There are 64 pieces that each child receive.
What is Division?It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Here, Joelle's parents have combined all the candy = 256 candy
Total number of Children = 4
Equal division of candy in 4 children = Total Candy/No. of children
= 256 / 4
= 64
Thus, there are 64 pieces that each child receive.
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Final answer:
Each of the four children, including Joelle, will receive 64 pieces of candy after dividing the total of 256 pieces evenly among them.
Explanation:
To find out how many pieces of candy each child receives, we need to divide the total number of pieces by the number of children. Joelle and her three siblings make a group of four children in total. They have accumulated 256 pieces of candy. To divide this evenly, we do the following calculation:
Divide the total number of candies (256) by the number of children (4).
The division gives us the result 64 pieces of candy for each child.
Therefore, each child, including Joelle, will receive 64 pieces of candy.
A falcon flew 112 miles in the same time that an eagle flew 56 miles.What is the difference in the distances the two birds traveled?
the falcon flew 56 miles more than the eagle
Answer:
the eagle flew 56 miles less than the falcon
Step-by-step explanation:
112-56=56
What are the period and amplitude of the function?
Question 1 options:
period: 5; amplitude: 3
period: 5; amplitude: 4.5
period: 6; amplitude: 3
period: 6; amplitude: 4.5
➷ The period is the distance from one part of the function to the same part of it.
In this case, the period is 5
The amplitude is the half the distance from the largest and smallest value
3 + 6 = 9
9/2 = 4.5
In this case, the amplitude is 4.5
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The math teacher asked Edith, "How old are you?" "Sixty years less than five times my brother's age," she answered. "That doesn't help me," replied the teacher. "Yes, it does," said Edith, "He and I are twins!" How old is Edith?
x= twin 1 and 2
x=5x-60
x-5x=-60
-4x=-60
x=15
check 15=5(15)-60
15=75-60
15=15
where Q and R are polynomials and the degree of R is less than the degree of B.
Answer:
see explanation
Step-by-step explanation:
[tex]\frac{a(x)}{b(x)}[/tex]
= [tex]\frac{2x^2-5x+6}{x-3}[/tex]
= 2x + 1 + [tex]\frac{9}{x-3}[/tex]
quotient q(x) = 2x + 1 and remainder r(x) = 9
3. Find the quotient of 5/31 divided by 15/23. Reduce your answer to the lowest fraction.
Answer:
The answer is 23/93
Step-by-step explanation:
In order to divide two fractions, we can flip the second one and multiply.
5/31 ÷ 15/23
5/31 × 23/15 = 23/93
Winona got her hair cut for $21. She left a 15% tip for the hair stylist. What is the total amount of money Winona paid?
Answer:
$24.15
Step-by-step explanation:
What you do is you take 15% and make it into a decimal which is .15.
Then you times it by $21. 21*.15=3.15.
You then take the $3.15 and add it to $21 to get
$24.15 as your answer.
Winona left a 15% tip for her $21 haircut, resulting in a tip of $3.15. When added to the cost of the haircut, it means she paid a total of $24.15.
Explanation:The question is asking us to find out how much Winona paid in total for her haircut, including a 15% tip. To find the amount of the tip, we can multiply the cost of the haircut (which is $21) by 15% (or 0.15 in decimal form): $21 * 0.15 = $3.15. To find the total amount Winona paid, we simply add the cost of the haircut to the tip: $21 + $3.15 = $24.15. So, Winona paid a total of $24.15 for her haircut.
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!!!!!!!!!!!!!!!!!I could use some help please uwu!!!!!!!!!!!
use the iterative rule to find the 7th term in the sequence~
an=30-4n
a7=___
thankyou!~bangtanboys7
Answer:
Step-by-step explanation:
Just substitute in 7 for the n.
30-4(7)
30-28
2
The 7th term in the sequence is 2.
(please give brainliest?)
The 7th term in the sequence defined by aₙ = 30 - 4n, substitute n with 7 and solve to get a₇ = 2. Thus, the 7th term is 2.
To find the 7th term in the sequence defined by the iterative rule aₙ = 30 - 4n, we need to substitute n with 7.
Start with the formula:⇒ aₙ = 30 - 4n
Substitute n with 7:⇒ a₇ = 30 - 4(7)
Calculate the result:⇒ a₇ = 30 - 28
The 7th term is:⇒ a₇ = 2
So, the 7th term in the sequence is 2.
Complete question:
Find the 7th term in the sequence
aₙ = 30 - 4n
Line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis ?
Answer:
(0,12)
Step-by-step explanation:
To write the equation of a line, calculate the slope between points (-3,3) and (-5,-3). After, substitute the slope and a point into the point slope form. Then convert to the slope intercept form to identify the y-intercept.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{3--3}{-3--5}= \frac{6}{2}=3[/tex]
Substitute m = 3 and the point (-3,3) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y -3 = 3(x--3)\\y-3 = 3(x +3)\\y-3=3x + 9\\ y = 3x + 12[/tex]
This means that it crosses at (0,12) since b - 12 for y=mx+b.
Answer:(0,12)
Step-by-step explanation:
Find the sum of the series 14+11+8+5........-82
The sum of this finite arithmetic series is -1122.
The sum of the arithmetic series 14+11+8+5...-82 is -1122. This is obtained by identifying the number of terms in the series, the first term, the last term and the common difference, then substitifying these values into the sum formula for an arithmetic series.
Explanation:The series provided is an arithmetic series, where each term decreases by 3 from the previous one. The formula to find the sum of an arithmetic series is S = n/2 * (a + l) where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term.
In this case, the difference between consecutive terms is -3, the first term a = 14, and the last term l = -82. We find the number of terms by using the relation, l = a + (n-1)*d where d is the common difference. By substituting the given values, we can find that n = 33 terms. Substituting these values into the sum formula gives: S = 33/2 * (14 - 82) = -1122.
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Find the diagonal of the rectangle solid with the given measures. I = 3, w = 5, h = 5
Hope this HELP:)))
☆ ☆
A rectangular prism has a volume of 729ft^3. The length width and height are the same. What is the length of each side
Answer:
9 feet
Step-by-step explanation:
If each side is the equivalent, each side of the prism is the cube root of 729
Cube root of 729 is 9
Each side is 9 feet long
Please answer this question only if you know it!
Answer:
d. 90°, 90°
Step-by-step explanation:
Both angles intercept 180° arc WZ. They are half the measure of the intercepted arc, hence both are 90°.
A two gallon container had all of its dimensions tripled. How many gallons does the new container hold?
When the dimensions of a two gallon container are tripled, the container can hold up to 54 gallons of liquid, since the volume will increase 27 times.
Explanation:The question is about how a two gallon container can hold when all of its dimensions are tripled. In mathematics, when dimensions of a cube (or a rectangular prism, which the container can be assumed to be) are increased proportionally, the volume, which is proportional to the cube of the dimensions, increases by the cube of that same factor.
In this case, the dimensions of the container have all been tripled (a three-fold increase) which results in the volume of the space inside the container increasing by 3³ = 27 times. Therefore, the two gallon container, when its dimensions are tripled, can hold 2 gallons x 27 = 54 gallons. It's important to understand this is a principle of geometry and works irrespective of the units of measurement used (gallons, liters, cubic centimeters, etc.)
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Last year Jo paid ?245 for her car insurance. This year she has to pay ?883 for her car insurance. Work out the percentage increase in the cost of her car insurance.
Answer:
The increase as a percentage is (2.60)(100%) = 260%
Step-by-step explanation:
The premium increase from last year is ($883 - $245), or $638.
The increase as a ratio is then $638/$245, or 2.60.
The increase as a percentage is (2.60)(100%) = 260%
Here's a graph of linear function. Write the equation that describes that function. Express it in slope-intercept form.
the y intercept is -3 because its touching (0,-3).
The graph goes right one and down five so the slope is -5
y=mx + b
y= -5x -3
The circumference of a circle is 28pi inches. What is the length of the radius of this circle?
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=28\pi \end{cases}\implies 28\pi =2\pi r\implies \cfrac{28\pi }{2\pi }=r\implies 14=r[/tex]
Write the equation for the inverse of y = cos 2x
Answer:
Inverse = (arcos x) / 2.
Step-by-step explanation:
y = cos 2x
2x= arcos y
x = (arcos y) / 2.
Inverse = (arcos x) / 2.
The equation for the inverse of y = cos 2x is obtained by switching the x and y variables and solving for y, resulting in y = arccos (x) / 2.
Explanation:The inverse of a function switches the roles of the x and y variables, so the first step to finding the inverse of y = cos 2x is to switch the x and y in the equation, giving us x = cos 2y. Now, we simply solve for y. The equation x = cos 2y is equivalent to 2y = arccos (x) where arccos is the inverse cosine function. Therefore, the final answer is y = arccos (x) / 2. This is the equation for the inverse of y = cos 2x.
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The layer cake has both vanilla and chocolate frosting. What percent of the surface area of the cake (not including the bottom) is chocolate? Round your answer to the nearest tenth of a percent. The radius is 6 in height for vanilla is 4 in height for chocolate is 4 in
Answer:
Step-by-step explanation:
2
What is the distance to the earth’s horizon from point P?
Answer:
156.7 miles.
Step-by-step explanation:
The radius and the tangent at the point of contact form a right angle so we can apply the Pythagoras theorem:
( 3959 + 3.1)^2 = x^2 + 3959^2
x^2 = 3962.1^2 - 3959^2
x^2 = 24555.41
x = 156.7 miles.
The solution is : 156.7 miles is the distance to the earth’s horizon from point P.
What is distance?The distance between two points is the length of the line joining the two points. Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
here, we have,
from the given diagram, we get,
The radius and the tangent at the point of contact form a right angle so we can apply the Pythagoras theorem:
( 3959 + 3.1)^2 = x^2 + 3959^2
x^2 = 3962.1^2 - 3959^2
x^2 = 24555.41
x = 156.7 miles.
Hence, The solution is : 156.7 miles is the distance to the earth’s horizon from point P.
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Jodie wants to buy a shirt regularly priced at $20. The shirt is on sale for 15% off the regular price. Which equation can be used to determine s , the sale price of the shirt, not including tax? A s = 20 – (20)(0.15) B s = 20 – (20 + 0.15) C s = 20(0.15) D s = 20 + 0.15
Answer:
it's A
Step-by-step explanation:
you toke the price and times it by the decimal of the discount
Answer:
0.150 x $20 = $ 3.00.
Step-by-step explanation:
You want to buy something that costs $20, and it's on sale for 15% off. What is the item's sale price?
First, convert the 15% to a real mathematical number. For percents, this is always done by dividing the 15% by 100%, or 15% / 100% = 0.150.
Second, find out what 15% of $20 is. This is the amount of the sale discount. This is always found by mulitplying 0.150 by the item's cost $20. So for this sale, you'll save $ 3.00 on this item.
This means, the cost of the item to you is $17.00$
Since the sample size is always smaller than the size of the population, the sample meana. must always be smaller than the population meanb. must be larger than the population meanc. must be equal to the population meand. can be smaller, larger, or equal to the population mean
Answer:
d. can be smaller, larger, or equal to the population mean
Step-by-step explanation:
The mean of the sample will depend upon which values are selected from the population to form the sample.
The sample mean can be any value below, above or equal to the population mean.
However, as more and more samples are taken and their means found, the mean of the sample means will approach the population mean.
Answer:
It can be smaller, larger, or equal to the population mean.Step-by-step explanation:
We know that the sample size is smaller than the size of the population, because it's a subset that must represent the population.
However, that doesn't mean the sample mean has to be smaller than the population mean, actually this stats can be smaller, equal or larger, it depends on another factors.
Therefore, the right answer is the last choice
It can be smaller, larger, or equal to the population mean.I REALLY NEED SOMEONES HELP ON THIS PLEASE!! I NEED THIS DONE TODAY!
Error analysis: Describe the error in the way the product of the two binomials is set up and/or solved. Please be specific. (Image is listed below)
Solve the problem in the question above correctly. Please show your work!
[tex]\huge\boxed{\text{The $5$ needs to be negative.}}[/tex]
Since the first binomial is [tex](x-5)[/tex], the [tex]5[/tex] is negative and must be that way when using the table.
Here's the corrected table:
[tex]\begin{array}{c|c|c|}\multicolumn{1}{c}{}&\multicolumn{1}{c}{3x}&\multicolumn{1}{c}{1}\\\cline{2-3}x&3x^2&x\\\cline{2-3}-5&-15x&-5\\\cline{2-3}\end{array}\\\\\\3x^2+x-15x-5\\3x^2-14x-5[/tex]
A man spends 80% of his salary and saves the rest. He saves $1080 a month. Find his salary
Question 10 Unsaved
A real estate agent made a scatter plot with the size of homes, in square feet, on the x-axis and the homeowner's property taxes on the y-axis. The variable have a strong linear correlation and the equation for the least squares regression line is yˆ=0.392x+638.118.
Based on the equation, what should the agent expect the property tax to be for a 2,400-square foot home in the area?
Question 10 options:
$2,464.12
$1,578.92
$1,190.94
$940.80
[tex]y = 0.392x + 638.118 \\ x = 2400 \\ y = (0.392 \times 2400) + 638.118 \\ y = 1578.92[/tex]
hope u understand
What is the value of x in the equation 3(2x + 4) = −6? (4 points)
−3
1
12
19
3(2x+4)=-6 6x+12=-6
- 12. -12
6x = -18
÷6. ÷6
x= -3
Answer:
-3
Step-by-step explanation:
3(2x+4)= -6
6x+12= -6
6x= -18
x= -3
Draw a number line and mark all described points on it. Numbers that are both larger than –2 and smaller than 3.
To mark the points on a number line that are both larger than -2 and smaller than 3, you would mark off the points at -1, 0, 1, and 2 on this line.
Explanation:To draw a number line and mark all points that are both larger than -2 and smaller than 3, follow these steps:
Draw a straight horizontal line. This is your number line. Mark an arbitrary point as 0, the origin. To the left and right of 0, begin to mark off equal intervals representing integers. Choose a numbering system where points to the right of 0 are positive and those to the left are negative. Your description requires numbers that are larger than -2 and smaller than 3. So you would mark off the points -1, 0, 1, and 2 on the number line. Learn more about Number Line here:
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To mark all points larger than -2 and smaller than 3 on a number line, draw a straight line with equal intervals, labeling -2 and 3, and shade in the area between them. For constructing a histogram, divide the data range into intervals, then draw and label bars on the y-axis to reflect the count of data points within each interval.
Explanation:
To draw a number line and mark all points that are both larger than –2 and smaller than 3, begin by drawing a horizontal line. Use a ruler to keep the line straight. Place tick marks at regular intervals, and label them with numbers from less than -2 to greater than 3, ensuring that -2 and 3 are clearly marked on the line. The numbers larger than -2 but smaller than 3 will be between these two points. Shade this region to indicate all the numbers that meet the condition.
Next, if you need to construct a histogram, you first need a set of data to work with. Once you have your data, determine the range of data and divide this range into five to six intervals. On the horizontal axis, or the x-axis, represent these intervals. Then, count how many data points fall within each interval. On the vertical axis, or the y-axis, draw bars for each interval with heights corresponding to the number of data points in each interval. Use your ruler for precision and label the axes to show the scale.
Let f(x)=6/−2+2e^−0.3x . What is f(−4) ?
DID THE TEST
ANSWER: 1.3
Answer:
[tex]f(-4)=1.3[/tex]
Step-by-step explanation:
we have
[tex]f(x)=\frac{6}{-2+2e^{-0.3x}}[/tex]
we know that
f(-4) is the value of the function for x=-4
substitute x=-4 in the function
[tex]f(-4)=\frac{6}{-2+2e^{-0.3(-4)}}[/tex]
[tex]f(-4)=\frac{6}{-2+2e^{1.2}}[/tex]
[tex]f(-4)=1.3[/tex]
Answer:
1.94
Step-by-step explanation:
We substitute -4 into as x in the equation, but first what is e?
e is a term that represents the base of a natural logarithm and is a irrational number, its called Euler's number. e is equivalent to:
[tex]e=2.718[/tex]
We can substitute -4 into the equation
[tex]=6/(-2+2*(2.718^(-0.3*-4)))[/tex]
[tex]=6/(-2+2*(2.718^(1.2)))[/tex]
[tex]=6/(-2+2*2.54)[/tex]
[tex]=6/(3.09)[/tex]
[tex]=1.94
Therefore f(-4)=1.94
A hot air balloon descended 99.6 meters in 12 seconds . What was the balloons average rate of descent in meters per second ?
8.6 meters per second
Find the value of C so that (x-3) is a factor of the polynomial p(x)
In general, you have that [tex](x-x_0)[/tex] is a factor of a polynomial [tex]p(x)[/tex] if and only if [tex]p(x_0)=0[/tex]
So, we want [tex]p(3)=0[/tex]. We have
[tex]p(3) = -3^3+ 9c -4\cdot 3 +3 = -27+9c-12+3 = 9c-36[/tex]
So, we have
[tex]p(3) = 0 \iff 9c-36 = 0 \iff x = \dfrac{36}{9} = 4[/tex]
Answer:
c = 4
Step-by-step explanation:
Given that (x - 3) is a factor of p(x) then x = 3 is a root and p(3) = 0
p(3) = - (3)³ + c(3)² - 4(3) + 3 = 0, hence
- 27 + 9c - 12 + 3 = 0
9c - 36 = 0 ( add 36 to both sides )
9c = 36 ( divide both sides by 9 )
c = 4
A company offers you a job with an annual salary of $70 000 for the first year and a 5% raise every year after. Approximately how much money in total would you earn in 5 years of working there?
$386794
$87500
$89340
$367500
Answer:
$89340
Step-by-step explanation:
70,000 (1 + .05)^5Answer:
$386794
Step-by-step explanation:
To find how much we're going to make in total after working for 5 years in the company, we can solve it by calculating for the total amount after each year.
So in the first year we get.
$70,000
To get how much we get in the 2nd year we add the extra 5%.
2nd year salary = (70000 x 0.05) + 70000
2nd year salary = 73500
Now we continue to do that until the 5th year
3rd = (73500 x 0.05) + 73500
3rd = 77175
4th = (77175 x 0.05) + 77175
4th = 81033.75
5th = (81033.75 x 0.05) + 81033.75
5th = 85085.44
Now we add them all up to get the total.
70000 + 73500 + 77175 + 81033.75 + 85085.44
We get:
$386794.19 or $386794