3
Roy and David both play football for the same team. A football match is 90 minutes long.
In one match, Roy plays for 70% of the 90 minutes and David plays for of the 90 minutes.
Who plays for the longer time and by how many minutes?

Answer:

$16.65

Step-by-step explanation:

To turn percentages into coefficients divide by 100, so 85% become .85. She marks them up or adds a cost of 85% so instead of using .85 we use 1.85. so 1.85 times initial cost of candle is 1.85*9=16.65

Answer:Gabriela es mi hermana

Step-by-step explanation:

Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient  really is HIV positive.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The percentages involving a positive test are:

Hence:

[tex]P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673[/tex]

The probability of both having a positive test and being HIV positive is:

[tex]P(A \cap B) = 0.95(0.03)[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235[/tex]

0.4235 = 42.35% probability that the patient  really is HIV positive.

A similar problem is given at https://brainly.com/question/14398287

Answer:

x = 17/5

Step-by-step explanation:

17+2+6x = x-15 +5x

19+6x =16x -15

19+15 = 16x-6x

34 = 10x

34/10= 10x/10

17/5 = x

x = 17/5 or 3 2/3

Answer:

y=6x×2/4

x=7

thanks for the points

Answer:

x=-1/7

Step-by-step explanation:

5x+15=-2x+14

5x+2x=14-15

7x=-1

x=-1/7

Step-by-step explanation:

5(x+3) = -2(x-7)

5x + 15 = -2x + 14

7x = -1

x = -1/7

From the given figure,

Subtracting AB and DC, so,

[tex]6 - 3 = 3 \: cm[/tex]

As we know that :-

[tex]d = \sqrt{ {5}^{2} - {3}^{2} }[/tex]

[tex]→d = 4 π cm[/tex]

Since:-

[tex]c = πd[/tex]

[tex]c = 4πd[/tex]

So, Answer is 4 π d

Answer:

45

Step-by-step explanation:

15+15+15=45

that would increase her practice time by 45 minutes

Answer:

The answer will be 5.

Step-by-step explanation:

using the formula d=/(x2-x1)2 +(y2-y1)

Answer:

let the number be x.

[tex]x + 18 = 159 \\ x = 159 - 18 = 141[/tex]

the number is 141

hope helpful <3

Answer:

I think it's -28/-12

Step-by-step explanation:

y-y/x-x

Answer:

Step-by-step explanation

just multiply

like 1x2=2

so 60x2=120

2x5=10

120x5=600

and on and on

Answer:

First

Step-by-step explanation:

1.

[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]

[tex]5 + 3^2 = 5 + 9 = 14[/tex]

2.

[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]

[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]

3.

[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]

[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]

4.

[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]

[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]

Answer:

first and fourth

Step-by-step explanation:

Equate and compare both sides of the equations. If both sides are equal then the equation is true.

48 ÷ 8 + 2³ = 6 + 8 = 14

right side = 5 + 3² = 5 + 9 = 14

This is a true equation

---------------------------------------

9² - 7² = 81 - 49 = 32

right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4

This is not a true equation

---------------------------------------

[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6

right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2

This is not a true equation

--------------------------------------------------

[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16

right side = 22 - 2 × 3 = 22 - 6 = 16

This is a true equation

Answer:

7

Step-by-step explanation:

The factors of 28 and 63 are

28 : 1, 2, 4, 7, 14, 28

63 : 1, 3, 7, 9, 21, 63

The common factors are 1 and 7

7 is a prime factor of both 28 and 63

Answer:

yes 198

Step-by-step explanation:

19, 15.5

20, 25

21, 1/16

22, 4

23, 11

24, 8

25, 19.5

26, 30

27, 4

28, 56

29, 6.5

30, 4

31, 21

32, 112

33, 3,200

here are they

[tex]y = 2x -2 ~~~~.....(i) \\\\y = x^2 -4 x +3 ~~~~ .....(ii) \\\\\\x^2-4x +3 = 2x -2\\\\\implies x^2 -4x -2x +3 +2 =0\\\\\implies x^2 -6x +5 =0\\\\\implies x^2 -5x -x +5 =0\\\\\implies x(x-5) -(x-5) =0\\\\\implies(x-5)(x-1) =0\\\\\implies x = 5 ~~ \text{or}~~ x = 1 \\\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 2 -2 =0\\\\ \text{Substitute x = 5 in equation (i):}\\\\\\y = 2(5) -2 = 10 -2 =8 \\\\\text{Hence,}~~ (x,y) = (1,0) ~ \text{and} ~ (x,y) = (5,8)[/tex]

Answer:

Circle is a closed geometric figure having an infinite number of sides.

Step-by-step explanation:

A circle ⭕ has infinite number of sides want to know how then try and experiment.

First draw a pentagon of five sides, then a hexagon of six sides and keep on increasing the number of sides and then you will notice the shape being close of a circle.

Answer:

8+-9=-1

Step-by-step explanation:

evaluated

Answer:

8+(-9)=8-9=-1

Step-by-step explanation:

to get -9 you multiply -×+ which is -

Answer:

62.8 yards

Step-by-step explanation:

The circumference would just be equal to diameter*3.14, and the diameter is 2 times the radius. 2x10=20, and 20x3.14 would equal 62.8 yards.

Answer:

Yes

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:6/12 is 1/2 of the fraction meaning that 6/12 is = to 1/2.

Answer:

12 / 12

Step-by-step explanation:

LCM of 12 and 2 = 12

1 / 2

= ( 1 / 2 ) x ( 6 / 6 )

= ( 1 x 6 ) / ( 2 x 6 )

= 6 / 12

6 / 12 + 1 / 2

= 6 / 12 + 6 / 12

= ( 6 + 6 ) / 12

= 12 / 12

Answer:

1. -3 × Equation [A1] --> Equation [B1]

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

Step-by-step explanation:

There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:

1. -3 × Equation [A1] --> Equation [B1]

6x × -3 = -18x

-7y × -3 = 21y

14 × -3 = -42

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

(4x × 7) + -18x = 28x - 18x = 10x

(-3y × 7) + 21y = -21y + 21y = 0y

(-4 × 7) + -42 = -28 - 42 = -70

I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.

Answer:

  $31,384.28

Step-by-step explanation:

If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...

  y = 10000(1.1^x)

For x=12, the value of the investment is predicted to be ...

  y = 10,000(1.1^12) ≈ 31,384.28

The value of the investment 12 years after purchase is predicted to be $31,384.28.

__

In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.

[tex]W = 23.7°[/tex]

Step-by-step explanation:

The formula given is the statement of Snell's law of refraction. We are given the following:

[tex]I_a = 1.0003[/tex]

[tex]I_w = 1.3[/tex]

[tex]A = 31.5°[/tex]

So we need to find the angle of refraction W. Starting with Snell's law,

[tex]\dfrac{I_w}{I_a} = \dfrac{\sin A}{\sin W} \Rightarrow \sin W = \left(\dfrac{I_a}{I_w}\right)\sin A[/tex]

Plugging in the given values, we get

[tex]\sin W = \left(\dfrac{1.0003}{1.3}\right)\sin{31.5°} = 0.402[/tex]

Solving for the angle W, we then get

[tex]W = \sin^{-1}(0.402) = 23.7°[/tex]

Answer:

Percentage Calculator: 100. is what percent of 500.? = 20.

Step-by-step explanation:

Answer:

30x t 78

Step-by-step explanation: