The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2)?

Answer:

here it is

Step-by-step explanation:

Simply divide 5 INTO 60.20 to get $ per hour.

Another way of saying this is divide $60.20 BY 5.

Answers: -0.5 m

here you go

Answer:

34.8 dollars

Step-by-step explanation:

multiply 29 by 1.2 to get the final answer

Answer:

P (Success) = 1/8

P (Failure) = 7/8

Step-by-step explanation:

It is provided that a spinner is divided into 8 equals sections and the sections are labeled 1 through 8.

Only one section is considered as success and the remaining seven are failures.

So, the probability of a success is,

P (Success) = 1/8

And the probability of a failure is,

P (Failure) = 7/8

Answer:

a

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

X is 17

Step-by-step explanation:

Answer:

8:9

Step-by-step explanation: the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

I hope this helps plz tell me if its wrong so i can fix it :)

Answer:

Angles 1 and 9 are corresponding angles

2 and 3 same side interior angles

8 and 12 are OTHER

6 and 12 are alternate interior

1 and 2 are linear pairs

15 and 11 are alternate interior

8 and 9 are same side interior

2 and 4 are corresponding

Step-by-step explanation:

Use the graph!

Brainliest??Hope it helped!

∠1 and ∠9 = Corresponding angles

∠2 and ∠3 = Same side interior angles

∠8 and ∠12 = Other

∠6 and ∠12 = Alternate interior angles

∠1 and ∠2 = Lineae pair

∠15 and ∠11 = Alternate interior angles

∠8 and ∠9 = Same side interior angles

∠2 and ∠4 = Corresponding angles

Answer:

A. 25, 22

B. machine 1

How much faster? MACHINE 1 fills 3 more cartons per minute than MACHINE 2

Step-by-step explanation:

Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled.

The equation of the graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill is -

y = [(100 - 50)/(4 - 2)]x

y = 25x

AND

y = 22x describes the rate at which Machine 2 can fill cartons.

So, we can write -

Machine 1's unit rate = 25

Machine 2's unit rate = 22

It is easily visible that Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

Therefore,

Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

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[Refer to image for complete question]

Answer:

y = -3 when x = 4

Step-by-step explanation:

2x-4y = 20

x = 4

2(4) - 4y = 20

8 - 4y = 20

-4y = 12

y = -3

Answer:

in scientific notation it is − 32x+4.00054

Step-by-step explanation:

thats all i know

Answer:

the answer is we dont know cuz theres no question

ok then it should be the bag wit 8lb

Answer:

Obviously, it's the 8lb bag of dog food because it's the cheapest, but it may vary with the type of animal (a dog in this case).

Answer:

[tex]\huge\boxed{3 = 57 \textdegree}[/tex]

[tex]\huge\boxed{4 = 33 \textdegree}[/tex]

Step-by-step explanation:

When two angles are complementary, their angle lengths add up to 90°.

Therefore, we can make the equation

[tex](x+24) + (x) = 90[/tex]

Now we can solve for x.

Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.

We also have the expression for ∠3, [tex]x+24[/tex]. Since we know x is 33, we can substitute it into the expression.

[tex]33+24\\\\57[/tex]

Hope this helped!

Answer:

a. The equation is y = 19 x

b. The height of 13 DVD cases is 247 mm

Step-by-step explanation:

- A proportional relationship is about two quantities vary directly with

each other

- Ex: If y proportion to x, then y is varies directly with x

 That means y ∝ x ⇒ y = k x, where k is the constant of variation

- The height of a stack of DVD case is proportional to the number of

 case in the stack

- That means the height of DVD cases varies with the number of cases

- The height of 6 DVD case is 114 mm

a.

∵ The number of cases = x

∵ The height of the cases = y

∴ y ∝ x

∴ y = k x

- To find k lets use the first information above

∵ y = 114 mm when x = 6

- Substitute these values in the equation above to find k

∵ 114 = 6 k

- Divide both sides by 6

∴ k = 19

- Substitute the value of k in the equation above

∴ y = 19 x

* The equation is y = 19 x

b.

- We need to find the height of 13 DVD cases

∵ y = 19 x

∵ x = 13

- Substitute the value of x in the equation

∴ y = 19 × 13

∴ y = 247 mm

* The height of 13 DVD cases is 247 mm

The height will be 143 mm for a stack of 13 DVD cases.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The overall height of the 8 cases stacked on top of each other is 88 mm.

Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):

⇒ 88/ 8 = 13

⇒ 88 ÷ 8 = 13

Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:

11 × 13= 143

Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.

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The question seems to be incomplete the correct question would be:

The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.

The height of the 8 cases stacked on top of each other is 88 mm.

Answer:

[tex]\frac{1}{60}[/tex]

Step-by-step explanation:

Problem:

 The possible values of x in the equation (60)x = 1;

Solution:

Such a problem like this in which the highest power of the unknown is 1 will have just one solution.

       60x  = 1

To solve this, we take the multiplicative inverse of 60;

   the multiplicative inverse of 60 = [tex]\frac{1}{60}[/tex]

   Use this inverse to multiply both sides of the expression;

         [tex]\frac{1}{60}[/tex] [tex]x[/tex]  60x  = 1 x [tex]\frac{1}{60}[/tex]

                   x  = [tex]\frac{1}{60}[/tex]

Answer:

x=+17

Step-by-step explanation:

6x+7=8x-27

We move all terms to the left:

6x+7-(8x-27)=0

We get rid of parentheses

6x-8x+27+7=0

We add all the numbers together, and all the variables

-2x+34=0

We move all terms containing x to the left, all other terms to the right

-2x=-34

x=-34/-2

x=+17

Answer:

65

Step-by-step explanation:

you add all the numbers inside.

80+35= 115

You have to make sure it equals to 180 to find angle 1.

Therefore, 180-115=65.

Answer:

160

Step-by-step explanation:

... ...... ..

....i

Answer  It should be 40%

Answer:

There are so many ways! Do want me to help?

Step-by-step explanation:

Answer:

One pair of jeans costed 18.64

Step-by-step explanation:

37.28 divided by 2.

Answer:

B.

Step-by-step explanation:

The answer is B since it cost $3 for 5, it would be $6 or double for 10.

Answer:

B. $6

Step-by-step explanation:

3 divided by 5 = 0.6

0.6 multiplied by 10 = $6

(I might be wrong. Sorry if I am. Don't get mad at me)

Hope I helped :)

Please consider Brainliest :)

Answer:

See belolw

Step-by-step explanation:

[tex]P=53\text{ft}[/tex]

[tex]P = a+b+c[/tex]

[tex]53=2x-15+x+1+3x-29[/tex]

[tex]53=6x-43[/tex]

[tex]96=6x[/tex]

[tex]x=16[/tex]

[tex]a=2x-15[/tex]

[tex]a=2(16)-15[/tex]

[tex]\boxed{a=17}[/tex]

[tex]b=x+1[/tex]

[tex]b=16+1[/tex]

[tex]\boxed{b=17}[/tex]

[tex]c=3x-29[/tex]

[tex]c=3(16)-29[/tex]

[tex]\boxed{c=19}[/tex]

Answer:

1. x=16, a=17, b=17, c=19

2. k=-2

Step-by-step explanation:

1.

We can set up an equation where all the labeled sides add up to 53, and then find x:

(2x-15)+(x+1)+(3x-29)=53

6x-43=53

6x=96

x=16

Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:

a=2(16)-15=17

b=16+1=17

c=3(16)-29=19

2.

Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:

[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]

Answer:

There are 50 full-time and 25 part-time employees in the company.

Step-by-step explanation:

Total number of employee in the company = 75

Employee's records to be audited = 50

Number of audited record = 75 - 50

                                            = 25

Records of employees to be audited = 50

Since half of the full-time employee's records has been audited after 3-days, then the number of full-time employee = number of audited record x 2 = 25 x 2

                                                  = 50

The number of part-time employee's in the company = 75 - 50

                                                  = 25

There are 50 full-time and 25 part-time employees in the company.

-86 is the value of -8a-b when a = 10 and b = 6.

An expression is combination of variables, numbers and operators.

The given expression is -8a-b

a and b are the variables in the given expression.

Minus is the operator of subtraction in the expression.

The value of a is given as 10 and b is 6.

Now we have to substitute the values of a and b in expression.

-8(10)-6

Eight times of ten is eighty

-80-6

Minus eighty minus six is minus eighty six.

-86

Hence, -86 is the value of -8a-b when a = 10 and b = 6.

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Answer:

3.75

Step-by-step explanation:

Answer:

$8.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

If you divide both the numerator and the denominator by 3 you'll get 3 over 4.