Prove that the lines x+y=5, 2x–y=16 and x+2y=3 intersect at one point. What are the coordinates of this point?

Answer:

See below. An example is C = 0.2s.

Step-by-step explanation:

You can write an expression to represent any situation. Harlan makes a commission which is usually a percentage of the price. For example, if Harlan earns 20% on each purchase then when he sells a $100 he earns $20 of commission. For any price or cost on shoes s, this would be 0.2s. His commission C = 0.2s.

The real numbers between -4 and 6 are -3, -2, -1, 0, 1, 2, 3, 4, and 5.

The question asks for all real numbers between -4 and 6. In this case, the numbers between -4 and 6 are -3, -2, -1, 0, 1, 2, 3, 4, and 5.

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Answer:

12%

Step-by-step explanation:

3/25 x 100 = 12

Answer:12%

Step-by-step explanation:

3/25 * 100 ☺

The survey is biase because it is only surveying shoppers that have registered on the website,.

Answer:

[tex]x^{2}-\frac{5\sqrt{3}}{2}x+3[/tex]

Step-by-step explanation:

we know that

The quadratic equation is equal to

[tex](1)(x-\frac{\sqrt{3}}{2})(x-2\sqrt{3})\\ \\=x^{2} -2\sqrt{3}x-\frac{\sqrt{3}}{2}x+3\\ \\=x^{2}-\frac{5\sqrt{3}}{2}x+3[/tex]      

Answer:

y = 5x

Step-by-step explanation:

20 = 5(4)

20 = 20

Since they directly vary, this is a linear equation, and the slope is 5.

y = mx + b

y = 5x + b

20 = 20 + b

b = 0

So the equation is

y = 5x

Answer:

$618.80

Step-by-step explanation:

If the tablet is on sale for 15% off, you pay 85% of the original price.

85% of $700 is

700(0.85) = $595

You pay 4% sales tax on $595, which is

$595(0.04) = $23.80

The total cost you pay is $595 + $23.80 = $618.80

Answer:

57 in²

Step-by-step explanation:

S=1/2*8*3=12

4s+9=4*12+9=57

5×4 is 20. So I figure 9×4 is 36. 36 minutea

Answer: 20 minutes

Step-by-step explanation:

Imagine that each person is assigned one wall, and all 5 people begin painting at the same time.

Since everyone will finish painting their assigned wall after 20 minutes, it takes one person 20 minutes to paint one wall.

If we have 9 people and 9 walls, we can again assign one wall to each person.

Everyone will take 20 minutes to paint their assigned wall.

In other words, it takes 20 minutes for 9 people to paint 9 walls.

Answer:

8n³ + 10n² - 13n - 15

Step-by-step explanation:

Distribute the factors by multiplying each term in the first factor by each term in the second factor, that is

4n(2n² + 5n + 3) - 5(2n² + 5n + 3) ← distribute both parenthesis

= 8n³ + 20n² + 12n - 10n² - 25n - 15 ← collect like terms

= 8n³ + 10n² - 13n - 15

Answer:

[tex]\large\boxed{(2n^2+5n+3)(4n-5)=8n^3+10n^2-13n-15}[/tex]

Step-by-step explanation:

[tex]\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2n^2+5n+3)(4n-5)\\\\=(2n^2)(4n)+(2n^2)(-5)+(5n)(4n)+(5n)(-5)+(3)(4n)+(3)(-5)\\\\=8n^3-10n^2+20n^2-25n+12n-15\\\\\text{combine like terms}\\\\=8n^3+(-10n^2+20n^2)+(-25n+12n)-15\\\\=8n^3+10n^2-13n-15[/tex]

The correct option is B.

The exact circumference of a circle with radius X/2 miles is Xπ miles.

To find the circumference of a circle, we use the formula: Circumference (C) = 2πr, where r is the radius of the circle. Given that the radius is X/2 miles, we substitute this value into the formula:

C = 2π × (X/2)

  = Xπ miles

Therefore, the exact circumference of the circle with radius X/2 miles is Xπ miles.

The correct answer is B) xπ miles.

In summary, to find the circumference, we simply multiply the radius (X/2) by 2π, which gives us Xπ miles. This answer aligns with option B) xπ miles.

The complete question is here:

Find the exact circumference of a circle with the given radius.

