Answer:
Price of one pretzel = $1.5
Step-by-step explanation:
Let the price of a hot dog = [tex]x[/tex]
Let the price of a drink = [tex]y[/tex]
Let the price of a pretzel = [tex]z[/tex]
As per the given question statement:
[tex]3x+2y+z=\$16.50..... (1)\\4x+4y+2z=\$26........ (2)\\2x+y+3z=\$13.75..... (3)[/tex]
To find:
The price of one pretzel, i.e. [tex]z=?[/tex]
Multiplying (3) with 2 and subtracting (1) from it:
[tex]x+5z=11[/tex] ..... (4)
Multiplying (3) with 4 and subtracting (2) from it:
[tex]4x+10z=29[/tex] ..... (5)
Multiplying (4) with 4 and subtracting (5) from it:
[tex]10z=15\\\Rightarrow z =\bold{1.5}[/tex]
The price of one pretzel is $1.50.
Calculation of the price:Let the price of a hot dog = x
Let the price of a drink = y
Let the price of a pretzel = z
So,
The equations are
3x + 2y + z = $16.50 .....(1)
4x + 4y + 2z = $26..........(2)
2x + y + 3z = $13.75........(3)
Now
Here we Multiplying (3) with 2 and subtracting (1) from it:
So, it gives x + 5z = 11 ......(4)
Now
Multiplying (3) with 4 and subtracting (2) from it:
So, 4x + 10z = 29...(5)
Now
Multiplying (4) with 4 and subtracting (5) from it:
So, 10z = 15
x = 1.5
Therefore, The price of one pretzel is $1.50.
Learn more about price here: https://brainly.com/question/20763817
Erica babysits for 4 ½ hours and is paid $27. How much does she make for 8 hours?
Answer: $216
Step-by-step explanation:
Hope it helped
3.
Find the value of X 11x-2 19x+3 9x+1 PLEASE LOOK AT PICTURE
Answer:
x=4
Step-by-step explanation:
1) first write it down --> 11x-2+9x+1=19x+3
2) then combine like terms on the left side of the equation. --> 20x-1=19x+3
3) Then subract 19x on both sides --> x-1=3
4) After add 1 to both sides --> x=4
Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options. There are three unique solutions to the function when y=0. The function has a double root. As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again. As x approaches negative infinity, y approaches positive infinity. The domain and range of the function are the set of real numbers.
Answer:
The function is:
f(x) = x^3 - 4*x^2 - 3*x + 18.
Below, you can see the graph of the function.
The statements that are true are:
As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.
You can see this in the graph and may be really hard to see it without the graph, the easier way would be to see the derivate of f(x) and see that is first positive, then negative, and then positive.
f'(x) = 3*x^2 - 8*x - 3
As the leading coefficient is positive, the arms oppen up, and f'(0) = -3
Then is easy to see that from left to right, is positive, then negative, and then positive again.
The domain and range of the function are the set of real numbers.
For the domain, we do not have any denominator nor weird function that has problems in a particular value, so the domain is the set of all real numbers.
And as you can see, as the leading coefficient is an odd power of x, the range will go from minus infinity to infinity (you can also see it in the graph).
The function has a double root.
Yes, in the graph you can see two roots, but this is a 3rd-degree polynomial, so it must have 3 roots, this means that one of the roots in the graph is a double root. (Where the double root is at x = 3, as you can see in the graph)
Answer:
B), C), and E)
Step-by-step explanation:
Edge 2021
mina put 1205 pokemon cards into a notebook with 15 cards per page. how many sheets can she fill? how many cards left over
Answer:
she filled 80 pages with 5 left over
Step-by-step explanation:
A work shift for an employee at a restaurant consists of 12 hours what fraction of the employees work shift is represented by 8 hours
Answer
b
Step-by-step explanation:
Complete the square for the following expression
and write the resulting expression as a binomial squared.
x² + 8x +_____=(_____)^2
Answer:
16, x+4^2
Step-by-step explanation:
To find the perfect square with an A factor of 1, just double the next number.
Can any body answer me what ia 2+2
4
four
This is the answer.
Thanks for free points.
Jodi bought 4 identical bags of potato chips and one bottle of water. The bottle of water costs $1.25, and her entire order costs $10.41. Write an equation you can use to find out the cost of each bag of potato chips.
Answer:
10.41 - 1.25 = x
x / 4 = answer
(the answer is $2.29 per chip bag)
Step-by-step explanation:
;3
The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. The Mighty Clean Car Wash charges $10 for a carwash plus $2.75 per for unleaded gasoline. Josh is comparing the cost of having his car wash plus filling up his tank with gas at each business. How many gallons of gas would he need to purchase for the cost to be the same at each car wash?
Answer:
The indifference point is 20 gallons.
Step-by-step explanation:
Giving the following information:
Quik-Clean Car Wash:
$15 for a car wash plus $2.50 per gallon for unleaded gasoline.
Mighty Clean Car Wash:
$10 for a carwash plus $2.75 per for unleaded gasoline.
First, we need to structure the total cost formula:
Quik-Clean= 15 + 2.5x
Mighty Clean= 10 + 2.75x
x= gallon of gasoline
Now, we equal both formulas and isolate x:
15 + 2.5x = 10 + 2.75x
5 = 0.25x
20 = x
The indifference point is 20 gallons.
Prove:
Quik-Clean= 15 + 2.5*20= $65
Mighty Clean= 10 + 2.75*20= $65
What are the values of x, y, and z in this system of equations?
2x+4y+z=1
x-2y-3z=2
x+y-z=-1
Answer:
{x,y,z}={5,−3,3}
Step-by-step explanation:
[1] 2x + 4y + z = 1
[2] x - 2y - 3z = 2
[3] x + y - z = -1
// Solve equation [3] for the variable y
[3] y = -x + z - 1
// Plug this in for variable y in equation [1]
[1] 2x + 4•(-x +z -1) + z = 1
[1] -2x + 5z = 5
// Plug this in for variable y in equation [2]
[2] x - 2•(-x +z -1) - 3z = 2
[2] 3x - 5z = 0
// Solve equation [2] for the variable x
[2] 3x = 5z
[2] x = 5z/3
// Plug this in for variable x in equation [1]
[1] -2•(5z/3) + 5z = 5
[1] 5z/3 = 5
[1] 5z = 15
// Solve equation [1] for the variable z
[1] 5z = 15
[1] z = 3
// By now we know this much :
x = 5z/3
y = -x+z-1
z = 3
// Use the z value to solve for x
x = (5/3)(3) = 5
// Use the x and z values to solve for y
y = -(5)+(3)-1 = -3
Solution :
{x,y,z} = {5,-3,3}
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles.
Answer:
84
Step-by-step explanation:
none
The number of blue marbles are 126 and the number of red marbles are 24.
Given that, a bag contains 150 marbles.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
There are 21 blue marbles for every 4 white marbles.
Here, the ratio of blue marbles to red marbles is 21:4
The number of blue marbles = 21x and the number of red marbles =4x
So, 21x+4x=150
⇒ 25x=150
⇒ x=150/25
⇒ x=6
Then blue marbles=21x=126 and red marbles = 4x =24
Therefore, the number of blue marbles are 126 and the number of red marbles are 24.
To learn more about the ratio visit:
brainly.com/question/13419413.
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"Your question is incomplete, probably the complete question/missing part is:"
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag?
A car dealership needs to transport 58 cars to a new lot. If the transport truck can haul 6 cars at a time, how many trips will the transport truck need to make?
Answer:
10
Step-by-step explanation:
We need to find how many trips it will take to transport 58 cars
The explanation is simple:
58 / 6 = 9.6 repeating
So we round that quotient up to 10.
So the transport truck will need to take 10 trips to transport all 58 cars.
14. Mr. Feo is paid biweekly. His annual salary is $74,153. What is his biweekly salary, rounded to the
I
nearest cent?
Answer:
1426.00
Step-by-step explanation:
Find Sin x and Tan x if Cos x=2/3 and Cot x >0. Evaluate without using calculator.
[tex]\sqrt5[/tex]Answer:
Sin^2 x + Cos^2 x = 1
Sin^2 x = 1 - 4 / 9 = 5 / 9
Sin x = [tex]\sqrt5[/tex] / 3
Tan x = Sin x / Cos x = ([tex]\sqrt5[/tex] / 3) / (2 / 3) = [tex]\sqrt5[/tex] / 2
Write the polynomial in terms of its linear factors.
