need help turning this improper fraction into mixed number, it's super easy.

Let's go:

6x + 7 + 12x - 3 = 112

18x + 4 = 112

18x = 112 - 4

18x = 108

x = 6

mADB = 6.6 + 7 = 43°

I hope I helped you.

Answer:

43°

Step-by-step explanation:

Since we know that ∠ADC, which is the sum of ∠ADB and ∠BDC, is 112, we can solve for x:

112 = 6x + 7 + 12x - 3

112 = 18x +4

112 - 4 = 18x → 108 = 18x

108/18 = x → 6 = x.

Now, we can substitute 6 for x in the equation for ∠ADB to get the answer:

6(6) + 7 ⇒ 36 + 7 ⇒ 43°.

Hope this helps! Have a nice day!

Answer:

750 liters are lost.

Step-by-step explanation:

This question can be solved with multiplication.

Its important that when multiplying scientific forms of number together, always remember to add the exponents. -5+4=-1

-25 x -30= 750

750 liters are lost in a month.

Hope this helps!

Answer:

The answer should be 7.5*10 ^1 and that equalls 75

Step-by-step explanation:

Answer:

128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds

Step-by-step explanation:

The average rate of change is another way to say slope.

slope = (y2-y1)/(x2-x1)

      = (576-64)/(6-2)

      = (512/4)

     =128 ft/s

This represents the change in ft per second, or the  average speed the object is going during the time period.

Answer:

it's A

Step-by-step explanation:

Answer it's more singler to the right angle then the left angle ×{3*25+16=}

Step-by-step explanation:

The height of the cylinder is 20 meters.

Given,

The formula for the volume of a cylinder is V=πr²h.

The cylinder to the right has an exact value of 180π cubic meters.

Its radius is given as 3 meters in the figure.

We need to find its height.

It is given by:

V = π r² h

Find the volume of the cylinder.

V = π r² h

We have,

V = 180π cubic meters

180π cubic meters = πr²h

Find the height of the cylinder.

We have,

180π cubic meters = πr²h

Divide both sides by π

180 cubic meters = r²h

We have,

r = 3 m

180 cubic meters = 3² square meters x h

180 cubic meters =  9 square meters x h

Divide both sides by 9.

20 meter = h

h = 20 meters

Thus the height of the cylinder is 20 meters.

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Answer:

The ball will roll upto 1 m.

Step-by-step explanation:

A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.

As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.

According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.

Here given kinetic energy as 10 J, so this energy will get converted to potential energy.

We know that, potential energy is

[tex]P.E=m\cdot g\cdot h[/tex]

where,

m is the mass, g is the acceleration due to gravity and h is the height.

Putting the values,

[tex]\Rightarrow 10=1\times 10\times h[/tex]

[tex]\Rightarrow 10=10 h[/tex]

[tex]\Rightarrow h=1\ m[/tex]

Answer:

A) 2 * Length + 2 * Width = 276

B) L = 5W  then multiplying equation B) by -2 we get

-2L +10W = 0 then we add this to A)

A) 2L + 2W = 276 and get

12W = 276

Width = 23

Length = 115

Step-by-step explanation:

If you mean 4 x |3| =12

If it's 4 = 3x => 0.75

I'm sorry if I didn't help, I don't understand what you mean with " ! "

Answer is 144

4! = 4*3*2*1 = 24

3! = 3*2*1 = 6

6*24 = 144

Answer:

Option  B is correct.

[tex]\frac{81m^2n^5}{8}[/tex] is equivalent to [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Step-by-step explanation:

Given expression: [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Using exponents power:

Given: [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Apply exponent power :

⇒ [tex]\frac{3^4 (m^{-1})^4(n^2)^4}{2^3(m^{-2})^3 n^3}[/tex]

⇒ [tex]\frac{81 m^{-4}n^8}{8m^{-6}n^3} = \frac{81 m^{-4} \cdot m^6 n^8 \cdot n^{-3}}{8}[/tex]

⇒[tex]\frac{81 m^{-4+6} n^{8-3}}{8} = \frac{81 m^2 n^5}{8} = \frac{81m^2 n^5}{8}[/tex]

Therefore, the expression which is equivalent to  [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex] is,  [tex]\frac{81m^2 n^5}{8}[/tex]

Answer:

Correct choice is B

Step-by-step explanation:

Consider expression

[tex]\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}.[/tex]

1. Simplify numerator:

[tex](3m^{-1}n^2)^4=3^4\cdot (m^{-1})^4\cdot (n^2)^4=81m^{-4}n^8.[/tex]

2. Simplify denominator:

[tex](2m^{-2}n)^3=2^3\cdot (m^{-2})^3\cdot n^3=8m^{-6}n^3.[/tex]

Then,

[tex]\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}=\dfrac{81}{8}m^{-4-(-6)}n^{8-3}=\dfrac{81}{8}m^2n^5.[/tex]

Answer:i fffffffffffffffffffffoooooooooooooooooooooorrrrrrrrrrrrrrrrrrggggggggggggggggggggggooooooooooooooooooottttttttttttttttttttttttttt

Step-by-step explanation:

Answer:i believe thats only a third of a mile

Step-by-step explanation:

if you have the both take on the same denominator the 3 miles would be 3/3 and then it would be 6/6 and the 1/3 mile would become 2/6 hope i helped

Answer: yes its 1/3 of a mile

Step-by-step explanation:

Answer:

4.36

Step-by-step explanation:

The given expression is

[tex]\sqrt{4.98+2.18\times 7.31}[/tex]

We need to estimate the value of given expression.

First approximate each term of the given expression.

First term : [tex]4.92\approx 5[/tex]

Second term : [tex]2.18\approx 2[/tex]

Third term : [tex]7.31\approx 7[/tex]

The value of given expression after approximation is

[tex]\sqrt{5+2\times 7}[/tex]

[tex]\sqrt{5+14}[/tex]

[tex]\sqrt{19}[/tex]

The approximate value of [tex]\sqrt{19}[/tex] is 4.36.

Therefore, the estimated value of given expression is 4.36.

The estimated square root of 4.92 + 2.18 x 7.31 is between 4 and 5.

To estimate the square root of 4.92 + 2.18 x 7.31, we first calculate the value inside the square root:

4.92 + 2.18 x 7.31 = 4.92 + 15.8678 = 20.7878

Next, we estimate the square root of 20.7878:

Since the square root of 16 is 4, and the square root of 25 is 5, we can estimate that the square root of 20.7878 is between 4 and 5.

Therefore, the estimated square root of 4.92 + 2.18 x 7.31 is between 4 and 5.

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Answer:

≈ 376.99 pulgadas

Step-by-step explanation:

El volumen de un cono con una altura de 10 pulgadas y un radio de 6 pulgadas es de aproximadamente 376.99 pulgadas en cubos.

La fórmula para el volumen de un cono es π (r ^ 2) (h / 3). Puedes sustituir r con 6 yh con 10 para obtener El volumen de un cono con una altura de 10 pulgadas y un radio de 6 pulgadas es de aproximadamente 376.99 pulgadas en cubos.

La fórmula para el volumen de un cono es π (r ^ 2) (h / 3). Puedes sustituir r con 6 yh con 10 para obtener  aproximadamente 376.99

Answer:

y = 3x is in slope intercept form.

Step-by-step explanation:

The slope intercept form of an equation is y =mx+b where m is the slope and b is the y intercept.

y =3x  can be written as

y = 3x+0

where 3 is the slope and has a y intercept of 0

y = 3x is in slope intercept form.

Answer$15.60

Step-by-step explanation:

First you would go 32,448 divided by 52. That would give you how much you make in one week. Then you do 624 divided by 40. This would give you Job A's hourly wage ($15.60). I hope this helps.

Answer:

The rate of cases is [tex]\frac{40}{19}[/tex] per hour

Step-by-step explanation:

we are given

Total number of cases =5

total time is

[tex]=2\frac{3}{8}[/tex] hour

we can simplify it

total time is

[tex]=\frac{2\times 8+3}{8}[/tex] hour

[tex]=\frac{19}{8}[/tex] hour

we can use formula

rate of cases = ( total number of cases)/( total time)

now, we can plug values

Rate of cases is

[tex]=\frac{5}{\frac{19}{8} }[/tex]

[tex]=\frac{40}{19}[/tex]

Answer: -Jerry hears  [tex]2\frac{2}{19}[/tex] per hour.

Step-by-step explanation:

Since time is given in mixed fraction [tex]2\frac{3}{8}[/tex] , thus first convert it into improper fraction

Time=[tex]\frac{19}{8}[/tex] hours

The total number of cases Jerry hears in  =5 cases

⇒The number of cases Jerry hears in 1 hour

[tex]=\frac{5}{\frac{19}{8}}\\\\=\frac{5\times8}{19}\\\\=\frac{40}{19}=2\frac{2}{19}[/tex] cases per hour.

Thus, Jerry hears [tex]2\frac{2}{19}[/tex] cases per hour .

Answer:

(-1, -1)

Step-by-step explanation:

Rotating the point (-1, -1) about the origin at -90° will be a 90 degree clockwise rotation.  This will map switch the x- and y-coordinates and negate the x-coordinate:

(x, y)→(y, -x)

(-1, -1) → (-1, 1)

Following this with a 90 degree counter-clockwise rotation will map

(x, y)→(-y, x)

(-1, 1)→(-1, -1)

This is the same point we started with.  Thinking about this logically, if we rotate something 90 degrees clockwise and then follow that with a 90 degree counter-clockwise rotation will put the object back in its original position.

Answer:

The correct option is 3.

Step-by-step explanation:

The coordinates of point P are (4,3).

We have to find the value of

[tex]R_{p,90}\circ R_{o,-90}:(-1,-1)[/tex]

The operations area operated from right to left it means first we have to apply

[tex]R_{o,-90}[/tex], then [tex]R_{p,90}[/tex].

[tex]R_{o,-90}[/tex] means rotation 90 degree clockwise about the origin, it is defined as

[tex](x,y)\rightarrrow (y,-x)[/tex]

[tex](-1,-1)=(-1,1)[/tex]

[tex]R_{p,90}[/tex] means rotation 90 degree counter clockwise about the the point P, it is defined as

[tex](x,y)\rightarrrow (-(y-3)+4,(x-4)+3)[/tex]

[tex](x,y)\rightarrrow (-y+7,x-1)[/tex]

[tex](-1,1)\rightarrrow (-1+7,-1-1)[/tex]

[tex](-1,1)\rightarrrow (6,-2)[/tex]

Therefore the coordinates of image are (6,-2). Option 3 is correct.

Answer:

8x + 10y = $830

Step-by-step explanation:

8x + 10y = total revenue

if the total revenue is 830 then you can equate the above formula to 830 to give

8x + 10y = $830

Answer:

The required equation is [tex]8x+10y = 830[/tex].

Step-by-step explanation:

Consider the provided information.

As it is given that variable x represents the number of cars that paid to park and variable y represents the number of trucks that paid to park.

The cost of parking a car is $8 per day, the expression to represent the cost of parking x cars per day is 8x.

The cost of parking a truck $10 per day, the expression to represent the cost of parking y trucks per day is 10y.

The total revenue for the day was $830.

Thus, the equation represent the number of cars and trucks that paid to park that day is:

[tex]8x+10y = 830[/tex]

Hence, the required equation is [tex]8x+10y = 830[/tex].

Answer:

x=18

Step-by-step explanation:

6 - x = -12

 +x    +x

6=-12 + x

+12+12

18=x

this is the workk and the answer :}

Answer:

x =18

Step-by-step explanation:

6 - x = -12

Subtract 6 from each side

6-6 - x = -12-6

-x =-18

Multiply by -1

-1*-x = -1 * -18

x = 18

The vertex form of the quadratic function:

[tex]f(x)=a(x-h)^2+k[/tex]

(h, k) - vertex

We have

[tex]y=2(x-3)^2+4[/tex]

h = 3, k = 4

Therefore your answer is:

The vertex of the parabola given by the equation [tex]y = 2(x - 3)^2 + 4[/tex] is at the point (3, 4), which corresponds to answer option C.

The question is asking to identify the vertex of the parabola given by the equation y = 2(x − 3)^2 + 4. In this form, the equation is in vertex form of a parabola, which is [tex]y = a(x - h)^2 + k[/tex], where (h, k) is the vertex of the parabola. Comparing the given equation to the vertex form, we can see that h = 3 and k = 4, hence, the vertex of the parabola is at the point (3, 4). Therefore, the correct answer is C (3, 4).

To demonstrate that the measure of angle KNQ is equal to the measure of angle MNS, one should use geometric principles to show congruency or similarity between the angles, which could involve establishing congruent triangles or proportional relationships.

To prove that the measure of angle KNQ is equal to the measure of angle MNS, one would need to establish a relationship between the two angles based on geometric principles or congruent triangles. This could involve demonstrating that the angles are corresponding angles of similar triangles, alternate interior angles of a transversal crossing parallel lines, or possibly vertical angles resulting from intersecting lines. Given the information provided, it seems that if one could show that triangles KNQ and MNS are congruent, then by the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) theorem, it would follow that the angles in question are equal.

Applying trigonometry in proving congruency or similarity might be necessary, especially if an equivalence can be drawn from given proportional relationships or if one can establish that angles are congruent through right triangles and the definition of trigonometric ratios.

Answer:

Option C : ASA

Step-by-step explanation:

Side WS Lies between ∠W and ∠S

Side NT lies between ∠N and ∠T

Hence the theorem which supports the congruency  of the two triangles

is ASA

Angle - Side - Angle

Answer:

27 yards

Step-by-step explanation:

multiply 4*6 3/4

Answer:

104 = B

Step-by-step explanation:

A quick way to do this is to use this formula

Since this is an estimate, you are only guided to whether your answer is correct or not. Here's the actual formula

Answer:

because 3x6=18 so it will be the same problem

Step-by-step explanation:

Answer: There are 12 pink roses and 7 yellow roses.

Step-by-step explanation:

Since we have given that

Total number of members = 19

Let the number of pink roses be x

Let the number of yellow roses be 19-x

Cost of pink roses be $3

Cost of yellow roses be $2

Total amount spend to buy = $50

According to question,

[tex]3x+(19-x)2=\$50\\\\3x+38-2x=\$50\\\\x+38=\50\\\\x=\$50-\$38\\\\x=\$12[/tex]

Hence, Number of pink roses be 12

and number of yellow roses be

[tex]19-12=7[/tex]

Hence, there are 12 pink roses and 7 yellow roses.

To solve the problem, we set up two equations representing the number of team members and the total cost of roses, respectively. By solving these equations, we find that we should buy 8 pink roses and 11 yellow roses.

This problem is a type of algebraic word problem. We need to find out the number of pink roses and yellow roses to purchase with the total amounts of $50. Here's how we can solve this: Assuming that 'p' stands for pink roses and 'y' stands for yellow roses. We have two equations based on the problem:

By resolving these system of equations, the solution yields that you should buy 8 pink roses and 11 yellow roses.

Answer:

The x intercept = -9

The y intercept = -12

Step-by-step explanation:

To find the x intercept, set y = 0 and solve for x

-4x - 3y = 36

-4x -0 = 36

Divide by -4

-4x/-4 = 36/-4

x = -9

The x intercept = -9

To find the y intercept, set x = 0 and solve for y

-4x - 3y = 36

0 -3y = 36

Divide by -3

-3y/-3 = 36/-3

x = -12

The y intercept = -12

Answer:

x = -9

y = -12

Step-by-step explanation: Substitute 0 for x & y to get your points.

-4x - 3y = 36

-4(0) - 3y = 36

0 - 3y = 36

-3y = 36

-3y    -3y

y = -12

-4x - 3y = 36

-4x - 3(0) = 36

-4x - 0 = 36

-4x = 36

-4       -4

x = -9

Hope this helps you!!! :)

Answer:

She can use rotation and overlap the two triangles, and if they overlap perfectly/identically, that means they are surely congruent.

Rebecca can prove triangle congruence by applying the rotation property. If she can rotate one triangle to align with the other, maintaining the same shape and size, then the triangles are congruent. Additionally, she can compare corresponding angles and sides to confirm congruence.

Rebecca can use rotations to prove triangle congruence by performing a sequence of rotations, translations, and reflections on one triangle to align it with the other. If she can manipulate one triangle to superimpose it exactly onto the other triangle without changing its shape or size, then they are congruent. She can also use the properties of triangle congruence, such as side-angle-side (SAS), angle-side-angle (ASA), side-side-side (SSS), or angle-angle-side (AAS), to verify their congruence. By demonstrating that the corresponding sides and angles of the two triangles are congruent based on these properties, she can conclusively prove their congruence. This approach ensures that both triangles share identical measurements and configurations, providing geometric evidence for their congruence.

Answer:

34

Step-by-step explanation:

5x+2(3+x)

The first step is to distribute the 2

5x+2*3 + 2x

5x+6+2x

Combine like terms

7x+6

Now substitute x=4

7*4+6

28+6

34