Answer:
-15
Step-by-step explanation:
We proceed as follows;
In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.
Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.
Thus, we have;
2a(b-3) + 5b + _
Now, putting -15 will give us the same expression in the first bracket and this gives us the following;
2a(b-3) + 5b-15
2a(b-3) + 5(b-3)
So we can have ; (2a+5)(b-3)
Hence the constant used is -15
shirley purchased a plot of land for $19,500. the land appreciates about 3.9% each year. what is the value of the land after 5 years
Answer:
$23,302.50
Step-by-step explanation:
Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________
A) Replaced
B) Not Replaced
Answer:
a. With replacement
1/2197
b. Without replacement
1/5,525
Step-by-step explanation:
Okay, here is a probability question.
The key to answering this question is by knowing the number of aces in a deck of cards.
There is 1 ace per suit, so there is a total of 4 aces per deck of cards.
So, mathematically the probability of picking an ace would be;
number of aces/ total number of cards = 4/52 = 1/13
a. Now since the action is with replacement; that means that at any point in time, the total number of cards would always remain 52 even after making our picks.
So the probability of picking three aces with replacement would be;
1/13 * 1/13 * 1/13 = 1/2197
b. Without replacement
what this action means is that after picking a particular card, we do not return the picked card to the deck of cards.
For the first card picked, we will be having a total of 4 aces and 52 total cards.
So the probability of picking an ace would be 4/52 = 1/13
For the second card picked, we shall be left with selecting an ace out of the remaining 3 aces and the total remaining 51 cards
So the probability will be 3/51 = 1/17
For the third and last card to be picked, we shall be left with picking 1 out of the remaining 2 aces cards and out of the 50 cards left in the deck.
So the probability now becomes 2/50 = 1/25
Thus, the combined probability of picking 3 aces cards without replacement from a deck of cards will be;
1/13 * 1/17 * 1/25 = 1/5,525
Using the binomial and the hypergeometric distribution, it is found that the probabilities are:
a) 0.0005 = 0.05%.
b) 0.0002 = 0.02%.
Item a:
With replacement, hence the trials are independent, and the binomial distribution is used.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.For this problem:
In a deck, there are 52 cards, of which 4 are Aces, hence [tex]p = \frac{4}{52} = 0.0769[/tex]3 cards are drawn, hence [tex]n = 3[/tex].The probability is P(X = 3), then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.0769)^{3}.(0.9231)^{0} = 0.0005[/tex]
0.0005 = 0.05% probability.
Item b:
Without replacement, hence the trials are not independent and the hypergeometric distribution is used.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
Deck of 52 cards, hence [tex]N = 52[/tex].4 of the cards are Aces, hence [tex]k = 4[/tex].3 cards are drawn, hence [tex]n = 3[/tex].The probability is also P(X = 3), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,52,3,4) = \frac{C_{4,3}C_{48,0}}{C_{52,3}} = 0.0002[/tex]
0.0002 = 0.02% probability.
To learn more about the binomial and the hypergeometric distribution, you can take a look at https://brainly.com/question/25783392
(b-2)x= 8
In the given equation, b is a constant. If the equation
has no solution, what is the value of b ? A) 2
B) 4
C) 6
D) 10
Answer:
2
Step-by-step explanation:
(2-2)x = 8
(0)x = 8
x = 8/0
no solution
The value of "b" that would result in the equation having no solution is A) 2.
To determine the value of "b" that would result in the given equation having no solution, we need to look at the coefficient of "x" in the equation (b - 2) and the constant term on the other side (8).
The equation is: (b - 2)x = 8
For the equation to have no solution, the coefficient of "x" (b - 2) must be 0. This is because when you multiply any number by 0, the result is always 0, meaning the left-hand side of the equation becomes 0x, which simplifies to 0. However, the right-hand side is 8, and 0 is never equal to 8.
Therefore, to make (b - 2) equal to 0, we can set:
b - 2 = 0
Adding 2 to both sides:
b = 2
So, the value of "b" that would result in the equation having no solution is A) 2.
To know more about equation"
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HELPP AGAIN PLEASE!! 2/5 (10c -35) (the 35 is negative)
Answer:
4c - 14
Step-by-step explanation:
2/5 (10c -35)
Distribute
2/5 * 10c - 2/5 * 35
4c - 14
Answer:
See below.
Step-by-step explanation:
[tex]\frac{2}{5} (10c-35)\\\text{Distribute}\\=\frac{2}{5}(10c)+\frac{2}{5}(-35) \\=\frac{20}{5} c-\frac{70}{5}\\ =4c-14[/tex]
Determine the intercepts of the line.
