Answer:
34
Step-by-step explanation:
-8= 3-5(x+6) solving algebraicaily
Let's solve your equation step by step
-8=3-5(x+6)
Step 1: simplify both sides of the equation
-8=3-5(x+6)
-8=3+(-5)(x)+(-5(6) (distribute)
-8=3+-5x+-30
-8=(-5x)+(3+-30) (combine like terms)
-8=-5x+-27
-8=-5x-27
Step 2: flip the equation
-5x-27=-8
Step 3: add 27 to both sides
-5x-27+27=-8+27
-5x=19
Step 4: Divide both sides by -5
-5x/-5 = 19/-5
Answer : x= -19/5
Answer:
x = -19/5
Step-by-step explanation:
-8 = 3-5(x+6)
Distribute.
-8 = 3-5x-30
Combine like terms.
-8 = -27-5x
Add 27 on both sides.
-8 = -27-5x
+27 +27
19 = -5x
Divide by -5 on both sides.
19 = -5x
/-5 /-5
-19/5 = x
Hope this helps you a little bit! Sorry if it get confusing...have an amazing day c:
Over a nine-month period, OutdoorGearLab tested hardshell jackets designed for ice climbing, mountaineering, and backpacking. Based on the breathability, durability, ver-satility, features, mobility, and weight of each jacket, an overall rating ranging from 0 (lowest) to 100 (highest) was assigned to each jacket tested. The following data show the results for 20 top-of-the line jackets (OutdoorGearLab website, February 27, 2013).
42 66 67 71 78 62 61 76 71 67
61 64 61 54 83 63 68 69 81 53
a. Compute the mean, median, and mode.
b. Compute the first and third quartiles.
c. Compute and interpret the 90th percentile.
Answer:
(a) The mean is 65.9, the median is, 66.5 and the mode is. 61.
(b) The first and third quartiles are 61 and 71 respectively.
(c) The value of the 90th percentile is, 78.3.
Step-by-step explanation:
The ratings of 20 top-of-the line jackets, arranged in ascending order are as follows:
S = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66 , 67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}
(a)
Compute the mean as follows:
[tex]\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}=\frac{1}{20}\times 1318=65.9[/tex]
Compute the median as follows:
For an even number of values the median is the average of the middle two values.
[tex]M=\frac{10^{th}obs.+11^{th}obs.}{2}=\frac{66+67}{2}=66.5[/tex]
Compute the mode as follows:
The mode of a dataset is the term that occurs most of the time.
[tex]m=61[/tex]
Thus, the mean is 65.9, the median is, 66.5 and the mode is. 61.
(b)
The first quartile is the median of the first half of the data set.
S₁ = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66}
[tex]Q_{1}=\text{Median of }S_{1}=\frac{5^{th}obs.+6^{th}obs.}{2}=\frac{61+61}{2}=61[/tex]
The third quartile is the median of the second half of the data set.
S₂ = {67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}
[tex]Q_{3}=\text{Median of }S_{2}=\frac{15^{th}obs.+16^{th}obs.}{2}=\frac{71+71}{2}=71[/tex]
Thus, the first and third quartiles are 61 and 71 respectively.
(c)
The pth percentile is a data value such that at least p% of the data set is less-than or equal to this data value and at least (100 - p)% of the data-set are more-than or equal to this data value.
Use the Excel formula "=PERCENTILE.INC(array,0.9)" to compute the 90th percentile.
The value of the 90th percentile is, 78.3.
This value implies that 90% of the ratings are less than 78.3.
Aaliyah invested $350 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 20 years?
Answer:779
Step-by-step explanation:
Delta
Baron, Gab, and Oliver can paint a room together in 2 hours, 1f Gab does the job alone. he can paint the same room in 5 hours. If Baron works alone, he can paint the room in hours. If Oliver works alone, how long would it take him to paint the room?
Answer:
11 hours
Step-by-step explanation:
I hope this help!
Need Help running out of time: Best answer will get brainliest
In Sam's drawer, there are 17 red socks, 13 green socks, and 20 black socks. Any two socks of the same color make a pair.
* If the first sock that Sam took out was black, how many more socks must he take out from the drawer without looking to be absolutely sure to have a pair of socks (of any color)?
Answer:
19:50
Step-by-step explanation:
well when you add all the socks you have 50 socks. if the first sock that Sam took out was black the second sock would be a ratio of 19:50.
(i think)
Simplify. 27x15y24−−−−−−−√3
Answer:
I also believe the answer is 3x^5 y^8
Step-by-step explanation:
The expression ∛(27 x¹⁵ y²⁴) in the simplified form will be 3 x⁵ y⁸.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ ∛(27 x¹⁵ y²⁴)
Simplify the expression, then we have
⇒ ∛[3³ (x⁵)³ (y⁸)³]
⇒ ∛(3 x⁵ y⁸)³
⇒ 3 x⁵ y⁸
The expression ∛(27 x¹⁵ y²⁴) in the simplified form will be 3 x⁵ y⁸.
More about the Algebra link is given below.
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Perform he operations in the correct order :
10 + 8 ÷ 1 -5
determine the number of significant digits in the measurement 3.08cm
9514 1404 393
Answer:
3 significant digits
Step-by-step explanation:
If there is a decimal point with non-zero digits to its left, all digits to the right of the left-most non-zero digit are significant. Here, that is all of them. This number has 3 significant digits.
__
Comment on other cases
If there is no decimal point, the digits between any leading and trailing zeros are significant. For example, 02000 has 1 significant digit.
If there are no non-zero digits left of the decimal point. All digits except leading zeros are significant. 0.0031000 has 5 significant digits.
Evaluate 14/7+3*2-5
Answer:
3
Step-by-step explanation:
14/7
+(3)(2)−5
=2+(3)(2)−5
=2+6−5
=8−5
=3
what is the slope.of the line passing points (1, -5) and (4, 1)
Answer:
[tex]\huge{\boxed{\sf{ 2 }}}[/tex]
Step-by-step explanation:
Let the points be A and B
A ( 1 , -5 ) [tex]\longrightarrow[/tex] ( x1 , y1 )
B ( 4 , 1 ) [tex]\longrightarrow[/tex] ( x2 , y2 )
Finding the slope :
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{1 - ( -5 )}{4 - 1}[/tex]
Slope = [tex]\frac{1+5}{4-1}[/tex]
Slope = [tex]\frac{6}{3}[/tex]
Slope = [tex]2[/tex]
Hope I helped!
Best regards!
~TheAnimeGirl
Which equation represents the unit fraction shown in the diagram? A grid model with 100 squares. 20 squares are shaded.
Answer:
20 over 100 = 1 over 5
Step-by-step explanation:
your soccer team isn’t holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction, 1) a tablet costs $280 2) football tickets that cost $100 3) a gift card that cost $20 4) the cost of the food is $400. The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of food and prizes and food. Part a determine the cost per ticket. Part B build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build a function. Part C your soccer team needs to raise at least $300 more than the total cost of the expenses. What is the minimum number of tickets that must to be sold in order for your team to reach their goal? Use the mathematics to justify your response.
Answer:
i will not give you the exact answer but i will tell you how to get the answer you need to add all the costs of everything and divide it by the number of tickets and that is how you get profit
Step-by-step explanation:
The total sales tax in a certain city is 8.75%. The state sales tax rate is 7.25%, and the county adds an additional sales tax of 0.5%. How much in sales tax is added by the city?
a.) 0.1%
b.) 0.25%
c.) 1%
d.) 2.5%
Answer:
C.1%
Step-by-step explanation:
Minerva is trying to estimate v 55. She uses this table of values:
Square 7.02 7.12 7.22 7.32 7.42 7.52
Value
49.0 50.4 51.8 53.3 54.8 56.3
Square 7.62 7.72 7.82 7.92 8.02
Value
57.8 59.3 60.8 62.4 64.0
What should she do next to find 55 to the nearest hundredth?
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Test!
Prime number between 60 and 80 with the 10’s digit being one less than the 1st digit
It would be 89.
You can also just look up a list of prime numbers online.
Whats (2^–1)^3 with the same base but one exponent??
Step-by-step explanation:
[tex] ({2}^{ - 1} )^{3} [/tex]
[tex] {2}^{ - 3} [/tex]
........
Answer:
2^-3
Step-by-step explanation:
When multiplying two exponents with the same base, we basically add the exponents.
How much is 2/3 - 1/6 =
Answer:
1/2
Step-by-step explanation:
First create like dominators
2/3 -1/6 = 4/6 - 1/6
simplify using subtraction
4/6 - 1/6 = 3/6
Simplify the answer
3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
2/3 - 1/6
Subtract the two fractions:
2/3 - 1/6 = 1/2
The answer we get is:
1/2
Divide the numerator by the denominator for the decimal form:
1 ÷ 2 = 0.5
0.5 is our decimal form.
1/2 and 0.5 are our answers.
Hope you learned from this answer!
(x+4)(x-5)+(x+4)(x-2)
Answer:
(x+4)⋅(2x−7)
Step-by-step explanation:
Combine the like terms.
1 point
3. A bus driver stops at a gas station to put some gasoline in the bus. He
pays $2.48 per gallon for 15 gallons of gas. How much did he pay for the
gas?
Write a valid conclusion using the Law of Detachment or Law of Syllogism given the statements below.
1. If you drive above 55mph you will get a ticket
2. Kate is driving 60 mph.
Answer:
Step-by-step explanation:
Ok so we are going to start with the first statement. If you drive above 55mph you will get a ticket. Lets say that is P. The second statement. Kate drives 60mph. That is our Q.
P>Q
Q>R
P>R
R is our conclusion.
So our conclusion is indeed. Kate will get a ticket.
What does “is” mean in math
Answer:
Multiplication
I hope this helps!
What is the retail price of a shirt that has a wholesale price of $12 and is marked up by 60 percent?
$7.20
$19.20
$31.20
$72.00
Answer: 19.20
Step-by-step explanation: What I did was figure out what 10% of 12 was (1.2) then multiplied it by 6 which was 7.2. Then I added that to 12 and got 19.2.
Let me know if this was helpful! :D
Answer:
19.20
Step-by-step explanation:
I just did this and payed attention during the lesson.
Paige bought a handbag for $49.75. Nevaeh spent 2.5 times more on her handbag, while Naomi spent 3.5 times more than Paige on her handbag. How much total money was spent on the three handbags?
Answer:
Total money: $348.26
Step-by-step explanation:
Paige: $49.75
Nevaeh: 2.5*$49.75
Naomi: 3.5*$49.75
2.5*49.75 = 124.38
3.5*49.75 = 174.13
(I rounded the cents up.)
124.38
174.13
+49.75
$348.26
Hope this helps!! Have an awesome day C:
Solve for n. 8^ 12÷8^3=8^n
Answer:
9[tex]\frac{8^{12}}{8^3}=8^n\quad :\quad n=9[/tex]
Step-by-step explanation:
Write the equation of the line with the given point and slope.
(-5, -3); slope = -3/5
A line in point slope form is y = mx + b
m = the slope
b = y-intercept
So far our line looks like: y = -3/5x + b
Let's plug -5 into x and -3 into y to solve for b
-3 = -3/5(-5) + b
Let's multiply -5 by -3/5
-3 = 3 + b
Subtract 3 from both sides.
-6 = b
Our line is: y = -3/5x - 6
Olivia buys 4 masks that each cost the same amount and a scarecrow. She spent a total of $176.75. If the scarecrow costs $56.75, write an equation she can use to find the cost of each mask. * 10 points 4m + 56.75 = 176.75 5m + 56.75 = 176.75 4m - 56.75 = 176.75 5m - 56.75 = 176.75
4m+56.75=176.75
Solve the equation to find the cost of each mask.
please answer 9 or 11 or both pleasseeee
Answer:
hi the picture doesn't appear
Help!!!!!!!! I will give 10 points!
18:
multiply both sides
move the constants to the right
calculate
I added a picture if you need it. I hope this helps
What is the value of X+1/9=1/3
Answer:
x = 2/9
Step-by-step explanation:
x + 1/9 = 1/3
Subtract 1/9 from each side
x + 1/9 -1/9 = 1/3 - 1/9
Get a common denominator
x = 1/3 *3/3 - 1/9
x = 3/9 -1/9
x = 2/9
Which of these expressions is the simplified form of the expression (StartFraction sine (x) Over 1 minus cosine squared (x) EndFraction) tangent (StartFraction x Over 2 EndFraction) ?
Given:
[tex]\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)[/tex].
To find:
The expression, which is equivalent to the given expression.
Solution:
We have,
[tex]\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)[/tex]
[tex]=\dfrac{\sin (x)}{1^2-\cos ^2 (x)}\times \dfrac{1-\cos (x)}{\sin (x)}[/tex] [tex][\because \tan \left(\dfrac{x}{2}\right)=\dfrac{1-\cos (x)}{\sin (x)}][/tex]
[tex]=\dfrac{\sin (x)}{(1-\cos (x))(1+\cos (x))}\times \dfrac{1-\cos (x)}{\sin (x)}[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
Cancel out the common factors.
[tex]=\dfrac{1}{1+\cos (x)}[/tex]
Therefore, the correct option is C.
Given question is incomplete; find the complete question in the attachment.
Simplified form of the given trigonometric expression will be represented by Option C.
Given expression is,
[tex][\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )[/tex][tex][\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )=\frac{\text{sin(x)}}{1-\text{cos}^2(x)}\times \frac{1-\text{cos}x}{\text{sinx}}[/tex] [Since. [tex]\text{tan}\frac{x}{2} =\frac{1-\text{cosx}}{sinx}[/tex]]
[tex]=\frac{1-\text{cos}x}{(1-\text{cosx})(1+\text{cosx})}[/tex]
[tex]=\frac{1}{1+\text{cosx}}[/tex]
Therefore, Option C will be the correct option.
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