The number of children in the group based on the information is 13.
How to calculate the number?Total number of cookies Abby baked = 124
Number of cookies remaining after children left the kitchen = 7
Number of cookies taken by the group of children = 124 - 7 = 117
Given that 117 cookies were equally shared by the children.
Let the number of children be x.
Number of children was more than 10 and less than 30
10 < x < 30
x will always be an integer.
Let a number of cookies each child took be c.
The prime factorization of 117 is 3*3*13.
As 117 = x * c
117, when written as the product of 2 numbers, that is x*c form, will be as given below:
1*117, 3*39, 9*13, 13*9, 39*3, 117*1
Given that 10 < x < 30. Therefore, we can only take 13 * 9 as the required x * c form.
x = 13 and c = 9
Number of children in the group is 13.
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The length of 'Added metal bar' will be;
⇒ Approximately 5.4 m
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
The sides of box are;
⇒ a = 4 meters
⇒ b = 2 meters
⇒ c = 3 meters
Now,
Let the length of Added metal bar = d
By the formula of 3D Pythagoras theorem, we get;
⇒ d² = a² + b² + c²
⇒ d² = 4² + 2² + 3²
⇒ d² = 16 + 4 + 9
⇒ d² = 29
⇒ d = √29
⇒ d = 5.38
⇒ d = 5.4 meters
Thus, The length of ''Added metal bar'' is ''Approximately 5.4 m''.
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Calculate the power of a man weight 40m in 15minutes assume G=9.87m~2
The power of man weight 40 m in 15 min is 394.8 N x distance / 900 seconds the distance is not provided in the question, so it's impossible to calculate the power.
What is the step by step calculation?To calculate the power of a man who weighs 40 kg and walks for 15 minutes, we can use the following formula:Power = Work / TimeWork = force x distancewhereforce = mass x gravity (F = mg)distance = velocity x timeThe force exerted by the man is:force = 40 kg x 9.87 m/s^2 = 394.8 NIf we assume that the man is walking at a constant velocity, we can calculate the distance he travels using the formula:distance = velocity x timeThe power exerted by the man is:Power = (394.8 N x distance) / (15 minutes x 60 seconds/minute) = 394.8 N x distance / 900 secondsThe distance is not provided in the question, so it's impossible to calculate the powerTo learn more about power refer:
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...is available only in ms excel?
1-Status bar
2-formula bar
3-title bar
4-all of the above .
Office programs' status bar, which is located at the bottom, shows the status of any options that have been chosen to appear there.
What are the bars available in Excel?Office programs' status bar, which is located at the bottom, shows the status of any options that have been chosen to appear there.By default, a lot of choices are chosen.Right-click the status bar and select the choices you desire if you want to change it.The Quick Access Toolbar is a toolbar for Excel.Users may simply store and access key shortcuts thanks to this feature.(read more) is displayed to give users access to different commands for carrying out the actions.A choice to add or remove commands from it is also given so that you can rapidly access them.At the bottom of the Excel window, there is a narrow bar called the status bar.To learn more about Excel refer
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distance between the following numbers on the real number line. a=-10b=-15
The distance between the following numbers on the real number line is -5.
What is a number line?
A straight line with numbers positioned along it at equal intervals or segments. Positive and negative numbers are listed on each side of zero and continue forever on a number line, which is a straight line with a "zero" point in the center.
Here, we have
Given: a = -10, b = -15
We have to determine the distance between the following numbers on the real number line.
According to the given question, we have
= b - a
= -15 - (-10)
= 15 + 10
= -5
Hence, the distance between the following numbers on the real number line is -5.
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Mini muffins cost $3.00 per dozen.
Andre says, “I have $2.00, so I can afford 8 muffins.”
Elena says, “I want to get 16 muffins, so I’ll need to pay $4.00."
Do you agree with either, both, or neither of them?
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Answer:
the Pythagorean Theorem
√73 = 8.544
a leg
hypotenuse
√89 ≈ 9.434
Step-by-step explanation:
Use the Pythagorean theorem since you are finding the hypotenuse of a right triangle.
