Alex calculates that he has a minimum household budget of 55,600. if he works 200 hours in one month, what is the minimum hourly rate Alex needs to be paid?

Answer:

1)[tex]x^2+x-12=0[/tex]

2)[tex]x^2+8x-20=0[/tex]

3)[tex]x^2+0.9x-0.36=0[/tex]

4)[tex]2x^2-6x-36=0[/tex]

5)[tex]x^2-5x-84=0[/tex]

Step-by-step explanation:

1) The length of a wooden frame is 1 foot  longer than its width and its area is equal  to 12 sq. ft.

Let the width be x

We are given that length of a wooden frame is 1 foot  longer than its width

So, Length = x+1

Area of rectangular frame =[tex]Length \times Breadth = x(x+1)[/tex]

ATQ

x(x+1)=12

[tex]x^2+x-12=0[/tex]

2)The length of the floor is 8 m longer than  its width and there is 20 square meters.

Let the width be x

We are given that length of the floor is 8 m longer than  its width

So, Length = x+8

Area of floor= [tex]Length \times Breadth = x(x+8)[/tex]

ATQ

x(x+8)=20

[tex]x^2+8x-20=0[/tex]

3)The length of a plywood is 0.9 m more  than its width and its area is 0.36 m2.

Let the width be x

We are given that length of a plywood is 0.9 m more  than its width

So, Length = x+0.9

Area of plywood=[tex]Length \times Breadth = x(x+0.9)[/tex]

ATQ

x(x+0.9)=0.36

[tex]x^2+0.9x-0.36=0[/tex]

4)The area of rectangle whose length is six  less than twice its width is thirty-six

Let the width be x

We are given that length is six  less than twice its width

So, Length = 2x-6

Area of rectangle = Length \times Breadth = x(2x-6)

ATQ

x(2x-6)=36

[tex]2x^2-6x-36=0[/tex]

5)The width of a rectangular plot is 5 m  less than its length and its area is 84 m2.

Let the length be x

Width = x-5

Area =[tex]Length \times Breadth = x(x-5)[/tex]

ATQ

x(x-5)=84

[tex]x^2-5x-84=0[/tex]

Answer:

At a bus stop, 8 people got off the bus and 10 people go on. This means that the number of passengers increased by 2.

Step-by-step explanation:

The first one would e -8-10=-18

Second one would just be wrong. Each goldfish would be 5/4 of a dollar, so it cannot be possibly represented by the equation.

It would just be 8x=10

The last one is correct because it accurately depicts 8 people getting off(-8) and 10 people getting on(+10) which means that the passengers increased by two. This corresponds to the given equation.

Answer:   5.423 × 10^-5

Answer:

60

Step-by-step explanation:

the total cupcakes are:

(57/95) . 100 = 60

Answer:

x=17

Step-by-step explanation:

57-x-x=23

57-2x=23

2x=23-57

2x=34

divide both sides wth 2x to make the eqaution equal

x=17

Answer:

C. 3

Step-by-step explanation:

2x+6

Divide 2 on both sides

x=3

Answer:

A i think

Step-by-step explanation:

1 Multiply both sides by 3x3x.

6{x}^{2}-12+21x=x6x

​2

​​ −12+21x=x

2 Move all terms to one side.

6{x}^{2}-12+21x-x=06x

​2

​​ −12+21x−x=0

3 Simplify  6{x}^{2}-12+21x-x6x

​2

​​ −12+21x−x  to  6{x}^{2}-12+20x6x

​2

​​ −12+20x.

6{x}^{2}-12+20x=06x

​2

​​ −12+20x=0

4 Use the Quadratic Formula.

x=\frac{-20+4\sqrt{43}}{12},\frac{-20-4\sqrt{43}}{12}x=

​12

​

​−20+4√

​43

​

​​

​​ ,

​12

​

​−20−4√

​43

​

​​

​​

5 Simplify solutions.

x=-\frac{5-\sqrt{43}}{3},-\frac{5+\sqrt{43}}{3}x=−

​3

​

​5−√

​43

​

​​

​​ ,−

​3

​

​5+√

​43

​

​​

​​

Answer:

B

Step-by-step explanation:

The pattern is adding 130, or multiply the servings by 130.

so if 3x=390, you would divide both sides by 3 and get 130.

This means that x=130

Now plug in 4x=?

You would get 4*130=?

if you do the math through multiplication you would get 520

Answer:

B

Step-by-step explanation:

I got the unit test right on edg 2020

Answer:

B: (-8,-2)

you add the equation to solve the first variable, then plug in the values to the other equation to find the last variable

good Luck!!!

Answer: 21 hours

Step-by-step explanation:

i’m not sure how to solve it i just guessed and got it right

Answer:

21

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

the slope is 2

2*30 = 60

40 - 60 = -20

Answer:

u=27 v=9.5 w=28.5

Step-by-step explanation:

Answer:

15(B)

Step-by-step explanation:

all of those angles add up to 180 on a line

9 times 15 is 135

3 times 15 is 45

135+45 is 180

Answer:

f = h/G

Step-by-step explanation:

Step 1: Write equation

Gf = h

Step 2: Divide both sides by G

f = h/G

Answer:

[tex]y=\frac{1}{3} x+5[/tex]

Step-by-step explanation:

We know that since the equation of the line that we need to find has to be parallel, it must have the same slope. Also, the slope-intercept formula is:

[tex]y=mx+b[/tex]

Plugging in the values we know:

[tex]8=\frac{1}{3} (9)+b[/tex]

We solve for [tex]b[/tex] and get:

[tex]b=5[/tex].

So, the equation of our new line must be:

[tex]y=\frac{1}{3} x+5[/tex]

Answer:

-1/6

Step-by-step explanation:

i can't see the paper

Step-by-step explanation:

For examppe

f(x) = 3x + 1

f(-2) = 3(-2) + 1

= -6 + 1

= -5

Answer:

The y-intercept is -5 and I’m not sure about the rate of change

Step-by-step explanation:

Answer:

[tex]\huge\boxed{66.42 \textdegree}[/tex]

Step-by-step explanation:

In order to solve for this missing angle, we can use trigonometry.

With angle B, we only have two sides: the adjacent of the angle and the hypotenuse of the angle. The adjacent side is the one laying directly next to the angle that isn't the hypotenuse.

Using SOH CAH TOA, we can see that the correct trig function for this would be cos because of CAH (Cosine = Adjacent over Hypotenuse)

Since we know the length of the sides but we don't know the angle, we are going to use inverse trig.

The adjacent side over our hypotenuse will be [tex]\frac{2}{5}[/tex] since 2 is the length of the adjacent and 5 is the length of the hypotenuse.

We know have the equation [tex]cos^{-1}(B) = \frac{2}{5}[/tex].

We now find what [tex]\frac{2}{5}[/tex] is (0.4) and find the inverse cosine of it. We can do this by plugging it into a calculator.

When we do this, we get the number [tex]66.42182152[/tex] etc. Rounding to the nearest hundredth gets us 66.42.

Hope this helped!

3,708,000,000 in  scientific notation is [tex]3.708[/tex] × [tex]10^9[/tex]

Answer:

255.039

Step-by-step explanation:

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Combine~\frac{1}{3}m~and~-\frac{5}{6}m:[/tex]

[tex]2.)~Subtract~3~from~both~sides:[/tex]

[tex]3.)~Multiply~both~sides~by -2:[/tex]

______________________________

 [tex]\bold{Answer:}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

Answer:

(4,9)

Step-by-step explanation:

Given

Round 1: (1,3)

Round 2: (2,6)

Round 3: (3,3)

Required

Determine the coordinate of Round 4

Since, Mia score is round 2 and 3 combined;

We have:

Round 4 = 6 + 3

Round 4 = 9

Hence:

The coordinates is (x,y)

Where

x = Round number

y = Score

So, we have: (4,9)

Round 4:

(4, 9)

x = round so 4

y = score of round 2 and 3 combined so 9 (6 + 3)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

If you solve this inequality you should get...

[tex]4<3+4x\\1<4x\\\frac{1}{4} <x[/tex]

So I don't know if you can but the answer is all three because 9, 7, and 1 are all greater than [tex]\frac{1}{4}[/tex].

Answer:

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

Step-by-step explanation:

Probability is the likelihood or chance of an event occurring. Probability can be determined using the formula below

Probability = Number of favorable outcome / Total number of possible outcomes.

From the question, we are to determine the probability of reaching into the box and randomly drawing the chip numbered 170.

Here, the number of favorable outcome is 1 (which is the chip numbered 170)

Total number of possible outcomes is 216 ( all the 216 identical plastic chips)

Therefore,

Probability = 1/216 or 0.0046

This is the probability of randomly drawing the chip numbered 170.

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

Answer:

1: is low accuracy and high precisian. 2: is low accuracy and low precisian. 3: is high accuracy and high precisian.

Step-by-step explanation: