Answer:
x = 0
Step-by-step explanation:
2x−6=3x+1−2x−7
Step 1: Simplify both sides of the equation.
2x−6=3x+1−2x−7
2x+−6=3x+1+−2x+−7
2x−6=(3x+−2x)+(1+−7)(Here we Combine Like Terms)
2x−6=x+−6
2x−6=x−6
Step 2: Subtract x from both sides.
2x−6−x=x−6−x
x−6=−6
Step 3: Add 6 to both sides.
x−6+6=−6+6
x=0
Please need help thank you
Answer:
People drank 75 cups, First find the amount of juice that Mrs. Jackson bought .Then subtract the 3 cups of juice that were left over
5 x 16=80
80-3= 77
Whats the product of 6/9 and 3/8 in simplest form
The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485. For each decrease in unit price of $20 below $485, the quantity demanded increases by 250 units. The suppliers will not market any DVD players if the unit price is $350 or lower. But at a unit price of $525, they are willing to make available 2500 units in the market. The supply equation is also known to be linear. (a) Find the demand equation. p(x) = (b) Find the supply equation. p(x) = (c) Find the equilibrium quantity and the equilibrium price. PLEASE help I am totally lost on this
Answer:
a) Demand equation :[tex]y=-\frac{2}{25}x+725[/tex]
b) Supply equation : [tex]y=\frac{7}{100}x+350[/tex]
C) The equilibrium quantity and the equilibrium price are 2500 and $ 525 respectively
Step-by-step explanation:
We are given that For each decrease in unit price of $20 below $485, the quantity demanded increases by 250 units.
Since decrease in unit price of $20 increase demand by 250 units
So, Slope =[tex]\frac{-20}{250}=\frac{-2}{25}[/tex]
We are given that The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485.
Now for demand equation:
Use point slope form : [tex]y-y_1=m(x-x_1)[/tex]
So, [tex]y-485=\frac{-2}{25}(x-3000)\\y=-\frac{2}{25}x+725[/tex]
a)So, Demand equation : [tex]y=-\frac{2}{25}x+725[/tex]
Now to find supply equation
We have two points (0,350) and (2500,525)
[tex](x_1,y_1)=(0,350)\\(x_2,y_2)=(2500,525)\\y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-350=\frac{525-350}{2500-0}(x-0)\\y-350=\frac{7}{100}x\\y=\frac{7}{100}x+350[/tex]
b) So, Supply equation : [tex]y=\frac{7}{100}x+350[/tex]
Now to find equilibrium quantity and price equate demand and supply equation
[tex]-\frac{2}{25}x+725=\frac{7}{100}x+350\\725-350=\frac{7}{100}x+\frac{2}{25}x\\x=2500[/tex]
So, equilibrium quantity = 2500
To find equilibrium price substitute equilibrium quantity in any equation
[tex]y=\frac{7}{100}x+350\\y=\frac{7}{100}(2500)+350\\y=525[/tex]
C) The equilibrium quantity and the equilibrium price are 2500 and $ 525 respectively
Write a percent between 25% and 50%.
Then write it as a decimal and as a fraction in simplest form.
Percent - 24%
Decimal - 0.24
Fraction - 24/100=6/25
Write an
equivalent unit rate
to selling 15
cookies in 1/8 of an
hour.
Answer:
y=1/8x + 15
Step-by-step explanation:
y=1/8x+15 because 1/8 hours and add 15
Simplify (3p^2)5
Please i need the answer asap
Answer:
15p^2. Hope this helps
Step-by-step explanation:
If 8 tennis balls cost $24, how much do 12 tennis balls cost?
Answer:
36
Step-by-step explanation:
half of 8 is 4 so half of 24 is 12 and 12 plus 24 is 36
Answer:
$36
Step-by-step explanation:
First divide the $24 to find how much each tennis ball costs.
24 / 8 = 3
Then multiply 3 (the cost per tennis ball) by 12 (the amount of tennis balls)
3 x 12 = 36
36 is your answer
A coffee manufacturer is interested in the mean daily consumpiton of regular-coffee drinkers and decaffeinated-coffee drinkers. A random sample of 50 regular-coffee drinkers showed a mean of 3.84 cups per day. A sample of 40 decaffeinated-coffee drinkers shoed a mean of 3.35 cups per day. The sample stnadard deviation for those drinking regular coffee is 1.20 cups per day an 1.36 cups per day for those drinking decaffeinated coffee. Assume the population standard deviations are euql. At the 5% significance level, is the mean daily consumption of reglar-coffee drinkers greater than that of decaffeinated-cofee? Find the p-value for this hypothesis test.
Answer:
The decision rule is
Reject the null hypothesis
The conclusion
There is sufficient evidence to conclude that mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee.
The p-value is [tex]p-value = 0.03682 [/tex]
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_ 1 = 50[/tex]
The first sample mean is [tex]\=x_1 = 3.84[/tex]
The first sample standard deviation is [tex]s_1 = 1.26[/tex]
The second sample size is [tex]n_2 = 40[/tex]
The second sample mean is [tex]\=x_2 = 3.35 [/tex]
The second sample standard deviation is [tex]s_2 = 1.36[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 > \mu_2[/tex]
Generally the test hypothesis is mathematically represented as
[tex]t = \frac{( \= x_1 - \= x_2 ) - 0}{ \sqrt{ \frac{s^2_1 }{n_1} + \frac{s^2_2}{n_2} } }[/tex]
=> [tex]t = \frac{( 3.84 - 3.35 ) - 0}{ \sqrt{ \frac{1.26^2 }{50} + \frac{1.36^2}{40} } }[/tex]
=> [tex] t = 1.789 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(t > 1.789)[/tex]
From the z table
[tex]\Phi (1.789) = 0.03682[/tex]
So
[tex]p-value = P(t > 1.789) = 0.03682 [/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion
There is sufficient evidence to conclude that mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee
Evaluate using the order of operation, please help me
Answer:
[tex]\frac{7}{9}[/tex]Step-by-step explanation:
[tex]1-\frac{4}{2\cdot \:7+4}\\\\\frac{4}{2\cdot \:7+4} = \frac{2}{9} \\\\=1-\frac{2}{9}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot\:9}{9}\\\\=\frac{1\cdot \:9}{9}-\frac{2}{9}\\\\Since\:the\:denominators\:are\:equal,\\\:combine\:the\:fractions}:\\\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{1\cdot \:9-2}{9}\\\\1\cdot \:9-2 =7\\\\=\frac{7}{9}[/tex]
Plzzzzzz help right answer gets brainly
The line shown represents the amount of money left on a gift card, y, after Mina buys lattes. After buying 2 lattes, she has $2 left. What is an equation of the line in point- slope form?
Answer:
[tex] y - 2 = -3(x - 2) [/tex]
Step-by-step explanation:
Given that after she buys 2 lattes, she has $2 left, this represents a point on the line in the graph, which is (2, 2).
Point-slope form of equation for a line is given as [tex] y - b = m(x - a) [/tex]. Where,
(a, b) = a point on the line
m = slope
The equation of the line in point-slope form is given by the formula, [tex] y - b = m(x - a) [/tex], where,
(a, b) = coordinates of a point on the line.
[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
We already have values for (a, b) = (2, 2), let's find the slope (m).
Using (2, 2) and any point on the line, such as (0, 8), we can find the slope as follows:
[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 2}{0 - 2} [/tex]
[tex] = \frac{6}{-2} [/tex]
[tex] m = -3 [/tex]
Now we know that a = 2, b = 2 , and m = -3. Let's plug in this values into the point-slope equation as shown below:
[tex] y - b = m(x - a) [/tex]
[tex] y - 2 = -3(x - 2) [/tex]
graph the equation y = 4x -2.
I have attached the graph
Billy worked 68 hours this week at his job. He worked 4 hours less than 3 times
the hours he worked last week "w". What expression can be used to solve this
problem?
Answer:
3w-4 = 68
Hope this helped!
Graph two lines whose solution is (1,4)
Answer:
(1,4) and (0,-1)
8+a=21 plssssssssssssszzzz
Answer:
13
Step-by-step explanation:
because a is the missing number. Well, 21 minus or - 8 is equal to 13.
Find the slope of the line
Answer: m = -3/2
Step-by-step explanation: In algebra, we use the word slope
to describe how steep a line is and slope can be found using
the ratio rise/run between any two points that are on that line.
Let's start from the point (0, 0).
From this point, we go down 3 units and to the right 2 units.
So our rise is -3 and our run is 2.
So our slope or rise/run is -3/2.
The variable that's used to represent slope is m.
So we say that m = -3/2
Answer:
-3/2
Step-by-step explanation: Rise 3 from the first (lower) dot then run 2 to the higher dot. Its negative because it is going down from left to right.
Can you explain how to divid fractions so I can help my daughter.
3/8 ÷ 2/3=
Answer: 9/16
Explanation: When dividing by a fraction, we can change
the division sign to multiplication and flip the second fraction.
So 3/8 ÷ 2/3 means the same thing as 3/8 · 3/2.
So when dividing by a fraction, we can just multiply
by the reciprocal of that fraction or that fraction flipped.
Now multiplying across the numerators and denominators, we have 9/16.
Since 9/16 is in lowest-terms, it's or final answer.
Find the product of (x-13)(x+3)
[tex](x - 13)(x + 3) \\ = x {}^{2} + 3x - 13x - 39 \\ = x {}^{2} - 10x - 39 [/tex]
Work out an equation of the straight line with gradient 3 that passes through the point with coordinates (2, 4).
Answer:
The answer is
[tex] \huge \boxed{y = 3x - 10}[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (2, 4) and the slope is 3
The equation of the line is
[tex]y - 4 = 3(x - 2) \\ y + 4 = 3x - 6 \\ y = 3x - 6 - 4[/tex]
We have the final answer as
[tex]y = 3x - 10[/tex]
Hope this helps you
If Steve paid back $7,945 on a $7000 simple interest loan after 3
years. What was the interest rate?
Answer:
interest rate= 4.5%
Step-by-step explanation:
steve paid back=7945
loan------------------7000
total interest for 3 years=945
for one year-----------------=315
rate of interest= (315 X 100)/7000= 4.5%
Determine by inspection whether the vectors are linearly independent. Justify your answer. [ 8 [ 12 -6 -9 4] 6]A. The set of vectors is linearly independent because nothing times the first vector is equal to the second vector. (Type an integer or a simplified fraction.) B. The set of vectors is linearly dependent because nothing times the first vector is equal to the third vector. (Type an integer or a simplified fraction.) C. The set of vectors is linearly dependent because one of the vectors is the zero vector. D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors.
✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅
Option C is correct, the set of vectors is linearly dependent because one of the vectors is the zero vector.
What is Matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.
To determine if the set of vectors is linearly independent, we need to check if any of the vectors can be expressed as a linear combination of the others.
Let's consider the first vector [8 -6 4].
If we try to express this vector as a linear combination of the other vectors, we get:
[8 -6 4] = a[12 -9 6] + b[0 0 0]
where a and b are constants.
We can immediately see that this equation has infinite solutions, because the third component of the second vector is zero, which means we can choose any value for b and still satisfy the equation.
Therefore, the set of vectors is linearly dependent.
Hence, Option C is correct, the set of vectors is linearly dependent because one of the vectors is the zero vector.
To learn more on Matrices click:
https://brainly.com/question/28180105
#SPJ6
Determine by inspection whether the vectors are linearly independent. Justify your answer.
[8 -6 4][12 -9 6]
A. The set of vectors is linearly independent because nothing times the first vector is equal to the second vector. (Type an integer or a simplified fraction.)
B. The set of vectors is linearly dependent because nothing times the first vector is equal to the third vector. (Type an integer or a simplified fraction.)
C. The set of vectors is linearly dependent because one of the vectors is the zero vector.
D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors.
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Find the distance between the pair of points. (2,-5) and (7,7)
Answer:
5,12
Step-by-step explanation:
because 7-2 is 5 and it would take 12 to get to 7
I have a picture I really need help with math please someone
Step-by-step explanation:
6 goes in ones or the green
3 goes in tenths or the yellow
2 goes in hundreths or the purple
4 goes in thousands or the orange
Answer: 6 goes in the ones then the 3 goes tenths 2 in hundredths and 4 in the thousands
eight hundredths six tens three ones decimal one tenths four hundredths one thousand
Step-by-step explanation:
A_________is the2 points at which line segments are connected on a polygon.
Answer:
Vertex
Step-by-step explanation:
I think
HELP GIVING BRAINLIEST AND A BUNCH OF POINTS
Answer:
my name is keff 4
Step-by-step explanation:
what s 1 times 1 is it 2?
Answer:
1 x 1 = 1
Step-by-step explanation:
Anything that is multiplied by 1, is going to stay the same
Example would be 1 x 5
that would equal 5
Hope this helped<3
Answer:
it is one, no matter what
Step-by-step explanation: if u take on and make it bigger (multiply it) one time, u still only get one!!
Brainliest please!! Have a great day!!
The Andersons rented 5 rectangular tables for $35 and 30 chairs for $60. Which quotients can be used to calculate the unit cost for tables and the unit cost for chairs? Check all that apply.
StartFraction 5 Over 35 EndFraction
StartFraction 35 Over 5 EndFraction
StartFraction 60 Over 30 EndFraction
StartFraction 30 Over 60 EndFraction
Answer:
35/5 and 60/30
Step-by-step explaning
i got it right on enginuity
Answer:
35/5 and 60/30
(2x + 3) (x² + x - 2)
Answer:
(2x + 3) • (x + 2) • (x - 1)
Step-by-step explanation:
1A. We draw five cards at random with replacement, keeping track of whether or not each card in the sequence is a club. Find the probability of the following sequence: Club, Not Club, Club, Not Club, Not Club, i.e. CNCNN.
B. Notice that all sequences of 5 cards with exactly two clubs have the same probability. Based on this fact and your result in a), find the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck.
Answer:
135/512
Step-by-step explanation:
In a deck of card, there are 13clubs.
A deck of card contains 52cards
Total clubs = 13cards
Probability of selecting a club and replacing is expressed as P(C) = total number of clubs/total card
P(C) = 13/52 = 1/4
q = 1-p
q = 1-1/4
q =3/4
Let X be probability function used is a binomial distribution formula expressed as:
Since 5cards is drawn at random, n = 5
P(X = x) = nCx q^(n-x)p^x
P(X = x) = 5Cx 3/4^(5-x)•(1/4)^x
The probability of the sequence is expressed as:
P(X = x) = 5Cx 3/4^(5-x)•(1/4)^x
x is the number of clubs present
b) To find the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck, we will substitute x = 2 into the probability function in (a) a shown;
P(X = 2) = 5C2•3/4^(5-2)•(1/4)^2
P(X = 2) = 5C2•3/4^(3)•(1/4)^2
P(X = 2) = 5C2•27/64•(1/16)
P(X = 2) = 5C2•27/1024
P(X = 2) = 5!/(5-2)!2!•27/1024
P(X = 2) = 5!/3!2!•9/1024
P(X = 2) = 5×4×3!/3!2•27/1024
P(X = 2) = 5×4/2•27/1024
P(X = 2) = 10•27/1024
P(X = 2) = 135/512
Hence the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck is 135/512