No, it is not possible. The total measure of all angles in a triangle must be 180. If you add these three together, you get 190.
how do I solve this?
Hey there!!
Multiply both the sides with 4/3.
Then we get
x = 5 ^ 4/3
x = 8.5 ( avg. )
Hope it helps!
One number is 8 less than a second number. Twice the second number is 52 more than 5 times the first. Find the smaller of the two numbers.
Let x and y be the two numbers.
x = y - 4
2y = 5x - 10
solve the system of equations:
2y = 5(y - 4) - 10
2y = 5y - 20 - 10
-3y = -30
y = 10
x = 10 - 4 = 6
I will try my best...
Let x and y be the two numbers.
x = y - 4
2y = 5x - 10
Now, we solve the system of equations:
2y = 5(y - 4) - 10
2y = 5y - 20 - 10
-3y = -30
So...
y = 10
x = 10 - 4 = 6
What is the length of the hypotenuse of the triangle?
Answer:
Hypotenuse, AB = 7.61 cm
Step-by-step explanation:
In the given figure it is given that, ABC is a right angled triangle with base length BC = 3 cm and perpendicular distance AC = 7 cm. We have to find the length of hypotenuse i.e. AB
The length of hypotenuse is solved using Pythagoras theorem. The mathematical expression for the Pythagoras theorem can be written as :
[tex]AB^2=AC^2+BC^2[/tex]
[tex]AB^2=7^2+3^2[/tex]
[tex]AB^2=58[/tex]
AB = 7.61 cm
So, the length of the hypotenuse of the triangle is equal to 7.61 cm
One of Mr. Edward's students answered the following problem on her homework.
Her Answer-17.06 x 25.1 = 42.806
SHORT ANSWER
Explain to Mr. Edward whether or not the student got the question correct, and why.
Answer in at least 2 complete sentences.
Answer:
She did not get the correct answer because she did not put the decimal in the correct spot. The correct answer should be 428.206.
Step-by-step explanation:
17.06×25.1=428.206
The Spanish club held a car wash to raise money. The equation y=5x represents the amount of money y club members made for washing x cars. Identify the constant of proporsionality. Then explain what it represents in this situation
They wash a car for $5, so 5 represents the cost of washing one car. to find out how much they will earn by washing x cars, we can multiply 5 by any number to find the total cost of the washed cars. For example 5×2=10 which means the cost of washing 2 cars is $10 and 5×3=15 means the cost of washing 3 cars is $15 and also 5×4=20 means the cost of washing 4 cars is $20. Basically the cost of the washed cars will increase by $5 each time the number of cars increase.
Please help quick (15 points)
Please help on this and show work please
1) Divide both sides by 3
3(5x+3)=114
2) Move constant to the right side and change it's side
5x+3=38
3) Subtract the numbers
5x=38-3
4) Divide by sides by 5
5x=35
5) The answer is x=7
Hope I could help! :)
Hey mate !!
Answer
= 5x +3=114/3
Simplify 114/3 to 38
= 5x+3=38
Subtract 3 from both sides
=5x=38-3
Simplify 38-3=35
5x=35
Divide both sides by 5
X= 35/5
Simplify 35/5 to 7
X=7
Answer confirmed = x=7
Hope this helps you!
Find (1.6 x 10^8)(5.8 x 10^6) (4 x 10^6) , expressed in scientific notation. A) 1.05 x 10^8 B) 2.32 x 10^8 C) 2.32 x 10^9 D) 9.28 x 10^8
Correct answer:
2.32 x 10^8
10^8 + 6 - 6 = 10^8
and
(1.6)(5.8)
(4)
= 9.28
4
= 2.32
thus,
2.32 x 108
mark Brainliest?
Jasmine wants to make a double batch of muffins. The original recipe calls for 3/4 cup of sugar, how much sugar should she use?
If point A is located at (8,6) and point B is located at (-3,0). Point C is between points A and B such that AC= 1/4AB. What are the coordinates of point C?
Answer:
c
Step-by-step explanation:
c
Final answer:
To find the coordinates of point C between points A and B given the ratio AC=1/4AB, determine the coordinates, with C being at (10.75, 7.5).
