The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks, and it will cost an additional $125 for each ton of sugar
transported.
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 18 tons of sugar.

Answers

Answer 1

Answer:

$ 3750  = truck rental;   $125 per ton of sugar transported

C is cost;  S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.  

This shows that for each increase by one ton of sugar, the cost goes up $125

Step-by-step explanation:


Related Questions

I will give brainliest to correct answer

Answers

Answer:

less than 1 bag

Step-by-step explanation:

[tex] \sf{12 \: sq \: yds \: require = 7.5 \: bags}[/tex]

[tex] \implies\sf{1 \: sq \: yd \: will \: require = \frac{7.5}{12} \: bags} \\ = \sf{ \underline{0.625}}[/tex]

which is less than 1.

Implies that, each square yard requires about less than 1 bag of mulch.

heather ate 3/6 of a box of cookies. Melody ate 3/5, who ate
more?

Answers

Answer:

Melody

Step-by-step explanation:

3/6 = 0.5

3/5 = 0.6

i.e. If it has the same numerator but different denominator the one with the smaller denominator will be bigger  

Answer: Melody ate more.

Step-by-step explanation:

So, it would be Melody who ate more because

Over here:

Heather: ate 3 OUT of 6

Melody: ate 3 OUT of 5

Melody ate more because if you count up to 5 theres two cookies left, while Heather had 3 cookies left.

Hope this answers your question!

The length of a rectangle is 5 m less than six times its width. If the perimeter is 200 m, find the length and width of the rectangle.

Answers

Answer:

Let W be the width of the rectangle. The length will then be 6W (six times the width). The area is length times width. if this equals 216, then you have an equation

(6W)(W) = 216

6W2 = 216

W2 = 36

W = 6.

The width is 6 ft and the length must then be 6W = 36 ft.

To find the perimeter, use the formula

P = 2L + 2W.

Plug in:

P = 2(36) + 2(6) = 72 + 12 = 84 ft.

The perimeter is 84 ft. (Remember that area has units length units squared and perimeter has units same as length.)

Step-by-step explanation:

4. What will be the coordinates of L' given the following transformation?
J(-2,2), KT-1, 2), 1(-1, -2), M( -3, -1); (3,2)
A) (-5,0
B) (-1,4)
C) (2, 4)
D) (2,0)

Answers

Purpose: In class, we've seen several different coordinate systems on R2 and R3 ... Do the same for the y-axis. (d)

The decrease in the worth of Kenzie's car can be represented by the function m(t)=23,000(0.97)t, where t is the time in years, and m is the car's value in dollars.

What is the average rate of change of the car's value in dollars per year (rounded to the nearest dollar) during the first 4 years Kenzie owns it?


660

2638

−2638

−660

Answers

Answer:

-660

Step-by-step explanation:

what is the answer I had wanted to make sure if this was the answer

Answers

Answer:

area of the entire figure: 21 cm²

Step-by-step explanation:

bottom rectangle:

length * width

3 * 2

6 cm²

upper rectangle:

length * width

3 * 4

12 cm²

triangle area:

1/2 * base * height

1/2 * 2 * 3

3 cm²

Total area: 6 cm² + 12 cm² + 3 cm² = 21 cm²

Anyone pls help me in qn 11 in simultaneous equations

Answers

Answer: 19 cents

Step-by-step explanation:

Let's say that the cost of a lemon be L and the cost of an orange is O

We get the equation

4L + 3O = 5.45

7L + 4O = 9.30

The first equation can be made into the equation

28L + 21O = 38.15

And the second be made into

28L + 16O = 37.20

The second equation - The first question

5O = 0.95

O = 0.19

Brainliest if correct

Answers

Answer:

y=3

Step-by-step explanation:

We can solve this using substitution (substitute 4 for x)...

4+y=7

Subtract 4 from both sides

y=3

Answer:

y = 3

Step-by-step explanation:

x + y = 7

x = 4

4 + y = 7

y = 7 - 4

y = 3

In this swimming pool design, explain how to find the area of the pool's surface. ​

Answers

With a square or rectangular shape, the formula for figuring out how big an area is is simple: multiply the length and width of the shape by the square feet is the surface area of a pool that is feet long and feet wide (8x 10).

