Your total after 4 games of bowling was $28
and after 6 games it was $40. What was the
initial cost to rent the shoes before bowling
any games?

Answer:

true? i think

[tex]\bold{\huge{\green{\underline{Solution}}}}[/tex]

[tex]\bold{\underline{ To\: Find }}[/tex]

[tex]\bold{\underline{ Let's \: Begin }}[/tex]

Here,

Therefore,

According to parallelogram law of resultant vector

If two vectors are represented by two adjacent sides of a parallelogram drawn from a point , the their resultant is equal to the diagonal of the parallelogram.

That is,

[tex]\sf{ R = AC^{2}= A^{2}+ B^{2}}[/tex]

But, we have to calculate the magnitude of the resultant vector

[tex]\sf{ | R |= √A^{2}+ B^{2}+ 2ABCos{\theta} }[/tex]

Subsitute the required values,

[tex]\sf{ | R |=\sqrt{ (10)^{2} + (15)^{2} + 2× 10 × 15 × cos 60{\degree}}}[/tex]

[tex]\sf{ | R | =\sqrt{ 100 + 225 + 20 × 15 × 1/2}}[/tex]

[tex]\sf{ | R | = \sqrt{100 + 225 + 10 × 15 }}[/tex]

[tex]\sf{ | R | = \sqrt{335 + 150 }}[/tex]

[tex]\sf{ | R | = \sqrt{485 }}[/tex]

[tex]\sf{\red{ | R | = 22.02 \: km}}[/tex]

Hence, The magnitude of the car resultant vector is 22.02 km.

Answer:

c. having two solutions

Answer:

C because for there to be two solutions, one or more of the lines graphed would have to be curved, meaning having two solutions is not possible for two linear equations

Answer:

y = -11/12x + 4

Step-by-step explanation:

(-12,15) and (0.4)

4 - 15 = -11

0 -(-12) = 12 (since minus a negative = positive)

-11/12

Then just put the numbers.

15 = -11/12(-12)

15 = 11 + b

4 = b

Additional Information:

Slopes are really fun to do, but they get tricky and confusing. By the way, I am 14 years old and I did slopes, and I'm not the best at this, so I might be wrong. :( Don't hate me.

Answer:

  -11/12

Step-by-step explanation:

The slope of the line is the difference in y-values divided by the difference in x-values. It is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -15)/(0 -(-12)) = -11/12

The slope of the line through the given points is -11/12.

Step-by-step explanation:

A can do 1/(t+2) of the task in 1 hour.

B can do 1/(t+18) of the task in 1 hour.

t×1/(t+2) + t×1/(t+18) = t/t = 1 (the full task is done)

t + t×(t+2)/(t+18) = t+2

t×(t+18) + t×(t+2) = (t+2)(t+18)

t² + 18t + t² + 2t = t² + 20t + 36

2t² + 20t = t² + 20t + 36

2t² = t² + 36

t² = 36

t = 6

Answer:

c letter is correct I think....

Answer:

103.5

Step-by-step explanation:

The area is the height times width, and 4.5 times 23 is 103.5.

Answer:

B) (20,8) , (30,13) , (40,18)

Step-by-step explanation:

To check: (20,8)

y = 1/2x - 2

8 = 1/2(20) - 2

8 = 10 - 2

8 = 8

This is true, which makes our point true.

To check: (30,13)

y = 1/2x - 2

13 = 1/2(30) - 2

13 = 15 - 2

13 = 13

This is true, which makes our point true.

To check: (40,18)

y = 1/2x - 2

18 = 1/2(40) - 2

18 = 20 - 2

18 = 18

This is true, which makes our point true.

Hope that helps!

Answer:

r = 2

Step-by-step explanation:

To find the common ratio (r) of a geometric sequence, simply divide a term by its previous term.

   8 ÷ 4 = 2

or, 4 ÷ 2 = 2

or, 2 ÷ 1 = 2

Answer:

x= -10

Step-by-step explanation:

[tex]x - ( - 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

Answer:

[tex]=> \: x = - 10[/tex]

Step-by-step explanation:

=> x - -4 = -6

=> x -( -4 )= -6

=> Collect like terms

=> x = -6 -4

[tex]=> \: x = - 10[/tex]

Answer:

PC = 8

Step-by-step explanation:

BF and CE are medians of the triangle.

On each median the distance from the vertex to the centroid P is twice as long as the distance from the centroid to the midpoint, then

PC = 2 × EP = 2 × 4 = 8

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

2x-3(2x+4)=-4

Distribute the -3

2x-3(2x)-3(4)=-4

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)

Answer:

Infinitely many solutions

Step-by-step explanation:

[tex]y=2x+4\\ [2] 6x-3y=-12[/tex]  < ------------- Linear equations given

Equations Simplified or Rearranged :

[tex]y - 2x = 4 \\ [2] -3y + 6x = -12[/tex]

Solve by Substitution :

// Solve equation [1] for the variable [tex]y[/tex]

[tex][1] y = 2x + 4[/tex]

// Plug this in for variable[tex]y[/tex]  in equation[tex][2][/tex]

[tex][2] -3*(2x+4) + 6x = -12[/tex]

[2]    [tex]0 = 0 =>[/tex]  Infinitely many solutions

Step-by-step explanation:

Substitute t = -9:

[tex]g( - 9) = 3( - 9) - 5[/tex]

Solve:

[tex]g( - 9) = - 27 - 5[/tex]

[tex]g( - 9) = - 32[/tex]

Answer:

Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.

