For how many games is the total cost of bowling equal for the two bowling establishments? Family bowling, game $4, shoes $1. Knight owl bowling, game $3.75, shoes $2.

Answer:

a = - 1

Step-by-step explanation:

Given the points are equidistant from A then AP = AQ

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = P(3, - 3)

AP = [tex]\sqrt{3-0)^2+(-3-a)^2}[/tex] = [tex]\sqrt{3^2+(-3-a)^2}[/tex] = [tex]\sqrt{9+(-3-a)^2}[/tex]

Repeat with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = Q(- 2, 2)

AQ = [tex]\sqrt{(-2-0)^2+(2-a)^2}[/tex] = [tex]\sqrt{(-2)^2+(2-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex]

Equating AP and AQ

[tex]\sqrt{9+(-3-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex] ( square both sides )

9 + (- 3 - a)² = 4 + (2 - a )² ← expand parenthesis on both sides

9 + 9 + 6a + a² = 4 + 4 - 4a + a² ( subtract a² - 4a from both sides )

18 + 10a = 8 ( subtract 18 from both sides )

10a = - 10 ( divide both sides by 10 )

a = - 1

The value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1.

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

A(0,a) is equidistant from P(3,-3) and Q(-2,2).

It is required to find the value of a:

Using the distance formula:

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AP = AQ

[tex]\rm \sqrt{(3-0)^2+(-3-a)^2} = \sqrt{(-2-0)^2+(2-a)^2}[/tex]

After simplification:

9 + (3 + a)² = 4 + (2 - a)²

9 + 9 + 6a + a² = 4 + 4 - 4a + a²

18 + 10a = 8

10a = - 10

a = - 1

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

Thus, the value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1

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Answer:

1,582.25 kilogramos

Step-by-step explanation:

Para determinar los kilogramos de maíz que lleva el camión, se debe multiplicar el peso de los dos tipos de bultos que lleva por la cantidad de cada uno y sumar estos valores para obtener la respuesta:

(20.5*32)+(48.75*19)=656+926.25=1,582.25

De acuerdo a esto, el camión lleva 1,582.25 kilogramos de maíz.

Answer:

There are a total of 720 chairs in the theater

Step-by-step explanation:

First row = 20 chairs

Second row = 24 chairs

Third row = 28 chairs

The given is an arithmetic progression (A.P)

First term

a = 20

Common difference

d = 4

Number of terms

n=15

Sum of the chairs in the theater with a total of 15 rows

Sum of an A.P = n/2 { 2a + (n-1) d}

= 15/2{ 2*20 + (15-1) 4}

= 7.5 { 40 + (14) 4 }

= 7.5 { 40 + 56}

= 7.5(96)

=720 chairs

Answer:

None of the above

Step-by-step explanation:

-5/2 is not equal to 5/2

5/2 - 39/8 = -19/8

if you calculate the two options you will see that none of them is equal to -19/8

Answer:

x = 4 + √3 and  x = 4 − √3

Step-by-step explanation:

(a−b)^2=a^2−2ab+b2

a^2−b^2=(a−b)(a+b)

−2x^2+16x−26

=−2(1x^2−8x+13)

=−2(x^2−8x+13+3−3)

=−2(x^2−8x+16−3)

=−2(x^2−2(4)x+4^2−3)

=−2((x−4)^2−3)

=−2((x−4)^2−(√3)^2)

=−2((x−4)−√3)((x−4)+√3)

=−2((x−(4+√3)((x−(4−√3))

The zeros of the given algebraic expression are:

−2x^2+16x−26=0

−2((x−(4+√3)((x−(4−√3))=0

x = 4 + √3 and  x = 4 − √3

I strongly suggest using the quadratic formula as this problem is much easier to solve using it.

x = (−b ± [tex]\sqrt{b^{2}-4ac }[/tex] ) / 2

Answer:

[tex]\huge\boxed{(3, 8)}[/tex]

Step-by-step explanation:

When we rotate a point 90° counterclockwise around the origin, it's the same as rotating it 270° clockwise around the origin.

When we rotate something 270° clockwise around the origin, the original coordinates (x, y) becomes (-y, x).

y is -3, and -(-3) is just 3, since two negatives make a positive.

x just remains x, but it's in a different position.

