If I earn $15/hour and work for 20 hours/week, how much would I earn in one
month?

A.)$1,200

B.)$3,500

C.)$3,000

D.)$2.000

An equation is formed of two equal expressions. The amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the amount of premium anti-freeze solution mixed be represented by x, while the amount of water mixed be represented by y.

Since the total mixture should be 240 gallons, therefore,

x + y = 240

Solving for y,

y = 240 - x

Given the percentage of pure antifreeze, the mixture should contain is 15%. Therefore, we can write,

60%x + 0%y = 15%(240)

0.60x = 0.15(240)

x = 60 gallons

Now substitute the value of x in the first equation,

y = 240 - 60 = 180 gallons

Hence, the amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.

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Answer:

Question 7: 64

Step-by-step explanation:

Let me know if you need more help !!

Step-by-step explanation:

hopefully the picture uploads

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let t is the time the train has taken to travel and x is the distance it travelled. Thus,

[tex]t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}[/tex]

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let t is the time the car has taken to travel and x is the distance it travelled. Thus,

[tex]t+2=3+\dfrac{(x-3\times35)}{51}[/tex]

As t is same, thus put the value of t in this equation,

[tex]\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6[/tex]

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

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Equations to use:

x = biology

y = history

x + y = 445.

x - 45 = y

Step-by-step explanation:

hope you understand..........

here is the answer of your question

Answer:

x plus 5 = 2/3

Step-by-step explanation:

it is a 90° angle

a = 90 - 49

a = 41

hope it helps...!!!

Answer:

b=130°

Step-by-step explanation:

The relationship between these two angles is about the fact that they are supplementary

i.e their sum is 180°

Answer:

ah

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

You just have to plug in the values :)

Since y = 3 and x = 2:

4y - x = 4(3) - 2 = 12 - 2 = 10

Answer:

10

____

[tex]\sf Part[/tex] I

⋆ [tex]\sf Given~y~and~x~are~3~and~2...[/tex]

⋆ [tex]\sf Use~the~values~to~solve[/tex]

____

[tex]\sf Part[/tex] II

[tex]4y-x\\(4y)-x\\(4*y)-x\\(4*3)-2\\= 10[/tex]

Let us first consider how many sides this figure has:

  ⇒ it has 6 sides

Now to find the supposed sum of all the angles added up together for a hexagon, must use:

  ⇒ [tex]Formula =(n-2)*180[/tex]

Let's plug in the number of sides:

  [tex]Sum_.of_.angles=(6-2)*180=720[/tex]

Therefore all the angles of a hexagon must equal 720 degrees:

   [tex]x + 90 + 110+160+90+140=720\\x + 590=720\\x = 130[/tex]

The value of x is 130.

Answer: 130

Hope that helps!

Answer:

5.189-2.94=2.249

Step-by-step explanation:

Use the calculator.

Answer:

it a 26.64 units. hope it helps

Answer:

169.56 m³

Step-by-step explanation:

» Concepts

The volume of a cylinder is how much space there is inside the cylinder. The formula to find the volume is πr²h, where r = radius and h = height. Once you get the volume, you have to add <unit>³.

» Application

We are given the radius as three meters and the height as six meters; we also have to use π as 3.14. Now, we just have to plug in these values into the aforementioned formula.

» Solution

Answer:

let the smaller number be x and the larger number is y

y =x+3

x+y²=377

x+(x+3)²=377

x+(x+3)(x+3)=377

x+x²+3x+3x+9=377

x²+7x+9-377=0

x²+7x-368=0

using factorization method

check the attachments for more details

Answer:

4.  A.  y = -3x - 2

5.  B.  ¹/₃

Step-by-step explanation:

General form of a linear equation:   y = mx + b

(where m is the slope and b is the y-intercept)

Question 4

From inspection of the graph, the y-intercept is at y = -2

The slope is the change in y divided by the change in x, so we can see that for every change of 1 x-value, the y-value decreases by 3 units.

Therefore, the slope is -3

So the equation of the line is y = -3x - 2

Question 5

Referring to the general form of the linear equation quoted above,

for equation y = ¹/₃x + 4

Answer:

54.9381 square inches

Step-by-step explanation:

Find the areas of both the square box and the circular pizza.

The equation for the area of a square is A = s^2. (or A = lw)

A = 16^2 = 256 square inches

The equation for the area of a circle is A = πr^2.

A = π(8^2) = 64π = 201.0619 square inches

Now subtract the areas.

256 - 201.0619 = 54.9381 square inches

Work Shown:

(0.10)^3 = (0.10)*(0.10)*(0.10) = 0.001

Answer:

0.001

Step-by-step explanation:

This can be modeled as a binomial distribution as:

Let "success" be the balloon popping.

⇒ trials (n) = 3

⇒ probability of success (p) = 0.10

To find the probability that all 3 of the balloons pop, use the binomial distribution with x = 3:

[tex]\begin{aligned} \displaystyle P(X=x) & =\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}\\\\\implies P(X=3) & =\binom{3}{3} \cdot 0.1^3 \cdot (1-0.1)^{3-3}\\ & = 1 \cdot 0.001 \cdot 1\\ & =0.001 \end{aligned}[/tex]

Answer:

188

Step-by-step explanation:

Ive attached my work

Hope it helps, Let me know if you have any questions !

Answer:

156.32 joules 

Step-by-step explanation:

In this case, we know the force of 64 N and the distance of 3 m. We also know that there is a 120°angle between the angle of the direction of applied force and the direction of motion. So plugging these values into our handy equation yields:

W = 64(3)cos(120)= 156.32 Joules

So the 64 N force at a 120° angle did 156.32 joules of work moving the book 3 meters.

Answer:

Step-by-step explanation:

we know 100 cm are in one meter,  so,  3 meters = 300 cm

then  20/300  =  20 cm  of 3 meters  , now just reduce the fraction

20/300

= 2 / 30

= 1/15

see??

Answer:

9/34

Step-by-step explanation:

P(QnR) = P(Q) * P(R)

= 12/17 * 3/8

= 9/34

Answer:

[tex](x-5)(x+3)[/tex]

Step-by-step explanation:

Factor by grouping

[tex]x^2-2x-15\\x^2+3x-5x-15\\x(x+3)-5(x+3)\\(x-5)(x+3)[/tex]

Answer:

35.5cm^2

Step-by-step explanation:

I believe we're talking about a rectangular. So it would be length * width or 7.5cm * 5cm = 35.5cm^2