Answer:
11
Step-by-step explanation:
We know formula to find average is,
Average=
Numberofnumbers
Sumofnumbers
Since the average of 10, so the sum of numbers is 5×10=50
As the fifth number is given 6, so rest 4 numbers will be = 50−6=44
Average of first four numbers will be Average=
4
44
=11
The average age of three people running for election is 42. A fourth person joins the race and the average drops to 40. What is the fourth
person's age?
OA. 32
OB. 34
ОО
C. 35
D. 36
E. 40
Answer:
B. 34
[tex]let \: sum \: of \: ages \: of\: 3 \: people \: be \: x \\ 42 = \frac{x}{3} \\ x = 126 \\ let \:age \: of \: fourth \: person \: be \: y \\ 40 = \frac{x + y}{4} \\ 160 = x + y \\ 160 = 126 + y \\ y = 34 \\ = 34 \: years[/tex]
9 is what percent of 60
Answer:
15%
Step-by-step explanation:
[tex]\frac{9}{60} = \frac{3}{20}[/tex]
[tex]\frac{3}{20} = 0.15\\[/tex]
[tex]0.15 = 15%[/tex]
Answer:
if it's given 60,
so 1%=6
so 15/10=9
so answer is 1.5
I'm so confused pls help
Answer:
Step-by-step explanation:
Slope = 3.200/2.000 = 1.600
x-intercept = 5/8 = 0.62500
y-intercept = 5/-5 = 1/-1 = -1.00000
A rolled up sleeping bag and shaped like a cylinder with a radius of 5" and a volume of 1727.9 cubic inches. What is the height of the road up sleeping bag?
Answer:
I think the height is 22.
solve for 5 + 6f > 8f -7
linear inequalities
Answer:
5+6f>8f-7
5+7>8f-6f
12>2f
6>f
f<6
Step-by-step explanation:
Which statements about the system are true? Select two options.
y=x-4
3y - x= -7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.
Save and Exit
Next
Submit
Mark this and return
Answer:
system has 1 solution at (2.5, -1.5)
Step-by-step explanation:
y = x - 4 this equation has a slope of 1 and a y-intercept of -4
3y - x = -7 this equation has a slope of 1/3 and a y-intercept of -7/3
Find the area of the triangle
The area is __yd^2
Answer:
13.5 yd²
Step-by-step explanation:
area = 1/2 ×4.5×6 = 13.5 yd²
Step-by-step explanation:
A=(base x height)/2
Base=6yd
Height=4.5yd
A=(4.5 x 6)/2 = 13.5yd^2
Jacob bought some supplies for his lemonade stand. He purchased lemons for $4.85, sugar for $3.16, containers for $18. Taxes were included in all the prices. How much money did Jacob spend on all his purchases?
Answer:
26.01
Step-by-step explanation:
What are the solutions to the equation x2 + 4x – 12 = 0? O A. x = -6 and x = 2 O B. x= -4 and x= 3 O C. X=-3 and x = 4 D. x = -2 and x = 6
Answer:
the answer is A.
What is the probability of picking a 5 and then picking a 4?
Find the value of X. If necessary write in radical form
Answer:
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\6^{2} +7^{2} =x^{2} \\\sqrt{85} = x[/tex]
Answer:
sqrt(85) =x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + 7^2 = x^2
36+49 = x^2
85 = x^2
Take the square root of each side
sqrt(85) = sqrt(x^2)
sqrt(85) =x
I’ll mark as brainliest.
Answer:
12 feet
Step-by-step explanation:
48 divided by 4 is 12 and 48 is the total area
Answer:
12 sq. ft.
Step-by-step explanation:
To find the area of a square (or rectangle) you multiply the length by the width.
To find the length of one side, when you have the area and one side, you divide the area by the side you have.
48 divided by 4 equals 12.
Hope this helps :)
(44=6x-1+9x,-5)
I don’t know how to answer this I just know it’s ( , -5)
Answer:
Step-by-step explanation:
(44=6x-1+9x.-5)
We move all terms to the left:
(44-(6x-1+9x.-5))=0
We add all the numbers together, and all the variables
(44-(6x+9x.-6))=0
We calculate terms in parentheses: +(44-(6x+9x.-6)), so:
44-(6x+9x.-6)
determiningTheFunctionDomain
-(6x+9x.-6)+44
We get rid of parentheses
-6x-9x.+6+44
We add all the numbers together, and all the variables
-6x-9x.+50
Back to the equation:
+(-6x-9x.+50)
We get rid of parentheses
-6x-9x.+50=0
We move all terms containing x to the left, all other terms to the right
-6x-9x.=-50
A sound wave is given by the
following equation:
y = 6 sin(324pi t)
where t = time in seconds
How many cycles will occur
between t= 3 and t = 5.5 seconds?
Answer:
405 cycles
Step-by-step explanation:
We have the equation:
y = 6*sin(324*π*t)
For the properties of the sin function, we know that the period is 2π.
So between:
Sin(x) and Sin(x + 2*pi)
we have a cycle.
between:
Sin(x) and Sin(x + 6*pi)
we have 3 cycles.
and so on.
Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds
Between these times, the difference in the argument of the sin function is:
324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5
Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5
That number is just the quotient between 324*π*2.5 and 2*π
N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405
There are 405 cycles between 3 seconds and 5.5 seconds.
What value of x makes AD|| EH
Answer:
x = 3
Step-by-step explanation:
92 - 8x = 68
-8x = -24
x = 3
The two angles mentioned in the problem, if AD || EH, are congruent because they are corresponding angles.
$(x^2-4x+2)^{x^2-5x+2} = 1.$
;PPP
Simplify the expression. x4y−4z−2x2y−2z4 y2x2z6 the fraction with numerator y squared and denominator x squared z to the 6th power x2y2z6 the fraction with numerator x squared and denominator y squared z to the 6th power x2y2z6 the fraction with numerator x squared y squared and denominator z to the 6th power y2z6x2
Given:
Consider the given expression is:
[tex]\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}[/tex]
By using the quotient property of exponents, we get
[tex]=x^{4-2}y^{-4-(-2)}z^{-2-4}[/tex] [tex]\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right][/tex]
[tex]=x^{2}y^{-4+2}z^{-6}[/tex]
[tex]=x^{2}y^{-2}z^{-6}[/tex]
By using negative exponent property, we get
[tex]=\dfrac{x^{2}}{y^{2}z^{6}}[/tex] [tex]\left[\because a^{-n}=\dfrac{1}{a^n}\right][/tex]
The simplified form of the given expression is [tex]\dfrac{x^{2}}{y^{2}z^{6}}[/tex].
Therefore, the correct option is B.
What kind of solution is this? Prove it.
3+8x=8x+3
3=3
0=0
Answer:
all real numbers
Step-by-step explanation:
3 + 8x = 8x + 3
Subtract 8x from both sides.
3 = 3
Since 3 = 3 is a true statement, the solution is
x = all real numbers
Every number is a solution of this equation.
What is the surface area? 17 ft 16 ft 17 ft 19 ft 15 ft
Answer:
1,317,840
17×17=289×16=4,624×19=87,856×15=1,317,840
if RT= 19 meters, find LW.
Answer:
if RT = 19 meters, Find LE
Big brutus pizza had two deals on pizza the first was $6 for a cheese pizza plus $3 for each topping the second deal was $20 per cheese pizza and 1 dollar per topping wat is the x and y
Answer:
[tex]x = 7[/tex] --- toppings
[tex]y = 27[/tex] ---- amount
Step-by-step explanation:
Given
[tex]y \to\ amount[/tex]
[tex]x \to\ topping[/tex]
The first deal is:
[tex]y = 6 + 3x[/tex]
The second is:
[tex]y = 20 + x[/tex]
Required
The value of x and y [for which both deals are equal]
We have:
[tex]y = 6 + 3x[/tex]
[tex]y = 20 + x[/tex]
Equate both
[tex]y=y[/tex]
So, we have:
[tex]6 + 3x = 20 + x[/tex]
Collect like terms
[tex]3x - x = 20 - 6[/tex]
[tex]2x =14[/tex]
Divide by 2
[tex]x = 7[/tex]
Substitute [tex]x = 7[/tex] in [tex]y = 20 + x[/tex]
[tex]y = 20 + 7[/tex]
[tex]y = 27[/tex]
Please help ASAP I need helppppoñ
please show work for both thank you!!
Answer:
a. x = 4.8989794855663561963945681494118 or 4.9 rounded
b. x = 8.6023252670426267717294735350497 or 8.6 rounded
Step-by-step explanation:
7² - 5² = x²
49 - 25 = x
49 - 25 = 24
√24 = 4.8989794855663561963945681494118
7² + 5² = x²
49 + 25 = x
49 + 25 = 74
√74 = 8.6023252670426267717294735350497
is 3.39 a rational number
Answer:
yes it can be written as 'a/b'
Step-by-step explanation:
3.39 is 3 39/100 which, as an improper fraction, is 339/100
as long as a decimal terminates or repeats then it is rational
examples:
.333 repeating is rational
the symbol π does not terminate or repeat so it is considered to be irrational
Which of the following inequalities are true
Answer: The answer is E: |-4|<|-7| and C: |-7|>|4|
The area of a rectangular window is 8526 cm?
If the length of the window is 98 cm, what is its width?
Answer:
87cm
Step-by-step explanation:
Length x width = area
98 x width = 8526
width=8526/98
width=87
which ones out of the three are no solution?
1. 10 + 6x = 15 + 9x – 3x
2. 11 + 3x – 7 = 6x + 5 – 3x
3. 11 + 3x – 7 = 6x + 5 – 3x
Answer: I'm going to say 3
Step-by-step explanation:
Which expression is NOT equal to 28?
A (9+ 25 = 5) 2
B.3-4x2) - 11x7
C.42= 6 + 28 = 4
D. 7* [8-(2-4 * 2)]
I
Answer:
You need the legnth of x
Step-by-step explanation:
Answer:
C.42= 6 + 28 = 4 is the answer
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 63 manufacturing companies located in the Southwest. The mean expense is $50.63 million and the standard deviation is $11.48 million. Is it reasonable to conclude the sample data are from a population that follows a normal probability distribution?
Answer:hi
Step-by-step explanation:
Hi
Consider the sequence 1, 4, 16, 64, 128, … Which statement describes the sequence? The sequence diverges. The sequence converges to 0. The sequence converges to [infinity]. The sequence converges to –[infinity].
Answer:
The sequence diverges
Step-by-step explanation:
The given sequence is 1, 4, 15, 64, 128, ...
By observation the sequence can be expressed as a sequence of 4 raised to increasing powers of 'x' as follows;
The sequence is 4ˣ, where; x = 0, 1, 2, 3, 4, ..., ∞
Therefore, the values of each subsequent term of the sequent is higher than the term it succeeds, the sequence does not converge to a given limit value and therefore, the sequence diverges.