Answer:
The rate is 0.42 pumpkin pies per person
Step-by-step explanation:
In this question, we are to calculate the amount of pie eaten per person.
This is a rate question.
We have 5 pies and 12 hungry people who ate the same amount of pies as the next person.
The unit rate which is pumpkin pie person is mathematically calculated by dividing the number of pumpkins pies by the number of persons
Mathematically that would be 5/12 = 0.42 pies per person approximately
What is the simplified form of 3.1 - 5.8n - 4n + 8?
Answer:
-9.8n + 11.1
Step-by-step explanation:
1. Combine like terms
-5.8n - 4n = -9.8n
3.1 + 8 = 11.1
2. -9.8n +11.1
Answer:
-9.8n+11.1
Step-by-step explanation:
You have to add all like terms. That means that -5.8n and -4n have to be added together along with 3.1 and 8. That gets you -9.8n+11.1.
Round to 2 SF
646.42
plz
Answer:
650
Step-by-step explanation:
2sf= the first two figures
so you count to the first two sf numbers so in this case
it would be 64 then you look at the next one. But if it is 4 or below you round or if it is 5 and above you rounded up
in this case the third digit is a 6 so you would round up to 5
answer =650
The number 646.42 can be rounded to two significant figures by increasing the second significant figure up by one because the third figure is 6 which is greater than 5. Therefore, 646.42 becomes 650.
Explanation:You are requesting to round the number 646.42 to two significant figures (SF). Significant figures are the meaningful digits in a number. For example, in 646.42, there are five significant figures: 6, 4, 6, 4, 2.
To round to two significant figures, we look at the number in the third position, which is another 6. If this number is 5 or greater, we round the second significant figure up. If it is less than 5, we keep the second figure the same. Here, the next number after the two significant figure (6 and 4) is 6, which is more than 5, so you will round 4 up to 5.
Thus, rounded to two significant figures, 646.42 becomes 650.
Learn more about Rounding Numbers here:https://brainly.com/question/19166897
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Lynn and Dawn tossed a coin 30 times and got heads 18 times. What is the experimental probability of tossing heads using Lynn and Dawn’s results?
3/5
5/3
2/3
Answer:
3/5
Step-by-step explanation:
Answer:
Your answer should be 3/5
Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 666 meters. They already have 101010 meters of fencing.
How many more meters of fencing should they buy?
Steph's parents need to buy 1654 meters more of fencing.
To find out how many more meters of fencing Steph's parents need to buy, let's first calculate the perimeter of the square fence.
Since all sides of a square are equal, if each side measures 666 meters, then the perimeter of the square is:
[tex]Perimeter = 4 * Side[/tex]
Given that each side measures 666 meters:
[tex]Perimeter = 4 * 666[/tex]
Now, let's calculate the total perimeter:
[tex]Perimeter = 4 * 666[/tex]
[tex]Perimeter = 2664 meters[/tex]
Now, let's see how much fencing they already have and how much more they need to buy:
[tex]Fencing already obtained = 1010 meters[/tex]
[tex]Fencing needed = Perimeter - Fencing already obtained[/tex]
[tex]Fencing needed = 2664 meters - 1010 meters[/tex]
[tex]Fencing needed = 1654 meters[/tex]
Complete correct question:
Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 666 meters. They already have 101010 meters of fencing. How many more meters of fencing should they buy?
Simplify the expression:
4m + 6m +3
Answer: [tex]10m+3[/tex]
Combine Like Terms
[tex]4m+6m+3\\(4m+6m)+(3)\\10m+3[/tex]
Answer:
10m + 3
Step-by-step explanation:
You are supposed to add the like terms which are 4m and 6m to equal 10m
4m + 6m + 3
=
10m + 3
please give me brainliest
A newborn child receives a $20,000 gift toward college education from her grandparents. How much will the 20,000 be worth in 17 years if it is invested at 7% and compounded quarterly?
Answer:
The amount the $20.000 will be worth in 17 years at compound interest is $65068.443
Step-by-step explanation:
Here we have the Principal, P = $20,000.00
The annual interest rate, r = 7% = 0.07
Time , t = 17 years
Number of compounding period per year, m = quarterly = 4
The compound interest can be found from the following formula;
[tex]Amount, \ A = P \left (1 + \frac{1}{r} \right )^{mt}[/tex]
Therefore, by plugging the values of the equation parameters, we have;
[tex]Amount, \ A = 20000 \left (1 + \frac{0.07}{4} \right )^{4 \times 17} = \$ 65068.443[/tex]
Therefore, the amount the $20.000 will be worth in 17 years at compound interest = $65068.443.
So, the amount of $20,000 be worth in 17 years if it is invested at 7% and compounded quarterly is $65068.443 and this can be determined by using the compound interest formula.
Given :
A newborn child receives a $20,000 gift toward college education from her grandparents.
The formula of compound interest is given by:
[tex]\rm A= P(1+\dfrac{r}{n})^{nt}[/tex]
where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest applied per time period and t is the number of periods elapsed.
Substitute the known terms in the above formula:
[tex]\rm A = 20000(1+\dfrac{0.07}{4})^{4\times 17}[/tex]
[tex]\rm A = 20000(1.0175)^{68}[/tex]
A = $65068.443
So, the amount of $20,000 be worth in 17 years if it is invested at 7% and compounded quarterly is $65068.443.
For more information, refer to the link given below:
https://brainly.com/question/22803385
Gabe is twenty years older than his children. Laura is forty years older than her grandchildren. All members ages add to 290. Write an equation that would represent this scenario.
Answer:
290=(20+c)+(40+g)
Step-by-step explanation:
c=Gabe's children's age
g=Laura's grandchildren's age
all add up to 290
Concerned with poverty, 27 adults conduct a survey. According to the results 35% of adults are concerned with poverty. Let x= number of adults surveyed and y= adults concerned with poverty. If 200 adults are surveyed how many are concerned with poverty?
Answer:
70
Step-by-step explanation:
In this problem, 27 adults conduct a survey.
In the results of the survey, it is found that 35% of the adults are concerned with poverty.
If we call:
x = number of adults surveyed
y = adults concerned with poverty
This means that we can write the following relationship:
[tex]y=0.35x[/tex] (1)
where [tex]0.35[/tex] represents the percentage of adults concerned with poverty, rewritten in decimal form ([tex]0.35=\frac{35}{100}[/tex])
Later, we are told that 200 adults are surveyed, so now we have
x = 200
So substituting into eq(1) we can find how many of these adults are concerned with poverty:
[tex]y=0.35\cdot 200 =70[/tex]
What is the value of f(12)-f(8) when f(x)=3x+9
Answer:
12
Step-by-step explanation:
f(x)=3x+9
f(12) = 3*12 +9
36+9
45
f(8) = 3*8+9
=24+9
= 33
f(12) - f(8) = 45-33
12
HELP ASAP
Which rational number is greater than −3 1/3 but less than − 4/5?
A − 9/7
B −0.19
C − 22/5
D −0.4
Answer: A − 9/7
Step-by-step explanation:
Hi, to answer this question we have to convert all the numbers into decimal form.
-3 1/3 = - (3x3+1)/3 =-10/3 = - 3.3334
-4/5 = -0.8
Since he number must greater than −3 1/3 but less than − 4/5.
−3 1/3 < x < − 4/5.
- 3.3334 < x < -0.8
The correct option is A = -9/7 , because in decimal form is equal to -1.28-
- 3.3334 < -1.28 < -0.8
Choose the linear function below that does not have the same y-intercept as the other functions.
Answer:
The answer is a
Step-by-step explanation:
On a coordinate plane, a line goes through points (negative 1, negative 2) and (0, 1).