Answer:

Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.

Step-by-step explanation:sample

Which shows how to find the x-coordinate of the point that will divide AB into a 2:3 ratio using the formula x=(a/a+b)(x2-x1)+x1?

Answers

Let,

A = x1 = 2B = x2 = 3

Now, Plug in the values in the formula

[tex] \boxed{ \sf \multimap \: x = ( \frac{a}{a + b})( x_{2} - x_{1}) + x_{1} }[/tex]

[tex] \tt\nRightarrow \: x = ( \frac{2}{2 + 3} )( - 3 - 2) + 2[/tex]

[tex] \bf \Rrightarrow \: x = (\frac{2}{5} )( - 3 - 2) + 2[/tex]

Therefore, Option C is the correct choice!!~

Here are all the ways to make 5 except for one. Which one is missing?

5 + 0 = 5
2 + 3 = 5
4 + 1 = 5
3 + 2 = 5
0 + 5 = 5

Answers

Answer:

1 + 4 = 5

Step-by-step explanation:

You did duplicates of all numbers, other than that one! :)

Hope this helps!!

is cot 4 a is equal to tan (a - 20) where 4a is an acute angle find the value of a​

Answers

Answer:

a = 22

Step-by-step explanation:

[tex]cot \: 4a = tan \: (a - 20)....(given) \\ \\ \implies \: tan(90 - 4a) = tan \: (a - 20) \\ [\because \: cot \theta = tan(90 \degree - \theta) ]\\ \\ \implies (90 - 4a) = tan(a - 20) \\ \\ \implies \: 90 + 20 = 4a + a \\ \\\implies \: 110 = 5a \\ \\ \implies \: a = \frac{110}{5} \\ \\ \huge \red{ \boxed{\implies \: a = 22}}[/tex]

Solve the proportion using cross products.
14/6 = d/15

Answers

Answer:

D=35

Step-by-step explanation:

First, find a common multiple of both 15 and 6, we get 30, 14/6*5=70/6 meaning that 14/6=35/15

1. When you add the fractions 5/8, 3/16 and 11/32 the answer is _____________ *

Answers

Answer:

37/32

Step-by-step explanation:

5/8 + 3/16 + 11/32 = 37/32

Answer:

1.15625 or 1 and 5/32

Step-by-step explanation:

Result

5/8 + 3/16

= 13/16

Result in decimals: 0.8125

Calculation steps:

5/8 + 3/16 =  

5 × 2

8 × 2

+

3

16

=  

10

16

+

3

16

=  

10 + 3/16 =  13/ 16

The next  step would be:

home / math / fraction calculator

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator.

Result

13

16

+

11

32

=

37

32

=

1 5

32

Result in decimals: 1.15625

Calculation steps:

13

16

+

11

32

=  

13 × 2

16 × 2

+

11

32

=  

26

32

+

11

32

=  

26 + 11

32

=  

37

32

=  

1 5

32

Hope this helps! Have a nice day!

Please give brainliest when possible!

:3

EASY!!! What is (8+4)+24 / 2^3

Answers

Answer:

4 1/2.

Step-by-step explanation:

Given equation:

(8 + 4) + 24 ÷ 2³.

Solve:

(8 + 4) + 24 ÷ 2³= 12 + 24 ÷ 2³= 36 ÷ 2³= 36 ÷ 8= 4 R4= 4.5= 4 1/2.

What is the slope of the line that passes through the points (6,-5) and (6,-4)?
Write your answer in simplest form.

Answers

Answer:

[tex] \boxed{\tt \: m = \boxed{\tt Undefined}}[/tex]

Step-by-step explanation:

Given Two Points are:

[tex] \sf \: \tt (6,-5) \: \sf and \: \tt (6,-4)[/tex]

We need to Find:

[tex] \longrightarrow \sf \: The \: Slope[/tex]

Solution:-

We know that,

[tex] \sf \: Slope = \tt \: Rise/Run \: , \: \sf \: i.e. \: \: \boxed{\tt\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex] \sf \: Slope= \boxed{\tt\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Where,

[tex] \tt \: y_2= -4[/tex]

[tex]\tt y_1= - 5[/tex]

[tex]\tt x_2=6[/tex]

[tex] \tt \: x_1=6[/tex]

So Substitute their values accordingly:

[Important Note: Slope is denoted as m generally.]

