Simplify using the distributive property
Which number can be distributed across two terms inside parentheses
Answers
Answer:
3/5 is the number that can be distributed across two terms inside parentheses.
you might not need it but:
x = 5
Step-by-step explanation:
3/5(x - 10) = 18 - 4x - 1
using distributive property, open the parentheses:
3/5x - 6 = 18 - 4x - 1
Simplify:
3/5x + 4x = 17 + 6
4⅗x = 23
x = 5
Answer:
It's 3/5
Step-by-step explanation:
It's 3/5
Related Questions
Solve the following quadratic inequality x^2+x-6>0
Answers
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
The sum of 8 and t
help anyone??
Answers
Not sure if I’m wrong but I am also learning this.
Answer:
8 + tStep-by-step explanation:
The sum of 8 and t ⇒ 8 + t
A bag has 1 red marble, 4 orange marbles, 2 green marbles, 6 blue
4
marbles, and 5 black marbles. You randomly pull a marble from the
bag, put it back, and then pull out another one.
What is the probability of not getting a black and then not getting a
green? Write your answer as a fraction.
Answers
Step-by-step explanation:
so first you must calculate the total amount of marbles there are, that being addition : 1+4+2+6+4+5 = 24 in total. now you want to make that into a fraction, 24/24 marbles, once again all together, so the probability of not getting a black marble is 5/24 and probability of not getting a green is 2/24.
State the dimensions of each matrix.
[3 -4 -9]
[2 -7 0]
Answers
Answer:
2 x 3 matrix
Step-by-step explanation:
The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?
Age: 13 14 15 16 17 18
Prob: 0.01 0.25 0.27 0.30 0.16 0.01
Answers
Answer:
15
Step-by-step explanation:
Expected value =prob(age)
(13*0.01)+(14*0.25)+(15*0.27)+(16*0.30)+(17*0.16)+(18*0.01)=15.38
round off to get 15
The expected value for the age of a randomly chosen student is 15.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
Total number of students, n = 1500,
Age : 13, 14, 15, 16, 17, 18
Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01
Calculate the expected value as shown below,
\(E = x_1P_1 + x_2P_2+x_3P_3+x_4P_4+x_5P_5+x_6P_6\)
E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01
E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18
E = 15.38 ≈ 15
Therefore, the expected value for the age of a randomly chosen student is 15.
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Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
Answers
The height of the tree after 6 years can be expressed as "3 feet + 6f feet."
The correct answer is A. 3f + 6 feet.
To determine the current height of the tree in terms of "f,"
let's analyze the given information.
We know that the tree was initially 3 feet tall when it was planted 6 years ago.
Since the tree grows every year, we can assume that its growth rate is consistent.
Let's denote the current height of the tree as "h" (in feet).
After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").
Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."
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How many
1/5s are in 9?
A.5/9
B.9/5
C.45
D.4 1/2
Answers
Answer:
C 45
Step-by-step explanation:
Answer:
Answer and explanation
9 ÷ 1/59 × 5/1= 45What is the circumference of a circle with a diameter of 85 feet?
feet
(Use 3.14 for Pi.)
Answers
Answer:
266.9 feet
thats the answer
sana makatulong poww huhu
Step-by-Step Solution:
d = 85 ft
r = 85/2 = 42.5 ft
Circumference = 2πr
Therefore,
= 2πr
= 2 * π * r
= 2 * 3.14 * 42.5
= 6.28 * 42.5
= 266.9
=> Circumference = 266.9 ft
Wood is sometimes sold in planks that are 2 inches high, 4 inches wide, and 6 feet long.
Part A: How many pieces can be cut that are 2 inches high, 4 inches wide and 6 inches long.
Part B: How many pieces can be cut that are 2 inches high, 4 inches wide, and 8 inches long.
Part C: Show your work for Parts A and B
Answers
Answer:
Thus, that plank of would could be cut into 72 pieces that were 2 inches high, 4 inches wide, and 6 inches long.
Step-by-step explanation:
=72
I really really need help
Answers
Answer:
i have no idea
Step-by-step explanation:
If the function graphed is f(x), find f(1). Please hurry its urgent Thank you
A) -4
B) -1/4
C) 0
D) 4
Answers
Given the sequence rn defined recursively below, find r3. r1rn=2=−rn−1+n−2
Answers
Answer:
\(r_3=3\)
Step-by-step explanation:
Given:
\(r_1=2\\r_n=-r_{n-1}+n-2\)
We want to find the value of \(r_3\) .
\(\\r_2=-r_{2-1}+2-2\\r_2=-r_1\\r_2=-2\\\\r_3=-r_{3-1}+3-2\\r_3=-r_{2}+1\\r_3=-(-2)+1\\r_3=2+1\\r_3=3\)
Someone please help!
Write the function h(x) = -5 (x - 1)^2 + 3 in standard form.
Answers
Answer:
\(h(x)=-5x^2+10x-2\)
Step-by-step explanation:
\(h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x)=-5(x^2-2x+1)+3\\\\\implies h(x) = -5x^2+10x-5+3\\\\\implies h(x)=-5x^2+10x-2\)
If Mrs.davis serves each guest 1/6 of a pie what is the greatest number of guests she can serve
Answers
use a calculator and find value of x- 1.5(0.55)^x= 2
Answers
Using a calculatοr οr spreadsheet, we can find that x is apprοximately 3.977 after several iteratiοns.
We can use trial and errοr οr iterative methοd tο find the value οf x.
What is Trial and Errοr Methοd ?Trial and Errοr Methοd is a prοblem-sοlving strategy that invοlves testing variοus sοlutiοns until the cοrrect οne is fοund. It is a simple but time-cοnsuming apprοach that invοlves attempting different sοlutiοns and checking their οutcοmes until the desired result is achieved. This methοd is οften used when there is nο clear οr οbviοus sοlutiοn tο a prοblem, and it requires patience, persistence, and the ability tο learn frοm mistakes.
Trial and Errοr Methοd:
We can substitute different values οf x intο the equatiοn until we get a value that is very clοse tο 2.
Using the calculatοr and by trial and errοr, we can find that x is apprοximately 3.977.
Iterative Methοd:
We can use an iterative methοd tο find the value οf x that satisfies the equatiοn. The iterative fοrmula fοr this prοblem is:
x_{n+1} = lοg\((2 + 1.5(0.55)^{x_n})\) / lοg(0.55)
where x_n is the nth apprοximatiοn οf x.
Starting with x_0 = 3, we can use this fοrmula tο get better and better apprοximatiοns οf x. Using a calculatοr οr spreadsheet, we can find that x is apprοximately 3.977 after several iteratiοns.
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A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.
Answers
The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.
What is the speed of the car in kilometers per hour and distance covered after 5 hours?Speed is simply referred to as distance traveled per unit time.
It is expressed as;
Speed = Distance ÷ time.
Given that the car is traveling at a rate of 30 meters per second.
First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.
1 kilometer = 1000 meters
1 hour = 3600 seconds
Hence;
Speed = 30m/s = ( 30 × 3600/1000 )kmh
Speed = 108 kmh
Next, the distance covered in 5 hours will be:
Speed = Distance / time
Distance = speed × time
Distance = 108 kmh × 5 h
Distance = 540 km
Therefore, the disatnce covered is 540 kilometers.
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linear regression model describing the relationship between the carat weight and price of very high quality diamonds is summarized below.
A diamond seller lists a very high quality diamond weighing 0.8 carats at a price of $10,999. Does this model over- or under-predict the price of this diamond? Select the option below that best summarizes the answer.
A. The model under-predicts the price of this diamond because the residual is positive.
B. The model over-predicts the price of this diamond because the residual is positive.
C. The model over-predicts the price of this diamond because the residual is negative.
D. We do not have enough information to answer this question.
E. The model under-predicts the price of this diamond because the residual is negative.
Answers
Answer:
A. The model under-predicts the price of this diamond because the residual is positive.
Step-by-step explanation:
The diamond seller has listed its 0.8 weighting diamonds at a price of $10,999. The price of the diamond is set as the market maker. The model is used to predict the price of the diamonds. This model has under predicted the value of diamonds and actual price of diamonds must be higher.
a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?
Answers
Answer:
The question can be explained using the image below
The given coordinates are
\(\begin{gathered} A\left(-4,6\right)\Rightarrow\left(x_1,y_1\right) \\ C\left(3,5\right)\Rightarrow\left(x,y\right) \\ B\left(x_2,y_2\right)\Rightarrow \end{gathered}\)The center is the midpoint of Diameter AB, therefore, we will use the formula for the midpoint of a line given below as
\(\left(x,y\right)\Rightarrow\frac{\left(x_1+x_2\right)}{2},\frac{\left(y_1+y_2\right)}{2}\)By substituting the values, we will have
\(\begin{gathered} (x,y)\operatorname{\Rightarrow}\frac{(x_{1}+x_{2})}{2}, \frac{(y_{1}+y_{2})}{2} \\ \left(3,5\right)\Rightarrow\frac{\left(-4+x_2\right)}{2},\frac{\left(6+y_2\right)}{2} \end{gathered}\)By equating both equations, we will have
\(\begin{gathered} \frac{(-4+x_{2})}{2}=3 \\ -4+x_2=2\times3 \\ -4+x_2=6 \\ x_2=6+4 \\ x_2=10 \end{gathered}\)\(\begin{gathered} \frac{(6+y_{2})}{2}=5 \\ 6+y_2=2\times5 \\ 6+y_2=10 \\ y_2=10-6 \\ y_2=4 \end{gathered}\)Hence,
The coordinate of B is
\(\Rightarrow\left(10,4\right)\)
Can someone help me asap
Answers
To solve the pair of equations graphically: A. find the point of intersection of the two lines, y = -3x + 5 has a slope of -3, and y-intercept of 5, and y = x + 2 has a slope of 1, and y-intercept of 2.
How to Solve a System of Equations By Graphing?To solve for the pair of equations graphically, you have to plot each of the line of each equation on a coordinate plane, then find the coordinates of the point where both lines intersect each other.
The point of intersection is the solution to the system of equations that both lines represent.
Given the equations:
y = -3x + 5 --> eqn. 1
y = x + 2 --> eqn. 2
The slope of the line of y = -3x + 5 is -3, while the y-intercept is 5.
The slope of the line of y = x + 2 is 1, while the y-intercept is 2.
Thus, the red line in the image is the graph of y = -3x + 5, while the blue is for y = x + 2.
The point of intersection, which is the solution is: (075, 2.75).
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If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false 
Answers
The inverse statement is false.
The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.For such more questions on inverse
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A circle has an area of approximately 907.46 ft². What is the length of
its radius?
Use 3.14 for π and provide an answer accurate to the nearest
hundredth.
Answers
The length of the radius of the given circle will be 16.97 feet.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
A circle has an area of approximately 907.46 ft². Then the length of the radius of the circle is given as,
A = πr²
904.46 = 3.14 x r²
r² = 288
r = 16.97 feet
The length of the radius of the given circle will be 16.97 feet.
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The product of two numbers is 1536.
If the HCF of the two numbers is 16.
find the LCM of these two numbers.
Answers
Work Shown:
LCM = (product of two numbers)/(HCF of the two numbers)
LCM = 1536/16
LCM = 96
Find what percent 768 is of 3,200.
Answers
Answer:
3200 of 768 is 416.67%
Step-by-step explanation:
There's your answer hope this helps.
X% ————— 768
X= 24%
which equation represents a liner function?
Answers
How to convert between this equation: 15x + 5y = 25 from Standard Form to Slope-Intercept Form?
Answers
hey buddy,
●15x + 5y = 25
5y = 25-15x
y = (25 - 15x) /5
y = 5 - 3x
Determine the median of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16, 18, 21
Answers
Order the numbers from least to greatest
Since median means middle mark off a number on each side until there is one left. That will be your answer
If it is an even amount of numbers than take the middle two numbers and find the average (mean)
To do so add the numbers and divide by two
Answer:
The median of the following numbers is 14
Step-by-step explanation:
I'll send u the graph
Answers
Answer:
9
Step-by-step explanation:
2x3=6
3x3=9
Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%. Select all the true statements. The proportion that represents the down payment is 20100=125,000 20 100 = 125 , 000 x . The down payment is $25,000. The proportion that represents the down payment is 20100=125,000 20 100 = x 125 , 000 . The down payment is $50,000. The down payment is 15 1 5 of the cost of the house.
Answers
The correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000What is down payment?When something is bought on credit, an initial payment is made in the form of a down payment.
Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.
We can calculate the amount she is putting in down payment as -
{x} = 20% of 125000
{x} = 20/100 x 125000
{x} = 20 x 1250
{x} = 25000
Therefore, the correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000To solve more questions on functions & equations, visit the link-
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If c(x) = 2x^2 - 4x + 3 and d(x) = -x^3 + x + 1 find c(3a)
Answers
Answer:
c(3a) = 2(3a)^2 - 4(3a) + 3 = 18a^2 - 12a + 3.
Step-by-step explanation:
c(3a) = 18a^2 - 12a + 3
Note: this is the simplified form of the expression.
decimal division 26 / 8 compared to 14 / 4
Answers
14/4 can be expressed as follows:
\(\frac{14}{4}=\frac{14}{4}\cdot\frac{2}{2}=\frac{14\cdot2}{4\cdot2}=\frac{28}{8}\)Given that 28/8 is greater than 26/8, then 14/4 > 26/8
