Answer:
Step-by-step explanation:
The given equations are:
1) 2y = -x + 9
⇒ x = 9-2y
2) 3x - 6y = -15
⇒3x = 6y - 15
x = 2y - 5
Equating the values of x, we get:
9 - 2y = 2y - 5
9 + 5 = 4y
14 = 4y
y = 3.5
Using this value of y in equation 1 we get:
x = 9 - 2(3.5) = 2
So, the solution set is (2, 3.5)
Question 5 of 5
Select the correct answer from each drop-down menu.
The area of this rectangle is 54 square inches. Create an equation to find the value of n.
3(n-1)
54 square inches n+2
rẻ tint
▼ = 0
Answer:
[tex]3n^2+3n-6=54[/tex]
Step-by-step explanation:
Total Area=54 square inches. Area=length*width.
Because the length is [tex][3(n-1)][/tex], and the width is [tex](n+2)[/tex], you can plug that into the equation for area. In this case, because the total area is 54, we can plug that in for area.
[tex][3(n-1)](n+2)=54[/tex]
Distribute through the parenthesis in [tex]3(n-1)[/tex].
[tex](3n-3)(n+2)=54[/tex]
Then, multiply [tex]3n-3[/tex] and [tex]n+2[/tex] using whatever method you prefer. I used FOIL, which stands for First, Outer, Inner, Last. You multiply the first terms together, the outer terms together, the inner terms together, and the last terms together.
[tex]3n^2+6n-3n-6=54[/tex]
Simplify.
[tex]3n^2+3n-6=54[/tex]
geometry please help (pentagons)
Answer:
144
Step-by-step explanation:
540 degrees is the sum of angles in a pentagon
Divide 540 by 5(number of sides) =108(interior angle)
Since there are two pentagons you do 108 X 2 = 216 degrees
Do 360 - 216 = 144
so your answer is right
HELPPPPPPPPPPPPPPPPPP
Answer:
B
Step-by-step explanation:
if we consider the coordinates of the points
(2, 3 )
(5, 6 )
(7, 8 )
we can see that the y - coordinate in each case is 1 more than the x- coordinate, then
y = x + 1 is the required rule
what is the solution to the inequality below 14-2(x+1)< -4
Answer:
x > 8
Step-by-step explanation:
14 - 2(x + 1) < - 4 ← distribute parenthesis and simplify left side
14 - 2x - 2 < - 4
12 - 2x < - 4 ( subtract 12 from both sides )
- 2x < - 16
divide both sides by - 2 , reversing the symbol as a result of dividing by a negative quantity.
x > 8
need help with this......
Based on the definition of sequence and the characteristics of the given sequence, the complete sequence is: 4, 543, 65432, 7654321, 876543210.
How to complete a sequence
Sequences are sets whose elements observes at least a condition. In this question we have a sequence formed by numbers formed by decimal digits ordered in descent way. Where the consecutive element has more digits than the previous one.
Then, we conclude that the complete sequence is: 4, 543, 65432, 7654321, 876543210.
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Determine the type of quadrilateral created by the points of intersection of the lines x-y+3=0, y=x-2, y = -1/2x + 5, and x+2y+12=0.
The set of parallel lines in a quadrilateral leads to the parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
Line M
x - y + 3 = 0,
y = x + 3
m = 1
Line L
y = x - 2,
m = 1
Line N
y = -1/2x + 5,
m = -0.5
Line P
x+2y+12=0
y = -x/2 - 6
m = -0.5
Here we can see that the slope of line M and L are equal and slope of line N and P are equal.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Hence, the set of parallel lines in a quadrilateral leads to the parallelogram.
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Find x, I’ll give brainliest I promise.
Answer:
x=16.5(or 17)
Step-by-step explanation:
2(x)+2(x-4)=58
2x+2x-8=58
4x-8=58
4x=66
x=16.5(if rounded to the nearest whole number will be 17)
ur welcome :)
brainliest please?
Which of the following is an exponential function?
a. f(x)=x³ + 2x²² -6
b. f(x) = 5/x
c. f(x) = 5x + 2
d. f(x) = 4x²
e. f(x) = 4x*2*
f(x) = 4²ˣ, this is an exponential function. Then the correct option is E.
What is an exponent?Let a is the base and x is the power of the exponent function and b is the y-intercept. The exponent is given as
y = aˣ + b
The exonentuial functions are given below.
a. f(x)=x³ + 2x²² -6, this is not an exponential function.
b. f(x) = 5/x, this is not an exponential function.
c. f(x) = 5x + 2, this is not an exponential function.
d. f(x) = 4x², this is not an exponential function.
e. f(x) = 4²ˣ, this is an exponential function.
Then the correct option is E.
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Four lines are drawn on a coordinate plane to form trapezoid wxyz. Which statements are true about the lines? Select three options
The statements that are true for Trapezoid WXYZ are:
Line WZ has the same slope as line XY.Line XW has a lesser slope than line YZ.Line ZW has the same y-intercept as line WZ.Line XY has a greater y-interceptHow to Interpret Line Coordinates?
