Answer: 13/51
Step-by-step explanation: After shuffling there are 52 permutations of 52 cards. Each has the probability of occurrence equal to another, that is the probability of any sequence of cards is 1/52.
Let's count only those where there is a red card on the first place and black card on the second. There are 26 red and 26 black cards. Therefore, we have 26 ⋅26 choices for a pair of two first cards. The sequence of other 50 cards in unimportant and any permutation among them is fine for us since we fixed the first two.
Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.
Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.
The final probability, therefore, is
26 ⋅26 ⋅50 / 52 = 26 ⋅26 / 52 ⋅ 51 = 13 / 51
13/51 is the final answer
The length of a rectangle is 4 more than the width. The area is 357 square centimeters.
Find the length and width of the rectangle
Answer:
17*21 = 357
Step-by-step explanation:
Firstly, set up your equation.
x*(x+4)=357
Multiply X by (x+4)
x^2+4x=357
You then subtract 357 from both sides
x^2+4x-357=0
Simplify using the quadratic formula shown, if you need assistance on solving this equation put it into a online calculator, or photomath as it shows the steps taken to solve it.
[tex]\frac{-4+\sqrt{4^2-4\cdot \:1\cdot \left(-357\right)}}{2\cdot \:1}\\[/tex]
What is the slope of the line that passes through the points (-10,8)and (-15,-7)
Answer:
m = 3
Step-by-step explanation:
Use the slope formula to find the slope m .
When Jeremy made 8 black and white copies and 2 color copies at a copy shop, the cost was $1.20. When he made 10 black and white copies and 10 color copies, the cost was $3.00. How much do black and white copies cost?
Answer:
10¢
Step-by-step explanation:
First, to be able to differentiate between the B&W and Color copies, use x in place of the B&W copies and y in place of the Color copies.
Then, write a system of equations to solve (the system of equations input was not working, so there is no brace):
8x + 2y = $1.20
10x + 10y = $3.00
Then, solve the system of equations:
8x + 2y = $1.20
10x + 10y = $3.00
Isolate x to be able to substitute:
8x + 2y = $1.20
8x = -2y + 1.2
x = -2/8y + 1.2/8
x = -0.25y + 0.15
Substitute:
10x + 10y = $3.00
10 (-0.25y + 0.15) + 10y = 3
-2.5y + 1.5 + 10y = 3
7.5y + 1.5 = 3
7.5y = 1.5
y = $0.20
Now that you have the cost of the Colored copies, you can plug it in to find the B&W copies:
8x + 2y = $1.20
8x + 2(0.2) = 1.2
8x + 0.4 = 1.2
8x = 0.8
x = $0.10
The quadratic function modeling the height of a ball over time is symmetric about the line , where t is time in seconds. Which statement is true about this situation?
A.
The height of the ball is the same after 1 second and 3 seconds.
B.
The height of the ball is the same after 0 seconds and 4 seconds.
C.
The height of the ball is the same after 0.5 second and 5.5 seconds.
D.
The height of the ball is the same after 1.5 seconds and 3.5 seconds.
Answer:
A. The height of the ball is the same after 1 second and 3 seconds.
Step-by-step explanation:
The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.
Solve for u.
3u = 4.8
I don’t know how to find what u equals can someone help me
Answer:
U = 1.6
Step-by-step explanation:
Divide 4.8 by 3.
A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
Can you please add a step by step
Answer:
4.8
Step-by-step explanation:
15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8
Answer:
4.8 meters
Step-by-step explanation:
[tex]\frac{15}{6} = 2.5[/tex] 12 ÷ 2.5 = 4.8 metersI hope this helps!
Find Each Sum.
1) (-12)+7=
2) (-10)+(-7)=
3) (-6)+12=
4) 8+7=
5) 3+4=
6) (-45)+9=
Convert 139 pounds to kilograms
Round answer to the nearest tenth.
Conversion table:
1 kilogram = 2.205 pounds
Answer: 63.1
Step-by-step explanation:
-7x = -28
solving one step equations
show your work
Answer:
x=4
Step-by-step explanation:
-7x=-28
-7 -7
x=4
Divide both sides by -7. A negative divided by a negative will give you a positive. So the answer would be x=4.
Answer:
x=4
you divide both sides by -7 to get the x by itself. -28 divided by -7 is 4.
What is
What is the measure of angle B?
A. 30°
C. 35°
Answer:
A
Step-by-step explanation:
Find mWYZ as well Find mACB please help with both. Thank you every much! Triangles, Need help, right now I’m does adding more stuff so it can stop saying 20 characters.
Answer:
m<WYZ = 23°
m<ACB = 87°
Step-by-step explanation:
Problem 1: Find WYZ
Given,
m<WVX = (3x - 7)°
m<VYZ = (16x - 3)°
∆WYZ ~ ∆WVX, therefore:
m<WYZ = m<WVX (corresponding angles of similar triangles are congruent)
m<WYZ = (3x - 7)° (substitution)
Create an equation to find the value of x.
m<WYZ + m<VYZ = 180° (linear pair)
(3x -7)° + (16x - 3)° = 180° (substitution)
Solve for x
3x - 7 + 16x - 3 = 180
Add like terms
19x - 10 = 180
Add 10 to both sides
19x - 10 + 10 = 180 + 10
19x = 190
Divide both sides by 19
19x/19 = 190/19
x = 10
m<WYZ = (3x - 7)
Substitute x = 10
m<WYZ = 3(10) - 7 = 30 - 7
m<WYZ = 23°
Problem 2: Find m<ACB
Given,
m<A = 62°
m<AED = (11x - 2)°
m<B = (6x + 13)°
∆ADE ~ ∆ACB, therefore:
m<AED = m<B (corresponding angles of similar ∆s are congruent)
(11x - 2)° = (6x + 13)°
Solve for x
11x - 2 = 6x + 13
Collect like terms
11x - 6x = 2 + 13
5x = 15
Divide both sides by 5
5x/5 = 15/5
x = 3
m<ACB + m<B + m<A = 180° (sum of ∆)
m<ACB + (6x + 13) + 62° = 180° (substitution)
Plug in the value of x and solve
m<ACB + (6(3) + 13) + 62° = 180°
m<ACB + (6(3) + 13) + 62° = 180°
m<ACB + (18 + 13) + 62° = 180°
m<ACB + 31° + 62° = 180°
m<ACB + 93° = 180°
Subtract 93 from both sides
m<ACB = 180° - 93°
m<ACB = 87°
Which of the following numbers is irrational?
