______________________________
1.) Combine x and 3x:[tex]x+3x=4x[/tex]
- We combine the [tex](x)[/tex] variables because to get to the end sum of the equation, there can only be 1 variable. So to get the 1, you combine like terms.
2.) Add 19 to both sides:[tex]-19+19=[/tex] Cancels Out[tex]17+19=36[/tex]
- We do this to get 1 number left over. To do this you do the opposite of what you see. In this case we have a negative 19, so you add 19 on each side of the equals.
3.) Divide both sides by 4:[tex]4x[/tex] ÷ [tex]4=x[/tex][tex]36[/tex] ÷ [tex]4=9[/tex]
- We do this to get x alone. To do this you do the opposite of what you see. In this case we have [tex]4(x)[/tex] which is multiplying, so you divide by 4 on each side.
So your answer is [tex]\bold{x=9}[/tex].
______________________________
Exercise 4.3. Determine the exact probability of drawing a 10 from a shuffled pinochle deck. (In a pinochle deck, there are 48 cards. There are six values: 9, 10, Jack, Queen, King, Ace. There are two copies of each value in each of the standard four suits: hearts, diamonds, clubs, spades.)
Answer:
[tex]\frac{1}{6}[/tex] probability of drawing a 10 from a shuffled pinochle deck.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Total of 48 cards.
Of those, there are 2*4 = 8 cards that are 10. So
[tex]p = \frac{8}{48} = \frac{1}{6}[/tex]
[tex]\frac{1}{6}[/tex] probability of drawing a 10 from a shuffled pinochle deck.
Please help for instant brainliest.
Answer:
20,20 :)
Step-by-step explanation:
Answer:
20, 20 is the answer so D
Step-by-step explanation:
Its too Ez
Workers at a quarry are removing rock at a daily rate of 0.1%. There are 3.2 tons of rock when the work begins.
Which function can be used to find the number of tons of rock left at the end of d days?
Answer:
c
Step-by-step explanation:
Pls help I’ll brainlest
Answer:
30.5 feet / minute
Step-by-step explanation:
Rate of descent is the same as speed (of falling). The formula for speed is distance / time = speed
First, find how much it fell.
4595 - 3131 = 1464 feet
Divide the distance by the time.
1464 feet / 48 minutes = 30.5 feet / minute
1
A line has a slope of -1/2and a y-intercept of -2.
Answer:
Step-by-step explanation:
y + 2= -1/2(x - 0)
y + 2 = -1/2x + 0
y = -1/2x - 2
-1/2x = -2
x = 4
Can someone please solve number 6 for me it’s urgent
Answer:
Value of blank = 1 / (-5x)
Step-by-step explanation:
Given:
__ × (-5x) = 1
Find:
Value of blank
Computation:
Assume;
Blank = y
So,
y × (-5x) = 1
y = 1 / (-5x)
Value of blank = 1 / (-5x)
If the fifth term in a geometric sequence is 1∕27 and the common ratio is 1∕3, find the explicit formula of the sequence.
Question 14 options:
A)
an = (1∕3)n – 1 for n ≥ 1
B)
an = (3) ⋅ (3)n – 1 for n ≥ 1
C)
an = (3) ⋅ (1∕3)n – 1 for n ≥ 1
D)
an = (1∕27) ⋅ (1∕3)n – 1 for n ≥ 1
Answer:
The answer is B
Step-by-step explanation:
Pls help this is really important
Answer:
x = 30 I'm sure hope this helps
Frozen Taste ice cream factory wants to analyze if the customers like its new flavor, peanut butter chocolate chip. The probability that a customer likes the new flavor is .83. If a customer is asked to taste the flavor twice within 4 hours, then what is the probability that a customer likes this flavor the first time and the second time
Answer:
0.6889 = 68.89% probability that a customer likes this flavor the first time and the second time
Step-by-step explanation:
For each time the customer is asked, there are only two possible outcomes. Either they like the flavor, or they do not. Each event is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that a customer likes the new flavor is .83.
This means that [tex]p = 0.83[/tex]
What is the probability that a customer likes this flavor the first time and the second time
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.83)^{2}.(0.17)^{0} = 0.6889[/tex]
0.6889 = 68.89% probability that a customer likes this flavor the first time and the second time
On a sample tray, 6 out of 20 cake samples are chocolate.
What is the probability that a randomly selected piece of cake will be chocolate?
Answer:
6/20 = 30%
30% is the probability that a randomly selected piece of cake will be chocolate
The next day the gas tank in dad’s car holds 24 gallons. The gas tank in mom’s truck holds 50% less than that. How much gas does the truck’s tank hold?
24 gallons * 50%
24 gallons * .5
=12
24-12
= 12
thy answer is 12 .
Answer:
Mom's truck would hold 12 gallons.
Step-by-step explanation:
If you take 24 and divide it into 2 parts you would get your answer because 50% would be half of the whole number of that makes any sense
Which statement is true about the points shown on the number line.
Answer:
The top right one is correct
Step-by-step explanation:
Hope I helped
Answer: the top right answer is correct.
Step-by-step explanation:
IT'S FOR MIDDLE SCHOOOLLL PLZZZ HELPPPP
Tyler’s brother works in a shoe store. Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?
Answer:
22.5 i think
Step-by-step explanation:
Answer: it is 22.5
Step-by-step explanation:
2(3x + 2) = 2x - 1+x.
Answer:
x = -5/3
Step-by-step explanation:
Hope this helps!
Best of luck!♥
Which expression is equivalent to the product of 6 and y? *I NEED HELP ASAP*
a. 6+y
b. 6-y
c. 6/y
d. 6y
Answer:
B u got this!
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Can I have some help with this? Construct a linear function that has a slope of -3 and passes through the point (-2,3).
Answer:
-3x-3
Step-by-step explanation:
We want our equation to look like this
y=mx+b
we know that m= -3 so we just need to find b
We can start by plugging in the ordered coordinates into our equation
3=(-3)(-2)+b
Solve for b
3=6+b
b= -3
Which means our final equation is
y= -3x-3
What is an equation of the line that passes through the points (-7, 3)
and (-4, 3)?
Answer:
Step-by-step explanation:
(3-3)/(-4+7)= 0/3= 0
y - 3 = 0(x + 7)
y - 3 = 0
y = 3
Srry but I need help with this
If f(x) = 2x^3 – 5x^2 + 5, then what is the remainder when f(x) is divided by
x + 2?
Answer:
-31
Step-by-step explanation:
Do long division and make sure to put a place holder for x
Please help!!!!!! AAA
Answer:
D is correct
Step-by-step explanation:
1/12^3
Asha is hungry. She eats her best friend, Skye. She also eats 10 other people. 10% of them are female. How many males did Asha eat?
Answer:
9.9, if rounding 10
Step-by-step explanation:
1 (best friend) + 10 (other people)=11 (total people)
10% are female
90% are male
.9*11=9.9
Find the sum of 4x2 + 3x + 2 and 7x2 + 7x + 3.
Answer:
27 + 10x
you combine like terms
A large piece of iron has a density of 7.87 g/ml what is the density of a piece of iron that is two times heavier
Answer:
15.74
Step-by-step explanation:
7.87 times 2 = 15.74
the density of the other piece of iron is 15.74 g/ml.
Derek used 12 pencils during school week. He now has 86 pencils How many pencils did he have at the beginning of the school week
Answer:98
Step-by-step explanation:
Do mental math if she used 12 and now has 86 then all you do is add 12 and 86 and you get 98
Last month you spent 40$ on clothing. This month you spend 160% of what you spent last month. Set up a percent equation to model this situation. How much did you spend this month.
Choose correct answer below
A. 160%=percent•40
B. part=160%•40
C. 40=160%•whole
Answer:
part = 160% *40
Step-by-step explanation: I say this because the question asks how much you spent this month. This month you 160% OF WHAT you spent last month so 160% * 40 = what you spent this month
How is this
11% as a decimal??
Answer:
0.11
Step-by-step explanation:
11% as a decimal = 0.11
Find the length of the third side. If necessary, round to the nearest tenth.
10
11
Answer:
14.9
Step-by-step explanation:
The solution is 14.86
The length of the third side of the right angle triangle is 14.86
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be ΔABC
Now , the triangle ABC is a right angle triangle
And the value of the base of the triangle BC = 10
The value of the height of the triangle AB = 11
Now , the hypotenuse of the triangle AC is calculated from Pythagoras Theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
AC² = 11² + 10²
AC² = 121 + 100
AC² = 221
Taking square roots on both sides of the equation , we get
AC = 14.86
Therefore , the value of AC is 14.86
Hence , The length of the hypotenuse of the right angle triangle is 14.86
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ2
I can’t figure this out for the life of me.
Answer:
d
Step-by-step explanation:
ur answer is answer d
A 40-foot ladder is used to reach the top of a 24-foot wall. If the ladder extends 10 feet past the top of the wall, find the
measure of the angle that the ladder forms with the horizontal ground. Answer to the nearest degree
Answer:
53
Step-by-step explanation:
24+30= 54 which is about 53, so the answer would be 53.
Answer:
53
Step-by-step explanation:
The sin of a = opposite over hypotenuse.
sin(a)=24/30
sin(a)=0.8
a=The inverse sin of 0.8
a=53.13
Find values for a and b so that 2(3x+5)+ax=5(4x−b) is an identity equation.
Answer:
a=30 b=2 (not sure)
Step-by-step explanation:
Simplify first part : 2*3x+ 2*5= 6x+10+ax
Simplify 2nd part : 5*4x-5*b. 5x-5b
we have: 6x+10+ax=20x-5b.
we minus 6x from both sides
10+ax=14x+5b
Minus 10
ax=14x+5b-10
Divide x
a=14+5b-10
a=4+5b
divde 5
a/5= 4+b
perhaps it is 30
30/5=4+b
6=6
but i am not sure
