3x+1=6x-8 what is the answer

Step-by-step explanation:

Since Angle DAB = 90°,

DB is the diameter of the circle.

Therefore m(Arc DA) + m(Arc AB) = 180°.

=> m(Arc AB) = 180° - 47° = 133°.

Answer:

to be fair, this one is tough  :D

Step-by-step explanation:

So,  we need to figure out what 56 * 8.50 is , it's  476, now subtract that from the total sales.   3136-476=2660 ... the 2660 is the amount of sales when the adults and the kids were at the same amount.... sooo use a common variable like X.... and add up the ticket prices of 10.50+8.50 so that you have an eqution of  

x*19.00=2660.00

x=140    people

nice we have the Adults and kids ... each of 140

now just add 140+56=196 kids went to the movies

196 kids

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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Answer:

m=3

Step-by-step explanation:

Answer:42.55

Step-by-step explanation:

Les get the big boi out of the way first. We see that it is 3.5 by 9 and if we multiply we get 31.5. Next left triangle 2 by 2 so four but divided by 2 is 2. God so many  2's. So total is 33.5 so far. Next triangle is 2 by 5 soo  10 divided by 2 is 5. total is 38.5. Last dude in the middle. We know one side is two so we have to subtract here from the triangles which gets u the other side of 2 so 4. Total is 42.5

The Area of the Shape Shown is 42.5 square units.

The area of Rectangle is length times of width.

The area of the rectangle in the given figure is

Area of rectangle=3.5×9

=31.5 square units.

The area of left side triangle is

Area of triangle=1/2×2×2

=2 square units

The area of right side triangle 1/2×5×2

=5 square units

Now the area of square =2²

=4 square units.

Now total area of figure is 31.5+2+5+4 is 42.5 square units.

Hence, the Area of the shape Shown is 42.5 square units.

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The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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Considering the sequences given, the first number that appears in both sequences is given by: 45.

The rule is multiply by 3 starting from 5, hence the numbers are:

(5, 15, 45, 135, ...).

The rule is add 9 starting from 18, hence the numbers are:

(18, 27, 36, 45, ...).

45 is the first number that appeared in both sequences.

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Answer:

f=7/3

Step-by-step explanation:

from the figure it can be deduced that x=3 and

y=7

so: y=f(x) → 7=f(3)

put f to the first member: 7=3f → 3f=7 → f=7/3

(I hope that's right)

Answer:

f(3) = 7

Step-by-step explanation:

locate x = 3 on the x- axis, then go vertically up to meet the line at (3, 7) , so

f(3) = 7

259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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e. Hourly rate = $975.84 / 38 = $25.68

f. Overtime rate = $25.68 * 1.5 = $38.52

g. Earnings (4 hours OT) = $38.52 * 4 = $154.08

h. Overtime hours = ($1226.22 - $975.84) / $38.52 ≈ 6.5 hours

Begin by determining the number of overtime hours worked by evaluating the discrepancy between his weekly salary and his regular wage:

Take note that the difference = $250.38, specifically from a calculation derived by subtracting $975.84 from $1226.22.

Next, divide this incongruity by his rate of pay for working overtime to establish the actual quantity of time augmented:

Upon performing our overall assessment with $38.52 as the hourly short-term remuneration rate towards supplementing regular pay projections, we determine roughly 6.5 additional work hours incrementally added onto one's overall timesheet.

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Answer:

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

Given is the quadratic equation with:

Since a < 0, the graph opens down and the vertex is its maximum point.

The x-coordinate of the vertex is x = - b : 2a:

Find the value of f at x = 3:

Answer:

15 feet

Step-by-step explanation:

Given quadratic function:

\(f(x)=-\dfrac{4}{9}x^2+\dfrac{24}{9}x+11\)

where f(x) is the height (in feet) and x is the horizontal distance (in feet) from the end of the diving board.

The maximum height of the diver is the y-value of the vertex (h, k) of the function.

\(\boxed{h=-\dfrac{b}{2a} \quad \quad k=f(h)}\)

where f(x) = ax² + bx + c

From inspection of the function:

\(a=-\dfrac{4}{9} \quad b=\dfrac{24}{9} \quad c=11\)

Substitute the values of a and b into the formula for h to find the x-value of the vertex:

\(\implies h=-\dfrac{\frac{24}{9}}{2\left(-\frac{4}{9}\right)}\)

\(\implies h=\dfrac{\frac{24}{9}}{\frac{8}{9}}\)

\(\implies h=\dfrac{24}{8}\)

\(\implies h=3\)

Substitute this into the function to find the y-value of the vertex, and therefore the maximum height of the diver:

\(\begin{aligned}\implies k=f(3)&=-\dfrac{4}{9}(3)^2+\dfrac{24}{9}(3)+11\\&=-4+8+11\\&=15 \end{aligned}\)

Therefore, the maximum height of the diver is 15 feet.

Step-by-step explanation:

to find the sum of nth term

equation is

n/2 ( 2a + (n-1)d) where a is the 1st term and d is the common difference

5/2 ( 120 +( 4 × 31))

5/2 ( 120 + 124)

5/2 × 244

5 × 122 dividing 244 by 2

610

Answer: 610

Step-by-step explanation:

This sequence starts at 60 and increases by increments of 31.  Thus, to get the last two numbers, do 122+31=153, and 153+31=184.  Then add 60+91+122+153+184 to get 610.

Hope it helps <3

The area of triangle ABC is 23.5 square units and the perimeter is 20.4174 units.

To find the area and perimeter of the given triangle ABC, we need to apply the following formulas:Formula for Distance between two points:

The distance between two points (x1, y1) and (x2, y2) is given by:

AB = √(x2-x1)²+(y2-y1)²BC = √(x3-x2)²+(y3-y2)²AC = √(x3-x1)²+(y3-y1)²

Formula for Area of Triangle: If we know the length of the three sides of a triangle then,

using Heron's formula, we can calculate the area of the triangle as:

area = √s(s-a)(s-b)(s-c)where a, b, and c are the lengths of the sides of the triangle and s is the semi-perimeter of the triangle, which is given as s = (a+b+c)/2

Formula for Perimeter of Triangle: The perimeter of the triangle is the sum of the lengths of its sides.

That is: perimeter = AB + BC + ACArea of ΔABCAB

= √(1 - (-2))² + (5 - (-4))²AB

= √3²+9² = √90BC

= √(2 - 1)² + (2 - 5)²BC

= √1²+3² = √10AC

= √(2 - (-2))² + (2 - (-4))²AC

= √4²+6²

= √52Semi-Perimeter (s)

= (AB + BC + AC)/2

= (√90 + √10 + √52)/2

= 12.8572Area of ΔABC

= √s(s-a)(s-b)(s-c)

= √12.8572(12.8572-√90)(12.8572-√10)(12.8572-√52)

= 23.5

Perimeter of ΔABC = AB + BC + AC = √90 + √10 + √52 = 20.4174

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Answer:

BD ≅ BD                              Reflexive Property of Congruence

∠ADB ≅ ∠CDB                    Definition of Angle Bisector

I'm taking Geometry this year actually. Hope this helps!

Answer:

The statement is triangle BAD ≅ triangle BCD. The reason is SSS or side-side-side

Step-by-step explanation:

5a+5b

5(6)+5(5)

=30+25

=55

Answer: 30%

Step-by-step explanation: 21/70 = 21 divide 70 = 0.3 = 30%

Answer:

306 miles

Step-by-step explanation:

6 x 51

Answer:

162.5 miles

Step-by-step explanation:

hope this helps :)

Answer:

The distance between these two points with coordinates (-1, -4) and (-9, -8) is 8.94 unites

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

Explanation:

Angle DAB and angle ABC are congruent angles due to the parallel lines (note they are alternate interior angles).

So angle DAB = 47 since angle ABC = 47.

Let angle CAE be equal to x for now.  

The three angles DAB, CAB, and CAE all add up and combine to form a straight angle which is 180 degrees.

We'll use this fact to find x

(angle DAB) + (angle CAB) + (angle CAE) = 180

(47) + (105) + (x) = 180

x + 152 = 180

x + 152-152 = 180-152 .... subtract 152 from both sides

x = 28

angle CAE = 28 degrees

Answer:

d

Step-by-step explanation:

=-4

Which expression is equivalent to -11 - (-7)?

Answer

D. -11 + 7

Answer:

6

Step-by-step explanation:

I Just answered the question on my test

Answer:

the 1st one

Step-by-step explanation:

The graph A satisfy the condition. Then the correct option is A.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The condition for the maximum will be

f(x)'' < 0

The condition for the minimum will be

f(x)'' > 0

The graph has the maximum value at 3 and the minimum value at –9.

In the graph A, the curve start from the minimum of negative 9 and reaches to the maximum value of 3.

Then the graph A satisfy the condition.

Then the correct option is A.

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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The algebraic expression is 0.3G+25F

An algebraic expression is a sentence with a minimum of two numbers or variables and at least one mathematical operation.  

First, we can use G to represent green house flowers and F to represent ferns.

Then thirty percent of the green house flower can be represented by 0.3G.

25 ferns can be written as 25F.

The algebraic expression for the given verbal description is 0.3G+25F.

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Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

angle RQS

Step-by-step explanation:

Answer:

0.525

Step-by-step explanation:

by using two simple numbers just subtract with a regular calculator <3 If I got it wrong very sorry

Answer:

0.828

hope it helps........

Answer:

-29/35

Step-by-step explanation:

i hope this helps

Solving a system of equations we can see that each pound of trail mix costs $3.50, and each pound of jelly beans costs $1.50

Let's define the variables:

Then we can write a system of equations so we will get:

5x + 3y = 22

2x + 12y = 25

To solve this, we can subtract 4 times the first equation fom the second one:

2x + 12y - 4(5x + 3y) = 25 - 4*22

2x + 12y - 20x - 12y = -63

-18x = -63

x = -63/-18

x = 3.5

That is the cost of each pound of trail mix, and replacing that in one of the equations:

2*3.5 + 12y = 25

y = (25 - 2*3.5)/12

y = 1.5

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