Five workers together can build a road in 20 days. Suppose every worker works at the same rate. Three workers work on the road for 10 days before eleven more workers join them. How much longer will it take the fourteen workers to finish the road?

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

               Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

❖ If lines are parallel to each other, they have the same slope.

So the slope of the line parallel to y-5=6x-10 is 6.

Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Substitute 10 for y₁, 6 for m and 4 for x₁:-

[tex]\sf{y-10=6(x-4)}[/tex]

On simplification,

[tex]\sf{y-10=6x-24}[/tex]

Adding 10 to both sides results in:-

[tex]\sf{y=6x-14}[/tex]

So we conclude that Option A is correct.

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Answer:

1) Draw the figure; make sure angle C is obtuse.

(2) There are two right triangles -- ADC and ADB.

(3) Let CD=x and AD=y; use the Pythagorean Theorem to form two equations in x and y.

4) Solve the pair of equations. The x^2 and y^2 terms cancel, leaving you with a linear equation in x which is easily solved to find the answer.

So, The length of CD will be 25/6 = 4.17

If the triangle ABC is enlarged using the point P as a center, then the point of the dilated triangle will be A'(-3, 2), B'(1, 2), and C'(-1, -2).

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The coordinate of point P will be (5, 4).

Let shift the origin at P, then the coordinate of ABC will be

A(-4, -1), B(-2, -1), and C(-3, -3)

If the scale factor is 2. Then the coordinate of the triangle A'B'C' will be

A'(-8, -2), B'(-4, -2), and C'(-6, -6)

Then shift the origin at (0, 0), then the coordinate of A'B'C' will be

A'(-3, 2), B'(1, 2), and C'(-1, -2)

The graph is shown below.

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Answer: This answer is non-linear.

Step-by-step explanation:

The problem [tex]y=\frac{1}{x}[/tex]  has Vertical Asymptotes,

Horizontal Asymptotes,

and No Oblique Asymptotes making, [tex]y=0[/tex]  and [tex]x=0[/tex].

A linear function is a form of [tex]y=mx+b[/tex].

This answer would be non-linear

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Answer:

this cannot be factored since nothing shares factorable groups/values

Step-by-step explanation:

hope this helps:)

Answer:

1 hot dog = $1.50 each

1 hamburger = $1.75 each

Step-by-step explanation:

Answer:

The prices must be $1.50 and $1.75

Step-by-step explanation:

For instance, seven hot dogs and two hamburgers cost $14: 7D+2B=14

We also know that two hot dogs and seven hamburgers cost $15.25: 2D+7B=15.25

Now, if we combine these two equations, we have a system where EVERYTHING has to be true at the same time 

7D+2B=14

2D+7B=15.25

From here there are a couple trick you should know to solve a system of equation, especially substitution and elimination. I see a coefficient of 2, so I'd rather use substitution by dividing the entire first equation in half:

3.5D+B=7

Now I'll solve for B

B=7-3.5D

Now that I've solved for a variable, I can substitute the solution into the other equation

2D+7(    B   )=15.25

becomes

2D+7(7-3.5D)=15.25

Now I can distribute and solve for D:

2D+49-24.5D=15.25

22.5D=33.75

D=1.5

Now we can replace D from either (or both) of our original equations and see what B has to be

7(1.5)+2B=14

10.5+2B=14

2B=3.5

B=1.75

2(1.5)+7B=15.25

3+7B=15.25

7B=12.25

B=1.75

The prices must be $1.50 and $1.75. The most important part of all this is setting up the equations, the rest is just being careful with your calculations.

Answer: The function h because the graphs of f and h are symmetrical about the line y=x.

Answer:

[tex]1 + 1 = 2[/tex]

Step-by-step explanation:

1 + 1 is equal to 2 because it is- at least that's what we believe the answer to be. It doesn't have to, but it is just what we as humans have come to recognize because it is internationally accepted.

Heck, you don't need to be a genius to understand that when you inherently have exactly one more of a thing, you have more of it. Numbers are just a way to represent more (or less if we're talking negatives). Now, we'll probably never understand why mathematics is so beautifully synchronized with our world, but it is, and we as a sentient species have come to recognize that for the longest time.

Numbers are abstract, as long as you are consistent, anything can be a number if you give it value. [tex]1+1[/tex] doesn't have to equal [tex]2[/tex], if we wanted we could make it equal to [tex]:)[/tex]. [tex]1 + 1 =\ :)[/tex]

Whether we are solving basic algebra:

[tex]:)x + 4 = 10\\:)x = 6\\x = \frac{6}{:)} =3[/tex]

Or calculating integrals:

[tex]\int\limits^{0.5}_{0} {8xe^{:)x}} \, dx\\= \frac{xe^{:)x}}{:)}-\int\limits{\frac{e^{:)x}}{:)}} \, dx\\= 4xe^{:)x} - :)e^{:)x} + C = (4x-:))e^{:)x} + C\\=(4x-:))e^{:)x}|^{0.5}_{0}\\= (4(0.5)-:))e^{:)(0.5)} - (4(0)-:))e^{:)(0)}\\= :)[/tex]

[tex]1+1[/tex] will always be whatever [tex]1+1[/tex] is.

Hopefully, I didn't get too philosophical lol.

The next term of the given sequence using first and second differences is; 104

We are given the sequence as;

8, 11, 19, 35, 62,.....

Thus, using the first and second differences, we have the sequence pattern as;

8          11            19           35               62         104

    3            8            16            27               42

            5           8             11             15

                   3            3             4

From the above pattern, we can see that the next term of the sequence is 104

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Answer:

las negras, 1/3 es mayor

Step-by-step explanation:

Espero te sirva <3

Answer:

$803

Step-by-step explanation:

17 + 33 + 23 = 73

73 * 11 = 803

Answer:

36

Step-by-step explanation:

So, taking 12 inches and 18 inches, we can figure out where they both meet. To do this, you want to change these number into a fraction (12/18). Simplifying this gives you 2/3. So if you flip this fraction (3/2) and then use these number and multiply them with the first numbers (so we do 3*12 and 2*18, they both equal 36, so they would both meet at 36, our final answer. they would also meet at 72, 108, 144, etc. if you were to keep going.

Answer:

B

Step-by-step explanation:

Answer:

$ 199.56 per sq ft

Step-by-step explanation:

price / ft^2    =    450 000 / 2255 = 199.56

Answer:

Step-by-step explanation:

The formula to calculate the area of a circle is

[tex]A =\pi r^2[/tex]

This means that if [tex]r = 5 "cm"[/tex], the area is

[tex]A = 5^2\pi " cm"^2 = 25 \pi " cm"^2 =(estimation) 78.539816 " cm"^2[/tex]

Answer:

See below

Step-by-step explanation:

We are given that a circle has a radius of 5 cm

We want to find the area of this circle

The area of a circle is given as [tex]\pi r^{2}[/tex], where r is the radius

As stated above, the radius of this circle is 5; ergo, r =5

We can substitute 5 as r in the formula

A = [tex]\pi r^{2}[/tex]

A = [tex]\pi (5)^{2}[/tex]

Raise 5 to the 2nd power

A = π * 25

A = 25π cm²

If you need your answer in terms of pi (or as an exact answer), the answer would be 25π cm² (don't forget your units!)

However, if your system wants pi approximated, see below:

If your system wants pi to be used as 3.14, then multiply 25 by 3.14; 25 * 3.14 = 78.5 cm²

If your system wants pi to be used as 22/7, then multiply 25 by 22/7; 25 * 22/7 ≈ 78.57 cm²

Answer:

ROI = 10.00%

Step-by-step explanation:

Investment Gain = $300.00

ROI = 10.00%

Annualized ROI = 21.00%

Investment Length = 0.50 years

Answer:

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

Step-by-step explanation:

1) Simplify [tex]\frac{47}{6}m[/tex] to  [tex]\frac{47m}{6}[/tex]

[tex]\frac{47m}{6}+n-\frac{7}{2}m-\frac{6}{5}n[/tex]

2) Simplify [tex]\frac{7}{2}m[/tex]  to [tex]\frac{7m}{2}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6}{5}n[/tex]

3) Simplify  [tex]\frac{6}{5}n[/tex]  to[tex]\frac{6n}{5}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6n}{5}[/tex]

4) Collect like terms.

[tex](\frac{47m}{6}-\frac{7m}{2})+(n-\frac{6n}{5})[/tex]

5) Simplify.

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

Answer:

2/6 chance of landing on 2 or 3

Step-by-step explanation:

Answer:

An Acre is a propduct of any rectangular plot of land giving a total of 4,046sqm OR 43,560sq ft. An Acre consist of 6 plots each measuring 6 x 120ft. In Lagos State, the standard size of a plot is 60 x 120ft (18m x 36m ie 648sqm), while in some other cities of the country, plots are measured in 50 x100ft.

Step-by-step explanation:

Answer:

[tex](x + 2.3)^{2} + y^{2} = \frac{36}{49}[/tex]

Step-by-step explanation:

To get the equation of a circle, plug your information into this equation:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Therefore, the equation of this circle is:

[tex](x + 2.3)^{2} + y^{2} = \frac{36}{49}[/tex]

Answer:

There are no factors.

Step-by-step explanation:

x²+27x+49​ is prime.

The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle = 56 km²

Find the area of each shape that make up the figure, then add up to get the area of the composite figure.

The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle

Area of rectangle 1 = (length)(width) = (6)(3) = 18 km²

Area of rectangle 2 = (length)(width) = (7 + 3)(2) = 20 km²

Area of triangle = 1/2(base)(height) = 1/2(10 - 4)(6) = 18 km²

The area of the composite figure = 18 + 20 + 18 = 56 km²

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Answer:

-3x+9y=-57

Substitute the x for 4

-3(4)+9y=-57

-12+9y=-57

Add +12

-12+9y=-57

+12 +12

9y=-45

Now divide the 9 to get y by itself

9y=-45

÷9 ÷9

y=-5

So the value of y is -5

☆anvipatel77☆

•Expert•

Brainly Community Contributor

The net profit on the Income Statement based on the balance sheet given will be 21.

The net profit will be calculated thus:

Revenue = 170

Less coat of sales = 103

Less salaries= 30

Operating income = 30

Less interest = 12

Income before tax = 25

Less Income tax = (10% × 37) = 3.7

Net profit = 21.3 = 21

Therefore, the net profit on the Income Statement based on the balance sheet given will be 21.

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Answer:

42 sq ft.

Step-by-step explanation:

[tex]A=w *l[/tex]

[tex]A=14 *3=42[/tex]

=42 sq ft

(note: i dont think it matters how you put the numbers, they still mulitply up to 42)

Hope this helped

~rere

Answer:

b

Step-by-step explanation:

7w^2-18w/w^2-5w+6

The simplest form of the expression is 7w/w^2+6, the correct option is A.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

4w/w-2 + 3w/w-3

Now,

we can multiply the numerator and denominator by the missing factor. For example

w−24w​=(w−2)(w−3)4w(w−3)​

w−33w​=(w−2)(w−3)3w(w−2)​

Add the fractions with the LCD as the common denominator. To do this, we can add the numerators and keep the denominator. For example:

w−24w​+w−33w​=(w−2)(w−3)4w(w−3)+3w(w−2)​

Simplify the numerator by distributing and combining like terms. For example:

(w−2)(w−3)4w(w−3)+3w(w−2)​=(w−2)(w−3)4w2−12w+3w2−6w​

(w−2)(w−3)4w2−12w+3w2−6w​=(w−2)(w−3)7w2−18w​

=7w/w^2+6

Therefore, by the given expression the answer will be 7w/w^2+6.

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Hey there!

[tex] \displaystyle \blue{\boxed{\green{\bold{v = 8}}}} [/tex]

[tex] \\ [/tex]

-5v + 6 = -12v + 62

[tex] \\ [/tex]

▪️Subtract 6 from both sides :

-5v + 6 - 6 = -12v + 62 - 6

-5v = -12v + 56

▪️Add 12v to each side :

-5v + 12v = -12v + 56 + 12v

7v = 56

▪️ Divide both sides by 7 :

7v / 7 = 56 / 7

v = 8

[tex] \\ [/tex]

Therefore, our answer is v = 8.

[tex] \\ [/tex]

▪️ Learn more about solving equations:

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Answer:

v = 8

Step-by-step explanation:

Hello!

We can solve the equation by moving all terms of V to one side, and all integer values to the other.

The value of v is 8.

We can plug back 8 into the original to check our answer:

Since both sides match, the solution of v = 8 is correct.