Answer:
29
Step-by-step explanation:
The problem is 5x + 6 = 150
I subtract 6 from each sides except the one with the variable.
6 - 6 = 0 and 150 - 6 = 144.
Then I bring 5x down.
Then I divided 5x with 5 and 144 with 5.
I got 28.8 for x, which means the friends had 28.8 action figures each.
And I don't think it would be possible for them to have 28.8 action figures, so you round to a whole number which would give you the answer 29.
I think I that makes sense.
In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?
Explanation:
Pick any term. Subtract off the previous one to find the common difference.
term2 - term1 = 6-13 = -7term3 - term2 = -1-6 = -7term4 - term3 = -8-(-1) = -8+1 = -7And so on. You only need to pick one of those to show as your steps to your teacher. However, doing all three subtractions is a good way to get practice in seeing how we have an arithmetic sequence. The common difference must be the same each time.
We subtract 7 from each term to get the next term, i.e. we add -7 to each term to get the next one.
AC is the diameter of the circle. Angle AWB is 120 degrees. How big is arc BC
Answer:
60°
Step-by-step explanation:
Arc BC and Angle BWC are the same number of degrees.
When the vertex of an angle is at the center of a circle, its called a Central Angle. A central angle and the arc it "cuts off" have the same number of degrees.
Angle AWB and Angle BWC lay together on a straight line, so they add up to 180°.
180° - 120° is 60°
Angle BWC is 60° so Arc BC is 60°
Sine is opposite divided by hypotenuse. So the sine of an angle times the hypotenuse is the length of the opposite side. What is the length of the side opposite a 30 degree angle for a right triangle with a hypotenuse of 20 meters?
Answer:
10 m
Step-by-step explanation:
opposite = sin30° × 20 = [tex]\frac{1}{2}[/tex] × 20 = 10 m
I need it done asap please help before 12:00
Use the formula V = r2h to find the radius of a cylinder with a height of 31 and a volume of 775.
Use the figure.
10 feet
4 feet
10 feet
7 feet
Find the perimeter of the figure.
Primeter=10 + 4 +10 +7 = 31 ft
Nathan is considering two different job offers.
He was told by both companies that he would be paid a salary that is in the center of the salaries of the current employees
on his team. The two dot plots represent the annual salaries (in thousands of dollars) of the current employees on the teams
with whom Nathan would be working.
.
10
20 30 40 50
60
70
10
20
70
30 40 50 60
Company B
Company A
mean = 40
mean = 42
median = 35
median = 40
If the mean is used to determine Nathan's salary, he should choose company
If the median is used to determine Nathan's salary, he should choose company
The center of the data for company B is more accurately described by the
because the data is
1. If the mean is used to determine Nathan's salary, he should choose Company A.
2. If the median is used to determine Nathan's salary, he should choose Company A.
3. The center of the data for Company B is more accurately described by the Median because the data is not uniformly scattered and has extreme values or outliers.
What are the Mean and Median values?The Mean is the average value obtained after adding up a set of values and dividing the result by the number in the set.
The Median represents the middle value in an ordered list from smallest to largest.
Data and Calculations:Salaries Company A Company B
Year 1 10 10
Year 2 20 20
Year 3 30 70
Year 4 40 30
Year 5 50 40
Year 6 60 50
Year 7 70 60
Total 280 280
Mean 40 40
Median 40 35 (30 + 40)/2
Thus, Nathan should choose Company A whether the Mean or the Median is used to determine Nathan's salary.
Learn more about computing the mean and the median values at https://brainly.com/question/14202747
#SPJ1
Answer: Company B
Company A
Median
Skewed Right
Step-by-step explanation:
Solve this for me please
Answer:
a=11,b=7 Is the correct answer
Please mark me as brainliest
Answer:
a = 11 and b = 7
Step-by-step explanation:
Multiply numerical values 5 x (-4) then add exponents of like terms x⁷(x⁴) = x¹¹ then y²(y⁵) = y⁷
If f(x) = 3x +3, which of the following is the inverse of f(x)?
O
A. f-1(x) = 3(x-3)
5
OB. f-1(x) = 3(x+3)
5
O C. f-1(x) = 5(x+3)
3
O D. f-1(x) = 5(x-3)
3
The inverse function of f(x) = 3x + 3 is f-1(x) = 1/3x - 1
How to determine the inverse?The equation is given as:
f(x) = 3x + 3
Express f(x) as y
y = 3x + 3
Swap the positions of y and x
x = 3y + 3
Make y the subject
3y = x - 3
Divide by 3
y = 1/3x - 1
Replace y with the inverse function
f-1(x) = 1/3x - 1
Hence, the inverse function of f(x) = 3x + 3 is f-1(x) = 1/3x - 1
Read more about inverse functions at:
https://brainly.com/question/14391067
#SPJ1
Five times the sum of a number and -23.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We need to translate "five times the sum of a number and -23" into an algebraic expression.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Can you see the word "sum" there? It tells us to add.So in this case we should add a number (let it be x) and -23:
[tex]\star~\large\pmb{x+-23}[/tex]
Which is the same thing as
[tex]\star~\large\pmb{x-23}[/tex]
Now we multiply this little expression by 5, which gives us
[tex]\star~\large\pmb{5(x-23)}[/tex]
The parentheses around the expression indicate that we multiply 5 by the entire expression, and not just one term.
