Which statement best describes the use of a stimulation to predict the probability that two randomly chosen people will both have their birthdays on a monday

Answer:

x = 1/3y +7/3

Step-by-step explanation:

3x-y=7

Add y to each side

3x-y+y=7+y

3x = y+7

Divide each side by 3

3x/3 = y/3 + 7/3

x = 1/3y +7/3

Answer:

x= 7/3 + y/3

Step-by-step explanation:

divide each term by 3 and simplify

Sum of 2 fifths of x and 6x and 6 in algebraic expression = 2/5 x +6x +6

Answer:

(14x+12)/5

Step-by-step explanation:

2 fifth of x = 2/5 * x= 2x/5

2 fifth of 6x = 2/5 * 6x = 12x/5

2 fifth of 6 = 2/5 * 6 = 12/5

2x/5 + 12x/5 + 12/5

= (2x+12x+12)/5

= (14x+12)/5

Answer:

3 =x

Step-by-step explanation:

5x + 17 = 4(3x - 1)

Distribute

5x+17 = 12x -4

Subtract 5x from each side

5x+17-5x = 12x-4-5x

17 = 7x-4

Add 4 to each side

17+4 = 7x-4+4

21 = 7x

Divide by 7

21/7 = 7x/7

3 =x

Answer:

x = 3

Step-by-step explanation:

5x + 17 = 4(3x - 1)

Distribute on the right side.

5x + 17 = 12x - 4

Subtract 12x from both sides. Subtract 17 from both sides.

-7x = -21

Divide both sides by -7.

x = 3

Answer:

hypotenuse = 93.06

Step-by-step explanation:

[tex]x = 11\\\\base = 4 \times 11 = 44\\\\height = 7x + 5 = 7 \times 11 + 5 = 77 + 5 = 82\\\\hypotenuse ^2 = base^2 + height^2\\[/tex]

                  [tex]=44^2 + 82^2\\\\=8660[/tex]

[tex]\\\\hypotenuse=93.06[/tex]

Answer:

C. -9

Step-by-step explanation:

The pattern is clearly subtracting 4 each time (or adding -4).

-5 - 4 = -9

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

Hello! answer: B.

attention: im using 3.14 for pi so answers may vary. ok so in this picture we are provided with the diameter to find area we can do radius × radius × 3.14

16 ÷ 2 = 8 8 × 8 = 64

64 × 3.14 = 200.96 When you round this up it's 201 so approximately the answer would be B. Hope that helps!

Answer:

Answer:

???

Step-by-step explanation:

x*y=y

Well, since y is on both ends of the equation, y could be 0, because anything multiplied by 0 is 0.

So x could be anything.

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hope it helps

Answer:

The solution to the equation is:

Step-by-step explanation:

To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:

And we solve:

As you can see, the solution of the equation is x = 2.5 or x = 5/2

Answer:the answer is 5  it means you mutiply five that many times

Step-by-step explanation:

Answer:

5¹=5

5¹ means that you multiply 5 by itself 1 times

Answer:

you will pay back $4,984 in total and you will owe 984 in interest alone just in case you need that too.

Answer:

49

Step-by-step explanation:

Answer:

Need a picture so someone can answer.

Answer:

Step-by-step explanation:

Sorry but i can not help you without a picture being present

Answer:

x=72°

Step-by-step explanation:

given,

DEF=216°

DF =360-216

the value of x=144/2( inscribed angle is half of its arc)

Answer:

The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x

Step-by-step explanation:

The given parameters are;

The increase in water usage for both regular days and special event for the current year = 20%

The water usage for last year regular days = 13,505 gallons

The water usage per special event = 18.5 gallons

The total water usage = 13,616 gallons

Therefore, we have;

The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons

The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons

The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;

U = 16,206 gallons + x × 22.2 gallons

∴ The total water usage at the park this year, U = 16,206 + 22.2·x

Answer:

U=16,206+22.2 ^. x

Step-by-step explanation:

Answer:

Dimensions of the tabletop is 2.8 cm × 2.8 cm.

Step-by-step explanation:

From the picture attached,

ABCD is a tabletop with leaves AEG, BEF, CFH and GDH.

Dimensions of the tabletop ABCD,

Length = AB

Width = BC

Coordinates of A → (1, 3)

Coordinates of B → (3, 5)

Coordinates of C → (5, 3)

Coordinates of D → (3, 1)

Length of segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

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

     = [tex]\sqrt{4+4}[/tex]

     = [tex]2\sqrt{2}[/tex]

     ≈ 2.8 units

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

     = [tex]\sqrt{4+4}[/tex]

     = [tex]2\sqrt{2}[/tex]

     = 2.8 units

Therefore, dimensions of the tabletop is 2.8 cm × 2.8 cm.

Answer:

a) 1000,21000 are the break even number of cars

b) the maximum profit is 200 at 11000 cars

Step-by-step explanation:

P = –2x^2 + 44x – 42

To break even, P =0

0 = –2x^2 + 44x – 42

Factor

0 = -2( x^2 -22x+21)

0 = -2 ( x-21)(x-1)

Using the zero product property

0 = x-21    0 = x-1

x=21            x=1

Remember that x is the number of cars in thousands

When the profit is maximum is at the vertex

The vertex is 1/2 way between the two zeros

(1+21)/2 = 22/2 = 11

11 cars sold

The maximum profit is

P(11) = –2(11)^2 + 44(11) – 42=--242+484-42=200

The maximum profit is 200

Given :

A shopkeeper earns a profit of Rs. 1 by selling a pencil and a loss of 20 paisa by selling an eraser.

To Find :

In a given day he had a loss of Rs. 10. On this day, he sold 35 pencils. How many erasers were sold on this day.

Solution :

Money earned by selling 35 pencils.

P = 35 × 1 = Rs 35 .

Now, it is given that he had a loss of Rs 10 .

Therefore, amount of loss done by money is :

E = 35 + 10

E = Rs 45

Now, number of erase sold :

[tex]n = \dfrac{E}{0.2}\\\\n = \dfrac{45}{0.2}\\\\n = 225\ erasers[/tex]

Hence, this is the required solution.

Answer:

the answer is B

Step-by-step explanation:

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The length of the string = 39 m

The kite is level with the top of a building that is 24 meters high.

We need to find the angle of elevation of the kite.

A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.

[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{24}{39}\\\\\theta=\sin^{-1}\left(0.61538\right)\\\\\theta=37.98^{\circ}[/tex]

So, the angle of elevation of the kite is 37.97°. The correct option is (b).

Answer:

The Indapendent virable is: t

Noah took 4 hours to walk 12 miles

(7 1/2, 2 1/2)

Step-by-step explanation:

Please Mark Brainliest

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

Answer:

(0,3) is the x intercept

(3,0) is the y intercept

Step-by-step explanation:

When it has 0 that means its directly on the line, since x is 0 on (0,3) that means the line is crossing the x intercept

I also think- Because you're drawing on the same marble without replacing it.

Step-by-step explanation:

answer is 22 students in the team

how do u get it?

you know it is 80% of the students went for try out so you do 100% - 80% give you 20% students the number of students in the team already. so you do 20 / 100 x 110 students which already in the whole school over 1 which would give it 22

Answer:

Blue paint: 1, 2, 2.8, 10

Red paint: 2.5, 5, 7, 25

Step-by-step explanation:

constant of proportionality: 2.5

2.5x = y

Step-by-step explanation:

y = 15× tan25° = 15×0.466 = 6.99 m

r (Hypotenuse) = 15/cos25° = 15/0.906

= 16.56m

the total height = 6.99+16.56 = 23.55 m