Explanation:
Coordinates of point A: A(8,6)
Coordinates of point B: B(-3,0)
Given AC = 1/4 AB, we can find the coordinates of point C by solving for the coordinates based on the ratio:
Calculate the difference in x-coordinates: 8 - (-3) = 11
Calculate the difference in y-coordinates: 6 - 0 = 6
Coordinates of point C: C(8 + 1/4*11, 6 + 1/4*6) = C(10.75, 7.5)
the sum of two numbers is 56. the difference of the 2 numbers is 16. what is the product of the two numbers?
So if you let x and y be the two numbers...
the sum of the two means you add them together... so you get:
x+y=56 : the difference means you subtract them.. so
x-y = 16
now you have two equations and two unknowns... which you can solve with a variety of methods... you can use elimination, substitution, or trial and error.
x+y=56
x-y = 16
I will use the elimination method: Because there is a plus y and a negative you cancel that out and you add the 2x's. Therefore:
2x=72
x=36
Now, you can plug in 36 into one of your original equation:
36+y=56
y=20
Those are your two numbers!
The product of the numbers is 720.
What is simplification?Simplify fractions by cancelling all the common factors from both the numerator and the denominator and writing the fraction in its lowest/simplest form.
Given that, the sum of two numbers is 56. the difference of the 2 numbers is 16.
Let the numbers be x and y,
x+y = 56
x-y = 16
On solving, we get,
x = 36 and y = 20
x*y = 36*20 = 720
Hence, The product of the numbers is 720.
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The graph represents Kara's trip. Which statement is true?
A) Between 10 and 20 minutes Kara's car was stopped.
B) Kara's highest speed was between 30 and 35 minutes.
C) Kara's highest speed was between 25 and 30 minutes.
D) Between 5 and 10 minutes Kara's speed was decreasing.
Answer:
B) Kara's highest speed was between 30 and 35 minutes.
Step-by-step explanation:
A zero slope (horizontal line) means a stopped car with zero speed.
The higher the slope, the steeper the line, the higher the speed.
Let's look at the options.
a) The car was stopped between 10 and 15 minutes, not 20. False.
b) Between 30 and 35 min, the graph shows the steepest slope, so this statement is True.
c) False, since here slope is not steepest.
d) Between 5 and 10 minutes, the graph is a straight line, so speed was constant. False.
A man is a musician. He charges $50 for each of the first-three hours. Which is $24.95 for each additional hour. Which expression cannot be used to find the total amount you charge us if he plays for seven hours.
The point (a,b) is in Quadrant IV of a coordinate plane. Describe the location of the point with the coordinates of (b,a)
If the point (a, b) is in Quadrant IV of a coordinate plane, then the x-coordinate of (a, b) will be positive and the y-coordinate will be negative.
EX: (5, -5)
Final answer:
The point (a,b) is in Quadrant IV, where 'a' is positive and 'b' is negative. Switching the coordinates to (b,a) places it in Quadrant II, where 'b' is now the x-coordinate (negative), and 'a' is the y-coordinate (positive).
Explanation:
Given that the point (a,b) is in Quadrant IV of a coordinate plane, where 'a' is the x-coordinate, and 'b' is the y-coordinate. In Quadrant IV, x-coordinates (a) are positive, and y-coordinates (b) are negative, hence a > 0 and b < 0. When we consider the point with coordinates (b,a), we switch the positions of 'a' and 'b'. Since 'a' is positive and 'b' is negative, the point (b,a) would then be in Quadrant II, where x-coordinates are negative and y-coordinates are positive. To recap, in the Cartesian coordinate system, a point's location is determined by the signs of its x and y values, which change across different quadrants, affecting the point's location accordingly.
what is the nearest tenth of 4.12311
a number is 2/3 if another number. the sum of the numbers is 50. find the numbers
A number is 2/3 of another number. Both added together equals 50.
One of these numbers consists of three parts, and the other consists of two of those three parts. So, there are 5 equal parts in total.
Thus we need to divide 50 by 5. 50 divided by 5 equals 10.
The first number, which has three parts, is 30. The second number, which as two parts, is 20.
I hope this makes sense to you. :D Good luck in all your studies!
To find the numbers, we solve an equation by combining like terms and finding the value of x. The numbers are 30 and 20.
Explanation:Let's call the first number x. The second number is 2/3 of x, so we can represent it as (2/3)x. The sum of the numbers is 50, so the equation becomes:
x + (2/3)x = 50
To solve for x, we can simplify the equation by finding a common denominator and combining like terms:
3x + 2x = 1505x = 150x = 30Now that we have the value of x, we can substitute it back into the equation to find the value of the second number:
(2/3)x = (2/3)(30) = 20
Therefore, the numbers are 30 and 20.
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For his Science project, Timor has 1 pea plant and 3 bean plants. He measures the heights of the plants once a week. This week's data are shown in the table. Which expression will help him find the average height of the bean plants this week?
A) (10 + 12 + 11 + 20) ÷ 4
B) (12 + 11 + 20) × 3
C) (12 + 11 + 20) – 3
D) (12 + 11 + 20) ÷ 3
Answer:
D.) (12 + 11 + 20) ÷ 3
Step-by-step explanation:
When rounded to the nearest hundred I become 500. What numbers could I be
it could be 460-490 to round to 500
Answer:
450-549
Step-by-step explanation:
you can round up or down
what is the nth term for quadratic sequence 7,14,23,34,47,62,79
Answer:
The n-th term for the sequence will be: [tex]n^2+4n+2[/tex]
Step-by-step explanation:
Given sequence is: 7, 14, 23, 34, 47. 62, 79, ........
The n-th term of a quadratic sequence is: [tex]t_{n}=an^2 +bn+c[/tex]
For [tex]n=1[/tex]....
[tex]t_{1}=a(1)^2+b(1)+c\\ \\ a+b+c=7 .............................(1)[/tex]
For [tex]n=2[/tex]....
[tex]t_{2}=a(2)^2+b(2)+c\\ \\ 4a+2b+c=14 .............................(2)[/tex]
For [tex]n=3[/tex]....
[tex]t_{3}=a(3)^2+b(3)+c\\ \\ 9a+3b+c=23 .............................(3)[/tex]
Subtracting equation (1) from equation (2), we will get......
[tex]3a+b=7..........................(4)[/tex]
Subtracting equation (2) from equation (3), we will get.......
[tex]5a+b=9..........................(5)[/tex]
Now, subtracting equation (4) from equation (5)...........
[tex]2a=2\\ \\ a=\frac{2}{2}=1[/tex]
Plugging this [tex]a=1[/tex] into equation (4), we will get....
[tex]3(1)+b=7\\ \\ 3+b=7\\ \\ b=7-3=4[/tex]
Now, plugging [tex]a=1[/tex] and [tex]b=4[/tex] into equation (1) .........
[tex]1+4+c=7\\ \\ 5+c=7\\ \\ c=7-5=2[/tex]
Thus, the n-th term for the sequence will be: [tex]n^2+4n+2[/tex]
To find the nth term of a quadratic sequence, we can follow these steps:
Step 1: Find the first difference.
To do this, we calculate the difference between the consecutive terms of the sequence.
14 - 7 = 7
23 - 14 = 9
34 - 23 = 11
47 - 34 = 13
62 - 47 = 15
79 - 62 = 17
Now we have the first difference sequence: 7, 9, 11, 13, 15, 17.
Step 2: Find the second difference.
If it's a quadratic sequence, the second difference should be constant. That is, the difference of the first difference sequence should be the same. Let's calculate it.
9 - 7 = 2
11 - 9 = 2
13 - 11 = 2
15 - 13 = 2
17 - 15 = 2
Great, our second difference is constant and equal to 2.
Step 3: Create the general quadratic formula.
Quadratic sequences are defined by the formula:
a_n = an^2 + bn + c
Since the second difference is constant and equal to 2, we know that 2a should be equal to the second difference. Therefore, a is half of the second difference.
a = 2/2 = 1
So our sequence has the form:
a_n = n^2 + bn + c
Step 4: Find b and c.
We use the given terms from the sequence to find the values of b and c. We know that the first term (when n=1) is 7.
a_1 = 1^2 + b(1) + c = 7
1 + b + c = 7
b + c = 6 ... [1]
We also know that the second term (when n=2) is 14.
a_2 = 2^2 + b(2) + c = 14
4 + 2b + c = 14
2b + c = 10 ... [2]
At this point, we have two equations with two variables. We can resolve this system of equations to find b and c.
Step 5: Solve the system of equations.
We can subtract equation [1] from equation [2] to find the value of b.
(2b + c) - (b + c) = 10 - 6
2b - b + c - c = 4
b = 4
Plug the value of b into either equation [1] or [2] to find c.
b + c = 6
4 + c = 6
c = 6 - 4
c = 2
Step 6: Write down the nth term formula with the found coefficients a, b, and c.
a_n = n^2 + 4n + 2
Therefore, the nth term of the quadratic sequence 7, 14, 23, 34, 47, 62, 79 is a_n = n^2 + 4n + 2.
Manuel's bus ride to school is 9/10 of a mile and Jessica's bus ride is 3/10 of a mile. How much longer is Manuel's bus ride than Jessica's? A) 6 0 of a mile B) 12 0 of a mile C) 6 10 of a mile D) 12 20 of a mile
What are the steps to solving systems of equations and inequalities
Step 1: Line up the equations so that the variables are lined up vertically.
Step 2: Choose the easiest variable to eliminate and multiply both equations by different numbers so that the coefficients of that variable are the same.
Step 3: Subtract the two equations.
Step 4: Solve the one variable system.
Step 5: Put that value back into either equation to find the other equation.
Step 6: Reread the question and plug your answers back in to check.
Final answer:
To solve systems of equations, one can use methods like graphing, substitution, or elimination, and check the solution by substituting it back into the original equations. For inequalities, graph the lines, decide where to shade by testing a point, and find the overlap of the shaded regions for the solution.
Explanation:
Steps to Solving Systems of Equations and Inequalities
The process of solving systems of equations and inequalities involves several steps. To solve a system of equations, you can use methods such as graphing, substitution, or elimination. When solving inequalities, additional considerations such as shading the solution region are necessary. Here's a step-by-step approach for both equations and inequalities:
For Equations:
Choose a suitable method (graphing, substitution, elimination).
Apply the selected method to find the point of intersection, which represents the solution to the system.
Check your solution by substituting it back into the original equations.
For Inequalities:
Graph the lines or curves that represent the inequalities, using dashed or solid lines.
Determine where to shade the region by testing a point not on the line.
Find the overlap of the shaded regions if there is more than one inequality.
It's important to practice these steps with different systems to become proficient in solving them. Remember to pay close attention to the signs of the inequalities when graphing and shading the solution regions.
Eighteen oranges are packaged in 3 containers. How many oranges are packaged in 7 containers?
Answer,
42
Explanation,
18/3 = 6
6 x 7 = 42
Hope this helps :-)
Perpendicular Bisectors I'm confused on what to do here
bi(two)...sector(section). Bisector cuts the segment into two equal sections.
BC = CD definition of perpendicular bisector
BC + CD = BD segment addition postulate
CD + CD = BD substitution
2CD = BD added like terms
2CD = 16 substitution
CD = 8 division property of equality
CD = y + 3 given per graph
y + 3 = 8 transitive property
y = 5 subtraction property
Answer: 5
the green arrow can hit the bullseye on a target 4 times out of 5. If thr green arrow shoots 7 arrows then what is the probability that all 7 arrows will NOT hit the bullseye?
The probability that all seven arrows will not hit the bullseye is 1 2/5
Probability calculate how likely it is for an event to occur. The chances of an event occurring is between 0 and 1. The value of the event is one if the event happens and zero if the event does not happen.
For example the probability that it would rain everyday of the week lies between 0 and 1. If it rains, a value of 1 would be attached to the event and if it does not rain all the days of the week a value of zero would be attached to the event.
Probability all seven arrows does not hit the bullseye = number of arrows x probability of one arrow not hitting the bullseye
Probability that one arrow does not hit the bullseye = 1 - 4/5
5/5 - 4/5 = 1/5
Probability = 1/5 x 7 = 7/5 = 1 2/5
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Kate serves herself 1 1/2 ounces serving of cereal each morning. How many servings she does she get from a 17 1/2 ounce box his favorite cereal? Justify your reasoning.
Answer:
i realy need help with this one
Step-by-step explanation:
A commercial laundry charges $5.25 per load. You have $31.50. Write and solve an inequality to find the greatest number of loads of laundry you can do. A. 5.25w ≤ 31.5; w ≤ 26.25 B. w ≤ 31.5 − 5.25; w ≤ 26.25 C. 5.25w ≤ 31.5; w ≤ 6 D. 5.25 + w ≤ 31.5; w ≤ 6
Charges per load = $5.25
Total money = $31.50
As the situation says that charges are 5.25 and one has a total money of 31.50 so lets suppose the total load one has be 'w'
so equation becomes:
[tex]5.25w\leq31.50[/tex]
solving it we get, [tex]w\leq6[/tex]
So, option C is the correct answer.
Carly is 3 times her brother's age. The sum of their ages is no more than 24 years.
*(Variables)*=
The Brothers Age = x
*(Step-By-Step Instructions)*=
[tex]x[/tex]·[tex]3[/tex]≤[tex]24[/tex] Write an inequality
[tex]x[/tex]≤[tex]8[/tex] Divide 3 to 24
*(Answer)*= [tex]x[/tex]≤[tex]8[/tex]
Hope this helps
Person who answered: BangtanBoyScouts
3x-1/2y +2 2/3y -5/6x
The question is about simplifying an algebraic expression, specifically 3x - 1/2y + 2 2/3y - 5/6x. This can be achieved by first consolidating like terms and performing multiplication and addition/subtraction to get the simplified expression 2 1/6x + 2 1/6y.
Explanation:This question appears to be about simplifying algebraic expressions. The expression at hand is 3x-1/2y +2 2/3y -5/6x. To simplify this, you should first consolidate your like terms. The 'like terms' in this case, are the X terms (3x and -5/6x) and the Y terms (-1/2y and +2 2/3y).
Secondly, perform the operations necessary for the terms – which involve multiplication and addition/subtraction. Thus, the sum of 3x and -5/6x is 2 1/6x (or 2.167x if we want it in decimal form). Similarly, the sum of -1/2y and +2 2/3y is 2 1/6y (or 2.167y in decimal form).
Finally, to complete the simplification, you should combine these totals. The simplified algebraic expression for 3x - 1/2y + 2 2/3y - 5/6x is therefore 2 1/6x + 2 1/6y.
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How to find the area
Just like you drew those dotted lines. You know how to find the areas of rectangles which is A=length x width
The answer would be 20cm^2+6cm^2+18cm^2=44 cm^2
You would divide it into smaller shapes and then find the area then add them all up.
4*5=20
3*2=6
3*6=18
20+6+18=34cm^2
You are asked to help the staff in the arena during the Fist Bump gig. You will work: 2 1 /4 hours preparing the arena. 2 1/2 hours in ticket office. 3 3/5 hours during the gig. How many hours will you work in total? Show your answer as a mixed fraction
Answer:
I will work for [tex]8\frac{4}{5}[/tex] hours.
Step-by-step explanation:
Total working period = time to prepare arena + time spent in ticket office + Time spent in gig
= [tex]2\frac{1}{4}+2\frac{1}{2}+3\frac{3}{5}[/tex] hours
= [tex]\frac{9}{2}+\frac{5}{2}+\frac{18}{5}[/tex]
= [tex]\frac{45+25+18}{10}[/tex]
= [tex]\frac{88}{10}[/tex]
= [tex]\frac{44}{5}[/tex] [division by 2 to denominator and numerator both]
= [tex]8\frac{4}{5}[/tex]
I will work for [tex]8\frac{4}{5}[/tex] hours.