There are 37 elves are helping Santa by solving both the equations x + y=58 and 4x+2y=158 the concept of equations.
What is equation?Equations are mathematical expressions that have two algebraic expressions on either side of an equals (=) sign. This relationship is illustrated by the left and right expressions being equal to one another. L.H.S = R.H.S is the first term in every mathematical equation.
According to the question we assume the number of reindeer are x and number of elves are y.
Total 37 elves are helping Santa. There are a total of 58 reindeer and elves helping Santa get ready for Christmas hence the equation of given condition is as follows:
x + y=58
Each reindeer has 4 legs and each elf has 2 legs counted 158 legs when all the reindeer and elves were in Santa’s workshop helping Santa. Hence the equation of given condition is as follows:
4x+2y=158
By solving both the above equation multiplying first equation by 2
2x+2y=116
Subtract both the above equation
2x=42
x=21
Hence the number of reindeer are x=21
Inserting value of x in first equation gives y=37
The number of elves is y=37
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Simplify the expression by combining like terms.
Write the terms from the highest to the lowest
power of the variable.
Answer:
19y² - 6y - 8
Step-by-step explanation:
4y² + y² - 3y - 6 + 14y² - 2 + 4y - 7y
4y² + y² + 14y² - 3y + 4y - 7y - 6 - 2
19y² - 6y - 8
Answer:
19^2-6y-8
Step-by-step explanation:
4y^2+y^2-3y-6+14y^2+4y-7y
4y^2+y^2+14y^2-3y+4y-7y-b-2
Answer: 19y^2-6y-8
Hope it helps....
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Annabel is comparing the distances that two electric cars can travel after the battery is fully charged. Car A (miles) Car B (miles) Mean 145 200 Median 142 196 IQR 8 4 MAD 6 2 Part A Use the measures of center to make an inference about the data. Use the drop-down menus to complete your answer. Car A can travel further than Car B after the battery is fully charged. Part B Based on the data, which car performs most consistently? Explain. A. Car A because the measures of center are smaller for Car A than for Car B. B. Car B because the measures of center are smaller for Car B than for Car A. C. Car A because the measures of variability are smaller for Car A than for Car B. D. Car B because the measures of variability are smaller for Car B than for Car A.
Answer:
Car B can travel further than Car A after the battery is fully charged.
D. Car B because the measures of variability are smaller for Car B than for Car A.
Step-by-step explanation:
Car B can travel further than Car A after the battery is fully charged because Car A has lesser mean and median than Car B.
Median divides the data into two halves. A smaller median means that there is lesser mileage of Car A than Car B.
There are two measures.
Measure of center tells us how much near or far the data is spread from the center.
The mean , median and mode are the measures of center.
Car A has less mean , median telling us that it traveled less.
Measure of Variability tells us how data changes with a single value.
Smaller MAD means the data is denser at the mean. Car B has lesser MAD.
Smaller IQR tells us that data is closer to the middle of the data.
Car B has smaller IQR .
So car B traveled consistently as it has smaller IQR and MAD
D. Car B because the measures of variability are smaller for Car B than for Car A.
Answer:
Car B can travel further than Car A after the battery is fully charged.
D: Car B because the measure of variability is smaller for Car B than for Car A.
Step-by-step explanation:
68 less than 55 times a number is equal to the number.
I will make brainliest
Answer:
5x - 68 = x
Step-by-step explanation:
number = x
5x - 68 = x
Solve for x:
5x - 68 = x
-68 = x - 5x
-68 = -4x
68 = 4x
x = 68/4
x = 17
Answer:
55x-68 = x
Step-by-step explanation:
which table represents y as a function of x
Help!! Il give you brainlest
Answer:
ithink the first one :p
Step-by-step explanation:
matt and anglela have 40$ together angela has 5more$ than matt how much
money does matt have
Solve the following
5x20
Answer:
100
Step-by-step explanation:
1
20
X 5
100
An experiment was conducted by some students to explore the nature of the relationship between a person's heart rate (measured in beats per minute) and the frequency at which that person stepped up and down on steps of various heights. Three rates of stepping and two different step heights were used. A subject performed the activity (stepping at one of the three stepping rates at one of the two possible heights) for three minutes. Heart rate was then measured at the end of this period. The variables "stepping rate" and "step height" are the
A. factors.
B. levels.
C. controls.
D. units.
E. response variables.
Answer:
A. factors.
Step-by-step explanation:
The correct option is - A. factors.
Reason -
The variables "stepping rate" and "step height" are the factors because a activity is performed in which stepping at one of the three stepping rates at one of the two possible heights for three minutes.
The activity is based on both the variables stepping rate and step height.
What is the length of C'D'?
Answer:
C'D
Step-by-step explanation:
3 1 half plus 1 half .. and haii
Find the volume of the cylinder. Leave your
answer in terms of pi.
8 cm.
8 cm.
Aaron bought a stereo system for $55 and spends $8.45 on parts. He sells the system for
$60. What is his profit/loss?
Answer:
his loss is $3.45
Step-by-step explanation:
you just add then subtract
Please help!! Brainlyest!!
HEYYYY YOU YEA YOU!!!
whoever can come up with the best sentence to relate to this will get BRAINLIEST
Who here is sad because they hate school and school gives them depression because of the amount of work and because they are tired of seeing idiots around them and their whole existence just annoys you and sometimes you even imagine yourself running them over with a bus because they cant comprehend the fact that you just want them to rot in hell for all eternity for example they could just breath and then you give them the "stank look".....or is it just me....its not just me right?????
Answer:
I think that school is somewhat fun, now it is just straight up boring, and yeah sometimes I feel like there are not smart people, and there are weird people, so annoying, I wish they aren't there a lot, but hey, if you can, listen to music, and maybe make some time to do what you like so you can forget about school for a little and relieve your stressssss
I have to graph these. I don't understand!!! please just tell me if it's a closed circle and where I have to put it
Answer:
Okay so im gonna put the pictures here, it might look like spam but i promise you its not
Step-by-step explanation:
The numbers are in order from x > 7 to x < 2
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☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Determine the value of x. Round answer to the nearest hundredth. thank you to whoever helps! Will Be Marked as BRAINLIEST!
Answer:
34.61Step-by-step explanation:
Find the diagram attached
From the diagram;
Hypotenuse = 81.9
Angle of elevation = 65degrees
Required
The value of x (Adjacent)
Using the SOH CAH TOA identity
cos theta = adjacent/Hypotenuse
cos 65 = x/81.9
x = 81.9cos65
x = 81.9(0.4226)
x = 34.61
Hence the value of x to the nearest hundredth is 34.61
Mitch is making some bread dough. To make the bread dough, Mitch uses 5 1/2 cups of wheat flour, 1 3/4 cups of rice flour, and 2/3 cup of white flour. How many cups of flour, in total, does Mitch use? Show or explain all your work.
Answer: 7 11/12 cups of flour
Step-by-step explanation:
The number of cups of flour in total that Mitch uses will be gotten by adding the values for the cups for each type of flour that's used. This will be:
= 5 ½ + 1¾ + ⅔
= 5 6/12 + 1 9/12 + 8/12
= 6 23/12
= 6 + 1 11/12
= 7 11/12 cups of flour
The lenths of the 2 legs of right triangle abc show below are given in inches. The midpoint of ab is how many inches from A ?
Answer:
Option B
Step-by-step explanation:
The complete question is attached
As we can see in the image , ABC is a right angle triangle
Thus as per Pythagorean theorem, to find line AB
AB2 = 322 + 242
AB2 = 1024 + 576
AB2 = 1600
Taking square root of both the sides, we get –
AB = √1600
AB = 40
The mid point of AB = AB/2 = 40/2 = 20
Please help
40 points
Answer:
44.11
Step-by-step explanation:
you can use SOH-CAH-TOA to find the answer.
T has adjacent and hypotenuse shown in the figure.
thus you can write it as,
[tex]cos(x) = 28 \div 39[/tex]
[tex]x = cos^{ - 1} (28 \div 39)[/tex]
[tex]x = 44.11[/tex]
(you can round the answer differently )
Find the perimeter of the object
Help step by step please!
Answer:
29.42 units
Step-by-step explanation:
1) Find the perimeter around the semi-circle
To do this, we find the circumference of the circle using the given diameter:
[tex]C=\pi d[/tex] where d is the diameter
Plug in 6 as the diameter
[tex]C=\pi (6)\\C=6\pi[/tex]
Divide the circumference by 2
[tex]\frac{6\pi }{2} \\= 3\pi[/tex]
Therefore, the perimeter around the semi-circle is 3π units.
2) Find the perimeter around the rest of the shape
Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those vertical sides facing the right add up to 6. We also know that all of those horizontal sides facing up add up to 7. Please refer to the attached images.
Therefore, we add the following:
7+6+7
= 20
Therefore, the perimeter around that area of the shape is 20 units.
3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape
[tex]20+3\pi \\= 20+9.42\\= 29.42[/tex]
Therefore, the perimeter of the shape is approximately 29.42 units.
I hope this helps!
I really need help with this so if you can please help.
Answer:
I don't know if this is the correct answer but I tried:)
by the way what grade is this?
PLEASE HELP YOU’LL GET 15 POINTS
358.41x10^5 in standard form
Answer:
35,841,000
Step-by-step explanation:
358.41x10^5
Move the decimal 5 places to the right
35,841,000
GUYS ANYONE HERE I REALLY NEED HELP PLS! Find the area of the polygon with vertices D (-1, 2), E (2, 2), F (2, -1), and G (-3, -1). If necessary, round to the nearest tenth
Answer:
48 units
Step-by-step explanation:
1. graph
2. separate into a triangle and a square
3. the square is 6x6 squares, so 36 there
4. the triangle is 4x6, so (4x6)/2 is 12
5. 36+12 = 48 units
Plss I need this answer....pls help me. Explain this question and answer it.
Answer:
Figure three is the odd one out
Step-by-step explanation:
it is different from the other figures. The other figures are all the same, they're just rotated. Figure three is different from all of them though
if a triangle is dilated with a scale factor of 3, how do the sizes for the pre-image and image compare?
Answer:
Please check explanations
Step-by-step explanation:
When we dilate a particular figure, we are simply increasing the dimensions of its sides
By dilating the pre-image by a factor of 3, we are simply increasing the dimensions of it by a multiple of 3
so say for example, the base of the pre-image has a measure of 4 ft, the base of the image which is the pre-image dilated by a scale factor of 3 will be 4 ft * 3 = 12 ft
What this mean is that we have succeeded in tripling the dimension of the pre-image to give the dimension of the image
The numbers in the diagram below indicate the lengths of the sides of a triangle. Bernadette drew the following triangle and claims it is a right triangle.
State whether or not Bernadette is correct?
Answer:
It's not a right triangle, there isn't a right angle anywhere there.
Also, it's not applicable via pythagorean theorem
Step-by-step explanation:
Match the graph to its equation.
Answer: First one is A, 2nd one is B, 3rd one is C
Step-by-step explanation:
Please help, 15 points
Answer:
The answer is 10.
Step-by-step explanation:
The equation you are given is in slope-intercept form or y=mx+b where m is the slope and b is the y intercept. Your equation is y=10x, so the slope or m is 10.
How far the penguin can walk in 1 second
Not known. This varies because it depends on if the penguin is going full speed or not, and the size or even just the penguin itself because not all penguins walk the same speed.
Answer:
1 step? what speed?
8-7 test prep (will give brainliest!!!)
Answer54: A, 55: G, 56: D
Step-by-step explanation:
Answer:
54. 2cm
55. between 6 and 7
56. two irrational numbers
Step-by-step explanation:
Diana is throwing a ball across a 56-yard field she threw it 3/4 of the way across the field how far did diana throw the ball?
Answer:
71
Step-by-step explanation: