The measurement of the fold leaflet shorter dimension stays same but the longer side becomes 99 mm.
What are referred as dimension?In mathematics, dimensions are the measurements of the size or distance between an object, region, or space in one direction. In layman's terms, it refers to the measurement of something's length, width, and height.
Dimensions are commonly expressed as follows:
LengthBreadthWidthHeight or DepthA leaflet is mainly folded into thirds just on long side, so the short side remains unchanged while the long dimension has become 1/3, or 297/3 = 99 mm.
The final dimensions are
210 mm × 99 mm
Therefore, the measurement of the sorter side of the fold leaflet remains same but longer side becomes 99 mm.
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The complete question is-
Another job is advertising leaflets printed on sheets of A4 paper (210 x 297 mm).
The sheets are then folded into thirds as shown.
What are the measurements in millimetres of each folded leaflet?
Solve for x
3x-1=11
Answer: x = 4
Step-by-step explanation:
Given:
3x - 1 = 11
Add 1 to both sides of the equation:
3x = 12
Divide both sides of the equation by 3:
x = 4
the middle term of the expansion
[tex] (ax + ay)^{n} [/tex]
is
[tex]14580x ^{3} y^{3} [/tex]
find the value of a and the value of n, where a, n are elements of N.
Answer:
Hello,
a=3
Step-by-step explanation:
Since the middle term is x^3y^3 ==> n=6
Coefficient of x^3y^3 is 20 (triangle de Pascal)
So a^6= 14580/20=729 ==> a=3
Find the value of B in the following equation if you know it
goes through the point (-4,1).
5x - 3y = B
B =
Answer:
17
Step-by-step explanation:
We can substitute x = -4 and y = 1 since the point lies on the line.
[tex]5(-4)-3(1)=B \\ \\ B=17[/tex]
ow:
(7-21)-(4+ 8) =
Answer:-26
Step-by-step explanation:
Answer:-14-12=-26
Step-by-step explanation: PEMDAS. You do the first parentheses which is 7-21, which will get you -14. Then you do the second parentheses, 4+8. That will get you 12. Then since there’s no multiplication/division, you go to addition/subtraction and since there’s a subtraction symbol in between the parentheses, that’s what you do. -14-12 which will get you -26.
Hope this helps!
Btw PEMDAS stands for (for those people who don’t know or don’t remember)
Parentheses
Exponents
Multiplication*
Division*
Addition’
Subtraction’
*do both together, whichever one comes first when reading it
’do both together, whichever one comes first when reading it
I don’t understand, can someone help me :)
I think you are supposed to add the the numbers in that row and if it's more that 18 and less that 37 that's the answer. exapmle:
2,8,3,9,5
Add those together and get 27. 27 is less than 37 and more that 18 so it would be one of the answers.
I could be wrong but I'm pretty sure that is what you do
Jacob built a box with a volume of 90 cubic meters.
Choose all the boxes that Jacob could have built.
Answer:
A and D
Step-by-step explanation:
[tex]\sf \boxed{\text{\bf Volume of rectangular box = length * width * height}}[/tex]
A) Volume of the given box = 6 * 3 * 5
= 90 cubic meters.
D) Volume of the given box = 3 * 2 * 15
= 90 cubic meters
Answer this question please
GIVING BRAINIEST IF CORRECT!!!!
Multiply and express in simplest radical form.
Write
17/100
as a decimal number.
Answer: 0.17
Step-by-step explanation:
Plug the equation into a calculator (17 divided by 100).
You can also think of the problem like this; move both decimal places to the left twice since, in 100, there are two 0's.
17 -> 0.17
100 -> 1
This can also work with 17 and 1000, but you would have to move the decimal place three times.
17 -> 0.017
1000 -> 1
Graph the line with slope
-1/2
passing through the point (-1,-4)
Equation of the line with slope -1/2 passing through the point (-1,-4) is x + 2y = -9
Given,
the slope of the line = -1/2
the line passes through the point (-1,-4)
=> s = -1 and t = -4
The following equation can be used to find the line's equation:
( y - t ) = slope ( x - s )
We get by substituting the values in the equation
=> y + 4 = - 1/2 * ( x + 1 )
=> x + 2y = -1 - 8
=> x + 2y = -9
Therefore, by using the formula for equation of line, we get the equation of the line with slope -1/2 passing through the point (-1,-4) as x + 2y = -9
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El 32%de 125 cual es la respuesta
Answer:
40
Step-by-step explanation:
=125x32
=4,000÷100
=40
each day a bobcat drinks about 3 times as much water as a canada goose drinks. how much water can a bobcat drink in 1 day?
The water that a bobcat drink in 1 day will be 3x.
How to calculate the value?Let the amount of water be represented by x.
From the information, it was stated that each day a bobcat drinks about 3 times as much water as a canada goose drinks.
Let the water that the Canada goose drank be represented as x
Therefore, the water that a bobcat drink in 1 day will be 3x.
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I`m trying to figure this out. Please see question with multiple choices.
The equivalent expression of (10⁻² . 4⁵)⁻² is 10⁴ / 4¹⁰
How to find equivalent expression?We have to find the expression that is equivalent to the expression below:
(10⁻² . 4⁵)⁻².
Therefore, using the law of indices,
[tex](x^{a} )^{b} = x^{ab}[/tex]
Hence, let's find the equivalent expression by applying the laws of indices.
(10⁻² . 4⁵)⁻² = 10⁴ . 4⁻¹⁰
Also, applying the law of indices,
[tex]x^{-b} = \frac{1}{x^{b} }[/tex]
Therefore,
10⁴ . 4⁻¹⁰ = 10⁴ / 4¹⁰
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How do you perform the indicated operation, 8 x 10^16/4 x 10^11?
8 x 10^16/4 x 10^11
do exponents first
8 x 10,000,000,000,000,000/4 x 100,000,000,000
than multiply
80,000,000,000,000,000/4 x 100,000,000,000
than divide
20,000,000,000,000,000x 100,000,000,000
2,000,000,000,000,000,000,000,000,000
The dose of posaconazole in the treatment of oropharyngeal candidiasis is 100 mg twice a day on the first day and then 100 mg once a day for the next 13 days. Posaconazole oral suspension (posaconazole, 40 mg/mL) is available in 4-fluidounce bottles. How many bottles should be dispensed to meet the dosing requirements?
The number of 4-fluidounce bottles that should be dispensed to meet the dosing requirements for the treatment of oropharyngeal candidiasis is 37.5 bottles.
How is the number of bottles determined?To determine the number of 4-fluidounce bottles, we apply mathematical operations of addition, subtraction, division, and multiplication.
First, the total dosage is determined as 1,500 mg.
Since 40 mg/mL is available in 4-fluidounce bottles, the total dosage is divided by 40 mg/mL to determine the number of bottles required.
Data and Calculations:Dose of posaconazole for the first day = 100 mg twice
= 200 mg (100 mg x 2)
The total number of days for the dosage = 14
Dose for next 13 days = 1,300 mg (100 mg x 13)
Total dosage = 1,500 mg (200 mg + 1,300 mg)
40 mg/mL = 4-fluidounce bottle
1,500 mg = 37.5 bottles (1,500/40)
Thus, the number of 4-fluidounce bottles is 37.5 bottles.
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Two consecutive positive integers such that the square of the second integer added to 4 times the first is equal to 41
Answer:
4 and 5
Step-by-step explanation:
We need 2 positive numbers that are right beside each other, like 1 and 2. When the problem is translates into number format we get:
y^2+4x=41
x = 1st # and y = 2nd #
so if we do 4 (x) and 5 (y)
5^2+4(4)=41
the statement is true.
What is the value of the digit in the ones place in each number?431
Answer:
Step-by-step explanation:
400
30
1
400 FOR HUNDREDS
Solve for X: 4x+3x-x=-5+6x
Since the values on both sides of the expression are different, hence the equation has no solution.
Solving linear equationsLinear equation are equations that has a linear degree of 1. The standard linear equation is y = mx + b
Given the expression 4x+3x-x=-5+6x
Collect the like terms
4x+3x-x = -5+6x
4x+3x-x-6x = -5
7x - 7x = -5
Simplify
-0x = -5
0x = 5
x = 5/0
Since the values on both sides of the expression are different, hence the equation has no solution.
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The value of x is -5
What are algebraic expressions?Algebraic expressions are expressions that comprised of;
variablestermsfactorscoefficientsconstantsThey are also made of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc
Given the equation;
4x + 3x = -5 + 6x
Let's solve for x
We have;
collect like terms
4x + 3x - 6x = -5
Add or subtract like terms
7x - 6x = - 5
x = -5
Thus, the value of x is -5
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50 POINTS The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.
A=h(a+b)/2
Solve for b.
Answer:
[tex]\mathrm{b = 2\frac{A}{h} - a}[/tex]
Translation:
Option C.
3. Log(x) +2= log(y) Which is larger x or y and by how much?
Answer:
y is 100 times larger than x===========================
Use identities[tex]log (a) + log (b) = log (ab)[/tex],[tex]a = log (10^a)[/tex],If [tex]log (a) = log (b)[/tex], then a = b.Rewrite and comparelog (x) + 2 = log (y)log (x) + log (10²) = log (y)log (x) + log (100) = log (y)log (100x) = log (y)100x = yy = 100xy is greater by 100 times
1 2/3 + 3 3/4 as a fraction
Answer:
5/3 + 15/4 are the fractions
Graph the function. Identify the domain and range.
Hunter measured the middle school and made a scale drawing. The scale he used was 1 inch : 10 feet. The gym is 7 inches wide in the drawing. How wide is the actual gym?
Answer:
70 ft
Step-by-step explanation:
You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.
Scale factorEach inch represents 10 feet, so 7 inches will represent ...
7 × 10 ft = 70 ft
The gym is 70 ft wide.
__
Additional comment
You can also write and solve an equation that shows the measures are proportional:
actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)
Multiplying both sides of this proportion by 7 in, we have ...
gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft
Write the equation in point-slope form of the line that passes through (-8, 2) and has the slope of −34 .
Answer:
y = -34x - 270
Step-by-step explanation:
m = -34, y = 2, x = -8
y = mx + b
2 = -34(-8) + b
b = 2 - 272
b = -270
y = -34x - 270
One liter of interior paint covers 100 square feet. How many gallons of paint does it take to cover 800 square meters of walls?
By doing some changes of units, we can see that we will need 22.61 gallons of paint to cover 800 square meters.
How many gallons does it take to cover 800 square meters of walls?
We know that with one liter of interior paint we can cover 100 square feet.
Remember the relation between square feet and square meeters:
1ft^2 = 0.092 m^2
Then with one liter we can cover:
100ft^2 = 100*0.092 m^2 = 9.2 m^2
So the number of liters of paint that we need to cover the 800 m^2 is given by the quotient:
L = 800m^2/9.2m^2 = 86.96
We need 86.96 liters of paint, and the relation between liters and gallons is:
1 L = 0.26 gal
Then we need:
86.96 L = 86.96*(0.26 gal) = 22.61 gal
We will need 22.61 gallons of paint to cover 800 square meters.
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Which table represents y as a function of x?
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
An equation represents a represents only when there is a unique value of x for every value of y. when it represents u as a function of x.
i.e if we draw lines parallel to y axis and it cuts the curve two or more than two times at a particular value of x then it doesn't represent a function at all.
And as we can see in the given tables,
1.) 12.23 is the value of x for both 5.4 and 6.4
2.) 0.31 is the value of x for both 55 and 59
4.) 20 is the value of x for both 245 and 255
So, the only table representing y as a function of x is table 3.
Answer:
table 3 is correct i took the test
Step-by-step explanation:
Construct a frequency distribution for the data using five classes. Describe the shape of the distribution.
The data set: ages of dishwashers (in years) in 20 randomly selected households
table ( (12 6 4 9 11 1 7 8 9 8)(9 13 5 15 7 6 8 8 2 1) )
The shape of the distribution of the given data set is : Bell shaped
What is Frequency distribution ?
Frequency distribution, in statistics, a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times. Simple examples are election returns and test scores listed by percentile. A frequency distribution can be graphed as a histogram or pie chart.
Data: 12 6 4 9 11 1 7 8 9 8 9 13 5 15 7 6 8 8 2 1
Classes = 5
Class Frequency
1-3 →3
4-6 →4
7-9 →9
10-12 →2
13-15 →2
The shape of the distribution is peak at the center and down at both the ends,
Therefore, we can say that the shape of the distribution is bell shaped.
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Question
Simplify: (-12az² — 2z³) + (-2a³ +7a²z) − (−4a²z + 8az²),
I WIL VOTE BRAINLISET SOMEONE PLEASE HELP
Answer:
26.0 cm
Step-by-step explanation:
Given quadrilateral ABCD with diagonal BD forming triangles ABD and BCD, and angles A=90°, C=52°, ADB=35°, and CBD=52°, you want the length of CD to 3 significant figures.
Law of SinesThe law of sines tells you the relation between sides and opposite angles is ...
a/sin(A) = b/sin(B) = c/sin(C)
This lets us write two proportions that can be solved for the measure of CD.
In triangle ABD:
BD/sin(A) = AB/sin(D)
BD = AB·sin(90°)/sin(35°) = 12 cm/sin(35°) ≈ 20.921 cm
In triangle BCD:
CD/sin(B) = BD/sin(C)
CD = BD·sin(B)/sin(C) = 20.921 cm·sin(102°)/sin(52°) ≈ 25.969 cm
The length of CD is about 26.0 cm.
Answer this question please
The correct option is option B) which is that the statement is true for all real numbers.
According to the question we have been given the inequality equation as
|2s-7| ≥ -1
We know that for b<0,
if |a| ≥ b then all real numbers.
Here we have been given,
|a| = |2s-7|
b = -1 <0
As it is fulfilling the above condition and also all the absolute values are non-negative. Therefore the statement is true for all real numbers.
Hence the solution of the |2s-7| ≥ -1 is true for all real numbers that is option B) is the correct option.
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