Answer:
The linear equation is 312 - (312/12) X = Y.
Step-by-step explanation:
Given that a car with 12 gallons of gasoline drives 312 miles until the tank is empty, to determine a linear equation that describes the amount of gas left in the car, Y, after driving X miles, the following calculation must be performed:
312 - (312/12) X = Y
312 - 26X = Y
So, for example, if you were driving 4 miles, the equation would work as follows:
312 - 26 x 4 = Y
312 - 104 = Y
208 = Y
Does anyone know how to solve this ?
Answer:
300 I think
Step-by-step explanation:
V=1/3 Bh
B=10*9=90
90*10=900 1/3 of 900= 300
A certain manufactured product is supposed to contain 23.2% potassium by weight. A sample of 10 specimens of this product had an average percentage of 23.6 with a standard deviation of 0.3. If the mean percentage is found to differ from 23.2, the manufacturing process will be recalibrated. State the appropriate null and alternate hypotheses.
Answer:
The null hypothesis is [tex]H_0: \mu = 23.2[/tex]
The alternate hypothesis is [tex]H_a: \mu \neq 23.2[/tex]
Step-by-step explanation:
Null hypothesis:
The product is supposed to contain 23.2% potassium by weight, which means that at the null hypothesis, we test that this is the correct weight. So
[tex]H_0: \mu = 23.2[/tex]
Alternate hypothesis:
If the mean percentage is found to differ from 23.2, the manufacturing process will be recalibrated, which means that we test if the mean differs from 23.2, that is:
[tex]H_a: \mu \neq 23.2[/tex]
los trabajadores de una mina se encuentran a 20 metros bajo tierra .Si excavan 3 metros desde alli suben otros 8 metros para coger una caretilla a que altura estaba la carretilla
Step-by-step explanation:
la carretilla estaba a unos 15 metros de altura
HELPPP
PLSS
DUE RN
WILL GUVE BRAINLIST
Answer:
8 × pi
Step-by-step explanation:
The equation for circumference is 2 × pi × r.
Since the diameter is 8, we know the radius is 4.
2 × pi × 4 = 8pi
50 POINTS
Solve by linear combination
2x-4y=4
x-4y=10
Write your answer as an ordered pair with no spaces (x,y)
Answer:
(1/2,1/4) because m= 1/5 and m= 1/2 and te equation is y=1/4x - 5/2 and y= 1/2x - 1
Substracting both
[tex]\\ \sf\Rrightarrow x=4-10=-6[/tex]
Putting in eq(2)
[tex]\\ \sf\Rrightarrow -6-4y=10[/tex]
[tex]\\ \sf\Rrightarrow -4y=16[/tex]
[tex]\\ \sf\Rrightarrow y=-4[/tex]
Hence our solution is
(x,y)=(-6,-4)10(x+10)127 solve for x
Answer:
10(x+10)(127)
=1270x+12700
The given expression gives [x] as 2.7.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following equation -
10(x + 10) = 127
Given is -
10(x + 10) = 127
x + 10 = 12.7
x = 12.7 - 10
x = 2.7
Therefore, the given expression gives [x] as 2.7.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
Select the correct answer.
Which equation is equivalent to the given equation?
X^2 - 6X = 8
A. (X - 6)^2 = 44
B. (X - 3)^2 = 14
C. (X - 6)^2 = 20
D. (X - 3)^2 = 17
Answer:
I think it's D
Step-by-step explanation:
The equivalent equation is (x - 3)² = 17
The equation given is :
x² - 6x = 8
The equation is a quadratic equation
A quadratic equation is an equation that has one variable that is raised to the power of 2.
it is usually in the form : ax² + bx + c = 0
a, b,c are known numbers
x is unknown
To determine which option is correct, we are to solve for each of the options to see which is correct
1. (x - 6)² = 44
(x -6)(x -6) = 44
x² - 6x -6x + 36 = 44
x² -12x + 36 = 44
x² - 12 = 8
The first option is not correct
2. (x - 3)² = 14
(x -3)(x -3) = 14
x² - 3x -3x + 9 = 14
x² -6x + 9 = 14
x² - 6x = 5
the second option is not correct
3. (x-6)² = 20
(x -6)(x-6) = 20
x² -6x -6x + 36 = 20
x² -12x = -14
the third option is not correct
4. (x - 3)² = 17
(x-3)(x - 3) = 17
x² - 3x - 3x + 9 = 17
x² - 6x = 8
The fourth option is correct
To learn more about quadratic equations, please check: https://brainly.com/question/2925460?referrer=searchResults
Determine the area of the sector :
A circle with radius 12 inches formed by a central angle of 165°:
Round your answer to two decimal places.
______ inches squared
Answer:
[tex]\boxed {\boxed {\sf a \approx207.35 \ in^2}}[/tex]
Step-by-step explanation:
Since the central angle is given in degrees, we should use this formula to find the area of the sector:
[tex]a=\frac{\theta}{360} \times \pi r^2[/tex]
The central angle is 165 degrees and the radius is 12 inches.
θ= 165 r= 12 inSubstitute the values into the formula.
[tex]a= \frac{165}{360} \times \pi (12 \ in)^2[/tex]
Solve the exponent.
( 12 in)² = 12 in * 12 in =144 in²[tex]a= \frac{165}{360} \times \pi(144 \ in^2)[/tex]
Multiply all the numbers together.
[tex]a= 207.345115137 \ in^2[/tex]
Round to the nearest hundredth (two decimal places).
207.345115137The 5 in the thousandth place (in bold above) tells us to round the 4 in the hundredth place up to a 5.
[tex]a \approx207.35 \ in^2[/tex]
The area of the sector is approximately 207.35 inches squared.
Question 1 of 20 :
Select the best answer for the question.
1. What is 7/4 as a mixed number?
A. 13/
B.314
c. 17/4.
D. 11/4
Mark for review Will be highlighted on the review page)
Next Question >>
Answer: 1 & 3/4
We can write this as [tex]1 \frac{3}{4}[/tex]
============================================
Explanation
Consider this: You have 7 donuts and 4 friends you want to split the donuts with. The question is, how many donuts does each of your friends get?
The number 7 isn't a multiple of 4, meaning 7/4 won't result in a whole number. If you had one more donut, then 8/4 = 2 is a whole number. So that must mean everyone only gets one whole donut plus some leftover amount.
If those 4 friends get 1 whole donut each, then 4*1 = 4 donuts are passed out and 7-4 = 3 are left over. The "1" forms the whole part of the mixed number, while the '3' is the numerator of the fraction. The denominator stays the same at 4.
So we go from the improper fraction 7/4 to the mixed number 1 & 3/4. Each person gets 1 whole donut and then 3/4 of a whole donut
------------
We can write the mixed number 1 & 3/4 as [tex]1 \frac{3}{4}[/tex]. Keep in mind that this expression does not mean 1 times 3/4. Instead, it really is saying 1 + (3/4).
-4+3b^2=143
Simplest radical form
Answer:
[tex] - 4 + 3b {}^{2 } = 143 \\ 3b {}^{2} = 143 + 4 \\ 3b {}^{2} = 147 \\ b {}^{2} = \frac{147}{3} \\ b {}^{2} = 49 \\ b = 7[/tex]
Determine the lengths of both missing sides
45°
у
5
[tex]x = \frac{10}{\sqrt{2}}\\\\y = 5[/tex]
Simplify
-6 + 2a + 1 + 2a
Answer:
- 5 + 4a
Step-by-step explanation:
- 6 + 2a + 1 + 2a
- 6 + 1 + 4a
- 5 + 4a
find the value of X if: x-30%ofx=rs70
Answer:
Step-by-step explanation:
x-30% 0f x=70
x-30/100*x=70
100x-30x/100=70
70x=70*100
x=7000/70
x=100
Answer:
[tex]X - 30 \% \ of \ X = 70\\\\Using \ BODMAS \ first \ priority \ for \ 'of'\\\\X - (30 \% \ of \ X) = 70\\\\ X - (\frac{30}{100}\times X) = 70\\\\X - \frac{30X}{100} = 70\\\\\frac{100X -30X}{100} = 70\\\\70X = 70 \times 100\\\\X = \frac{7000}{70} = 100[/tex]
For each of the following scenarios, simply state WHICH technique would be the most appropriate method to analyze the results.
a. Sam wants to know if students spend more time studying for midterms or for finals. She asks 30 people how many hours they studied for each exam, and records their responses. She expects that students spend more time studying for finals.
b. Michael thinks that people who travel more report higher quality of life. To test this, Michael studies a group of 20 people across many years. He gets them to rate their quality of life (on a scale from 1-10) before they’ve travelled at all, again after they’ve taken their first trip abroad and again after their third trip abroad. Michael compares the data at the three time points to see if his hypothesis is correct.
c. Meredith wants to know if a new medication affects sleep. So, she takes a sample of 81 people and has them all take the medication for a week. During that time, those 81 people record the number of hours they slept. If you are given M = 42, µ = 45 and σ = 8, how can you determine whether the medication affects the number of hours people sleep.
d. In the previous question, if you were given the standard deviation for the group of 81 people only, instead of σ, what would you do to answer the same question?
Answer:
Below is the solution to the given points:
Step-by-step explanation:
For point a:
There have 30 overviews paired here and we'd like to analyze the mean studying time in the middle and final periods. It will employ a paired t-test. The difference (d) = mid - final
Hypotheses:
[tex]H_o: \mu_d \geq 0\\\\H_a: \mu_d < 0[/tex]
For point b:
More than three variables should be examined here because ANOVA is employed in one method.
For point c:
This one Z test is used since we have the standard difference in population.
Hypotheses:
[tex]H_o:\mu = 45\\\\ H_a:\mu\neq 45[/tex]
For point d:
Since not knowing the sample standard deviation, we will use an individual sample t-test.
Hypotheses:
[tex]H_o: \mu = 45\\\\ H_a: \mu \neq 45[/tex]
35. Look at the expression. 14 + Which shows an equivalent expression that can be used to find the sum? a) 14+ 7
Answer:
14/1 x 7/7 = 35/1
Step-by-step explanation:
Two students in the same Spanish class, Perry and Dakota, plan to get together after school
to make vocabulary flashcards. Perry started on the project yesterday and has already made
5 flashcards. Dakota hasn't started yet. Since Perry makes 4 flashcards per minute and
Dakota makes 5 flashcards per minute, Dakota will soon have the same number of
flashcards. How many flashcards will each student have at that point?
Write a system of equations, graph them, and type the solution.
Answer:
Dakota=20 perry=25 together= 45
Step-by-step explanation:
First step, remember to keep 5
second step, if they are find keep multiplying until they both meet the same number which is 20, but they both have 20. But Perry will have 25 since he started a day before
HELP WITH THIS MATH QUESTION PLS ^^ TY!
Answer:
volume of a brick: 10(7)(5) = 350 [tex]in^3[/tex]
14000/350 = 40 bricks
Find the missing number so that the equation has no solutions.
__x - 11 + 6x = 3x + 20
the answer for this equation is -3x
x + 2y = 3
3x - 2y = 5
What is the solution to the system of equations?
A)
(4, 3.5)
B)
(2,3)
(2, -1)
D)
(3, 2)
Answer:
x=2, y=1/2. (2, 1/2).
Step-by-step explanation:
x+2y=3
3x-2y=5
-------------
4x=8
x=8/4
x=2
2+2y=3
2y=3-2
2y=1
y=1/2
help is very much appreciated!
Answer:
b and a I hope I am right plz tell me the correct answer if I'm wronh
Hailey has a rectangular garden in her back yard. The garden has a width of 3 1/4 feet and a length of 7 1/2 ft. Hailey wants to expand the garden to have an area of 32 1/2 feet squared but she wants to keep the same width. Determine the length of the garden when the area is 32 1/2 ft squared.
Answer:
fiduhguhgfbuifhff
Step-by-step explanation:
lfhmiofioe
Given The recourse recursive formula, find the first four terms:
Answer:
c
Step-by-step explanation:
we are given that
[tex] \displaystyle a_{n} = - 3 \: \cdot a_{n - 1} \\ a_{1} = 45[/tex]
we are already given our first term i.e 45
for second term
[tex] \displaystyle a_{2} = - 3 \: \cdot a_{2- 1} [/tex]
simplify substraction:
[tex] \displaystyle a_{2} = - 3 \: \cdot a_{1} [/tex]
since we have [tex]a_1=45[/tex]
substitute:
[tex] \displaystyle a_{2} = - 3 \: \cdot 45[/tex]
simplify multiplication:
[tex] \displaystyle a_{2} = - 135[/tex]
for third term
[tex] \displaystyle a_{3} = - 3 \: \cdot a_{3- 1} [/tex]
simplify Substraction:
[tex] \displaystyle a_{3} = - 3 \: \cdot a_{2} [/tex]
as [tex]a_2=-135[/tex]
substitute:
[tex] \displaystyle a_{3} = - 3 \: \cdot - 135[/tex]
simplify multiplication:
[tex] \displaystyle a_{3} = 405[/tex]
for forth term
[tex] \displaystyle a_{2} = - 3 \: \cdot a_{4- 1} [/tex]
simplify Substraction:
[tex] \displaystyle a_{2} = - 3 \: \cdot a_{3} [/tex]
substitute:
[tex] \displaystyle a_{2} = - 3 \: \cdot 405[/tex]
simplify multiplication:
[tex] \displaystyle a_{2} = - 1215[/tex]
hence,
the first four terms are 45,-135,405,-1215
Step-by-step explanation:
hence,
the first four terms are 45,-135,405,-1215
Write the equation of a line perpendicular to the line:
y=43x−1
that goes through the point (-6, -6).
Write your answer in slope- intercept form, using reduced fractions for the slope and intercept.
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
translation
Step-by-step explanation:
shape is moved to the side but not changed in any other way
Answer:
TRANSLATION
Step-by-step explanation:
The Skate Center charges a $50 flat fee kick-back party rental and $5.50 for each person who attends. Your parents gave you no more than $300 to spend on the party. How many people can you invite to the party without going over budget? I NEED THE ANSWER QUICK!
Answer: 45 people
Step-by-step explanation:
Data: $50 to rent the Skate Center
$5.50 for each person who attends
Limit of spending: $300
How many people can attend=x
Step one, Make the equation
$5.50x+$50=$300
Reason: Since we know that amount of people(x) multiplied by $5.50 added to $50 will get us $300, we can make an equation from that. The equation will make the problem simpler to solve.
Step two, Start isolating x by subtracting $50 on both sides
$5.50x+$50-50=$300-50=$5.50x=$250
Reason: Since we have to find x, we have to isolate it. The first step in doing that is subtracting $50 by 50 to get rid of it. However, since what you do to one side, you do to the other, you have to subtract $300 by 50 to get $250.
Step three, Divide by 5.50 on both sides
$5.50x/5.50=$250/5.50=x=45.454545454-
Reason: Since we have to isolate x and 5..50 is being multiplied by x, you have to divide it by 5.50 to get rid of 5.50. What you do to one side, you do to the other so you divide 250/5.50 to get 45.4545454545-.
Since this is a irl problem, you have to round it to 45 people
Answer: 45 people
I hope this helps!
48
A customer buys two packets of meat.
One packet weighs 2.20 kg and the other packet
weighs 1.90 kg.
What is the total weight?
a3.10 kg
b3.11 kg
c4.01 kg
d4.10 kg
if f(x)=×^2-81andg(x)
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
[tex]f(x)\cdot g(x)=(x^2-81)\dfrac{x+9}{x-9}=\dfrac{(x-9)(x+9)(x+9)}{(x-9)}\\\\=\boxed{(x+9)^2}[/tex]
-5(6n+6)=30 I need help
Answer:
N= -2
Step-by-step explanation:
2) write a linear function that passes through point ( 3, 6) and is perpendicular to Y=2X-1.
Answer:
y=-1/2*+5
Step-by-step explanation:
PLS HELP ASAP!!!!!!
THANK UUU
Answer:
a: is 36
Step-by-step explanation: