The ratios are equivalent
How to find equivalent ratios?Ratio shows the relationship that exists between values. It shows the proportion of one value in another value.
In other words, ratios says how much of one thing there is compared to another thing.
Therefore,
Ratio of peanuts to raisins in the first version = 3 : 2
divide both numbers by 2
1.5 : 1
Ratio of peanuts to raisins in the second version = 4.5 : 3
divide both numbers by 3
1.5 : 1
The ratios of the first and second trail mix are equivalent because they are both 1.5 : 1
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to answer this question, you may find the following information useful: the contiguous united states (all of the states minus alaska and hawaii) can be approximated as a rectangle that measures 1000 miles north to south and 3000 miles east to west
In order to cover the entire land area of United States with dollar bills, it would cost 9 × 10¹⁴ dollars.
What is a conversion factor?A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.
Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.
Conversion:
1 mile = 160934 cm
Length of contiguous land = 160934 × 3000 miles = 482,802,000 cm.
Width of contiguous land = 160934 × 1000 miles = 160,934,000 cm.
Mathematically, the area of a rectangle can be calculated by using this formula;
Area of rectangle = length × width
Area of contiguous land = 482,802,000 × 160,934,000
Area of contiguous land = 77,699,257,068,000,000 cm²
Next, we would determine the area of Alaska:
Area of Alaska = 1/5 × 77,699,257,068,000,000
Area of Alaska = 15,539,851,413,600,000 cm²
Total area = Area of Alaska + Area of contiguous land
Total area = 15,539,851,413,600,000 + 77,699,257,068,000,000
Total area = 93,239,108,481,600,000 cm²
Also, the area of a dollar bill is given by:
Area of dollar bill = 6.5 × 15.5
Area of dollar bill = 100.75 cm²
Now, we can determine the cost:
Cost = Total area/Area of dollar bill
Cost = 93,239,108,481,600,000/100.75
Cost = 9 × 10¹⁴ dollars.
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Complete Question:
How much would it cost to cover the entire land area of United States with dollar bills? To answer this question, you may find the following information useful:
The contiguous United States (all of the states minus Alaska and Hawaii) can be approximated as a rectangle that measures 1000 miles north to south and 3000 miles east to west, while Alaska has about one-fifth the area of the contiguous states and Hawaii is small enough to be ignored for this rough calculation. Also, note that a dollar bill measures around 6.5cm × 15.5cm. Express your answer to one significant figure!
Choose an expression for the input-output table. Next, using a variable for the value in the input column, determine the next two values in the table if the table were followed.
Option a, 2x + 1, 6 and 13, 7 and 15.
Here, we are given input-output table as shown in the figure.
To find the equation for this table let us look at each option one by one-
a. 2x + 1
Here if we take input x = 2
output = 2(2) + 1
= 5
If x = 3
output = 7
and if we check for other values also, 2x + 1 will satisfy.
Thus, 2x + 1 is the correct equation.
we can check the points as well-
if x = 6
output = 2(6) + 1 = 13
and if x = 7
output = 2(7) + 1
= 15
Since, we've found the correct answer in option a, we do not need to check the other options.
Thus, option a is the correct answer.
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13 and 9 please help
Answer:
x>-4, x<=27.5
Step-by-step explanation:
First mark your digits on the number line. For question 9, it seems that x>-4, so mark that on your number line and draw an empty circle with an arrow pointing right.
For 13 multiply both sides by 5/4, and your answer is 27.5>=w. Mark it down with a filled in circle and an arrow going to the left.
Mr. Zuro finds the mean height of all students in his statistics class to be inches. Just as mr. Zuro finishes explaining how to get the mean, danielle walks in late. Danielle is inches tall. What is the mean height of the students in the class?.
Mean height of the students in the class = 65.7 inches
The mean height of all 12 students in the class is 66.0 inches.
So the Total height of 12 students in the class = 66 × 12
= 792 inches
As Danielle's height = 62.1 inches
So the total height of 13 students = 792 + 62.1
= 854.1 inches
Mean of all 13 students in the class = 854.1 / 13
= 65.7 inches
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The complete question:
Mr. Zuro finds the mean height of all 12 students in his class to be 66.0 inches. Just as Mr. Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 62.1 inches tall. What is the mean of the 13 students in the class?
Does the figure below appear to have line symmetry? If so, how many lines of symmetry?
Answer:
Yes
Step-by-step explanation:
Wouldn't there be 3? because lines of symmetry is basically two lines that look the same and are the same. so the points on the end counts as 2 since it's on opposite side, and the two lines in middle count as 1. So I am going with 3 symmetrical lines amount.
a bus picks up a group of tourists at a hotel. the sightseeing bus travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south. where is the bus in relation to the hotel?
According to the given statement East of the hotel, the bus is four blocks east away.
How can direction issues be fixed?It is one of the subjects covered on almost all admission tests. Logical and analytical abilities are required to address the issue's queries. Mastering the "Directions" topic will make learning about seating arrangements easier.
According to the given data:When a sightseeing bus picks up a group of visitors at a hotel and travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south, the following calculation must be performed to establish where the bus is in respect to the hotel:
Northern and Southern, like East and West, are adversarial.2 N + 2 E - 1S + 2E - 1S2 N - 2S = 02E + 2 E = 4ETo know more about directions, visit:
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6. The function R(x) = 2 + 3.5 represents the number of feet the tide moves x
minutes after 4 pm.
a. Find R(17) =
By substituting the value of x as 17 in the function R (x) = 2 x + 3.5, we get the value of R ( 17 ) as 37.5.
We are given a function:
R (x) = 2 x + 3.5
where x represents the number of feet the tide moves x minutes after 4 pm.
Now, we are asked to find R (17)
For this, we need to substitute the value of x as 17 that is we need to put x = 17 in the function that is given to us.
R ( x = 17 ) = 2 ( 17 ) + 3.5
R ( 17 ) = 34 + 3.5
R ( 17 ) =37.5
Therefore, by substituting the value of x as 17, we get the value of R ( 17 ) as 37.5.
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Find the equation in point-slope from of a line that has a slope of 1/2 and goes through the point (-4,1)
Answer:
kmskswwkwwekeke NM. smsskskks
Use the properties of exponents to simplify the given expression. First express the answer in exponential form. Then evaluate the expression. 3^5/3^7
Answer:
3^-2
Step-by-step explanation
Subtract the exponent on the denominator from the exponent on the numerator
5-7=-2
keep the 3 and apply the -2 exponent
Which trigonometric functions are undefined when = 0? (enter the abbreviation for each function. enter your answers as a comma-separated list. let (, ) be a point on the unit circle.)
The functions cosecant and cotangent are undefined when functions sine and tangent are equal to zero.
What trigonometric functions are undefined when the angle is zero?A function becomes undefined when its denominator becomes zero. In the case of trigonometric functions we know that both sine and tangent of 0° are equal to zero. In addtion, there are two following trigonometric formulas:
csc θ = 1 / sin θ
cot θ = 1 / tan θ
Thus, the functions cosecant and cotangent are undefined when functions sine and tangent are equal to zero.
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2 (1,5 x 1,2 m) cm ²
Answer:
360 milliliters
Step-by-step explanation:
2 (1,5 x 1,2 m) cm ² (wink wink)
Is a triangle with side lengths of 2 millimeters, 2.5 millimeters, and 3 millimeters a right triangle?
The triangle with side lengths of 2 mm, 2.5 mm, and 3 mm is not a right triangle because it does not obey Pythagoras theorem.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Pythagoras theorem states that for a right angled triangle:
Hypotenuse² = Adjacent² + Opposite²
To prove that a triangle with side lengths of 2 mm, 2.5 mm, and 3 mm a right triangle:
3² = 2² + 2.5²
9 = 4 + 6.25
9 ≠ 10.25
The triangle with side lengths of 2 mm, 2.5 mm, and 3 mm is not a right triangle because it does not obey Pythagoras theorem.
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Simplify by combining like terms.
3x^2y^2 + 4xy - 2x^2y^2 - 6xy
Hello,
3x²y² + 4xy - 2x²y² - 6xy = x²y² -2xy
two trains leave stations 560 miles apart at the same time and travel toward each other. one train travels at 95 miles per hour while the other travels at 105 miles per hour. how long will it take for the two trains to meet?
It will take 2 hours 48 minutes for the two trains to meet.
For given question,
Two trains leave stations 560 miles apart at the same time and travel toward each other.
One train travels at 95 miles per hour while the other travels at 105 miles per hour.
This means the speed one train is 95 mph while the speed of other train is 105 mph.
Let t be the time in hours for two trains to meet.
From given scenario,
⇒ 560 = (105 + 95)t
⇒ 560 = 200 t
⇒ t = 2.8 hours
1 hour = 60 minutes
So, 0.8 hours = 48 minutes
⇒ 2.8 hours = 2 hours 48 minutes
This means, both trains meet after 2 hours 48 minutes
Therefore, it will take 2 hours 48 minutes for the two trains to meet.
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Evaluate the expression on top we have (4•3)^2 and on bottom we have 9+3
Answer:
12
Step-by-step explanation:
12² is 144/9+3 is 144/12
Answer: Raise 2 to the power of 3
9+3=12
Step-by-step explanation: hope this helps!!!!
Large numbers are those numbers that have a bigger value than the numbers that we use in daily life. such numbers tend to create a sense of fear among children and they often skip solving problems that have large numbers in them. for example, 1 million, 1 billion, etc., are large numbers that are used either to show the population of a country or express large amounts of money in a bank account.
These periods are named as ones, thousands, lakhs, and so on. The one's period consists of the first three digits of the large number, starting from the right.
Everyone learns how to count numbers at a very young age starting from a single digit up to seven digits. This is done with the help of the place value system.
While writing large numbers, we always keep the place value system in mind to ensure that it is written correctly. According to the Indian place-value system, when a number is written in the standard form, each group of digits separated by a comma is called a period.
These periods are named as ones, thousands, lakhs, and so on. The one's period consists of the first three digits of the large number, starting from the right. The thousands period consists of the next two digits. The lakhs period consists of the next two digits and it continues.
Some other large numbers are read and written as follows:
1,000,000,000 = one billion
1,000,000,000,000 = one thousand billion
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50 points plus brainliest please help screenshot provided
Answer:
Equation: [tex]\sf 3x + x + 14 = 90[/tex]
m∠1 = 57°
m∠2 = 33°
Explanation:
A right angle triangle has 90° angle measure.
Here:
m∠1 + m∠2 = 90°
(a)
Substitute given values:
(3x) + (x + 14) = 90
simplify
4x = 90 - 14
evaluate
4x = 76
divide both sides by 4
x = 19
(b)
m∠1 = 3x = 3(19) = 57°
m∠2 = x + 14 = 19 + 14 = 33°
Answer:
[tex]\textsf{(a)} \quad (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}[/tex]
[tex]\textsf{(b)} \quad m \angle 1=\boxed{57}\:^{\circ}[/tex]
[tex]m \angle 2=\boxed{33}\:^{\circ}[/tex]
Step-by-step explanation:
From inspection of the given diagram:
[tex]m \angle 1=(3x)^{\circ}[/tex][tex]m \angle 2=(x+14)^{\circ}[/tex]Part (a)A right angle is 90° and is represented by the ∟ symbol.
To find x, equal the sum of the angles to 90° and solve for x:
[tex]\implies m \angle 1+m\angle2=90^{\circ}[/tex]
[tex]\implies (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}[/tex]
[tex]\implies 3x+x+14=90[/tex]
[tex]\implies 4x+14=90[/tex]
[tex]\implies 4x+14-14=90-14[/tex]
[tex]\implies 4x=76[/tex]
[tex]\implies 4x \div 4=76 \div 4[/tex]
[tex]\implies x=19[/tex]
Part (b)To find the degree measure of each angle, substitute the found value of x into the expression for each angle.
[tex]\implies m \angle 1=(3 \cdot 19)^{\circ}=57^{\circ}[/tex]
[tex]\implies m \angle 2=(19+14)^{\circ}=33^{\circ}[/tex]
6. Розв'яжіть систему рівнянь способом додавання
79
Відповідь:
3x + 4y = -1,
-3x + 7y = 23.
Відповідь:
Answer:
x= -85/33 ; y=2
Step-by-step explanation:
The simultaneous equation first when we add the y vale become 2, y=2 then to get x value the first equation multipled by -7 & the second equation by 4 the we will gate x=-85/33
F(x)= 2x^2-3x-9 G(x)= 4x^2-9 find (f/g) (x)
Answer:
(f/g)x = (x - 3)/(2x - 3). Step-by-step explanation: Try and see if f(x) can be factored. g(x) = (2x - 3) (2x + 3).
Step-by-step explanation:
(8x-9y=-13
(2x-3y = -7
Answer:
the answer is x=17,y=14/3
Answer:
x=4 y=5
Step-by-step explanation:
8x-9y=-13
2x-3y=-7
Solve for y:
Multiply the bottom by 4 to have the x's equal each other and cancel out:
8x-9y=-13
8x-12y=-28
Then subtract:
0x+3y=15
y=15/3 -> y=5
Solve for x:
Multiply the bottom by 3 to have the y's equal each other and cancel out:
8x-9y=-13
6x-9y=-21
Then subtract:
2x=8
x=4
Random groups of 30 teachers were asked the starting annual salary for their
first teaching job. The sampling variability was low. If the average salary of
several of the groups was close to $51,000, which of these is least likely to be
the average salary of another one of the groups?
If the average salary of several of the groups was close to $51,000 then least likely to be the average salary of another one of the groups are equal to $41,000.
Random groups of teachers are = 30
If the average salary of several of the groups was close to equal to = $51,000
The mean, or average, salary is the amount derived by adding two or more salary values and dividing the sum by the number of values.
So we can write,
The average wage is known to be close to $41,000
$41,000 < $51,000
Therefore,
The average salary of another one of the groups are equal to $41,000.
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Name a Linear Pair.
Answer:
MSN < LSO
Step-by-step explanation:
Identical Shapes which makes them linear pairs because they pair with each other.
Thanks Please Mark Brainliest, (Trying to rank to genius)
what is a absoulte value?
Answer:
Absolute value is how many steps it takes to get to 0
Step-by-step explanation:
For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero
Answer:
The magnitude (true distance from zero) of a number or measurement, regardless of sign. Usually the true positive value of a number.
Examples:
|–6| = 6
|4| = 4
|200| = 200
|–5000| = 5000
|0.5| = 0.5
Which is the angle measured in a horizontal circle around your horizon? ecliptic equator azimuth right ascension
Azimuth is the angle measured in a horizontal circle around your horizon.
In this question,
The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.
A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.
Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).
The meridian is an imaginary North-South line running through the zenith.
Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.
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A rectangular prism is 4units high,2wide,and 6 units long what is it's surface area in square units
Answer:
9514 1404 393
Step-by-step explanation:
Answer:
the area is 88
Step-by-step explanation:
2(wl+hl+hw) <- formula
5=5/ax+1
Help?? I need to find the value of x. I don’t have the value of a
The value of a is zero from the given expression
Subject of formulaSubject of formula is a way of representing a variable with another variable.
Given the expression below;
5=5/ax+1
We are to make x the subject of the formula
1 =1/ax+1
Cross multiply
ax+1 = 1
ax = 1-1
ax = 0
Find the value of a
a = 0/x
a = 0
Hence the value of a is zero from the given expression
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april needs to rent a car while on vacation. the rental company charges $18.95, plus 16 cents for each mile driven. of april only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Answer:
Step-by-step explanation:
18.95+.16 = 19.11
answer is 2 miles is the maximum
The point (-6,-5) across y=-x
Answer:
(5, 6 )
Step-by-step explanation:
under a reflection in the line y = - x
a point (x, y ) → (- y, - x ) , then
(- 6, - 5 ) → (5, 6 )
107 + 78 pls help will mark brainiest
Answer:
185
Step-by-step explanation:
Answer:
Step-by-step explanation:
100 + 70 = 170
7+8= 15
170+15 = 185
170 + 78 +185
What is the equation and the total amount? last one for this topic
w=28t+600
908 liters
here you go :)