This makes the new coordinate [tex](3, 8)[/tex].

Hope this helped!

Answer:

Step-by-step explanation:

-4 - 11 = -15

Answer:

I think its rational

Step-by-step explanation:

Answer: 0.35 is rational! :D Hopefully this will help others as well!

Step-by-step explanation:

Answer:

Hope it will help you :)

Step-by-step explanation:

d-6<-0.5

Adding 6in both sides to find out the value of d

d-6+6<-0.5+6

d<5.5

Solution set={d/d<5.5}

Answer:

$278.40

Step-by-step explanation:

Note: "...an additional 10% off any shoe item, once the first discount has been applied." (emphasis added).

Note that the customer is buying 3 pairs of shoes for $120 each: 120 x 3 = $360

The first discount is the 20% discount  (on every single item), the second discount is the 10% discount coupon of of any item (which signifies one item only).

Solve for the first discount:

$360 x 0.20 = $72

$360 - 72 = $288.

Next, divide $288 by 3 (to get the individual prices of the shoes:

$288/3 = $96.

The customer then uses a birthday coupon for one of the shoes, which gives an additional 10% off.

$96 x 0.10 = 9.6

$96 - 9.6 = $86.4

Remember, the other two shoes still cost $96 each. Add the price together:

$96 + $96 + $86.4 = $278.40

$278.40 will be the total.

~

Answer:

278.40

Step-by-step explanation:

Answer:

x = 8                          x = 2

Step-by-step explanation:

1+3|x-5|=10

Subtract 1 from each side

1-1+3|x-5|=10-1

3|x-5|=9

Divide by 3

3/3|x-5|=9/3

|x-5|=3

There is a positive and negative solutions

x-5 =3            x-5 = -3

Add 5 to each side

x-5+5 = 3+5           x-5+5 = -3+5

x = 8                          x = 2

Answer:

[tex]x=2,8[/tex]

Step-by-step explanation:

So we have the equation:

[tex]1+3|x-5|=10[/tex]

First, subtract 1 from both sides:

[tex]3|x-5|=9[/tex]

Now, divide 3 from both sides:

[tex]|x-5|=3[/tex]

Definition of absolute value:

[tex]x-5=3\text{ or }x-5=-3[/tex]

For the left, add 5 to both sides.

For the right, add 5 to both sides:

[tex]x=3+5\text{ or } x=-3+5\\x=8\text{ or }x=2[/tex]

Thus, the answers are:

[tex]x=2,8[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 300}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{110 + 0.70x = 50 + 0.90x}[/tex]

Move 0.90x to left hand side and change it's sign

⇒[tex] \sf{0.70x - 0.90x + 110 = 50}[/tex]

Move 110 to right hand side and change it's sign

⇒[tex] \sf{0.70x - 0.90x = 50 - 110}[/tex]

Collect like terms

⇒[tex] \sf{ - 0.2x = 50 - 110}[/tex]

Calculate

⇒[tex] \sf{ - 0.2x = - 60}[/tex]

Divide both sides of the equation by -0.2

⇒[tex] \sf{ \frac{ - 0.2x}{ - 0.2} = \frac{ - 60}{ - 0.2} }[/tex]

Calculate

⇒[tex] \sf{x = 300}[/tex]

Hope I helped!

Best regards!!

Answer:

The first one is a linear function with the slope of 3 with no shift. the second is a vertical line on the 2 of the x axis. the third is a horizontal line on the -3 of the y axis.

Answer:

soln,

6x=12

so,x=2.........

Answer:

c.) 20%

Step-by-step explanation:

•1/3 chnace of picking Strawberry flavor

•2/3 chance of picking a milkshake or cone serving

(1/3)*(2/3)=2/9=0.222...(approx.)=0.20=20%

Edit for more clarification:

If you have a situation where multiple outcomes are favorable ("or" statements) then you add the odds together. The customer here wouldn't have minded a milkshake or a cone, so we add their odds together to get 2/3.

If you have a situation where a specific combination of outcomes is favorable ("and" statements) then we multiply the odds. The customer would be getting a flavor and a type of serving, so we multiply the odds of each combination together.

(Note that this is technically a simplified version of the general formulas/equations for probabilities so if you go look them up on the internet they might include some other ideas.)

Answer:C

Step-by-step explanation:

quiz says it was right

[tex]\boxed{3:5}[/tex]

We need to first change the measurement of 2 feet to inches, and then find the most simplified version of the resulting ratio.

2 feet = 24 inches (1 foot = 12 inches)

Ratio: 24:40

Simplify ratio:

24/8 = 3

40/8 = 5

Ratio: 3:5

Therefore, the simplified ratio is 3:5 inches.

Answer:

53 and 54

Step-by-step explanation:

x + (x+1) = 107

2x+1 = 107

2x = 107

x = 53

x+1 = 54

Answer:

9 eazy

Step-by-step explanation:

Answer:

B.9

Step-by-step explanation:

3^4=81

3^2=9

81/9=9

Answer:

The elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex] is 12790.70 feet

Step-by-step explanation:

Let every 1,000 feet of elevation be [tex]x[/tex]. Hence, we can write

[tex]T = 212[/tex] [tex]- 1.72x[/tex]

Where [tex]T[/tex] is the boiling temperature of water at different elevations

Now, to the determine the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex].

We will determine [tex]x[/tex] by putting [tex]T = 190[/tex] °[tex]F[/tex].

Hence,

[tex]T = 212[/tex] [tex]- 1.72x[/tex]

[tex]190[/tex]  [tex]= 212[/tex]  [tex]- 1.72x[/tex]

[tex]190 - 212[/tex]    [tex]= - 1.72x[/tex]

[tex]- 22[/tex]  [tex]= - 1.72x[/tex]

[tex]22 = 1.72x\\x = \frac{22}{1.72} \\x = 12.79070[/tex]

Since [tex]x[/tex] represents every 1,000 feet of elevation, then the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex]

[tex]12.79070[/tex] × [tex]1000\\[/tex] [tex]= 12790.70[/tex] feet

Hence,  the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex] is 12790.70 feet

Answer:

hundred thousands

Step-by-step explanation:

You would move it to the left one place, so it would be the hundred thousands place.

Answer: The answer is hundred thousands place.

Step-by-step explanation: The question is wanting you to name the space the 8 is in. So 10's, 100's, 1000's and so on. But in this case an 8 in the hundred thousand's place has 10 times more value then an 8 in the ten thousand's place.

Answer:

  13.2

Step-by-step explanation:

√175 ≈ 13.2 . . . units

The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.

Answer:

B

Step-by-step explanation:

Answer: x= 2, y= -1/2

Step-by-step explanation:

The value of x is 2 and y is -1/2

equations are  3x-2y=7 --1

                         7x+2y=13 --2

lets  consider  3x-2y=7 as equation 1,

       consider  7x+2y=13 as equation 2

by putting both the equations :-

              3x-2y=7

               7x+2y=13

we get  10x=20

           x=20/10

           x=2

Now by putting the value of x in equation 1;

3(2)-2y=7

6-2y=7

-2y=1

y=-1/2

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y. They are called simultaneous equations because the equations are solved at the same time. Each of these equations on its own could have infinite possible solutions.

algebraic equation, a statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

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Answer:

$28.50

Step-by-step explanation:

21 chicken wings= $39.90

1 chicken wing= 39.90÷21= $1.90

15 chicken wings= 15×1.90= $28.50

Answer:

-5 < x < 10

Step-by-step explanation:

−6 < x − 1 < 9 just get rid of -1 by adding 1 to all three terms

-6 + 1 < x -1 + 1 < 9 + 1

-5 < x < 10

Answer:

| − 2 | − 7 2 x− 9 ⋅ 5 x − 4  − 6 ( y − 3 )

Step-by-step explanation:

Answer:31

Step-by-step explanation:

Answer: KE= 900,000t^2

Step-by-step explanation:

The geometric terms that best describes each part of the tennis court are Playing Surface ⇒ Plane and Corner of Serving Box ⇒ Vertex

There are several geometric terms; some of them are:

Using the above definitions, the geometric terms that best describes each part of the tennis court are

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Answer:

c

Step-by-step explanation: