Answers
Answer:
1. 43, 45, and 47
2. 50, 52, and 54
3. 47 years old
4. 106 degrees
5. 66 degrees
Step-by-step explanation:
1. Let's assume that the first number in the three consecutive odd numbers is x.
We can write an equation to express this now. [tex]x + (x+2) = (x+4) + 41[/tex].
Combining like terms, we get [tex]2x+2 = x+45[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 43[/tex]. Since the smallest number is 43, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 43, 45, and 47.
2. Let's assume that the first number in the three consecutive even integers is x.
We can write an equation to express this now. [tex]x + (x+2) = (x+4)+48[/tex]
Combining like terms, we get [tex]2x+2 = x+52[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 50[/tex]. Since the smallest number is 50, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 50, 52, and 54
3. We can write his current age in years as x. Next year, his age will be x+1. We know that the sum of his current age and his age next year is 73, so we can write an equation to express this.
[tex]x + (x+1) = 73[/tex]. Therefore, 2x + 1 = 73, or 2x = 72. This means that x = 36, or his current age is 36. In 11 years, his age will be 36 + 11 = 47 years old.
4. [tex](21x+1) + (14x+4) = 180[/tex]. Combining like terms, we get [tex]35x + 5 = 180[/tex] Subtracting by 5 on both sides, we get [tex]35x = 175[/tex] This means that [tex]x = 5[/tex]. Now, we can find the degree measures of both angles and find the larger one. The degree measure of the angle on the left is 21(5) + 1 = 106 degrees, and the degree measure of the angle on the right is 14(5) + 4 = 74 degrees. Therefore, the degree measure of the larger angle is 106 degrees.
5. We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can sum the angles up and equate them to 180 degrees.
(x-24) + (2x-108) + (1/3x+12) = 10/3x - 120 = 180. Adding 120 to both sides, we get 10/3x = 300. Multiplying both sides by 3/10, we get x = 900/10 = 90. Therefore, plugging in x = 90, we get 66 degrees.
Related Questions
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?
Answers
Answer:
he would pay 55.8 dollars each day for 5 days
Step-by-step explanation:
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?
Answers
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
Jasmine paid $64.50 for a bracelet, after tax, and the tax rate is 7.5%. What was the original price of the bracelet?
Answers
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
Can somebody help me find the perimeter of this figure?
Answers
Answer:
I'm not exactly sure but
try 36inches??
Answer:
your answer is 36 inches.
Step-by-step explanation:
Okay, so you see how the 8 in has one dash. So you see how many one dashes there are and you have 2 so then you add that together and you get 16. Same thing with the 5in you have 4 two dashes. So then you add 16+20 and get 36.
Mark me brainliest pLZ!!!!!!
M
(
x
)
=
log
(
x
0.001
)
M
(
x
)
=
log
(
x
0.001
)
Answers
Answer:
0
Step-by-step explanation:
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
Answers
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]
Which mapping best represents the function f(x) = 2x2 + 5x + 3 when the domain is {–1, 0, 3}?
Answers
Answer:
Step-by-step explanation:
Given the function f(x) = 2x^2 + 5x + 3 with the domain {-1, 0, 3}, to get the mapping that best represents the function, we will have to find the codomain of the function given by substituting the domain values into the function;
when x = -1
f(-1) = 2(-1)^2 + 5(-1)+ 3
f(-1) = 2 - 5+ 3
f(-1) = 0
when x = 0
f(0) = 2(0)^2 + 5(0)+ 3
f(0) = 0+0+ 3
f(0) = 3
when x = 3
f(3) = 2(3)^2 + 5(3)+ 3
f(3) = 18+15+ 3
f(3) = 36
Hence the mapping is {0,3,16}
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.
Answers
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:
Which expression is not equivalent to -3x1/2+4y
Answers
Answer:
The second expression
Step-by-step explanation:
the term in x is not - 3 x
A board 60 in long is cut into two parts so that the longer piece is 5 times the shorter. What are the two lengths of the two pieces ?
The shorter piece is _____ a° in
the longer piece is _____a° in
Answers
Answer:
Longer piece: 50 in
Shorter piece: 10 in
Step-by-step explanation:
Lets make the shorter piece = x
Leta make the longer piece = 5x
Since the longer piece is 5 times the shorter, this is why we put 5x, because 5 times the shorter. We also have to find the two lengths of the pieces which in total equals 60 in.
x + 5x = 60 in
If we substitute the x to 10:
10 + 50 = 60 in
10 in = shorter length
50 in = longer length
Solve.
X-9 = 12
.....
Answers
Answer:
x=21
Step-by-step explanation:
x=9+12 x=21
Answer:
Step-by-step explanation:
X-9=12
Reverse the operation into
9+12=x
9+12=21
Now check
21-9=12
How much is 2/3 - 1/6 =
Answers
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!
How much work is required to lift a 2.90 kg object from the bottom of a well 8.7 m deep?
Answers
Answer:
THE ANSWER IS YOU CAN DO IT BECAUSE YOUR SMART!!!!!
Step-by-step explanation:
What is the greatest common factor of 21, 35, and 49?
Answers
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
are two squares with the same side lengths scaled copies of one another explain your reasoning
Answers
Answer:
no
Step-by-step explanation:
if they have the same side lengths, then neither of the squares were scaled up nor down. they're the same size, so they're just copies of each other
NEED HELP GIVING 20 POINTS
Answers
Answer:
-5
Step-by-step explanation:
Just substitute the values and use a calculator to solve.
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?
Answers
Explanation: Dad bought 4 drinks that cost 3.25 = 13.
Dad bought 4 hot dogs with chips for $8.00 = $32.00
Plus 32.00 + 13.00 = $45.00 - $2.00= $43.00
Does anyone know this please
Answers
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?
Answers
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:
Solve for b.
ab +c=d
Answers
Answer:
[tex]ab + c = d \\ ab = d - c \\ b = \frac{d - c}{a} [/tex]
Which system of equations is equivalent to the following system?
4x + y = 4
2x + 7y = 28
Answers
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
https://brainly.com/question/12895249
#SPJ5
Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?
Answers
Answer:
uh
Step-by-step explanation:
gygygyg
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
Answers
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
?
?
Answers
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]
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)?
Answers
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
https://brainly.com/question/12537661
#SPJ3
Whats (2^–1)^3 with the same base but one exponent??
Answers
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.
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)
Answers
Answer:
I GUESS ITS NO(TWO VALUES FOR ONE X VALUE) I DONT KNOW IF ITS CORRECT IM JUST GUESSING
Step-by-step explanation:
4. Write two different ways you can find 125% of 8.
Answers
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:
An elevator is 2/3 full. The people in the elevator weigh 1/3 ton altogether. How many tons can the elevator carry when it is completely full?
1/2 ton
2 ton
1 tons
1/6 ton
Answers
Answer:
Half of a ton
Step-by-step explanation:
2/3 of the elevator are already full and the elevator already weighs 1/3 of ton.The elevator needs 1/3 more of people to make the elevator full so that would be half of 1/3 of a ton which is a sixth.So add 1/6 and 1/3 together ams you get 1/2.
What is the measure of ZA degrees?
Answers
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