The linear function that does not have the same y-intercept as the other functions is: Option A
How to find the y-intercept?
The general form of the equation of a Line in slope intercept form is expressed as:
y = mx + c
where:
m is slope
c is y-intercept
1) In this graph, the y-intercept which is where the line crosses the y-axis is: y = 1
2) The y-intercept in the equation y = -8x + 3 is:
y = 3
3) The y-intercept here will be:
y = 3
4) The y-intercept in the equation y = 2x + 3 is:
y = 3
Last year,alex earened a monthly salary of $250, and ben earned a monthly salary of $180. This year, each of them received a pay increase of 25% this year, how much more did alex earn in one month then ben
Answer: Alex earned $87.5 more than Ben
Step-by-step explanation:
Last year,Alex earned a monthly salary of $250. This year, he received a pay increase of 25%. It means that the amount by which his pay was increased is
25/100 × 250 = 62.5
His new monthly salary would be
250 + 62.5 = $312.5
Last yearBen earned a monthly salary of $180. This year, he also received a pay increase of 25%. It means that the amount by which his pay was increased is
25/100 × 1800 = 45
His new monthly salary would be
180 + 45 = $225
The difference between the amount earned by Alex and Ben monthly is
312.5 - 225 = $87.5
3. There are 350 people in an office building. A local deli randomly surveyed people in the building to determine the average amount spent on lunch each week. Two samples are shown.
Sample 1: {$30, $25, $10, $25, $10} and Sample 2: {$5, $60, $10, $30, $50}
(a) Calculate the mean and the median of each sample.
(b) Which sample has the least spread among its data values? Which sample has the least deviations from the mean among its values?
(c) A third sample was obtained: {$30, $25, $20, $20, $25}. Which data set in Part (a) has measures of center that align more closely with the mean and the median of the new sample? Based on the three samples, which sample is least representative of the population?
Answer:
(a)Sample 1
The Mean = 20
The median = 25
Sample 2
The Mean = 31
The median = 60
(b) Sample 1 has the least spread
Sample 1 has the least deviations from the mean
(c) Sample 1 align with the third sample
The least representative of the population is sample 1
Step-by-step explanation:
The mean is ∑fx/∑f
∑fx = 30 + 25 + 10 + 25 + 10 = 100
∑f = 5
Mean = 100/5 = 20
For the median, we arrange the data in increasing order;
10, 10, 25, 25, 30
The median = the middle number = 25
Sample 2
The mean is ∑fx/∑f
∑fx = 5 + 60 + 10 + 30 + 50 = 155
∑f = 5
Mean = 155/5 = 31
For the median, we arrange the data in increasing order;
5, 10, 30, 50, 60
The median = the middle number = 30
(b) Sample 1 range =$30 -$10 = $20
Sample 2 range =$65 -$5 = $60
Sample 1 has the least spread
Sample 1 standard deviation = 9.354
Sample 2 standard deviation =24.083
Sample 1 has the least deviations from the mean
(c) $30, $25, $20, $20, $25
Mean = 24
$20, $20, $25, $25, $30
Median = $25
∑fx = 120
Therefore sample 1 align with the third sample
The least representative of the population is sample 1 with ∑fx = 100.
The area of a circle is 4π square kilometers. What is the radius? Write your answer in simplest form.
Answer:
2 km
Step-by-step explanation:
4π = π × r²
r² = 4
r = 2
For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the polar equation r=4+3 sin3theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.
