x= -1/5; f(x) = (25/2)x + (-91/2) =

Answer:

$80

Step-by-step explanation:

DJ Dan's hourly rate will be $80.

Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.

Assume that the hourly rate is $[x]. Than, we can write -

3.5x + 125 = 405

3.5x = 405 - 125

3.5x = 280

x = (280/3.5)

x = 80

Therefore, DJ Dan's hourly rate will be $80.

To solve more questions on equations, expressions and polynomials, visit the link below -

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Answer:

X=8

Step-by-step explanation:

Move numbers to the right

[tex] \sqrt{2x} = 14 - 10 \\ \sqrt{2x} = 4 \\ 2x = 4 {}^{2} \\ 2x = 16 \\ x = 16 \div 2 \\ x = 8[/tex]

The value of x is 8.

Given that,

Equation; [tex]\rm 6+\sqrt{2x} +4 = 14\\[/tex]

We have to determine,

The value of x.

According to the question,

To determine the value of x following all the steps given below.

Equation; [tex]\rm 6+\sqrt{2x} +4 = 14\\[/tex]

                   [tex]\rm 6+\sqrt{2x} +4 = 14\\\\ 10 +\sqrt{2x} = 14\\[/tex]

        [tex]\rm 10+\sqrt{2x} = 14\\\\ \sqrt{2x} = 14-10\\\\ \sqrt{2x} = 4\\[/tex]

                   [tex]\rm \sqrt{2x} = 4\\\\Squaring \ on \ both \ the \ sides\\\\2x = 16\\\\x = \dfrac{16}{2}\\\\x = 8[/tex]

Hence, The required value of x is 8.

For more details refer to the link given below.

https://brainly.com/question/16136037

Hey there!

The answer to your question is $240.87

First we need to find how much he earned:

9.75 x 30

292.50

Now, we find the amount of all the deductions:

292.50(0.1 + 0.062 + 0.0145)

51.63

Now, we take this off the total pay:

292.50 - 51.63

240.87

The amount of pay after deductions was 240.87

Hope it helps and have an amazing day!

Answer:

$243.34425 round it up to the nearest 100th place

Step-by-step explanation:

9.75*30

=$295.5

=$295.5*10/100

for Federal income tax is $29.55

$295.5*6.2/100

Social Security tax $18.321 round it up $18/32

$295.5*1.45/100

Medicare tax is $4.28475 round it up to the nearest 100ths place $4.28

add all of them

$29.55+$18.321+4.28475= $52.15575 round it up = $52.16

sutract the amount you got paid

$295.5-$52.16=$243.34425

or you could have done

add all the %

10+6.2+1.45=17.65*295.5/100

=52.15575

hope it helped

Answer:

Step-by-step explanation:

the slope would be y2-y1/x2-x1

so the distance is y and the time is x so what you are going to do is 30-18 over 5-3 which then means it would be 12/2 which equals 6

Answer: x= 16

Step-by-step explanation:

Solve for x

√(5x + 1) − √x = 5

Add √x to both sides of the equation.

√(5x + 1)^2 = 5( + √x )^2

To remove the radical on the left side of the equation, square both sides of the equation.

√5x + 12 = (5 + √x)^2

Simplify each side of the equation.

5x + 1 = 25 + 10√x + x

Solve for 10√x.

10√x  = 4x − 24

To remove the radical on the left side of the equation, square both sides of the equation.

(10√x)^2 = (4x − 24)^2

Simplify each side of the equation.

100x  = 16x^2 − 192x + 576

Solve for x.

x = 9/4 , 16  

x = 16

Answer:

(x-3)(x-5)

Step-by-step explanation:

Answer:

x = 3 or x= 5

Step-by-step explanation:

Δ = (-8)² - 4×15

   = 64- 60

   =4

and 4≥0

so x = (8 - √4 )÷2 = 3

or  x= (8 + √4 )÷2 = 5

so P(x) = (x-3) (x-5)

Answer:

Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

First we will solve terms inside the bracket

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]

Replacing the term:

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]

Now, combine like terms

[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]

Now, multiply all terms with 2

[tex]42x-100y-360[/tex]

So, Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Answer:

x= -5

Step-by-step explanation:

if youre looking for the x this is the answer.

Answer:

the answer is 62!

Step-by-step explanation:

multiply

Answer:

$248

Step-by-step explanation:

310/100=3.1

3.1x20=62

310-62=248$

Answer:

The answer is 288 minutes

Answer:

I'm guessing A, but am not sure, as for any number can go there if it's over 9!

Answer:

x = 37

Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.

Answer:

124.1 m

Step-by-step explanation:

Given that:

Depth of mammoth cave = - 124.1 meters

To travel to the bottom of the cave, hence, the hiker is at the maximum depth.

Since the depth of the cave is - 124.1 m and the hiker has traveled down tonthe bottom and hence covered the total depth. Then thebhiker must have descended by the same value corresponding to the depthnifnthe cave = 124.1 meters

Given:

In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.

To find:

(a) The length of ED.

(b) The length of BE.

Solution:

In triangle ABE and ACD,

BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.

[tex]m\angle ABE=m\angle ACD[/tex]          (Corresponding angles)

[tex]m\angle BAE=m\angle CAD[/tex]          (Common angle)

Now,

[tex]\Delta ABE\sim \Delta ACD[/tex]

Corresponding sides of similar triangles are proportional.

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]

(a)

[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]

[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]

[tex]0.8=\dfrac{26}{AD}[/tex]

Isolate AD.

[tex]0.8AD=26[/tex]

[tex]AD=\dfrac{26}{0.8}[/tex]

[tex]AD=32.5[/tex]

Now,

[tex]AD=AE+ED[/tex]

[tex]32.5=26+ED[/tex]

[tex]32.5-26=ED[/tex]

[tex]6.5=ED[/tex]

Therefore, the length of ED is 6.5.

(b)

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]

[tex]0.8=\dfrac{BE}{18}[/tex]

Multiply both sides by 18.

[tex]14.4=BE[/tex]

Therefore, the length of BE is 14.4.

Answer:

The answer is "Option C".

Step-by-step explanation:

Please find the correct question in the attached file.

[tex]\to 1 \frac{2}{5} = \frac{7}{5} \\\\let \\ \to \frac{7}{5} =1.4\\\\\to \frac{2}{5}= 0.4\\\\\to 1.4- 0.4\\\\ \to 1\\[/tex]

Its outcome is 1.4 if we subtract from 0.4. However, a fraction of less than 2/5 may be deducted. This means that the outcome still exceeds 1, that's why choice C is correct.

Answer: 2261.9 ft

Step-by-step explanation: One trip around is one circumference of a circle. The circumference is 2πr. That's 2(π)(90 ft) = 565.4867 ft. Multiply by 4 trips around for a total distance of 2261.9 ft If you care about significant figures, then you only have report  sig fig, so that's 2000 ft.

The total distance traveled by the seated person is 2260.8 feet.

Given that the distance from the center of the wheel to the seat is 90 feet. The seated person travels for 4 revolutions.

The distance traveled by the seated person in one revolution will be equal to the circumference of the wheel has a radius of r. Hence the circumference of the wheel is given below.

One revolution = [tex]2\pi r[/tex]

One revolution = [tex]2 \times 3.14\times 90[/tex]

One revolution = 565.2 feet

Hence the distance covered in four revolutions can be calculated as below.

Total Distance = [tex]4 \times 565.2[/tex]

Total Distance = 2260.8 feet

Hence we can conclude that the total distance traveled by the seated person is 2260.8 feet.

To know more about the distance, follow the link given below.

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Answer:

3x+16 >= 25 (Greater than or equal to) Solved: x>= 3

Step-by-step explanation:

I dont know how to put the line under the > sign so >= means greather than or equal to

Answer:

610.9 km

Step-by-step explanation:

For the plane that is flying at 520km/h:

520km/h * 45minutes * 1h/60minutes = 390 km

For the plane that is flying at 480km/h:

480km/h * 45minutes * 1h/60minutes= 360 km

This is a SAS triangle which means Side angle Side

the formula for this is: a^2 = b^2 + c^2 − 2bc cosA

for this problem it should be:

a^2= (390^2) +(360^2) - 2(390*360)*cos(115)

a should be approximately 610.9 km

Answer: 5 units

Step-by-step explanation:

The shape presented is a triangle and the distance between Link and Ganon is the hypothenuse of that triangle.

This can be calculate using the Pythagoras rule:

c² = a² + b²

c is the hypothenuse.

a in the triangle = base = 4 units

b = height = 3 units

c² = 4² + 3²

c² = 16 + 9

c² = 25

c = √25

c = 5 units

Answer:

wait i'm tho lol

Step-by-step explanation:

Answer:

Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is: = $2,238

Step-by-step explanation:

Step One:

To arrive at the total amount made from the sheet cakes, we have to assign the prices of each type of cake. They are:

Step Two:

If the new pastry sold 17 small, 11 medium and 20 large sheet cakes respectively, the total money made comes to the following:

= (36 x 17) + (11 x 46) + (56 x 20)

= 612 +  506 + 1120

Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is:

= $2,238

Cheers!

Answer:

a) 4/15

b) 900 bolígrafos azules

750 bolígrafos negros

600 bolígrafos rojos

Step-by-step explanation:

Una fábrica de bolígrafos fabrica sus propios productos en tres colores diferentes. 2/5 de su fabricación son bolígrafos azules, 1/3 son bolígrafos negros y el resto son bolígrafos rojos.

a) ¿Qué fracción de bolígrafos son bolígrafos rojos?

Deje que el número total de bolígrafos se represente como 1

La fracción de bolígrafos rojos =

1 - (Fracción de bolígrafos azules + Fracción de bolígrafos negros)

= 1 - (2/5 + 1/3)

El mínimo común denominador es 15

= 1 - (6 + 5/15)

= 1 - 15/11

= 4/15

Por lo tanto, la fracción de bolígrafos rojos = 4/15

b) Si se han fabricado un total de 2250 bolígrafos en un día, ¿cuántos se han fabricado de cada color?

Para bolígrafos azules

2/5 de su fabricación son bolígrafos azules,

= 2/5 × 2250 bolígrafos

= 900 bolígrafos azules

Para bolígrafos negros

1/3 son bolígrafos negros

= 1/3 × 2250 bolígrafos

= 750 bolígrafos negros

Para bolígrafos rojos

4/15 son bolígrafos rojos

= 4/15 × 2250 bolígrafos

= 600 bolígrafos rojos

Answer:

Multiple answers (image of work & answers below)

Step-by-step explanation:

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

Answer:

1) Domain = -3 ≤ x ≤ 2

Range = -4 ≤ y ≤ 5

Function? No

Step-by-step explanation:

From the given graph, we have;

The domain of the dot plot = -3 ≤ x ≤ 2

The range of the dot plot = -4 ≤ y ≤ 5

From the given data plot, we have that a straight line joining the data points is in the form of an arrow head with one value of the input (independent) variable, 'x', giving two values of the output (dependent) variable, 'y', such as the input, x = 1, gives two output, y = -2, and y = 3

Therefore, the relation is not a function as one input value produces two output values.

Answer:

its c and no im not scaming L o l

Step-by-step explanation: