If m <5 = x°, which angles also have a measure of xº? Select all that apply..A. <1B. <4C. <9D. <12.

Answer:

what is the substitution method???

Step-by-step explanation:

The total sales of the saleswoman is 20000 and the amount of her sales is $ 1200

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of sales of saleswoman = x

The amount a saleswoman makes per month = $ 1000

The percentage commission on her sales = 6 % of total sales

                                                                      = ( 6/100 )x

The total amount received by saleswoman =
amount a saleswoman makes per month + percentage commission on her sales

The total amount received by saleswoman = $ 2200

The total amount received by saleswoman = 1000 + ( 6/100 )x

So , the equation will be ,

2200 = 1000 + ( 6/100 )x

Subtracting 1000 on both sides , we get

( 6/100 )x = 1200

Multiply by 100 on both sides , we get

6x = 120000

Divide by 6 on both sides , we get

x = 20000

So , the total number of sales of saleswoman is 20000

The amount of sales =
total amount received by saleswoman - amount a saleswoman makes per month

The amount of sales = 2200 - 1000

                                   = $ 1200

Hence , the total sales of the saleswoman is 20000 and the amount of her sales is $ 1200

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After eliminating the parameter, the rectangular equation is y = x³ – 3x² + 3x – 1. Option C is the correct option.

What is a rectangular equation?

An equation in rectangular form, also known as a rectangular equation, is a single equation written in the standard form in mathematics that uses variables like x, y, and z.

Given parametric equations are

y = t³  .......(i)

x = t + 1  .....(ii)

Calculate the value of t from equation (ii):

x = t + 1

t = x - 1

Putting t = x - 1 in equation (i):

y = (x - 1)³

Applying algebric identity (a - b)³ = a³ – 3a²b + 3ab² – b³:

y = x³ – 3x² + 3x – 1

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Answer:

c

cubic

all real numbers

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3 x 4 ÷ 6 + 3²

multiply 3 and 4 to get 12

\(\frac{12}{6}\)+3²

divide 12 by 6 to get 2

2+3²

find 3 to the power of 2 to get 9

2+9

Add 2 and 9 to get 11

11

hope this helps!

The five number summary is:

Minimum = 3

First quartile(Q1) =3

Median =7

Third quartile(Q3) = 22

Maximum = 25

Given data, 6, 5, 3, 3, 25, 22, 3, 23, 7, 3, 20, 19, 23, 18, 5.

 we have  to arrange in ascending order ,

3, 3, 3, 3, 5, 5,6, 7, 18, 19, 20, 22, 23, 23, 25

Minimum value = 3

Maximum value = 25

since , number of data = 15

So , Median = middle term = 7

Median of first half = First quartile

here first half = { 3, 3, 3, 3, 5, 5, 6}

median of first half terms = 3 (middle term)

Q1 = 3

Third quartile = Median of second half terms

( 18, 19, 20, 22, 23, 23, 25)

median of second half  terms = 22

Q3 = 22

Hence, the five-number summary for the given data set :

min = 3, Q1 =3,  median =7 , Q3 = 22, max = 25 .

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The value of XZ is given by 26.

Given that the triangles RST and XYZ are congruent to each other.

So, RS = XY, since corresponding parts of Congruent triangles are equal.

Given also that,

RS = 11x-1

XY = 9x+5

XZ = 7x+5

So, RS = XY gives

11x-1 = 9x+5

11x-9x = 5+1

2x = 6

x = 6/2

x = 3

Substituting the value of x in the value of XZ is given by,

XZ = 7x+5 = 7*3+5 = 21+5 = 26

Hence the value of XZ is 26.

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The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

Step-by-step explanation:

This is a Law of Sines problem. The expanded formula is

\(\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}\) where the capital letters are the angles and the lowercase letters are the side lengths. We only use 2 of these ratios at a time. And in order to do that, we can only have one unknown per set of ratios. I have angle A and side a, so I'll use that ratio, but I don't have angle C to help me find side c. I also don't have angle B. But I do have side b, so I'll use the A and B sin stuff and then solve for C indirectly.

\(\frac{sin15}{9} =\frac{sinB}{12}\) to solve for angle B. Cross multiply:

\(sinB=\frac{12sin15}{9}\)

\(sinB=.3450926061\)  Use the inverse and sin keys on your calculator (in degree mode) to get that

B = 20.2°.  Now that we have that, we can find the measure of angle C:

180 - 15 - 20.2 = 144.8°

Now we can use the sin ratio involving the angle C, side c (our unknown), and angle A and side a:

\(\frac{sin144.8}{c}=\frac{sin15}{9}\) and cross multiply to solve for c:

\(c=\frac{9sin144.8}{sin15}\) gives us that

c = 20.0

Answer:

NO ! For 30, the answer is: No, 30 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 30) is as follows: 1, 2, 3, 5, 6, 10, 15, 30.

Step-by-step explanation:

Answer:

depth 5 8.3 ft, length 5 24.9 ft, width 5 16.8 ft

Answer:

(x - 2)(x + 4)

Step-by-step explanation:

What are the factors of: f(x) = \(x ^2 + 2x - 8\)

\(x ^2 + 2x - 8\)

a = 1

b =  2

c = -8

Find two numbers that add to 2 and multiply to -8:

-2 + 4 = 2

-2(4) = -8

factors are:

(x - 2)(x + 4)

x₁ = 3

x₂ = - 12

Hi there !

| 2x + 9 | = 15

1.

2x + 9 = 15

2x = 15 - 9

2x = 6

x = 6 : 2

x₁ = 3

2.

2x + 9 = - 15

2x = - 15 - 9

2x = - 24

x = - 24 : 2

x₂ = - 12

Good luck !

A fraction of the students who have brown hair is equal to 1/7.

You should shade only one (1) section on the pie chart to show the number of students with brown hair.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;

Number of brown hair = 1 brown hair.

Number of blonde hair = 4 blonde hair.

Number of black hair = 2 black hair.

Therefore, the total number of hairs is equal to 7 hairs.

For the fraction of students with brown hair, we have;

Fraction = 1/7.

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Answer:

\(\huge\boxed{\sf x = -2}\)

Step-by-step explanation:

2(3x - 3) = -18

6x - 6 = -18

6x = -18 + 6

6x = -12

x = -12/6

\(\rule[225]{225}{2}\)

Answer: x=-2

Step-by-step explanation:

Step 1. Multiply the 2×3x and 2×3 which would make the problem 6x-6=-18

Step 2. Add the -6 to the -18 and multiply that answer of -12 by 6 to get your final answer of x=-2

The solution of x in the inequality is x > 2

The inequality is given as:

5x + one third(3x + 6) > 14

Rewrite properly as:

5x + 1/3(3x + 6) > 14

Open the brackets

5x + x + 2 > 14

Subtract 2 from both sides of the inequality

5x + x + 2 - 2> 14 - 2

Evaluate the difference

5x + x > 12

Evaluate the like terms

6x > 12

Divide both sides of the inequality by 2

x > 2

Hence, the solution of x in the inequality is x > 2

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Answer:

x > 2, like the other guy said

Step-by-step explanation:

I hope this helps

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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Answer:

The equation is:

\(\boxed{y=-0.0016(x-125)^2+25}\)

where:

Step-by-step explanation:

The path of the golf ball can be modelled as a parabola that opens downwards, where x is the horizontal distance travelled (in yards) and y is the height of the ball (in yards). The equation of a parabola that opens downwards is a quadratic equation where the leading coefficient is negative.

If the horizontal distance (x) the golf ball travels is 250 yards, then its height (y) will be zero when x = 0 and x = 250. Therefore, the x-intercepts of the parabola are x = 0 and x = 250.

A parabola is symmetric about its axis of symmetry.

The axis of symmetry is the x-value of the vertex, and is midway between the x-intercepts. As the x-intercepts are x = 0 and x = 250, the axis of symmetry (and thus the x-value of the vertex) is x = 125.

If the maximum height the golf ball reaches is 25 yards, then the y-value of the vertex is y = 25. Therefore, the vertex of the parabola is (125, 25).

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

We can use the vertex form of a quadratic equation to write an equation for the height of the ball, y, for any distance travelled, x.

Substitute these values into the formula and solve for a:

\(\implies 0=-a(0-125)^2+25\)

\(\implies 0=-15625a+25\)

\(\implies -15625a=25\)

\(\implies a=-0.0016\)

Therefore, the equation is:

\(\boxed{y=-0.0016(x-125)^2+25}\)

where:

Answer:

The equation is...

Those listed forms are factored form, standard form, and vertex form in that order.

The graph is below.

================================================

Explanation:

We'll have the ball start at the origin of the xy axis grid. This means (x,y) represents the location of the ball in the air. Assume the ground is completely flat, horizontal, and level. The ball moves to the right.

x = 0 and x = 250 are the two roots of this parabola. The ball starts on the ground at x = 0, goes up into the air, and comes back down when x = 250. This is to represent the 250 yard gap from start to finish.

Together we have x(x-250) so far. It then leads to

y = ax(x-250)

where 'a' is some fixed constant. This constant tells how to vertically stretch the parabola, and it also tells us if the parabola opens up or down.

----------------------

At the midpoint of the roots 0 and 250 is (0+250)/2 = 125. This is when the ball reaches its peak height. This assumes there isn't any wind to slow down the ball or speed it up. Unfortunately wind will ruin any chance of symmetry we'll be going after; so that's why we assume there isn't wind to keep things relatively simple. We'll also ignore air resistance for the same reasoning.

x = 125 is the horizontal distance the ball traveled when it reaches the peak height of y = 25. In other words (x,y) = (125,25) is the vertex point of the parabola.

We'll use these coordinates to determine the value of 'a'.

y = ax(x-250)

25 = a*125(125-250)

25 = a*125(-125)

25 = a*(-15265)

a = 25/(-15265)

a = 25/(-625*25)

a = -1/625

The negative value of 'a' is expected because the parabola opens downward.

Therefore, we go from y = ax(x-250) to y = (-1/625)x(x-250)

That is the same as writing \(\text{y} = -\frac{1}{625}\text{x}(\text{x}-250)\) which is one possible answer for the equation. We call it factored form.

-----------------------------

Optionally we could expand things out like so

y = (-1/625)x(x-250)

y = (-1/625)(x^2-250x)

y = (-1/625)(x^2)+(-1/625)(-250x)

y = (-1/625)x^2+(250/625)x

y = (-1/625)x^2+(2/5)x

That is the same as writing \(\text{y} = -\frac{1}{625}\text{x}^2+\frac{2}{5}\text{x}\) which is another valid answer for the equation.

This is known as standard form y = ax^2+bx+c

--------------------------------

Lastly we could have used vertex form.

We calculated a = -1/625 earlier.

The vertex is (h,k) = (125,25) mentioned earlier as well.

We go from y = a(x-h)^2+k to y = (-1/625)(x-125)^2+25

That is the same as writing \(\text{y} = -\frac{1}{625}(\text{x}-125)^2+25\) which is the third valid option for the equation.

The graph is below. I used GeoGebra to make the graph. Desmos is another good option.

Answer:

13 glue sticks cost $25.22.

Step-by-step explanation:

4 blue sticks cost $7.76, this means that one glue stick costs

$7.76/4 = $1.94.

Let  be the cost of the glue sticks, and  be the number of glue sticks; then

We can use this equation to find the cost of 13 glue sticks; we just put  into our equation and it gives:

So 13 glue sticks cost $25.22.

Answer:

give me 1 second to answer with the correct answer

Answer:

step 1. Angle bisector theorem.

step 2. 14/6 = 21/ (3x - 12)

step 3. 14(3x - 12) =21(6)

step 4. 6x - 24 = 18

step 5. 6x = 42

step 6. x = 7.

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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Assuming both cars start at the same position, in the first 3 hours the first car covers a distance of

(40 mi/h) (3 h) = 120 mi

Take the 3 hour mark to be the origin, so that the first car's position after t hours is

120 mi + (40 mi/h) t

while the second car's position is

(55 mi/h) t

The second car catches up to the first when their positions are equal:

120 mi + (40 mi/h) t = (55 mi/h) t

120 mi = (15 mi/h) t

t = (120 mi) / (15 mi/h)

t = 8 h

2)

1,700 gallons for 3 pumps

Divide 1,700 by 3 and we get what one pump does; 566 \(\frac{2}{3}\)

We need 5,500 gallons, so we can divide by 566 \(\frac{2}{3}\) for an answer of about 6.4782. You cannot have half of a pump, so our answer is 7 pumps.

3)

\(\frac{7fragments}{500tons} = \frac{100}{x}\)

Cross multiply:

7 times x = 7x

500 times 100 = 50,000

50,000 = 7x

Divide both sides by 7:

7,142 tons of gravel = x

4)

Dozen = 12

12 divided by 3 (number of eggs) = 4

4 (batches you could make) times 4 (cookies made) = 16

So you could make 16 dozen cookies with a dozen eggs

I hope this helps, have a nice day :D

Hopefully you can read what the fractions say, they are formatted weird xD

Answer:

Kindly check explanation

Step-by-step explanation:

33% is approximately 1/3 of a whole ; that is 1/3 of 100%

Hence, 59 / 3 = approximately 19

Approximately 20

Another way is to take 59 as 60, nearest 10, then divide by 3 to obtain ; (60 /3) = 20

To obtain 25% of 98.50

25% = 1/4th

Take value as 98 and divide by 4

Take value as 100 and divide by 4

2% of 150 people

2% = 1/50

Quick division of 150 into 50 places to obtain the approximate value.

To obtain the exact solution for the questions above :

Multiply 33% by 59

0.33 * 59 = 19.47

Multiply 25% by $98.50

0.25 * $98.50

$24.625

Multiply 2% by 150

0.02 * 150

= 3 people

Answer:

6cd^3

Step-by-step explanation:

-48c^2d^4/-8cd

you divide the -48 by -8 and you get 6.

6c^2d^4/cd

when you divide c^2 by c, d^4 by d you get c and d^3 - this is kind of because c^2 is cxc/d^4 is dxdxdxd and when you divide it by c/d the ^ decreases.

Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

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The graphs of the functions f(x) = x² + 2x + 4 and g(x) = -x² - 2x + 4 are attached.

Parabolic graphs are a type of graph that represents quadratic functions.

A quadratic function is a polynomial function of degree 2, meaning it contains a squared term (x²) as its highest power of the variable.

The sign of the coefficient of the leading coefficient in the quadratic function plays the role of where the curve faces.

The graphs are attached

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Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42

AnswWhen f(x) is divided by x-1 and x+1 the remainder are 5 and 19 respectively.

∴f(1)=5 and f(−1)=19

⇒(1)  

4

−2×(1)  

3

+3×(1)  

2

−a×1+b=5

and (−1)  

4

−2×(−1)  

3

+3×(−1)  

2

−a×(−1)+b=19

⇒1−2+3−a+b=5

and 1+2+3+a+b=19

⇒2−a+b=5 and 6+a+b=19

⇒−a+b=3 and a+b=13

Adding these two equations, we get

(−a+b)+(a+b)=3+13

⇒2b=16⇒b=8

Putting b=8 and −a+b=3, we get

−a+8=3⇒a=−5⇒a=5

Putting the values of a and b in

f(x)=x  

4

−2x  

3

+3x  

2

−5x+8

The remainder when f(x) is divided by (x-2) is equal to f(2).

So, Remainder =f(2)=(2)  

4

−2×(2)  

3

+3×(2)  

2

−5×2+8=16−16+12−10+8=10er:

Step-by-step explanation:

The profit for hundred cell phone is $65000

The cost of a cell phone is $2500

and sold for $3150

The selling price of a cell phone is $3150 and

The cost price of a cell phone is $2500.

To ascertain a commodity's market price and assess a business's profitability, mathematicians utilize the profit and loss formula. The cost price and the selling price of every thing are different. We are able to determine a product's profit or loss based on the values of these prices.

Step-by-step explanation:

Profit = Selling price - Cost price

Profit = $3150 - $2500

Profit = $650

The profit for one cell phone is $650

We have to find the profit for hundred cell phone

                  $650 × 100 = $65000

The profit for hundred cell phone is $65000.

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In English language this question is "A cell phone cost $2,500 and sold for $3,150. How much profit was made for every hundred pesos?".