Answer:
5
Tips to Add Negative and Positive Numbers:
1.) Adding a negative number to a positive number is subtracting it.
example: 5 + (-3) = 5 - 3
2.) Adding a positive number to a smaller negative number is subtracting the smaller number by the larger one.
example: -3 + 5 = 5 - 3
3.) Adding a positive number to a larger negative number is having the positive number subtracted by the larger negative.
example: -5 + 3 = 3 - 5 (but the final answer needs a negative sign)
4.) Adding a negative number to another negative number is adding the numbers together, but with a negative sign in the final calculation.
example: -3 + (-2) = 3 + 2 (but the final answer needs a negative sign)
5.) I think you know how to add two positive numbers
(I know the wording of the tips can be confusing, so make sure to look at the examples if you don't understand)
SNOWFALL In February 2015, South Bend, Indiana , saw one of its snowiest Februarys on record. The snowfall in February 2015 was 0.6 inch more than twice the snowfall in February 2020. The snowfall in February 2015 was also 8.35 inches fewer than 2.5 times the snowfall in February 2020. Write and solve an equation to find the amount of snowfall in February 2015 and in February 2020 .
The amount of snowfall in February 2015 was 36.4 inches and the amount of snowfall in February 2020 was 17.9 inches
Solving system of equationsFrom the question, we are to determine the amount of snowfall in February 2015 and in February 2020
Let the amount of snowfall in February 2015 be x
and the amount of snowfall in February 2020 by y
From the given information,
"The snowfall in February 2015 was 0.6 inch more than twice the snowfall in February 2020"
That is,
x = 0.6 + 2y
Also, from the information
"The snowfall in February 2015 was also 8.35 inches fewer than 2.5 times the snowfall in February 2020"
x = 2.5y - 8.35
Now,
Solve the system of equations simultaneously
x = 0.6 + 2y -------- (1)
x = 2.5y - 8.35 -------- (2)
Equate equations (1) and (2)
0.6 + 2y = 2.5y - 8.35
0.6 + 8.35 = 2.5y - 2y
8.95 = 0.5y
y = 8.95/0.5
y = 17.9
Substitute the value of y into equation (1)
x = 0.6 + 2y
x = 0.6 + 2(17.9)
x = 0.6 + 35.8
x = 36.4
Hence, the amount of snowfall in February 2015 was 36.4 inches and the amount of snowfall in February 2020 was 17.9 inches
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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.
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
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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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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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!!!!
(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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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]
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?
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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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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f(x) = -3/5 x-17
If f(x) = -2, find x.
Answer:
x = 5/44
Step by Step:
First start with -2 = -3/5 x-17, once you do that you see that you need to make the x in -3/5 x-17 make the equation equal -2. Requiring knowledge of basic multiplication in the negatives. Once you find the number to multiply by, in this equation would be 5/44, you multiply.
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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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!
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
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:
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
Subtract 8y+7 from 4y-8
-4y-1
Step-by-step explanation:
If you subtract [tex]{ \green{ \tt{8y + 7}}} [/tex]from [tex]{ \red{ \tt{4y - 8}}}[/tex] then the resultant answer will be as follows
[tex] \: \: \: \: \: { \red{ \tt{4y - 8}}} \\ - \ \: { \green{ \tt{8y + 7}}} \\ = -{ \blue{ \tt{ 4y - 1}}}[/tex]
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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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
Simplify by combining like terms.
3x^2y^2 + 4xy - 2x^2y^2 - 6xy
Hello,
3x²y² + 4xy - 2x²y² - 6xy = x²y² -2xy
drink(s) within a 4 hour time span, regardless of height and weight, can get you a bac of .01% .
1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.
Blood Alcohol Content (BAC) is a measure of alcohol in the blood as a percentage. It is calculated in grams per 100 mL of blood, so a BAC of 0.08 means your blood is 0.08% alcohol by volume.
Here, the BAC = 0.1%
Time span = 4 hours
We know,
BAC is a measure of alcohol in the blood as a percentage
Alcohol leaves the body at an average rate of 0.015 g/100mL/hour
Hence, 1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.
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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)
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
13. Determine the equation of the polynomial with degree 4 whose graph is shown in the figure.
The equation of the polynomial on the graph is P(x) = x^2(x - 2)(x + 2)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the equation of the polynomial?The graph represents the given parameter
On the graph, we have the following points
Points that the graph crosses the x-axis: x = 2 and -2Points that the graph turns on the x-axis: x = 0The multiplicities at these points are
Points that the graph crosses the x-axis: 1Points that the graph turns on the x-axis: 2Using the above as a guide, the equation of the polynomial is
P(x) = (x - x value)^Multiplicity
So, we have
P(x) = (x - 2)^1 * (x + 2)^1 * (x - 0)^2
The above equation becomes
P(x) = (x - 2) * (x + 2) * x^2
Evaluate
P(x) = x^2(x - 2)(x + 2)
Hence, the equation of the polynomial on the graph is P(x) = x^2(x - 2)(x + 2)
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on a 1375-mile flight, an airplane's average speed is 550 miles per hour. the flight is within a single time zone and leaves at 10 am. What time will the airplane arrive at its destination
The time the airplane will arrive at its destination is; 12:30 pm
What is the relationship between distance and time?
The relationship between distance, time and speed is;
Speed = Distance/time
Now, we are given;
Distance = 1375 miles
Speed = 550 miles per hour
Thus;
Time = Distance/Speed
Time taken = 1375/550
Time taken = 2.5 hours
Thus, if he leaves by 10 am, then the time to arrive is;
10 am + 2.5 hours = 12:30 pm
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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
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)