Answer:
x=22
Step-by-step explanation:
2(x+5)=3(x-4)
2x+10=3x-12
-x=-22
x=22
Step 1: Distribute the numbers outside the parentheses to each number inside the parentheses
(2 * x) + (2 * 5) = (3 * x) + (-4 * 3)
2x + 10 = 3x - 12
Step 2: Combine like terms
2x goes with 3x. To do this subtract 2x to both sides (subtraction is the opposite of addition)
(2x - 2x) + 10 = (3x - 2x) - 12
0 + 10 = x - 12
10 = x - 12
10 goes with -12. To do this add 12 to both sides (addition is the opposite of subtraction)
10 + 12 = x + (-12 + 12)
22 = x + 0
22 = x
Check:
2(22 + 5) = 3(22 - 4)
2(27) = 3(18)
54 = 54
Hope this helped!
~Just a girl in love with Shawn Mendes
Which of the following are identities? Check all that apply.
Answer:
Options A and D.
Step-by-step explanation:
To check the identities we have to check each option given.
A. tan(x - π) = tanx
We take left hand side (L.H.S.) of the equation.
tan(π - x) = tanx [ since we know tan(π ± x) = tanx ]
So L.H.S. = R.H.S.
It's an identity.
B. sin(x + y) + sin(x - y) = 2cosx siny
We take L.H.S. first
sin(x + y) + sin(x - y)
= sinx coxy + siny cosx + sinx cosy - cosx siny
= 2sinx cosy ≠ R.H.S.
Option B is not an identity.
C. cos(x + y) - cos(x - y) = 2cosx cosy
We take L.H.S. of the equation.
cos(x + y) - cos(x - y) = cosx cosy - sinx siny - (cosx cosy + sinx siny)
= -2sinx siny ≠ R.H.S.
Therefore, option C is not an identity.
D. cos(x + y) + cos(x - y) = 2cosx cosy
We take L.H.S. of the equation.
cos(x + y) + cos(x - y) = cosx cosy - sinx siny + cosx cosy + sinx siny
= 2cosx cosy = R.H.S.
Therefore, option D is an identity.
Options A and D are the identities.
The table below shows two equations:
Equation 1 |4x − 3|− 5 = 4
Equation 2 |2x + 3| + 8 = 3
Which statement is true about the solution to the two equations?
* Equation 1 and equation 2 have no solutions.
* Equation 1 has no solution, and equation 2 has solutions x = −4, 1.
* The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution. *
* The solutions to equation 1 are x = 3, −1.5, and equation 2 has solutions x = −4, 1.
Answer:
Option C is correct.
Step-by-step explanation:
Equation 1 |4x − 3|− 5 = 4
Adding +5 on both sides
|4x − 3|− 5 +5 = 4 +5
|4x − 3| = 9
Apply absolute rule:
IuI = a and a>0 then u = a and u = -a
so, 4x-3 = 9 and 4x-3 = -9
Solving
4x = 9+3 and 4x = -9+3
4x = 12 and 4x = -6
x = 12/4 and x = -6/4
x = 3 and x = -3/2 or -1.5
Equation 2 |2x + 3| + 8 = 3
Adding -8 on both sides
|2x + 3| + 8 -8 = 3 -8
|2x + 3| = -5
Apply absolute rule:
IuI = a and a>0 then u = a and u = -a
But we cannot apply absolute rule because in our case a < 0 i.e -5
So, Equation 2 has no solutions.
Hence Option C The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution is correct.
How many different sandwiches with one meat, one cheese, and one type of bread can be made if there are 3 choices of meat, 2 choices of cheese, and 4 choices of bread?
Answer:
24
Step-by-step explanation:
⇒The question is on probability, to be specific its about counting principal
⇒You need to understand the counting rule where we multiply events together to get the total number of outcomes .
⇒In general if we have an event t and another event s the total outcome for the events is given by t×s
⇒In this question you multiply the number of ways we can make the different sandwiches
Given
meat=3 choices
cheese=2 choices
bread=4 choices
Outcomes= 3×2×4=24
The total number of sandwiches that can be made = 24
There are 24 different sandwiches that can be made with 3 choices of meat, 2 choices of cheese, and 4 choices of bread.
Explanation:The subject of this question is related to combinatorics, a topic in mathematics. The question asks, 'How many different sandwiches with one meat, one cheese, and one type of bread can be made if there are 3 choices of meat, 2 choices of cheese, and 4 choices of bread?'.
To find the answer, you would use the fundamental principle of counting which states that if there are n ways to do one thing and m ways to do another thing, then there are n * m total ways to perform both actions. In this case, we multiply the number of options together:
There are 3 choices for the meat.There are 2 choices for the cheese.There are 4 choices for the bread.Hence, the total number of different sandwiches that can be made is given by 3 (choices of meat) * 2 (choices of cheese) * 4 (choices of bread), which equals 24 different sandwiches.
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How do you get to 5,652 using 12 + something?
"Something" is a variable. A variable is a number that we do not know. The variable will be x.
5,652 is the total; the total is 12 plus x.
5652 = 12 + x
Subtract 12 from each side
5652 - 12 = 12 + x - 12
5640 = x
change it around
x = 5640.
5640 is your answer
The probability of a given event is . If the experiment is repeated n times, what is the probability that the event does not occur in any of the trials?
ILL GIVE U BRAINLIEST AND 30 POINTS
HELP
Final answer:
The probability that a given event does not occur in any of the trials when an experiment is repeated n times is calculated using the formula (1 - P(A))^n, where P(A) is the probability of the event occurring in a single trial.
Explanation:
The question is about finding the probability that a given event does not occur in any of the trials when an experiment is repeated n times. Let's denote the probability of the event occurring as P(A) and the probability of the event not occurring as P(~A). The probability that an event does not occur in a single trial is 1 - P(A). Therefore, if the experiment is repeated n times independently, the probability that the event does not occur in any of these trials is given by (1 - P(A))^n. This formula arises from the principle that for independent events, the probability of both events A and B occurring is the product of their individual probabilities, P(A) and P(B). Since each trial is independent, and we are looking for the event not happening across all n trials, we multiply the probability of it not happening in one trial by itself n times.
What is the reverse of “multiply by 6”
Answer:
Divide by 6
Step-by-step explanation:
The reverse or inverse of multiply by 6 is divide by 6.
Which is larger 0.08 or 0.028
Answer:
0.028
Step-by-step explanation:
0.08 Is Bigger Than 0.028
Drag each label to the correct location on the figure. Not all labels will be used.
Find the missing angle measurements.
Answer:
The answers are on the image shown.
remember that all the angles of a triangle add up to 180
Step-by-step explanation:
hope this helps
Answer:
The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.
Step-by-step explanation:
According to exterior angle theorem: It a triangle
Exterior angle = Sum of opposite interior angles
In triangle BED,
[tex]\angle AEF=\angle B+\angle D[/tex]
[tex]82=\angle B+28[/tex]
[tex]82-28=\angle B[/tex]
[tex]54=\angle B[/tex]
The measure of angle B is 54°.
In triangle ABC,
[tex]\angle ACD=\angle A+\angle B[/tex]
[tex]105=\angle A+54[/tex]
[tex]105-54=\angle A[/tex]
[tex]51=\angle A[/tex]
The measure of angle A is 51°.
In triangle AEF,
Using angle sum property,
[tex]\angle A+\angle E+\angle AFE=180[/tex]
[tex]51+82+\angle AFE=180[/tex]
[tex]133+\angle AFE=180[/tex]
[tex]\angle AFE=180-133[/tex]
[tex]\angle AFE=47[/tex]
Therefore the measure of angle AFE is 47°.
multiply (a-2)(2a^2-5a-2)
Distribute sum groups
a(2a^2 - 5a - 2) - 2(2a^2 - 5a - 2)
Expand
2a^3 - 5a^2 - 2a - (4a^2 - 10a - 4)
Simplify brackets
2a^3 - 5a^2 - 2a - 4a^2 + 10a + 4
Collect like terms
2a^3 + (-5a^2 - 4a^2) + (- 2a + 10a) + 4
Simplify
= 2a^3 - 9a^2 + 8a + 4
Find the interest earned and the future value of an annuity with semiannual payments of $1,500 for 16 years into an account that pays 9% interest per year compounded semiannually.
Answer:
interest earned= 1853.98
the future value of an annuity= 2453.98
Step-by-step explanation:
Given Data:
Interest rate= 9%
time,t = 16 years
Semi-Annual payment, P= 600
n= 2 as Semi-Annual
At the end of 16 years, final investment A= ?
As per the interest formula for compounded interest
A= P(1+r/n)^nt
Putting the values in above equation
= 600(1+0.09/2)^32
= 2453.98
Interest earned = A-P
= 2453.98-600
= 1853.98 !
What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?
Answer:
(5, - 9)
Step-by-step explanation:
Given
f(x) = (x - 8)(x - 2) ← in factored form
Find the zeros by equating f(x) to zero, that is
(x - 8)(x - 2) = 0
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x - 2 = 0 ⇒ x = 2
The vertex lies on the axis of symmetry which is located at the midpoint of the zeros, hence
[tex]x_{vertex}[/tex] = [tex]\frac{8+2}{2}[/tex] = 5
Substitute x = 5 into f(x) for corresponding y- coordinate
f(5) = (5 - 8)(5 - 2) = (- 3)(3) = - 9
vertex = (5, - 9)
Answer: (5,-9)
Step-by-step explanation:
Make the multiplication indicated:
[tex]f(x) = x^2-2x-8x+16[/tex]
Add the like terms:
[tex]f(x) = x^2-10x+16[/tex]
Now find the x-coordinate of the vertex with this formula:
[tex]x=\frac{-b}{2a}[/tex]
In this case:
[tex]b=-10\\a=1[/tex]
Then:
[tex]x=\frac{-(-10)}{2(1)}=5[/tex]
Rewrite the expression with [tex]f(x)=y[/tex]
[tex]y = x^2-10x+16[/tex]
Now substitute [tex]x=5[/tex] into the function to find the y-coordinate of the vertex:
[tex]y = (5)^2-10(5)+16[/tex]
[tex]y =-9[/tex]
Therefore, the vertex is:
(5,-9)
Solve for the variable x in the following equation. x2 = 121 x =±
Answer:
x = ±11
Step-by-step explanation:
x^2 = 121
Take the square root of each side
sqrt(x^2) = sqrt(121)
x = ±11
When a warehouse opened, it had an inventory of 6,000 items. Every month, the inventory increases by 3,000 items.
Which graph has the most appropriate scales and units for this situation?
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x----> the time in months
y ----> the total inventory of the warehouse
we know that
The linear equation that represent this situation is equal to
[tex]y=3,000x+6,000[/tex]
using a graphing tool
see the attached figure
Answer: Guessing this is off the test.
The graph with
6
12
18
21
30 should be correct.
Step-by-step explanation:
Wes lives in Colorado, which has a state income tax rate of 4.63%. He earns $895 weekly. How much state income tax is withheld from each of his paychecks?
All you must do to find out how much is with held from his paycheck is
solve this
x amount of dollars
÷ = 4.63%
$895
To solve, multiply $895 by 0.0463 (the equivalent of 4.63%)
You get: $41 . 43
That is how much is withheld from Wes' check
The amount of tax withheld from his paychecks is $41.43
What is percentage?Percentage is defined as a given part or amount in every hundred
Income tax rate given in the question = 4.63%
Weekly income given in the question = $895
Tax deducted = (4.63 / 100) * 895 = $41.43
Hence, $41.43 will be deducted from his paychecks every week.
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today Kylee put a kitchen table on layaway by making a down payment of 120 and agreeing to pay $48 a month starting next month for 24 months when will I receive the kitchen table
Answer:
2 1/2 months by the 3rd month
Step-by-step explanation:
Answer:
Kylee will receive the table in 24 months.
Step-by-step explanation:
Layaway is a type of purchasing method where the buyer places a deposit on an item to secure it or lay it aside. The buyer will pick up the item later when he pays the full balance.
This system allows the buyer to make smaller payments on the item until the full amount has been paid off.
So, if Kylee put the kitchen table on layaway, and agrees to pay $48 a month starting next month for 24 months. She will get the table in 24 months after completing her payment.
Which of the following shapes is convex?
D. Is a convex shape.
A convex shape will have no angles less than 180 degrees pointing inward. A, B, and C all have at least one of these angles. Whereas D, only has outward angles.
Only the shape D is convex structure.
What is convex?A form that curves outward is convex.
We know that the convex structure has no inward shape.
In the shape A,B and C;
all of the shape have inward structure.
Whereas shape D has only outward structure.
Therefore, Only shape D is convex.
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Clara's class is going on a trip to the local science museum. Twenty-five students, one teacher, and three parents are going on the trip. The museum charges $3.50 admission for each student and $5.00 for each adult. How much will it cost for all the students and the adults to enter the museum?
Question 2 options:
a $87.50
b $101.50
c $102.50
d $107.50
Answer:
$107.50
Step-by-step explanation:
$3.50 = 1 STUDENT
$5.00 = 1 ADULT
TWENTY FIVE STUDENTS = $3.50 × 25 = $87.50
FOUR ADULTS (ONE TEACHER AND THREE PARENTS) = $5.00 × 4 = $20.00
TOTAL COST = $87.50 + $20.00 = $107.50
I need help please??!!
Answer:
Step-by-step explanation: (5,-2)
Answer:
(5,-2)
Step-by-step explanation:
Please help will give brainliest
Answer:
[tex]b = 17[/tex]
Step-by-step explanation:
For this triangle we have to
[tex]a=18.2\\B=62\°\\C=48\°[/tex]
We want to find the length of b
We know that the sum of the internal angles of a triangle is 180 °
So
[tex]A + 62 +48=180\\\\A=180-62-48\\\\A=70\°[/tex]
Now we use the sine theorem to find the length of b:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
Then:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(18.2)\frac{sin(62)}{sin(70)}\\\\b=17[/tex]
What is the midpoint of AC
ANSWER
B) (m+p,n+r)
The coordinates are :
A(2m,2n)
B(2p,2r)
To find the x-coordinate of the midpoint of AB, we add the x-coordinates of the two points and divide by 2.
[tex]x = \frac{2m + 2p}{2} [/tex]
Factor
[tex]x = \frac{2(m + p)}{2} [/tex]
Simplify:
[tex]x = m + p[/tex]
Similarly, the y-coordinate is
[tex]y = \frac{2n + 2r}{2} [/tex]
[tex]y = \frac{2(n + r)}{2} [/tex]
[tex]y = (n + r)[/tex]
Hence the midpoint is
(m+p,n+r)
Jeff has a cube train that is 22 inches long. he removes 8 inches of cubes from the train. How long is Jeff's cube train now?
Answer:
14 inches long
Step-by-step explanation:
Answer:
14 inches long
Step-by-step explanation:
what is 0.007÷0.0435
Answer:0.16091954023
Step-by-step explanation:
Answer: Based on the calculator it’s...
0.16091954023
Step-by-step explanation:
Which option below correctly lists the domain, range, and a point on the graph of q(x)=x-49?
Domain = All real numbers greater than or equal to 49; Range = All non-negative numbers; (13, 218)
Domain = All real numbers greater than or equal to 49; Range = All non-negative numbers; (50, 1)
Domain = All non-negative numbers; Range = All real numbers greater than or equal to 49; (218, 13)
Domain = All non-negative numbers; Range = All real numbers greater than or equal to 49; (1, 50)
Answer:
Domain = All non-negative numbers; Range = All real numbers greater than or equal to 49; (1, 50)
Step-by-step explanation:
Answer:
Domain = all real number greater than or equal to 49
Range=all non- negative numbers
point=(50,1)
Step-by-step explanation:
The graph of q(x)=x-49
domain is the collection of numbers which assign for x in the function q(x)=x-49
therefore domain is the collection pf real number which is greater than or equal to 49 .
Range is the collection of numbers whic is obtained after aasignig value of x in the function q(x)=x-49
hence, range is the collection of non negative numbers which is obtained after putting the value of x in the given function q(x)=x-49
when we put x=50 in q(x)=x-49 then we obtain 1
hence, the poin is (50,1) on the given graph.
PLEASE BRANLIESTTT
A pop star is coming for a live concert in your area. The ticket proceeds will benefit a nonprofit organization helping underprivileged children interested in music education. They would like to raise $1,500.
Stage-level seats are on sale for \$10 each and balcony-level seats are on sale for \$5 each. How many of each seat type would need to be sold to reach the goal of \$1,500?
You can set up an equation to help solve this problem. Translate the situation above by letting x represent the number of stage-level seats and by letting y represent the number of balcony-level seats.
Answer:
You would need to sell 100 of each
Step-by-step explanation:
$5 times 100 people equals $500.
$10 times 100 people equals $1,000.
$1,000+$500=1,500
I hope this helped!
Answer:
100 each
Step-by-step explanation:
Original price: $32
Discount: ?
Sale price: $8
Answer: 75%
Step-by-step explanation:
32 dollars times 75% = 24
32 - 24 = $8
The Discount is of amount $32.
What is Discount?The discount is equivalent to the difference between the purchase price and the par value. A discount is a decrease or deduction in a product's cost price.
Discount = Original price – Sale price.
We have,
Original price: $32
Sale price: $8
So, Discount Price = Original price - Sale price
= 32 - 8
= $24
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Some doctors recommend that men drink 3 liters of water every day . There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters ?
Answer:
[tex]\boxed{\text{101 fl oz}}[/tex]
Step-by-step explanation:
Step 1. Convert litres to millilitres
[tex]\text{V} = \text{3 L} \times \dfrac{\text{1000 mL}}{\text{1 L}} = \text{3000 mL}[/tex]
Step 2.Convert millilitres to fluid ounces
[tex]\text{v} = \text{3000 mL} \times \dfrac{\text{1 fl oz}}{\text{29.6 mL}} = \boxed{\textbf{101 fl oz}}[/tex]
The first day of Sam's vacation was a Monday. What day of the week was the Day 36 of Sam's vacation?
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
Answer:
A. Monday
Step-by-step explanation:
The solution to this problem can be found by creating a table
If Day 1 was Monday, then
Mon Tues Wed Thur Fri Sat Sun
1 2 3 4 5 6 7
8 9 10 11 12 13 14
...............
We can see that the multiples of 7 are falling on Sundays so we will divide 36 by 7 to get the closest multiple of 7 to 36.
The closest multiple of 7 near 36 is 35 so Day 35th will fall on Sunday and Day 36 will be on Monday
Hence, Option A is the correct answer..
Answer:
A. Monday
Step-by-step explanation:
The solution to this problem can be found by creating a table
If Day 1 was Monday, then
Mon Tues Wed Thur Fri Sat Sun
1 2 3 4 5 6 7
8 9 10 11 12 13 14
...............
We can see that the multiples of 7 are falling on Sundays so we will divide 36 by 7 to get the closest multiple of 7 to 36.
The closest multiple of 7 near 36 is 35 so Day 35th will fall on Sunday and Day 36 will be on Monday
Hence, Option A is the correct answer..
Which ratio is not equivalent to 5/3
4/3 I hope this helps
The equation of a circle is given below.
(x-20)^{2}+(y-0.05)^{2} = 81(x−20)
2
+(y−0.05)
2
=81left parenthesis, x, minus, 20, right parenthesis, start superscript, 2, end superscript, plus, left parenthesis, y, minus, 0, point, 05, right parenthesis, start superscript, 2, end superscript, equals, 81
What is its center?
((left parenthesis
,,comma
))right parenthesis
What is its radius?
If necessary, round your answer to two decimal places.
Answer:
Part 1) The center is the point [tex](20,0.05)[/tex]
Part 2) The radius is equal to [tex]r=9\ units[/tex]
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have
[tex](x-20)^{2}+(y-0.05)^{2}=81[/tex]
[tex](x-20)^{2}+(y-0.05)^{2}=9^{2}[/tex]
so
[tex](h,k)=(20,0.05)[/tex]
[tex]r=9\ units[/tex]
What is 15/7 as a mixed number
Answer:
Fraction can't be reduced (simplified). /7 = - 15/7 = - 2 1/7 = - 2.142857142857; Result written as a negative improper fraction, a mixed number (also called a mixed fraction) and a decimal number. Ordinary (simple, common) math fraction reducing to lowest terms (simplifying), answer with explanations below.
Step-by-step explanation:
2 1/7 Is Your Answer.
First, divide the numerator (the 15) by the denominator (the 7). This will give
you 2, with a remainder of 1.
The mixed number can be created by using the 2 as the whole number, the 1 as the numerator
and the 7 as the denominator.