An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 Tons. The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each. For a different shipment, cars are loaded first, and then trucks are loaded afterwards. Write an equation you could enter into a calculator or a spreadsheet tool to find the number of trucks that can be shipped if the number of cars is known. Let x=number of cars (input) and Let y=number of trucks (output)

[tex]a(c - b) = d[/tex]

Divided sides by a

[tex] \frac{a}{a}(c - b) = \frac{d}{a} \\ [/tex]

[tex]c - b = \frac{d}{a} \\ [/tex]

Plus sides b

[tex]c - b + b = \frac{d}{a} + b \\ [/tex]

[tex]c = \frac{d}{a} + b \\ [/tex]

Done.....♥️♥️♥️♥️♥️

Answer:

[tex]c = \frac{ab + d}{a}[/tex]

Step-by-step explanation:

Step 1: Add ab to both sides.

−ab + ac + ab = d + ab

ac = ab + d

Step 2: Divide both sides by a.

[tex]\frac{ac}{a} =\frac{ab + d}{a}[/tex]

[tex]c = \frac{ab + d}{a}[/tex]

Hope it helps!!

Answer:

6x3(067)m

Step-by-step explanation:

uhm do the math

Answer:

x = 25

Step-by-step explanation:

3x + 5 + 5x - 25 = 180 (collect like terms)

8x - 20 = 180 (add 20 on both sides)

8x = 200 (divide by 8 on both sides)

x = 25

Since they are supplementary that mean together they add up to 180 so that's why I added them together.

Answer:

it will be 40

Step-by-step explanation:

(-8/3)/(-2/6)

negative times negative equals positive

simplify -2/6 to -1/3 AND FLIP THE -1/3 TO -3/1

-8/3*-3/1

cancel out the 3s and make them 1s

cancel out the negatives and make them positive

8/1 = 8

Answer:

x = - 1

Step-by-step explanation:

Given

- 2(bx - 5) = 16 ← substitute b = 3

- 2(3x - 5) = 16 ( divide both sides by - 2 )

3x - 5 = - 8 ( add 5 to both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

Answer:

93.75 hours

Step-by-step explanation:

5500-4000=1500

1500/16=93.75

Answer:

Step-by-step explanation:

<a = 85° ( Vertically Opposite Angles )

<b = 180 - 85 = 95° ( Adjacent Angles )

Hope this helps

Plz mark as brainliest!!!!!!!!

Answer:

<a=85

<b=95

Step-by-step explanation:

<a is going to be the same as the other angle is across from it. So <a equals 85 degrees. So now since we know that two parts are 85 degrees we add 85 + 85 and we get 170 degrees. Since the whole thing is 360 degrees we need to subtract the 170 degrees that we already have. So 360-170 is equal to 190 degrees. Now since <b is the same as the angle across from it is we just need to divide the remaining degrees in half. So we take the 190 degrees and divide that in half. When you divide that in half you get 95 degrees. So <b is 95 degrees.

Given parameters:

Mark up percentage  = 150%

Original cost = $488

Sales tax = 5%

Unknown:

His total cost  = ?

Solution:

Marking up a good is the amount a sell adds to a product which makes its selling price usually for a profit.

 Since the emerald was marked up by 150%;

   New cost  = (1 + 1.5) x $488 = $1220

Now, the additional tax was 5%;

   Tax = [tex]\frac{5}{100}[/tex] x 1220 = $61

So, the total cost = New cost + tax  = $1220 + $61 = $1281

Answer:

the answer is 50$ hope it helps :)

Step-by-step explanation:

Answer:

21 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

given the total amount at hand is $25

let the price of  candy be x

then the cost of 3 candy will  be 3x

the cost of a candy snake is $12.50.

balance at hand after the end of buying $8.75

the total expenses summed up must equal the initial amount at hand which is $25

the expression for the scenario is 3x+12.5+8.75=25

3x+21.25=25

3x=25-21.25

3x=3.75

x=3.75/3

x=$1.25

The cost of a candy is $1.25

Answer:

D

Step-by-step explanation:

180 is a flat line therefore straight!!!

Answer:

C. 2/3

Step-by-step explanation:

That's what i got personally, but i would wait for another answer to confirm

Answer: less

Step-by-step explanation:

if when you say harbor you’re referring to were ships are docked im pretty it doesn’t get as elevated as the sea

Answer:

c

Step-by-step explanation:

just substitute a big number into x like 10^6 as it approaches

[tex] + \infty [/tex]

and a big negative number like -10^6 as it approaches

[tex] - \infty [/tex]

Answer:

$37,650

Step-by-step explanation:

A=15000(1+0.0525)^18

A=15000(2.51)

A=37650

Answer:

d

Step-by-step explanation:

Answer:

131

Step-by-step explanation:

262 divided by 2 equals 131

for a second i thought you were talking about the kim kardashians lma.o

and btw the answer is 4

Answer: D

Step-by-step explanation:

[tex]4 - 2(x - 3) = 24 \\ [/tex]

[tex]⇒4 - 2x + 6 = 24 [/tex]

[tex]⇒ - 2x = 24 - 6 - 4[/tex]

[tex]⇒ - 2x = 14[/tex]

[tex]⇒x = \frac{14}{ - 2} [/tex]

[tex]⇒x = - 7[/tex]

Hence, Answer is -7.

Answer:

- 7

Step-by-step explanation:

Step 1:

4 - 2 ( x - 3 ) = 24      Equation

Step 2:

4 - 2x + 6 = 24           Multiply

Step 3:

- 2x + 10 = 24       Combine Like Terms

Step 4:

- 2x = 14           Subtract 10 on both sides

Step 5:

x = 14 ÷ - 2       Divide

Answer:

x = - 7

Hope This Helps :)

Answer:

B.

Step-by-step explanation:

Answer:

∠BFA = 50°

Step-by-step explanation:

To find∠ BFA we first have to find ∠BFE this is how we'll do it!

5x-10 + 3x+4 + 2x +16 = 180 (collect like terms)(5x+3x+2x)(-10+4+16)

10x + 10 = 180 (minus 10 on each side)

10x = 170 (divide by 10 on each side)

x = 17

Plug in. (Plug in the rest of the equations)

5(17)-10=75°

3(17)+4=55°

2(17)+16=50°

∠BFA would equal 50 degrees because it is vertical of ∠DFE.

When two angles are vertical to each other they equal the same amount or in other words they're congruent.

Hope this helps!!!

Answer: B

Step-by-step explanation:

Two- fifths

Answer:

The answer is 2/5 (B)

Step-by-step explanation:

1/3 divided by 5/6

To solve, we need to multiply the reciprocal of the divisor (5/6 in this case)

The reciprocal of 5/6 is 6/5

1/3*6/5 = 6/15 which can be reduced to 2/5

The answer is 2/5 (B)

Hope this helps!

Answer:

[tex]\angle 1=39\textdegree[/tex]

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle always equal 180. Therefore:

[tex]\angle 1+\angle Y+102=180[/tex]

Let's subtract 102 from both sides. This yields:

[tex]\angle 1+\angle Y=78[/tex]

Now, notice the that both ∠1 and ∠Y have exactly one arc mark.

Arc-marks denote congruence. Therefore, ∠1 and ∠Y are congruent to each other. In other words:

[tex]\angle 1=\angle Y[/tex]

So, we can substitute ∠Y for ∠1 for our equation. This yields:

[tex]\angle 1+\angle 1=78[/tex]

Combine like terms:

[tex]2\angle 1=78[/tex]

Divide both sides by 2. So, the measure of our angle is:

[tex]\angle 1=39\textdegree[/tex]

And we're done!

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    [tex]\boxed{\bold{a_n=7n-12}}[/tex]

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

[tex]a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}[/tex]

Answer:

7 degrees

Step-by-step explanation:

The temperature in Monday was 14 degrees

On tuesday the temperature decreased by 5 degrees

On Wednesday it decreased by 10 degrees

On thursday the temperature increased by 8 degrees

Therefore the temperature at the end of the day on Thursday can be calculated as follows

= 14 - 5 - 10 + 8

= 7

Hence the temperature at the end of the day on Thursday is 7 degrees