Two lines, R and M, are represented by the following equations:

Line R: 2x + 2y = 18
Line M: x + y = 9

Which statement is true about the solution to the set of equations? (4 points)

a
It is (18, 9).

b
It is (9, 18).

c
There are infinitely many solutions.

d
There is no solution.

Answer:

C.

Step-by-step explanation:

c is the only one that even makes sense

C. Distribute 6 to eliminate the parentheses.

To solve an equation we follow BODMAS rule which stands for first solving which are inside brackets then we divide terms to each other if division is given.Then we multiply terms if multiplication is given.Next step we add terms if given.In last we do subtraction if it is in the given expression.If any of these operations are not given we just skip and do the next operation according to the BODMAS rule.

According to the given question

Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5.

6( 2x + 1 ) - 3 = 4x - 5

12x + 6 - 3 = 4x - 5

12x + 3 = 4x - 5

12x - 4x = - 5 - 3

8x = - 8

 x = -8/8

 x = -1

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Given:

The equation is

[tex]1.5x+4.5y=18[/tex]

To find:

The y-intercept (in ordered pair).

Solution:

We have,

[tex]1.5x+4.5y=18[/tex]

Putting x=0, we get

[tex]1.5(0)+4.5y=18[/tex]

[tex]0+4.5y=18[/tex]

[tex]4.5y=18[/tex]

Divide both sides by 4.5.

[tex]y=\dfrac{18}{4.5}[/tex]

[tex]y=4[/tex]

So, y-intercept is 4.

Therefore, the graph intersect the y-axis at (0,4).

Answer:

Step-by-step explanation:

Multiply the members of the revenue equation by 2:

system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29

Three linear equations in three unknowns. Solve.

Answer:

A

Step-by-step explanation:

You would divide it by pie r squared to get h then flip the equation around so it would be

h= v/ pie r squared

Answer:

Explanation

V = π r^2 H

V = π × r × r × H

V/ π r^2 = H

H = V/π r^2

Answer:

uh 36

Step-by-step explanation:

did you really need this answer or did u just felt like giving away points

Answer:

slope of p= -7/12

slope of q= -3/6.8

slope of r= -16/6.4

slope of m= 6.2/15.5

slope of n= 6.8/17

Step-by-step explanation:

The slopes of the line are given as 2.5 for p and q and -2.5 for r, m and n respectively.

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The slope of the given lines can be obtained as follows,

(a) In order to find slope of line p,

Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,

m = (-3 - 8)/(0.4 - (-4))

⇒ m = -2.5

(b)  In order to find slope of line q,

Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,

m = (13 - 0)/(6.8 - 12)

⇒ m = -2.5

(c)  In order to find slope of line r,

Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,

m = (13 - (-3))/(6.8 - 0.4)

⇒ m = 2.5

(d) In order to find slope of line m,

Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,

m = (-15.5 - 0)/(0 - 6.2)

⇒ m = 2.5

(e)  In order to find slope of line n,

Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,

m = (-5 - 12)/(- 6.8 - 0)

⇒ m = 2.5

Hence, the slopes of first two lines are 2.5 and of the remaining three are 2.5.

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Answer:

The answer is 2nd one

2nd pair of triangle is congruent by ASA(angle side angle)

Answer:

2nd option is correct.

Answer:

the point where the line on the graph meets the y-axis

Answer:

What is an y-intercept ?

A y-intercept is in analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x= 0.

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Based on his weekly salary and commission, we can calculate that Mr. Randall sold goods worth $1,800.

In the formula given, sales is represented as s. To find the total sales, you can solve the equation:

300 + 0.07s = 426

0.07s = 426 - 300

s = 126 / 0.07

= $1,800

In conclusion, Mr. Randall sold $1,800 worth of goods.

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Answer: The answer is 27

Given:

We will:

Subtract the total distance he plants to travel by the amount he has left.

Equation: [tex]\mathrm {56 - 29 = 27}[/tex]

Our answer is 27. Best of Luck!

Given:

[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]

To find:

The correct multiplication that can be used to check this division problem.

Solution:

We have,

[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]

[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}=\dfrac{3}{2}[/tex]

Multiply both sides by [tex]\dfrac{4}{15}[/tex].

[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}\times \dfrac{4}{15}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]

[tex]\dfrac{2}{5}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]

So, the required multiplication is [tex]\dfrac{3}{2}\times \dfrac{4}{15}[/tex].

Therefore, the correct option is B.

Answer:

Which multiplication expression can be used to check this division problem:  StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction

Two-fifths times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 15 Over 4 EndFraction

Five-halves times StartFraction 15 Over 4 EndFraction

Step-by-step explanation:

( B) AKA 3/2 x 4/15 . This is correct  because I just took the test

Answer:

x = 29

Step-by-step explanation:

The two labeled angles are same-side interior angles of parallel lines cut by a transversal. They are supplementary, so their measures have a sum of 180 deg.

2x - 10 + 4x + 16 = 180

6x + 6 = 180

6x = 174

x = 29

Answer:

a

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The integer that represents the difference in high temperature from Monday to Tuesday is 38.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The high temperature on Monday was -14 degrees.

On Tuesday the high temperature was 24 degrees.

The temperature difference between Monday and Tuesday.

= Temperature on Tuesday - Temperature on Monday

= 24 - (-14)

= 24 + 14

= 38

Thus,

The integer that represents the difference in high temperature from Monday to Tuesday is 38.

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Answer:

The coordinates of C are (8,2)

Step-by-step explanation:

We are given the segment from A(-4,-7) to B(12,5) and it's required to find a point C(x,y) that is located at 3/4 of the distance from A to B.

This means that:

[tex]d_{AC}=3/4\cdot d_{AB}[/tex]

where dAC is the distance from A to C and dAB is the distance from A to B.

The same proportion of the distances is satisfied by the coordinates of the point C, that is:

[tex]\displaystyle x-x_A=\frac{3}{4}(x_B-x_A)[/tex]

Adding xA:

[tex]\displaystyle x=\frac{3}{4}(x_B-x_A)+x_A[/tex]

[tex]\displaystyle x=\frac{3x_B+x_A}{4}[/tex]

Similarily:

[tex]\displaystyle y=\frac{3y_B+y_A}{4}[/tex]

Calculating:

[tex]\displaystyle x=\frac{3(12)-4}{4}[/tex]

x = 8

[tex]\displaystyle y=\frac{3(5)-7}{4}[/tex]

y = 2

The coordinates of C are (8,2)

Answer:

Mike can make 4 bows

Step-by-step explanation:

Given

[tex]1\ bow = 3\frac{1}{2}\ ft[/tex]

[tex]Ribbon = 14\ ft[/tex]

Required

Determine the number of bows he can make

To do this, we simply divide the length of the ribbon by length of 1 bow:

i.e.

[tex]Number = Ribbon/1\ bow[/tex]

[tex]Number = 14\ ft/3\frac{1}{2}\ ft[/tex]

[tex]Number = 14/3\frac{1}{2}[/tex]

[tex]Number = 14/\frac{7}{2}[/tex]

Convert to *

[tex]Number = 14 * \frac{2}{7}[/tex]

[tex]Number = \frac{28}{7}[/tex]

[tex]Number = 4[/tex]

Hence, Mike can make 4 bows

Answer:

b

Step-by-step explanation:

Answer:

A. x + 200 = 450

Step-by-step explanation:

Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is

A x + 200 = 450

Answer:

60

Step-by-step explanation:

3×20 is 60, and it works with 5, and it is the smallest possible Multiple

Answer:

60

Step-by-step explanation:

Find the prime factorization of each number:

3 = 3

5 = 5

20 = 2^2 * 5

LCM = product of common factors with greatest exponent and non-common factors.

LCM = 3 * 5 * 2^2 = 15 * 4 = 60

9514 1404 393

Answer:

  -1

Step-by-step explanation:

Solving the given equation for y, we have ...

  x -y = 18

  y = x - 18 . . . . . add y-18

The coefficient of x is 1. That is the slope of the given line. The desired perpendicular line will have a slope that is the negative reciprocal of this:

  m = -1/1 = -1

The slope of the perpendicular line is -1.

__

The graph shows you that a line with slope -1 is perpendicular to the given line.

Answer:

et's start by defining the three consecutive integers.

.

If x represents the least of the three, then the next consecutive integer is x+1 and the

next consecutive integer is 1 more than that ... or x + 2

.

So the three consecutive integers are x, x+1, and x+2.

.

Twice the least integer is, as you correctly wrote, 2x.

.

12 more than the greatest integer is x+2 + 12 = x + 14

.

Since these two amounts must be equal, you can write:

.

2x = x + 14

.

Now you need to get rid of the x on the right side so that you end up with all the terms

containing x on one side of the equation and everything else on the other side. You can

get rid of the x on the right side by subtracting x from the right side. But if you subtract

something from the right side, you must also subtract it from the left side to keep the

equation in balance. So subtract x from both sides. When you do that, the x disappears

from the right side and the left side becomes 2x minus x which is just x.

.

So the equation is reduced to:

.

x = 14

.

If x is 14 then the next two consecutive integers are 15 and 16 ... x+1 and x+2. So the

three consecutive integers are 14, 15, and 16.

.

Check ... the least integer is 14. Twice the least integer is 28. Is 28 actually 12 more

than the greatest integer which is 16? Yes it is, so the problem checks.

.

You were on the right track, but you just needed to know the difference in the three integers

was that they were x, x+1, and x+2. Hope this helps to show you how you could work the

problem through to get the final answer.

Step-by-step explanation:

Answer:

C. 0.99493

Step-by-step explanation:

Hope this helps!

The probability that the person will not die in the next year should be considered as the 0.00943.

Since

the probability that a person will die in the next year is 507/100,000

So, it can be like

[tex]= (100,000 - 507) \div 100,000[/tex]

= 0.99493

hence, The probability that the person will not die in the next year should be considered as the 0.00943.

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Answer:

x = 111°

x° = 111°

(x-42)° = 69°

Step-by-step explanation:

Any polygon with *n* number of sides has an interior angle sum of (n-2) × 180°.

Therefore this right trapezoid must have an interior angle sum of 360° because

a trapezoid has 4 sides → n = 4 →

(n-2) × 180° = (4-2) × 180° = 2 × 180° = 360°

Because we are given a 90 degree angle with a set of parallel sides, the angle above that must also be a right angles well so these will total 180°.

The last two angles are given by the two expressions x°, and (x-42)°. Because we know the sum of these angles which are 360° we can create the following equation from these angles and solve!

180° + 2x - 42° = 360°

(Group the constants / numbers without a variable ; associative property of addition)

180° - 42° + 2x = 360°

(Find the total value of the constants)

138° + 2x = 360°

(subtract 138° from both sides to isolate 2x on the left side ; subtraction property of equality)

138° - 138° + 2x = 360° - 138°

(Work out the value of the constants again)

2x = 222°

(divide by 2 on both sides to cancel out the coefficient of 2 in 2x to get x by itself ; division property of equality)

2x / 2 = 222° / 2

(Simplify the two expressions)

x = 111°

_____________________

To find the measure of the x expressions, just substitute x = 111° into the expressions and simplify to find the measure!

So:

x = 111° → x° = 111°

x = 111° → (x-42)° → (111 - 42)° = (69)° →

(x-42)° = 69°

Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I am smart

Answer:

♡ madeline here ♡

- 1 is your answer. ✿

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

it increases 3° each hour

3*2= 6

6° after 2 hours

3*3= 9

9° after 3 hours

3*6= 18

18° after 6 hours