Answer:
x=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(x−6)+12=20
(4)(x)+(4)(−6)+12=20(Distribute)
4x+−24+12=20
(4x)+(−24+12)=20(Combine Like Terms)
4x+−12=20
4x−12=20
Step 2: Add 12 to both sides.
4x−12+12=20+12
4x=32
Step 3: Divide both sides by 4.
4x
4
=
32
4
A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the probability that it is purple. Simplify your answer completely Help Resources P(purple) = ? Enter
Answer:
red=42 green=45 yellow=20 purple=32.
total number=121
p(that is purple)=32/121 =3.78
-3X + 24 = 48 X=
What would this equal?
Answer:
x=-[tex]\frac{24}{51}[/tex]
Step-by-step explanation:
-3x+24=48x
-3x-48x=-24
-51x=24
x=-[tex]\frac{24}{51}[/tex]
What is the measure of angle N?
=========================================================
Work Shown:
Apply the law of sines
sin(N)/MO = sin(O)/MN
sin(N)/18 = sin(17)/6
sin(N) = 18*sin(17)/6
sin(N) = 0.87711511416821 ................. which is approximate
N = arcsin(0.87711511416821)
N = 61.296295678111
N = 61 degrees approximately
----------------------
Notes:
Arcsine is the same as inverse sine. Your calculator is likely to have a button labeled [tex]\sin^{-1}[/tex] to indicate inverse sine.There are two solutions to sin(N) = 0.877; however, the other solution for N is larger than 90. This triangle your teacher is showing appears to be an acute triangle where every angle is less than 90 degrees. Technically two triangles are possible with these current given sides and angle.solve 2x+6=34 i have no idea pls exsplain and help me :)
Answer:
14
Step-by-step explanation:
okay.. so basically you have 2x+6=34 right? so basically i’m gonna tell you the easiest way to do this
so you’re gonna start off by separating the 2x from the 6=34.
now that you’ve done that, let’s focus on the 6=34. so to get your answer, start by subtracting 6 from 34 so (34 - 6 = 28)
now that you’ve got that, keep the number 28 in mind. youre gonna want to take 2 and multiply by x. but 2x = 28, so what do you multiply by 2 to make 28? 14. so x is 14. to check your work, let’s see.
2 x 14 + 6 = 34?
2 x 14 = 28 + 6 = 34.
34 = 34
so, x is 14. hope this helped!
3(n + 7) i need this in step by step pls help me
Answer: 3n+21
Step-by-step explanation: it’s the distributive property so you multiply the number outside the parentheses times the numbers or number inside the parentheses
Answer:
3n+21
IF the question required =0 then move the 21 to the other side
and divide both sides by 3 and x would equal to -7
Step-by-step explanation:
3(n+7)
use the distributive property, so multiply 3 with n and 7
3n+21
If there are 24 cats in the exhibit, how many tigers do you have?
Answer:
8
Step-by-step explanation:
If you have 8 loins and 4 tigers you add those up, you now have 12, if you have 24 cats that means that you double that, 12 x 2 =24 (boom) so now you know you just have to double 4 into 8.
Because for every 8 loins there are there are 4 tigers.
(double trouble)
Carlos has a $20 bill. He wants to buy his mom something for her birthday. He uses part of the
money to buy a some flowers. The flowers cost $15.99. He also wants to use the rest of the money
to buy some chocolate candies. Each chocolate costs $0.50. Which of these inequalities describes
the situation, where n is the number of chocolates Carlos is able to buy?
A) 15.99 -0.50n S 20
B) 15.99 -0.50n 20
C) 15.99 +0.50ns 20
D) 15.99 +0.50n > 20
Answer:
D) $15.99 +$0.50n> $20
Step-by-step explanation:
Find the surface area.
13.5 in
9 In
9 in.
10 in.
the surface area of the body is approximately 739.72 square inches. first find the area of the two triangles (base and top) using Heron's formula
what is surface area ?
Surface area is the total area of all the faces or surfaces of a three-dimensional object. It is the sum of the areas of all the faces of the object, including the top, bottom, and sides. Surface area is usually measured in square units, such as square inches or square meters.
In the given question,
Let's first find the area of the two triangles (base and top) using Heron's formula:
For the base triangle with side lengths 9, 10, and 13.5:
s = (9 + 10 + 13.5)/2 = 16.25
Area = √(s(s-9)(s-10)(s-13.5)) = 35.44 square inches
For the top triangle, the side lengths are the same, so the area is also 35.44 square inches.
Now, let's find the area of the four sides. We can divide the body into two trapezoids and two triangles. The trapezoids have heights of 9 inches and bases of 9 and 10 inches. The triangles have a base of 13.5 inches and a height of the slant height of the trapezoid, which we can find using the Pythagorean theorem:
h = √(13.5² - (10-9)²) = √(146.25) = 12.1 inches
So, the area of each trapezoid is:
(9/2)*(9+10)*√(146.25 - 9.5²) = 252.28 square inches
And the area of each triangle is:
(1/2)13.512.1 = 81.94 square inches
Finally, the total surface area is the sum of all these areas:
35.44 + 35.44 + 252.28 + 252.28 + 81.94 + 81.94 = 739.72 square inches
Therefore, the surface area of the body is approximately 739.72 square inches.
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An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.
For the following questions, pick the correct value rounded to the nearest hundredth.
What is the probability that Sam will be upgraded exactly 3 times in his next 20 flights?
What is the probability that Sam will be upgraded at most 4 times in his next 20 flights?
What is the probability that Sam’s first upgrade will occur on the third flight?
Answer:
b
Step-by-step explanation:
a) The probability that Sam will be upgraded exactly 3 times in his next 20 flights is 19.01 %
b) The probability that Sam will be upgraded at most 4 times in his next 20 flights is 95.68 %
c) The probability that Sam’s first upgrade will occur on the third flight is 0.0729
What is a Binomial Distribution?
The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability of getting a coach-class ticket be p
The value of p = 0.10
a)
The probability that Sam will be upgraded exactly 3 times in his next 20 flights
The number of trials = 20
The probability of success p = 0.10
The probability of failure q = 1 - p
The probability of failure q = 0.90
x = 3
Substituting the values in the equation , we get
P ( 3 ) = [ 20! / ( 17 )! 3! ] ( 0.10 )³ ( 0.90 )¹⁷
P ( 3 ) = 0.1901
P ( 3 ) = 19.01 %
b)
The probability that Sam will be upgraded at most 4 times in his next 20 flights
The number of trials = 20
The probability of success p = 0.10
The probability of failure q = 1 - p
The probability of failure q = 0.90
x ≤ 4
Substituting the values in the equation , we get
P ( x ≤ 4 ) = [ 20! / ( 16 )! 4! ] ( 0.10 )⁴ ( 0.90 )¹⁶
P ( x ≤ 4 ) = 0.9568
P ( x ≤ 4 ) = 95.68 %
c)
The probability that Sam’s first upgrade will occur on the third flight
A = ( 0.9 ) ( 0.9 ) ( 0.9 ) ( 0.1 )
A = 0.0729
A = 7.29 %
Hence , the solution is calculated by binomial distribution
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13. McKenzie gets a base pay of $1,800 per month. She also earns 12%
commission on the amount of car sales. If she sells $45,000 worth of cars,
how much money does she make in one month? *
$18,000
$45,000
$7,200
$5,400
Answer:
The answer is 7,200...........
Does anyone understand what to do here?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
There are several possible ways to describe the "type" of a polynomial. Here, since there is a separate column for "degree", we assume that "type" refers to the number of terms.
Polynomials with 1, 2, or 3 terms are called, respectively, monomial, binomial, and trinomial. The first two expressions listed have 1 term only, so are monomials. The last expression has 3 terms, so is a trinomial.
__
The coefficients are the constant multiplier of the term. Some say a "constant", such as the -8 in the last expression, is not considered a coefficient, because there are no variables that it is multiplying. Here, we have listed it among the coefficients in that expression.
__
The degree of a term is the sum of the degrees of the variables in the term. For terms with only one variable, it is the exponent of that variable. For terms such as the second expression, the degree is the sum of the exponents: 3+4 = 7. The degree of a polynomial with more than one term is the highest degree of all the terms.
is the point 15,4 a solution to the system?
y=2x+4
Answer:
y8
Step-by-step explanation:
rebecca has 6 yards of ribbon it takes 3/8 to wrap one package how many packages can see make
Answer:
She will have 8 pieces.
Hope you find this helpful!
Answer:
8 packages
Step-by-step explanation:
Giving points out help me
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
0.1
9. Carmen spent $96 on four concert tickets,
How much was each ticket?
+
Answer:
$24
Step-by-step explanation:
96 divided by 4
Each ticket cost 24 dollars
Answer:
$24 for each concert ticket.
Step-by-step explanation:
Please answer the question in the image
One of the legs of a right triangle measures 2 cm and its hypotenuse measures 18 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
17.9
Step-by-step explanation:
Pls help I need to get a good grade I need to pls help
Classify the polynomial by term and degree
4x - 9x2 + 2x3 + 15
Answer:
Cubic Polynomial
Step-by-step explanation:
The degree is the highest exponent in the equation. (So, 3.)
This makes it cubic.
Anything above three terms is just considered a polynomial.
Hence, Cubic Polynomial.
Rudy has 10 white seashells 23 pink seashells and 21 brown seashells if he divides his seashells equally between 3 friends how many seashells will each friend get?
Answer:
21 shells
Step-by-step explanation:
10+23+21=64
64/3=21.33
always round down, you'll have one left over
Answer:
18
Step-by-step explanation:
10+23+21= 54
54/3=18
the product of 2x^3 and 6x^5 is ?
Option Of Answers are
1. 10x^8
2. 12x^8
3.10x^15
4. 12x^15
Answer:
[tex]12x^{8}[/tex]
Step-by-step explanation:
Calculate the coefficient by multiplying the numbers:
2 x 6 = 12
Calculate the exponents by adding the numbers:
5 + 3 = 8
Therefore, the coefficient is 12 and the exponent is 8. You get,
[tex]2x^{3} .6x^{5}=12x^{8}[/tex]
A rectangular prism measures 3 1/2 cm long, 2 1/2 cm wide, and 1 1/2 cm high. How many cubes with side lengths of image cm are needed to fill the prism?
A.13 cubes
B.35 cubes
C.6 cubes
D.105 cubes
Answer:
D. 105
Step-by-step explanation:
D
A. 16
B. 8 sqr root of 3
C. 8 sqr root of 3/3
D.16 sqr root of 3
E. 24
I need help plz
9514 1404 393
Answer:
C. 8√3/3
Step-by-step explanation:
It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...
1 : √3 : 2
That is the short leg is 1/√3 times the length of the longer leg.
8(1/√3) = 8(√3/3) . . . . . matches choice C
Find the product and the quotient. 1/2 x 1/5 and 1/5 divided by 2
Answer:
1/2×1/5=1/10
1/5÷2=1/5×1/2=1/10
Answer:
1/2 x 1/5 would be 1/10 and 1/5 divided by 2 would be 1/10
Step-by-step explanation:
I NEED TO TURN THIS IN BEFORE 8:15 PLEASE HELPPP
Answer:
4
Step-by-step explanation:
What is the weight shown by the arrow? (in grams please)
Answer:
375 grams
Step-by-step explanation:
¯\_ʘ‿ʘ_/¯.......
Find two integers whose sum is -3 and product is -70
Answer:
(-10) and 7
Step-by-step explanation:
-3 = (-10) +(7)= -3 (because + and - give you a - )
-70 = (-10) x (7)= -70
hope it answers your question correctly.
5/21 Marks
You can buy jars of the same jam in two sizes.
Large Jar
Small Jar
440g for £1.54
340g for £1.26
By considering the price per gram, work out
which jar is the best value for money.
Answer:
large jar
Step-by-step explanation:
large jar= £1.54 (divide) 440= 0.0035
small jar= £1.26 (divide) 340= 0.0037
as the large jar cost less (0.0035 > 0.0037) the large jar is the best value for money
Taylor is making cookies. The recipe calls for 2/3 cups of sugar. She wants to increase the recipe by 1 1/2 more cups of sugar and use 2/3 cups of sugar to sprinkle onto the cookies and 1 1/2 cups of sugar for the cookie dough.
How many TOTAL cups of sugar would Taylor need after she adds 1 1/2 more cups of sugar to the recipe?
Answer:
Sex kar ha to bata do bhai yaar follw karo bata dungi
2
&
LS
Find the slope of the line that passes through the points (1,-4) and (3,-1).
A)5/4
B)2/3
C)-3/2
D)3/2
Answer:
The slope of the line = m = 3/2
Hence, option D is correct.
Step-by-step explanation:
Given the points
(1,-4)(3,-1)Determining the slope between (1,-4) and (3,-1)
(x₁, y₁) = (1,-4)
(x₂, y₂) = (3,-1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-1 - (-4)] / [3 - 1]
= [-1 + 4] / [2]
= 3/2
Thus, the slope of the line = m = 3/2
Hence, option D is correct.