pls find X in the following image :)

Answer:

17 miles per gallon

Step-by-step explanation:

Divide 51 by 3. Here's a better way to understand it:

Create a ratio to represent miles to gallons: 51-to-3

To find the ratio of miles per gallon, it's implying x miles for 1 gallon. To get this x value, you divide both sides by 3.

51/3 = 17miles/gallon

Hey there!

-4 + y + 4y - 5x + 2x - 3

COMBINE the LIKE TERMS

= (-5x + 2x) + (y + 4y) + (-4 - 3)

= -3x + 5y - 7

Answer: -3x + 5y - 7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.

Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.

The second word problem is:

It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)

Cost= m x+b

x is the cost per shirt, b is the handling charge

295=40m+b

565=80m+b

subtract the first equation from the second:

370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b

One the second question,

Cost= variable cost * n + Fixedcosts or

cost= n*v+F

1250=500v+f

1050=100v+f

subtract the second equation from the first

200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.

Answer:

r = 2L * a

Step-by-step explanation:

a= r/2L

then:

2L * a = 2L*r/2L

r = 2L * a

Answer:

[tex]\displaystyle 3[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

AND

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

Accourding to the graph AND the above information, your amplitude is three units. This means each crest is extended three units beyond the midline of [tex]\displaystyle y = 0,[/tex] the centre of your graph, also known as the vertical shift. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

Now, just in case you wanted to know the equation(s) of this graph, look below:

[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]

I am delighted to assist you at any time.

Answer:3

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Take the miles you already traveled and subtract it from the total.

73-29=44

Answer:

hence rate of interest is 8% and time 8 years

Step-by-step explanation:

Answer:

When x takes the value of 4, the expression takes the value of 9.

Step-by-step explanation:

We are given that the expression:

[tex]\displaystyle ax^2 + bx + c[/tex]

Evaluates to 0, 1, and 4 when x = 1, 2, and 3, respectively.

And we want to determine the value of the expression when x = 4.

The expression evaluates to 0 when x = 1. In other words:

[tex]\displaystyle a(1)^2 + b(1) +c = a + b + c = 0[/tex]

We can complete the same for the other two:

[tex]\displaystyle a(2)^2 + b(2) + c = 4a + 2b + c = 1\text{ and } \\ \\ a(3)^2 + b(3) + c = 9a + 3b + c = 4[/tex]

This yields a triple system of equations:

[tex]\displaystyle \left\{ \begin{array}{l} a + b + c = 0 \\ 4a + 2b + c = 1 \\ 9a + 3b + c = 4 \end{array}[/tex]

Solve. We can cancel out the c by multiplying the first equation by negative one and adding it to both the second and the third:

[tex]\displaystyle \begin{aligned} (4a + 2b + c) + (-a - b -c ) &= (-0) + (1) \\ \\ 3a +b &= 1\end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned} (9a + 3b + c) + (-a - b -c) &= (-0) + (4) \\ \\ 8a + 2b &= 4\end{aligned}[/tex]

Solve for the two resulting equations. We can multiply the first by negative two and add it to the second:

[tex]\displaystyle \begin{aligned}(8a + 2b) + (-6a -2b) &= (4) + (-2) \\ \\ 2a &= 2 \end{aligned}[/tex]

Hence:

[tex]a = 1[/tex]

Solve for b:

[tex]\displaystyle \begin{aligned} 3a + b &= 1 \\ b&= 1 - 3a \\ b&= 1 - 3(1) \\ b &= -2\end{aligned}[/tex]

And finally, solve for c:

[tex]\displaystyle \begin{aligned} a + b + c &= 0 \\ (1) + (-2) + c &= 0 \\ c &= 1\end{aligned}[/tex]

Hence, our expression is:

[tex]\displaystyle x^2 -2x + 1[/tex]

Then when x = 4:

[tex]\displaystyle (4)^2 - 2(4) + 1= 9[/tex]

In conclusion, when x = 4, the resulting value is 9.

Answer:

An exponential function is a Mathematical function in form f (x) = ax.

[tex]f(x) = ax[/tex]

Step-by-step explanation:

where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

NoTe: The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

if u need any help, just tell me know

Answer:

if we add 8 then the answer will be 30"

because

if 22is added 8 then it became 30

22+8= 30

simple

Answer:

13405 -- 2425 = 10980

Step-by-step explanation:

Answer:

-----> 13405-2425= 10980

Answer:

2 is your answer

Step-by-step explanation:

6x2=12

Answer:

72

Step-by-step explanation:

[tex] \frac{x}{6} = 12 \\ x = 12 \times 6 \\ x = 72[/tex]

Answer:

The answer is

x=³√6

semoga membantu

We are to find the number of terms in the AP that has a sum greater than 250

The number of teams in the AP which has a sum greater than 250 is at least 11 terms

First term, a = 3

second term, a + d = 8

so

common difference, d = 8-3

= 5

let

n = number of terms in the AP

The sum of n terms is 250

Sum = n/2{2a + (n - 1)d}

250 = n/2{2*3 + (n-1)5 }

250 = n/2{6 + 5n - 5}

250 = n/2(1 + 5n)

500 = n + 5n²

5n² + n - 500 = 0

Solve quadratically using formula

n = -b ± √b² - 4ac / 2a

= -1 ± √1² - 4(5)(-500) / 2(5)

= -1 ± √1 - (-10000) / 10

= -1 ± √1 + 10000 / 10

= -1 ± √10001 / 10

= -1 + √10001 / 10 or -1 - √10001 / 10

= -1/10 + √10001/10

or

-1/10 - √10001 / 20

= 9.9005 or -10.1005

The value of n must be positive and a whole value

Therefore,

n = 9.9005

Approximately, n = 10

The number of teams in the AP which has a sum greater than 250 is at least 11 terms

Read more:

https://brainly.com/question/24321873

Answer:

A is the right answer. so right it

60 days or 8.5 weeks

Step-by-step explanation:

1800-600=1200

1200/20=60

60/7=8.5

Answer:

5,-0.5 is the answer to the fist one

Step-by-step explanation:

they want you to give the middle point of the line segment when you have graphed the two end points,... find the coordinates of the point the would be in the middle,... Best of luck,... Chow

Answer:

C. employees per pool...

Answer:

1. n = -3

6n + 4n = -30

10n = -30

n = -3

Answer:

1400m^2

Step-by-step explanation:

Let the breadth of the garden be a, therefore the length of the garden is (a+5).

The perimeter of the garden is the sum of all its sides, therefore:

Perimeter = a + a + (a+5) + (a+5) = 150

Simplifying the LHS of the equation:

4a +10 = 150

Subtracting 10 from both sides of the equation:

4a = 140

Dividing both sides by 4:

a = 35 = breadth

Therefore the length of the garden = (a + 5) = 40

Recall that the area of the garden is its length multiplied by its breadth, therefore:

Area = 35*40 = 1400

Answer:

area=1400

Step-by-step explanation:

length(l)=x+5

breadth(b)=x

Perimeter=2(l+b)

      150    =2(x+5+x)

         150 =2x+10+2x

    150-10=4x

       140=4x

         x=35          

therefore breadth=35

                 length=40

area=l*b

      =35*40

     =1400

Answer:

25 divide 7

Step-by-step explanation:

hope this helps you

Answer:

c. 0.00632

Step-by-step explanation:

Since 10 is raised to a negative 3, this means that the zeros come before the non-zero digits

Answer:  List of prime numbers before 39: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.

Step-by-step explanation:

Answer:

la numerencia es

Step-by-step explanation:

39 1 5 68

Answer:

The order you placed it in at first was correct.

Step-by-step explanation:

Answer:

The possible dimensions of the deck can be anything that adds up to be 130 m.

Step-by-step explanation:

The perimeter could be 1m x 64m.

Two sides would be 1m each (so 2m total) and the other two sides would be 64m each (128m total). 2 + 128 = 130m.

The perimeter could be 15m x 50m.

Two sides would be 15m each (so 30m total) and the other two sides would be 50m each (100m total). 30 + 100 = 130m.

Answer:

75/4 cups (or 18-3/4 cups)

Step-by-step explanation:

2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream

10 people ----> requires 5 times the amount of shaving cream needed for 2 people

Hence shaving cream is needed for 10 people

= 5 x 3 3/4 cups

= 5 x 15/4 cups

= 75/4 cups (or 18-3/4 cups)

lemme know if it helped <3. and lemme me know if it's right :) .!