Answer:
44.805 kg
Step-by-step explanation:
Step 1
Convert mg to kg
Caroline weighs 41,390,000 mg
1 mg = 0.000001 kg
41,390,000 mg = x
x = 41,390,000 mg × 0.000001 kg
= 41.39 kg
Step 2
Converting her baby sister weight to kg
1000g = 1 kg
3415 g = x
Cross Multiply
1000x = 3415g × 1 kg
x = 3415g × 1 kg/1000
x = 3.415 kg
Therefore, the total weight in kilograms is
41.39 kg + 3.415 kg
= 44.805 kg
A pair of equations is shown below: y = 2x − 1 y = 4x − 5 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)
WORTH 100 POINTS
Answer:
Solution given:
x=2
y=3
The requried solution to the pair of equations is (2, 3).
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Part A: To solve the pair of equations graphically, we need to plot both equations on the same coordinate plane. To plot each equation, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
For the equation y = 2x - 1, the slope is 2 and the y-intercept is -1. For the equation y = 4x - 5, the slope is 4 and the y-intercept is -5. We can plot these two lines on the same coordinate plane and find their intersection point.
Part B: We can find this point by setting the two equations equal to each other and solving for x:
2x - 1 = 4x - 5
Subtracting 2x from both sides, we get:
-1 = 2x - 5
Adding 5 to both sides, we get:
4 = 2x
Dividing by 2, we get:
x = 2
Now that we have found the value of x, we can substitute it into either equation to find the value of y. Using the equation y = 2x - 1, we get:
y = 2(2) - 1
y = 3
Therefore, the solution to the pair of equations is (2, 3).
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Mark makes $60 for every six hour shift he works. How much will he make if he works an eight hour shift
Answer:
Mark will make $80 if he works an eight-hour shift.
Step-by-step explanation:
For every six hour shift he works, Mark makes $60
This implies that for every hour, he makes $10 ($60/6)
Therefore, for working an eight-hour shift, Mark will make $80 ($10 * 8) or ($60/6 * 8).
We can conclude that Mark's employer pays him $10 per hour.
This hourly rate can be used to work out how much Mark will earn if he works for a month or a year, as the case may be.
The diameter of a circle is 4 yards. What is the circle's area?
Use 3.14 for n.
square yards
Area of a circle formula: area = pi x r^2
R is the radius which is 1/2 the diameter.
The diameter is 4 yards so the radius is 4/2 = 2 yards.
Area = 3.14 x 2^2
Area = 12.56 square yards.
Please help. Give all 3 expressions.
Answer:
(15/100*percentage fee* x O*Original price* + C*car price*)
1 expression: (15/100 x O) + C
2 expression: (15/100 + C) x (O + C)
3 expression: C + (O x 15/100)
ASAP
-WILL MARK BRIANiST
What sequence of transformation takes A to its image, B?
A, Reflection over the x-axis and translation 2 units down
B, reflection over the y-axis and translation 2 units down
C, translation 2 units down and 90* rotation about the origin
D, translation 12 units right and 90* rotation about the origin
Answer:
C
Step-by-step explanation:
If a,b,c are all non-zero numbers and a+b+c=0, prove that
[tex]a ^{2} / bc + b²/ac + c²/ab = 3[/tex]
no spam and kindly explain your answer!
Given - a+b+c = 0
To prove that-
a²/bc + b²/ac + c²/ab = 3
Now we know that
when x+y+z = 0,
then x³+y³+z³ = 3xyz
that means
(x³+y³+z³)/xyz = 3 ---- eq 1)
Lets solve for LHS
LHS = a²/bc + b²/ac + c²/ab
we can write it as LHS = a³/abc + b³/abc + c³/abc
by multiplying missing denominators,
now take common abc from denominator and you'll get,
LHS = (a³+b³+c³)/abc --- eq (2)
Comparing one and two we can say that
(a³+b³+c³)/abc = 3
Hence proved,
a²/bc + b²/ac + c²/ab = 3
A rectangular piece of paper with length 35 cm and width 14 cm has two semicircles cut out of it, as shown below.
Find the area of the paper that remains. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit
Answer: 336.14 cm²
Step-by-step explanation:
To find the area of the rectangle after being cut, we want to find the area of the two semicircles and subtract it from the area of the rectangle. The area of the rectangle is just base times height, or 35cm times 14cm = 490cm² . Since there are two semicircles with the same diameter, we can just solve for the area of a circle and subtract it. To find the area of the circle, we need the radius, which we get by dividing the diameter by 2. After that, we calculate the radius to be 7cm, squared and multiplied by 3.14 (area of a circle) to get 153.86 cm². Subtract the areas, and we get 490 - 153.86 = 336.14 cm²
plzzzzzzzzzzzzz help meeeeeeeee
Answer:
D. 1,000
Step-by-step explanation:
According to the graph, what is the value of the constant in the equation
below?
Answer:
The value of the constant in the equation below is 20.
Step-by-step explanation:
You are given the formula height = constant/width. All you have to do is take one of the points given on the graph and plug it in to the formula.
Example:
1 = Constant/20
Constant = 20
As per linear equation, the Constant in the given graph is 20.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.
Here, Height = Constant/Width
Therefore, Constant = Height × Width
We can take any two random points given on the graph.
Two points are (5, 4) and (20, 1).
For the first point,
Height = 4, Width = 5.
Therefore, Constant = 4 × 5 = 20
For the second point,
Height = 1, Width = 20.
Therefore, Constant = 1 × 20 = 20
Therefore, Constant in the given graph is 20.
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Evaluate f(x) when x=-4
Answer: :(−7−√132,0),(−7+√132,0)
Given a bag of 4 red marbles, 5 blue marbles and 6 green marbles, find the probability of
drawing a blue marble and then drawing another blue marble without replacing the first
one.
Please help me!!!
Answer:
Step-by-step explanation:
Probability of drawing a blue marble
= Number of blue Marble/ Total number of marble
= 5 / 4 + 5 + 6
= 5 / 15
= 1/3
Probability of taking another blue marble without replacing the first one
= Number of blue marble - 1 / Total number of marble - 1
= 5 - 1 / 15 - 1
= 4 / 14
= 2/7
find the loss if cp= Rs550 sp= Rs494
Answer:
loss =Rs 56
Step-by-step explanation:
loss =cp-sp
550-49456stay safe healthy and happy.I knew how to do this but I forgot
Answer:
The answer would be C.
Step-by-step explanation:
C. 2 3/4
PLEASE HELP...
Find the area of the composite shape. Show your work for BRAINLIST and if it’s correct
10.38
i multiplied each number and the answers that i got i added them to get the area
Kayla bought a necklace on sale for 35% off. What
was her total cost if the original price was $60.00?
Answer:
$39
Step-by-step explanation:
60 x 0.39 = 21
60 - 21 = 39
Kayla bought a necklace on sale for $39.
If a rectangle is 30 feet long and the perimeter is 78 feet. What would be the width of the rectangle?
Answer:
The width should be 9 feet in this situation
Step-by-step explanation:
(30 x 2) + (9 x 2) =
60 + 18 =
78 ft
Or
78 - (30 X 2) =
78 - 60 =
18 / 2 =
9
While Dorothy had her garage sale, she kept track of how many toms sold within different price ranges. Look at the table and then give the relative frequency for the interval of 511 to $15. The relatie
frequency for $11 to 515
Frequency
Relative
Frequency
Interval
Sl to S5
S6 to S10
Sil to S15
S16 to $20
S21 to $25
S26 to 530
S31 to $35
8
6
4
2
4
6
2
Answer:
Interval $11 - $15 = 0.2
Step-by-step explanation:
Sum of frequency, Σf = (8+6+4+2+4+6+2) = 32
Relative frequency = f / Σf
Interval :
1 - 5 = 8 / 20 = 0.4
6 - 10 = 6 / 20 = 0.3
11 - 15 = 4 / 20 = 0.2
16 - 20 = 2 / 20 = 0.1
21 - 25 = 4 / 20 = 0.2
26 - 30 = 6 / 20 = 0.3
31 - 35 = 2 / 20 = 0.1
what is the mean absolute deviation of the following set 3 1 5 5 2 3 2 3 4 2
Answer:
30-3=27
Step-by-step explanation:
Finding the deviation of this is pretty simple
1) Find the mean
By finding the mean, you add the numbers together, and divide the sum by the number of numbers, in this case there are 10 numbers, so divide by 10
2) Subtract the data value, basically adding all of the numbers up, and subtracting it by 3, the mean.
the number sets:
3,1,5,5,2,3,2,3,4,2
mean=
30/10
by finding this, i added the numbers and divided it by the amount of numbers.
This would equal to 3.
Now, all you have to do is subtract 3 from the data value
The data value is 30, subtracted by 3 would be 27
Sorry if I am wrong, I am just 4th grade :(
I am sure I am right, but in case it IS wrong, use the formula in the explanation :)
I might've gotten it wrong because the numbers were unclear, but I think it is correct:)
Answer: 1
Step-by-step explanation:
3+1+5+5+2+3+2+3+4+2= 30
30/10 =3
3 - 3 =0
3 - 1 = 2
3 - 5 =2
3 - 5 =2
3 - 2 = 1
3 - 3 =0
3 - 2 = 1
3 - 3 = 0
3 - 4 = 1
3 - 2 = 1
0+2+2+2+1+0+1+0+1+1
10/10 is 1
find x and round to the tenth if needed.
Answer:
I don't know I'm really sorry please don't be angry
and if you want my social media cause your angry I'll give
PLEASE HELP FOR FINALS!!!!!!
Let sd be the speed (in meters per second) of an object after t seconds of motion.
Explain the meaning of each statement.
3. s (0) = 9
b. s(9) =k
c. s(10) > (20)
Answer:
If I say to you that we are travelling along at a "constant" speed of 25 m/s... a. ... So every seem 28 mis covend. b. What does the "m/s" after the number 25 mean? ... The object's motion will change - au acceleration will occur. 9. A car is moving ... c. What do you think a graph of velocity versus time would look like? Sketch it.
Step-by-step explanation:
With the return of the $8 deopsite, the total rental fee came to $8 less that 2 times the hourly rate answer
Answer:
$8
Step-by-step explanation:
Let the hourly rentals be x
Let the total fee be y
Initial Deposit $8
The expression for the total is given as
y= 8+x
But y= 2x-8
Therefore
2x-=8+x
Collect like terms
2x-x=8
x=8
Hence the hourly rate is $8
Find the missing length of the right triangle.
Answer:
20
Step-by-step explanation:
the pythagorean theory a^2 + b^2 = c^2
16^2 + 12^2 =
144 + 256 = 400
sqr root of 400 is 20
:)
Pply the converse of the pythagorean theorem to determine if it's a right triangle. Is the triangle a right triangle? No, 92+402=412. No, 9 squared + 40 squared not-equals 41 squared Yes, 92+402=412. Yes, 9 squared + 40 squared not-equals 41 squared
Answer:
Yes, 9^2+40^2=41^2
Step-by-step explanation:
From the Pythagoras’ theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides
From what we have , the side lengths are 9, 40 and 41
As we can see, 41 is the longest side length and that makes it the hypotenuse
The square of the two other sides is 40^2 + 9^2 = 1,681
Also, 41^2 = 1,681
As we can see, the sum of the squares equal the square of the hypotenuse
Since this follows the theorem, we can conclude that the triangle is a right triangle
Answer:
C, Yes, 92+402=412.
Step-by-step explanation:
A garden hose is 15 yards long. What is the length of the hose in inches?
Answer:
540 inches
Step-by-step explanation:
each yard is 3 feet in 1 foot is 12 inches 12 times 3 is 36 so 15 times 36 gives you 540 inches
brainliest plz
How many 1/4 pound packages of cheese can the deli make with 12 pounds of cheese
Answer:
48 1/4 packages
Step-by-step explanation:
Find h.
10 in.
h = [?] in.
5.
4 in.
PLEASE ILL DO ANYTHING
Answer:[tex]h=\sqrt{96}in.[/tex]
Step-by-step explanation:
.
The distance around the inner circle of a
rubber tyre is 220 cm.
a. Find the inner radius.
b If the thickness of the tyre is 14cm, find
the distance around the outside of the
Areas of rectangles
Answer:
inner circle is 44ft and outer circle is 3ft
What is the media for my test pls help me and I’m new to this app
Answer:
17
Step-by-step explanation:
Answer: the answer is 17
Step-by-step explanation:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
joe has a bicycle with a front wheel that is 2 feet in diameter. how far does joe travel if his wheel turns exactly 100 complete revolutions in one directions?
314 feet
628 feet
1256 feet
6280 feet
Given:
The diameter of the wheel is 2 feet.
Number of revolution = 100
To find:
The total distance covered by the bicycle.
Solution:
The circumference of a circle is:
[tex]C=2\pi r[/tex]
Where, r is the radius of the circle.
The diameter of the wheel is 2 feet. So, the radius of the circle is 1 feet.
Putting [tex]\pi =3.14, r=1[/tex] in the above formula, we get
[tex]C=2(3.14)(1)[/tex]
[tex]C=6.28[/tex]
It means the distance covered by the wheel in one revolution is 6.28 feet.
Number of revolution is 100. So, the total distance covered by the wheel in 100 revolution is:
[tex]6.28\times 100=628[/tex]
The total distance covered by the bicycle in 100 revolution is 628 feet.
Therefore, the correct option is B.