Answer:
We know that:
Each mechanic can change the oil of 3 cars per hour.
The number of mechanics can change between 0 and a maximum of 4.
Then we can write the variable:
Y = number of oil changes per hour.
Y = 3*X
Where X is the number of mechanics working.
The independent variable is X (number of mechanics), because is the one that Zach can change, and the dependent is Y (number of oil changes) because this depends on the value of X.
Now, the domain will be: {0, 1, 2, 3, 4}
The possible numbers of mechanics working at the same time.
And for the range we must replace those values in our equation, and see the possible values of Y.
Y(0) = 3*0 = 0
Y(1) = 3*1 = 3
Y(2) = 3*2 = 6
Y(3) = 3*3 = 9
Y(4) = 3*4 = 12
Then the range is: {0, 3, 6, 9, 12}
Two months ago, the mean daily rainfall in a local city was 9. 4 cm. The mean absolute deviation was 3. 5 cm. Last month, the mean daily rainfall in that city was 11. 5 cm, and the mean absolute deviation was 1. 6 cm. Which statement about the rainfall is true? More rain fell two months ago than last month. About the same amount of rain fell two months ago as last month. Last month, the amount of rain that fell each day varied about the same as the month before. Last month, the amount of rain that fell each day varied less than the month before.
Last month the amount of rain that fell each day varied about the same as the month before is the right statement about the rainfall, Option c is correct.
What is the mean absolute deviation?The average distance between each data point and the mean is the mean absolute deviation of a dataset. It offers us an indication of how variable a dataset is.
The given data in the problem is;
Two months ago,
The mean daily rainfall in a local city was 9. 4 cm.
The mean absolute deviation was 3. 5 cm
Last month
The mean daily rainfall in that city was 11. 5 cm
The mean absolute deviation was 1. 6 cm.
We can see that there was less variation last month than the month before since the mean absolute deviation is a measure of variance.
Hence Last month the amount of rain that fell each day varied about the same as the month before is the right statement about the rainfall, Option c is correct.
To learn more about the mean absolute deviation refer to the link;
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Help with 2 questions pls.......Due at 6:00
Use distributive property to find each product
1. 3(26)
2. (18)9
Answer:
1.) 78
2.) 162
Step-by-step explanation:
you just multiply the number outside of the parentheses by the one inside them lol
Single term algebraic expression is called?
Answer:
A Monomial
A single term algebraic expression is called:
Constant term
Step-by-step explanation:
A term of an algebraic expression that has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.
Example:
The algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression.
Have a great rest of your day
#TheWizzer
Single term algebraic expression is called ''Monomial''.
What is Monomial?The monomial is a product of powers of variable with non negative integer exponent. It is the algebraic expression with single term.
Given that;
Single term in algebraic expression.
Now,
Since, We know that;
The algebraic expression with single term is called ''Monomial''.
And, The algebraic expression with double term is called ''Binomial''.
Thus, Single term algebraic expression is called ''Monomial''.
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#18 please help gang gang
Answer:A
Step-by-step explanation:
270/630 x 100= 43
answer: A
Step-by-step explanation:
270/630x100 =45
[tex]5x - 3 = 3x + 7[/tex]
I having a bit of trouble with this one, i still can’t understand this.
Answer: x = 5
Step-by-step explanation:
(3x + 22) and (3x + 128) are supplementary angles, which means that they add up to 180, so we can write our equation.
(3x + 22) + (3x + 128) = 180
3x + 22 + 3x + 128 = 180
6x + 150 = 180
6x = 30
x = 5
What is the surface area of the figure below?
6 m
4 m
8 m
Answer:
192m
Step-by-step explanation:
6m x 4m x 8m = 192m
Look at the time on the following clocks
How much time has passed between the first clock and the second clock.
Answer:
41 minutes
Step-by-step explanation:
it is 41 minutes
what are the values of a and b?
Answer:
A
[tex]\boxed{a=\frac{9}{2}}}[/tex]
[tex]\boxed{b=\frac{15}{2}}[/tex]
Step-by-step explanation:
By ratio and proportion
Let's solve for "a" first:-
[tex]\cfrac{a}{6} =\cfrac{6}{8}[/tex]
[tex]8a=36[/tex]
[tex]\cfrac{8a}{8}=\cfrac{36}{8}[/tex]
[tex]\boxed{a=\frac{9}{2}}}[/tex]
Now, Let's solve for "b":-
[tex]\cfrac{b}{6} =\cfrac{10}{8}[/tex]
[tex]8b=60[/tex]
[tex]\cfrac{8b}{8}=\cfrac{60}{8}[/tex]
[tex]\boxed{b=\frac{15}{2}}[/tex]
Therefore, your answer is A!!!!
~
(n+1) 2 for n=-9 what is the answer
to this problem
Answer:
-16
Step-by-step explanation:
(n+1) 2 n=-9
Step 1 Plug in -9 for n: (-9+1)x 2
Step 2 Add -9 and 1: -8x2
Step 3 Multiply -8 and 2: -16
what expression is equal to 20+30
Answer: 50 right?
Step-by-step explanation:
Answer:
30 plus 20
Step-by-step explanation:
or 15 35
25 25
or 0 59
I’m to lazy to do this page of my homework. Can someone do it. I will give Brainliest!!!
50% of 60 minutes is 30 minutes
0.50 * 60 = 30
Q1010% of 60 minutes is 6 minutes
0.10 * 60 = 6
Q1175% of 60 minutes is 45 minutes
0.75 * 60 = 45
Q12the order is, 65% of 80, 170% of 30, 82% of 50
0.65 * 80 = 52
0.82 * 50 = 41
1.70 * 30 = 51
Q13200,000 * 0.01x = 130,000
130,000/200,000 = 0.65
0.65/0.01 = 65
the plane used 65% of fuel capacity on this flight
Answer:
Step-by-step explanation:
1) 50% of 60 minutes is 30 minutes
2) 10% of 60 minutes is 6 minutes
3) 75% of 60 minutes is 45 minutes
4) 52%
5) 41%
6)51%
FINAL QUESTION:
260,000,000 fuel used
twelve mangoes are to be shared in the ratio of 2:3:1.How many mangoes will each person get
A certain health insurance plan costs $3000 per year for a family of six. If each member of the family has $750 in medical expenses in a year, and the plan pays 100 percent of those expenses, how much will the family save by purchasing the plan?
Answer:
I think its $1,500
Step-by-step explanation:
6 times 750 = 4,500
4,500- 3,000= 1,500
Trigonometry that’s due in one hour :(
Answer:
(a) [tex]\theta=\tan^{-1}(-0.890)[/tex]
[tex]\implies \theta=-41.66908262 \pm 180 \textdegree n[/tex]
[tex]\implies \theta=138.3309174..., 318.3309174...[/tex]
[tex]\implies \theta=138\textdegree, 318\textdegree[/tex]
(b) [tex]\theta=\cos^{-1}\left(\dfrac{\sqrt{3} }{2}\right)[/tex]
[tex]\implies \theta=30 \textdegree \pm360 \textdegree n, 330 \textdegree \pm360 \textdegree n[/tex]
[tex]\implies \theta=30 \textdegree , 330 \textdegree[/tex]
(c) [tex]\theta=\sin^{-1}\left(\dfrac{1 }{2}\right)[/tex]
[tex]\implies \theta=30 \textdegree \pm360 \textdegree n, 150 \textdegree \pm360 \textdegree n[/tex]
[tex]\implies \theta=30 \textdegree , 150 \textdegree[/tex]
The function f(x) is defined below. What is the end behavior of f(x)?
Please help!!
you're answer would be number 3
la suma entre el triple de un numero y el doble de su consecutivo es 37 ¿cuál es el número?
Answer:
18
Step-by-step explanation:
divide the sum of 7/9 and 2/3 by 5/3
Answer:13/15
Step-by-step explanation:
Add 7/9 and 2/3 the answer is 13/9 then divide it by 5/3 in order for you to divide get the reciprocal of 5/3 which is 3/5 then multiply it and you well get 13/15
Answer:
13/15
Step-by-step explanation:
The answer is 13/15 because:
1) In order to figure out what 7/9 + 2/3 is, we need to find the common denominator. The common denominator is 9 because 3 contains the factor 9.
7/9 + 6/9 = 13/9
We need to multiply the denominator to get to 9: 3 x 3 = 9. We have to multiply the numerator as well: 2 x 3 = 6.
2) Next, we have to divide 13/9 and 5/3. In order to divide we have to find the reciprocal of the second number. Reciprocal means to flip the fraction. The reciprocal of 5/3 is 3/5.
3) Finally, we just have to multiply 13/9 and 3/5 which is 39/45. 39/45 in simplest form is 13/15.
Hope this helps! :D
Solve.
2x – (3 – x) > x + 1
Answer:
x>2
Step-by-step explanation:
2x-3+x>x+1
3x-3>x+1
2x>4
x>2
The graph represents the speed at which Pete's marble travels.
The speed of Stephano's marble is represented by the equation f = 2.25s, where fis the distance in feet and s is the time in seconds.
Whose marble will reach the 6-foot mark sooner?
Answer:b
Step-by-step explanation:
Answer: Stephano's marble will reach the mark sooner.
HELP IN ONE HOUR AND I GIVE U THE BRIANLIEST
Calculate the area of the floor:
Area = 1.6 x 2.3 = 3.68 square meters
Using the given formula: Pressure = force/area
200 = force / 3.68
Solve for force by multiplying both sides by 3.68
Force = 200 x 3.68
Force = 736 N/m^2
Correct to the nearest 5N/m^2 = 735 N/m^2
First of all we need to calculate the area of the floor and then we will find the pressure using the formula for pressure...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Area of floor ↯
Length = 1.6 meterBreadth = 2.3 meter[tex] \sf \: area = length \times breadth[/tex]
[tex] \sf \: area = 1.6 \times 2.3[/tex]
[tex] \sf \: area = 3.68 \: {m}^{2} [/tex]
[tex]\purple{ \rule{300pt}{3pt}}[/tex]
Finding force ↯
Pressure = 200 N/m²Area = 3.68 m²[tex] \tt \: pressure = \frac{force}{area} [/tex]
[tex] \tt \: 200 = \frac{force}{3.68} [/tex]
[tex] \tt \: force = 200 \times 3.68[/tex]
[tex] \tt \: force = 736 \: newton[/tex]
Thus, The maximum force is 736 Newton...~
Need help I’m confused question is 7.50 per hour washing cars Graph the relationship between the number of hours Gilbert works and the total amount of money he earns .
Answer:
You would start your graph at (1,7.5) (2, 15) (3, 22.5) (4, 30) (5, 37.5)
Step-by-step explanation:
What you do is for every hour you add 7.50. I don' know how many hours you need to graph so I just gave you the first five, But you should start to see a pattern, just continue with the pattern and you will get it right! Hope this helps!
Solve for x:
A. 13
B. 14
C. 12
D. 11
[tex]\\ \sf\longmapsto \dfrac{BQ}{DQ}=\dfrac{RC}{CD}[/tex]
[tex]\\ \sf\longmapsto \dfrac{26}{39}=\dfrac{18}{x}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}=\dfrac{18}{x}[/tex]
[tex]\\ \sf\longmapsto 2x=54[/tex]
[tex]\\ \sf\longmapsto x=27[/tex]
Miss Alison drew a box and whisker plot to represent her students scores on a midterm test. James received 47 on the test. How does James score compare to his classmates?
Answer: A
Step-by-step explanation:
About 25% scored higher; about 75% scored lower.
What value for k would make the following equation have all solutions? k(x - 6) = 18 - 3x
*Answer Choices*:
k = -3
k = 6
k = -6
k = 3
Answer:
Your answer is: A) k = -3
Step-by-step explanation:
Hope this helped : )
3. Convert 3.4 miles to yards.
53,856 yards
5984 yards
1553 yards
O 1760 yards
Answer:
5894
Step-by-step explanation:
1 mile is 1760
so multiply 1760 by 3.4
What is the value of the expression 30 - 9+ 3 - (12 = 4)?
Answer:
21
Step-by-step explanation:
30 - 9 +3
30 - 12
18
18 - 12=4
12/4 = -3
18 - -3
21
the answer is 21
30 - 9 = 21
21 + 3 = 24
12 divided by 4 = 3
24 - 3 = 21
21 is the answer once again
What value of x is in the solution set of 9(2x + 1) < 9x - 18?
04
0 -3
0 -2
0-1
Let's solve for x
9(2x+1) < 9x - 18
18x+9 < 9x-18
18x-9x < -18-9
9x < -27
x < -27/9
x < -3
Any value smaller than -3 is in the solution set
That means we have {-4, -5, -6, ...} as our solution set if x was only allowed to be an integer.
We can rule out choices B through D because of this. Only choice A remains, which I'm assuming you meant to say -4 instead of simply 4. If choice A says -4, then this is the answer.
If it doesn't say -4, then that isn't the answer and none of the answer choices work.
Note: if your original inequality is [tex]9(2x+1) \le 9x-18[/tex] then it solves to [tex]x \le -3[/tex] allowing x = -3 to be part of the solution set now. If you have an "or equal to" then that means B) -3 is the answer.
It seems like there might be a typo somewhere so I would double check.
The graph below shows the relationship of the
amount of time (in seconds) to the distance (in
feet) run by a jaguar.
What does the point (5,290) represent in the
context of the situation?
The point (5, 290) denoted that the jaguar has run a distance of 290 feet in 5 seconds.
Jaguar speed is 58 feet per second.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Each point on the graph denotes the speed of the jaguar.
Point (5, 290) denotes that in 5 seconds the jaguar has run 290 feet.
The speed of the jaguar.
= Distance / Time
= 290/5
= 58 feet
Thus,
The speed of the jaguar is 58 feet per second.
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50 POINTS FOR CORRECT AWNSER!
Answer:
[tex]y\leq \dfrac12x+3[/tex]
Step-by-step explanation:
Choose 2 points on the line: (-6, 0) and (0, 3)
Let [tex]\sf (x_1,y_1)=(-6,0)[/tex]Let [tex]\sf (x_2,y_2)=(0,3)[/tex][tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-3}{-6-0}=\dfrac12[/tex]
point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=\dfrac12(x-(-6))[/tex]
[tex]\implies \sf y=\dfrac12x+3[/tex]
Solid line : ≤ or ≥
Dashed line: < or >
Therefore as the line is solid, and the shading is below the line,
[tex]\implies \sf y\leq \dfrac12x+3[/tex]
Slope:-
[tex]\\ \tt\Rrightarrow m=\dfrac{4-3}{2}=1/2[/tex]
Equation of line in point slope form
[tex]\\ \tt\Rrightarrow y-3=1/2x[/tex]
[tex]\\ \tt\Rrightarrow y=1/2x+3[/tex]
Equation of shaded region
[tex]\\ \tt\Rrightarrow y\leqslant 1/2x+3[/tex]