[tex] \tt\implies \: m = \cfrac{ - 4 -( - 5)}{6 - 6} [/tex]

Now Simplify it.[Follow BODMAS Rule strictly while simplifying]

[tex] \tt \implies m = \cfrac{ - 4 + 5}{0} [/tex]

[tex]\tt \implies m = \cfrac{ 1}{0} [/tex]

Here, We can find that 1 is divided by 0.

We know that any expressions divided by 0 is undefined .

Hence, the slope[m] would be undefined.

[tex] \rule{225pt}{2pt}[/tex]

I hope this helps!

Let me know if you have any questions! :)

I am trying to solve this problem then simplify

Answers

6 is the correct answer

Answer:

3x^2+11x+6

Step-by-step explanation:

          3x       +2

x       3x^2      2x  

+3       9x         6

3x^2+9x+2x+6
=

3x^2+11x+6

How many gallons of 35% alcohol solution and 50% alcohol solution must be mixed to get 9 gallons of 40%
alcohol solution?

There needs to be____
gallons of 35 % alcohol solution and____
gallons of 50 % solution.

Answers

Answer:

There needs to be   6     gallons of 35 % alcohol solution

and    3     gallons of 50 % solution.

======================================================

Explanation:

x = number of gallons of the 35% solution

y = number of gallons of the 50% solution

The two amounts must add to 9 gallons, so x+y = 9

This solves to y = 9-x

Since we want 9 gallons of 40% alcohol solution, this means we want 0.40*9 = 3.6 gallons of pure alcohol.

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

0.35x = amount of pure alcohol from the first batch

0.50y = amount of pure alcohol from the second batch

0.35x+0.50y = total amount of pure alcohol

Set that expression equal to the 3.6 figure calculated earlier (the total amount of pure alcohol we're after) and we get this equation

0.35x+0.50y = 3.6

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

Next, we replace y with 9-x and then solve for x.

0.35x+0.50y = 3.6

0.35x+0.50(9-x) = 3.6

0.35x+4.5-0.50x = 3.6

-0.15x+4.5 = 3.6

-0.15x = 3.6-4.5

-0.15x = -0.9

x = -0.9/(-0.15)

x = 6

We'll need 6 gallons of the 35% solution

Use this x value to find y

y = 9-x

y = 9-6

y = 3

We'll also need 3 gallons of the 50% solution


The value of X is 36 degrees less than the value of y. Find the values of X and Y!!

Answers

Answer:

x=72, y=108

Step-by-step explanation:

y-36=x

[tex]\left \{ {{y-x=36} \atop {y+x=180}} \right.[/tex]

⇒ 2y=216

y=108

108-36=x

x=72
x+y=180--(1)x=y-36=>x-y=-36-(2)

Adding both

2x=144=>x=72

Put in eq(1)

y=180-72=108°

What is the percent difference in height between a building that is 600 feet tall and a tree that is 72

Answers

Answer:

730%

Step-by-step explanation:

600 - 72 = 528

528/72 = 7.3

7.3 * 100 = 730%

Will give Brainlist pls answer

Answers

Answer:

Negative

Step-by-step explanation:

From the number line we see that [tex]m[/tex] is negative and [tex]n[/tex] is positive

The expression in the parentheses, [tex](-m . n^2)[/tex] is positive since

[tex]-m[/tex] is the negative of a negative number and the sign of that is positive

[tex]n^2[/tex] is positive since a positive (or negative) number squared is always positive

[tex]\frac{m}{n}[/tex] is a negative number. If you divide a negative number, the sign of the result is negative

So evaluating the whole expression [tex]\frac{m}{n} .( m . n^2)[/tex]

gives us a negative number multiplied by a positive number and the result is a negative number

Puzzle Three
In order to complete the following puzzle you will need to use your
answers to fill in the questions that follow. For example your answer to
number one you will have to fill in for number two and so on. Be sure to
take your time as one mistake will mess up the entire puzzle.
1) (152 - 10) =
x
2)
(4x - 5) + 2x =
3) 7x +
x - 2x -x=
X
4) - 20
x + 4) + 5x =
x-
5) - (x+12) + 2(–3x + 4) = x -
Code: Find the mean of the following:
Mithin the 2019
Your answer
This is a required question

Answers

Step-by-step explanation:

hope this helps you!

-s.

PLEASE HELP ME
ILL MARK AS BRAIN LIEST!!!!!

Answers

Answer:

C 377

Step-by-step explanation:

I simply typed in "surface area of cone calculator" in chrome and did it that way, since there is quite a complex formula for finding it out on your own.

(This is the formula : pi * r^2 + pi * r * sqrt (r^2+h^2)

calculate the measure of each angle. find X

Answers

Solution:

Note that:

4x - 27 = 3x + 4 (Vertically opposite angles)

Using the equation (4x - 27 = 3x + 4), solve for x.

4x - 27 = 3x + 4=> -3x + 4x - 27 = 3x + 4 - 3x=> x - 27 = 4=> x - 27 + 27 = 4 + 27=> x = 31

The measure of x is 31.

Finding x

(4x-27)°=(3x+4)° [Vertically Opposite angles]

Solve for X ~

[tex] \bf4x - 27 = 3x + 4[/tex]

[tex] \bf \: 4x - 3x = 4 + 27[/tex]

[tex] \boxed{ \bf \: x = 31}[/tex]

Now, Finding each angle⤵️

[tex] \tt \: ∠1 = 2x + 21 \\ \tt \: = 2 \times 31 + 21 \\ \tt \: ∠1= 83 \degree[/tex]

[tex] \tt \: ∠2 = 4x + 27\\ \tt \: = 4\times 31 - 27 \\ \tt \: ∠2= 97 \degree[/tex]

[tex] \tt \: ∠3 = 3x + 4 \\ \tt \: = 3\times 31 + 4 \\ \tt \: ∠3= 97 \degree[/tex]

What’s the correct answer for this question?

Answers

Answer:

Slope = 3

y- intercept = (0, 10)

Step-by-step explanation:

the equation is given by y=mx+c where m is the slope

- At y-intercept, x is equal to 0

Therefore, y = 3(0) + 10

y = 0 + 10

y = 10

divide sh 810,000 among Sarah, John, Monica in ratio 4:3:2 respectively. ​

Answers

Answer:

Step-by-step explanation:

Let,4x,3x, and 2x be the share .

Now we have,

[tex]4x+3x+2x=810000\\\\9x=810000\\\\x=\frac{810000}{9} \\\\x=90000[/tex]

Again,

Share of Sarah=4x=4×90000=360000

Share of John=3x=3×90000=270000

Share of Monica=2x=2×90000=180000



What is the value of u?

Answers

Answer:

W/m²K                  by-step explanation:

A motorist covers distance of 180km in 3hours.calculate the speed at which the motorist was driving

Answers

Answer:

60 Km / hour

Step-by-step explanation:

average speed (S) is calculated as

S = [tex]\frac{D}{T}[/tex] ( D is distance and T time in hours )

here D = 180 and T = 3 , then

S = [tex]\frac{180}{3}[/tex] = 60 Km / hour

Jen traveled from Boston to Cape Cod at 60 mph. On her way back, the
traffic was bad and her return trip took 3 times as long. What was Jen's
average speed on the round trip?

Answers

Jen's average speed on the round trip will be 20mph

Distance and sped

The formula for calculating speed is expressed as:

Speed = Distance/Time

d = st

Let the time taken on Jen's way to Cape Cod  be "t"

The time taken back to Boston will be t + 3

d1 = 60t
d2 = 60(t+3)

Since he traveled the same distance to and fro, hence;

Average speed = 60/3

Average speed  = 20mph

Hence Jen's average speed on the round trip will be 20mph

Learn more on speed here: https://brainly.com/question/4931057

Answer:

30 mph

Step-by-step explanation:

What’s 106 divided by 4 showing answer as mixed number

Answers

Answer:

Step-by-step explanation:

106/4 = 26[tex]\frac{2}{4\\}[/tex] = 26[tex]\frac{1}{2}[/tex]

Hope this helps!

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