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
A food truck did a daily survey of costumers to dond their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Place the indicated product in the proper location on the grid. (4a + x)(a-x)
Step-by-step explanation:
4a(a-x)+x(a-x)
[4a]2-4ax+ax-(x)2
(4a)2-3ax-(x)2
how many solutions does 9x+5=9x+7
Answer:
There are 0 solutions to this problem because it cannot be re-arranged logically enough to come to a new conclusion.
Answer:
0
Step-by-step explanation:
If we try to solve this question, we get no solutions:
First we subtract 5 from both sides :
9x = 9x + 2
Now we subtract 9x from both sides :
0 = 0 +2
0 = 2 ❌
This is why this equation has no solutions
Hope this helped and have a good day
change 12' 8" to decimal degree equivalent. express the decimal to the nearest ten-thousandths
The decimal degree of the angle 12' 8" is 0.2022
How to change the decimal degree?The angle measure is given as:
Angle = 12' 8"
As a general rule;
1 degree = 60 minutes1 minute = 60 secondsWhere:
' represents minutes and " represents seconds.
So, we have:
Angle = 12/60 + 8/(60 * 60)
Evaluate the expression
Angle = 0.2022
Hence, the decimal degree of the angle 12' 8" is 0.2022
Read more about angles at:
https://brainly.com/question/14362353
#SPJ1
One side of a rectangle is 6 meters shorter than four times another side. Find the length of the longer side if we also know that the perimeter of the rectangle is 58 meters
Answer:
22 meters
Step-by-step explanation:
Let x = width of the rectangle
Let y = length of the rectangle
Equation 1
If the length of the rectangle is 6 meters shorter than four times the width then:
⇒ y = 4x - 6
Equation 2
Perimeter of a rectangle = 2(width + length)
If the perimeter is 58 inches, then:
⇒ 58 = 2(x + y)
Solve by substitution
Substitute Equation 1 into Equation 2 and solve for x:
⇒ 58 = 2(x + 4x - 6)
⇒ 58 = 2(5x - 6)
⇒ 58 = 2 · 5x - 2 · 6
⇒ 58 = 10x - 12
⇒ 58 + 12 = 10x -12 + 12
⇒ 10x = 70
⇒ 10x ÷ 10 = 70 ÷ 10
⇒ x = 7
Substitute found value of x into Equation 1 and solve for y:
⇒ y = 4(7) - 6
⇒ y = 28 - 6
⇒ y = 22
Conclusion
The dimensions of the rectangle are:
width = 7 meterslength = 22 metersTherefore, the length of the longer side is 22 meters
The length of the longer side is 22 meters.
Let, one side of the rectangle is x meters.
According to the problem, the other side is 6 meters shorter than four times this side, which means the length of the second side is (4x - 6) meters.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (length + width)
In this case, the perimeter is 58 meters:
58 = 2 * (x + 4x - 6)
Now, let's solve for x:
58 = 2 * (5x - 6)
58 = 10x - 12
Add 12 to both sides:
58 + 12 = 10x
70 = 10x
Now, divide both sides by 10 to isolate x:
x = 70 / 10
x = 7
So, one side of the rectangle is 7 meters.
Now, we can find the length of the longer side:
Length of the longer side = 4x - 6
Length of the longer side = 4 * 7 - 6
Length of the longer side = 28 - 6
Length of the longer side = 22 meters
Therefore, the length of the longer side is 22 meters.
Learn more about perimeter here:
brainly.com/question/397857
#SPJ3
Distance (km)
a.
b.
c.
d.
400
300
200
100
Travel Rate
(3, 318)
(1, 106)
(0, 0)
1
(2,212)
111 km/h
106 km/h
102 km/h
97 km/h
2 3
Time (h)
Answer:
good and right and keep trying your best
Find the present value, using the future value formula and a calculator. Future value is $6,000 in two years at 9.5% simple interest. Round your answer to the nearest cent (two decimal places). Enter only the number without $ sign.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6000\\ P=\textit{original amount deposited}\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &2 \end{cases} \\\\\\ 6000=P[1+(0.095)(2)]\implies \cfrac{6000}{1.19}=P\implies 5042.02\approx P[/tex]
The line segment located in the circle below is the circle’s ____________
Pi
Area
Radius
Diameter
Circumference
What is the rational number equivalent to 1.28
Answer:
1 28/99
Step-by-step explanation:
When a number with 1-2 digits is divided by 99, it gets repeated with two digits. For example, 2/99=0.0202020202...
Another example would be 18/99=0.18181818...
Using this information, we can determine that 1.28282828 repeating would be 1 28/99
Let me know if you have any questions! :)
What property states that changing the order of two or more terms does what to the value of the sum
Answer: Commutative property
Find the domain and range of the function:
--√√5-x-3
The domain is [tex]x \le 5[/tex] and the range of the function is [tex]f(x) \ge - 3[/tex]
How to determine the domain and the range?The function is given as:
[tex]f(x) = \sqrt{5 - x} - 3[/tex]
The radicand must be at least 0.
So, we have:
[tex]\sqrt{5 - x} \ge 0[/tex]
Square both sides
[tex]5 - x \ge 0[/tex]
Rewrite as:
[tex]5 \ge x[/tex]
Solve for x
[tex]x \le 5[/tex]
This means that the domain is [tex]x \le 5[/tex]
For the range, we have; [tex]\sqrt{5 - x} \ge 0[/tex]
This means that:
[tex]f(x) \ge 0 - 3[/tex]
[tex]f(x) \ge - 3[/tex]
Hence, the range of the function is [tex]f(x) \ge - 3[/tex]
Read more about domain and range at:
https://brainly.com/question/10197594
#SPJ1
CAN SOMEONE PLEASE PLEASE HELP ME?? I’LL GIVE YOU FREE EASY POINTS AND IT’S ONLY 4 QUESTIONS. JUST MAKE SURE YOU GIVE THE RIGHT ANSWERS PLSS. THE PICTURE IS ABOVE IF ANYBODY NEEDS TO SEE IT!
Answer:
Step-by-step explanation:
1. To find f(0.5), substitute the x value in the function f(x) with 0.5
f(x) = 30x + 5
f(0.5) = 30*0.5 + 5
= 15 + 5
= 20
At 0.5 gigabytes of data used, the cost is $20
2) g(x) = 10x + 20
g(0.5) = 10*0.5 + 20
= 5 + 20
= 25
At 0.5 gigabytes of data used, the cost is $ 25.
3) f(x) = 50
30x + 5 = 50
Subtract 5 from both sides
30x = 50 - 5
30x = 45
Divide both sides by 30
x = 45/30
x = 1.5
If she chooses plan 'f', she could use 1.5 gigabytes.
g(x) = 50
10x + 20 = 50
10x =50- 20
10x = 30
x = 30/10
x = 3
If she chooses plan 'g', she could use 3 gigabytes.
4) Function 'g' would be better for a $50 monthly budget as she could get more gigabytes than function 'f'
if f(x)=2x-1 and g(x)=x^2-4, what is g(f(x))
Answer:
4x^2 - 4x - 3
Step-by-step explanation:
f(x) = 2x - 1
g(x) = x^2 - 4
g(f(x)) = ?
[substitute the x of g(x) with f(x)]
g(x) = x^2 - 4
g(f(x)) = (2x - 1)^2 - 4
[solve]
[binomial * binomial = quadratic equation]
[use FOIL method (first, outer, inner, last)]
g(f(x)) = (2x - 1)(2x - 1) - 4
g(f(x)) = (2x*2x) + (-2x) + (-2x) + (1) - 4
[combine like terms]
g(f(x)) = 4x^2 - 2x - 2x + 1 - 4
g(f(x)) = 4x^2 - 4x - 3
D = {f, g, k}
L = {a,f,j}
Find the intersection of D and L.
Find the union of D and I.
Answer:
Step-by-step explanation:
D∩L={f}
D∪L={a,f,g,j,k}
The product of three consecutive integers is 30 times the smallest of the three
integers. Find the two possible sets of integers that will satisfy this condition.
AnswEr :
Let's assume , three Consecutive integers be x , ( x +1 ) & ( x+2 ) , such that , x < ( x +1 ) < ( x +2 ) .
⠀⠀⠀⠀⠀⠀[tex]\underline {\boldsymbol{\star\: According \: to \: the \: Given \: Question \::}}\\[/tex]
⠀⠀⠀⠀⠀— The product of three consecutive integers is 30 times the smallest of the three integers.
[tex] \sf \dashrightarrow \:30\: \bigg\{ \: Smallest_{(\:integer\:)}\:\bigg\}\:\:=\: \:\bigg\{ \: I^{st} \:Integer\:\bigg\}\: \:\bigg\{\: II^{nd}\:Integer\:\bigg\}\: \:\bigg\{ \: III^{rd} \:Integer\:\bigg\}\:\:\: \\\\\sf \dashrightarrow \:30\: \bigg\{ \:x\:\bigg\}\:\:=\: \:\bigg\{ \: x\:\bigg\}\: \:\bigg\{ \: x + 1\:\bigg\}\: \:\bigg\{ \: x +2 \:\bigg\}\:\:\: \\\\ \sf \dashrightarrow \:30\: \:\:=\: \:\bigg\{ \: x + 1\:\bigg\}\: \:\bigg\{ \: x +2 \:\bigg\}\:\:\: \\\\ \sf \dashrightarrow \:30\: \:\:=\: \:x^2 + 3x + 2 \:\:\: \\\\ \sf \dashrightarrow \:x^2 + 3x - 28 \:= \:0\: \\\\ \sf \dashrightarrow \:\:\bigg\{ \: x - 2 \:\bigg\}\:\:\bigg\{ \: x + 7 \:\bigg\}\: \:= \:0\: \\\\ \pmb {\underline {\boxed {\purple {\:\frak{ \:x\:\:=\:-7\: \&\:2\:}}}}}\:\bigstar \: \\\\\\[/tex]
Therefore ,
When , x = 2 ,
First Integer : x , 2 ,Second Integer : ( x +1 ) , 3 & Third Integer : ( x +2 ) = 4 .When , x = –7 ,
First Integer : x , – 7 ,Second Integer : ( x +1 ) , – 6 & Third Integer : ( x +2 ) = – 5 .Answer:
Hi,
Step-by-step explanation:
If the "is" means is equal to
Let's say a-1, a, a+1 the 3 consecutive integers.
[tex](a-1)*a*(a+1)=30*(a-1)\\\\(a-1)*(a*(a+1)-30)=0\\\\(a-1)(a^2+a-30)=0\\\\(a-1)(a^2+6a-5a-30)=0\\\\(a-1)(a(a+6)-5(a+6))=0\\\\(a-1)(a+6)(a-5)=0\\\\a=1\ or\ a=-6\ or\ a=5\\[/tex]
[tex]\begin{array}{|c|c|c|c|c|}a&a-1&a+1&Prod&30*(a-1)\\---&----&----&----&--------\\1&0&2&0&30*0=0\\5&4&6&120&4*30=120\\-6&-7&-5&-210&30*(-6)=-180\end{array}\\[/tex]
The two sets are : (0,1,2) and (4,5,6).
During the basketball season, Morgan made 3 times as many 2-point baskets as she made 3-point baskets and free throws combined. If she made 14 free throws and eight 3-point baskets, How many 2-point baskets did she make. And simplify your answer.
Answer:
123 save some for me
Step-by-step explanation:
:0
Answer: 123
Step-by-step explanation: I did the math- lol-
I need this asap plsss help me!!!!!
If the diameter is d = 8, then we divide that in half to get the radius of r = 4.
If the radius is r = 9, then we double it to get the diameter of d = 18
The formulas are:
radius = diameter/2diameter = 2*radiusI'll let you determine the others.
Answer:
Step-by-step explanation:
Diameter is twice the radius. d = 2*r
Radius is half the diameter r = d÷2
1) d = 8
r = 8÷ 2
r = 4
2) r = 9
d = 2*r
= 2*9
d = 18
3) r = 24
d = 24*2 =48
4) d = 36
r = 36 ÷2 = 18
5) d = 52
r = 52÷2 = 26
Use the formula Area = (side)2 to find the area of the square.
3.
2.
1.
7m
5 yd
8 cm
Answer:
1. 5² is 25 yards
2. 7² is 49m
3. 8² is 64cm
4.draw a square, make one side 6 feet then do 6² which is 36feet
5. do the same thing then write 10 inches on one side and 10² is 100 inches.
6. 7x3= 21 ft
7. 5x4= 20 in.
8. 2x8= 16 yd
Step-by-step explanation:
common sense
Find the missing angle
120 & 30
y = [???]
Answer:
z = 30
Step-by-step explanation:
All angles of a triangle add up to 180:
z + 120 + 30 = 180
z + 150 = 180
z = 180 - 150
z = 30
how many different sample size of n=3 can be drawn from the population
I'll focus on question 10 only. Let me know if you need me to answer the others.
We have the population with this set of numbers: {2,4,6,8,10}
There are 5 values in that set.
Now consider having slots labeled A,B and C to represent the three placeholders for the numbers.
For slot A, we have 5 choicesSlot B has 5-1 = 4 choicesSlot C has 5-2 = 3 choicesThere are 5*4*3 = 20*3 = 60 permutations and 60/(3*2*1) = 60/6 = 10 combinations.
Therefore, we have 10 different subsamples of 3 items.
Answer: Choice C) 10