We are told that;
Shape is a trapezoid WXYZ.
Now, In a trapezoid, one pair of opposite sides are parallel and parallel lines have the same slope.
Lastly, the slope of line parallel to x axis is 0 and so If the line starts at the bottom left and goes towards the top right it has negative slope. Thus, all the statements that are true for Trapezoid WXYZ are:
Line WZ has the same slope as line XY.Line XW has a lesser slope than line YZ.Line ZW has the same y-intercept as line WZ.Line XY has a greater y-interceptComplete question is;
Four lines are drawn on a coordinate plane to form trapezoid WXYZ. Which statements are true about the lines? Select all that apply.
Line WZ has the same slope as line XY.
Line YX has a greater slope than line ZY.
Line XW has a lesser slope than line YZ.
Line ZW has the same y-intercept as line WZ.
Line XY has a greater y-intercept than line XW
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Jewel spins the pointer of a spinner. the spinner has 7 equal-sized sections labeled 1 to 7. what is the probability that jewel will spin a 7?
The answer is one in seven or (1/7)!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Sheryl makes $7 per pair of
earrings, e, and $13 per necklace,
n, she sells. What expression
represents
her total income?
70+13n
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that can represent the total income of Sheryl is 7e+13n.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Since Sheryl makes $7 per pair of earrings and $13 per necklace, therefore, the expression that can represent her total income of Sheryl is 7e+13n.
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The circumference of a circular garden is 78.5 feet. What is the radius of the garden? Use 3.14 for it and do not round your answer.
?
Work Shown:
C = 2*pi*r
78.5 = 2*3.14*r
78.5 = 6.28r
r = (78.5)/(6.28)
r = 12.5
A sugar solution currently measures 250 degrees fahrenheit. the temperature of the solution increases 5 degrees per minute. the sugar solution will caramelize at temperatures greater than 310 and less than 338 degrees fahrenheit. which inequality can be used to find x, the number of minutes it will take for the solution to begin caramelizing?
The inequality which is used to find the number of minutes taken by the solution to begin caramelising is 310 < 250 + 5x <338. The correct answer is option A.
The complete question is given below:-
A sugar solution currently measures 250 degrees Fahrenheit. The temperature of the solution increases 5 degrees per minute. The sugar solution will caramelize at temperatures greater than 310 and less than 338 degrees Fahrenheit. Which inequality can be used to find x, the number of minutes it will take for the solution to begin caramelizing? 310 < 250 + 5x < 338 310 < 250 + 5x < 338 310 < 5(x + 250) < 338 310 < 5(x + 250) < 338
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called an inequality.
According to the given question.
The current temperature of a sugar solution is 250 degrees Fahrenheit. Per minute the temperature of the solution increases by 5 degrees. Also, x is the number of minutes taken by the sugar to caramelize.
⇒ The total increase in the temperature in x minutes = 25 + 5x
Since the sugar solution caramelizes at a temperature greater than 310 and less than 338.
Inequality will be given as:-
310 < 250 + 5x < 338
Therefore, the inequality which is used to find the number of minutes taken by the solution to begin to caramelize is given by 310 < 250 + 5x < 338.
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The mean of 19 numbers is 35.
One of these numbers is 70.
Determine the mean of the other 18 numbers.
Give your answer correct to 1 decimal place.
Submit Answer
The main goal of a personal budget is to
have income equal expenses
have expenses be greater than income
have income be greater than expenses
create personal savings
Answer:
have income be greater than expenses
Step-by-step explanation:
I hope this helps you! Feel free to give feedback :)
Answer:
Both C and D are basically right but I would mainly lean towards D
Create Personal Savings
Step-by-step explanation:
this isn't a math question btw
Have a nice day! :)
which method is best for solving the system of equations,
3x+2y=4
-3x+y=2
The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination
To answer the question, we need to know what system of equations are
What are system of equations?System of equations are pairs of equations that contain two unknowns
Ways of solving system of equationsWe have different ways of solving systems of equations which include
Guess and CheckEliminationGraphing and SubstitutionSince we have the system of equations
3x + 2y = 4
-3x + y = 2
The method which we can use to remove one variable by adding them is the elimination method.
Adding them, we have
3x + 2y = 4
+
-3x + y = 2
3y = 6
y = 6/3
y = 2
So, the method which we can use to remove one variable by adding them is B Elimination
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What is the area, in square feet, of the isosceles trapezoid below?
Answer:
A≈78.54
Step-by-step explanation:
A¹=7.7×6.6=50.82(area of rectangle inside)
16.1-7.7=8.4/2=4.2
A²=6.6×4.2=27.72(area of triangles)
A=50.82+27.72=78.54
Derrick grows vegetables on a circular patch of land. The radius of the patch is 16 meters. What is the approximate area of the patch of land?
Answer:
A≈804.25m²
Step-by-step explanation:
A=πr2=π·162≈804.24772m²
Your friend is supposed to meet you at the beach between 12pm and 1:30pm. If you arrive at 12:25pm and you do not see you friend, what is the probability that you will have missed your friend? Express your answer as a percentage.
The probability that you will have missed your friend is 27.78%
How to determine the probability?The time of meeting is given as:
Time = 90 minutes (i.e 12pm and 1:30pm)
Your time of arrival is given as:
Arrival = 12:25pm
If you missed your friend, it means that your friend arrives earlier.
So, the time spent by your friend is:
Friend= 12:25 - 12 = 25 minutes
The probability that you will have missed your friend is:
P = 25 minutes/90 minutes
Evaluate
P = 27.78%
Hence, the probability that you will have missed your friend is 27.78%
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Alan is on the swim team. Each week he swims a total of 6000 meters. How many kilometers does he swim each week
Answer:
6 km
Step-by-step explanation:
1000 meters equals 1 kilometer
which graph below shows the solutions for the linear inequality y<1/3x-4
Step-by-step explanation:
the answer is C since y is less than. meaning that the line should be dashed and below the graph.
comment if you have any doubts.
The coach recorded the scores of nine different basketball players in their last game. ● The median number of points scored by these nine players was 13. ● The mean number of points scored by these nine players was 12. Part A: List 9 values that could represent this data set. Part B: A 10th basketball player on this team scored 12 points in the last game. If her score is added to this data set, how will the median and mean change? Explain your reasoning.
The values that could represent this data set include 5, 6, 9, 10, 12, 10, 4, 6, and 19.
How to calculate the mean?It should be noted that a mean simply means the average of a set of numbers.
In this case, the values that could represent this data set include 5, 6, 9, 10, 12, 10, 4, 6, and 19. Therefore, the mean will be:
= (5 + 6 + 9 + 10 + 12 + 4 + 6 + 19)/9
= 81/9
= 9
When a 10th basketball player on this team scored 12 points in the last game, the new mean will be:
= (81 + 12)/10
= 93/10
= 9.3
Therefore, there's an increase in mean.
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Find the values of x and y.
x=____
(b) y=_____
[tex]sin60 = \frac{opp}{hyp} \\ sin60 = \frac{y}{12 } \\ \frac{ \sqrt{3} }{2} = \frac{y}{12} \\ 2y= 12 \sqrt{3} \\ y = 6 \sqrt{3} [/tex]
[tex]cos60 = \frac{adj}{hyp} \\ cos60 = \frac{x}{12} \\ \frac{1}{2} = \frac{x}{12 } \\ 2x = 12 \\ x = 6[/tex]
Hope it helps
Please give brainliest
Пожалуйста помогите с решением
Answer:
( x, y) =
[tex]65 \ \frac{15}{11} [/tex]
this is your answer
find the volume of the pyramid
Volume is a three-dimensional scalar quantity. The volume of the right-triangular pyramid is 1.008 m³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a right-triangle pyramid is one-third of the product of its base area and its height. Therefore, the volume is,
Volume = (1/3) × 0.5 × 1.4 × 1.8 × 2.4
= 1.008 m³
Hence, the volume of the right-triangular pyramid is 1.008 m³.
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may someone help me with this question? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:3(3x + 5)[/tex]
now plug in the value of x as 5
[tex]\qquad \sf \dashrightarrow \:3(3(5) + 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:3(15 + 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:3(20)[/tex]
[tex]\qquad \sf \dashrightarrow \:60 \: [/tex]
So, the equivalent value is 60
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+1=2(x+5)
Step-by-step explanation:
y + 1 = 2(x + 5) = 2x + 10
y - 9 = 2x
2x - y = -9
Can someone help me with this
Shandra bought 24 chicken wings for $50.40. If Shandra spent $10.50, how many chicken wings did she buy?
Answer:
56
Step-by-step explanation:
Because i'm always right.
Shandra can buy 5 chicken wings for $10.50.
Given that, Shandra bought 24 chicken wings for $50.40 and Shandra spent $10.50.
We need to find out how many chicken wings Shandra brought for $10.50.
What is a unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, the cost of 1 chicken wing=Total cost of chicken wings/Number of chicken wings
=50.40/24=2.1
The cost of one chicken wing=$2.1
Now, the number of chicken wings for $10.50=10.50/2.1=5
Therefore, Shandra can buy 5 chicken wings for $10.50.
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Jed places the letters A, B, C, D, E, F, G, H and I into a bag and picks 2 at random. What is the probability he chooses at least 1 vowel?
Answer:
0.583333333333Step-by-step explanation:
we have 9 letters
3 vowels: A , E , I
6 consonant: B, C, D, F, G , H
Consider the event V : «choosing at least 1 vowel»
[tex]\Longrightarrow \overline{V} \ \colon \ \text{choosing 2 consonant}[/tex]
[tex]p(V) =1-p\left( \overline{V} \right) =1-\frac{C^{2}_{6}}{C^{2}_{9}}=0.583333333333[/tex]