MATHEMATICS HIGH SCHOOL

A card is drawn from a standard 52-card deck. What is the probability that the card is a red jack, given that the card is a face card (a jack, queen, or king)?

Answers

Answer 1

Answer:

Answer:

The answer is B

Step-by-step explanation:

only 20 chars.....

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Solve each of the following equations for x.a) 3x - 8 =29 b) 3 ( x - 8 ) = 28c) 3 (x - 8) + 17 =29 d) 7x + 12 = 3x - 8

One gallon of fuel mixture contains antifreeze in the ratio of 5 parts fuel to one part antifreeze. To this is added half a gallon of mixture which is one third antifreeze and two thirds fuel. What is the ratio of fuel to antifreeze in the final mixture?

Answers

1 gal (initial) = (5/6) parts fuel & (1/6) parts antifreeze= total of 6 parts
0.5 gal (add'l) = (2/3) parts fuel & (1/3) parts antifreeze = total of 3 parts

adding the two
Fuel: 1gal*(5/6 parts) + 0.5gal*(2/3 parts) = 7/6 parts in 1.5 total gallons
Antifreeze: 1gal*(1/6 parts) + 0.5gal*(1/3 parts) = 2/6 parts in 1.5 total gallons

thus with a common denominator provides a ratio of 7:2 (fuel:antifreeze)

Solve the following system of equations using substitution.u = 6 + t
36 = 2t + u
A. t = 10, u = 16
B. t = 10, u = 4
C. t = 14, u = 20
D. t = 16, u = 22

Answers

It's A. If U=16, 6+10=16
and if you plug in the numbers for the second equation it's 36=2(10)+16

How do i solve x/2+1/3=x/3+1/2

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x/2+1/3=x/3+1/2
x/2=x/3+1/2-1/3
x/2 - x/3 = 3/6 - 2/6
x/2 - x/3 = 1/6
3x/6 - 2x/6 = 1/6
x/6 = 1/6
x = 1/6 * 6

x = 1

$(1)/(2)x + (1)/(3) = (1)/(3)x + (1)/(2) \n(1)/(6)x + (1)/(3) = (1)/(2) \n(1)/(6)x = (1)/(6) \n6((1)/(6)x) = 6((1)/(6)) \nx = 1$

ΔXYZ is translated 4 units up and 3 units left to yield ΔX′Y′Z′. What is the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ ?25 units

7 units

5 units

7√ units

Answers

By translating triangle ABC 4 units up and 3 units left to form triangle A'B'C' means that the line joining each of the corresponding points represents the hypothenus of a right triangle with legs 4 units and 3 unit. To find the length of each corresponding points, we use the prthagoras theorem which states that the square of the length of the pythagoras of a right triangle is equal to the sum of the squares of the lenght of other legs. i.e. the square of the required distance = 4^2 + 3^2 = 16 + 9 = 25 Therefore, the distance of eachcorresponding side is given by the square root of 25 = 5.

Answer:

Step-by-step explanation:

A zoo has 1,361 visitors on Saturday and 549 visitors on Sunday. What is the best estimate of the total number of visitors?