Make x the subject of the formula x/a 2 + 3 b = 2 c

Answer:

a.

Step-by-step explanation:

4x+y=20 multiplied by (-4) gives you -16x-4y=-80

Answer:

x = 2

Step-by-step explanation:

The two angles are congruent because they are alternative interior angles.

9x + 4 = 3x + 16

9x - 3x + 4 = 3x - 3x + 16

6x + 4 = 16

6x + 4 - 4 = 16 - 4

6x = 12

x = 2

Answer:

First, you combine like terms.

Then, you divide both sides of the equation by the same term.

Next, you simplify.

Lastly, you have your solution, which is x= 18

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

Coordinates ( x, y ) from "red area" satisfy all three inequality.

Answer:

They need to wash 72 cars

Step-by-step explanation:

2000 - 1640 = 360

360/5 = 72

Answer:

Step-by-step explanation:

Let the required distance be x.

We have a right triangle with vertical leg of 70 feet and the acute angle opposite to this leg is 22 degrees.

Use trigonometry:

Answer:

4 raws of 13 each

Step-by-step explanation:

Answer:

An independent variable is a variable that represents a quantity that is being manipulated in an experiment. ... In the context of a function, the independent variables are the inputs to the function and the dependent variables are the outputs of the function.

Answer:

0.3 feet

Step-by-step explanation:

2.75(0.8)^x

in which x is the number of bounces after the firts bouce

bouce 12 would mean x=11

2.75(0.8)^11 = 0.2

Answer:

x = 24

Step-by-step explanation:

x/4 + 10 =16

      -10    -10

x/4 = 6

*4     *4

x=24

hope this helps! :)

Answer:

bestie so do i

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

let the number be n then 7 less than this number is n - 7 , so

n - 7 = 16

Step-by-step explanation:

so, what is the problem with the first one ?

you only need to put the specified values into the places of the variables and then simply calculate :

2×-5 + 8×6 = -10 + 48 = 38

that is how expressions, equations and functions work.

for the second, I am counting only the squares with their clear "majority" inside the line. any small parts of squares I ignore.

so,

first row : 3

second row : 5

third row : 5

fourth row : 6

fifth row : 7

sixth row : 7

seventh row : 4

eighth row : 2

total : 39

Answer:

60 mph

Step-by-step explanation:

Step-by-step explanation:

Given,

3 coffee + 2 muffins = $7

and

2 coffees + 4 muffins = $8

let the coffee be x and muffins be y.

so now, we got

3x + 2y = $7 -----------(eqⁿ 1)

2x + 4y = $8 -------------(eqⁿ 2)

multiply (eqⁿ 1) by 2

we got,

2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)

now, subtract (eqⁿ 2) from (eqⁿ 3)

we got,

(6x - 4y = $14) - (2x + 4y = $8)

we got,

4x = $6

x = 6/4 = $1.5

to get value of y put the value of x in eqⁿ2

we got,

→ 2(1.5) + 4y = $8

→ 3 + 4y = 8

→ 4y = 8 - 3 = 5

→ y = 5/4 = $1.25

hence,

value of one coffee = $1.5

value of one muffin = $1.25

Hope this answer helps you dear! take care!.

Step-by-step explanation:

since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get

f(x) = x²/9 × c

c = m×e^n

f(1) = 1/9 × m×e^n = 5

=> m×e^n = 45

f(3) = 9/9 × m×e^n = 45

m = 45

n = 0

Answer:

-23.33

Step-by-step explanation:

C = 5/9 (F - 32)

C = 5/9 (-10 - 32)

C = 5/9 (-42)

C = -23.33

The equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x

Given:

cost per sack of crayfish = $62. 50

Delivery fee = $20. 00

y = Total cost

x = sacks of crawfish

The equation:

Total cost = Delivery fee + cost per sack of crayfish(sacks of crawfish)

y = 20 + 62.50x

Therefore, the equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x

Learn more about equation:

https://brainly.com/question/4916384

Answer:

Poor Alex, I know how they feel, I got a dog myself.

The amount of time between

11:41 pm to 12:09 am is

19 minutes (to 12 am, 60 minutes to next hour) + 9

which is 28 minutes for the first dog barking session

the second time is 35 minutes,

using same method as before.

adding the two separte barking sessions we get

35+28= 63 minutes

which is equivelant to 1 hour and 3 minutes.

In conclusion the dog barks for 1 hour and 3 minutes in total.

Answer:

B

Step-by-step explanation:

1 box?

I'm confused whether you made a mistake writing the question or of this is what the actual question is like.

Answer:

(u+2)-8

Step-by-step explanation:

sum is addition, less than is subtraction

The best estimate for [tex]\sqrt{0.96}[/tex] is 0.98. The correct option is C. 0.98.

Given expression is [tex]\sqrt{0.96}[/tex].

We have to estimate the nearest hundredth value of [tex]\sqrt{0.96}[/tex].

Now we have to first calculate the square root of 0.96 after that we can estimate the nearest hundredth value of it.

For calculating the square root of 0.96 we have various method, but here we use the 'Babylonian Method' to get the square root of any positive number.

We must set an error for the final result.

Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.

Divide the number (0.96) by 2 to get the first guess for the square root . First guess will be [tex]\frac{0.96}{2} =0.48[/tex]

Divide 0.96 by the previous result, [tex]\frac{0.96}{0.48} = 2.[/tex]

Average the value of step 2) with that of step 1:

[tex]\frac{0+0.48}{2} = 1.24[/tex] (new guess).

Now,

[tex]error= new\ guess-previous \ value[/tex]

[tex]error= 1.24-0.48\\error=0.76[/tex]

0.76 > 0.01.

As error > accuracy, we repeat this step again.

Divide 0.96 by the previous result.

[tex]\frac{0.96}{1.24} =0.7741935484[/tex]

Average the above value with that of step 2:

[tex]\frac{(0.7741935484 + 1.24)}{2} = 1.0070967742\ (new \ guess).[/tex]

[tex]Error = new \ guess - previous \ value \\Error=1.24-1.0070967742\\Error= 0.2329032258[/tex]

0.2329032258 > 0.01.

As error > accuracy, we repeat this step again.

Divide 0.96 by the previous result.

[tex]\frac{0.96}{1.0070967742} = 0.9532351057.[/tex]

Average the above value with that of step 3:

[tex]\frac{(0.9532351057 + 1.0070967742)}{2} = 0.98016594\ (new\ guess).[/tex] [tex]Error = 1.0070967742 - 0.98016594 \\Error= 0.0269308342.[/tex]

0.0269308342 > 0.01.

As error > accuracy, we repeat the step again.

Divide 0.96 by the previous result.

[tex]\frac{0.96}{0.98016594} = 0.9794259939.[/tex]

Average the above value with that of step 4:

[tex])\frac{(0.9794259939 + 0.98016594)}{2} = 0.979795967 (\ new \ guess).[/tex] [tex]Error = 0.98016594 - 0.979795967\\Error = 0.000369973.[/tex]

0.000369973 < 0.01.

As error < accuracy, we stop the iterations and use 0.979795967 as the square root of 0.96.

So, we can say that the square root of 0.96 is 0.979 with an error smaller than 0.01 (in fact the error is 0.000369973). this means that the first 3 decimal places are correct.

Since the value of the right side from the hundredth place is greater than 4 so for rounding off we add 1 to the hundredth place.

So the nearest hundredth value of [tex]\sqrt{0.96}[/tex] is 0.98.

Hence the correct option is C. 0.98.

For more details on square root follow the link:

https://brainly.com/question/1527773

Answer:

k < -4 or k > 13

Step-by-step explanation:

Let's take a look at the graph, we can see that the arrows point towards both directions, both dots are open, meaning that we can only have < and > signs. We can see that the arrow pointing to the left contains numbers that are less than -4, so that part of the compound inequality must be k < -4. And on the other side, they are numbers that are greater than 13, so that part must be k > 13. Thus, the answer must be d.

Hopes this helps.

Answer:

Step-by-step explanation:

Cost price = fixed expenses + variable expenses× number of products (x)

Selling price = total cost price + profit

At break even point,

Profit = 0

Therefore, total selling price = total cost price

X(22.50)= 25560 + x(4.50)

(22.50 - 4.50)x = 25560

18x= 25560

X = 1420

Answer:

How to find a solution in an equation:

(1) Substitute the number for the variable in your equation,

(2) Simplify the expressions on both sides of your equation and

(3) Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

Step-by-step explanation:

If any questions, please ask them below.

If you have no questions, please have a great rest of your day/night!

Answer:

d

Step-by-step explanation:

the center of the circle is at (-4. -5) with a radius of 6

Answer:

1000 ≥ 10.50x + 50

Step-by-step explanation:

≥ is a greater than or equal to sign. We want to know how many she could possibly buy.