X/2 miles

C = _____

A) ¼xπ miles

B) xπ miles

C) 2xπ miles

Answer:  320

Step-by-step explanation:

Coterminal means it is in the same place on the Unit Circle but with one or more rotations clockwise or counterclockwise.

Note: one rotation is 360°

-760 + 360 = -400

                     -400 + 360 = -40

                                           -40 + 360 = 320  

320 is between 0 and 360 so this is the angle we are looking for!

Answer:

Step-by-step explanation:

The standard form of an equation of a circle:

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

(h, k) - center

r - radius

We have:

[tex](x-2)^2+(y+3)^2=9\\\\(x-2)^2+(y-(-3))^2=3^2[/tex]

a) center (2, -3)

b) radius r = 3

c) in the attachment

The answers are:

The equation of a circle centered in the point (a, b) of radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Then for the equation:

(x-2)^2+(y+3)^2 = 9 = 3^2

We can see that:

a) The center is the point (2, -3)

b) The radius is R = 3, and the diameter is twice the radius, so it is equal to 6.

c) The graph can be seen below:

If you want to learn more about circles, you can read:

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6.75 feet is the actual height of the horse

Tim is 9 years old, and Amy is 18 years old. We found this by dividing 54 by 6 and 3 respectively, based on the given equations 6T = 54 and 3A = 54.

To solve the problem involving Tim and his sister Amy's ages, we need to set up equations based on the information given. The problem states that six times Tim's age is 54 and that three times Amy's age is also 54.

Let's let T represent Tim's age and A represent Amy's age. We can set up the following two equations based on the problem:

To find Tim's age, we divide both sides of the first equation by 6:

T = 54 / 6

T = 9

So, Tim is 9 years old.

To find Amy's age, we divide both sides of the second equation by 3:

A = 54 / 3

A = 18

So, Amy is 18 years old.

Answer:

20

Step-by-step explanation:

So to get 20 all you had todo was multiply 20,000 by 0.001, because milliliters converted into liters is 1 milliliter= 0.001 liters.

Answer:

20 Liters

Step-by-step explanation:

One way to look at it is that there are 1000 mL in one L.  But I think a better way in general for  unti conversions is to do it like this.

20000 ml * [tex]\frac{1L}{1000 mL}[/tex] Where you can just cancel out the units.  Hopefully it made sense.  If you were converting from L to ml you would use [tex]\frac{1000 mL}{1 L}[/tex]

Answer:

x³+y³=4697

Step-by-step explanation:

x+y=11

y=11-x

325=x²+y²

=x²+(11-x)(11-x)

=x²+121-11x-11x+x²

325=2x²-22x+121

0=2x²-22x-204

=(2x+12)(x-17)

0=2x+12 or 0=x-17

-12=2x 17=x

-6=x

y=11-x

y=17 or -6

(-6,17) or (17,-6)

=x³+y³

=(-6)³+(17)³

=4697

Answer:

F

Step-by-step explanation:

Each vertex of ABCD corresponds to the vertex of EFGH in the same position.

Parallelogram ABCD is similar to parallelogram EFGH.

Vertex A corresponds to vertex E.

Parallelogram ABCD is similar to parallelogram EFGH.

Vertex B corresponds to vertex F.

Parallelogram ABCD is similar to parallelogram EFGH.

Vertex C corresponds to vertex G.

Parallelogram ABCD is similar to parallelogram EFGH.

Vertex D corresponds to vertex H.

Final answer:

To find out how many hours Jorge volunteers on Saturday, we multiply his Wednesday volunteer hours of 2/3 hour by 5, which gives us 10/3 hours or 3 1/3 hours.

Explanation:

If Jorge volunteers for 2/3 hour at the animal shelter on a Wednesday and volunteers 5 times as many hours on Saturday, we can calculate the hours he volunteers on Saturday. First, multiply the time he volunteers on Wednesday by 5:

2/3 hour × 5 = 10/3 hours, which is equivalent to 3 1/3 hours or simply 3.33 hours when converted to decimal form.

Therefore, Jorge volunteers 3 1/3 hours or 3.33 hours on Saturday at the animal shelter.

