W+(9+3) is the equivalent expression of (w+9)+3 by using associate property
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (w+9)+3
The operator in given expression is plus and variable is W.
The associative property of addition states that Changing the grouping of addends does not change the sum.
(x+y)+z=x+(y+z)
Similarly (W+9)+3=W+(9+3)
W+(9+3) is the equivalent expression of (w+9)+3 by using associate property
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-9 (-5 - 4c) simplify the expression and show your work. please this is due tomorrow
The simplified value of the expression given as -9 (-5 - 4c) is 45 + 36c
How to simplify the expression?From the question, the expression is given as
-9 (-5 - 4c)
To simplify the expression, we start by opening the bracket
So, we have the following equation
-9 (-5 - 4c) = -9 (-5 - 4c)
Remove the brackets
So, we have
-9 (-5 - 4c) = -9 x -5 -9 x - 4c
Evaluate the products
So, we have
-9 (-5 - 4c) = 45 + 36c
Hence, the value of the expressions is -9 (-5 - 4c) = 45 + 36c
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juan went out to eat dnner,and the meal cost $60.00.If juan recived a 18% discount,what was the total value of the discount
Multiply by the decimal form of the percentage,
60 * 0.18 = 1.08
So the discount is for $1.08 off,
60 - 1.08 = 58.92
Giving a total of $58.92 after the discount is applied
DS
6) You and five friends went out to a movie. You all
shared a large tub of popcorn that cost $16.50,
and you ordered individual boxes of candy that
cost $3,72 per person. You and your friends decide
to split the bill evenly. How much did each of you
pay?
Answer:
You would each pay $6.42
Have a good one!
23+107+x=180
It’s on triangle pls I need the answer
Answer: 50 degrees
Step-by-step explanation: 23+107+x=180
130+x=180
x=50
In terms of ln(4) and ln(5), rewrite the expression: ln 500
Answer:
2ln5 + ln4 + ln5
Step-by-step explanation:
Think about how we can write 500 in terms of 4 and 5.
[tex]500 = 5^2*(4*5)[/tex]
So ln(500) can be written as ln(5^2*4*5)
Using log rules [tex]log_b(x*y)=log_b(x)+log_b(y)\\logb(x^a)=a*log(x)[/tex]
we can rewrite ln(500) to 2ln5 + ln4 + ln5
given l || m || n, find the value of x
Answer:
x = 10
Step-by-step explanation:
(5x + 3) and 53 are corresponding angles and are congruent , then
5x + 3 = 53 ( subtract 3 from both sides )
5x = 50 ( divide both sides by 5 )
x = 10
The value of 'x' is highlighted in the box
The area of a square is 144 square meters. What is the length (in meters) of one side of the square?
Answer:
12 m
Step-by-step explanation:
area = (side)²
(side)² = area
√(side)² = √(area)
side = √(area)
side = √(144 m²)
side = 12 m
about 4% of the population has a particular genetic mutation. 300 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 300.
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
How to calculate the probability distribution's mean: Steps
change every percentage to a decimal probability.Create a probability distribution table in step two. Multiply each column's values. Combine the outcomes from step 3.A specific genetic mutation affects 4% of the population. 300 persons are chosen at random. Find the standard deviation for the proportion of the 300 groups who have the genetic mutation.
Standard deviation is calculated as follows: 0.04 * 0.93/300 * sqrt(p*(1-p)/n) (0.000124).
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To resolve 2(1-i) z² + (1+i) z + 3 (1 - i) = 0
Given:
There are given the complex equation:
[tex]2(1-i)z^2+(1+i)z+3(1-i)=0[/tex]Explanation:
To find the value, we need to put the standard value of z into the above-given complex function:
[tex]\begin{gathered} 2(1-\imaginaryI)z^2+(1+\imaginaryI)z+3(1-\imaginaryI)=0 \\ 2(1-\imaginaryI)(x+yi)^2+(1+\imaginaryI)(x+yi)+3(1-\imaginaryI)=0 \end{gathered}[/tex]Then,
[tex]\begin{gathered} 2(1-\imaginaryI)(x+y\imaginaryI)^2+(1+\imaginaryI)(x+y\imaginaryI)+3(1-\imaginaryI)=0 \\ (2x^2-2y^2+4xy+x-y+3)+i(-3+x+y-2x^2+2y^2+4xy)=0 \end{gathered}[/tex]Then,
[tex](2x^2-2y^2+4xy+x-y+3)+\imaginaryI(-3+x+y-2x^2+2y^2+4xy)=0+0i[/tex]So,
[tex]\begin{gathered} (2x^2-2y^2+4xy+x-y+3)+\imaginaryI(-3+x+y-2x^2+2y^2+4xy)=0+0i \\ 2x^2-2y^2+4xy+x-y+3=0 \\ -3+x+y-2x^2+2y^2+4xy=0 \end{gathered}[/tex]Then,
[tex]\begin{gathered} x=0,y=-\frac{3}{2} \\ x=0,y=1 \end{gathered}[/tex]Final answer:
Hence, the value of the given complex function is shown below:;
[tex]\begin{gathered} z=-\frac{3}{2}i \\ z=i \end{gathered}[/tex]4. En un vecindario, un camión de helados pasa cada 8 días y un food truck pasa cada 2
semanas. Se sabe que 15 días atrás ambos vehículos pasaron en el mismo día. Raúl M
cree que dentro de un mes los vehículos volverán a encontrarse y Oscar cree esto
ocurrirá dentro de dos semanas. ¿Quién está en lo cierto?
Answer:
???
Step-by-step explanation:
Is there a English version for this question?
2g + (g + 5) >= 6g - 10 whats the solution set?
Answer: g ≤ 5
Step-by-step explanation: 2g + (g + 5) >= 6g - 10 ⇒ g ≤ 5
three young brother-sister pairs from different families need to take a trip in a van. these six children will occupy the second and third rows in the van, each of which has three seats. to avoid disruptions, siblings may not sit right next to each other in the same row, and no child may sit directly in front of his or her sibling. how many seating arrangements are possible for this trip?
The number of permutations possible to seat the 3 pairs of siblings in a way that one may not sit right next to their sibling and no child may sit directly in front of his or her sibling is 96.
A permutation cannot be formed with siblings in the same row.
As a result, each row should have siblings from various families.
Any of the six youngsters can take the first seat.
After deducting the kid who currently occupies the first seat and their sibling, the second seat can be filled by any of the four children.
permutation = 6 × 4
permutation = 6 × 4 × 2
Now, for the third row, there are only 3 children left to be seated.
Only 2 out of the remaining three can be seated in the first position.
Hence, the remaining possibility is 2.
permutation = 6 × 4 × 2 × 2
Similarly, the third row can only be filled with one possibility remaining of the 6 since it is not allowed to seat siblings right up front.
permutation = 6 × 4 × 2 × 2 × 1 × 1 = 96
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the population of a city will quadruple in 15 years. if its current population is 6,000, using the given rate of change, what will its approximate population be 7 years from now
Answer:
11200
Step-by-step explanation:
taylor is repairing a gate and needs to nail a brace diagnally to strengthen the posts. if the height of the post is 48 inches and there is 64 inches between posts, in inches, what should the length of the diagonal brace be in order to fit between the posts?
The hypotenuse bracing must be 80 inches long in order to fit between the posts, when the height of the post is 48 inches and there is 64 inches between posts i.e base.
We must understand that a right angle is formed by the height of a post and the horizontal space between posts. The hypotenuse of a right triangle is then the diagonal that connects one post's highest point to its lowest point. The length of this hypotenuse can then be determined using the Pythagorean theorem.
The Pythagorean theorem states that H2 = P2 + D2, where P is the height of a post (cathetus), D is the distance between posts (cathetus), and H is the hypotenuse (diagonal).
We can substitute these values since we are aware of them:
H² = (48inches)² + (64inches)² = 2,304inches² + 4,096inches² = 6,400inches²
H= [tex]\sqrt{6400}[/tex] inches
H = 80inches
Therefore, The length of the diagonal brace be in order to fit between the posts is 80 inches.
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A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6 + 15b + 4 = 25.6.
What does the solution represent in this situation?
The solution b = 1.4 represents the weight of one bag of bean.
In the question;
it is given that
weight of cardboard box when empty = 0.6 pounds
number of bean bags = 15 bags
weight of rice bag = 4 pounds
let the number of bean bags = b
total weight of carboard box with contents= 25.6 pounds
So , according to the question
0.6 + 15b + 4 = 25.6
solving further , we get
15b+4.6 = 25.6
15b = 25.6-4.6
15b = 21
b = 21/15
b = 1.4
Therefore , the solution b = 1.4 represents the weight of one bag of bean.
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I need help with number 16 can I please get help?
We will break apart the figure into triangles, rectangles, squares etc. We will then find area of each individual figure and sum it.
We can break apart the figure as shown below:
WILL GIVE BRAINLOST TO BEST QUSTION
The cost of a ride in a taxi is $4 for the first half-mile plus a constant amount per half-mile after that. The sequence below shows the pattern of numbers that appear on the driver's screen.
2.50, 2.75, 3, 3.25, 3.50,...
Which of the following is the Recursive Function that can be used to determine f(x), the cost in dollars, for a ride in the tax of, x. half miles?
Answer:
I don't know men iam grade 7 student
please help tell me if correct or not
HELP! WILL GIVE BRAINLIEST
Answer:
second answer
Step-by-step explanation:
Put this shopping list into BIMDAS format (as above) and then show the steps to reach the answer.
Based on the given shopping list, when put in BIMDAS format and then solved, the total amount would be $26.90
How to find the total?In BIMDAS format, we have to solve the problem in the brackets first and then use the order of operations to find the total shopping cost.
The BIMDAS format would be:
= (Number of orange dozens x Cost per dozen) + (Number of bacon packets x Cost per packet) + (Number of strawberry packets x Price per packet)
= (3 x 4.50) + (2 x 2.50) + (2 x 4.20)
The solve those in the brackets:
= 13.5 + 5 + 8.40
Then add the costs to find the total cost on the shopping list:
= 13.5 + 5 + 8.40
= $26.90
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Based on the shopping list given in the problem, in BIMDAS format and then solved, the total amount will be; $26.90
How to find the total?In BIMDAS format, we need to solve the problem in the brackets first and then use the order of operations to determine the total shopping cost.
The BIMDAS format is:
= (Number of orange dozens x the Cost per dozen) + (Number of bacon packets x the Cost per packet) + (Number of strawberry packets x the Price per packet)
= (3 x 4.50) + (2 x 2.50) + (2 x 4.20)
The solutions in the brackets:
= 13.5 + 5 + 8.40
Then add the costs for the total cost on the shopping list which is;
= 13.5 + 5 + 8.40
= $26.90
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The Winchester Opera House sold 4,600 tickets this year, but it has been experiencing a 10%drop in sales from one year to the next. If this trend continues, then how many tickets willthe opera house sell 8 years from now?
Exponential decay formula:
[tex]y=a(1-r)^t[/tex]y is the number of tickets sold at t years
a is the initial number of tickets sold
r is the rate of drop (in decimal form)
t is the time in years
[tex]y=4600(1-0.1)^t[/tex]8 years from now:
[tex]\begin{gathered} y=4600(1-0.1)^8 \\ \\ y=4600(0.9)^8 \\ \\ y=1980.149 \end{gathered}[/tex]Then, if the trend continues, 8 years from now the number of tickets sell will be approximately 1980Hello I am not sure for what to do for the end of the equation.
ANSWER
25
EXPLANATION
We are given that p and q intersect to form <1 and <2 that are adjacent.
Let us represent that with a diagram:
We have that <1 and <2 are supplementary.
This means that they add up to 180 degrees.
So:
<1 + <2 = 180
4x - 3 + 3x + 8 = 180
Collect like terms:
4x + 3x + 5 = 180
7x = 180 - 5
7x = 175
x = 175 / 7
x = 25
That s the value of x for which <1 and <2 are supplementary.
Add −1 3/10+2/5 using the number line.
Select the location on the number line to plot the sum.
The location on the number line to plot the sum of the given number is shown in the image attached below.
What is a number line?In Mathematics, a number line simply means a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.
Note: Each interval on this number line represents 1/10.
Next, we would add the given numbers together as follows:
Number = −1 3/10 + 2/5
Number = −13/10 + 2/5
Number = (-13 + 4)/10
Number = -9/10 or -0.9.
Therefore, the sum would be located between -4/5 and -1.
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How much of a radioactive kind of nitrogen will be left after 30 minutes if you start with 1,920 grams and the half-life is 10 minutes?
determine the equation of line from the graph
Answer:
y = 2x
Step-by-step explanation:
The slope is 2. Find a point on the line, to go back to the line, go up two and one to the right. You will be back on the line. This pattern repeats over and over and again.
Every rational number is positive.
A. True
B. False
Answer:
Step-by-step explanation: it is true because when the numerator and denominator both are positive integers both are negative integers it is a positive rational number.
Two models are shown. Which expression does each model represent?
Move the correct answer to each box. Not all answers will be used.
solve B please thanks
The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].
Given,
The equation is :
p(x) = [tex]4x^3+x^2-24x-6[/tex]
c = -1/4
To find the remaining zeroes of p
Now, According to the question:
[tex]4x^3+x^2-24x-6[/tex]
Apply grouping
[tex](4x^3+x^2)+(-24x-6)=0[/tex]
Factor out common factor
[tex]x^{2} (4x+1)-6(4x+1)=0[/tex]
[tex](x^2-6)(4x+1)=0[/tex]
Apply zero Product Property
4x +1 = 0 or [tex]x^{2} -6=0[/tex]
x = -1/4 or x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex]
Hence, The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].
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Write the following phrase as an algebraic expression. Use n for “a number."three increased by the quotient of a number and twoa 3+n / 2b.3+ n/2c. 3(n+ 2)d. 3+2n
The problem states that "three increased by a quotient", this implies that the three is separated from the quotient, therefore, we need to create the equation in the following manner:
[tex]3\text{ + }\frac{n}{2}[/tex]The correct answer is "b".
Given:m angle 2+m angle 3 =180, angle 2 and angle 5 are supplementary
Prove:p l l q
The value of x is 29° and it's a supplementary angles.
What are supplementary angles?Supplementary angles simply means the angles that have a sum that is equal to 180°
In this case, we have been given two angles. It's important to equate them together. This will be illustrated as:
2x + 15 + 5x - 38 = 180
Collect like terms
7x - 23 = 180
Collect like terms
7x = 180 + 23
7x = 203
Divide
x = 203/7
x = 29°
The complete question is written below.
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Complete question
Given angle P is 2x + 15. and angle Q is 5x - 38. Prove that they are supplementary