AC = √(8² + 3²) = √73 ≈ 8.544
CG is a leg of right triangle ACG
AG = √(73 + 16) = √89 ≈ 9.434
See the Image below.
Answer:
21 inches
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side of a square
P = 4 ( 5 1/4)
= 4 * 5 + 4 * 1/4
= 20 + 1
= 21
Which unit would be best for measuring the thickness of a coin?
I
kilometer
meter
millimeter
centimeter
Done
The thickness of a coin will be measured in millimeters.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
For the Conversion to Millimeter
1 meter = 1000 millimeter.
1 centimeter = 10 millimeter,
1 kilometer = 1000000 millimeter
We know that the thickness of the coin is too small. To be measured in meters or kilometers of the coin.
Hence, the thickness will be measured in millimeters.
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Tell whether the triangles are similar.
The triangles are or are not similar?
Explain
Answer:
Step-by-step explanation:
They're not identical, but they are both right triangles, so yes they are similar.
Factor completely using the distributed law 42m+ 56n
Answer:
14(3m + 4n)
Step-by-step explanation:
Now we have to,
→ factor the given expression.
The expression is,
→ 42m + 56n
Let's factorise the expression,
→ 42m + 56n
→ (14 × 3m) + (14 × 4n)
→ 14(3m) + 14(4n)
→ 14(3m + 4n)
Hence, answer is 14(3m + 4n).
A mountain is 12,130 feet high. How high is that in miles? (There are 5,280 feet in a mile.)
Answer :2.3 miles
Step-by-step explanation
12130/5280= 2.3 miles
Ya really need help!!!
The another way to represent the same line is y=-(3/2)x + 2
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
3x+2y=4
Move x term to the right side
2y=4-3x
divide both sides by 2
y=4/2 - (3/2)x
=> y=2-(3/2)x
=> y=-(3/2)x + 2
So, the another way to represent the same line is y=-(3/2)x + 2
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Determine the relationship between the two triangles and whether or not they can be proven to be congruent
Side, Side, Side (SSS)
Are Congruent
Step-by-step explanation:Using the relationships between triangles based on the sides and angles we can determine whether or not triangles are congruent.
Congruent Sides
The diagram shows 2 triangles, and the sides of the triangles have tick marks to show that it is congruent to one of the sides of the other triangle. For example, both triangles have one side that has one tick mark. This means that these sides are congruent. Additionally, the sides with 2 tick marks are congruent and the same for the sides with 3 tick marks. Thus, it can be said that the sides of the triangles are congruent to each other.
Side, Side, Side
One of the most common relationships is side, side, side. This relationship occurs when 2 triangles have 3 sides that are congruent to each other. Side, side, side is usually shortened to SSS. This relationship will always prove congruency because triangles cannot have equal sides without the angles also being congruent.
One angle of a right triangle measures 69∘. What is the measure of the third angle?
21°.
In a right-angle triangle, there is always a 90° angle. Because of this, and our knowledge about a 69° angle, when we add 90° + 69° and get 159° as a result, we just subtract this from the area of a triangle, which is 180°. 180° - 159° = 21°, hence the missing and third angle is 21°.
Confused on the answers to #7, #8
Will give votes!
Question 7
[tex]3(2+x)=-3 \\ \\ 2+x=-1 \\ \\ \boxed{x=-3}[/tex]
Question 8
[tex]4(5+x)=-4 \\ \\ 5+x=-1 \\ \\ \boxed{x=-6}[/tex]
16. A building has more than 2 stories but fewer than 10 stories. Each story of the building has the same number of windows. The. building has 25 windows. Complete the sentence. Then explain how you found your answer.
In kite WXYZ, m < XYW = 23 deg and m < 7WY = 41 deg What is the m < WXY ? Help please help me due tonight
Answer:
Step-by-step explanation:
118.5
Sum of all angles in the kite is 360.
XYW = 23
XYZ = 46
ZWY = 41
ZWX = 82
We'll make the 2 angles left 2x in the equation because they are congruent.
2x+82+41=360
I got 118.5. This is a weird number, I'm not sure if it's right, but I don't have time to check.
If it is a given that the base angle of an isosceles triangle is a right angle, what do you know about this triangle? Why?
Answer:
Step-by-step explanation: so first you know how we have a right and left with our hands so that’s the same thing with the triangle is southern on the right and nothing left I’m not sure.
estimate the quotient to the nearest whole number. 45.68 divided by 5.97 PLEASE HELP
When we divide the given decimal numbers and round off the answer to the nearest whole number, The answer is 8.
What are whole numbers?Whole numbers are the set of non-negative integers including 0, 1, 2, 3, 4, 5, and so on. They are numbers that can be counted and do not have fractions or decimals. Whole numbers are often used to count discrete objects and are an important foundation for many areas of mathematics, including number theory and combinatorics. They are opposite of the negative numbers and called Non-negative integers.
What do you mean by round off ?Round off is a method of approximating a number to a certain number of significant figures or decimal places. It involves replacing the least significant digits in a number with a 0 or a 5, depending on the next digit, in order to make the number simpler or more manageable. This can be done with the help of mathematical functions (e.g. round(), floor(), ceil() etc) in various programming languages. It is used to simplify large and complex numbers for ease of calculation, or to present data in a more readable form.
45.68/5.97
=7.65
rounding off to the nearest whole number , We get 8.
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evelyn is making two rectangular table tops. the dimensions of both are shown. if both designs have the same area, what is the value of x? the dimensions of table one is x+4 and x. the dimensions of table two is 2x+3 and x-2
The value of x is for the two rectangular table to have the same area is 6 or -1.
How to solve an equationThe dimensions of table one is x+4 and x, hence the area is:
Area = length * breadth
A = (x + 4)(x)
A = x² + 4x
The dimensions of table two is 2x + 3 and x - 2, hence the area is:
Area = length * breadth
A = (2x + 3)(x - 2)
A = 2x² - 4x + 3x - 6
A = 2x² - x - 6
Since both tables have same area, hence:
x² + 4x = 2x² - x - 6
x² - 5x - 6 = 0
x² - 6x + x - 6 = 0
x(x - 6) + 1(x - 6) = 0
(x + 1)(x - 6) = 0
x = -1 or 6
The value of x is 6
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T/F A second independent variable has been added to a multiple regression model. when the first simple linear regression model was run, that independent variable was found to be significant. since this variable was proven to be significant in the simple linear model, it will definitely remain significant once an additional independent variables added.
Adding an additional independent variable to a multiple regression model does not guarantee that the original independent variable will remain significant
Adding an additional independent variable to a multiple regression model does not guarantee that the original independent variable will remain significant. This is because the effect of the original variable may be partially or completely outweighed by the effects of the new variable. For example, if the original variable is correlated with the new variable, the significance of the original variable may be reduced, as the new variable may capture the majority of the variance in the data. Additionally, if the new variable is correlated with the outcome variable, then it may have a stronger effect on the outcome than the original variable, thus reducing its significance. Therefore, it is important to always re-run the regression model once a new variable has been added to ensure that the original variable still has a significant effect.
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Select the correct order of steps to match the work shown.
10 x+5=-4 x+47
14 x+5=47
14 x=42
x=3
Divide 42 by 14 .
Add 4x to the 10x
Subtract 5 from the 47.
The correct order of steps to match the work shown is Add 4x to the 10x, Subtract 5 from the 47, and Divide 42 by 14, and the value of x is 3.
What is the equation?In other terms, an Equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Given:
10 x + 5 = -4 x + 47
Firstly, Add 4x to the 10x as shown below,
10 x + 4 x + 5 = 47
14x + 5 = 47
Subtract 5 from the 47,
14x = 47 - 5
14x = 42
Divide 42 by 14,
x = 42 / 14
x = 3
Thus, the value of x is 3.