Answer:

Time the stone fall in the air = 7 seconds

Time it fall in the water = 5 seconds

Step-by-step explanation:

Given in the question,

speed of stone in the air = 16 m/s

speed of stone in the water = 3m/s

The total distance from the top of the cliff to the seabed = 127 m

the total time it took to hit the seabed = 12 s

Suppose time took to hit the water = x

so the time took from top of water to seabed = 12 - x

Formula to use

127 = 16x +  3(12-x)

127 = 16x + 36 - 3x

127 - 36 = 16x - 3x

91 = 13x

x = 91/13

x = 7 seconds

12 - x = 12 - 7 = 5 seconds

[tex]OA=OD=AD=R\Rightarrow \bigtriangleup OAD\: is\: an\: equilateral\: triangle \\ \Rightarrow \widehat{AOD}=\widehat{OAD}=\widehat{ODA}=60° \\ \widehat{ABD}= \frac{\widehat{AOD}}{2} = \frac{60°}{2} = 30°[/tex]

Answer:

Step-by-step explanation:

Given: AD≅AO

To find: m∠OAD and m∠DBA.

Solution: It is given that AD≅AO, and also OA≅OD (Radius of circle), therefore ΔAOD is an equilateral triangle.

Hence, m∠OAD=m∠ODA=m∠AOD=60°.

Now, we know that the intercepted angle is half of the central angle, thus

[tex]m{\angle}DBA=\frac{m{\angle}AOD}{2}[/tex]

⇒[tex]m{\angle}DBA=\frac{60^{\circ}}{2}[/tex]

⇒[tex]m{\angle}DBA=30^{\circ}[/tex]

Hence, the measures of [tex]{\angle}OAD[/tex] and [tex]{\angle}DBA[/tex] are [tex]60^{\circ}[/tex] and  [tex]30^{\circ}[/tex] respectively.

Answer:

$14

Step-by-step explanation:

This should be simple, if ray earns $11 more, than hunter earns $25-$11, or $14

To find out how much Hunter earns, we subtract the $11 that Ray earns extra from Ray's total earning of $25, resulting in Hunter earning $14.

The student has asked a question regarding how much Hunter earns if Ray earns $25 which is $11 more than Hunter. To solve this, we subtract $11 from Ray's earnings to find Hunter's earnings:

Therefore, Hunter earns $14.

Answer:

y =  x+5

Step-by-step explanation:

you cant times it by anything but 1 so x then how much does it go up by 5 so y= x+5

Answer:

1 , 5

Step-by-step explanation:

Answer:

-10416.

Step-by-step explanation:

This is a Geometric Series with first term 4 and common ratio -5.

Sum of 6 terms = a1 .  (r^6  - 1 )/ ( r - 1)

= 4 *( (-5)^6 - 1) / (-5-1)

= -10416  (answer).

Answer:

-10416

Step-by-step explanation:

Answer:

I would say

earned $25 is positive

0 feet below see level is negative

4 degrees below zero is negative

Step-by-step explanation:

Answer:

y= -2x-1

Step-by-step explanation:

In solving, find the gradient from coordinates given , then use the gradient with one of the pairs to find the equation in form of y=mx+c

finding the gradient

points(-2,3) and (1,-3)

m=change in y/change in x

change in y=-3-3=-6

change in x=1--2=3

m=-6/3 =-2

taking the coordinates (1,-3) and (x,y), the equation will be

y=mx+c, where m=-2

(y--3)/(x-1) =-2

(y+3)/(x-1)= -2

(y+3) = -2(x-1)

y+3=-2x+2

y=-2x+2-3

y= -2x-1

Answer:

(1, 5)

Step-by-step explanation:

You need a point in the shaded region that is not on the line of the graph.

The points can't be on the line because the line is a dotted line, which means there is either a < or > sign in the inequality, so the solutions are strictly less than or greater than the values on the line.

 Points A and B are on line so they aren't solutions.

Point (5, -5) is below the line, so that isn't a solution for this equation either

Point (1, 5) is in the shaded region, so it's a solution

Answer:

7*9-7*4

63-28

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

multiply each number in the parenthesis by the 7 outside

7(9 - 4)

= (7 × 9) + (7 × - 4) = 63 + ( - 28) = 63 - 28 = 35

Answer:

84

Step-by-step explanation:

3 times 4= 12

12 times 7= 84