kate has a piece of ribbon one metre long. she cuts off 30 centimetres. how many centimetres of ribbon solve it
Answers
Answer:
70 centimeters.
1 meter = 100 centimeters
--> 100-30=70 centimeters.
Answer:
There are 100 cm in 1 m.
So with that, if you put 4.5 m in cm you get 450 cm of ribbon.
Then divide 450 by 4.5 to see how many times you can take out 4.5 cm from the amount you have.
450/4.5 = 100
So you can get 100 pices of ribbon each 4.5 cm
from 4.5 m of ribbon
Related Questions
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
Answers
Let's assume that B can do the job alone in x days.
Then, according to the question, A can do the same job alone in (1/3)x days.
Also, we know that A takes 60 days less than B to finish the job, so:
(1/3)x = x - 60
Solving for x, we get:
x = 90
Therefore, B can do the job alone in 90 days and A can do the same job alone in (1/3) * 90 = 30 days.
To find out how long they take to finish the job together, we use the formula:
(AB)/ (A+B)
where AB is the product of their individual times and A+B is their combined time.
Plugging in the values, we get:
(30 * 90)/(30+90) = 22.5
Therefore, working together, they can finish the job in 22.5 days.
Answer: Option B - 22.5 days
PLEASE HELP MEEEEE
Determine the parallel slope to the given slope:
m=1/2
Answers
Answer:
Andrew is correct because the Parallel lines always have the same slope.
Step-by-step explanation:
Abby knows that 1 mile is about 1.61 kilometers. She wants to write an equation she can use to convert
any given distance in miles (m) to kilometers (k).
How should Abby write her equation?
Answers
Abby should write her equation as k = 1.61m.
The correct option is B.
What is an equation?A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.
Given:
Abby knows that 1 mile is about 1.61 kilometers.
To write an equation, which she can use to convert any given distance in miles (m) to kilometers (k):
Let m be the total number of miles and k be the kilometers.
So, the equation is,
k = 1.61m
Where 1.61 is multiplied by m.
Therefore, the equation is k = 1.61m.
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What is -8x-9-5+9 plz help
Answers
Answer:
-8x - 5
Step-by-step explanation:
-8x - 9 - 5 + 9 = -8x - 5
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
How many website graphics can be created?
Answers
I do not understand what do you mean
A number c minus 6 is less than or equal to 5.3. Write this word sentence as an inequality.
Answers
Answer:
4.3
Step-by-step explanation:
4.3
I need the answers for the table below.
Answers
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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$987.65 is invested at 0.4% annual interest for 5 years.
a. Simple Interest b. Compound Interest
Answers
Answer:
I. Simple interest = $19.753
II. Compound interest = $1007.6
Step-by-step explanation:
Given the following data;
Principal = $987.65
Interest rate, R = 0.4%
Time, T = 5 years
To find the simple interest;
S.I = PRT/100
S.I = (987.65*0.4*5)/100
S.I = 1975.3/100
S.I = $19.753
II. To find the compound interest;
\( A = P(1 + \frac{r}{100})^{t}\)
Substituting into the formula, we have;
\( A = 987.65(1 + \frac{0.4}{100})^{5}\)
\( A = 987.65(1 + 0.004)^{5} \)
\( A = 987.65(1.004)^{5} \)
\( A = 987.65(1.0202)\)
A = $1007.6
Consider the first quadrant of the unit circle. How does the covenant ratio change as the sine ratio increases?
Answers
Answer:
For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.
Step by Step:
Keep this in mind >>
Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.
All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.
3. In triangle ABC the measures of the angles have the ratio 3:6:9. What
are the measures of the angles?
Answers
Answer:
30°, 60° and 90°Step-by-step explanation:
We are given tha in triangle ABC the measures of the angles have the ratio 3:6:9.
Let's assume ∠A be 3x, ∠B be 6x and ∠C be 9x.
According to Angle sum property, the sum of interior three angles of triangle is 180°
3x + 6x + 9x = 180°
18x = 180
x = 180/18
x = 10°
The required angles are :
Angle A
= 3x
= 3 × 10
= 30°
Angle B
= 6x
= 6 × 10
= 60°
Angle C
= 9x
= 9 × 10
= 90
Therefore, the measures of the angles are 30°, 60° and 90°.
Can someone help me with this pleasee here is the picture
Answers
The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
Writing the system of equations as an augmented matrixFrom the question, we have the following parameters that can be used in our computation:
x = 100
-5m - 7c = 350
-5m - 9c = 200
The above means that the variables in the system of equations are
x, m and c
So, we have the following representation
x m c
1 0 0 100
0 -5 -7 350
0 -5 -9 200
When represented as an augmented matrix, we have
\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
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Solve the following system of equations. 4x + 3y = -5
- 3x + 7y=13
Answers
Answer: 13
Step-by-step explanation:
4x+3y=-5 solve x :
4x = -3y + -5 | -3y
1x = -0.75y + -1.25 | : 4
-3x + 7y = 13 solve x :
-3x + 7y = 13 | -7y
-3x = -7y = 13 | : (-3)
Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333
-0, 75y - 1,25 = 2,333y - 4, 333 solve y:
-0, 75y - 1,25 = 2,333y -4, 333 | -2,333y
-3, 083y - 1,25 = -4,333 | + 1, 25
-3. 083y = -3,088 | : (-3, 083)
y = 1
Plug y = 1 into the equation 4x + 3y = -5 :
4x + 3 · 1 | Multiply 3 with 1
4x + 3 = -5 | -3
4x = -8 | : 4
x = -2
So the solution is:
y = 1, x = -2
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Given m∠ABC=37°m∠ABC=37°and m∠CBD=165°m∠CBD=165°. According to the Angle Addition Postulate, what is the measure of ∠ABD∠ABD, that contains −−→BCBC→?
Answers
According to the Angle Addition Postulate, the measure of m∠ABD = 202°.
What is an angle addition postulate?According to the Angle Addition Postulate, an angle's measure is equal to the sum of the measures of any two adjacent angles. The Angle Addition Postulate can be used to determine the measurement of a missing angle or to determine the angle produced by two or more other angles.
Given:
The angle measures:
m∠ABC=37°,
and m∠CBD= 165°.
So, according to the angle addition postulate;
m∠ABD = m∠ABC + m∠CBD
Substituting the values,
m∠ABD = 37° + 165°
m∠ABD = 202°
Therefore, the angle measure of m∠ABD = 202°.
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Can every positive integer be written as the sum of two or more consecutive integers?
If not, which numbers CANNOT be written as the sum of two or more consecutive integers? Why is that?
Answers
Answer: no- for example 10 (5+4=9, 5+6=11) and all other even numbers
Step-by-step explanation:
that's just what works and many numbers are like this
Actually, all even numbers can't (try it!)
PLS MARK BRAINLIEST IF THIS HELPED!
Answer: No, 2, 4, 8, 10, and all positive even integers can't be written as the sum of 2 or more consecutive integers.
Step-by-step explanation:
I'm not absolutely sure if this is correct, but here is my thinking:
No even numbers can be written as the sum of 2 consecutive integers because the sum is always going to be odd. For example;
0 is not positive or negative, so it doesn't count.
2 can't be written as the sum of 2 or more integers. 0+1=1, 1+2=3, and decimals don't count, so, therefore, it cannot be written as a sum of 2 consecutive integers.
4 can't because 1+2=3, 2+3=5
Hope this helped.
An international company has 25,800 employees in one country. If this represents 31.1% of the companies employees, how many employees does it have in total?
Answers
Answer:
Rounded to the nearest integer, the company has a total of 82,958 employees.
Step-by-step explanation:
Given that an international company has 25,800 employees in one country, if this represents 31.1% of the companies employees, to determine how many employees does it have in total, the following calculation must be performed:
31.1 = 25,800
100 = X
100 x 25,800 / 31.1 = X
2,580,000 / 31.1 = X
82,958.1 = X
Thus, rounded to the nearest integer, the company has a total of 82,958 employees.
WILL SOMEONOE HELP ME WITH THIS SIMPLE GEOMETRY?
Answers
Answer:
Below
Step-by-step explanation:
If they are similar the ratios of their sides are similar
11 is similar to 43 as 8 is similar to OP
Set up a ratio of this statement:
11/43 = 8/OP then OP = 8 * 43/11 = 31.3 units
Question 14 (Essay Worth 12 points)
(Comparing Data HC)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Sky View School
9, 7, 2,0
8, 7, 6, 5, 5, 5, 4, 3, 1, 0
0
1
South Lake School
5,8
0, 1, 2, 6, 6, 8
2
0 3
Key: 2|1|0 means 12 for Sky View and 10 for South Lake
5, 5, 6, 7, 8
0,6
Part A: Calculate the measures of center. Show all work. (5 points)
Part B: Calculate the measures of variability. Show all work. (5 points)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (2 points)
7
Answers
To find the measures of center, we need to determine the median for each school.
For Sky View School:
Arrange the data in order: 0, 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 7, 8, 9
The median is the middle value, which is 5.
For South Lake School:
Arrange the data in order: 0, 0, 1, 2, 2, 5, 6, 6, 8
The median is the middle value, which is also 5.
Therefore, the median class size for both schools is 5.
Part B: Measures of variability
To find the measures of variability, we need to determine the range and interquartile range (IQR) for each school.
For Sky View School:
The smallest value is 0 and the largest value is 9, so the range is 9 - 0 = 9.
To find the IQR, we need to find the first and third quartiles. The median is 5, so the first quartile is the median of the lower half, which is (0 + 1 + 2 + 3 + 4)/5 = 2. The third quartile is the median of the upper half, which is (6 + 7 + 8 +9)/4 = 7.25 (rounded to two decimal places).
Therefore, the IQR is 7.25 - 2 = 5.25.
For South Lake School:
The smallest value is 0 and the largest value is 8, so the range is 8 - 0 = 8.
To find the IQR, we need to find the first and third quartiles. The median is 5, so the first quartile is the median of the lower half, which is (0 + 0 + 1 + 2)/4 = 0.75 (rounded to two decimal places). The third quartile is the median of the upper half, which is (6 + 6 + 8)/3 = 6.67 (rounded to two decimal places).
Therefore, the IQR is 6.67 - 0.75 = 5.92 (rounded to two decimal places).
Part C: Choosing a school based on class size
If you are interested in a smaller class size, South Lake School is the better choice. This is because the range and IQR for South Lake School are smaller than those for Sky View School, indicating that the class sizes at South Lake School are more consistent and less variable. Additionally, the largest class size at South Lake School is 8, while the largest class size at Sky View School is 9, further indicating that South Lake School may have smaller class sizes overall.
Measures of center for Sky View School:
Mean = (0+1+2+3+4+5+5+5+6+7+7+8+9)/13
Mean = 4.8
Median = 5
Measures of center for South Lake School:
Mean = (0+1+2+2+3+5+6+6+8+8)/10
Mean = 4.1
Median = 5
Part B:
Measures of variability for Sky View School:
Range = 9 - 0 = 9
Interquartile Range (IQR) = Q3 - Q1 = 7 - 2 = 5
Variance = [(0-4.8)^2 + (1-4.8)^2 + (2-4.8)^2 + (3-4.8)^2 + (4-4.8)^2 + (5-4.8)^2 + (5-4.8)^2 + (5-4.8)^2 + (6-4.8)^2 + (7-4.8)^2 + (7-4.8)^2 + (8-4.8)^2 + (9-4.8)^2]/12
Variance = 7.6
Standard Deviation = √7.6
Standard Deviation = 2.76
Measures of variability for South Lake School:
Range = 8 - 0 = 8
Interquartile Range (IQR) = Q3 - Q1 = 6 - 1 = 5
Variance = [(0-4.1)^2 + (1-4.1)^2 + (2-4.1)^2 + (2-4.1)^2 + (3-4.1)^2 + (5-4.1)^2 + (6-4.1)^2 + (6-4.1)^2 + (8-4.1)^2 + (8-4.1)^2]/9
Variance = 6.45
Standard Deviation = √6.45
Standard Deviation = 2.54
Part C:
If you are interested in a smaller class size, South Lake School is a better choice for you. This is because the measures of center and variability for South Lake School are both smaller than those for Sky View School.
Which is the graph of f(x)=(2/3)x
Answers
Answer:
Here is the desmos graph
Step-by-step explanation:
Please helppp.
:))
in the photo
Answers
Answer:
0
Step-by-step explanation:
plug each one in. 330 + 0.3= 3.3 + 0.3. that def isnt true, so try 0. thats true since anything x 0 is 0. so, 0. this is so hard tho, so im not 100%
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
Answers
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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PLEASE HELP!!!
Bob and Sue are 12 miles apart and moving toward each other. Bob is running at a constant speed of 5mph, and Jada walks at a constant speed of 3mph How long does it take until Bob and Sue meet?
Answers
Answer:
34 miles
Step-by-step explanation:
jn
Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) b. Determine the average time customers spend in the system. (Do not round intermediate calculation. Round your answer to 2 decimal places.) c. Determine the average number of customers in the system. (D
Answers
Answer:
a. 0.45 customers
b. 0.0145 hours
c. 1.05 customers
Step-by-step explanation:
Missing word "A vending machine dispenses hot chocolate or coffee. service time is 30 seconds per cup and is constant. customers arrive at a mean rate of 72 per hour, and this rate is Poisson-distributed."
λ = 72 customers per hours
μ = 120 customers per hours
a. Lq = λ²/ 2μ(μ-λ)
Lq = 72² / 2(120)(120-72)
Lq = 9/20
Lq = 0.45 customers
b. Ws = Wq + 1/μ = Lq/λ + 1/μ
Ws = 9/20 customers/72 customers + 1/120 customers
Ws = 0.0145 hours
c. Ls = Lq + r
Ls = 9/20 + 72/120
Ls = 1.05 customers
Answer both questions
Answers
Answer:
D and C
Step-by-step explanation:
Good job on the first question!
The range reflects upon the y-axis interval so the value must be greater than equal to 300,000
help me pls
Angle Relationships
Answers
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
Define angle.When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.
Here,
You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.
Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."
For instance, two lines or line segments that cross each other create two pairs of vertical angles.
When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
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Given a function described by the table below, what is y when x is 5?
Answers
When x is 5, the estimated value of y is 14.5.To determine the value of y when x is 5, we need to refer to the table given for the function.
By examining the table, we can see that there is no specific value of y provided for x = 5. However, we can use interpolation to estimate the value of y based on the given data.
Since the x-values of 4 and 5 are consecutive, we can assume that there is a linear relationship between them. Using this assumption, we can estimate the value of y for x = 5 by finding the slope between the points (4, 12) and (2, 7).
Slope = (change in y) / (change in x) = (12 - 7) / (4 - 2) = 5 / 2 = 2.5
Now, we can estimate y for x = 5:
y = y-value at x = 4 + (slope * change in x)
= 12 + (2.5 * (5 - 4))
= 12 + 2.5
= 14.5
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For the function f, f(0)=86, and for each increase in x by 1, the value of f(x) decreases by 80%. what is the value of f(3)?
Answers
The value of f(3) is 0.688.
To find the value of f(3), we need to determine the pattern of decrease and apply it to the given information.
Given that f(0) = 86, we know the starting value of the function. We are also told that for each increase in x by 1, the value of f(x) decreases by 80%. This means that for every unit increase in x, the value of f(x) becomes 80% of its previous value.
Let's calculate the values step by step:
f(0) = 86 (given)
f(1) = 86 - 0.8 * 86 = 17.2
f(2) = 17.2 - 0.8 * 17.2 = 3.44
Now, let's find f(3) by applying the same decrease:
f(3) = 3.44 - 0.8 * 3.44 = 0.688
In summary, starting with f(0) = 86, we applied an 80% decrease for each unit increase in x to calculate the values of f(1) = 17.2, f(2) = 3.44, and f(3) = 0.688. The pattern suggests that the function approaches zero rapidly as x increases.
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What is the slope of the line?
Answers
Answer:
-5
Step-by-step explanation:
Use the slope triangle I mentioned in a previous question
If 18% of a $3,200.80 monthly net income is allotted for clothing, how much money is allotted for clothing in one year?
Answers
Answer:
Step-by-step explanation:
18% of $3200.80 = $576.144.
$576.144 is for one month. So, for a year is 12 * $576.144 = $6913.728.
HELP PLS!
Delta math
Answers
180-118=62
62=angle C
If angles C and A equal the same thing then you know what angle A is.
So, 62*2=124
Now do 180-124=56
even though the elimination method is easy I still have trouble with it
Answers
Answer:
(1,2)
Step-by-step explanation:
x+4y = 9
2x -4y= -6
Add the equations together
x+4y = 9
2x -4y= -6
-------------------
3x +0y = 3
3x=3
Divide by 3
3x/3 = 3/3
x=1
Now find y
x+4y = 9
1 +4y =9
Subtract 1 from each side
4y = 8
Divide by 4
4y/4 = 8/4
y =2