Rachel has a bag of fruit that has a mass of 50 hectograms. Rachel converts this mass to centigrams. Her work is shown below.
50 hg × 1,000 = 50,000 centigrams
A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.
What is Rachel’s error?
She should have multiplied by 10,000.
She should have divided by 1,000.
She moved the decimal point to the right.
She did not make an error.
Answers
Answer:
She should have multiplied by 10,000
Step-by-step explanation:
Given table:
\(\begin{array}{| c | c |}\cline{1-2} \sf kilo & 1,000 \\\cline{1-2} \sf hecto & 100 \\\cline{1-2} \sf deka & 10 \\\cline{1-2} \sf unit & 1 \\\cline{1-2} \sf deci & 0.1 \\\cline{1-2} \sf centi & 0.01 \\\cline{1-2} \sf milli & 0.001 \\\cline{1-2}\end{array}\)
To find the conversion rate:
\(\sf \dfrac{hecto}{centi}=\dfrac{100}{0.01}=10000\)
Therefore, 1 hectogram = 10,000 centigrams
So when converting hectograms to centigrams, multiply the mass by 10,000.
⇒ 50 hg × 10,000 = 500,000 centigrams
Rachel's error was that she should have multiplied by 10,000.
Answer:
1st one ( She should have multiplied by 10,000)
Step-by-step explanation:
Related Questions
Determine whether x=5 is a solution to the compound inequality shown below. Justify your answer.
x+8>11 and 2x-3<7
Answers
Answer:
no
Step-by-step explanation:
x + 8 > 11 = x > 3
2x - 3 < 7 = x < 5
\( \sqrt{121} \)
Answers
Answer: 11
Step-by-step explanation:
When you do square root, you're just finding the number that can be multiplied by itself to get what's inside the √ .
So, when you do √121 , you'll get 11. You can check your answer by going backwards: multiply 11 by itself.
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7. What value of c will make x2 – 20x + c
a perfect square trinomial?
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two customers took out home equity loans.
Cathy took out a 10-year loan for $20,000 and paid %5.20 annual simple interest
Steven took out a 15-year loan for 20,000 and paid %4.80 annual simple interest
what is the difference that Cathy and Steven paid for their loans?
Answers
The difference in the amount paid by Cathy and Steven is $4000.
What is the difference in the amounts?
Simple interest is when the interest that is paid on the loan of a customer is a linear function of the loan amount, interest rate and the duration of the loan.
Simple interest = amount borrowed x interest rate x time
Simple interest of Cathy = $20,000 x 0.052 x 10 = $10,400
Simple interest of Steven = $20,000 x 0.048 x 15 = $14,400
Difference in interest = $14,400 - $10,400 = $4000
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Aidan picks apples at the rate of 11 apples every minute.How many apples would he pick in 36 minutes
Answers
Answer:
396 apples
Step-by-step explanation:
11 x 36 = 396
I hope this helps :)
Which function has an inverse that is a function?
b(x)=x^2+3
d(x)=-9
m(x)=-7x
p(x)= |x|
Answers
Find the x- and y-intercepts.
−3x−y=15
Answers
y intercept is -15
The angle of elevation of the top of the building at a distance of 50m from its foot on a horizontal plane is found to be 60 degrees. Find the height of the building
Answers
The height of the building is approximately 86.60 meters.
To find the height of the building, we can use trigonometric ratios, specifically the tangent function.
In this scenario, the angle of elevation is 60 degrees, and the distance from the foot of the building to the point where the angle is measured is 50 meters.
Let's denote the height of the building as 'h'. According to trigonometry, the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.
In this case, the opposite side is the height of the building (h), and the adjacent side is the distance from the foot of the building (50 meters).
Using the tangent function, we have:
tan(60 degrees) = h/50
Simplifying this equation, we can solve for h:
h = 50 × tan(60 degrees)
Using a scientific calculator or trigonometric table, we find that tan(60 degrees) is approximately 1.732.
Therefore, h = 50 × 1.732 ≈ 86.60 meters.
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-5(2x + 6) + 9x = -32
Answers
Answer:
What is the question? It is incomplete
Step-by-step explanation:
Please mark as brainliest !!!!!
pppppllllllllllssssssss
Answer:
heres ur answer x=2
heres what i used to solve it PEMDAS
g a spinning wheel on a playground with a radius of 3 feet rotates 6 revolutions every 7 seconds. find the linear speed in feet/second of a point on edge of the wheel
Answers
The linear speed of a point on the edge of the wheel is approximately 18.857 feet/second.
What is the linear speed in feet/second of a point on edge of the wheel?To find the linear speed of a point on the edge of the spinning wheel, we need to calculate the distance traveled by that point in one second.
Given:
- Radius of the wheel (r) = 3 feet
- Number of revolutions per second (n) = 6/7 revolutions/second
To convert revolutions per second to radians per second, we need to multiply the number of revolutions by 2π (the conversion factor between revolutions and radians).
n (in radians/second) = (6/7) * 2π
Now, to calculate the linear speed (v) at the edge of the wheel, we can use the formula:
v = r * n
Substituting the values:
v = 3 feet * (6/7) * 2π radians/second
Simplifying:
v ≈ 3 * (6/7) * 2 * 3.14 feet/second
v ≈ 18.857 feet/second
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What kind of transformation takes place during a Reflection over the y axis.
A. (x,y) become (-x,-y)
B. (x,y) become (-x,y)
C. (x,y) become (-x,y) then become (y,-x)
D. (x,y) become (x,-y)
Answers
There are 450 walnuts in 9 bags. If each bag has the same number of walnuts, how many walnuts are in 3 bags?
Answers
Answer:
150
Step-by-step explanation:
Answer:
150 walnuts
Step-by-step explanation:
450= 9 x x= bags
450/3 = 150
9/3= 3
150 walnuts= 3x
Consider the heat conduction problem Uxx = Ut, 0 0, t> 0, u(x,0) = 60 - 2x, 0 < x < 30. Find the steady-state temperature distribution and the boundary value problem that determines the transient distribution.
Answers
In the heat conduction problem given, the equation Uxx = Ut represents the diffusion of heat in a one-dimensional material.
The initial temperature distribution is defined as u(x,0) = 60 - 2x, where x represents the position within the material.
To find the steady-state temperature distribution, we need to solve the boundary value problem.
The steady-state temperature distribution occurs when the temperature does not change with time. The transient distribution, on the other hand, describes the temperature variation over time.
To determine the transient distribution, we need to solve the partial differential equation Uxx = Ut, subject to the initial condition u(x,0) = 60 - 2x and appropriate boundary conditions.
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One more for today since I couldn’t find the answer
Answers
12 + -15 = -3
The first approximation of 537 can be written a b' where the greatest common divisor of a and bis 1, with a= type your answer... b = = type your answer...
Answers
The first approximation of 537 can be written as a = 536 and b = 1, where the greatest common divisor of a and b is 1.
In number theory, the greatest common divisor (GCD) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. In this case, since a = 536 and b = 1, the GCD of a and b is 1. This means that 536 and 1 have no common factors other than 1.
The first approximation of 537 can be expressed as a product of these two numbers, a and b, where a represents the larger part of the approximation and b represents the smaller part. In this case, a is equal to 536, and b is equal to 1. Since the GCD of a and b is 1, it indicates that 536 and 1 have no common factors other than 1. This approximation may not be the most accurate, but it satisfies the condition of having a GCD of 1.
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someone help plssssss
Answers
Answer:
a is 9
b is 77
Step-by-step explanation:
Give me brainllest
Can someone do this? You invest $6000 today. What interest rate is needed to have $8000 in 4 years if
money is compounded weekly?
Answers
Answer:
R = 7.197% per year
Step-by-step explanation:
r = n[(A/P)1/nt - 1]
Ali used 1 1/4 pints of watermelon and 5 1/8 pints of strawberries to make fruit salad how many pints of watermelon and strawberries were used in all?
Answers
Answer:
Step-by-step explancacacaccaaaaation:
1 1/4 = 5/4
5 1/8 = 41/8
To convert the fractions, we need to multiply the numerator and denominator of the first fraction by 8 (the denominator of the second fraction), and multiply the numerator and denominator of the second fraction by 4 (the denominator of the first fraction):
5/4 x 8/8 = 40/32
41/8 x 4/4 = 164/32
Now we can add the two fractions:
5/4 + 41/8 = 40/32 + 164/32 = 204/32
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 4:
204/32 = 51/8
Therefore, Ali used a total of 51/8 pints of watermelon and strawberries in the fruit salad.
What is a Terminating decimal and a Repeating Decimal. Whats the difference?
Answers
Answer:
If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.
A repeating decimal has non-zero repeating values, while a terminating decimal ends in zero.
PLZZZ HELP ME NEED THIS FAST
Answers
Answer:
4
Step-by-step explanation:
if the probability that a particular event occurs is 7/10, what are the odds favoring the event not occurring? express your answer in the form a:b.
Answers
For the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to
7 : 3.
As given in the question,
Probability of any particular event occurring is equal to 7 /10
Probability of any particular event not occurring is = 1- (7/10)
= (10 -7) /10
= 3/10
Probability of the odds favoring the events which are not occurring
= (7 /10) / (3/10)
= ( 7 × 10) / (3 × 10)
= 7 /3
Odds favoring the events which are not occurring in the form a: b
= 7 : 3
Therefore, for the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to 7 : 3.
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In a bag of Christmas treats,there are 3 red candy canes for every 5 gingerbread men. If there are a total of 40 treats, how many are candy canes?
Answers
Answer:
Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.
In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.
Step-by-step explanation:
Hope this helped!:)
1/3(6y+9)+5y help me plzzzz
Answers
Answer:
6
+
9
3
+
5
Step-by-step explanation:
The coordinates of the vertices of △DEF are D(2, −1) , E(7, −1) , and F(2, −3) .
The coordinates of the vertices of △D′E′F′ are D′(-3, 1) , E′(2, 1) , and F′(−3, 3) .
What is the sequence of transformations that maps △DEF to △D′E′F′ ?
Drag and drop the answers into the boxes to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A sequence of transformations that maps △DEF to △D′E′F′ is a Response area followed by a
Answers
A sequence of transformations that maps △DEF to △D′E′F′ is a reflection across the x-axis followed by a translation 5 units left.
What is a reflection?In Geometry, a reflection across the x-axis is given by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection across the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection across the x-axis to one of the coordinates of this triangle, we have the following coordinate:
(x, y) → (x, -y)
Ordered pair D = (2, -1) → Ordered pair D' = (2, -(-1)) = (2, 1).
Next, we would apply a translation to the pre-image of triangle ABC horizontally left by 5 unit:
(x, y) → (x - 5, y)
Ordered pair D' = (2, 1) → Ordered pair D' = (2 - 5, 1) = (-3, 1).
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7/9 = -1/2 (x +1/3)
What is the value of x?
Answers
Answer: x = - 17/9
Step-by-step explanation:
find the gradient of the line segment between the points (0,3) and (1,8)
Answers
The gradient of the line segment between the points (0,3) and (1,8) is : 5
What is gradient?Gradient is the ratio of the increase or decrease in the y-coordinates to the increase ore decrease in the x-coordinates of points that form a line segment.
Analysis:
x1 = 0, x2 = 1, y1 = 3, y2 = 8,
Gradient(M) = \(\frac{y2 - y1}{x2 - x1}\)
= \(\frac{8 - 3}{1 - 0}\) = 5/1 = 5
In conclusion, the gradient of the given points (0,3) and (1,8) is : 5
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Answer:
Step-by-step explanation:
difference in x = 1
difference in y= 5
5 divided by 1 = 5
gradient= 5
Here are four digits.
8 5 3 7
a) Use three of these digits to write down the smallest possible 3-digit number.
(1)
b) Here are four different digits.
6
1
9
4.
Put one of these digits in each box to give the largest possible answer
to the subtraction. You must use each digit only once.
(1)
Answers
Answer:
A: 357
(1) 9641
Step-by-step explanation:
With A you really just want to go from the smallest number up so it would be the smallest number possible.
EX. 357 vs. 736 357 is smaller
With 1 you have to go from the highest number to lowest number to get the biggest answer possible.
Ex. 9641 vs. 1946 9641 is larger.
when the spring is stretched and the distance from point a to point b is 5.3 feet, what is the value of θ to the nearest tenth of a degree?
a. 60.0
b. 35.2
c. 45.1
d. 55.5
Answers
When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13 degrees
The distance between point a to point b = 5.3 feet
The length of the top side = 3 feet
Therefore, it will form a right triangle
Here we have to use trigonometric function
Here adjacent side and the hypotenuse of the triangle is given
The trigonometric function that suitable for the given conditions is
cos θ = Adjacent side / Hypotenuse
Substitute the values in the equation
cos θ = 3 / 5
θ = cos^-1(3 / 5)
θ = cos^-1(0.6)
θ = 53.13 degrees
Therefore, the value of θ is 53.13 degrees
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What is the area of triangle ABC if a = 7, c = 11, and B = 55°?
Round the answer to the nearest hundredth.
Answers
The area of the triangle is 31.54 square units
How to determine the area of the triangleFrom the question, we have the following parameters that can be used in our computation:
We have the following values
a = 7 units
c = 11 units
B = 55 degrees
The area of the triangle is calculated using the following area formula
Area = 1/2absin(C)
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * 7 * 11 * sin(55 degrees)
Evaluate
Area = 31.54
Hence, the area is 31.54 square units
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TRUE/FALSE if a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes.
Answers
Answer: False
(5 x 3) + (5 x 3) = 30