Answer:
8x-24
Step-by-step explanation:
8(x-3)
8 times x= 8x
8 times-3= -24
find the measure of angle 1
8x-4 and 6x+8
A. 136 degrees
B. 28 degrees
C. 44 degrees
D. 6 degrees
Answer:
c) 44°
Step-by-step explanation:
the angles labeled '8x-4' and '6x+8' are equal because they are corresponding; we can solve for 'x' by setting them equal to each other
8x - 4 = 6x + 8
2x - 4 = 8
2x = 12
x = 6
substitute 6 for 'x' in '6x+8'
6(6) + 8 = 36 + 8 = 44°
Dinners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is $54.05? How much was the tip?
Answer:
the tip was $8.11
Step-by-step explanation:
15% of 54.05 is 8.11 and if you want to know the amount before the tip was added it is 45.94 without tax
Hope this helped!!!
If x=4y -6 substitute the value of x into the expression and simplify-7x+3
-28y+45
-28y-39
-28y-45
-28y+39
Find the 8th term of the geometric sequence 7, 28, 112, ...
Given f(x) = x2 + 7x and g(x) = x4, choose
the expression for (fºg)(x).
Answer:
f(x4)=x8+7x4
Step-by-step explanation:
not a 100% sure tho
Find the length of the hypotenuse. Round your answer to the nearest hundredth
Answer:
c^2=a^2+b^2
=7^2+3^2
=49+9
=58
c^2=58
c=
[tex] \sqrt{58 = 7.6} [/tex]
the answer is C=7.62..
Answer:
The answer is C , 7.62
Step-by-step explanation:
[tex]a^{2} =b^{2} +c^{2} \\a^{2} =7^{2} +3^{2} \\a^{2} =49+9\\a^{2} =58\\a= \sqrt{58} \\a=7.62[/tex]
You are dealt 5 cards from a standard deck of 52 playing cards. In how many ways can you get.....
a. four of a kind?
b. Two different pairs
c. a pair of jacks and a pair of 8's
d. a pari of jacks or a pair of 8's but not both
Answer:
Probability of Four of a Kind
The probability of being dealt four of a kind is 0.0002400960384. On average, four of a kind is dealt one time in every 4,165 deals.
Probability of Two Pair
On average, players get two pair about one time in every 21 deals.
Step-by-step explanation:
Probability of Four of a Kind
Let's execute the analytical plan described above to find the probability of four of a kind.
First, we count the number of five-card hands that can be dealt from a standard deck of 52 cards. This is a combination problem. The number of combinations is n! / r!(n - r)!. We have 52 cards in the deck so n = 52. And we want to arrange them in unordered groups of 5, so r = 5. Thus, the number of combinations is:
52C5 = 52! / 5!(52 - 5)! = 52! / 5!47! = 2,598,960
Hence, there are 2,598,960 distinct poker hands.
We count the number of ways that five cards can be dealt to produce four of a kind. It requires three independent choices to produce four of a kind:
Choose the rank of the card that appears four times in the hand. A playing card can have a rank of 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, or ace. For four of a kind, we choose 1 rank from a set of 13 ranks. The number of ways to do this is 13C1.
Choose one rank for the fifth card. There are 12 remaining ranks, from which we choose one. The number of ways to do this is 12C1.
Choose a suit for the fifth card. There are four suits, from which we choose one. The number of ways to do this is 4C1.
The number of ways to produce four of a kind (Num4) is equal to the product of the number of ways to make each independent choice. Therefore,
Num4 = 13C1 * 12C1 * 4C1 = 13 * 12 * 4 = 624
Conclusion: There are 624 different ways to deal a poker hand that can be classified as four of a kind.
Finally, we compute the probability. There are 2,598,960 unique poker hands. Of those, 624 are four of a kind. Therefore, the probability of being dealt four of a kind (P4) is:
P4 = 624 / 2,598,960 = 0.0002400960384
The probability of being dealt four of a kind is 0.0002400960384. On average, four of a kind is dealt one time in every 4,165 deals.
Probability of Two Pair
To find the probability for two pair, we execute the same analytical plan that we've used to compute the other probabilities.
There are 2,598,960 distinct poker hands.
Next, count the number of ways that five cards can be dealt to produce two pair. It requires five independent choices to produce two pair:
Choose the rank for cards of matching rank. A playing card can have a rank of 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, or ace. For two pair, we choose 2 ranks from a set of 13 ranks. The number of ways to do this is 13C2.
Choose the rank of the remaining non-matching card. There are 11 remaining ranks, from which we choose one. The number of ways to do this is 11C1.
Choose suits for the first two-card combination. There are four suits, from which we choose two. The number of ways to do this is 4C2.
Choose suits for the second two-card combination. There are four suits, from which we choose two. The number of ways to do this is 4C2.
Choose a suit for the non-matching card. There are four suits, from which we choose one. The number of ways to do this is 4C1.
The number of ways to produce two pair (Numtp) is equal to the product of the number of ways to make each independent choice. Therefore,
Numtp = 13C2 * 11C1 * 4C2 * 4C2 * 4C1
Numtp = 78 * 11 * 6 * 6 * 4 = 123,552
Finally, compute the probability. There are 2,598,960 unique poker hands. Of those, 123,552 are two pair. Therefore, the probability of being dealt two pair (Ptp) is:
Ptp = 123,552 / 2,598,960 = 0.04753901561
On average, players get two pair about one time in every 21 deals.
1) During busy times, 60 potential customers per hour arrive at the booth (assume a Poisson distribution). A booth worker takes 3.75 minutes, on average, to meet the information needs of a potential customer (assume an exponential distribution). How many booth workers are required for the average potential customer to spend no more than 5 minutes waiting and being served
Answer:
Booth workers required = 4
Step-by-step explanation:
As given ,
Arrival rate = λ = 60 customers per hour
Time taken = 3.75 minutes
∴ we get
Average service rate = μ = [tex]\frac{60}{3.75}[/tex] = 16 customers per hour
Now,
Minimum numbers of booth workers required = [tex]\frac{60}{16}[/tex] = 3.75
As workers can not be in fraction
∴ Minimum number of booth workers required = 4
Joe-Bob wants to buy a car and will need to take out a loan in order to make the purchase. His current monthly income is $3,500 per month. His mortgage payment is $900 per month, and his student loan payment is $350 per month.
Note: You do not need to take taxes into consideration for this journal.
According to the affordability formulas given, can he afford to take out another loan?
When should he follow the affordability formulas? In what cases should he not?
How could taking out the car loan impact his other priorities?
Team A and Team B play in a competition.
Team A has twelve more points than Team B.
Team A has four times as many points as Team B.
How many points does each team have?
Team A: Team B:
Answer:
Team A has 16 points
Team B has 4 points
Step-by-step explanation:
let A = 12 + B
also, let A = 4B
therefore, since A = A we can say that 12 + B = 4B
12 + B = 4B
12 = 3B
B = 4
A = 12 + 4 or 16
Question 2. Is there a relationship between the lengths of AB CD AC and BD? If so, what is the relationship?
Answer:
Yes. AB = CD, and AC = BD.
Step-by-step explanation:
edmentum
Answer:
Yes. AB = CD, and AC = BD.
Step-by-step explanation:
The ratio of vegetarian items at the
restaurant to meat filled items is 1 to
3. If there are 18 meat filled items to
choose from, how many vegetarian items
are on the menu?
You have a job earning $1500 a month, m. What expression represents
the total amount you've earned?
Answer:
1500m is your answer
Answer:
1500m
Step-by-step explanation:
The number of months is m.
In m months, you earn $1500 * m.
The expression is
1500m
Emily bought 12 oranges from store to make orange juice. The total cost was $15. How much would it have cost if she only bought 9 oranges?
Answer:
$11.25
Step-by-step explanation:
12/15=9/x
x=45/4
x=$11.25
Answer: $11.25
Step-by-step explanation:
Look at the middle 9 of .999. What is the value of the 9 to it's right?
Answer:
The value would be thousandths.
Step-by-step explanation:
Please hurry it’s missing
Answer:
0.5 is the answer
Step-by-step explanation:
Answer:
½
Step-by-step explanation:
Convert the mixed numbers into improper fractions first.
how many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 and height 1 1/2 inches?
Answer: 360
Step-by-step explanation:
Given
the side length of the cube [tex]a=\frac{1}{4}\ inch[/tex]
The dimension of the box is [tex]1\times3 \frac{3}{4}\times 1 \frac{1}{2}=1\times\frac{15}{4}\times\frac{3}{2}\ inch^3[/tex]
the volume of each cube [tex]=a^3=(\frac{1}{4})^3[/tex]
No. of cubes that can be fit into the box [tex]=\dfrac{\text{vol. of box}}{\text{vol. of each cube}}[/tex]
[tex]\Rightarrow \dfrac{1\times \frac{15}{4}\times\frac{3}{2}}{\frac{1}{4}\times\frac{1}{4}\times\frac{1}{4}}=360[/tex]
Therefore 360 cubes can be fit into the box
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4, 14, 24,
Answer:
It is the arithmetic sequence and the common ratio is 10
Step-by-step explanation:
It is arithmetic sequence
This is because
-Geometric is multiplication
-arithmetic is addition
----
Now the common ratio/difference is 10 as it adds 10 each time
4, 4+10 (14), 14+10 (24)
PLS HURRY WILL GIVE BRAINLIEST 30 POINTS!! What is the solution to the system of equations graphed below?
Answer:
the solution to thay is when you poop it comes straight out ur butt but when u pee it comes straight out yk what use that example and you'll find the answer ad soon as possible
Evaluate the expression 3a/b - b/a for a=-1 and b=4.
Answer:
-1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3a/b - b/a
a = -1, b = 4
Step 2: Evaluate
Substitute in variables: 3(-1)/(4) - (-1)/4Multiply: -3/4 - (-1)/4Simplify: -3/4 + 1/4Add: -2/4Simplify: -1/26x5x2x3x4x5 please help me anyone I need it
Answer: 3600
Step-by-step explanation:
cdjfbef
the answer is 3600
Step-by-step explanation:
6×5×2×3×4×5
tue/false
The Place valueof Thedigit 5 in 26,59,360 in Ten Thousand
Answer: True.
Step-by-step explanation:
Here we have the number:
26,59,360
To find the place value of the 5, we first need to count the number of decimals at the right of the 5 (until we reach the decimal point)
For this case, at the left of the 5 we have 4 decimals (9, 3, 6 and 0)
Then the place value of the 5 in that number will be 10^4
this is equal to:
10^4 = (10)*(10)*(10)*(10) = 10,000
This means that the place value of the 5 is then thousand.
Then the statement is true.
Which of the statements are true?
6×32=6(3+2)=6(3)+6(2)
3×87=3(80+7)=3(80)+3(7)
12(48)=12(40+8)=1(40)+2(8)
14(75)=14(70+5)=14(70)+14(5)
9(56)=9(50+60)=9(50)+9(60)
Answer:
3×87=3(80+7)=3(80)+3(7)
14(75)=14(70+5)=14(70)+14(5)
above statement are true
HEY I NEE HELP WILL GIVE BRAINLIST
Answer:
I can help as welllll
Step-by-step explanation:
A blueprint has a scale of 1in:5ft. If a house is 30 inches on a blueprint, what would be the actual length of the house be?
Answer:
The answer is 91 inches or 7ft 7in.
Why is 1.4 a rational number? Please help with a explanation!
Answer:
1.4 is a rational number because it has a terminal decimals. it is the same as 14/10
Answer:
1.4 is a rational number because it can be written as the ratio of 4 to 10.
60° X X X = degrees. Pls help!
Answer:
60
Step-by-step explanation:
Equilateral triangles always have 60, 60, 60 degrees
180-60=120
120/2=60
x=60
What is the simplified form of each expression?
21. 2x + 5x + 4x
A. 11 + 3x
B. 7x
C. 11x
D. 7x + 4x
Answer:
C
Step-by-step explanation:
They all share a common variable so you can add them all together to get the simpliest form.
What is the value of sin(A)?
B
Y
A
10
6
Х
8
N
Answer:6/10
Step-by-step explanation:
The value of sin(A) is 0.6 or about 36.87°.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
we are given that;
The two triangles
Now,
To find the value of sin(A), you need to use the sine function formula, which is:
sin(A) = opposite/hypotenuse
The opposite side of angle A is YN and the hypotenuse is AN. You can use the Pythagorean theorem to find the length of AN:
AN 2 = AY 2 + YN 2 AN 2 = 8 2 + 6 2 AN 2 = 64 + 36 AN 2 = 100 AN = √100 AN = 10
Therefore, sin(A) = YN/AN = 6/10 = 0.6
You can also use a calculator to find the angle A using the inverse sine function:
sin −1 (0.6) = A A ≈ 36.87°
Therefore, by trigonometric ratios the answer will be 0.6 or about 36.87°.
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ7
Evaluate 5p when p= 11.
Answer:
So would that be 5(11) which is 55
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
if p=11 then the expression is 5(11) which is equal to 55.
