Final answer:
To find the difference between 83456 and 728.88, subtract the second number from the first, resulting in the answer 82727.12.
Explanation:
To find the difference between the two numbers 83456 and 728.88, we simply subtract the second number from the first:
Write the numbers in a vertical column, aligning the digits by place value.
Perform the subtraction, starting from the rightmost digits (the ones place) and moving to the left, borrowing as needed.
Subtract each digit in the smaller number from the corresponding digit in the larger number.
83456
- 728.88
_______
82727.12
The difference is 82727.12.
please hurry, i don’t need an explanation
Sasha has 20 starbursts in a bag, 8 are yellow, 6 are pink, 4 are red, and
2 are orange. Sasha will randomly select two starbursts from the bag
with no replacement. What is the probability that she will select
yellow starburst and then a red starburst? (give your answer as a
fraction in a reduced form)
Answer:
D
Step-by-step explanation:
Answer: Helping a fellow teen in need. I got you. lol. It's most likely A. Good luck miss Isabella
Step-by-step explanation:
In the triangle ABC, angle A = 30° and angle B = 60°. The perimeter of the triangle is 5(3 + 13). Find the area of
the triangle. Give your answer in exact
form.
Answer:
Perimeter of triangle ABC = 5(3+13) = 5 x 16 = 80
Angle A = 30°, Angle B = 60°
Therefore Angle C = 90°
Pythagorean triplet = 40/3, 96/3, 104/3
Area of triangle ABC = 1/2 x b x h
= 1/2 x 40/3 x 96/3
= 1920/9
= 213.3 cm^2
Hope this helps!
The area of the triangle is found by recognizing that it is a special 30-60-90 triangle with sides in the ratio of 1: √3 : 2. The area, using these ratios and the given perimeter, is calculated as 25√3 square units.
Explanation:This problem pertains to the area of a triangle. Because we know the two acute angles of triangle ABC, it is a 30-60-90 triangle. This is a special type of right triangle where the sides are in a particular ratio. In a 30-60-90 triangle, the sides across from the 30°, 60° and 90° angles are in the ratio of 1: √3 : 2.
Given that the perimeter is 5(3 + √13), we can set up the ratio for the sides as x, x√3, and 2x. Adding these together equals the perimeter: x + x√3 + 2x = 5(3 + √13). Solving this equation, we find x = 5.
The area of a triangle is calculated using the formula 1/2*base*height. Using the sides of the triangle, 5, 5√3, and 10, we will use the side across from the 90° angle (10) as the base and the side across from the 60° angle (5√3) as the height, giving us a triangle area of 1/2 * 10 * 5√3 = 25√3 square units.
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What 3 consecutive integers equal 84
First represent your 3 consecutive integers as follows.
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
Since their sum is 84, our equation reads x + (x + 1) + (x + 2) = 84.
Simplifying on the left side we get 3x + 3 = 84.
Now subtract 3 from both sides to get 3x = 81.
Dividing both sides by 3, we find that x = 27.
Finally, make sure you list all your answers.
If x is 27 then x + 1 is 28 and x + 2 is 29.
Answer:
27 + 28 + 29 = 84
Step-by-step explanation:
Let the three consecutive integers be x +1, x+2 and x+3
Thus,
[tex](x + 1) + (x + 2) + (x + 3) = 84[/tex]
Remove the brackets
[tex]x + 1 + x + 2 + x + 3 = 84[/tex]
Group the like terms
[tex]x + x + x + 1 + 2 + 3 = 84[/tex]
[tex]3x + 6 = 84[/tex]
To make 3x subject of formula, subtract 6 from both sides of the equation thus,
[tex]3x + 6 - 6 = 84 - 6[/tex]
[tex]3x = 78[/tex]
Divide through by 3
[tex] \frac{3x}{3} = \frac{78}{3} [/tex]
[tex]x = 26[/tex]
Since x = 26
[tex]x + 1 = 26 + 1 = 27[/tex]
[tex]x + 2 = 26 + 2 = 28[/tex]
[tex]x + 3 = 26 + 3 = 29[/tex]
Therefore, the three consecutive integers are 27, 28 and 29
Check
[tex]27 + 28 + 29 = 84[/tex]
what is the percent rate of growth? y=300(1+0.5)^x
___%
Answer:
y = abx. Where a ≠ 0, the base b ≠ 1 and x is any real number ... When given a percentage explanation:
A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues, what will be the population of moose after 12 years? Show all your work! Round your answer to the nearest whole number. (5 points)
The table referred to in the question is:
years=x population =y
0 40
1 62
2 96
3 149
4 231
Answer:
7,692 mooseExplanation:
To discover the pattern followed by the data in the table, since it is indicated that the moose population is growing exponentially, you can find the multiplicative rate by dividing any two consecutive terms:
rate = 62/40 ≈ 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55
Thus, using the first ordered pair of the sequence, (0,40), you get the equation that models the exponential growing:
[tex]p(x)=A_0(1.55)^{x}\\ \\ 40=A_0(1.55)^0\\ \\ 40=A_0\times 1\\ \\ A_0=40\\ \\ p(x)=40(1.55)^x[/tex]
Then, to find the population of moose after 12 years, you substitute x = 12:
[tex]p(12)=40(1.55)^{12}=7,692[/tex]
Will mark brainliest and 12 points
What is the value of the y-coordinate of the solution to the system of equations x-2y=1 x+4y=7
Answer:
A system of equations is shown below: x + y = 3 2x − y = 6 The x-coordinate of the solution to this system of equations is _____. I'm thinking it could be X=3
Step-by-step explanation:
The value of the y-coordinate of the solution to the system of equations is; y = 1.
According to the question;
We are required to find the y-coordinate of the solution to the system of equations.The equations given are;
x-2y=1 x+4y=7By solving the pair of equations simultaneously; we have;
-6y = -6y = 1Read more;
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Isabella has a bag containing 14 nickels and quarters. The total value of these coins is 2.50$
Answer:
If it contains 14 nickels and 14 quarters then it would actually be $4.20 in total.
Step-by-step explanation:
Phoebe bought a pencil and a ruler. She paid £1.45.loeh bought a ruler and two pencils.she paid£1.80. How much does the ruler cost?
Answer:
$ 1.10
Step-by-step explanation:
p + r = 1.45....p = 1.45 - r
2p + r = 1.80
2(1.45 - r) + r = 1.80
2.90 - 2r + r = 1.80
-2r + r = 1.80 - 2.90
-r = - 1.10
r = 1.10 <=== a ruler costs $ 1.10
p + r = 1.45
p + 1.10 = 1.45
p = 1.45 - 1.10
p = 0.35 .......a pencil will cost $ 0.35
By setting up simultaneous equations based on the purchases of Phoebe and Ioeh and solving them, we find that the cost of the ruler is £1.10.
Explanation:To determine the cost of the ruler, we need to set up two equations based on the given information about Phoebe and Ioeh's purchases and use the method of simultaneous equations.
Let's assume 'R' represents the cost of the ruler and 'P' represents the cost of one pencil.
According to the question:
Phoebe bought 1 ruler and 1 pencil, and she paid £1.45. So we get the equation: R + P = £1.45.Ioeh bought 1 ruler and 2 pencils, and she paid £1.80. So we get the equation: R + 2P = £1.80.To find the cost of the ruler, we can solve these equations simultaneously. Subtract the first equation from the second to eliminate R and find P:
1. R + 2P = £1.80
2. R + P = £1.45
Subtract equation 2 from equation 1:
2P - P = £1.80 - £1.45
P = £0.35
Now that we know one pencil costs £0.35, we can substitute P back into either equation to find R. Let's use the first equation:
R + P = £1.45
R + £0.35 = £1.45
R = £1.45 - £0.35
R = £1.10
Thus, the ruler costs £1.10.
2 Points
Which of the following is most likely the next step in the series?
WILL GIVE BRAINLIEST
33 < m - 91
Answer:
m > 124
Step-by-step explanation:
switch sides, add 91 to both sides then simplify :)
You need to isolate/get the variable "m" by itself on one side of the equation
33 < m - 91 Add 91 on both sides to get m by itself
33 + 91 < m - 91 + 91
124 < m [124 is less than m]
Find the LCM of the pair of numbers. 6 and 9 The LCM is .
Answer:
So the LCM of 6 and 9 is 18.
Step-by-step explanation:
List the factors of both numbers.
6: 6, 12, 18, 24, 30, 36,
9: 9, 18, 27, 36
The LCM of 6 and 9 is found by prime factorizing each number and taking the highest power of each prime that appears, resulting in an LCM of 18.
To find the LCM (Least Common Multiple) of the pair of numbers 6 and 9, we first need to prime factorize each number. The number 6 can be prime factorized as 2 times 3, and 9 can be prime factorized as 3 times 3 or 3². In order to find the LCM, we take the highest power of each prime number that occurs in the factorization of both numbers. So, we take 2 from the factorization of 6 (since it's the highest power of 2) and 3² from the factorization of 9 (since it's the highest power of 3), and multiply them together to get the LCM.
The LCM of 6 and 9 is 2 times 3² = 2 times 9 = 18.
Thus, the Least Common Multiple of 6 and 9 is 18.
Is y=4x-5 proportional or non proportional
Answer:
therefore the given equation is linear but it is not proportional.
Step-by-step explanation:
i) Is y = 4x - 5 proportional or non- proportional.
ii) therefore we can see that the equation is the same as the equation for a line, therefore the given equation is linear but it is not proportional.
A store has a display case with cherry, peach,
and grape fruit chews. There are 160 fruit chews
in the display case. Given that 25% of the fruit
chews are cherry and 40% are peach, how many
grape fruit chews are in the display case?
Answer:
56 grape
Step-by-step explanation:
160 fruit chews
25% are cherry, 40% are peach.....25 + 40 = 65%....so 65% of the fruit chews are NOT grape....meaning (100 - 65) = 35 % ARE grape.
so 35% of all the fruit chews are grape
35% of 160 = 0.35 * 160 = 56 are grape <===
The number of grape fruit chews in the display are 56.
To find the number of grape fruit chews in the display case:
Calculate the percentage of cherry and peach fruit chews: 25% cherry + 40% peach = 65% cherry and peach combined.
Subtract the combined percentage from 100% to find the percentage of grape fruit chews: 100% - 65% = 35% grape.
Calculate the number of grape fruit chews by finding 35% of 160 (total fruit chews): 35% of 160 = 0.35 x 160 = 56 grape fruit chews.
9(x + y) = 9x + 9y what algebraic property is that
Answer:
its a desperctive property
Step-by-step explanation:
PLEASE HELP!
A charter is to a city government as a ___ is to a state government.
A) law
B) bill
C) executive order
D) state constitution
A charter is to a city government as a state constitution is to a state government.
Answer: Option D
Explanation:
Apart from the national level constitution, in the United States of America, every state has its own constitution. They are more detailed when compared to the national constitution as they tend to have more words or content when compared to the national level constitution.
The shortest one belongs to Vermont and the longest one belongs to Alabama. These constitutions tell how the government of each state must function and carry out its day to day activities.
The relation Q is described as a list of ordered pairs, shown below.
Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }
Domain:
Range:
Answer:
Domain : {-2, -1, 0, 4}
Range: {-2, 2, 3, 4}
Answer:
b,c
Step-by-step explanation:
For the set D = (4,6,8,10), determine n(D)
n(D) = 4
Step-by-step explanation:
Given Data:
Set D = {4, 6, 8, 10}
The number of elements in a set is called the cardinal elements (or) cardinality of the sets. This is denoted by n(A).
Here it is denoted by n(D).
The number of elements in the set D is 4.
The cardinality of the set is 4.
Hence, n(D) = 4.
For the given set D; the number of elements in the set D as denoted by n(D) is; 4.
Elements of a set.According to the question;
We are required to determine n(D)The number of elements in a set is given by the notation n(D).
On this note, the set given in this question;
D = (4,6,8,10) has 4 elements.Ultimately, n(D) = 4 elements.
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aanswer now! pls oh pls
Answer: 25
Step-by-step explanation:
If two shapes are similar , then the ratio of their sides are also similar.
From the shapes given:
[tex]\frac{x}{50}[/tex] = [tex]\frac{20}{40}[/tex]
[tex]\frac{x}{50}[/tex] = [tex]\frac{1}{2}[/tex]
2x = 50
x = 25
Find the exact length of the third side.
Answer:
√41 or 6.40
Step-by-step explanation:
Pythagorean theorem:
a² + b² = c²
The third side is considered the hypotenuse (c²).
a² and b² will be represented by the legs.
a² = 4²
b² = 5²
c² = c²
4² + 5² = c²
16 + 25 = c²
31 = c²
√41 = c
[tex]\displaystyle\bf\\\textbf{A third side is hypotenuse.}\\\\The~length~of~the~hypotenuse=\sqrt{cat1^2+cat2^2}~~~(T.Pithagoras)\\\\The~length~of~the~hypotenuse=\sqrt{4^2+5^2}=\sqrt{16+25}=\boxed{\bf\sqrt{41}}[/tex]
Find an equation of the line through the points (-7,-8) and (-5,-3)
Answer:
[tex]y = \frac{5}{2} + \frac{19}{2}[/tex]
Step-by-step explanation:
From the question;
We are given, two points; (-7,-8) and (-5,-3)We are required to determine the equation of a line that passes through points (-7,-8) and (-5,-3).
Note that we can get the equation of a line when;
We are given two points where the line is passing through We are given the slope of the line and one point where the line is passing throughTherefore, since we are given two points where the line is passing through we can get the equation;
First, we determine the slope of the line;
slope = change in y ÷ change in x
That is;
[tex]slope=\frac{(-3--8)}{(-5--7)}[/tex]
[tex]=\frac{5}{2}[/tex]
Second, we take another point (x,y) and one of the points, in this case, we take (-5,-3).
Therefore;
[tex]\frac{y+3}{x+5}=\frac{5}{2}[/tex]
[tex]2(y+3)=5(x+5)\\2y + 6 = 5x +25\\2y= 5x + 19\\y = \frac{5}{2} + \frac{19}{2}[/tex]
Therefore, the equation of the line is [tex]y = \frac{5}{2} + \frac{19}{2}[/tex]
The owner of a produce stand is selling bunches of grapes, priced by the pound.she rounded each measurement to the nearest 1/8 of a pound
Josh bought a total of 1,800 grams of fruit. This includes 1.5 kg of oranges (converted to 1,500 grams), 150 grams of grapes, and 15,000 centigrams of apples (converted to 150 grams). The weights were converted to grams to find the total weight.
Explanation:The subject of the question you've asked pertains to Mathematics, specifically to the topic of weight measurement and addition. We have to convert different measurements to a uniform unit and then sum them up to find the total weight of all the fruits bought by Josh at the farmer's market.
To solve the problem presented in the question: Josh bought 1.5 kilograms of oranges, 150 grams of grapes, and 15,000 centigrams of apples. We want to find out the total weight of fruits in grams. First, we need to convert kilograms and centigrams to grams, since kilograms and centigrams are not directly compatible with grams. We know that 1 kilogram equals 1,000 grams, and 1 centigram equals 0.01 grams.
So, converting Josh's purchases to grams:
Oranges: 1.5 kg × 1,000 = 1,500 grams
Grapes: 150 grams (already in grams, no conversion necessary)
Apples: 15,000 cg × 0.01 = 150 grams
Now, we simply add all the weights in grams:
1,500 grams (oranges) + 150 grams (grapes) + 150 grams (apples) = 1,800 grams of fruit in total.
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Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.
A)I want to know the distance around the Ferris Wheel. Would I use Circumference or Area?
B)What is the formula needed to solve this problem?Look in your notes!
C)What is the distance traveled in one rotation? Explain how you used the formula to solve the problem.
Answer:
Part A) Circumference
Part B) C=π D
Part C) The distance traveled in one rotation is 628.32 feet
Step-by-step explanation:
Part A) we know that
The distance around the circle is equal to the circumference.
The Ferris Wheel have a circular shape
so
To find out the distance around the Ferris Wheel you should use the circumference
Part B) What is the formula needed to solve this problem?
we know that
The circumference is equal to multiply the number π by the diameter of the circle
so
C=π D
Part C) What is the distance traveled in one rotation?
we know that
One rotation subtends a central angle of 360 degrees
The distance traveled in one rotation is the same that the circumference of the Ferris wheel
we have
[tex]D=200\ ft[/tex] ----> diameter of the Ferris wheel
substitute in the formula of circumference
[tex]C=\pi (200)\\C=200\pi\ ft[/tex]
assume
[tex]\pi=3.1416\\C=200(3.1416)=628.32\ ft[/tex]
therefore
The distance traveled in one rotation is 628.32 feet
Bees bill for dinner was $98. She left a 15% tip. What was the total cost including the tip?
Answer:
$112.7
Step-by-step explanation:
15%=0.15
0.15*98=14.7
98+14.7=112.7
Theodore needs to mix a 10% fungicide solution with a 50% fungicide solution to create 100 milliliters of a 26% solution. How many milliliters of each solution must Theodore use?