-6x + 3y = -7
z-intercept:
y-intercept:
Answer:
(7/6, 0) and (0,-7/3)
Step-by-step explanation:
I think you mean x-intercept and y-intercept not z-intercept and y-intercept. The first step is to convert the equation to slope intercept form:
-6x+3y=-7
3y=6x-7
y=6/3x-7/3
y=2x-7/3
Now, to find the x-intercept we find the value of x when y is 0.
0=2x-7/3
7/3=2x
7/6=x so the x-intercept is (7/6,0)
Now, to find the y-intercept we find the value of y when x is 0.
y=2(0)-7/3
y=0-7/3
y=-7/3 so the y-intercept is (0,-7/3)
betty's bakery calculates the total price d in dollars for c cupcakes using the equation d=2c. What does 2 mean in this situation?
Answer:
2 means dollars per cupcake
Step-by-step explanation:
it makes sense because it says d=2c which is
money = $2 per cupcake
so if their are 2 cupcakes then
d=2*2 = $4
Factor 4 out of 4x + 12.
Answer:
4(x + 3)
Step-by-step explanation:
So, to solve these questions is pretty simple.
4 times what equals 4x, and 4 times what equals 12?
Well,
4 times x = 4x, and 4 times 3 = 12.
soo.
4(x + 3)
Answer:
4x+12 factor 4 out of the equation
4(x+3)19) : -7x=5.6⇒ x=-5.6/-7
x=5.6/7=0.8x/8- 5/2=5/2 common factor
(x-20)/8 =5/2
2(x-20)=40
2x-40=40
2x=80
x=80/2=40is the square root of 2 between 1.4 and 1,5
Answer:
The square root is around 1.414, so yes, it is between 1.4 and 1.5.
Step-by-step explanation:
44) 93
O 2 remainder of 6
2 remainder of 7
2 remainder of 4
2 remainder of 5
A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, with replacement, from the basket?
Answer:
144/441
Step-by-step explanation:
There are 18+24=42 total socks
There are 24 black socks
So the probability is (24/42)*(24/42)=12/21 * 12/21 = 144/441
Answer:
189
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!! I NEED HELP!!!!!
Answer:
D. Both functions are increasing but function g increases at a faster average rate
Step-by-step explanation:
Let's get the values of g(x) for each value of x
X= -2
g= -18(1/3)^-2 +2
g =-160
X= -1
g= -18(1/3)^-1 +2
g= -52
X= 0
g= -18(1/3)^0 +2
g= -16
X= 1
g= -18(1/3)^1 +2
g= -4
X= 2
g= -18(1/3)^2 +2
g= 0
Comparing the first and last values of both f and g we can see clearly that function g has a drastic change in it's rate.
What is the process called?
Answer:
the distributive property. or distribution
hope this helps! :)
Simplify the expression in simplest form (3x - 5)x4 +2
Answer:
12x-8
Step-by-step explanation:
We can use PEMDAS to solve this expression.
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
The first step to do is use the distribute property to simplify the parenthesis.
The second step will be to simplify the exponent, but there aren't any so we can skip that step.
The third is to multiply but we can skip that and division while we are at it because there isn't any we can do to simplify.
The fourth step will be to add -20 with 2. We then get -18.
And finally, we have our answer
(3x - 5)x4 +2
12x-20+2
12x-18
CAN U PLS HELP ME OUT I WILL GIVE BRAINLIST AND A THANK YOU!!!!!! :)
Answer:
Step-by-step explanation:
Vertically opposite angles are equal
x = 25°
write a trinomial that has a factor of X +3 and a GCF of -5x
Answer:
it is - 15 please mark me brainliest
For the rational equation,[tex]\frac{x^{2}+5x+6}{x+3}=1[/tex] , what is a valid value of x?
Answer:
-3 or -1 is a valid value for x
Step-by-step explanation:
We start by cross multiplying;
So the expression becomes;
x^2 + 5x + 6 = 1(x + 3)
x^2 + 5x + 6 = x + 3
x^2 + 5x -x + 6-3 = 0
x^2 + 4x + 3 = 0
x^2 + x + 3x + 3 = 0
x(x + 1) + 3(x + 1) = 0
(x + 3)(x + 1) = 0
x + 3 = 0 or x + 1 = 0
x = -3 or x = -1
FACTOR THIS EXPRESSION AS FAR AS POSSIBLE -385y IM GIVING THANKS AND BRAINLIST IF CORRECT. PLEASE HELP ME GUYS
Answer:
-385y
Step-by-step explanation:
This expression cannot be factored with rational numbers, so -385y is your answer.
please this urgent!!
Answer:
Step-by-step explanation:
1)First convert mixed fraction to improper fraction and them prime factorize
[tex]6\frac{1}{4} = \frac{25}{4}\\[/tex]
[tex]\sqrt{\frac{25}{4}}= \sqrt{\frac{5*5}{2*2}}= \frac{5}{2} = 2 \frac{1}{2} \\\\[/tex]
2)
[tex](2 \frac{1}{2}- 1 \frac{1}{2})*1 \frac{1}{7}=( \frac{5}{2}- \frac{3}{2})* \frac{8}{7}\\\\\\= \frac{2}{2}* \frac{8}{7}\\\\=1* \frac{8}{7}= \frac{8}{7}\\\\\\=1 \frac{1}{7}[/tex]
3) 0.00706 = 7.06 * [tex]10^{-3}[/tex]
4) 144 = 12 * 12
12 = 6*2
6 = 2*3
Prime factorization of 144 = 2 * 3 * 2 * 2 * 3 *2
= 2⁴ * 3²
5) To find LCM, prime factorize 96 & 144
96 = 2 * 2 * 2 * 2 * 2 * 3 = 2⁵ * 3
144 = 2⁴ * 3²
LCM = 2⁵ * 3² = 32 * 9 = 288
6) HCF
105 = 7 * 5 * 3
135 = 5 * 3* 3 * 3
180 = 5 * 3 * 3 * 2 * 2
HCF = 5 * 3 = 15
7) 24 = 3 * 2 * 2 * 2 = 3 * 2³
36 = 3 * 3 * 2 * 2 = 3² * 2²
40 = 5 * 2 * 2 * 2 = 5 * 2³
LCM = 5 * 2³ * 3² = 5 * 8 * 9 = 360
HCF = 2² = 4
Difference = 360 - 4 = 356
8) Multiply each digit of the binary number by the corresponding power of 2, solve the powers and add them all
1111 = 1 *2³ + 1*2² + 1*2¹ + 1*2° = 8 + 4 + 2 + 1 = 15
Ans: 15
9) 36₇ = 102₅
10) 6.9163 = 6.916
I knew only this much
hope it's helpful
:)
A 4-pack of greeting cards costs $7.40. What is the unit price?pls answer fast
Answer:
The unit price of the problem is that one pack of greeting cards costs $1.85
Step-by-step explanation:
In order to find the unit rate, you have to divide the price by the quantity of the product. So, we will divide 7.40 by 4 so we can see the price of one pack.
7.40 ÷ 4 = 1.85
So, one pack of greeting cards costs $1.85 which is also our unit price.
Answer:
1.85
Step-by-step explanation:
First, divided the money ( $7.40 ) by the whole number ( 4 )
Then, you will receive your answer
ux=x+y/k, solve for x
Answer:
x = y/( ku-1)
Step-by-step explanation:
Here in this question, we are asked to solve for x.
we have;
Ux = x+ u/ k
cross multiply;
k * Ux = x + y
kUx = x + y
kUx- x = y
x(KU-1) = y
x = y/( ku-1)
Please answer answer question
Answer:
The correct answer is
Step-by-step explanation:
11 square centimeters.
Hope this helps....
Have a nice day!!!!
Katherine's class is selling raffle tickets for $3 to raise money for charity. Katherine's class raised $504. Which equation would you use to find the number of tickets sold?
Hey there! I'm happy to help!
Let's represent each ticket with the variable t. For each ticket sold, there will be 3 dollars added to the total. So, if you multiply the number of tickets by 3, you will have your total.
This gives us the following equation.
3t=504
We could use this equation to find the number of tickets sold by dividing both sides of it by 3, which isolates the t, showing us that t=168.
Have a wonderful day!
Answer:
$504 / $3 = t
Step-by-step explanation:
t = total tickets sold
If each ticket cost $3 and the class raised $504, just divide the total amount by the cost.
I hope this helps you! Please tell me if I am wrong!
[tex]\sqrt{\frac{4e}{3f} }[/tex]
Answer:
2√e√3√f / 3f
Step-by-step explanation:
√4√e / √3√f
2√e / √3√f * (√3√f / √3√f)
2√e√3√f / 3f
How to do this question plz answer me step by step plzz plz plz plz
Answer: 25.6
First, notice that there is 1 adult and 2 children.
A normal adult ticket costs 24. But it's 1/3 off, so 24 * 1/3 = 8 off. That means with the Railcard, it only costs 24 - 8 = 16.
Next, one child ticket costs 12. But it's 60% = 3/5 off, so 12 * 3/5 = 7.2 off. That means with the Railcard, it only costs 12 - 7.2 = 4.8.
Remember there are 2 children, so we multiply by 2 to get 4.8 * 2 = 9.6 for the children.
Final answer: 1 adult + 2 children = 16 + 9.6 = 25.6.
Hope that helped,
-sirswagger21
Answer:
£25.60
Step-by-step explanation:
Adult tickets cost £24 and ⅓ is off the adult tickets according to the Family Railcard. That is:
24 × ⅓ = £8 is removed from the adult tickets. Therefore:
£24 - £8 = £16
Child tickets cost £12 and 60% is off the child tickets according to the Family Railcard. That is:
12 × 60/100 = £7.20 is removed from the child tickets. Therefore:
£12 - £7.20 = £4.80
To find the total cost of Mr. Brown spent:
1 child = £4.80
2 children = ?
4.80 × 2 = £9.60
1 adult = £16
£16 + £9.60
= £25.60
Mr. Brown spent £25.60 in total.
What is the justification for step 3 in the solution process?
0.8a - 0.1 a= a - 2.5
Step 1: 0.7a= a - 2.5
Step 2: -0.3a = -2.5
Step 3:
a= 8.3
OA.
the division property of equality
OB
B. combining like terms
O c. the subtraction property of equality
OD. the addition property of equality
Answer:
c. the subtraction property if equality
Step-by-step explanation:
i just did this and got it right
The justification for step 3 in the solution process is the division property of equality option (A) the division property of equality is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
0.8a - 0.1 a = a - 2.5
The above equation represents the linear equation in one variable.
Step 1: 0.7a = a - 2.5 (adding like terms)
Step 2: -0.3a = -2.5 ( subtraction property of equality)
Step 3: a = 8.3 (the division property of equality)
Thus, the justification for step 3 in the solution process is the division property of equality option (A) the division property of equality is correct.
Learn more about the linear equation here:
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(x2 - 41)2 + (yz - Yı) to the find the length of the segment
62. Use the distance formula d =
from (6,0) and (-5, 4).
Answer:
√137
Step-by-step explanation:
[tex](x_1, y_1) = (6, 0)\\(x_2, y_2) = (-5, 4)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d = \sqrt{(-5-6)^2+(4-0)^2}\\ d = \sqrt{(-11)^2+(4)^2}\\ d = \sqrt{121+16}\\ d = \sqrt{137}\: or \:11.7[/tex]
Sum and Product of zeroes of the quadratic polynomial 16s² - 16s + 4 respectively is:Sum and Product of zeroes of the quadratic polynomial 16s² - 16s + 4 respectively is:
Answer:
The sum and product of zeroes are 1 and 1/4, respectively.
Step-by-step explanation:
To determine the zeroes of the quadratic polynomial, let equalize the polynomial to zero and solve in consequence:
[tex]16\cdot s^{2}-16\cdot s + 4 = 0[/tex]
By the General Quadratic Formula:
[tex]s_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot (16)\cdot (4)}}{2\cdot (16)}[/tex]
[tex]s_{1,2} = \frac{1}{2}[/tex]
Which means that zeroes are [tex]s_{1}=s_{2}=\frac{1}{2}[/tex].
The sum and product of zeroes are, respectively:
[tex]s_{1}+s_{2} =\frac{1}{2}+\frac{1}{2}[/tex]
[tex]s_{1}+s_{2} = 1[/tex]
[tex]s_{1}\cdot s_{2} = \left(\frac{1}{2} \right)^{2}[/tex]
[tex]s_{1}\cdot s_{2} = \frac{1}{4}[/tex]
The sum and product of zeroes are 1 and 1/4, respectively.
Can u guys answer question 2 pls
Answer:
"2.93BAR
LET X=2.93BAR
10X=29.393BAR
100X=293.93BAR
NOW WE WILL SUBTRACT THE FIRST EQUATION FROM THIRD EQUATION
100X=293.93BAR
X= 2.93BAR
99X=291.00BAR
IT CAN ALSO BE WRITTEN LIKE
X=291/99"
This was an answer from the same question someone else asked.
This answer was given by grvbundela008p3f6id
Step-by-step explanation:
solve for x 13(x-3)=39
Answer:
x=6
Step-by-step explanation:
13(x-3)=39
Divide each side by 13
13/13(x-3)=39/13
x-3 = 3
Add 3 to each side
x-3+3 = 3+3
x = 6
Answer:
x=6
Step-by-step explanation:
expanding we get
13x-39=39
13x=39+39
13x=78
x=78/13
x=6
Helpppppppppppppppp plzzz
Answer:
$0.56, or 56¢.
Step-by-step explanation:
According to the picture, there are two dimes, two nickels, a penny, and a quarter.
A penny is worth $0.01.
A nickel is worth $0.05.
A dime is worth $0.10.
A quarter is worth $0.25.
2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.
So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!
Hope this helps!
