Two consecutive multiples of 9 sum up to 63. Fine the numbers

The measure of the angle RQS is 100 degrees, and the measure of the angle TQS is 80 degrees.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

ZRQT is a straight angle

The sum of the angle RQS and angle TSQ will be 180 degrees

9x + 1 + 7x + 3 = 180

16x + 4 = 180

16x = 176

x = 176/16

x = 11

RQS(9x+1)° = 9x11 + 1 = 100

TQS(7x+3)° = 7x11 + 3 = 80

Thus, the measure of the angle RQS is 100 degrees, and the measure of the angle TQS is 80 degrees.

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Answer: 5

Step-by-step explanation:

2(x-3)=4

2x-6=4

Add 6to each side

2x=10

Divide each side by 2

X=5

Does this help?

We get that, the solution for the inequality 2 x + 6 < 4 will be x ∈ ( - ∞ , - 1 ).

We are given an inequality:

2 x + 6 < 4

We need to find the solution for the inequality.

2 x + 6 < 4

Subtract 6 from both the sides, we get that:

2 x + 6 - 6 < 4 - 6

2 x < - 2

Divide both the sides by 2, we get that:

2 x / 2 < - 2 / 2

x < - 1

x ∈ ( - ∞ , - 1 )

Therefore, we get that, the solution for the inequality 2 x + 6 < 4 will be x ∈ ( - ∞ , - 1 ).

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The net change between the indicated points is -1 and the average net change is  - 0 . 75 .

The difference between the two f(x) values is the net change.

The ratio between the net change and the change between the two input values is used to calculate average net change or average rate of change. The average rate of change can be calculated using the same two points and the formula: f(b)-f(a) / b-a .

The two given points on the graph are (1,4) and (5,1)

The net change is given by the change in the y -coordinates of the graph .

Δy = y₂ - y₁

Here y₂ = 1

and y₁ = 4

Therefore Δy = y₂ - y₁ or, Δy = 1 - 4 = - 3

Hence the net change is -3 units.

Now the average net change is calculate by the change in y divided by the change in x.

average net change  = Δy ÷ Δ x

again , average net change = -3 ÷ ( 5 - 1 ) = - 0 . 75

The average net change for the function is  - 0 . 75

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The expression in factored form for the polynomial of the least possible degree is f(x) = (3 / 16) · (x + 2) · (x + 1) · (x - 2) · (x - 4).

A polynomial can be written as a product of a constant named lead coefficient and binomials of the form x - r, where r is the root of the polynomial. A root is a value of x such that the polynomial is equal to zero and the lead coefficient can be determined by using the y-intercept of the graph, then:

f(x) = a · (x + 2) · (x + 1) · (x - 2) · (x - 4)

Where a is the lead coefficient.

If we know that f(0) = 3, then the value of the lead coefficient is:

3 = a · (0 + 2) · (0 + 1) · (0 - 2) · (0 - 4)

3 = 16 · a

a = 3 / 16

The expression in factored form for the polynomial of the least possible degree is f(x) = (3 / 16) · (x + 2) · (x + 1) · (x - 2) · (x - 4).

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The amount of refrierant the tubing can hold is 0.037 cubic feet..

A cylinder is a three-dimensional object that is made up of a prism with a circular base. In order to determine how much refrigerant that cylindrical coil can hold, the volume of the cylinder has to be determined.

First, the dimension of the inside diameter has to be changed to feet

1 inch = 1/12 feet

3/4 x 1/12 = 1/16 feet

Volume of a cylinder = πr²h

Where:

Volume = 22/7 x (1/32)² x 12 = 0.037 cubic feet.

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The volume of Tyler's shoe box is 144 cubic inch

From the question, we are to calculate the volume of the shoe box.

From the given information, we have that

Tyler is filling the shoe box with cubes that are each 1 cubic inch.

and

He found out that 48 of the 1 cubic inch cube completely fills the bottom of the box

Also,

He observed that he can put 2 more layers of cubes in the box.

Thus,

The number of 1 cubic inch cube that would completely fill the box is

48 + (2×48)

= 48 + 96

= 144 cubes

Since the cubes are 1 cubic inch each,

Then,

The volume of the shoe box = 144 × 1 cubic inch

Volume of the shoe box = 144 cubic inch

Hence, the volume of Tyler's shoe box is 144 cubic inch

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Answer:

x = 121°

Step-by-step explanation:

180° - 155° = 65°

360° - 304° = 56°

x = 65° + 56° = 121°

Answer:

2(46+w) + 2(w)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y = (-116)(51)(-2)

Y = (-116) × (51) × (-2)

A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented the following equation:

y = kx

Where:

Since the recipe ingredients remain in a constant ratio, we have:

k = y/x

For table 1, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 4/3.

