Luigi is an urban planner. As an independent contractor, he charges $140 fee plus $25 per hour for each contract with the city. Write an equation that represents this scenario where y represents the total amount he charges for a project and x represents the number of hours worked on a project.
A. x = 25y + 140
B. x = 140y + 25
C. y = 140x + 25
D. y = 25x + 140

Answer:

[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]

Step-by-step explanation:

[tex]-> 0=2x^2-2x-15[/tex]

-zeros means the solution aka x intercept, meaning y=0

[tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:2\left(-15\right)}}{2\cdot \:2}[/tex]

=> according to quadratic formula

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

where [tex]ax^2+bx+c=0[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{31}}{2\cdot \:2}[/tex]

simplify

[tex]x_1=\frac{-\left(-2\right)+2\sqrt{31}}{2\cdot \:2},\:x_2=\frac{-\left(-2\right)-2\sqrt{31}}{2\cdot \:2}[/tex]

[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]

Cannot simplify farther

Answer:

wha- I have no idea what your saying

Answer:

cxa=t cause you are mulltipling to find the total cost

Answer:

Step-by-step explanation:

A child´s ticket costs $4 and adults ticket costs $8. If we want one of each we need to add both numbers together, 4 plus 8 equals 12. The total cost of a child ticket and an adult ticket is $12.

The questions asked to write an equation; the equation would be:

C+A=T  it could also be written as A+C=T,  T=A+C or T=C+A.

Answer:

Multiply by -2

Step-by-step explanation:

Additive inverse essentially means the counterpart that negates a number. Then, elimination can be used. In this case, the easiest change would be with the terms -4y in the first equation, and -2y in the second equation, since 2 is a factor of 4. So,

3x - 4y = -5

5x - 2y = -6

The goal here is to cancel out the -4y.

(5x - 2y)(-2) = (-6)(-2)

-10 + 4y = 12

3x - 4y = -5

Now it works.

Answer:

1/3

Step-by-step explanation:

since number 2 card was not replaced, we have;

probability of picking a second card, 3;

let S be number of sample space

n(S)= 4

n(3)= 1

Pr(3/2)= 1/3

(because since one was already chosen and n, the sample space would reduce)

Answer:

A. $47,403.20

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this, the question is about Simple Interest, so the formula is PRT

p- principal (the amount of money you started with)

r- (rate, also the percentage)

t- time (the amount of time it says, in years or so)

So, they had $45,580

Multiply that by 4%, and 4% is 0.04 so multiply 0.04 x 45,580 = 1,823.20. So, the answer is D

Hope this helps!!

-Ketifa

Answer: 5

Step-by-step explanation:

Given

The length of a side is [tex]x+3\ cm[/tex]

The height of a triangle is [tex]2x-5\ cm[/tex]

Area of triangle is [tex]20\ cm^2[/tex]

Area of triangle is given by

[tex]\Rightarrow A=\dfrac{1}{2}\times \text{base}\times \text{height}[/tex]

[tex]\Rightarrow A=\dfrac{1}{2}\times (x+3)\times (2x-5)\\\\\Rightarrow 40=(x+3)\times (2x-5)\\\Rightarrow 2x^2+x-55=0\\\\\Rightarrow x=\dfrac{-1\pm \sqrt{1^2-4(2)(-55)}}{2(2)}\\\\\Rightarrow x=\dfrac{-1\pm 21}{4}\\\\\Rightarrow x=-5.5,5[/tex]

Neglecting negative value

Therefore, the value of x is 5.

Answer:

17.8

Step-by-step explanation:

We can find this because we know that to make a cube, we need to do [tex]c*c*c[/tex] or [tex]c^3[/tex]. With this, we can simplify our equation (by taking the root of both sides) to [tex]c=\sqrt[3]{5639.752}[/tex] or 17.8.

Answer:

356.93sq. cm

Step-by-step explanation:

Area of the composite figure = Area of rectangle + Area of semicircle

Area of rectangle = length * wiidth

Area of rectangle =  14cm * 20cm

Area of rectangle = 280 sq. cm

Area of semicircle = πr²/2

Area of semicircle = 3.14(7²)/2

Area of semicircle  = 3.14 * 49/2

Area of semicircle  = 76.93 sq. cm

Hence the area of the figure = 280 + 76.93

Hence the area of the figure = 356.93sq. cm

Answer:

D. 3/36, or 1/12

Step-by-step explanation:

The probability of rolling a sum equal to 10 on two six-sided number cubes is 3/36.

This is because of the 36 total outcomes, only 3 have a sum of 10.

In other words, the probability of rolling a sum equal to 10 is 3 in 36, or 3 out of 36 (3/36).

Answer:

Volume = 2,143.57 mm³

Step-by-step explanation:

Given:

radius (r) = 8 mm

π = 3.14

Required:

Volume of the sphere

Solution:

Volume of the sphere = ⁴/3πr³

Plug in the values

Volume = ⁴/3 × 3.14 × 8³

= ⁴/3 × 3.14 × 512

= 6,430.72/3

Volume = 2,143.57333

Volume = 2,143.57 mm³ (nearest hundredth)

Answer: x = 3

Step-by-step explanation:

-10x - 2y = -30

3x + 2y =9

use elimination method...

-2y and 2y = 0

-10x = - 30

3x = 9

add together...

-7x = -21

solve...

x= 3

Answer:

y=6x-38

Step-by-step explanation:

That's the answer for C

Answer:

p = 5/12

Step-by-step explanation:

-14+6p = -9-6p

Add 6p to each side

-14+6p+6p = -9-6p+6p

-14 +12p = -9

Add 14 to each side

-14+12p = -9 +14

12p =5

Divide by 12

12p/12 = 5/12

p =5/12

Answer:

d = 162

a = 18

e = 144

g = 78

b = 18

s = 162

h = 84

e = 81

Step-by-step explanation:

Trust

Answer: 37, [tex]\frac{x+2}{7}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]

now,

[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]

for x=2

[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]

Inverse of [tex]f(x)[/tex] is given by

[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]

Answer:

23

Step-by-step explanation:

4

Answer:

If it is a cube then its height and base are equal which is the cube root of 3,375 or 15

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

median = 16

lower quartile = 12

upper quartile = 18

Answer:

plug in -1 for x and 2 for y

solve equation

Step-by-step explanation:

y= 3x+5

2= 3(-1) + 5

2= -3 + 5

2= 2

Step-by-step explanation:

hope it is helpful to you

Answer:

Step-by-step explanation:

[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]

Answer:

To find the area, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

Step-by-step explanation:

hope it helps

please mark brainliest

Answer: I got 200

Step-by-step explanation: 14+14+5+5=38*2=76 Thats the front and back and then The sides are 6+6+5+5=22*2=44 then the top and bottom are 14 +14+6+6=40*2=80 then add that all up and 44+80+76=200 (Sorry if its a bit confusing to understand)

Answer:

D

Step-by-step explanation:

Answer:

I can't see it bc it's not close enough but since it's (2,5) D should be right. If it's not right, then sorry ;-;

Answer:

i think its like:

see that middle angle there, thats a 90° angle and straight linea measure 180°. so add 90 + 21 and subtract from 180

Answer:

height of cone is 1.5 2 feet

hope it helps.

Answer:

a

Step-by-step explanation: