you have to get x and y by themselves on their own sides of the equation. What you do too one side you do to the other.
3x+2y=4
-3x -3x
2y=-3x+4
/2 /2
y= -3/2x+2
the Slope is the value by the x and the y is the one without a variable. sometimes equation do not have a y intercept which means they pass through the origin.
in this equation the slope is -3/2 and the y intercept is (0,2).
100 more than 365 is equal to 65more then
Answer:
x = 400Step-by-step explanation:
100 more than 365 is equal to 65more then
we can solve with an equation
100 + 365 = 65 + x
100 + 365 - 65 = x
465 - 65 = x
400 = x
------------
check
100 + 365 = 65 + 400
465 = 465
the answer is good
f(x) =2x | g(x)=-8x+2 | h(x)=x^2+x+3
Find f(g(6))
Find g(h(-4))
Find g((f)x)
With how you solved it please! (Will give first correct answer brainliest
Step-by-step explanation:
f(x) = 2x
g(x) = -8x + 2
h(x) = x² + x + 3
= f(g(6))
= 2x
= 2.(-8x + 2)
= 2.(-8.6 + 2)
= 2.(-48 + 2)
= 2.(-46)
= -92
= g(h(-4))
= -8x + 2
= -8.(x² + x + 3) + 2
= -8.((-4)² + (-4) + 3) + 2
= -8.(16 - 1) + 2
= -8.15 + 2
= -120 + 2
= -118
= g(f(x))
= -8x + 2
= -8.(2x) + 2
= -16x + 2
= How many gallons of a 60% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 50% antifreeze?
Answer:
120
Step-by-step explanation:
60 gallons of 30% antifreeze means there are 18 gallons of antifreeze.
Let the number of gallons of 60% antifreeze be x. Then,
[tex]\frac{0.6x+18}{x+60}=\frac{1}{2} \\ \\ 1.2x+36=x+60 \\ \\ 0.2x=24 \\ \\ x=129[/tex]
Algebra 1 > J.7 Solve linear equations: complete the solution EVP
Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
11d4 14 = -7
11d 18 = -7
Submit
11d =
d =
Subtract 4 from both sides
Add 4 to both sides
Subtract 4 from both sides
Work it
❌❌PLEASE HELPILL MARK BRAINLIEST❌❌❌Does coordinate m or coordinate n represent a greater number in the following parallelogram?
(0,1)
Choose 1 answer:
B
(3,5)
m
n
(m, n)
(10,5)
Answer:
m will be the right answer
A rectangle has a perimeter of 50 feet. The length is 5 feet more than the width. Find the width and length of the rectangle.
The width of the rectangle = 10 ft
The length of the rectangle = 15 ft.
What is the Perimeter of a Rectangle?The formula for the perimeter of a rectangle is given as:
Perimeter = 2(length + width).
Let x represent the width of the rectangle
Width of the rectangle = x
Length of the rectangle = x + 5
Perimeter of the rectangle = 50 ft
Thus, we would have the following equation:
2(x + 5 + x) = 50
2(2x + 5) = 50
4x + 10 = 50
4x = 50 - 10
4x = 40
4x/4 = 40/4
x = 10
Width of the rectangle = x = 10 ft
Length of the rectangle = x + 5 = 10 + 5 = 15 ft.
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Convert 10.6% to a fraction in the lowest terms.
10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.
To convert 10.6% to a fraction in the lowest terms, we divide the percentage by 100 and simplify if necessary.
10.6% can be written as 10.6/100.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10.6 in this case.
10.6/100
= (10.6 ÷ 10.6) / (100 ÷ 10.6)
= 1/9.43
Since 1 and 9.43 do not share any common factors other than 1, the fraction 1/9.43 is already in its lowest terms.
Therefore, 10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.
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your history teacher gives you a list of eight study questions. five of the eight will be on the test how many combinations of five can the teacher choose from the eight questions
The number of combinations of five can the teacher choose from the eight questions is 56
How to determine the number of combinations?The given parameters are
Total questions, n = 8
Selected question, r = 5
The number of combinations of five can the teacher choose from the eight questions is calculated using
Combination = [tex]^nC_r[/tex]
This gives
Combination = [tex]^8C_5[/tex]
Apply the combination formula
Combination = 8!/3!5!
Evaluate
Combination = 56
Hence, the number of combinations of five can the teacher choose from the eight questions is 56
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orentation.
2. Construct Arguments Triangle L'M'N' is the
image of triangle LMN after a translation. How
are the side lengths and angle measures of the
triangles related? Explain.
A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points. The rules that maps the other vertices of the figure to their images is T<-2, -7> (x,y).
What are coordinates?
A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Given that Sanjay determined that one vertex of a figure was mapped to its image by translating the point 2 units left and 7 units down.
In order to translate coordinates, 2 units left we need to subtract 2 units from the x-coordinate of the point, while to translate the point 7 units down we need to subtract 7 from the y-coordinate of the point.
Therefore, the rule that maps the other vertices of the figure to their images is, (x¹,y¹)=(x-2,y-7), or it can bse written as T<-2,-7> (x, y),
where x¹ and y¹ are the coordinates of the points after transliteration.
Hence, the rule that maps the other vertices of the figure to their images is T<-2,-7> (x, y,).
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Malcolm got his first job. His wage in his first year was $8.65 an hour. In year 2, it was raised to $10 an hour. What was the percent increase in his hourly wage between year 1 and year 2
O 15.61%
O 13.5%
O 1.35%
O 0.16%
The percentage increase is the ratio of value increased to the original value and multiplied by 100.
The percentage increase in his hourly wage between year 1 and year 2 is 15.61%.
Option A is the correct answer.
What is a percentage increase?The percentage increase is the ratio of value increased to the original value and multiplied by 100.
It is expressed in percentage.
If there is an increase in the value of anything, then there is an increase in percentage.
We have,
Wage in the first year per hour = $8.65
Wage in the second year per hour = $10
The percentage increase in hourly wage:
= [ (10 - 8.65) / 8.65 ] x 100
= ( 1.35 / 8.65 ) x 100
= 15.6069 %
= 15.61 %
Thus the percentage increase in his hourly wage between year 1 and year 2 is 15.61%.
Option A is the correct answer.
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The mouth of a large river has a flow of fresh water, amounting to 5,500,000 cubic feet per second. How many cubic meters per second pour out of the mouth of this
river? (Use 1 foot 0.305 meter.)
The rate of discharge is 1,54,550 cubic meter/sec.
This is the problem related to conversion of units. We need to convert cubic feet into cubic meter here.
Also we know that 1 foot = 0.305 meter.
The rate of discharge of water is given as 5,500,000 cubic feet per second.
So, now to convert to cubic meter we need to divide the given rate by cube of 0.305.
Now discharge in cubic meter per second = [tex]5,500,000*(0.305)^{3}[/tex]
= [tex]5,500,000*0.028[/tex]
= 1,54,550 cubic meter/sec
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Hey bestieee!!!
What is a^2 + 3b
When a = 2
And b = 3
Answer:13
Step-by-step explanation:(2)²+3(3)=4+9=13
Answer:
2a^n+ 3b
Differentiate w.r.t a
2na^n - 1
= 13
1. Factor by grouping
a² + ab - 56b²
Answer: (a-7b)(a+8b)
Step-by-step explanation:
a² + ab - 56b²=
a² + 8ab -7ab - 56b²=
a(a+8b) -7b(a+8b)=(a-7b)(a+8b)
Solve this problem please.
∑ Hey, shadowwolf9764 ⊃
Answer:
1.52545155993
Round if needed: 1.53
Step-by-step explanation:
Given:
[tex]\frac{0.128\div 3.2+0.86}{\frac{5}{6}\cdot 1.2+0.8}+\frac{\left(1\:\frac{32}{63}-\frac{13}{21}\cdot 3.6\right)}{0.505\cdot \frac{2}{5}-0.002}[/tex]
Solution:
Convert Mixed Number to a improper fraction:
[tex]1\frac{32}{63}=\frac{95}{63}[/tex]
Now we have;
[tex]=\frac{\frac{0.128}{3.2+0.86}}{\frac{5}{6}\cdot \:1.2+0.8}+\frac{95}{63}[/tex]
Solving the first part:
[tex]\frac{\frac{0.128}{3.2+0.86}}{\frac{5}{6}\cdot \:1.2+0.8}=\frac{0.128}{7.308}[/tex]
Then we have;
[tex]=\frac{0.128}{7.308}+\frac{95}{63}[/tex]
Least common factor: 460.404
[tex]=\frac{8.064}{460.404}+\frac{694.26}{460.404}[/tex]
Now using this formula: [tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{8.064+694.26}{460.404}[/tex]
Adding the numbers:
[tex]=\frac{702.324}{460.404}[/tex]
Next divide the numbers:
[tex]1.52545155993[/tex]
Hence, the answer is:
[tex]1.52545155993[/tex]
Round if needed:
[tex]1.53[/tex]
xcookiex12
9/4/2022
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Write the first trigonometric function in terms of the second for in the given quadrant. (No theta symbol so used word)
sec(theta), tan(theta); theta in Quadrant IV
sec(theta) =
The expression of [tex] \mathbf{sec( \theta)}[/tex] in terms of [tex]tan( \theta)[/tex] in Quadrant IV is presented as follows;
[tex] sec( \theta) = \sqrt{{tan( \theta)}^{2} + 1} [/tex]
Which trigonometric identity can be used to express the required function?The given trigonometric functions are;
[tex]sec( \theta)[/tex]
[tex]tan( \theta)[/tex]
[tex] {sec( \theta)}^{2} = {tan( \theta)}^{2} + 1[/tex]
In Quadrant IV, the tangent of an angle is -ve, while the secant is +ve
However, the square of -ve is positive;
(-ve)² = +veTherefore;
[tex] \left({tan( \theta)}^{2} + 1 \right) \: is \: positive[/tex]
Which gives;
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Directions: Write the following in set-builder notation. Input your answer inside the box provided for each given. Do not put a space in between symbols in your answer. Follow the format of the given example below.
1. A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
2. E is the set of letters in the word “notation”.
Answer:
1. A = {x:x is the set of natural number <= 10}
2. E = {x:x is the set of natural number <= 8}
What is the decimal rule?
1.2 x (-5) = ?
I got -60 but it’s saying it’s the incorrect answer and I’m not sure what I’m doing wrong.
Answer:
-6
Step-by-step explanation:
1 x -5 is still -5, and the do .2 x -5 = -1 -1+-5= -6
I need help
What is x/10 = 4
Answer:
40
Step-by-step explanation:
another answer to something elsse it might help Solve for x x-4=10. x − 4 = 10 x - 4 = 10. Add 4 4 to both sides of the equation. x = 10+ 4 x = 10 + 4. Add 10 10 and 4 4. x = 14 x = 14.
Answer:X=40
Step-by-step explanation:
Geometry study guide help? I will give brainliest.
Which number line shows the solution to the inequality? – 7x+3≥ – 18
The solution to the inequality is x ≥ 3
How to determine the solutionGiven the inequality;
– 7x + 3 ≥ – 18
To determine the solution , we take the following steps;
collect like terms
-7x ≥ - 18 - 3
Find the difference
- 7x ≥ - 21
Make 'x' the subject of the formula by dividing both sides by its coefficient, - 7
We have;
-7x / -7 ≥ - 21/ -7
x ≥ 3
Thus, the solution to the inequality is x ≥ 3
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392,153 rounded to the nearest hundred thousand
Answer:
Step-by-step explanation:
400,000
Evaluate the following expression if a = -3 and b = 4. Square root 361 - 2a2 - [b - 17]
Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.
What is the numerical value of the expression?Given that;
√361 - 2a² - [b - 17]a = -3b = 4To determine the numerical value of the expression, replace all the occurrence of a and b with -3 and 4 in the respectively and simplify.
√361 - 2a² - [b - 17]
√361 - 2(-3)² - [(4) - 17]
√361 - 2(9) - [4 - 17]
√361 - 18 - [-13]
√361 - 18 + 13
19 - 18 + 13
1 + 13
14
Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.
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There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. What is the ratio of non-black sedans to black sedans
Answer: the ratio is 1.13
Step-by-step explanation:
The ratio of non-black sedans to black sedans is 40/31, as of the given condition.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The total number of sedans in the parking lot is,
496 black sedans + 640 non-black sedans = 1136 sedans.
The ratio of non-black sedans to black sedans can be found by dividing the number of non-black sedans by the number of black sedans:
Ratio = 640 non-black sedans / 496 black sedans
Ratio = 640/496
Ratio = 40/31
So, the ratio of non-black sedans to black sedans is 40/31.
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Write the solution set in interval notation and graph the inequality
{[tex]{x|2\ \textless \ X\leq 7[/tex]}
The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].
Given that a inequality y={x ; 2<x≤7} and asked to find the solution set for the given inequality and plot graph according to that
⇒ y={x ; 2<x≤7} i.e domain=(2,7].
⇒y=x ∀ x ∈ (2,7]
The solution of the given inequality is x ∈ (2,7].
Therefore,The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].
Graph: image attached
y=x ∀ x ∈ (2,7] is plotted {open at (2,0) and close at (7,0)}
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For runners in a race it is more desirable to have a high percentile for speed. A high percentile means a higher speed which is faster. 40% of runners ran at speeds of 7.5 miles per hour or less (slower). 60% of runners ran at speeds of 7.5 miles per hour or more (faster).
A scalar quantity, speed is defined as the size of the change in an object's or particle's location over time or the size of the change in an object's position per unit of time.
In statistics, a percentile (or centile) is a metric that expresses the value at or below which a specified percentage of observations in a collection of observations fall. The value (or score) below which 20% of the observations may be found is called the 20th percentile, for instance.
A higher percentile for speed is preferable for runners in a race. A high percentile indicates a faster, greater speed.
40% of athletes completed their runs at 7.5 mph or less (slower). 60% of athletes covered at least 7.5 miles per hour (faster).
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Use the formulas developed in the this section to find area of the figure.
A=s^2
A=___ yd^2
The area of the figure is 22.785 square yards
How to find the area of the figure?The figure is a triangle, and it has the following properties
Base = 9.3 yards
Height = 4.9 yards
The area of the figure is calculated as
Area = 0.5 * Base * Height
So, we have
Area = 0.5 * 9.3 * 4.9
Evaluate
Area = 22.785
Hence, the area of the figure is 22.785 square yards
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(2+i)-(5-4i)
Find the difference of the following expression
Answer:
-3 + 5i
Step-by-step explanation:
We can remove the parentheses
2 + i - 5 + 4i
Collect the like terms and do the math
-3i + 5i
a restaurant offers a $12 dinner special that has 7 choices for an appetizer, 10 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?
a meanl can be chosen __ ways
a meal can be chosen is 546 different ways.
6. What is the area in square feet of a 100 yard by 60 yard foot-
ball field?
Answer:
6000 [tex]yd^{2}[/tex]
Step-by-step explanation:
Take the length and multiply it by the width.
100 x 60 = 6000
Answer:6,000 yards
Step-by-step explanation:
100 yards x 60 yards = 6,000yards
Please help me redo this vin diagram. I will give a Brainly and extra pouts.
Answer:
see attached
Step-by-step explanation:
You want a Venn diagram that represents the flavor preferences of 135 students.
Venn DiagramThe diagram you show is a good start. It usually works best to start by filling in the center spot, where all three circles overlap. You have correctly identified the number liking all three flavors as 15.
Working outward, the next step is to fill in the numbers for those who like two flavors. These numbers already include the number who like all three. This means ...
caramel + vanilla (only) = (caramel + vanilla) (28) - (caramel +vanilla +chocolate (15)
caramel + vanilla (only) = 28 -15 = 13
Similar computations are done for the other "likes 2 only" spots on the diagram:
chocolate + caramel (only) = 31 -15 = 16
chocolate + vanilla (only) = 22 -15 = 7
In like fashion, the numbers for one flavor only need to subtract out the numbers already inside the circle for that flavor.
chocolate (only) = 63 -16 -15 -7 = 25
Finally, the number of students having no preference is found by subtracting the numbers inside the parts of the circles from the total number of students:
no preference = 135 -111 = 24
The attachment shows the completed diagram.