A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting a 10 and the coin landing on tails

Answers

Answer 1
Answer:

Answer:

1/26

Step-by-step explanation:

There are 4 packs in a regular card deck. Hence, we have four 10s.

The probability of selecting a 10 is thus 4/52 = 1/13

The probability of getting the coin to land on its tail is 1/2.

The probability of getting a 10 and a tail flip = 1/2 * 1/13 = 1/26


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(a) 3x + 7y = 13, 5x + 2y = 12
How do i solve this linear equation using substitution method??

Answers

Answer:

x= 2, y= 1

Step-by-step explanation:

First label the 2 equations:

3x +7y= 13 -----(1)

5x +2y= 12 -----(2)

Make x or y the subject of formula for one of the equation so that we can substitute its value into the 2nd equation.

Here, I am making y the subject of formula in the 2nd equation.

5x +2y= 12

2y= 12 -5x

y = 6 -  (5)/(2) x -----(3)

Substitute (3) into (1):

3x + 7(6 -  (5)/(2) x) = 13

Expand:

3x + 42 -  (35)/(2) x = 13

Bringconstantstooneside:

3x -  (35)/(2) x = 13 - 42

Simplify:

-  (29)/(2) x =  - 29

Multiplyby-2onbothsides:

- 29x =  - 58

Divideby-29onbothsides:

x=2

Substitute x=2 into (1):

3(2) +7y= 13

7y +6= 13

7y= 13 -6 (-6onbothsides)

7y= 7

y= 7 ÷7

y= 1

What is eight dozen in standard form?

Answers

assuming 8 dozen is 96 not 8000000000000 it would be 9.6x10¹. If it is 8000000000000 then it's 8x10¹²

Sabr buys a magazine and a pizza. She spends $9.75. The pizza costs twice as much as the magazine. How much does the pizza cost?​

Answers

Answer:

  • The magazine costs $3.25
  • The pizza costs $6.50

Explanation:

Let's say the magazine costs \tt{\$x}. Since the pizza costs twice as much as the magazine, the pizza costs \tt{\$2x}.

Now we know that the total cost of the magazine and pizza is $9.75. So, the equation becomes:

  • \LARGE \boxed{\tt{x + 2x = 9.75}}

Combining like terms, we get:

  • \large \boxed{ \tt{3x = 9.75}}

To solve for \tt{x}, we divide both sides of the equation by 3:

  • \large \boxed{\tt{x = 3.25}}

Therefore, the pizza costs:

  • \huge \boxed{\tt{2x = 2(3.25) = 6.50}}

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Answer:

pizza costs = $3.25

Step-by-step explanation:

let the cost of pizza = $x

let the cost of magazine = $y

according to the question:

x + y = 9.75              (1)

y = 2x                       (2)

by substituting the value of y from equation (2) into equation (1)

x + 2x = 9.75

3x = 9.75

x = 9.75/3 = 3.25

thus, cost of pizza = $3.25

What is 3/5 of 9 miles, please

Answers

3/5 of 9 miles is 5.4 miles 
3/5 = .6
9 x .6 = 5.4

What is the product of 3a2b and -2ab3?(1) a 2b3 (3) -6a2b3
(2) a3b4 (4) -6a3b4

Answers

3a^2b*(-2ab^3)=-6a^2*a*b*b^3=-6a^3b^4

Answer 4

Which measurement is most accurate to describe the amount of water a teaspoon could hold?5 mL
3 L
25 mL
0.3 L

Answers

5 mL. 1 (US)teaspoon = 4.92892 mL

Answer:

5ml

hope that helps

Step-by-step explanation: