Answer:
The measure of angle AOB is 36°
Step-by-step explanation:
- Point B is in the interior of ∠AOC
- That means angle AOB is a part of angle AOC
- Measure of angle AOC is 108°
- Measure of angle AOC is 3 times measure of angle AOB
- We need to find measure of angle AOB
* Lets solve the problem
∵ m∠ AOC = 3 m∠ AOB
∵ m∠ AOC = 108°
- Substitute m ∠AOC in the equation above
∴ 108 = 3 m∠ AOB
- Divided both sides by 3
∴ 36° = m∠ AOB
The measure of angle AOB is 36°
Answer: The measure of ∠AOB = 36°.
Step-by-step explanation:
Since we have given that
m∠AOC = 108°
and we need to find the measure of ∠AOB.
As we know that
[tex]m\angle AOC=3m\angle AOB\\\\108=3\angle AOB\\\\\dfrac{108}{3}=\angle AOB\\\\36^\circ=\angle AOB[/tex]
Hence, the measure of ∠AOB = 36°.
What value of x is in the solution set of 2(3x - 1) = 4x-6?
-10
-5
-3
-1
Hey!
--------------------------------
Lets try -10:
2(3(-10) - 1) = 4(-10) - 6
2(-30 - 1) = (-40) - 6
2(-31) = (-40) - 6
-62 ≠ -46
Incorrect.
--------------------------------
Lets try -5:
2(3(-5) - 1) = 4(-5) - 6
2(-15 - 1) = (-20) - 6
2(-16) = (-20) - 6
-32 ≠ -26
Incorrect.
--------------------------------
Lets try -3:
2(3(-3) - 1) = 4(-3) - 6
2(-9 - 1) = (-12) - 6
2(-10) = (-12) - 6
-20 ≠ -18
Incorrect.
--------------------------------
Lets try -1:
2(3(-1) - 1) = 4(-1) - 6
2(-3 - 1) = (-4) - 6
2(-4) = (-4) - 6
-8 ≠ -10
Incorrect.
--------------------------------
So all the options are incorrect.
--------------------------------
Lets solve for x:
2(3x - 1) = 4x - 6
(2 * 3x) + (2 * -1) = 4x + (-6)
6x + (-2) = 4x + (-6)
6x - 2 = 4x - 6
6x - 2 - 4x = 4x - 6 - 4x
2x - 2 = -6
2x + 2 - 2 = -6 + 2
2x = -4
2x/2 = -4/2
x = -2
--------------------------------
Hope This Helped! Good Luck!
Answer:
-1 is the answer
Step-by-step explanation:
how much does 4 5/7 kg of candy cost if 5/6 kg costs $7.50
Answer:
42.4285714286
Step-by-step explanation:
If you divide 7.5 by 5/6, the answer comes out to 9. If you multiply 4 5/7 by 9, the answer is 42.4285714286.
2 + 2 divided by 2 is 3 why?
what is 3 divde by 3/4
[tex]\bf 3\div \cfrac{3}{4}\implies \cfrac{3}{1}\div\cfrac{3}{4}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\cdot \cfrac{4}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 4[/tex]
Jillian owns 60% of the stock
in a private catering
corporation. There are 1,200
shares in the entire
corporation. How many
shares does Jillian own?
Answer:
720 shares
Step-by-step explanation:
Find 60% of 1,200, to figure out how many shares Jillian has.
Change 60% to decimal
0.6
Multiply with the total shares
0.6 x 1,200 = 720
720 shares
Jillian owns 720 shares in a catering corporation.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine 60% of 1,200, to figure out how many shares Jillian has.
Convert 60% into a decimal
⇒ 0.6
Multiply with the total shares
⇒ 0.6 × 1200
⇒ 720
Hence, Jillian owns 720 shares in a private catering corporation.
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What is the inverse of the function f(x) = x +3?
h(x) = one-thirdx + 3
h(x) = one-thirdx – 3
h(x) = x – 3
h(x) = x + 3
Answer:
C. [tex]h(x)=x-3[/tex]
Step-by-step explanation:
We have been given a function [tex]f(x)=x+3[/tex]. We are asked to find the inverse of the given function.
First of all, we will replace [tex]f(x)[/tex] by y as:
[tex]y=x+3[/tex]
Now, we will interchange x and y variables as:
[tex]x=y+3[/tex]
Solve for y:
[tex]x-3=y+3-3[/tex]
[tex]x-3=y[/tex]
Switch sides:
[tex]y=x-3[/tex]
Therefore, the inverse function for the given function would be [tex]h(x)=x-3[/tex].
Answer:
C
Step-by-step explanation:
Someone plzzz help I’m lost :(
Answer:
j = (h-4) / k
Step-by-step explanation:
Unless there is more information given about this question somewhere else in the assignment, I'm assuming you are being asked to solve this equation for j.
If so, then its just a matter of rearranging the equation so that it is in the form
j = (expression containing other variables)
(h-4) / j = k (multiply both sides by j)
(h-4) = jk (divide both sides by k)
j = (h-4) / k
help me with this question pls
Answer:1-1/3
Step-by-step explanation:
2/3x2=1-1/3
Answer:
3 loaves of banana bread
Step-by-step explanation:
2/3 x 3= 6/3. 6/3 simplified is 2 cups. I hope this helps!
How can i do this equation 8y-(5y+2)=16
Answer:
y=6
Step-by-step explanation:
8y-5y-2=16
8y-5y=16+2
3y=18
y=18/3
y=6
Hey!
------------------------------
Solution:
8y - (5y + 2) = 16
3y - 2 = 16
3y + (-2) + 2 = 16 + 2
3y = 18
3y/3 = 18/3
y = 6
------------------------------
Answer:
y = 6
------------------------------
Hope This Helped! Good Luck!
A rectangle strip of land is 2 1/2 miles wide its area is 5/6 square mi.² what is the length of the strip of land
Answer:
1/3 mile
Step-by-step explanation:
Answer:
1/3 mile
Step-by-step explanation:
A rectangle strip of land is 2 1/2 miles wide its area is 5/6 square mi.² what is the length of the strip of land
Please help me it’s due in a hour! I’ll do brainiest to the first right person and please explain how to.
Answer:
you got to draw a line cutting the shapes in half, then add the permiters or area of both squares
Step-by-step explanation:
three times the square of the difference of x and 6 is 12
Answer:
Equation: [tex]3(x-6)^2=12[/tex]
Solutions: [tex]x=4\text{ or }x=8[/tex]
Step-by-step explanation:
Unknown variable [tex]= x[/tex]
Difference of x and 6 [tex]= x - 6[/tex]
Square of the difference of x and 6 [tex]=(x-6)^2[/tex]
Three times the square of the difference of x and 6 [tex]=3(x-6)^2[/tex]
Three times the square of the difference of x and 6 is 12, then
[tex]3(x-6)^2=12[/tex]
Divide this equation by 3:
[tex](x-6)^2 =4[/tex]
Now
[tex]x-6=2\text{ or }x-6=-2\\ \\x=2+6\text{ or }x=-2+6\\ \\x=8\text{ or }x=4[/tex]
Answer:
The answer is x=4 or x=8
Step-by-step explanation:
what are the first four terms of the geometric sequence an=2 an-1 and a1=3
Answer:
3, 6, 12, 24
Step-by-step explanation:
This is a recursive formula which allows the next term in a sequence to be found from the previous term in the sequence
Given
[tex]a_{n}[/tex] = 2[tex]a_{n-1}[/tex] with a₁ = 3, then
a₂ = 2 × a₁ = 2 × 3 = 6
a₃ = 2 × a₂ = 2 × 6 = 12
a₄ = 2 × a₃ = 2 × 12 = 24
Thus the first 4 terms are 3, 6, 12, 24
Answer:
B.[tex]3,6,12,24[/tex]
Step-by-step explanation:
We are given that
[tex]a_n=2a_{n-1}[/tex]
[tex]a_1=3[/tex]
We have to find the first four terms of G.P
Substitute n=2
[tex]a_2=2a_1=2(3)=6[/tex]
Substitute n=3
[tex]a_3=2a_2=2(6)=12[/tex]
Substitute n=4
[tex]a_4=2a_3=2(12)=24[/tex]
Hence, the first four terms of G.P are given by
[tex]3,6,12,24[/tex]
Option B is true.
3 y - 14 equals 13what is the answer to 3y - 14 equals 13
3y-14=13
move -14 to the other side
sign changes from -14 to +14
3y-14+14=13+14
3y=13+14
3y=27
divide both sides by 3 to get y by itself
3y/3=27/3
Answer: y=9
Katie collects stamps. She has stamps from Canada, the U.S.A, and the rest of the world in a ratio of 1: 1.2: 1.5. She has 135 stamps from the rest of the world.
a) How many stamps are from Canada?
b) How many stamps are from the U.S.A?
c) What is the total number of stamps in Katie's collection?
(Please explain and show how you got those answers.)
Answer:
Step-by-step explanation:
: I got A)90
B)108
C)333
Hope that's right. I checked it 4 times.
Answer:
Step-by-step explanation:
A) 90
B) 108
C)333
The sum of two consecutive numbers is 535
Answer:
267 and 268Step-by-step explanation:
[tex]n,\ n+1-\text{two consecutive numbers}\\\\535-\text{the sum}\\\\\bold{EQUATION:}\\\\n+(n+1)=535\\\\n+n+1=535\\\\2n+1=535\qquad\text{subtract 1 from both sides}\\\\2n+1-1=535-1\\\\2n=534\qquad\text{divide both sides by 2}\\\\\dfrac{2n}{2}=\dfrac{534}{2}\\\\n=267[/tex]
Is the graph a funtion
Answer:
Yes
Step-by-step explanation:
A function correlates elements from a set one and only one element from a different set. Think of a train timetable: you can't have the same train in two points at a given time.
An easy way to solve the problem is to take a ruler (or the edge of a sheet of paper, as long as it's straight) and scan the graph parallel to the Y axis. As long as you don't touch the graph more than once, it's a function (zero points is ok!)
Answer:
yes
Step-by-step explanation:
What’s the algebraic expression of ? Twice the sum of a number n and 2 ?
A 2(n+2)
B n+2•2
C 2n+2
D 2+(n+2)
Answer:
A is the answer. 2(n+2)
Answer:
A
Step-by-step explanation:
The sum of a number n and 2 is n + 2
Twice this sum is
2(n+ 2) → A
Units of Weight
How many kilograms are equivalent to 5 pounds?
1.13 kg
2.25 kg
5.67 kg
11.05 kg
Answer:
B; 2.25
Step-by-step explanation:
One day last week, 6 teachers joined 5/7 of the members of the running club in an after-school run. Priya counted a total of 31 people running that day. How many members does the running club have?
Answer:
The running club has 35 members
Step-by-step explanation:
Let
x ----> the total members of the running club
we know that
The total members of the running club multiplied by 5/7 plus 6 must be equal to 31 people
so
[tex]\frac{5}{7}x+6=31[/tex]
Solve for x
[tex]\frac{5}{7}x=31-6[/tex]
[tex]\frac{5}{7}x=25[/tex]
[tex]x=25(7)/5[/tex]
[tex]x=35\ members[/tex]
therefore
The running club has 35 members
Probability of a male having a blood circulation problem, given he's a smoker, is approximately 0.6667.
Step 1:
Identify the given probabilities:
Let [tex]\( P(A) \)[/tex] be the probability that a randomly chosen male has a blood circulation problem, which is [tex]\( 0.25 \)[/tex].
Let [tex]\( P(B|A) \)[/tex] be the probability that a male is a smoker given that he has a blood circulation problem, and it's twice the probability of being a smoker given not having a blood circulation problem.
Step 2:
Calculate [tex]\( P(B|\neg A) \)[/tex]:
Since males with blood circulation problems are twice as likely to be smokers as those without, \( P(B|\neg A) \) is half of [tex]\( P(B|A) \)[/tex], which is [tex]\( \frac{1}{2} \)[/tex].
Step 3:
Apply Bayes' theorem:
[tex]\[ P(A|B) = \frac{P(B|A) \times P(A)}{P(B)} \][/tex]
Step 4:
Calculate \( P(B) \):
[tex]\[ P(B) = P(B|A) \times P(A) + P(B|\neg A) \times P(\neg A) \][/tex]
Step 5:
Substitute values into Bayes' theorem and solve:
[tex]\[ P(A|B) = \frac{(2 \times P(B|\neg A)) \times P(A)}{(2 \times P(B|\neg A)) \times P(A) + P(B|\neg A) \times (1 - P(A))} \]\[ P(A|B) = \frac{(2 \times \frac{1}{2}) \times 0.25}{(2 \times \frac{1}{2}) \times 0.25 + \frac{1}{2} \times (1 - 0.25)} \]\[ P(A|B) = \frac{0.25}{0.25 + 0.125} \]\[ P(A|B) = \frac{0.25}{0.375} \]\[ P(A|B) \approx 0.6667 \][/tex]
Thus, the probability that a male has a blood circulation problem, given that he is a smoker, is approximately 0.6667.
Ed earns 20$ per hour how much will he earn in a 40 hour work week
Answer:
$800
Step-by-step explanation:
40*20=800
$800
what is the value of x?
Answer: 36
Step-by-step explanation:
5x has to equal 180 and 180 divided by 5 equals 36. This means that x=36 and 4x=144
Answer: B. 36
Step-by-step explanation:
Look at the answer choices. The one that is an obtuse angle, 144, is going to be divided by 4. Your answer is B. 36
2×103 find the value
Answer:
206.
Step-by-step explanation:
100x2 = 200
3x2 = 6
200+6 = 206
Answer:
206
Step-by-step explanation:
multiplying anything by 2 is basically adding the exact same number to the original number. So basically: 103 +103
which equals 206
!. lan wants to promote his band on the Internet. Site A offers website
hosting for $4.95 per month with a $49.95 startup fee. Site B offers
website hosting for $9.95 per month with no startup fee. For how
many months would lan need to keep the website for Site B to be less
expensive than Site A?
Answer:
Ian need to keep the website for site B less than 10 months
Step-by-step explanation:
Let
x -----> the number of months
y ----> the cost for website hosting
we know that
Site A
[tex]y=4.95x+49.95[/tex] -----> equation A
Site B
[tex]y=9.95x[/tex] -----> equation B
Equate equation A and equation B and solve for x
[tex]9.95x=4.95x+49.95[/tex]
[tex]9.95x-4.95x=49.95[/tex]
[tex]5x=49.95[/tex]
[tex]x=9.99\ months[/tex]
Round the number of months
[tex]x=10\ months[/tex]
For x=10 months ----> the cost for website hosting is the same in both sites
For x>10 months ---> the cost for website hosting is less expensive in site A
For x<10 months ---> the cost for website hosting is less expensive in site B
therefore
Ian need to keep the website for site B less than 10 months
When comparing the two hosting sites, Site B becomes cheaper than Site A after around 10 months, if the website is kept active during this period. This calculation is made by setting up an equation for the costs and solving for the number of months.
Explanation:When Ian wants to promote his band on the Internet by creating a website, he needs to make a decision about the cost effectiveness between the two hosting sites. Let's break down the costs for each site:
Site A = $49.95 (startup fee) + $4.95 (per month fee)Site B = $9.95 (per month fee) as there is not a startup fee.To find out when Site B would be cheaper than Site A, we need to set up an equation where the left-hand side is the cost for Site A and the right-hand side is the cost for Site B. The equation would therefore be, $49.95 + $4.95n (with n being the number of months) = $9.95n.
To solve for n, subtract $4.95n from both sides leaving $49.95 = $5n. Dividing $49.95 by $5 gives us n = 9.99, which means after around 10 months, Site B becomes cheaper than Site A provided Ian keeps the site active.
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What times what equals 640
Answer: 8 x 80
Step-by-step explanation: if you multiply 8 x 80 then you can just act as if the 80 is 8 and once you do the multiplication add the 0 at the end when your done.
CECE HIKING ON A MOUNTAIN AND STOPS AT 15 5/8 FEET ABOVE SEA LEVEL .THE BASE OF THE MOUNTAIN IS 10.2 FEET BELOW SEA LEVEL .WHAT IS THE VERTICAL DISTANCE BETWEEN CECE AND THE BASE OF THE MOUNTAIN?
Answer:
The vertical distance is 25.825 ft
Step-by-step explanation:
we know that
To find out the vertical distance between Cece and the base of the mountain, subtract the height of the base of the mountain from the height of Cece
Let
x -----> the height of Cece
y ----> the height of the base of the mountain
we have
[tex]x=15\frac{5}{8}\ ft[/tex] ----> is positive because is above sea level
convert to an improper fraction
[tex]x=15\frac{5}{8}\ ft=\frac{15*8+5}{8}=\frac{125}{8}=15.625\ ft[/tex]
[tex]y=-10.2\ ft[/tex] -----> is negative because is below sea level
so
[tex]x-y=15.625-(-10.2)=15.625+10.2=25.825\ ft[/tex]
Remember that -1*(-1)=+1
Write and simplify an expression for 6 to the third power
Answer:
6 x 6 x 6
Step-by-step explanation:
Six to the third power means to multiply 6 by itself 3 times.
The standard exponential function is expressed as y = ab^x. The value for the simplified form of 6 to the third power is 216
Exponential functionsThe standard exponential function is expressed as y = ab^x
Given the following parameters
6 to the third power
This can be expressed as 6^3
6^3 = 6 * 6 * 6
6^3 =36 *6
6^3 = 216
Hence the value for the simplified form of 6 to the third power is 216
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he equation sin (40 degree) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC.
Triangle A B C is shown. Angle A C B is a right angle. The length of side A C is b and the length of hypotenuse A B is 20 centimeters.
What is the length of ? Round to the nearest tenth.
Answer:
The value of b is 12.9 cm
The value of a is 15.3 cm
Step-by-step explanation:
see the attached figure to better understand the problem
Find the value of b
we know that
in the right triangle ABC
The function sine of angle of 40 degrees is equal to divide the opposite side to the angle of 40 degrees (AC) by the hypotenuse (AB)
so
[tex]sin(40\°)=AC/AB[/tex]
Solve for AC
[tex]AC=(AB)sin(40\°)[/tex]
substitute the given value
[tex]AC=(20)sin(40\°)[/tex]
[tex]AC=12.9\ cm[/tex]
therefore
The value of b is 12.9 cm
Find the value of a
we know that
in the right triangle ABC
The function cosine of angle of 40 degrees is equal to divide the adjacent side to the angle of 40 degrees (BC) by the hypotenuse (AB)
so
[tex]cos(40\°)=BC/AB[/tex]
Solve for BC
[tex]BC=(AB)cos(40\°)[/tex]
substitute the given value
[tex]BC=(20)cos(40\°)[/tex]
[tex]BC=15.3\ cm[/tex]
therefore
The value of a is 15.3 cm
Bailey drove 290 miles in 4 hours. Find the miles per hour.
Answer:
72.5 miles/hour
Step-by-step explanation:
When we say "miles per hour" in English this just is simply the question "If Bailey drove for only one hour, how far did she go?". Now mathematically we can find this very easily by simply dividing 290 by 4, which is equal to 72.5. So Bailey travels 72.5 miles every hour.
If it is confusing about why we do this, think about splitting up 290 miles evenly between 4 hours, how many miles does each hour 'get'. Each would 'get' 72.5 miles. So for every hour Bailey drives she travels 72.5 miles which is the same as saying that she drove at 72.5 miles per hour.
Hope this helps!
-2(2x+1)=1 define x and explain why
Answer:
x=-3/4
Step-by-step explanation:
Use the distributive property a(a+b)= ab+bc:
-4x-2=1
Add a 2 to both sides:
-4x=3
Divide both sides by -4:
x=3/-4
This can be rewritten as -3/4