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The graph of a function must be linear if it has what characteristic?
The graph of a function must be linear if it has ''a constant slope.''
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The graph of a function must be linear.
Now,
We know that;
A linear function graphs as a straight line if It will have a constant rate of change.
Thus, The graph of a function must be linear if it has ''a constant slope.''
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What are the explicit equation and domain for an arithmetic sequence with a first term of 3 and a second term of 5?
The explicit equation for the arithmetic sequence whose first term and second term are 3 and 5 respectively is; a (n) = 3 + 2 (n - 1).
The domain of such an arithmetic sequence includes the set of all positive integers, n.
What is the explicit equation of the arithmetic sequence as described?Recall that the explicit equation of an arithmetic sequence takes the form;
a (n) = a (1) + d (n - 1).
where; a (n) is the nth term of the sequence.
a (1) = the first term of the sequence.
and d = common difference between each successive terms.
On this note, the required explicit equation of the arithmetic sequence is; a (n) = 3 + 2 (n - 1) since the common difference, d = 5 - 3 = 2.
The domain is the set of all possible values of n which includes all positive integers.
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All parallelograms have opposite sides that are equal in length and parallel.
Which of these quadrilaterals are parallelograms?
The matching arrow labels indicate that two opposite sides are parallel.
The first and the third quadrilateral is parallelogram and the second one is not parallelogram.
What is Quadrilateral?Quadrilaterals are the closed figures or polygons in two dimensional geometry which has four vertices, four sides and four angles.
All parallelograms have opposite sides that are equal in length and parallel.
The first quadrilateral has two opposite sides equal. Also matching arrow indicates they are parallel.
So the first figure id parallelogram.
Second figure does not have equal opposite sides and parallel opposite sides.
So the second one is not parallelogram.
The third figure also has equal opposite sides and parallel opposite sides.
So the third one is parallelogram.
Hence the quadrilaterals shown in the first and third figures is parallelogram.
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Leila took a nap. She fell asleep at 11:40 AM and she woke up at 2: 13 PM. How long did she sleep?
Answer:
2 hours 33 mins
Step-by-step explanation:
Answer: 2 Hours and 47 minutes
Step-by-step explanation:
Every pupil in class either swims or dances or both. Three fifths of the class swim and three fifths dance. Five pupil both swim and dance. How many pupils are there in the class?
Five pupils both swim and dance. Then the number of pupils in the class will be 25.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Every pupil in class either swims or dances or both. Three-fifths of the class swim and three-fifths dance. Five pupils both swim and dance.
Let 'x' be the total number of pupils. Then the equation is given as,
A∪B = A + B - A∩B
x = (3/5)x + (3/5)x - 5
x = (6/5)x - 5
(1/5)x = 5
x = 25
Then the number of pupils in the class will be 25.
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Kayla tutors for $20 an hour, and shovels snow for
$15 an hour. Kayla hopes to make at least $50 between
her two jobs, but she can only work a maximum of 3
hours. Write a system of inequalities to represent the
context.
x = hours tutoring
y = hours shoveling snow
so Kayla will be tutoring for "x" hours at 20 bucks a pop, so she'll make a total amount of 20*x or 20x.
Kayla is going to be shoveling snow "y" hours at 15 bucks a pop, so she'll make the whooping amount of 15*y or 15y.
whatever "x" and "y" are, their sum must be no more than 3
x + y ⩽ 3whatever the sums of 20x and 15y are, their sum must be at least 50 bucks
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What is the length of the added metal bar?
The length of the added metal bar is exactly 5cm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given cuboid the length is of 4 meters
The height is 3 meters.
We need to find the length of the added metal bar.
We can find this by using pythagoras theorem
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
In the given figure the added metal bar is the hypotenuse.
4²+3²=d²
25=d²
d=5
Hence, the length of the added metal bar is exactly 5cm.
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what is 22 x 47,389???
22 x 47,389 = 1,042,558
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