P(x) 2x^4 - 4x^3 - 16x^2
9514 1404 393
Answer:
P(x) = (2x)(x)(x-4)(x+2)
Step-by-step explanation:
Once the common factor of 2x^2 is factored out, you have ...
P(x) = 2x^2(x^2 -2x -8)
To factor the quadratic, you look for factors of -8 that have a sum of -2.
-8 = (1)(-8) = 2(-4)
These last factors have that sum, so we can write P(x) as ...
P(x) = (2x)(x)(x +2)(x -4)
Unit Post Test
Suomi Test
Reader TOOLS
2
-6
- 2
-2
4
6
The function g> is a transformation of AX). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?
OA. 80%) = 1x) - 2
B. gx) = Rx+ 2)
OC. 8) = px - 5)
OD. 81%) = Rx) - 5
Reset
Next
Answer:
r
Step-by-step explanation:
Bonnie bought a 13-pound turkey for $11.05. How much money di she pay for each pound of turkey?
Answer:
1.18
Step-by-step explanation:
13/11.05=1.176
it rounds to $1.18
Im sorry if its wrong
Which equation represents a linear function?
Answer:
Y=2x-6
Step-by-step explanation:
Linear equation in two variables represents a line.
7th grade math help me plzz
Answer:
-3, -2, -0.8, -1/10, 1/2, 0.8, 7
Step-by-step explanation:
hope this helps
A diver descends at a steady rate of 2.54 meters every hour. Yesterday, he dove to a depth of 18 meters. Which expression can you use to find how many hours he dove?
Answer:The answer is C OR –18 ÷ –2.54
Step-by-step explanation:
i got the question right
What is the value of 10 ^4
Answer:
10000
Step-by-step explanation:
10*10=100
10*10=100
100*100=10000
Answer:
Step-by-step explanation:
[tex]10^{4}[/tex]
=> 10, 4 times
=> 10 * 10 * 10 * 10
=> 10000
=>10,000
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
AM = 5x - 2 and MB = 2x + 19, Find the length of AB
Answer:
The answer would be: -0.01
Step-by-step explanation:
1) State what is given
AM = 5x -2 and MB = 2x +19
2) Make an equation that can satisfy the problem
AM + BM = AB
This is the equation, because if I am to put this on a line,
A M B
-_____________-_____________-
You can see that is you combine the lengths AM and BM you can find the total length of AB.
A M + M B
-_____________- + -_____________-
(M point is actually one point, but I am trying to show that if the line were to be cut in half, then put back together you get you full length, which is AB)
3) Substitute
(5x - 2) + (2x + 19) = AB
4) Now Solve!
5x - 2 + 2x + 19 = AB
(Rearrange to combine like terms)
5x + 2x + 19 - 2 = AB
7x + 17 = AB
(That is your equation to find AB! But they want the specific length)
So...
We solve it!
7x = -17
(By moving the 17 to the other side of the = sign, it becomes negative)
7x = -17
7 7
(Dividing both sides by 7 in order to get x alone)
x = -2.43
(I rounded to the hundredths place)
Now substitute that into x into you original equation)
5(-2.43) - 2 + 2(-2.43) + 19 = AB
-12.15 - 2 - 4.86 + 19 = AB
-14.15 - 4.86 + 19
-19.01 + 19 = -0.01
= -0.01
(I believe this would be the answer, but it doesn't seem to fit right, so please understand, that if this is wrong, I AM SO SORRY ;-;)
(I tried my best on this problem, but I bet it isn't the answer, so if I get this wrong tell me so that I can remove it! :)
The height of the Seattle Space Needle, including the spire, is 184 meters. The height of the building without the spire is 158 meters. What is the height, in meters, of the spire?
Answer:
26
Step-by-step explanation:
184-158=26
Which is a better deal?
4 bags of chins for $1.00 or 6 bags of chips for $1.20?
Answer:
6 bags of chips for 1.20
2x + 7 = 5x - 8 (x - 4)
Answer:
x=5
Step-by-step explanation:
2x + 7 = 5x - 8 (x - 4)
Distribute
2x+7 = 5x - 8x +32
Combine like terms
2x+7 = -3x+32
Add 3x to each side
2x+7+3x = -3x+32+3x
5x+7 = 32
Subtract 7 from each side
5x+7-7 = 32-7
5x = 25
Divide by 5
5x/5 = 25/5
x=5
What is the image of figure B after a -90° rotation about the origin?
A B
B. X
C. Y
D. Z
Answer:
D. Z
Step-by-step explanation: Just took the practice test
how many times does 143 go into 158
1 time
I am not really sure
hope this helps
Answer:
0nce
Step-by-step explanation:
It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random sample of 9 adults are chosen. The average temperature of the 9 adults is only 98.1°F with a SD of 0.9°F. The question is whether the data on these 9 people is sufficient evidence to conclude that average body temperature among all healthy adults is really lower than 98.6°F. Assume the average body temperatures follow the normal curve.
1. Which significance test should be used?
a. z-test because the 50 of the population is known.
b. t-test because the SD of the population is known.
c. neither since it is untkely that temperatures would follow the nermal curve.
d. a t-test because the 50 of the sample is unknown.
e. a t-test because the SD of the pepulation is unknown.
Since the sample size is small and temperatures are lkely to be normaly distributed ether test may be used.
2. What is the null hypothesis?
A. That the average temperature in the population is 98.1 F.
B. That the average temperature in the pepulation is 98.6.
C. That the average temperature in the population is less than 98.6 F.
D. That the average temperature in the sample is 98.1.
3. What is the abernative hypothesis?
A. That the average temperature in the pepulation is 98.1 F.
B. That the average temperature in the population is 98.6F.
C. That the average temperature in the population is less than 98.6.
D. That the average temperabure in the sample is 98.17.
4. Compute SD.
5. Compute the best statistic.
6. How many degrees of freedom are there?
Answer:
Explained below.
Step-by-step explanation:
The information provided is as follows:
[tex]\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9[/tex]
(1)
A single mean test is to be performed in this case.
As the population standard deviation is not provided, a one-sample t-test will be used.
The correct option is b.
(2)
The null hypothesis is:
H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.
The correct option is b.
(3)
The alternative hypothesis is:
Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.
The correct option is c.
(4)
The standard deviation of the sample mean is as follows:
[tex]SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F[/tex]
Thus, the value of SD is 0.3°F.
(5)
Compute the value of test statistic as follows:
[tex]t=\frac{\bar x-\mu}{SD_{\bar x}}[/tex]
[tex]=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67[/tex]
Thus, the value of test statistic is -1.67.
(6)
The degrees of freedom of the test are:
df = n - 1
= 9 - 1
= 8
Thus, the degrees of freedom of the test is 8.
Testing the hypothesis, it is found that:
1. e. a t-test because the SD of the population is unknown.
2. B. That the average temperature in the population is 98.6.
3. C. That the average temperature in the population is less than 98.6.
4. The standard error is of 0.3.
5. The test statistic is t = -1.67
6. There are 8 df.
We have the standard deviation for the sample, hence, a t-test should be used.
At the null hypothesis, it is tested that the average body temperature among all healthy adults is of 98.6ºF, hence the answer to question 2 is b.
At the alternative hypothesis, it is tested if the average is lower, hence, the answer to question 3 is C.
In this problem:
The standard deviation of the sample is [tex]s = 0.9[/tex]The sample has 9 adults, hence [tex]n = 9[/tex]The sample mean is of [tex]\overline{x} = 98.1[/tex]The standard error is of:
[tex]s_e = \frac{0.9}{\sqrt{9}} = 0.3[/tex]
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 98.6[/tex] is the value tested at the null hypothesis, hence:
[tex]t = \frac{98.1 - 98.6}{0.3}[/tex]
[tex]t = -1.67[/tex]
The amount of degrees of freedom is one less than the sample size, hence there are 8 df.
A similar problem is given at https://brainly.com/question/13873630
If the surface area of a cylinder is 800 in^2 and the height is 15 in, what is the base?
Answer:
base = diameter
Step-by-step explanation:
if the surface area of the cylinder is 800...
the height is 15... then the formula must be 3.14 x 15 x R2
r squared is supposed to be the square of the radius of the cylinder\
conclusion: 3.14 x 15 x R2 is 800_
so.multiply then..find the radius and add the answer you get to find the diameter ..records shows that 3 out of 4 families move about every 6 years. what is the percentage of families that move every 6 years?
75%.
3 out of 4 means 3/4
And if you divide 3/4 the answer is .75
So multiply by 100( because to convert decimal to percent you have to multiply by 100, or move the decimal place two places to the right) and you get 75
Slap a percent sign on there and you have 75%