Let [tex]e[/tex] and [tex]r[/tex] be the number of elves and reindeers, respectively.
We know that:
[tex]r+e=14[/tex] (so far 14 of them have arrived)
[tex]4r+2e = 38[/tex](each reindeer has 4 legs and each elf has two)
If we multiply the first equation by 2 we have [tex]2r+2e=28[/tex], and if we subtract this equation from the second we have [tex]2r=10[/tex] which implies [tex]r=5[/tex].
So, there are 5 reindeers and 9 elves (remember that they have to sum up to 14).
The number of reindeers is 5 and the number of elves is 9.
Two equations can be derived from the equation:
e + r = 14 equation 1
2e + 4r = 38 equation 2
Where:
e = number of elves at the meeting
r = number of reindeers at the meeting
In order to determine the value of r, multiply equation 1 by 2.
2e + 2r = 28 equation 3
Subtract equation 3 from 2
2r = 10
Divide both sides of the equation by 2
r = 5
To solve for e substitute for r in equation 1
5 + e = 14
e = 14 - 5
e = 9
A similar question was answered here: brainly.com/question/23589883?referrer=
PLEASE HELP PLEASEEEEEE
Answer:1) 9/8×4/3
2)9/8÷3/4
3)3/2
Step-by-step explanation:
The domain of the function f(x) = -2x is restricted to the positive integers. Which values are elements of the range?
2
-4
0
-6
4
-2
6
9514 1404 393
Answer:
{-6, -4, -2}
Step-by-step explanation:
If the domain is positive integers, the range is negative even integers. The only ones on the list are ...
-2, -4, -6
The owner of a small local bakery wants to determine how many fruit-filled pastries she should bake each day. Each pastry costs $.60 to make and sells for $1.00 each. Each pastry that is not sold at the end of the day is sold the next day for $.30 as day-old merchandise. She has determined that her average daily sales of this type of pastry are 193, with a daily standard deviation of 41. Flag this Question Question 114 pts What is the value of Co
This question is incomplete, the complete question is;
The owner of a small local bakery wants to determine how many fruit-filled pastries she should bake each day. Each pastry costs $.60 to make and sells for $1.00 each. Each pastry that is not sold at the end of the day is sold the next day for $.30 as day-old merchandise. She has determined that her average daily sales of this type of pastry are 193, with a daily standard deviation of 41. Flag this Question Question 114 pts
-What is the value of Co
-What is the value of Cu
Answer:
- the value of the cost overage Co is $ 0.3
- the value of the cost shortage Cu is $ 0.40
Step-by-step explanation:
Given that;
Revenue per unit R = $ 1.00
Cost per Unit C = $ 0.60
Salvage value per unit S = $ 0.30
Mean Demand μ = 193
Standard Deviation of demand σ = 41
-To get the value of our cost overage Co;
we simply say
Co = Cost per Unit C - Salvage value per unit S
Co = 0.6 - 0.30 = 0.30
therefore the value of the cost overage Co is $ 0.30
- To find the value of Cost Shortage Cu;
Cu = Revenue per unit R - Cost per Unit C
Cu = 1.00 - 0.60 = 0.40
therefore the value of the cost shortage Cu is $ 0.40
9. Jack has $5.90 in spare change in his pocket. All of the coins are nickels and quarters. If
he has 50 coins total, how many of each coin does he have? (Use a system of equations
to solve algebraically. Identify your variables.)
Answer:
33 nickels, 17 quarters
Step-by-step explanation:
q=quarters, n=nickels
Since total number of coins = 50 and he only has quarters and nickels,
q + n = 50.
Since a quarter is 0.25 dollars, a nickel is 0.05 dollars, and his total is $5.90,
0.25q + 0.05n = 5.90
Multiply the entire second equation by -4 to get -q and eliminate q from both equations: -4(0.25q + 0.05n = 5.90)
So, q + n = 50
And -q -0.2n = -23.6
Cancel q's and add down to combine both equations, so 0.8n = 26.4
Solve for n by dividing 0.8 by both sides, so n = 33
Plug n back into the first equation: q + 33 = 50 and q is thus 17.
Hope this helps!
41°
40°
X
X
O 40
39
0 41
Answer:
39
Step-by-step explanation:
just had it.
0.2(3a + 6b) use distributive property
Answer:
0.6 a + 1.2 b
Step-by-step explanation:
I need the answer ASAP! Please help me!
Answer:
Please check the explanation.
Step-by-step explanation:
Determining the length of BC
From the diagram, it is clear that
The point B is located at (-8, 10) and point C is located at (8, 10)Since points A and C are located on a horizontal straight line. Thus, the length of BC can be determined by counting the x-axis units from reaching x = -8 to x = 8. i.e. 8-(-8) = 8+8 = 16
Thus, the length of BC = 16 units
Determining the length of CD
Given
C (8, 10) D (2, -2)The distance between C(8, 10) and D(2, -2)
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]CD=\sqrt{\left(2-8\right)^2+\left(-2-10\right)^2}[/tex]
[tex]=\sqrt{6^2+12^2}[/tex]
[tex]=\sqrt{36+144}[/tex]
[tex]=\sqrt{180}[/tex]
[tex]=\sqrt{36\times 5}[/tex]
[tex]=6\sqrt{5}[/tex]
Thus, the length of CD [tex]=6\sqrt{5}[/tex] units
Determining the length of ED
Given
E (-8, -4) D (2, -2)The distance between E(-8, -4) and D(2, -2)
[tex]ED=\sqrt{\left(2-\left(-8\right)\right)^2+\left(-2-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{10^2+2^2}[/tex]
[tex]=\sqrt{100+4}[/tex]
[tex]=\sqrt{104}[/tex]
[tex]=\sqrt{26\times \:4}[/tex]
[tex]=2\sqrt{26}[/tex]
Thus, the length of ED [tex]=2\sqrt{26}[/tex] units
Determining the length of EB
From the diagram, it is clear that
The point E is located at (-8, -4) and the point B is located at (-8, 10)Since points E and B are located on a vertical straight line. Thus, the length of EB can be determined by counting the y-axis units from reaching y = -4 to y = 10. i.e. 10-(-4) = 10+4 = 14
Thus, the length of EB = 14 units
What is the measure of EF and m
Answer:
EF=18 inches
Measure of angle F = 134
Step-by-step explanation:
It's an isosceles triangle because the two given angles are equal. So, hypothetically, if you flipped the triangle to have side EG on the ground, then given the rules of isosceles triangles, side EF is equal to side GF.
To find the angle of F just add the given angles and substract from 180
PLEASE HELP!! FAST 20 POINTS
help please I do not know how to do this
Answer:
0 and 1
Step-by-step explanation:
If a polynomial P(x) is divided by (x + h), then by the Remainder theorem
The remainder is the value of P(- h)
(1)
For P(x) divided by (x - 1) , then the remainder is P(1) = 0
(2)
For P(x) divided by (x + 2) then the remainder is P(- 2) = 1
write an expression to represent f(20)
Answer:
Tommy has f amount of marbles. His wife has 20 times Tommy's amount.
Step-by-step explanation:
f×20
What is the solution to the following system x+y+z=6 and x-y+z=8 and x+y-z=0
Answer:
[tex]\boxed{x = 4, ~y = -1,~ and~z = 3}[/tex]
.
Step-by-step explanation:
(eq-1) → x + y + z = 6
(eq-2) → x - y + z = 8
(eq-3) → x + y - z = 0
.
Eliminate eq-1 and eq-3
[tex]x + y + z = 6[/tex]
x + y - z = 0
[tex]2z = 6[/tex]
[tex]z = \frac{6}{2}[/tex]
[tex]z = 3[/tex]
.
Eliminate eq-1 and qe-2
[tex]x + y + z = 6[/tex]
x - y + z = 8
[tex]2y = -2[/tex]
[tex]y = \frac{-2}{2}[/tex]
[tex]y = -1[/tex]
.
Substitute the value of z and y to on of equations
[tex]x + y + z = 6[/tex]
[tex]x + (-1) + 3 = 6[/tex]
[tex]x + 2 = 6[/tex]
[tex]x = 6 - 2[/tex]
[tex]x = 4[/tex]
Answer:
The solution for the following system is: [tex]\mathbf{x=4, y=-1, z=3}[/tex]
Step-by-step explanation:
We need to find the solution to the following system.
[tex]x+y+z=6 \ and \ x-y+z=8 \ and \ x+y-z=0[/tex]
Let:
[tex]x+y+z=6 --eq(1)\\ x-y+z=8 --eq(2)\\ x+y-z=0--eq(3)[/tex]
Adding eq(1) and eq(2)
[tex]x+y+z=6 \\x-y+z=8 \\-------\\2x+2z=14 --eq(4)[/tex]
Adding eq(2) and eq(3)
[tex]x-y+z=8 \\ x+y-z=0\\-------\\2x=8\\x=8/2\\x=4[/tex]
We get value of x=4
Now, putting value of x in eq(4) to find value of z
[tex]2x+2z=14\\Put x=4\\2(4)+2z=14\\8+2z=14\\2z=14-8\\2z=6\\z=6/2\\z=3[/tex]
We get value of z=3
Now, putting value of x and z in eq(1) to find value of y
[tex]x+y+z=6\\Put \ x=4, z=3\\4+y+3=6\\y+7=6\\y=6-7\\y=-1[/tex]
So, value of y=-1
The solution for the following system is: [tex]\mathbf{x=4, y=-1, z=3}[/tex]
Water is leaking out of an inverted conical tank at a rate of 10700 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 26 centimeters per minute when the height of the water is 2.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Solution :
The diameter of the tank = 3 m = 300 cm
Radius of the tank = 1.5 m = 150 cm
Height of the tank = 8 m = 800 cm
The rate of increase of height of water level = 26 cm/min
∴ [tex]$\frac{dh}{dt} = 20 \ cm/min$[/tex]
The water is leaking at a rate of = 10700 cubic centimeters per min
∴ rate out = 10,700 [tex]$cm^3 / cm $[/tex]
At time 't', the height of water level is 'h' with radius 'r' and volume 'V'.
By the property of similarity of triangles we can write
[tex]$\frac{h}{r} = \frac{800}{150} $[/tex]
[tex]$\frac{h}{r} = \frac{16}{3} $[/tex]
[tex]$r = \frac{3}{16}h$[/tex]
Volume of water at time 't' is given as
[tex]$V= \frac{1}{3} \pi r^2 h $[/tex]
[tex]$V= \frac{1}{3} \pi \left(\frac{3}{16}h\right)^2 h $[/tex]
[tex]$V =\frac{3}{256} \pi h^3$[/tex]
Now differentiating w.r.t 't'
[tex]$\frac{dv}{dt} = \frac{9}{256} \pi h^2 \frac{dh}{dt}$[/tex]
The rate of increase in tank = rate of inward flow - rate of outward flow
[tex]$\frac{dv}{dt} $[/tex] = rate of inward flow - 10,700
rate of inflow = 10,700 + [tex]$ \frac{9}{256} \pi h^2 \frac{dh}{dt}$[/tex]
Substituting the values we get
rate of inflow = 10,700 + [tex]$ \frac{9}{256} \times 3.14 \times (250)^2 \times 26$[/tex]
∴ rate of inward flow = [tex]$1.9 \times 10^5 \ cm^3/min$[/tex]
6. To solve 3 3/4 + r = 5 3/8, use the
property of equality.
A) addition
B) subtraction
C) multiplication
division
HELP it’s number 6. problem
Answer:
B
Step-by-step explanation:
3 3/4 +r _3 3/4= 5 3/8_3 3/4
which statements are true about points A, B, and C? check all that apply.
Answer:
2
Step-by-step explanation:
2 seems to be the only one that is correct
Correct Statements: (modified the statements that are incorrect)
1. The coordinates of point A are (-3, 3)
2. Already correct
3. The coordinates of point C are (-2, -2)
4. Point B is the closest to the y-axis (only one away)
5. Point A is 3 away and Point B is 1 away
(sorry if this is confusing but this is what I got)
Which shows a rational number plotted correctly on a number line?
A number line going from negative 8 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative 3.5 is plotted on the mark 1 space to the left of 4.
A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.
A number line going from negative 10 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 7 Over 2 EndFraction is plotted on the mark labeled negative 6.
A number line going from negative 2 to positive 8 in increments of 2. StartFraction 9 Over 2 EndFraction is plotted on the mark 1 space to the left of 4.
Answer:
A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.Step-by-step explanation:
A number line going from negative 8 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative 3.5 is plotted on the mark 1 space to the left of 4.
Incorrect. - 3.5>-4 and should be to the right of -4A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.
Correct. -21/2 = -10.5 < -10 is one space to the left of -10A number line going from negative 10 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 7 Over 2 EndFraction is plotted on the mark labeled negative 6.
Incorrect. -7/2 =-3.5 > -4 should be to the left of -4.A number line going from negative 2 to positive 8 in increments of 2. StartFraction 9 Over 2 EndFraction is plotted on the mark 1 space to the left of 4.
Incorrect. 9/2 = 4.5 > 4 should be to the right of 4.Answer:
B
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
Each person who applies for an assembly job at Robert’s Electronics is given a mechanical aptitude test. One part of the test involves assembling a plug-in unit based on numbered instructions. A sample of the length of time it took 42 persons to assemble the unit was organized into the following frequency distribution. Length of Time (in minutes) Number 1 up to 4 4 4 up to 7 8 7 up to 10 14 10 up to 13 9 13 up to 16 5 16 up to 19 2 What is the standard deviation (in minutes)? 17.00 6.01 3.89 8.78
Answer:
3.89 minutes
Step-by-step explanation:
Firstly, we have this in a table using the range
There are 6 ranges
We put the frequency alongside
Afterwards we calculate the midpoint of the range
For example, midpoint of range 1-4 is (1+4)/2 = 5/2 = 2.5
We multiply the midpoint by the frequency which gives another column
Then we calculate the mean, where the mean is the summation of all frequencies and their midpoints
We subtract each midpoint from the mean, square the results, then multiply each by their frequency
Lastly, we apply the standard deviation formula
Please check attachment for the tabular representation and formulas
Would the space in between 2 transversals be an interior angle?
Answer:
When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°. so yes
Step-by-step explanation:
PLEASE HELP !! picture is included !!
Consider the figure below. If ∆ABC is translated using the vector (x, y)→(x−3, y+3), then rotated 180° about the origin, what will be the x-coordinate of C’ ?
Answer: -7
Step-by-step explanation:
I’m doing the test
Help it’s 6 grade math
Answer:
the mean is 55.6; if she redid the D and F papers the mean would increase because you would get a higher average than before. Higher scores mean that the number that you add are larger evidently ending up in a larger value
Step-by-step explanation:
if you want to find mean, all you do is add the numbers together and then divide by the total number of values that you added.
so this would be 74+12+61+86+45 and that is 278. Then there is a total of 5 so you divide 278 by 5 which gives you 55.6.
what is the cube root of -3375?
Kathy sells lotion. For each bottle she sells she gets paid $3. If Kathy said 48 bottles at a trade show last weekend, and another 30 bottles this weekend, how much money would Kathy make?
Answer:
234
Step-by-step explanation:
48 x 3=144
30 x 3=90
144+90=234
In a recent News, it was reported that light trucks, which include SUV’s , pick-up trucks and minivans, accounted for 40% of all personal vehicles on the road in 2012. Assume the rest are cars. Of every 100,000 cars accidents, 20 involve a fatality; of every 100,000 light trucks accidents, 25 involve a fatality. If a fatal accident is chosen at random, what is the probability the accident involved a light truck?
Answer:
45.45%Step-by-step explanation:
Light tracks = 40% = 0.4Cars = 60% = 0.6Fatal accidents involving light tracks:
25/100000 = 0.00025Fatal accidents involving cars:
20/100000 = 0.0002Probability of a fatal accident involving a light track:
p = involving light tracks /involving both cars and light tracksp = 0.4*0.00025/(0.4*0.00025 + 0.6*0.0002) = 0.4545 p = 45.45%Help quick please algebra one
Answer:
b. (5,-2)
Step-by-step explanation:
When we substitute the x and y values into the equation and simplify the equation we end up with these equations:
-2 ≤ 0
-2 ≥ -9
Once simplified, the equations are proven to be correct.
(I hope this helps)
Answer:
The answer is B, (5,-2)
Step-by-step explanation:
If you input the x and y values from (5,-2) into the system on inequalities both the equations end up being true, while all the other make one or more solution set incorrect when you input the x and y values.
The graph represents the journey of a bus from the bus stop to different locations Bus Journey 4 Distance (miles) La 5 X Time (hours) Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey (4 points) Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points) Part C: Is the graph linear or non-linear? Explain your answer (2 points)
Answer: if the bus takes 5 hours to go the distance then it will take the y,x distances to go the 5 hours.
Step-by-step explanation:
pls help me with this!
Answer:
(25 and 8) = 200
(32,24 and 18) =288
(22 and 4)=44
(14 and 12) = 84
(9,8 and 7)= 504
(27,12 and 36) =108
There are 25 girls and 28 boys what is the ratio of the boys and the girls
Answer:
Ratio of Boys : 28/53
Ratio of Girls : 25/53
Step-by-step explanation:
Girls : Boys
25 : 28
(Add them up) 25 + 28 = 53
53 = Total of both B & G
Hope this helps. :)
The cashier counts 80 bills, all with the same value. She gets a total of $800. What is the value of each bill?
help
PLZ Help!!! Best answer gets Brainliest!!!
Answer:
yes it is a proportional relationship
Step-by-step explanation:
:) gl!