This table shows the running time, in hours, for each of the three widget producing machines over the course of three months. Find the number of widgets produced per hour by each machine. Let x1, x2, and x3 represent widgets produced per hour for each machine.

To solve this problem, we need to know 2 relationships:

The distance of AC is the sum of AB and BC.

[tex]AC = AB + BC[/tex]

We know this since the distance of going from A to C (AC) is the same as going from A to B (AB), then B to C (BC).

The distance of AB is the same as AC.

[tex]AB = BC[/tex]

We know this since B is in the middle of AC, so the distance from B to A (BA) is the same as the distance from B to C (BC).

You can see the attached image (at the bottom) for a visualization of this.

Since we know the values of AB and BC...

[tex]AB = x+9\\BC = 3x-7[/tex]

...we can put these values into our 2nd equation and solve for x:

[tex]AB = BC\\x + 9 = 3x -7[/tex]

Add 7 to both sides:

[tex]x + 16 = 3x[/tex]

Subtract x from both sides:

[tex]16 = 2x[/tex]

Divide both sides by 2:

[tex]8 = x\\x = 8[/tex]

Knowing x, we can find the distance of AC using our first equation.

[tex]AC = AB + BC[/tex]

Let's put in the values of AB and BC:

[tex]AC = (x+9) + (3x-7)[/tex]

Before we put in x = 8, we can simplify this:

[tex]AC = (x+9) + (3x-7)\\AC = x + 9 + 3x -7\\AC = x + 3x + 9 -7\\AC = 4x + 9 - 7\\AC = 4x+2[/tex]

We group x and 3x and add those together. Then we subtract 7 from 9.

With this equation, we can put in x = 8:

[tex]AC = 4x +2\\AC = 4*8 + 2[/tex]

Since 4 * 8 = 32:

[tex]AC = 4 * 8 + 2\\AC = 32 + 2\\AC = 34[/tex]

Finally, we have found both x and AC.

x = 8

AC = 34

Answer:

2B/( h-q)=a

Step-by-step explanation:

2B=ha-qa

Factor out an a

2B=a(h-q)

Divide each side by ( h-q)

2B/( h-q)=a(h-q)/( h-q)

2B/( h-q)=a

Answer:

a = [tex]\frac{2B}{h-q}[/tex]

Step-by-step explanation:

Given

2B = ha - qa ← factor out a from each term

2B = a(h - q) ← divide both sides by (h - q)

[tex]\frac{2B}{h-q}[/tex] = a

Answer:

8/9

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

Answer:

5008000000 doesnt equal 4^15

Answer:

28 people

Step-by-step explanation:

Plug in 350 as c into the equation, since c is the total cost:

c = 5p + 210

350 = 5p + 210

Solve for p:

140 = 5p

28 = p

So, 28 people can attend

Answer:

two lines, AB and CD, intersect at point E. find the values of x and y given that: the measure of angle AED equals (10x+9y), the measure of angle AEC equals (xy), and the measure Algebra -> Angles -> SOLUTION: two lines, AB and CD, intersect at point E. find the values of x and y given that: the measure of angle AED equals (10x+9y), the measure of angle AEC equals (xy), and the measure Log On

Step-by-step explanation:

Answer:

w + v

------- (a)

b

Step-by-step explanation:

Answer:The Answer Is C, 7 because when you divide 42 by 90 you get 7 over 15.

Step-by-step explanation:

Answer:

You would have to cut off 100 centimeters

Step-by-step explanation:

Because 250 centimeters is 2.5 meters and 1.5 meters is 150 centimeters

Answer:

I think 11

Step-by-step explanation:

11 goes in to 33 88 and 110 evenly

Answer:

11x

Step-by-step explanation:

Each term has 'x' so we know that we can factor out the 'x'. Then we are left with

x(33+88+110)

All three of the numbers inside the parenthesis are divisible by 11. So we will get

11x(3+8+10)

There are no more common factors so 11x is the GCF.

Answer: x = 6

---------------------

Answer:

36

Step-by-step explanation:

you just devide 18 by 6, which was three, then you multiply from there up to 9, which gives you 36 ( that probably made no sense, im bad at math )

Answer:

Math and writing

Step-by-step explanation:

Because Math is easier to understand for my brain. And writing I can write fiction stories which is awesome!

Answer:

To convert from slope-intercept form y = MX + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.

Step-by-step explanation:

Make sure to edit so you don't get copy write.

And also could I have brainiest?

Answer:

3.4

Step-by-step explanation:

Answer:

e=\frac{4.1\sin 50}{\sin 111} \approx 3.364 \approx 3.4  e=  4.1sin50/sin 111 ≈3.364≈3.4

Step-by-step explanation:

deltamath

Answer: A. $5 × 25

Step-by-step explanation:

Given the following :

Number of cartons of specialty paper ordered = 24 cartons

Regular price for a carton = $6.88

Discount given off each carton = $1.75

Hence,

Discounted price per carton = $(6.88 - 1.75) = $5.13

Actual amount to be paid for the order :

Discounted price * number of cartons to be ordered

$5.13 * 24

Hence, a reasonable estimate will be :

$5.13 = $5( nearest whole number)

24 can be rounded to 25 (this covers for the $0.13 on the discounted cost per carton)

Reasonable estimate :

$5 × 25

Answer:

The answer is  A. $5 × 25

Step-by-step explanation:

Given that the total number of cartons is 24

the price per carton originally is $6.88

the discount is $1.75

hence the company will have to pay 6.88-1.75= $5.13

hence the price per carton upon removal of the discount is  $5.13

for all 24 cartons, the company will have to pay 24*5.13  

A reasonable estimate from the given option is  

A. $5 × 25

Answer:

m=slope

y= intercept

m=y2-y1 /x2-x1     -8  - 6= -14

                              4- -3 =   7

                                        -14/7 a 2 is your slope

y=2x=b

Now we find for X

choose a y from one of your points :  lets use 6 Plug 6 in for y s(-3,6)

y=2x+b

6=2(-3) +b

now solve for b

6= -6 + b  

now add 6 to both sides to get b alone

6+6 =6+-6 +b

12=b

now write you equation out  y=2x =12

Step-by-step explanation:  

hope that helps

Answer:

B

Step-by-step explanation:

We have the function:

[tex]f(x)=x^2-5x[/tex]

And we are given that:

[tex]f(n)=-4[/tex]

And we want to find the value of n such that this is true.

So, let's substitute f(x) for -4 and x for n. This yields:

[tex]-4=n^2-5n[/tex]

Let's solve for n. First, add 4 to both sides:

[tex]n^2-5n+4=0[/tex]

This is a quadratic. We can solve by factoring:

[tex](n-1)(n-4)=0[/tex]

Zero Product Property:

[tex]n-1=0\text{ or } n-4=0[/tex]

Solve for n for each equation:

[tex]n=1\text{ or }n=4[/tex]

So, n can be either 1 or 4.

Our of our answer choices, the correct answer is B.

And we're done!

Answer:

As a proper fraction. (numerator smaller than denominator): 2/3 = 2/3

As a decimal number: 2/3 ≈ 0.67.

As a percentage: 2/3 ≈ 66.67%

That's all I can provide

The value of the expression (-64)^(2/3) can be simplified as 16.

Given an expression (-64)^(2/3).

We have to find the value of the expression.

We have the rules of exponents that,

aᵇⁿ = (aᵇ)ⁿ

Using this rule, the expression can be written as,

(-64)^(2/3) = (-64²)^(1/3)

                 = (4096)^(1/3)

Now,

(a)^(1/3) is equal to ∛a.

(-64)^(2/3) = ∛4096

                 = 16

Hence the correct option is B.

Learn more about Exponents here :

https://brainly.com/question/5497425

#SPJ6

Answer:

both are multiplication mark me brainiest

Answer:

f(9) = 8

Step-by-step explanation:

Step 1: Define

f(x) = x - 1

f(9) is x = 9

Step 2: Substitute and Evaluate

f(9) = 9 - 1

f(9) = 8

Answer:

2:1

Step-by-step explanation:

$2 for 1 pound of meat purchased

Answer:I think 2 Because if you have 7 and You add another its 14 so 2

Step-by-step explanation:Also can you make be braniest poss if not its ok :)

Answer:

the answer is 12

Step-by-step explanation:

you substitute the y with 12

Answer:

12m

Rearange the equation to get c^2-b^2=a^2

That would be 13^2-5^2=144

Square root 144 to get 12

Answer:

ME BIG TIME!!!!

Step-by-step explanation:

Answer:

we have to find the derivate of that function which is: -4.9*2t +21 and to find the maximum height this derivate should be equal to 0

-9.8t+21=0 so

t=21/9.8=2.14