 3)

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y-3=4 x is in point-slope form, it is neither in slope-intercept form nor standard form.

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.

The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.  

Therefore,

m =  y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.

Be aware that tan ∅ = y/x

We also refer to this tan as the line's slope

We know that  point-slope form = y₂ - y₁ = m(x₂ - x₁)

the equation looks like this in point-slope form ⇒ y-2= 4(x-0)

Here, the points are (x, y) and the points the line is passing through is

(0, 2)

y-2= 4(x-0) is in point-slope form, it is neither in slope-intercept form nor  standard form.

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Answer:

107 cars

Step-by-step explanation:

Answer:

107 cars

Step-by-step explanation:

10+7+5+9+11+26+44=107

A={x|x is an even number more than 0 but less than 5}

The distance between them when the force is 36 pounds is 5.06 feet.

According to the statement

We have to find that the distance between two bodies.

So, For this purpose, we know that the

A force is a push or pull upon an object resulting from the object's interaction with another object.

From the given information:

If the force of attraction is 64 pounds when the distance between the bodies is 9 feet

Then

F1 =64 pounds, r1 = 9 ft

F2 = 36 , r2 = ?

The gravitational force of attraction is inversely proportional to the square of distance between the two bodies.

So, F2 / F1 = r1^2 / r2^2

36 / 64 = 9 / r2

r2 = 0.56*9

r2 = 5.06.

So, The distance between them when the force is 36 pounds is 5.06 feet.

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Answer:

12 ft

Step-by-step explanation:

there is less force so the distance is greater

Answer:

1

Step-by-step explanation:

Answer:1

Step-by-step explanation:

The statement " The distance from point X to line q is the length of the segment perpendicular to line q from X" is true

Given,

The statement "The distance from point X to line q is the length of the segment perpendicular to line q from X "

From the figure we can say that the distance from point X to line q is the length of the segment perpendicular to line q from X.

So the given statement is true

Hence, the statement " The distance from point X to line q is the length of the segment perpendicular to line q from X" is true

The complete question is:

State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.

The distance from point X to line q is the length of the segment perpendicular to line q from X .

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A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100.

The percent of the given number 65 % of 360 is 234.

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100. The term percent comes from the Latin "per centum" which means per hundred. The symbol percentage is used to represent percentage.

Let the equation be 65 % of 360

Percentage = (value/total value) × 100 %.

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

65 % of 360 = 65/100 of 360

65/100 × 360 = 234

Therefore, the percent of the given number 65 % of 360 is 234.

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Answer:

21-3= 18 18 +18=36 36/6 =6

Step-by-step explanation:

correct 36/6=6

Answer:

This problem is not solvable. So, the correct answer is 21 – 3 + 18 ÷ 6 = 6

Step-by-step explanation:

21 – 3 + 18 ÷ 6 = 6

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Both the planes of the given equations,

2x+3y-z=12 (1)

2x-4y+z=8 (2)

They have been drawn in a three-dimensional plane, and the images are attached below.

The equation of the axis of symmetry is x = 6

The equation of the parabola is given as:

y = 2x^2 - 24x + 86

Differentiate the equation of the parabola

So, we have

y' = 4x - 24

Set the differentiated equation of the parabola to 0

So, we have

4x - 24 = 0

Add 24 to both sides of the differentiated equation of the parabola

4x = 24

Divide both sides of the differentiated equation of the parabola by 4

x = 6

This represents the the axis of symmetry

Hence, the equation of the axis of symmetry is x = 6

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Answer:

The player is running about 4 yards a second

Step-by-step explanation:

Answer:

2.5m a second

Step-by-step explanation:

Answer:

-10/9

Step-by-step explanation:

I made it so that 2/3 a -4/9 had the same denominator which turned 2/3 into 6/9

then I solved normally

Evaluating the expression b(2b - a) for a = 3 and b = -5 is equal to 65.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

To evaluate an expression or an equation means to substitute a value to the variable and perform the arithmetic operations included.

Given the expression b(2b - a), substitute the value of the variable a and the value of variable b.

b(2b - a)

-5[2(-5) - (3)]

Performing the arithmetic operations, we can have the value of the expression.

-5[2(-5) - (3)]

= -5(-10 - 3)

= -5(-13)

= 65

Hence, the expression b(2b - a) when a = 3 and b = -5 is equal to 65.

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The expression that best represent the given statement is mn + p. The correct option is B. mn + p

From the question, we are to determine the expression that represents the given statement

The given statement is

"the product of quantities m and n increased by p"

The product of m and n can be written as,

m × n = mn

Increased by p means, p was added to the expression.

Thus,

The statement, the product of quantities m and n becomes

mn + p

Hence, the expression that best represent the given statement is mn + p. The correct option is B. mn + p

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Answer: help is to make it easier for (someone) to do something by offering one's services or resources.

"they helped her with domestic chores"

Step-by-step explanation: hope this helps

Answer:

a). 14 hours a week

b). 10.5 hours a week

Step-by-step explanation:

His time = 42 hours a week

Quarter of his time = one fourth of his time.

Third of his time = one third of his time

So, for dealing with complaints:

42h * 1/3 = 42h / 3 = 14h

On the phone:

42h * 1/4 = 42h / 4 = 10.5h

Answer:

a) 14 hours

b) 10.5 hours

Step-by-step explanation:

42 hours = 1 week

a) 1/3 hours a week dealing with complaints

[tex]\frac{1}{3} *\frac{42}{1} = \frac{42}{3} = 14[/tex]

He spends 14 hours a week dealing with complaints.

b) 1/4 hours a week on the phone

[tex]\frac{1}{4} * \frac{42}{1} = \frac{42}{4} = \frac{21}{2} = 10.5[/tex]

He spends 10.5 hours a week on the phone.

According to the question, the given inequality interval expression can be represented is as follows:

In the expression of interval that is [5,♾). The left hand side contain square brackets and the right side bracket contains infinity.

Therefore, the interval contains the numbers which tells the starting point and the endpoint. In this, the interval starts from the point 5 and it takes infinite values on the line graph.

What is interval?

Interval contains all the numbers between the two given number in the intervals. The two numbers represent the starting coordinate point and the endpoint. There are different ways to show intervals. Some of the ways are inequality, number line, etc.

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Answer:

x intercept (0.5,0) & y intercept (0,-2)

Step-by-step explanation:

The corresponding sides have the same measure and are congruent. So,  ΔABC ≅ ΔXYZ by SSS.

What in mathematics is the Pythagoras Theorem?

Observe the graph, the triangles are right triangles. In triangle ABC, AC = 2 and BC = 4. Use the Pythagorean

Theorem to find AB.

AB² = AC² + BC²

AB = √ AC² + BC²

AB = √ 2² + 4²

AB = √4 + 16

AB = √20

Similarly In triangle XYZ, ZX = 2 and ZY = 4. Use the Pythagorean Theorem to find XY

XY² = XZ² +  ZY²

XY = √ XZ² + ZY²

XY = √ 2² + 4²

XY = √4 + 16

XY =  √20

The corresponding sides have the same measure and are congruent. So,  ΔABC ≅ ΔXYZ by SSS.

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The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.

A triangular is a geometry with 3 sides and three angles. The triangle has angles that sum up to 180 °.

In a triangle, if the angle is small then the opposite side will be short, and if the angle increases then the side also increases.

The sides of the triangle are in ascending order, then we have

WY < YZ < WX < XY < XZ

Then the sequence of the angles is given as,

∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ

The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.

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[tex]\displaystyle\\Answer:\ y=-\frac{1}{3} x+5[/tex]

Step-by-step explanation:

Choose two points that belong to this graph: (0,5)  (3,4)

                    Formula for a straight line:

                            [tex]\displaystyle\\\boxed{\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]

[tex]\displaystyle\\x_1=0\ \ \ \ \ x_2=3\ \ \ \ \ y_1=5\ \ \ \ \ y_2=4\\\frac{x-0}{3-0} =\frac{y-5}{4-5} \\\\\frac{x}{3}=\frac{y-5}{-1}[/tex]

Multiply both parts of the equation by -1:

[tex]\displaystyle\\-\frac{x}{3}=y-5\\\\ -\frac{x}{3} +5=y-5+5\\\\-\frac{x}{3}+5=y\\\\y=-\frac{1}{3}x+5[/tex]

The system of inequalities for this problem is given by:

The graphical solution is given at the end of the answer, and one possible solution is 12 hours babysitting and 3 hours walking the dog.

A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.

For this problem, the variables are given as follows:

He can work no more than 16 total hours, hence:

x + y ≤ 16.

He must earn at least $120, hence, considering the earnings with each activity:

10x + 6y ≥ 120.

These two inequalities compose the system. The graphical solution is composed by points that:

The graphical solution is given by the region shaded in blue at the end of the answer.

One possible solution inside the region is:

(12,3).

Meaning that he can work 12 hours babysitting and 3 hours walking the dog.

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The equivalent expression of -6(b + 2) + 8 is -6b - 4

The expression is given as

-6(b + 2) + 8

Expand

-6b - 12 + 8

Evaluate the like terms

-6b - 4

Hence, the equivalent expression of -6(b + 2) + 8 is -6b - 4

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Three angles fit around a point, two of the angles are 115° and 53° , then the size of third angle would be 192° and it would be a reflex angle.

The sum of the angles around a point is 360 °

If the two angles are 115° and 53° , the sum of the two angles would be 168°

If we reduce the sum of the two angles from the total 360° , we get the size of third angle as 192°

As the size of third angle is more than 180° , so the name of the third angle is reflex angle because right angle is measured 90° , obtuse angle is measured more than 90° but less than 180° , reflex angle is measured more than 180° but less than 360° and acute angle is measured less than 90 °

Correct question is - Three angles fit around a point. Two of the angles are 115° and 53° . Work out the size of third angle and which of the words below describe the third angle

• Right angle

• Obtuse angle

• Reflex angle

• Acute angle

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The mistakes Marshal made. He forget to divide the number last time by 10

25,328.941 ÷ 10^4

The division is the inverse of multiplication. When you divide a number by 10, each digit moves one place to the right to make it 10 times smaller.

=25,328.941 /10*10*10*10

= 25,32.8941 /10*10*10

= 25,3.28941 /10*10

= 25.28941 /10

= 2.528941

25,328.941 ÷ 104. The answer he wrote was 25.328941 written by a teacher

He forget to divide the number last time by 10

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Answer:

D

Step-by-step explanation:

Similar question to the one on your quiz