Answer:
Therefore 40 milliliter of 50% fungicide solution is required
Therfore 60 milliliter of 10% fungicide solution is required
Step-by-step explanation:
i) Let the 10% fungicide solution have x milliliter and the 50% fungicide solution have y milliliter.
ii) Therefore 10x + 50y = 26(x + y)
x + y = 100
iii) form the first equation in ii) we get
16 x = 24 y Therefore [tex]x = \frac{24}{16} y = \frac{3}{2} y[/tex]
iv) substituting the value obtained in iii) in the second equation in ii) we get
[tex]\frac{3}{2} y + y = \frac{5}{2} y = 100[/tex]
Therefore y = 100 ÷ 2.5 = 40 milliliter
Therfore x = 100 - 40 = 60 milliliter
250 people went to couples only party at 9pm. 70 people left at 11pm.vhow many couples remain at the party? ar
Answer:
The answer is that 90 couples remain at the party after 11 pm
Step-by-step explanation:
Number of people who went to the couples only party at 9 pm = 250
Number of people who left the party at 11 pm = 70
How many couples remained at the party?
People that remained at the party = 250 - 70 = 180
Couples that remained at the party = 180/2 = 90
The answer is that 90 couples remained at the party after 11 pm
Which of the relations given by the following sets of ordered pairs is a function?
A. {(5,4),(4,3),(3,2),(4,5),(2,1)}
B. {(6,1),(-3,1),(3,5),(2,4),(-1,2)}
C. {(1,2),(-4,8),(-3,5),(1,-2),(7,12)}
D. {(5,4),(5,6),(5,8),(5,10),(5,12)}
Answer:
B
Step-by-step explanation:
You can solve this by using the vertical line test. When you do the vertical line test, the vertical line should only pass through one point on the function. That means that there can to be only one value of x for every y. Set B is the only set where the x value doesn't repeat.
In the provided sets of ordered pairs, B and D are considered functions. A function is a relation where each input corresponds to exactly one output, and in sets B and D, this requirement is met.
Explanation:
In mathematics, a relation is considered a function if and only if every input (also called the domain or the x-coordinate) corresponds to exactly one output (also called the range or the y-coordinate). In the language of ordered pairs, an ordered pair presents itself as (x, y). If x repeats with a different y in the set, then the relation is not a function.
So let's examine the sets of ordered pairs given:
A. {(5,4),(4,3),(3,2),(4,5),(2,1)} : The input 4 has two outputs (3 and 5); thus it's not a function.B. {(6,1),(-3,1),(3,5),(2,4),(-1,2)}:: Each input has only one output; thus it's a function.C. {(1,2),(-4,8),(-3,5),(1,-2),(7,12)} : The input 1 has two outputs (2 and -2); thus it's not a function.D. {(5,4),(5,6),(5,8),(5,10),(5,12)} : Although it might seem wrong as the input 5 repeats, the rule 'every input corresponds to exactly one output' isn't violated. Here, the function is just a vertical line (not a function in traditional sense), which doesn't contradict the definition of function.Therefore, the set of ordered pairs which are functions are B and D.
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What is the slope-intercept form of the equation y- 7 = 3(x-11)?
O
A. y=-3x - 40
O
B. y = 3x - 26
O
C. y=-3x - 36
O
D. y = 3x - 40
Answer: B. y = 3x - 26
Step-by-step explanation:
The equation of line in slope - intercept form is given as :
y = mx + c , where m is the slope and c is the y - intercept.
To write the given equation in this form , all we need do is to make y the subject of the formula.
y - 7 = 3 ( x - 11 )
y - 7 = 3x - 33
add 7 to both sides
y = 3x - 33 + 7
y = 3x -26
The students of a bayside middle school are going on a field trip . 15 students fit in a van and 3 students will be traveling in a car. write an algebraic expression for this problem and what is the meaning of the variable in your expression
Answer:
[tex]v = 15 \\ c = v \div 5[/tex]
Step-by-step explanation:
It could be this
If y varíes directly as x, and y es 48 when x is 6? Which expression can be used to find the value of y when x is 2? Pleaseeee!!
Answer:
Therefore the expression for y when x is 2 is
[tex]y=\dfrac{48}{6}\times 2[/tex]
Step-by-step explanation:
Given:
y varies directly as x, and y is 48 when x is 6
Means Direct Variation.
Therefore,
[tex]y=kx[/tex]
Where,
k = Constant of Proportionality
To Find:
y when x = 2
Solution:
First step we need to Find Constant of Proportionality
So put y = 48 and x = 6
Substituting the values we get
[tex]48=k\times 6\\\\k=\dfrac{48}{6}[/tex]
Now When x = 2 and [tex]k=\dfrac{48}{6}[/tex] y will be
[tex]y=\dfrac{48}{6}\times 2[/tex]
Therefore the expression for y when x is 2 is
[tex]y=\dfrac{48}{6}\times 2[/tex]