What similarity rule can be used to prove the triangles are similar . plz help
Answer:
SAS
Step-by-step explanation:
Y=-6x+15 what is the slope of this function?
Answer:
slope = -6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
The line is moving down negatively, and by using rise over run, we can determine that the slope is -6/1
4cm
2cm
6cm
Find the area please
Step-by-step explanation:
ummm where is the pic? like bruh
Answer:
48 cm
Step-by-step explanation:
Multiply 4x2x6 and get the answer of 48 cm.
Chris drove 265 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 424 miles?
Answer:16
Step-by-step explanation:
265 / 10= 26.5 miles per gal.
424 miles / 26.5 mpg = 16 gallons
Steven earns extra money babysitting. He charges $34.50 for 6 hours and $46.00 for 8 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Answer:
y = 5.25x + 4
Step-by-step explanation:
(hours, money)
(6, 34.50)
(8, 46.00)
Slope: change in y/change in x
11.5/2
5.25
Y - intercept: b
46 = 5.25(8) + b
46 = 42 + b
4 = b
Put it all together
How many times greater is the value of the 8 in 38,900 than the value of the 8 in 57,080
it is 100 times greater because it is two places higher than 57,080
Can you help me with this one?
plz help me out with this idk if i did it right<3
Answer:
The first and third ones are correct
Step-by-step explanation:
Hope this helps (:
Answer:
The 4th and 5th one seem to be correct.
Greta writes a fraction that is greater than 1 and less than 2. Jullo writes a fraction that is greater than 3 and less than 4. Greta and Julio
find the product of the fractions they write, which statement about the value of the product must be true?
The product is greater than 1 and less than 2.
The product is greater than 3 and less than 4.
The product is greater than Julio's fraction
The product is less than Greta's fraction,
A store has 2 times as hooded sweatshirt as crewneck sweatshirts. The total number of sweatshirts is 36. How many hooded sweatshirts does the store have?
Answer:
Answer below
Step-by-step explanation:
It would be 36×2=72
since we're doubl8ng it so there would be 72 hooded sweatshirts
Answer:
24 Hooded Sweatshirts
Step-by-step explanation:
36/3=12
2x12=24 or hooded sweatshirts
1x12=12 or crewneck sweatshirts
12+24=36 total sweatshirts :)
Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it
Answer:
thanks
Step-by-step explanation:
<3
On two examinations, you have grades of 87 and 86. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of Ameaning a final average of at least 90 a. What must you get on the final to in the course? b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. your final average is less than , you lose your B in the courseDescribe the grades on the final that will cause this to happen
Step-by-step explanation:
We have
87+86+x
T is the total scores
n is number of tests done = 3
T/n is greater than or equal to 90
To get minimum test
T/n = 90
T = 90*n
= 90n
We solve for x
Remember n = 3
90x3 = 270
270 = 87+86+x
270 = 173+x
X = 270-173
X = 97
1.
X = 97
2.
You didn't add a value in your part b question. I used 80 though.
T/n < 80
T<80n
80x3= 240
T<240
87+86+x<240
X<240-173
X<67
X has to be less than 67 so we conclude that if x <=67 b grade will be lost.
The only expression 3(2x+7)-4(-3x+5) is equal (=) to
Answer:
18x + 1
Step-by-step explanation:
3(2x + 7) -4(-3x +5)
6x + 21 + 12x - 20
6x + 12x + 21 - 20
18x + 1
Answer:
18x+1
Step-by-step explanation:
3(2x+7)-4(-3x+5)= 6x+21+12x-20
Combine Like Terms:
6x+12x= 18x
21-20=1
=18x+1
6m + 4n + 3m - 6
What is the expression in simplest form
3
Assignment
♡ Find the product of 419 and 321
Find the product of 326 and 124
③ If a mais pay #354 for a book how mac
alle le gay for 7s boots?
④ The price of a big fan is 8494. How
much will 198 big fans cost?
③ Find the product of 3102 and 480
Dictionary Meaning
② Anounced
Step-by-step explanation:
1. 419*321=134499
2. 326*124 = 40424
3. 354* 7 = 2478
here mac paid 2478
4. 8494*198= 1681812
here it will cost 1681812
5. 3102*480=1488960
6. announced = to reveal something
Find the Unit Rate.
216 diving students to 12 instructors
Answer: 216 diving students to 12 instructors = 18 students per instructor.
Step-by-step explanation:
Is this relation a function? Justify your answer.
10
9
8
7
5
4
3
2
1
1 2 3
5
6 7
8 9 10
O A. No, because two points with the same y value have different x-
values
OB. No, because two points with the same x-value have different y
values
O C. Yes, because every x and y-value is positive,
D. Yes, because the number of x-values is the same as the number of
Answer:
i don't now
ok
please follow me
whoever gets this question right first gets brainiliest
5 people share 1/2 of a jar of salsa equally.
How much salsa does each person get?