For table 2, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 8/3.

For table 3, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 5/3.

For table 4, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 6/3 = 2.

In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.

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Answer:

x=0

Step-by-step explanation:

4x -3y =12

4x - 3(-4)=12

4x+12=12

4x=0

x=0

Answer: C) y=12/5x

Step-by-step explanation:

Divide 12 messages by 5 posts to find out how many messages you would receive for just posting 1 message (2.4)

Then determine how many times it goes into 96 (2.4 x 40 = 96)

Answer:

51.92

Step-by-step explanation:

135/260 = .51923076923  x 100 to get the percentage

51.923076923 and round

Answer:

2. 4f+s, 3. 3c+10, 4. b-3, 5. f < 2t, 6. 3p + b, 7. 5w + 2, 8. c + 2w + f < 100

Answer:

11.1

Step-by-step explanation:

This is a question involving ratios and proportions

The ratio of man's height to his shadow length = 6.5/4.7

The ratio of flagpole height to its shadow must be in the same ratio

If h is the height of the flagpole then h/8 is the ration of height to shadow length

Therefore,

[tex]\dfrac{6.5}{4.7} = \dfrac{h}{8}\\\\\mathrm{Multiplying \;both\;sides\;by\;8\;}\\\\\dfrac{6.5 \times 8 }{4.7} = h \\\\Or,\\h = \dfrac{6.5 \times 8 }{4.7} \\\\Which\;simplifies\;to:\\\\h = 11.0638\\\\h = 11.1 \;rounded\;to\;the\;nearest\;tenth\;of\;a\;foot[/tex]

The information about the triangle will be:

Length of the shorter leg: = 5cm

Length of the longer leg: = 12cm

Length of the hypotenuse: = 13cm

It should be noted that the formula for illustrating the information is:

c² = a² + b²

where c = hypothenuse

The shorter leg = x

Longer leg = x + 7

Hypothenuse = 13

Therefore, c² = a² + b²

13² = x² + (x + 7)²

169 = x² + x² + 14x + 49

169 = 2x² + 14x + 49

169 - 2x² - 14x - 49 = 0

-2x² - 14x + 120 = 0

Multiply through by minus

2x² + 14x - 120 = 0

Divide through by 2

x² - 7x - 60

x² - 12x + 5x - 60

x(x - 12) + 5(x - 12)

Therefore, the smaller length is 5cm and the bigger Length is 12cm

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Answer:

y = -5x + 10

Step-by-step explanation:

Answer:

-5x + 10

Step-by-step explanation:

If a line 2 is perpendicular to line 1 and line 1 has slope m, then line 2 must have slope = [tex]\sf -\dfrac{1}{m}[/tex] which is the negative of the reciprocal of m

Essentially the product of the two slopes = -1

The line
[tex]y = \dfrac{1}{5}x - 19[/tex]
has slope of  [tex]\dfrac{1}{5}[/tex] so the slope of line h which is perpendicular to this line must have slope = negative of reciprocal of [tex]\dfrac{1}{5}[/tex]

Reciprocal of [tex]\dfrac{1}{5}[/tex] is 5
Negative of reciprocal is thus -5

Equation of h is of the form
y = -5x + b where b is the y intercept, the value of y at x = 0

Since line h passes through (3, 0) we plug in these values for x and y and solve for b
0 = -5(3) + b

0 = -15 + b
15 = b                  (Adding 15 on both sides)
b = 15

Equation of line h is y = -5x + 15

Line g is parallel to line h. Parallel lines have the same slope so the equation for line g is
y = -5x + b                     (since slope of g = slope of h = -5)

Since this line passes through x = -1, y = 15 we can solve for b as before by plugging these values into the equation

15 = -5(-1) + b
15 = 5 + b
10 = b         (Subtracting 5 on both sides)
b = 10

So equation of line g = -5x + 10

The value of C3, when B2 is changed from 7 to 9 is 18.

Given that, B2 is changed from 7 to 9.

The formula is a fact or a rule written with mathematical symbols. It usually connects two or more quantities with an equal sign. When you know the value of one quantity, you can find the value of the other using the formula.

The given formula = B2 × 2

When B2 is 7, the value of C3 is 14

When B2 is changed from 7 to 9, the value of C3 is B2 × 2 = 9 × 2

=18

Therefore, the value of C3, when B2 is changed from 7 to 9 is 18.

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The suggested answers to the absolute value problem l x - 13 l = 7.

Except for 0, the absolute value is represented by a positive integer. In a variety of mathematical and physical situations, the notions of magnitude, distance, and norm are intimately related to the concept of absolute value.

In order to do this on a budget, find a number N that:

N-10=-(N + 4)

When we isolate N, we obtain:

2N= 10-4= 6

N= 6/2= 3

Following that, N-10= 3-10=-13, and N + 4= 3 + 4= 7.

as well as the fact that I-13I= I7I.

We can now express our equation as follows:

l x-13 l =7

As a result, where the roots (or solutions) of x = -10 and x = 4 are.

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The equation of a line that contains the points (-7, 6) and (3, 8) is  [tex]y=\frac{1}{5} x+\frac{37}{5}$$[/tex]

Find the line [tex]$y=m x+b$[/tex]passing through [tex]$(-7,6),(3,8)$[/tex]

Compute the slope [tex]$(-7,6),(3,8): \quad m=\frac{1}{5}$[/tex]

Compute the [tex]$y$[/tex] intercept: [tex]$\quad b=\frac{37}{5}$[/tex]

Construct the line equation [tex]$\mathrm{y}=\mathrm{mx}+\mathrm{b}$[/tex]where [tex]\mathrm{m}=\frac{1}{5}$ and $\mathrm{b}=\frac{37}{5}$[/tex]

[tex]y=\frac{1}{5} x+\frac{37}{5}$$[/tex]

The Slope intercept form is a system for determining a straight line's equation. The equation of a straight line is the relationship that

The slope- intercept form of a straight line is used to find a line's equation. The pitch of the line and the intercept cut by the line with the y- axis are needed for the pitch- intercept formula. Consider a straight line with pitch' m' and y- intercept For a straight line with a pitch, 'm,' and' b' as the y- intercept, the pitch intercept form equation is y = mx b. Then are some cases of pitch intercept forms.

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2 is the input value, while 6 is the result.

We know the rule is Multiply the input by 6 to get the output.

= (2*5)-4

=10-4

=6.

A function rule is the equation-based relationship between dependent and independent variables. How to calculate the value of the dependent variable, say y, in terms of the independent variable, say x, is explained by the function rule of a particular function. A function table includes a function rule as well as input and output values. If we plug in various values for the input, we obtain corresponding values of output according to the function rule. The relationship between the input values x and the output values y always follows a pattern that is specified by the function rule.

Hence, the input and output value of a table is 2 and 6.

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Mia's total accounts receiving is $1,50,000.

Given :

receivables dues paid by customers = $90,000

Let Mia's total accounts receiving be $ x.

According to the question,

⇒ 60% of x = 90,000

⇒ [tex]\frac{60}{100} x[/tex] = 90,000

⇒ x = (90,000×100) /60

       = 1,50,000

Therefore, Mia's total accounts receiving is $1,50,000.

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The side length of Amanda's phone is 8 inches.

A scale drawing is either an enlarged or reduced image of another image or object. A scale drawing is enlarged or reduced using a scale. A scale is a used to determine the ratio between the scale drawing and the original diagram.

The scale is used to keep the proportion of the dimensions between the scale drawing and the original diagram similar. The scale in this diagram is 7inches to 1 inches. This means that the screen on the wall is 7 times larger than her phone's screen.

In order to determine the side length of Amanda's phone, divide the scale of the screen by the side length of the screen on the wall.

Side length of Amanda's phone = 56 inches / 7 inches

= 8 inches

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Answer:

m-6

Step-by-step explanation:

this is what I think it it

Answer: The quotient is when x+ 5x + 2 = 6

The reminder is when x+ 5x + 2 = -4  

Step-by-step explanation:

Given data,

The quotient and the remainder when x + 5x + 2 is divided by x + 1

Let, f(x) = x + 5x + 2

      g(x) = x+1

we can write,

   g(x) = x+1 = 0

   g(x) = x = -1

so,        f(x) = x + 5x + 2

we can substitute x = -1 value

             f(x) = x + 5x + 2

             f(-1) = (-1) + 5(-1) + 2

             f(-1) = (-1) - 5 + 2

              f(-1) = (-1) - 3

              f(-1) = -4

Therefore,

The quotient is when x+ 5x + 2 = 6

The reminder is when x+ 5x + 2 = -4        

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The decimal that shows 0.06 as an equivalent number of thousands is 0.060

The number is given as

0.06

To determine the equivalent number of the decimal in thousands, we simply add more zeros after the last significant digits

So, we have

Number = 0.0600000

Reduce the zeros till the thousandth place value

So, we have

Number = 0.060

Hence, the decimal that shows 0.06 as an equivalent number of thousands is 0.060

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Answer:

y = 2x + 1

Step-by-step explanation:

The slope is

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

Substituting into point-slope form, the equation is

[tex]y-3=2(x-1)[/tex]

which rearranges into slope-intercept form as:

[tex]y-3=2x-2 \\ \\ y=2x+1[/tex]

Answer:

d is the answer to your question