Answer:
x = 5
Step-by-step explanation:
Add 13-8x to both sides of the equation, then divide by the coefficient of x.
2 +8x +13 -8x = 11x -13 +13 -8x
15 = 3x . . . . simplified
5 = x
Answer:
x=5
2+8x=11x-13
8x-11=-13-2
-3x=-15
x=5
How many gallons of a 90% antifreeze solution must be mixed with 80 gallons of 25% antifreeze to get a mixture that is 80% antifreeze?
Answer:
x=440 gaL 90 % Antifreeze II
Step-by-step explanation:
In the problem, there are two types of antifreeze
antifreeeze I and
antifreeze II
antifreeze I 25 ----80 gal
Antifreeze II 90 ----- x gal
Total 80 ---------------- (80 + x ) gal
(25*80)+(90*x)=80(80+x)
2000+90x=6400+80x
90x-80x=6400-2000
10x=4400
divide both sides by 10 we have
x= 440
x=440 gaL 90 % Antifreeze II
What is 135.26 - 74.80
[tex]\framebox {60.46}[/tex]
[tex]\text {Remove 0 from 74.8. You don't need it.}[/tex]
[tex]\text {Do Keep Change Change (KCC)}[/tex]
[tex]\text {Keep: 135.26}\\\text {Change: - into +}\\\text {Change: 74.8 into -74.8}[/tex]
[tex]\text {Add: 135.26 +-74.8=60.46}[/tex]
[tex]\text {Hope this helps!}[/tex]
[tex]\text {-LimitedX}[/tex]
5x+8=4x+15 ayuda por favor
Answer:
x=7
Step-by-step explanation:
herp derp herp derp herp derp
An NHL hockey player has 59 goals so far in a season. What are the possible numbers of additional goals the player can score to match or break the NHL record of 92 goals in a season?
Answer:
33 additional goals
Step-by-step explanation:
59+g is greater than or equal to 92 subtract 59 from both sides leaving the answer g is greater than or equal to 33
The hockey player would have to score:
33 goals to match the record 34 goals to break the recordIn order the match the record, the hockey player needs to score a certain number of goals that will take them to the record of 92. That number is:
= 92 - 59
= 33 goals
If they however want to break the record, the need to score more than 92 goals. The least number of goals they can score to do so is:
= Number of goals to match record + 1
= 33 + 1
= 34 goals
In conclusion, the player would have to score 33 goals to match the NHL record but 34 to break it.
Find out more at https://brainly.com/question/19239376.
the difference between eighteen and a number m
Answer:
what is the number? I didn't gets
A firm gives discounts to its customers who pay their bills on time. A customer receives a ten percent discount on the next invoice when a bill is paid in full before its due date. Thirty percent of all customers use the discount. If the company sends out eight bills, what is the probability that less than three take the discount (round answers to three decimal places, for example, 0.xxx)
Answer:
0.551
Step-by-step explanation:
Let no. of people who take discount = x
Using binomial distribution, N c X. p^x. q^(n-x)
p : customer getting discount = 0.3, q : customer not getting discount = 0.7 n : no. of customers = 8
Probability that x < 3 : Prob (x=0) + Prob (x=1) + Prob (x=2)
= 8 c 0. (0.3)^0 . (0.7)^8 + 8 c 1. (0.3)^1 . (0.7)^7 + 8 c 2. (0.3)^2 . (0.7)^6
0.05764801 + 0.19765032 + 0.29647548
0.551
Andy makes a model of a new tool that is 0.24 meter long. His model is 10 times as large as the actual tool. How big is the model?
Answer: 2.40
Step-by-step explanation: 2.4 meters 10x.24=2.40
Ariana rode A bicycle 7 miles and 42 minutes. Abelito road his skateboard 8 miles in 48 minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer. Please i need this by TONIGHT!!
Solve 3[–x + (2 x + 1)] = x – 1.
Answer:
x = -2
Step-by-step explanation:
3{-x + 2x + 1} = x - 1
-3x + 6x + 3 = x - 1
3x + 3 = x - 1
2x = -4
x = -2
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze.
A) What is the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing?
B) What is the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing?(
C) Would you be surprised if, after observing 12 individuals, fewer than half covered their mouth when sneezing? Why?
Answer:
A
[tex]P(X = 8 ) = 0.0037[/tex]
B
[tex]P(X < 5) = 0.805[/tex]
C
I will not be surprised because the probability that fewer than half covered their mouth when sneezing is less than 0.5
Step-by-step explanation:
From the question we are told that
The probability a randomly selected individual will not cover his or her mouth when sneezing is [tex]p = 0.267[/tex]
The probability a randomly selected individual will cover his or her mouth when sneezing is
[tex]q = 1 -p[/tex]
[tex]q = 1 -0.267[/tex]
[tex]q = 0.733[/tex]
Generally the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as
[tex]P(X = 8 ) = \left 12 } \atop {}} \right. C_8 * p^8 * q^{12-8}[/tex]
[tex]P(X = 8 ) = 495 * (0.267)^8 * (0.733)^{12-8}[/tex]
[tex]P(X = 8 ) = 0.0037[/tex]
Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as
[tex]P(X < 5 ) = P[ P(X = 0) + \cdots + P(X = 4)][/tex]
=> [tex]P(X < 5) = \left 12 } \atop {}} \right. C_0 * (0.267)^0 * (0.733)^{(12- 0) }+\cdots + \left 12 } \atop {}} \right. C_4 * (0.267)^0 * (0.733)^{(12- 4) }[/tex]
=> [tex]P(X < 5) = 0.805[/tex]
Give that half of 12 is 6 then
The probability that fewer than half covered their mouth when sneezing is mathematically represented as
[tex]P(X > 6) = 1 - P( X \le 6 )[/tex]
=> [tex]P(X > 6) = 1 - [P(X = 0 ) +\cdots+P(X = 6) ][/tex]
=> [tex]P(X > 6) = 1 - [\left 12 } \atop {}} \right. C_0 *(0.267)^0 * (0.733)^{12 - 0 } +\cdots + \left 12 } \atop {}} \right. C_6 * (0.267)^6 * (0.733)^{12-6}][/tex]
=> [tex]P(X > 6) = 0.0206[/tex]
Suppose MQ = NR = 14 and PQ = 5NP. What is the length of NP if MR = 20?
Answer:
1 1/3
Step-by-step explanation:
Answer:
1 1/3 or 4/3 (both have the same value, but just are in different forms)
Anyone know how to solve this...
Answer:
see below
Step-by-step explanation:
D = 1 - ∑(4/125)²
D = 1 - (2/5³)²
D = 1 - 2²
5³ ²
D ≅ 0.99974
6 x 10^4 please help me I just don’t want to do the math right now I’m so tired
Answer:
6,000
Step-by-step explanation:
The length of a rectangle is
eight feet more than the width.
The perimeter is 60 feet. Find the
length and width.
Answer:
11 and 19
Step-by-step explanation:
solution
let,the lenght be (x+8) and width be x.
Now,
The perimeter of rectangle=2(l*w)
or,60=2(x+8*x)
or,60=4x+16
or,60-16=4x
or,44=4x
or,44÷4=x
x=11
breath=11
length=(x+8)
=11+8
=19
What would be the second step to solve 5 x – 61 = 20?
Answer:Step 2: Divide both sides by 5.
Step-by-step explanation:
Answer:
divide 5 on both sidesStep-by-step explanation:
add -61 on both sides:
5x - 61 + 61 = 20 + 61
simplify
5x = 81
divide 5 on both sides:
5x = 81
5 5
x = 81
5
Rearange the equation so n is the independent variable m+1=-2n+6 ? M= what
Answer:
m = - 2n + 5
Step-by-step explanation:
Given the equation:
m+1=-2n+6
Rearrange the equation so that n is the independent variable
The independent variable is the predictor variable, Hence causes a change in the value of predicted variable obtained.
m+1=-2n+6
m = - 2n + 6 - 1
m = - 2n + 5
m = - 2n + 5
The general form of a regression equation:
y = ax + b
Where y = dependent variable
x = independent variable ; a = Coefficient of slope ; b = intercept
Hence, the equation : m = - 2n + 5
Find the complex conjugate of 10+ 61.
a. -10 + 61
b. 10-61
C.-10-61
d. 6 - 107
Answer:
b. 10 - 61
Step-by-step explanation:
10 + 61 is 71
We need to change the addition sign to subtraction.
10 - 61= -51
We need to find an equation that is equal to -51.
a. -10 +61
That equals 51, which is not 71, which means it is not letter a.
b. 10 - 61
That equals -51, which is not 71, which means it is not letter b.
c. -10 - 61
That equals -71, which is not 71, which means it is not letter c.
d. 6- 107
That equals -101, which is not 71, which means it is not letter d.
lim (x+1) (3x^2-9)
X2
Answer:
[tex]\lim_{x \to 2} (x+1)(3x^2-9) = 9[/tex]
Step-by-step explanation:
Step 1: Write out limit
[tex]\lim_{x \to 2} (x+1)(3x^2-9)[/tex]
Step 2: Evaluate
(2 + 1)(3(2)² - 9)
3(3(4) - 9)
3(12 - 9)
3(3)
9
Find the measures of the supplementary angles that satisfy each case.
The measure of the first angle is 45° more than the measure of the second.
Answer: 67.5 and 112.5 degrees
Plot -1/4 on the horizontal and vertical number lines.
On the vertical number line, negative numbers are to the bottom of 0. Therefore, -1/4 will go one unit down from 0.
On the horizontal number line, negative numbers are to the left of 0. Therefore, -1/4 will go to the left one unit.
Best of Luck!
how are rates and unit rates different?
Answer:
down bellow
Step-by-step explanation:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
If simplify 11 ^ 8 divided by 11 ^ 3
Tina's social studies textbook has 12 chapters. If she reads the book and learn 5 new facts in each chapter, how many new facts will she have learned when she finishes reading all 12 chapters?
Answer:
60
Step-by-step explanation:
if she learns 5 new facts each chapter and has 12 chapters to read you should multiply 12 and 5
the product of y and 9
Answer:
9y
Step-by-step explanation: Product is also the same thing of multiplication so 9 x y equals to 9y.
~~~~Inuola1234
The expression for the product of y and 9 is 9y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The product of y and 9.
This can be written as,
= 9y
Thus,
The expression is 9y.
Learn more about expressions here:
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write a context story for the equation 32 divided by 5
Is 6 a multiple or a factor of 12
Answer:
Step-by-step explanation:
yes
Answer:
Factors Multiples
1, 2, 3, 6 6 12
Step-by-step explanation:
what is the sum of 0.380 and 0.245
Answer:
The sum of 0.380 and 0.245 would be 0.625
vera uploaded a hilarious video to a funny videos website. V (t) models the number of views the video got as a function of time t (in hours)
Answer:
Between 10 and 20 hours
Step-by-step explanation:
choose B
Answer:
Its b lol hny
Step-by-step explanation:
Find the value of x in each case:
Answer:
49 degrees
Step-by-step explanation:
its because like it's on the same line
Answer:
17 degrees
Step-by-step explanation:
what is the soloution to the equation 3x+4=7x-4
Step-by-step explanation:
3x+4=7x-4
add 7x to each side of equation 4x+3x+-7x=-4x+7x+-7x
combine like terms 7x+-7x=0
4+ -4x =-4 +0
4+-4x= -4
add -4 to each side of equation 4+ -4 +-4x=-4+-4
combine like terms -4 +4=0
0+ -4x = -4+ -4
combine like terms -4+-4=-8
-4x =-8
divide each side by-4
x=2
simplifying
x = 2