Step-by-step explanation:
Multiply both sides of the equation by 24, the least common multiple of −8,6
−3x=4×12
Multiply 4 and 12 to get 48.
−3x=48
Divide both sides by −3.
x= −3/48
Divide 48 by −3 to get −16.
The answer is x=−16
What is the distance between (-3, 6) and (5, 2)
The distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.
Distance between two points in x y plane by distance formula is:
= √{(x₁ - x₂)² + (y₁ - y₂)²}
Substituting the values of the points:
= √{( -3 - 5 )² + ( 6 - 2 )²}
Solving it further:
= √{( -8 )² + ( 4 )²}
= √{ 64 + 16 }
= √80
= √(2× 2 × 2 × 2 ×5 )
= 2×2× √5
= 4√5
So, the distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.
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HELP PLEASE!
Anything helps
Answer:
1. Distributive property
2. Reflexive property
3. Multiplication property of equality
4. Transitive property of equality
5. Addition property of equality
6. Substitution property
Step-by-step explanation:
To show -1 + (-6) on the number line, which directions would you move? A right one unit, then left six units B left one unit, then right six units C right one unit, then right another six units D left one unit, then left another six units
Answer: to the left -7
Step-by-step explanation: -1 + -6 = -7
D) Left one unit, then left another six units.
-1 + (-6) = -7
5 x 10^2 as a standard notation
Answer:500
Step-by-step explanation:
according to statistics, a person will devote years to sleeping and watching tv. the number of years sleeping will exceed the number of years watching tv by . over the lifetime, how many years will the person spend on each of these activities?
27 years are spent sleeping; 8 years are spent watching television.
What are examples of linear equations?
The typical form for linear equations with two variables is Ax+By=C. For instance, the linear equation 2x+3y=5 is in standard form. Finding both intercepts of an equation in this style is quite easy (x and y). This form is also very useful when attempting to solve structures involving linear equations.Let n constitute the quantity of years looking TV.
Then sleeping equals n+19. So:
n+n+19=35
2n=16
n=8
8 years are spent watching TV; 27 years are spent sleeping.
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Does anyone know this answer???
Answer:
slope = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 6, - 5 ) and (x₂, y₂ ) = B (- 4, - 8 )
m = [tex]\frac{-8-(-5)}{-4-(-6)}[/tex] = [tex]\frac{-8+5}{-4+6}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
Question
What is the value of x in this figure?
Enter your answer in the box.
x =
Answer:
360° = 131° + 110° + 107° + 108°
360° = 456° + x
.: x = -96°
Відповідь: 1)
5. Розв'яжіть систему рівнянь способом підстановки
2)
3y = 10,
5х + y = 2.
-
Answer:
Step-by-step explanation:
x - 3y = 10
5x + y = 2
x - 3y = 10
15x + 3y = 6
16x = 16
x = 1
5 + y = 2
y = -3
(1, -3)
A satellite flies 114550 miles in 22.91 hours. how many miles has it flown in 6.97 hours?
If a satellite flies 114550 miles in 22.91 hours, then it will flies 34850 miles in 6.97 hours
Given,
The total distance flies by the satellite = 114550 miles
Time taken = 22.91 hours
Speed of the satellite = Distance / Time taken
[tex]\frac{114550}{22.91} =5000[/tex] miles per hour
The total distance flown by the satellite in 6.97 hours
Distance = Speed × Time
= 5000×6.97
=34850 miles
Hence, if a satellite flies 114550 miles in 22.91 hours, then it will fly 34850 miles in 6.97 hours
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8 divided by 1 4/5 write the quotient in lowest terms
According to the given statement;
Quotient in lowest terms for 8 divided by 1 4/5 is 4.4444444
what is fraction?A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. Let's use an illustration to better comprehend this idea. The pizza in the following image has been sliced into 8 equally sized pieces. Now, if we wish to refer to a single portion of the pizza, we can do so by using the notation 1/8, which indicates that we are talking about one portion out of 8 equally sized portions.
According to the given values;
8 : 1( 4/5) = 40/9
= 4 4/9
≅ 4.4444444
Hence, Quotient in lowest terms for 8 divided by 1 4/5 is 4.4444444.
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Question 5
▼ <
>
A company makes a profit when it brings in more money than it pays out. The company only has enough
resources to make 8500 items in a quarter. Suppose a company's revenue in a quarter (the amount brought
in) can be modeled by R 195x, and its costs per quarter (the amount paid out) can be modeled by
C 160x+18000, where a is the number of items sold. How many items must be sold for the
-
=
company to make a profit?
The number of items that must be sold for the company to make a profit is 757.
Calulation of number of items sold:
R = 195x
C = 160x + 18000
Here R means the revenue
And, C means the cost
Now
We know that
Profit = R - C
Profit = Revenue - cost
=195x - (160x + 18000)
= 195x - 160x - 18000
= 35x -18000
Now solve the above equation
So,
35x - 18000 = 8500
x=757
Therefore,
x = 757
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i need drawing ideas
Answer:
Try drawing whatever makes you feel satisfaction or happiness. There is inspiration all around you. :)
LIST ON WHAT TO DRAW
just draw something colourful
draw something you that you like or admire
or if my options aren't helpful just look for something at the internet
draw anything that you might be in your mind
HOPE IT HELPS
Find the length of a rectangle with a perimeter of 32 meters and a width of 5 meters
Answer:
Length is 11 meters
Step-by-step explanation:
Formula we use,
→ P = 2(l + w)
Then the length of rectangle will be,
→ 32 = 2(L + 5)
→ 2L + 10 = 32
→ 2L = 32 - 10
→ L = 22/2
→ [ L = 11 m ]
Hence, the length is 11 meters.
Which angle is supplementary to ∠NPI?
Answer:
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180
just simplify help for math
Answer:
156
Step-by-step explanation:
a piece of wire 100 inches long is cut into two pieces and each bent into the shape of a square. if the sum of the areas of the two squares is 400 in2, find the length of each piece of wire.
For the given wire, the length of each piece of wire will be 76inch and 24 inch and quadratic equation will be x² - 100x + 1800 = 0
What is a quadratic equation?An algebraic equation of a second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
Given,
Length of wire = 100 inches
Sum of the areas of two squares = 400 inch²
let length of one wire - x
the length of other wire will be - 100-x
Now, the area of the square = Side²
⇒ (x/4)² + ((100 - x)/4)² = 400
⇒ (1/4)² (x² + 10000 + x² - 2(100)(x)) = 400
⇒ 10000 + 2x² + - 200x = 400 × 16
⇒ 2x² - 200x = 6400 - 10000
⇒ 2x² - 200x = - 3600
⇒ x² - 100x + 1800 = 0
⇒On solving for the value of x, we have x= 76 and 24
Now,
76/4 = 19,
24/4 = 6
So, we have the length of each wire as 76inch and 24inch
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If the rectangle below has an area of 32 sq. units, what is the area of the
triangle?
OA. 16 sq. units
B. 24 sq. units
OC. 32 sq. units
OD. 12 sq. units
DA
8
4
8
4
If the area of the rectangle (as shown below in the reference.jpeg attached hereby for reference) is 32 sq. units, then the area of the triangle shown besides the rectangle will be 16 sq. units.
As per the question statement, area of a rectangle (as shown below in the reference.jpeg attached hereby for reference) having a length of 8 units and width of 4 units is 32.
We are required to calculate the area of the triangle (shown beside the above-mentioned rectangle in the reference.jpeg attached hereby).
From the diagram, it is clear that that base of the triangle is 4 units and since it is a right-angled triangle, it's altitude or height is 8 units.
Now the formula to calculate the area of a triangle (A) having base "b" and height "h", goes as [tex]A=(\frac{1}{2}*b*h)[/tex]
Inserting the values of our concerned triangle in the above mentioned formula, we get, Area = [tex](\frac{1}{2}*4*8)=(\frac{4*8}{2})=\frac{32}{2}=16[/tex].
Rectangle: A rectangle is a 4-sided closed polygon (quadrilateral), having 4 right angles, and two pairs of equal and parallel opposite sides.Triangle: This is a 3-sided closed polygon.To learn more about rectangles and triangles, click on the link below.
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which description best explains the domain of ? the elements in the domain of f(x) for which g(f(x)) is defined
According to the given data the domain of g[f(x)] is all real numbers.
√2 and -√2.
The correct option is 1.
What is domain?The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function. The collection of things that the machine will accept as inputs is known as the domain in the function machine paradigm.
According to the given information:We will respond to this question using two functions:
f(x) = x² and g(x)
= x²/ x-2
Because the domain of f(x) is the set among all real numbers,
Except for 2, the domain of g(x) is all real integers.
Now
g[f(x)]= g(x²)
= x²/ x-2
Except for real numbers, the domain of g[f(x)] is all real numbers.
√2 and -√2.
The following is the best definition of the domain of g[f(x)]:
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I understand that the question you are looking for is:
Which description best explains the domain of (g(f(x))?
the elements in the domain of f(x) for which g(f(x)) is definedthe elements in the domain of f(x) for which g(f(x)) is not zerothe elements in the domain of g(x) for which g(f(x)) is definedthe elements in the domain of g(x) for which g(f(x)) is not zeroA square floor has a side length of 7x^5y^6 units Square tile has a side length of x^2y units. how many tiles will it take to cover the floor
49x⁶y¹⁰ tiles are required to cover the floor;
Side length of the square floor = 7x⁵y⁶;
Side length of the square tile = x²y;
Area of the given floor is = (7x⁵y⁶)² sq units
= 7²x¹⁰y¹² sq units
= 49x¹⁰y¹² sq units.
Area of a tile is = (x²y)² sq units
= x⁴y² sq units.
Let no. of tiles required be 'n';
Area of square floor = (No. of square tiles) × (Area of 1 square tile);
49x¹⁰y¹² = n × x⁴y²;
n = 49x⁶y¹⁰;
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solve the equation -2 = k+7/3
Answer:
k=-13
Step-by-step explanation:
-2 = k+7/3
Multiply 3 to both sides.
-2 = k+7/3
-6=k+7
Subtract 7 from both sides.
-13=k
k equal -13.
Hope this helps!
Please mark as brainliest if correct!
Answer:
k= −13/3Step-by-step explanation:
−2=k+7/3
Flip the equation:≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
k+7/3=−2
Subtract 7/3 from both sides:k+7/3−7/3 = −2−7/3
k= −13/3
Can anyone help me with this?
[tex]Draw\ \overline {AB}\perp\overline {CD}\ at\ point \ A.[/tex]
if $n$ is a positive integer, then let $f(n)$ be the sum of the digits of $\frac{1}{5^{{}^n}}$ that are to the right of the decimal point. what is the smallest positive integer $n$ such that $f(n) > 10$?
The smallest positive integer is 1.
What is positive integer?Positive Numbers definition the meaning of positive whole numbers in numerical states that "Numbers that are more noteworthy than zero are positive numbers". Numbers can be grouped into three kinds: negative whole numbers, zero, and positive whole numbers. Normal numbers are extremely normal to people since they come from counting objects like apples or sheep.
If s is integer
S = n (a + l)/2
Normal numbers can be utilized to assess your assets, the amount of you possess. There is no biggest regular number. The following regular number can be found by adding 1 to the ongoing normal number, creating numbers that go on "for eternity". Every one of the numbers we use for counting are positive whole numbers. Positive numbers are entirely of a bigger gathering of numbers called whole numbers. Numbers are the entire numbers, both positive and negative. By entire numbers we mean numbers without divisions or decimals.
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At the Georgia Aquarium, 60% of the visitors were from Georgia. If there were 192 people from Georgia, how many people were at the aquarium?
If 192 is 60%, then 10% would be 32.
Then you can multiply both sides by ten.
This would get you: 100% would be 320 people.
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mrs.wendell has a farm with a hard of 159 cows. the weights of her cows are shown in the histogram. mrs. wendell sells all the cows that weigh between 800 and 1199 pounds approximately what percent of her cows does ms. wendell sell?
According to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.
What exactly is a histogram, and why is it useful?A popular charting tool is a histogram. On an interval scale, it is used to describe either discrete or continuous data. It is widely used to show the key properties of distribution of the data in an easy-to-understand fashion.
How do you interpret a histogram?Examine the histogram to see if it shows a normal distribution. Once you've plotted all of the frequencies here on the histogram, it will take on a shape. If the shape resembles a bell curve, it indicates that perhaps the frequencies are evenly distributed. A peak would appear on the histogram.
Briefing:Ms. Wendell sells 25% of her her cows. While purchasing a cow, it is important to remember that weight is an important factor. While there may be some exceptions, the majority of cows sold in the United States weigh between 800 and 1200 pounds.
So, if your farm falls within this range, it would be wise to consider buying a cow from Mrs. Wendell .
Additionally, based on these numbers alone, it would make sense for you to purchase one or more cattle from Mrs. Wendell.
Therefore,
according to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.
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atie said, “Negative numbers are integers.” What was her error?
Answer:
An integer is any positive or negative number.Her error was saying only negative number s
Hope this helps
Good luck ✅
There are 17 biscuits in a packet.
There are 24 packets of biscuits in a box.
How many biscuits are there in a box in total
Answer:
408 buiscuits
Step-by-step explanation:
it easy you will just multiply 17(no of buiscuits) × 24(packets of buiscuits)
total = 17×24
total = 408 buiscuits in a box
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What is the value of x, if 32x+11x=172
Answer:
I think x=4
Step-by-step explanation:
Add 32x+11x
and the answer of that divided by 172.
Hope is correct and can help you.:)
Answer:
x=4
Step-by-step explanation:
What does the symbol BC represent
Answer:
Step-by-step explanation:
The answer is postulate. That is a rule that is accepted as true without proof.
Which of the following is true for f?
Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7
What is the correct domain and range?
We are given the function;
f(x) = {3x - 1, if -9 < x ≤ -2
{-5, if -2 < x ≤ 1
{x - 6, if 1 < x < 7
Now, the domain of a function is defined as the set of all possible input values that make the function to exist. Meanwhile, the range of a function is the set of all possible output values that make the function to exist.
Looking at the given intervals and combining them all, we can tell that the domain is as follows; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7
Now, the range for 3x - 1 is;
3(-9) - 1 = -28 and 3(-2) - 1 = -7
Range is greater than -28 and less than or equal to -7
Range of x - 6 will be greater than -5 and less than 1
Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7
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The equation the quantity 2x minus 20 divided by 3 = 2x models temperature change, where x represents the difference in degrees in the last 24 hours. solve for x.
The value of x for given equation (2x - 20) /3 = 2x is x = -5
For given question,
we have been given an equation 2x minus 20 divided by 3 = 2x
i.e., (2x - 20) /3 = 2x
This equation models temperature change, where x represents the difference in degrees in the last 24 hours.
We need to solve given equation for x.
(2x - 20) /3 = 2x
(2x - 20) = 3(2x) ...........(Multiply by 3 on both sides)
2x - 20 + 20 = 6x + 20 ...........(Add 20 to both sides)
2x - 6x = 6x + 20 - 6x ..........(Subtract 6x from both sides)
-4x = 20
x = -5 ..........(Divide by - 4 on both sides)
Therefore, the value of x for given equation (2x - 20) /3 = 2x is x = -5
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