56 sweets can be shared in the ratio 2 : 5 as 16 sweets and 40 sweets.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Share 56 sweets in the ratio 2 : 5.
First share is = (2/2+ 5)×56.
= (2/7)×56.
= 16.
And the second share is (5/2 + 5)×56.
= (5/7)×56.
= 40.
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If 46 people can fit into 64 square teet. Which proportion should you use to estimate how many people are in a 600
square foot area?
Answer:
431.25 approximately 431
Step-by-step explanation:
one way of calculating it would be to get the measure per one person which would be equal to 46 / 64 = 0.7 people in one square feet
then multiply 0.7 by the total distance = 431.25 approximated to 431
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
Hope this helps! :)
Lcm of 36 75 80 is what if you know plz send the answer
Answer:
3600
Step-by-step explanation:
lcm stands for "lowest common multiple"
the lcm is 3600 when done with the prime factorization process
Answer:
3600
Step-by-step explanation:
Express each number as a product of its prime factors, that is
36 = 2² × 3²
75 = 3 × 5²
80 = \(2^{4}\) + 5
Now multiply each factor the greatest number of times it occurs in each of the 3 numbers.
2 → 4 times (that is \(2^{4}\) )
3 → twice (3² )
5 → twice (5² )
Thus
LCM = \(2^{4}\) × 3² × 5² = 16 × 9 × 25 = 3600
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Answer: they would both have $240 in 3 months
Step-by-step explanation:
180 + 20 + 20 + 20 = 240
120 +40 + 40 + 40 =240
-
180+20=200+20=220+20=240
120+40=160+40=200+40=240
and there u go :)
Are the ratios 1:4 and 6:10 equivalent?
Answer:
No
Step-by-step explanation:
For ratios to be equivalent, they need to have something in common like 2:4
4:8. Those are common because ":2:4" is the simplified version of 4:8. (I mean it could be simplified to 1:2 but this is used as an example) (mark brainliest plas)
What is the area of the right way to go with a height of 6 1/4 yards and a base of 23
As a result, the right triangle's area is 71.875 square yards.
WHO DEFINES A RIGHT TRIANGLE?A triangle is considered to be correct if one of its angles is 90 degrees. The hypotenuse and legs are terms used to describe the two sides that are not the correct angle.
A basic mathematical theorem that has to do with right triangles is the Pythagorean theorem. According to this rule, the square of a right triangle's hypotenuse is equal to the sum of its other two sides' squares. With those words:
a² + b² = c²
where the triangle's legs are measured by letters a, b, and c, and the hypotenuse is measured by letter c.
Geometry, trigonometry, and physics are just a few of the fields in mathematics and science where right triangles are crucial.
The following formula can be used to determine the area of a right triangle:
(Base * Height) / 2 = Area
In this instance, the height is 6 1/4 yards, and the base is 23 yards. The height must be converted to yards:
25/4 yards times 6 1/4 yards
Now, we can enter these values as substitutes in the formula:
Area is equal to (23 × 25/4)/2
Area is (575/4)/2
Area is (575/8), = 71.875 square yards.
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Angles with sides that form two pairs of opposite rays are called
Angles with sides that form two pairs of opposite rays are called vertical angles.
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Help !! Pls :3:’dnmdnsnms
The congruent reason for the triangles is (b) HL theorem
How to determine the congruent statement?From the question, we have the following parameters that can be used in our computation:
Triangles = FGH and JHK
The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent
From the question, we can see that the following corresponding sides on the triangles:
Sides GH and HK
Sides FH and JK
These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides
For the triangle to be congruent by SSS, the following sides must also be congruent
GH must be congruent to HK
The above statement is true because point H is the midpoint of line GK
This is indicated in reason (2)
Hence, the congruent statement is SSS.
However, we can also make use of the HL theorem in (B)
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Please help ASAP!!!!!
17 - q = 6
What does Q stand for?
\(\huge\boxed{\boxed{Hi~there!}}}\)
17-q=6
Move 17 to the right, using the opposite operation:
-q=6-17
-q=-11
Now, divide both sides by -1 to isolate q.
\(\huge\boxed{Answer:{\boxed{\text{q=11}}}}\)
Hope it helps! Enjoy your day!
-Sparkles-
Answer:
q = 11
Step-by-step explanation:
17 - q = 6
- q = 6 - 17
- q = - 11
q = 11
Hope it helps ⚜
calculate the Area of parallelogram GDEF if the base is 5m and the altitude is 3,2m
Step-by-step explanation:
the area of a parallelogram is
baseline × height = 5 × 3.2 = 16 m²
Help quick if you can!
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 90% confidence if (a) she uses a previous estimate of 0.34?(b) she does not use any prior estimates? n=_____(Round up to the nearest integer.)
Answer:
675 samples
752 samples
Step-by-step explanation:
Given that :
α = 90%
E = 0.03
Previous estimate (p) = 0.34
Estimated sample proportion (n)
n = p *q * (Zcritical /E)
Zcritical = α/2 = (1 - 0.9) /2 = 0.1 / 2 = 0.05
Z0.05 = 1.645 ( Z probability calculator)
q = 1 - p = 1 - 0.34 = 0.66
n = 0.34 * 0.66 * (1.645/0.03)^2
n = 674.70
n = 675
B.) without prior estimate given ;
p and q should have equal probability
Hence ;
p = 0.5 ; q = 0.5
n = 0.5 * 0.5 * (1.645/0.03)^2
n = 751.67361
n = 752
-) Find the equation of the line that passes through (1,0) and (3,6).
The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.
Given points:
Point 1: (1, 0)
Point 2: (3, 6)
Step 1: Calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates:
m = (6 - 0) / (3 - 1)
m = 6 / 2
m = 3
Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).
Using Point 1 (1, 0):
0 = 3(1) + b
0 = 3 + b
b = -3
Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):
y = 3x - 3
Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.
Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.
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What’s the factor of the expression?
The answer to this question: B
Please help meee
Mr larson only wears his kilts on days he doestn ride his motorcycle. He owns 12 kilts and 10 motorcycles. He randomly picks one each day and returns it when he gets home. If you bumped into mr larson on Monday and Tuesday what is the percent probability that he was riding his motorcycle on both days?
Yall im crying help meee
On solving the provided question, we can say that there is a probability 20.66% chance that Mr. Larson rode his motorbike on both Monday and Tuesday.
What is probability?Probability theory is an area of mathematics that calculates the likelihood of an occurrence or a proposition being true. A risk is a number in the range of 0 and 1, whereas 1 implies certainty and a probability of roughly 0 indicates how likely an event seems to be to occur. Probability is a mathematical expression of the chance or chances that a given event will occur. Probabilities can alternatively be stated as integers between 0 and 1 or as % from 0% to 100%. the ratio of occurrences among equally likely choices that result in a certain event in comparison to all other outcomes.
Assuming that his decisions for the two days are independent, we must multiply the chance that he rides his motorbike on Monday by the probability that he rides it on Tuesday in order to get the likelihood that he does so on both Monday and Tuesday. Considering that his decisions on the two days are separate, Hence, the likelihood is:
(10/22) x (10/22) = 100/484 = 0.2066 or 20.66%
Hence, there is a roughly 20.66% chance that Mr. Larson rode his motorbike on both Monday and Tuesday.
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Jane is collecting data for a ball rolling down a hill. She measures out a set of different distances and then proceeds to use a stop watch to find the time it takes the ball to roll. What are the independent, dependent, and control variables in this experiment?
Answer:
Step-by-step explanation:
The independent variables are the input values which are not dependent on the other value.
The dependent variables are the output values whose values depends on the value of some other number.
The independent variable in this case is the data on the set of distances she measured out.
The dependent variable in this case is the the time (measured by the stopwatch) it takes for the ball to roll.
The control variable in this case study is the size of ball, slope of hill, weight of ball etc.
Camila has 6 bags of candy. She can pour 1/3 of a bag of candy into a bowl. How many bowls of candy can Camila make in all?
Answer:
18 Bowls of Candy
Step-by-step explanation:
Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.
Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.
Now, we can calculate the total number of bowls of candy:
Total bowls of candy = (Number of bags) x (Bowls per bag)
Total bowls of candy = 6 bags x 3 bowls per bag
Total bowls of candy = 18 bowls
Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.
Points (−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team:
A coordinate plane is shown. There is a point at 7, 5 labeled Player 2. There is a point at negative 7, 5 labeled Player 1.
Which statement best describes the relationship between the positions of the two players? (4 points)
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Given:
Player 1 is at (-7,5).
Player 2 is at (7,5).
To find:
The relationship between the positions of the two players.
Solution:
The two points are (-7,5) and (7,5).
Here, x-coordinates are different but y-coordinates are same. The absolute values of x-coordinates are equal but the signs are different.
The transformation is defined as
\((x,y)\to (-x,y)\)
It means, the points are mirror image of each other with respect to y-axis.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Therefore, the correct option is C.
: Given the function y = -5x + 4, what is the range of the function of the domain is {-2, 0, 5}?
In a case whereby the function is y = -5x + 4, the range of the function of the domain is {14, 4, -21}
How can the range be calculated?A function's range serves as one which encompass conceivable values for y. Y = f(x) is the formula to determine a function's range.
We were told to get the range of the function, which implies that we will be plugging each value in the domain into the given function so that we can observe the output (y-value) .
When x = -2:
y = -5(-2) + 4 = 1
When x = 0:
y = -5(0) + 4 = 4
When x = 5:
y = -5(5) + 4 = -21
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work out the product of 1 2/3 and 3 3/4 give your answer as a mixed number
Step-by-step explanation:
first you convert 3 3/4 to an improper fraction
also convert 12/3to an improper fraction
3 3/4= 15/4
1 2/3=5/3
15/4 x5/3
=75/12
To mixed fraction it is 6 1/4
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Answer:
19,133.067Step-by-step explanation:
Volume of the ball (spherical in nature) Vb = 4/3πrb³
Volume of the hole Vh = 4/3πrh³
rb is the radius of the ball
rh is the radius of the hole
If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:
V = Vb - Vh
V = 4/3πrb³ - 4/3πrh³
factor out the like terms;
V = 4/3π(rb³-rh³)
Given
rb = 17
rh = 7
V = 4/3π(17³-7³)
V = 4/3π(4913-343)
V = 4/3π(4570)
V = (4π*4570)/3
V = 57,399.2/3
V = 19,133.067
Hence the volume of the resulting solid is 19,133.067
Consumer Price Index, 1970-2002
Year
1970
1975
1980
1985
1990
1995
2002
Source: World Almanac 2003
CPI
116.3
161.2
248.8
322.2
391.4
456.5
535.8
Describe how the CPI is related to the year.
As the year increases, the CPI decreases and then increases.
As the year increases, the CPI increases and then decreases.
As the year increases, the CPI decreases.
d. As the year increases, the CPI increases.
C.
a.
b.
The computation of the increased in salary is $500.
Here, we have,
Explanation:
Data provided in the question
Salary for the first year = $50,000
CPI increase during the year = 4%
Overstated inflation = 1% i.e. 5%
The computation of the increased in salary is shown below:
= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year
= $50,000 × 5% - $50,000 × 4%
= $2,500 - $2,000
= $500
Hence, The computation of the increased in salary is $500.
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complete question:
Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.
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a toy company is going to issue new ID codes to its employees.Each codes will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used. Assume that the digits can be repeated.. How many employee ID codes can be generated
Answer:
851,968
Step-by-step explanation:
26*8*8*8*8*8= 851,968
From the combination of codes, 851,968 employee ID codes can be generated.
Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Required number of codes = 26 * 8 * 8 * 8 * 8 * 8
= 851,968
Thus, from the combination of codes, 851,968 employee ID codes can be generated.
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Three men went into a second-hand shop to buy a
television.
It was priced in the window at £30.
Each of them handed over £10 to the shop assistant.
As the assistant opened the till, the manager had a quiet
word with him, "that TV is in the sale and is only £25
now, you will have to give them £5 back."
The assistant was very lazy and couldn't be bothered to
count out the right change for each man.
Instead, he took 5 £1 coins out of the till.
He put two of them in his own pocket and gave each
man £1 back.
Here's the problem:
The men have now paid £9 each for the TV.
The assistant has kept £2 for himself.
3 x £9 = £27.
£27 + £2 = £29.
But £30 was handed over in the first place.
WHERE IS THE MISSING £1?
Step-by-step explanation:
The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.
To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.
Thus, the sensible sum can be expressed in this manner:
what is a regression through the origin
A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.
This version is also referred to as zero-intercept regression or homogeneous regression.
It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.
The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.
However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.
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Find the area of the figure. (Sides meet at right angles.)
7 in
2 in
5 in
8 in
4 in
5 in
2 in
7 in
Answer:
36
Step-by-step explanation:
The perimeter of the triangle below is 42 units.
x + 5
Х
x+7
What is the value of x?
Answer:
x + 5+x+7+Х=42units
3x=42-12
x=30/3
x=10
Find the circumference of the circle
Answer:
31.4 cm
Step-by-step explanation:
it says \(c =\pi d\)
d stands for the diameter and to find d, just add the radius by itself.
So to find d, you would add 5 + 5 which would be 10 and multiply 3.14 which stands for pi. And the answer you would get is 31.4
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Which of the following illustrates the truth value of the given statements?
January is the first month of the year or December is the last month of the year.
OFF-F
OTT-T
OFT - T
OTF-T
Answer:oft-t
Step-by-step explanation: