Answer:
(-1,3)
Step-by-step explanation:
Elimination makes solving for the system of equations much easier if it is the faster route. In this case, it is already done for you, and no multiplication is required.
First, we want to eliminate the x values completely because they are opposites and therefore cancel out. Next, you want to add the y-values and sum (20 and 10) so that you get the new equation [tex]10y=30[/tex]. To isolate you need to divide by 10 on each side which will give you [tex]y=3[/tex].
Now that you have your y-value, you can plug in your value to either of the equations and find what x is. I will use the equation 4x + 8y = 20 to solve for x. We first want to substitute in our y-value so that we get [tex]4x+8(3)=20[/tex] which is simplified to [tex]4x+24=20[/tex] now subtract by 24 on both sides to get 4x by itself to get [tex]4x=-4[/tex]. Lastly, isolate x by dividing by 4 on each side to get [tex]x=-1[/tex]
Whats (2^–1)^3 with the same base but one exponent??
Step-by-step explanation:
[tex] ({2}^{ - 1} )^{3} [/tex]
[tex] {2}^{ - 3} [/tex]
........
Answer:
2^-3
Step-by-step explanation:
When multiplying two exponents with the same base, we basically add the exponents.
What does “is” mean in math
Answer:
Multiplication
I hope this helps!
How much work is required to lift a 2.90 kg object from the bottom of a well 8.7 m deep?
Answer:
THE ANSWER IS YOU CAN DO IT BECAUSE YOUR SMART!!!!!
Step-by-step explanation:
What is the measure of ZA degrees?
Answer:
Since this is an isosceles triangle, the angles opposite to the equal sides will also be equal
Therefore,
angle ABC = angle ACB
We are given that angle ACB is 30 degrees
Hence, angle ABC = 30 degrees
We know that according to the angle sum property, the sum of all interior angles of a triangle is 180 degrees
So, angle ABC + angle ACB + angle CAB = 180 degrees
replacing the variables with values we already know
30 + 30 + angle CAB = 180
angle CAB = 180 - 60
angle CAB = 120 degrees
Hence the measure of angle A is 120 degrees
Do the ordered pairs represent a function? {(1,3),(4,12),(5,15),(6,18)}
No (two y-values for one x-value)
Yes (one y-value for each x-value)
Yes (two y-values for one x-value)
No (one y-value for each x-value)
Answer:
I GUESS ITS NO(TWO VALUES FOR ONE X VALUE) I DONT KNOW IF ITS CORRECT IM JUST GUESSING
Step-by-step explanation:
The Parker family went to the carnival. When everyone was ready for lunch, Dad bought 4 drinks for $3.25 and 4 hot dog plates with chips for $8.00. He also used a coupon for $2.00 off the price of lunch. How much did Dad pay for lunch altogether?
Write the equation of the line with the given point and slope.
(-5, -3); slope = -3/5
A line in point slope form is y = mx + b
m = the slope
b = y-intercept
So far our line looks like: y = -3/5x + b
Let's plug -5 into x and -3 into y to solve for b
-3 = -3/5(-5) + b
Let's multiply -5 by -3/5
-3 = 3 + b
Subtract 3 from both sides.
-6 = b
Our line is: y = -3/5x - 6
In a casino in Atlantic City, there are two slot machines: one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20 % of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random and put a coin into it. Given that you lose that first bet estimate the probability that the machine you selected is the more generous of the two machines.
1. What do I know?
2. What do I want to find out?
3. What do I expect the answer to be?
4. How do I go from what I know to what I want to find?
5. Is the answer consistent with what I expected?
Answer:
probability = 0.5294
1) what i know is that there are two machines
2) the probability of choosing a machine that pays 20% of the time
3) expected answer = 0.5294 = 52.94%
4) buy making some assumptions while making the calculations
5) yes
Step-by-step explanation:
Given data:
Number of machines = 2
Assuming probability of machine 2 = 20% = 0.20
Assuming probability of machine 1 = 10% = 0.10
since both machines have the ability to be generous i.e. pay 20% all the time
P( machine 1 is generous ) = P( machine 2 is generous ) = 0.5
this is since there are only two machines
hence find the probability that the chosen machine ( machine 1 ) is the generous machine after the player losses its first bet
P ( Machine 1 is generous | first bet lost )
= [tex]\frac{P( machine 1 is generous n lost) }{p(lost)}[/tex] = [tex]\frac{(1-p(pays|machine 1 is generous))*p(machine 1 is generous)}{[((1-0.10)*0.5)+ ((1-0.20)*0.5)]}[/tex]
= [tex]\frac{(1-0.10)*0.5}{0.85}[/tex] = 0.5294
This the probability that Machine 1 is generous after the player losses the first bet
1) what i know is that there are two machines
2) the probability of choosing a machine that pays 20% of the time
3) expected answer = 0.5294 = 52.94%
4) buy making some assumptions while making the calculations
5) yes
Paige bought a handbag for $49.75. Nevaeh spent 2.5 times more on her handbag, while Naomi spent 3.5 times more than Paige on her handbag. How much total money was spent on the three handbags?
Answer:
Total money: $348.26
Step-by-step explanation:
Paige: $49.75
Nevaeh: 2.5*$49.75
Naomi: 3.5*$49.75
2.5*49.75 = 124.38
3.5*49.75 = 174.13
(I rounded the cents up.)
124.38
174.13
+49.75
$348.26
Hope this helps!! Have an awesome day C:
Prime number between 60 and 80 with the 10’s digit being one less than the 1st digit
It would be 89.
You can also just look up a list of prime numbers online.
your soccer team isn’t holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction, 1) a tablet costs $280 2) football tickets that cost $100 3) a gift card that cost $20 4) the cost of the food is $400. The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of food and prizes and food. Part a determine the cost per ticket. Part B build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build a function. Part C your soccer team needs to raise at least $300 more than the total cost of the expenses. What is the minimum number of tickets that must to be sold in order for your team to reach their goal? Use the mathematics to justify your response.
Answer:
i will not give you the exact answer but i will tell you how to get the answer you need to add all the costs of everything and divide it by the number of tickets and that is how you get profit
Step-by-step explanation:
Help!!!!!!!! I will give 10 points!
18:
multiply both sides
move the constants to the right
calculate
I added a picture if you need it. I hope this helps
Solve for b.
ab +c=d
Answer:
[tex]ab + c = d \\ ab = d - c \\ b = \frac{d - c}{a} [/tex]
(x+4)(x-5)+(x+4)(x-2)
Answer:
(x+4)⋅(2x−7)
Step-by-step explanation:
Combine the like terms.
Which system of equations is equivalent to the following system?
4x + y = 4
2x + 7y = 28
Answer:
the third one
-28x-7y=-28
2x+7y=28
Step-by-step explanation:
for the first one, the 2x+7y=28 is being multiplied by -1, but its not being distributed correctly (28 is incorrect, it should be -28)
for the second one, the 2x+7y=28 is being multiplied by -4, but again, is not being distributed correctly (112 is incorrect, it should be -112)
for the fourth one, 4x+y=4 is being multiplied by -2, but its not being distributed correctly (8 is incorrect, it should be -8)
The system of equations equivalent to the given system is -28x -7y = -28, 2x + 7y = 28, the correct option is C.
What is System of Equation?The system of equation is set of equations which have a common solution.
The system of equation is,
4x +y = 4
2x +7y =28
The equations can be solved using Substitution method, elimination method and by plotting the graph.
In substitution method, the value of one variable from an equation is substituted in the other equation.
4x +y = 4
y = 4 - 4x
This will be substituted in the equation 2
2x + 7 (4-4x) = 28
2x +28 - 28x = 28
-26x = 0
x = 0
Putting this value in equation 1 , y = 4.
In elimination method, one of the variable is eliminated to solve the system of equation.
To eliminate y, the equation 1 will be multiplied by -7,
-28x -7y = -28
2x + 7y = 28
This is equivalent to the original system of equation.
Adding the equations will yield
-26x = 0
x = 0
y = 4.
To know more about System of Equations
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NEED HELP GIVING 20 POINTS
Answer:
-5
Step-by-step explanation:
Just substitute the values and use a calculator to solve.
Kalib rented a car for 5 days while on vacation in Miami. His total bill was $279. How much
the rental car cost him each day?
Answer:
he would pay 55.8 dollars each day for 5 days
Step-by-step explanation:
4. Write two different ways you can find 125% of 8.
Answer: METHOD 1 Determine the part by multiplying the percent and the whole:METHOD 2 Determine 25% of 8:
125\% \times 8=1.25\times 8=10
125%×8=1.25×8=10
Step-by-step explanation:
What is the greatest common factor of 21, 35, and 49?
Answer:
GCF = 7
hope this helps
Answer:
:)
Step-by-step explanation:
21 = 3 • 7, 35 = 5 • 7, 49 = 72
go add the snap carmel.bratz
Which expression is equivalent to Sine (StartFraction pi Over 12 EndFraction) cosine (StartFraction 7 pi Over 12 EndFraction) minus cosine (StartFraction pi Over 12 EndFraction) sine (StartFraction 7 pi Over 12 EndFraction)?
Answer:
EndRoot Over 2 EndFraction
StartFraction pi Over 6 EndFraction, StartFraction StartRoot 3 EndRoot Over 2 EndFraction
On using the trigonometric identity sin(x-y) = sin(x)cos(y) - cos(x)sin(y), we calculate that [tex]sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) =sin(\frac{-\pi }{2} )[/tex].
What are trigonometric identities?Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain.
[tex]=sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) \\\\=sin(\frac{\pi }{12} -\frac{7\pi }{12})\\ \\ =sin(\frac{-\pi }{2} )[/tex]
Learn more about trigonometric identities here
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Over a nine-month period, OutdoorGearLab tested hardshell jackets designed for ice climbing, mountaineering, and backpacking. Based on the breathability, durability, ver-satility, features, mobility, and weight of each jacket, an overall rating ranging from 0 (lowest) to 100 (highest) was assigned to each jacket tested. The following data show the results for 20 top-of-the line jackets (OutdoorGearLab website, February 27, 2013).
42 66 67 71 78 62 61 76 71 67
61 64 61 54 83 63 68 69 81 53
a. Compute the mean, median, and mode.
b. Compute the first and third quartiles.
c. Compute and interpret the 90th percentile.
Answer:
(a) The mean is 65.9, the median is, 66.5 and the mode is. 61.
(b) The first and third quartiles are 61 and 71 respectively.
(c) The value of the 90th percentile is, 78.3.
Step-by-step explanation:
The ratings of 20 top-of-the line jackets, arranged in ascending order are as follows:
S = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66 , 67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}
(a)
Compute the mean as follows:
[tex]\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}=\frac{1}{20}\times 1318=65.9[/tex]
Compute the median as follows:
For an even number of values the median is the average of the middle two values.
[tex]M=\frac{10^{th}obs.+11^{th}obs.}{2}=\frac{66+67}{2}=66.5[/tex]
Compute the mode as follows:
The mode of a dataset is the term that occurs most of the time.
[tex]m=61[/tex]
Thus, the mean is 65.9, the median is, 66.5 and the mode is. 61.
(b)
The first quartile is the median of the first half of the data set.
S₁ = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66}
[tex]Q_{1}=\text{Median of }S_{1}=\frac{5^{th}obs.+6^{th}obs.}{2}=\frac{61+61}{2}=61[/tex]
The third quartile is the median of the second half of the data set.
S₂ = {67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}
[tex]Q_{3}=\text{Median of }S_{2}=\frac{15^{th}obs.+16^{th}obs.}{2}=\frac{71+71}{2}=71[/tex]
Thus, the first and third quartiles are 61 and 71 respectively.
(c)
The pth percentile is a data value such that at least p% of the data set is less-than or equal to this data value and at least (100 - p)% of the data-set are more-than or equal to this data value.
Use the Excel formula "=PERCENTILE.INC(array,0.9)" to compute the 90th percentile.
The value of the 90th percentile is, 78.3.
This value implies that 90% of the ratings are less than 78.3.
1 point
3. A bus driver stops at a gas station to put some gasoline in the bus. He
pays $2.48 per gallon for 15 gallons of gas. How much did he pay for the
gas?
Simplify. 27x15y24−−−−−−−√3
Answer:
I also believe the answer is 3x^5 y^8
Step-by-step explanation:
The expression ∛(27 x¹⁵ y²⁴) in the simplified form will be 3 x⁵ y⁸.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ ∛(27 x¹⁵ y²⁴)
Simplify the expression, then we have
⇒ ∛[3³ (x⁵)³ (y⁸)³]
⇒ ∛(3 x⁵ y⁸)³
⇒ 3 x⁵ y⁸
The expression ∛(27 x¹⁵ y²⁴) in the simplified form will be 3 x⁵ y⁸.
More about the Algebra link is given below.
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After taking your Freshman English class, you notice there is quite a difference between the students in the classes related to your Business major and your general education requirements. You believe it comes down to a difference in verbal and math abilities. You are interested in seeing how your English classmates performed on two parts of the SAT. You randomly collect data from 28 students on their Math SAT score (population
1), and randomly select another 25 students and collect data on their Verbal SAT score (population
2). After entering the data into Excel you obtain the following output: t-Test: Two-Sample Assuming Unequal Variances Q=0.05 Math SAT Verbal SAT Mean 668. 7604 701.888 Variance 3826.406 6944.827 Observations 28 25 Hypothesized Mean Difference 0 df 44 t Stat P(T<=t) one-tail t Critical one-tail 1.68 P(T<=t) two-tail t Critical two-tail 2.01 What is the value of the test statistic to test if math and verbal scores differ in the SAT exam?
a. -1.479
b. There is not enough information to answer this question
C. -1.627
d. 30.116
e. 30.116
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The sample size for Math SAT is [tex]n_1 = 28[/tex]
The sample size for Verbal SAT is [tex]n_2 = 25[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\mu_1 - \mu_2}{ \sqrt{\frac{\sigma^2_1 }{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]
substituting 668. 7604 for [tex] \mu_1[/tex] , 701.888 for [tex] \mu_2[/tex], 3826.406 for [tex] \sigma_1^2[/tex] , 6944.827 for [tex]\sigma_2^2[/tex]
So
[tex]t = \frac{668.7604 - 701.888}{ \sqrt{\frac{3826.406}{28} + \frac{6944.827}{25} } }[/tex]
=> [tex]t = 1.627[/tex]
Jasmine paid $64.50 for a bracelet, after tax, and the tax rate is 7.5%. What was the original price of the bracelet?
Answer:
About $59.66
Step-by-step explanation:
To find the amount of tax was paid, multiply 64.50 by 0.075 (because 0.075 = 7.5%). This would be 4.8375, which when rounded is 4.84. You subtract 64.50 by 4.84 to get 59.66, but because I rounded, it is about $59.66.
Answer:
60
Step-by-step explanation:
First, change the percentage to a decimal and write the equivalence of the sales tax amount. Let x be the original cost of the item.
Sales tax amount =x⋅0.075
Next, substitute the value into the equation:
Original Cost + Sales Tax Amount = Total Cost
x+0.075x=64.50
Add like terms.
1.075x=64.50
Divide both sides by 1.075 to isolate the unknown value.
x=$60
M
(
x
)
=
log
(
x
0.001
)
M
(
x
)
=
log
(
x
0.001
)
Answer:
0
Step-by-step explanation:
How much is 2/3 - 1/6 =
Answer:
1/2
Step-by-step explanation:
First create like dominators
2/3 -1/6 = 4/6 - 1/6
simplify using subtraction
4/6 - 1/6 = 3/6
Simplify the answer
3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
2/3 - 1/6
Subtract the two fractions:
2/3 - 1/6 = 1/2
The answer we get is:
1/2
Divide the numerator by the denominator for the decimal form:
1 ÷ 2 = 0.5
0.5 is our decimal form.
1/2 and 0.5 are our answers.
Hope you learned from this answer!
Solve for n. 8^ 12÷8^3=8^n
Answer:
9[tex]\frac{8^{12}}{8^3}=8^n\quad :\quad n=9[/tex]
Step-by-step explanation:
A line has slope 3 and y-intercept 4.
Which answer is the equation of the line?
O y = 3x + 4
Oy= 3x -4.
O y= 3/4x-4
O y = 4x + 3
Answer:
y = 3x +4
Step-by-step explanation:
In slope-intercept form, the equation of a line is ...
y = mx + b
Where m is the slope (3) and b is the y-intercept (4).
Putting the given numbers in the equation, it becomes ...
y = 3x +4
What is the weight of Jim's dog? Jim's dog is
lbs *
1 pc
16.23 lb
Weight of John's Dog
Weight of Jim's Dog
?
?
Answer:
See Explanation
Step-by-step explanation:
See attachment for complete question:
Our word problem could.
The relationship between weight of Jim's dog and John's dog is shown below.
a. Calculate the weight of John's dog?
b. Calculate the difference in weight of both dogs?
Solution:
a. Weight of John's Dog
Given
Represent John's dog with J and Jim's dog with D
[tex]J = 16.23\ lb[/tex]
From the attachment, we can see that.
[tex]D = \frac{1}{3} * J[/tex]
[tex]D = \frac{1}{3}J[/tex]
To solve for D, substitute 16.23 for J
[tex]D = \frac{1}{3} * 16.23[/tex]
[tex]D = 5.41[/tex]
Hence: Jim's Dog is 5.41lb
b. Difference in Weight
Difference is calculated as thus:
[tex]Difference = J - D[/tex]
[tex]Difference = 16.23 - 5.41[/tex]
[tex]Difference = 10.82[/tex]