Step-by-step explanation:

Company A: y = -3/5x + 65

Company B: y=1/2x + 62

Company C: 11/25x + 57

Make sure x is 1 then do all the equations, then x is 10 and do all the equations to see which has more amount of money and which has less.

Company A: 64.4 (if x = 1)

Company B: 62.5 (if x = 1)

Company C: 57.44 (if x = 1)

if x = 10

Company A: 59

Company B: 67

Company C: 61.4

(I might be wrong since I'm 14)

Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.

Answer:

y=6x-4

Step-by-step explanation:

First find the slope using the coordinates of (-1,-10) which will be your first pair x1 and y1. And (3,14) will be x2 and y2. To find the slope use this formula: m= y2-y1/x2-x1

Put the numbers of the coordinates in the formula and you get a fraction of

24/4 = 6 this is the slope

m=6

Then to find the y-int

Pick a coordinate they both will give the same answer. Put it into the point slope formula: y-y1=m(x-x1)

Only use y1, x1, and m which is 6 And solve

y-14=6(x-3) distribute the 6 this gives you
y-14=6x-18 to get y by itself, ADD 14 to both sides of the equal sign

Leaving you with y=6x-4

Answer:

It'll be 18% to the nearest percent

Step-by-step explanation:

2/5 × 45 = 18

Answer:

The answer is 18%

Step-by-step explanation:

The formula to find experimental probability is number of favorable outcomes/total number of trails. Our favorable outcome here is C ( the outcome we want), and it occurs 8 times. The spinner is spun 45 times so there are 45 trials. This means we get 8/45. 8 divided by 45 equals 0.177777778. When rounded up equals 0.18=18%.

Hope this helps for you K12 math test.

Answer:

322 ft²

Step-by-step explanation:

Trapezoid area formula:

[tex]A=\frac{a+b}{2} *h[/tex]

Given:

a = 11

b = 35

h = 14

Work:

[tex]A=\frac{a+b}{2} *h\\\\A=\frac{11+35}{2} *14\\\\A=\frac{46}{2} *14\\\\A=23*14\\A=322[/tex]

Answer:

322 ft^2

Step-by-step explanation:

for a trapezoid A= base 1+ base 2 divided by 2, multiplied by the height

(35+11/2)*14= 322

Answer:

C=70b

Step-by-step explanation:

multiply each number in b by 70  to get the correct answer of c

Answer: H<14

Expelnation:2

h

+

8

>

3

h

−

6

8

>

h

−

6

(subtract

2

h

from both sides)

14

>

h

(add

6

to both sides)

or

h

<

14

(-4,7) 180 counterclockwise is

(4,-7)

Answer:

Tessa receives £60

Step-by-step explanation:

The ratio is 5:3 so 5+3=8 which is then what you use to divide 96

96/8=12

12x5(the 5 comes from the ratio for Tess) is 60 therefore she receives £60

Answer:

Step-by-step explanation:

Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?​

96 : (5 + 3) = 12

12 * 5 = 60

Twenty-seven is 25% of 108

Answer:

-1/2d + f

Step-by-step explanation:

cmon fam I know you know how to do this just find the least common denominator and subtract like terms (numbers with the same variable) and then simplify the fractions

Answer:

less

greater

less

greater

Answer:

y= 3/4x -7

Step-by-step explanation:

equation of a line

y= mx+b

the slope is m

and the y intercept is b

in this case it would be

y= 3/4x -7

Answer:

Step-by-step explanation:

y = mx + b

y = 3/4x - 7

Hope this helps!

Jangan Mencoba Menikamku Dari Benakmu

Answer: This is the answer to your equation sorry I had to do It on a doc

Answer:

-4

-4

1

-8

1

Step-by-step explanation:

[tex]x^2-4x-8=0[/tex]

Comparing [tex]ax^2+bx+c=0[/tex]

⇒ a = 1, b = -4 and c = -8

Substituting these values into the quadratic formula:

[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-8)} }{2(1)}[/tex]

(The numbers you need to fill in the blanks are in bracket)

Answer:

7 units

Step-by-step explanation:

the distance between -2 and 4 on the x axis is 7

and then i found the middle point and tried to find the length of it on the y axis

Answer:

$13.80

Step-by-step explanation:

if it's only asking how much he had after buying the oil pastels, it's just 20-6.20 which is 13.80