I think the answer to this question is 306,040,608. If we are supposed to write it out then it is (3 × 100,000,000) + (6 × 1,000,000) + (4 × 10,000) + (6 × 100) + (8 × 1)
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
A band has 36 members . they are arrange into 6 equal rows . How many band members are in each row?
Answer:
6
Step-by-step explanation:
divide 36 by 6
Hello
This type of question can be formed into a division problem
36/6
= 6
6 band members are in each row
:)
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.
What is the length of chord CD in the O
Because the distance to both chords are the same (5.70) and both chords are 90 degrees from the 5.70 line, both chords are identical.
Chord AB = 5, so chord CD is also 5.
The answer will be 5.
the rule for subtracting integers can be used to subtract whole numbers. explain why.
The difference between whole numbers and integers is that whole numbers do not include negative numbers, whereas integers do. Therefore, the same rule used by integers can be used with whole numbers, so long as negative numbers are not used.
The rule for subtracting integers applies to whole numbers because whole numbers are integers. In subtraction, we change the sign of the subtracted number and then add, a principle that works with both negative and whole numbers.
The rule for subtracting integers can indeed be used to subtract whole numbers because whole numbers are a subset of integers. Integers include all positive whole numbers, zero, and their negative counterparts. When we look at the subtraction of integers, for example, 5 - 3 = 2, we can also see this as adding the opposite, 5 + (-3) = 2. Similarly, if you subtract a negative number, like subtracting -6 from 2, it becomes 2 - (-6) = 2 + 6 = 8. Hence, even with whole numbers, we are using the same principles.
When subtracting whole numbers, you follow the same process: change the sign of the number being subtracted and proceed with addition. If the numbers have different signs, you subtract the smaller number from the larger and retain the sign of the larger number. The basic principle to use in working with addition and subtraction of integers is changing subtraction into addition and the paying attention to the signs.
The universality of mathematical rules applies regardless of where or when, meaning subtraction of whole or negative numbers follow the same fundamental principles.
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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Jason plotted the point (4, 4) and (-4, -4) on a coordinate plane. He says that the distance between the two points is 8 because |4| + |-4| = 8. What mistake is Jason making?
Jason is making a mistake in calculating the distance between the two points on a coordinate plane. The correct formula to find the distance between two points is the distance formula, which uses the Pythagorean theorem.
Explanation:Jason is making a mistake in calculating the distance between the two points. The formula to find the distance between two points in a coordinate plane is the distance formula, which uses the Pythagorean theorem. The correct formula is:
Distance = sqrt((x2-x1)^2 + (y2-y1)^2)
Using the formula with the points (4, 4) and (-4, -4), the distance should be:
Distance = sqrt((-4-4)^2 + (-4-4)^2) = sqrt((-8)^2 + (-8)^2) = sqrt(64 + 64) = sqrt(128) = 8*sqrt(2)
So the distance between the two points is 8 times the square root of 2, not just 8. Jason made a mistake by adding the absolute values of the coordinates instead of using the distance formula correctly.
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Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as given segment
To create a line segment that is twice as long as a given segment, use a compass and straightedge to draw two intersecting arcs and connect the intersection point with one endpoint of the given segment.
Explanation:To create a line segment that is twice as long as a given segment using a construction tool or a compass and straightedge, follow these steps:
Draw the given segment using a ruler and label its endpoints.Place the compass on one endpoint of the given segment and adjust the compass width to the length of the given segment.Draw an arc from the other endpoint of the given segment using the compass.Without changing the compass width, move the compass to the intersection point of the arc and the given segment. Draw another arc that intersects the first arc.Connect the intersection point of the arcs with one endpoint of the given segment to create a line segment that is twice as long as the given segment.Learn more about Construction of line segments here:https://brainly.com/question/31666029
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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.
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.
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
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.
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.
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
Please help quick (15 points)
The temperature in Toronto at noon during a winter day measured 4°C. The temperature started dropping 2° every hour. Which inequality can be used to find the number of hours, x, after which the temperature will measure below -3°C?
4-2x≤-3 so basically you are trying to find x so the best inequality for this equation would be less than or equal to hoped this helped have a great day :)
Answer:
4 - 2x < 3
Step-by-step explanation:
Given,
The measured temperature in Toronto = 4°C,
∵ the temperature started dropping 2°C every hour,
So, the decrement in temperature after x hours = 2x degree celsius,
∴ The total temperature after x hours = original temperature - decrement in the temperature,
= 4 - 2x
According to the question,
Total temperature would be below -3°C,
4 - 2x < 3
Which is the required inequality.
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!
an isosceles triangle has two sides of equal length. The length of one of the equal sides is 2 ft more than 4 times the length of the third side. Find the length of each side when the perimeter is 22 ft. The length of each equal side is? length of the third side?
the length of each equal side is 10 ft
the length of the third side is 2 ft
let x be the length of the third side the equal sides are 4x + 2
given perimeter == 22, then
x + 4x + 2 + 4x + 2 = 22
9x + 4 = 22 ( subtract 4 from both sides )
9x = 18 ( divide both sides by 9 )
x = 2 and 4x + 2= 10
The length of the third side (base) of the isosceles triangle is 2 feet, and the other two equal sides are each 10 feet long, with the perimeter totaling 22 feet.
To solve for the lengths of the sides of an isosceles triangle given its perimeter, we can set up an equation. Let's denote the length of the third side (base) as x feet.
Since the triangle is isosceles, we know that the other two sides (legs) have equal lengths, each being 2 feet more than 4 times the length of the third side. Therefore, these equal sides are each 4x + 2 feet long. The perimeter of the triangle is the sum of the lengths of all three sides, which is given as 22 feet.
So, the perimeter equation is:
x + (4x + 2) + (4x + 2) = 22
This simplifies to:
9x + 4 = 22
Solving for x, we get:
x = 2 feet.
Now we know the third side (base) is 2 feet long. The length of each equal side can now be calculated:
4(2) + 2 = 10 feet.
Therefore, the length of each equal side is 10 feet and the length of the third side is 2 feet.
what is the nearest tenth of 4.12311
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
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?
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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What is 59% of 14 m?
Answer:
8.26 that's what i think it is
Kenneth shared a basket of apples with three of his friends. The basket weighed 14.75 pounds. What is the weight of the apples that each of the friends received?
Answer:
Assuming each person gets the same amount of apples, each friend gets 3.6875lbs of apples.
Step-by-step explanation:
Now in order to find this, we need to note that 4 people get apples (Kenneth and 3 friends). So we take the total number of pounds and divide it by 4.
14.75lbs/ 4 people = 3.6875lbs per person
Hey there!!
The total number of people are '4 people
The weight is shared equally among all the 4 people.
The total weight is 14.75 pounds.
What is the weight of each person?
∴We know everyone has the equal weight.
... person + person + person + person = 14.75
... 4 × person = 14.75
... person = 14.75 / 4
... person = 3.68
Hence, the weight of apples each get is 3.68 pounds.
Hope my answer helps!!
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.
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)
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:
11=8x+5-5x
Need some help asap!
X=2: 16+5-10=11 21-10=11=11=11
Combine Like Terms: 11 = 8x + 5 - 5x
First combine the ones with variables:
11 = 3x +5
Then combine ("move") 5 to 11.
6=3x
Divide.
Final Answer
2=x
Hope that helps :)
-edited-
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
Which value for x makes the open sentence true? 8 + 3 • x = 2 squared + x squared Question 1 options: 5 4 3 2
8 + 3 *X = 2^2 + X^2
Simplify:
8 + 3x = 4 +x^2
Subtract x^2 from each side:
8 + 3x - x^2 = 4
subtract 4 from each side:
8 + 3x -x^2 -4 = 0
Simplify:
3x - x^2 +4 = 0
Factor
-(x-4)(x+1) =0
X = 4, -1
The answer would be 4.
Hi Slyther,
Answer - B. 4
8 + 3 * x = 2^2 + x^2
8 + 3 x 4 = 2^2 + 4^2
8 + 12 = 4 + 16
20 = 20