Answer:
Step-by-step explanation:
To find the values of the angle which makes maximum r you use the derivative of r
[tex]\frac{dr}{d\theta}=\frac{1}{3}sin(3\theta)[/tex]
If you equals this derivative to zero you obtain the value of the angle:
[tex]\frac{dr}{d\theta}=0\\\\cos3\theta=0\\\\3\theta=\frac{\pi}{2}\\\\\theta=\frac{\pi}{6}[/tex]
However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal to 1.
hence, the answer is:
[tex]\theta_1=\frac{\pi}{6} \\\\\theta_2=\frac{5\pi}{6}\\\\\theta_3=\frac{9\pi}{6}=\frac{3\pi}{2}[/tex]
answer b
The maximum values of r for the polar equation r=4+3 sin 3θ occur at the angles where sin 3θ = 1, within the range of 0 to 2π. Solving the equation 3θ = nπ/2 for odd integers n gives the values of θ where r is maximum, which must be checked against the range [0, 2π].
Explanation:We can find the maximum values of r for the polar equation r=4+3 sin 3θ by looking for the values of θ that give the maximum value for the sinusoidal function sin 3θ.
Since we know that the sine function reaches its maximum value of 1, we can find the values of θ that satisfy the condition sin 3θ = 1 within the given range of θ from 0 to 2π.
Thus, the equation becomes r = 4 + 3(1), which simplifies to r = 7.
Now, we seek to solve 3θ = nπ/2 where n is an odd integer since the sine function is maximum at π/2, 3π/2, 5π/2, and so on. Therefore, we obtain θ values of π/6, π/2, 5π/6, etc., until we reach the limit of 2π.
We must also consider the range of the function which brings us to the fact that θ must lie within [0, 2π].
Thus, we have to evaluate this for values such as θ = π/6, 5π/6, 3π/2, and so on, checking which of these are within the specified range and hence can be considered valid solutions where maximum r values occur.
You measure 50 textbooks' weights, and find they have a mean weight of 52 ounces. Assume the population standard deviation is 14.6 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.
The 90% confidence interval = 48.603 < μ < 55.397
Explanation:
Given:
Mean = 52
Standard deviation = 14.6
Sample size, n = 50
Confidence Interval, c = 90%
c = 0.9
Significance level, α = 1 - c
= 1 - 0.9
= 0.1
Critical value, z(α/2) = z(0.05) = 1.645
Critical value = ± 1.645
Margin of error, E = [tex]z(\alpha /2) X \frac{SD}{\sqrt{n} }[/tex]
[tex]=1.645 X\frac{14.6}{\sqrt{50} } \\\\= 3.3965[/tex]
Limits of 90% confidence interval are given by:
Lower limit = μ - E
= 52 - 3.397
= 48.603
Upper limit = μ + E
= 52 + 3.397
= 55.397
Thus, 90% confidence interval = 48.603 < μ < 55.397
can you solve this equation?
Answer:
x=31
Step-by-step explanation:
(x-31)/4=0
multiply each side by 4 so that you have x-31=0.
x-31=0
add 31 to each side.
x=31
Answer:
No, unless you set it equal to zero.
Step-by-step explanation:
(x-31)/4=0
((x-31)/4) times 4 = 0 times 4
x-31=0
x-31 +31 =0 + 31
x=31
What do you notice? What do you wonder?
watches TV
W
not much TV
plays sports
no sports
PLEASE HURRY I'M TAKING A TEST 20 PTS
Simplify the expression (in the picture)
Answer:
D
Step-by-step explanation:
2 ( x − 3 )
x ( x + 1 )
Answer:
ANSWER IS D
Step-by-step explanation:
What is a residual value??
Answer:
In accounting, residual value is another name for salvage value, the remaining value of an asset after it has been fully depreciated. The residual value derives its calculation from a base price, calculated after depreciation.
Cooking oil is delivered to your restaurant in 5-gallon buckets. For easier pouring, the oil is stored in one-liter containers. How many one-liter containers are needed to completely empty the 5-gallon bucket?
Answer:
19 !
Step-by-step explanation: make me brainlist
F (x) = 5x-10 determine x when f (x) = 15
Answer: 5=x
Step-by-step explanation:
Ok, so if F(x)=15, then the equation would look like this: [tex]15=5x-10[/tex]
The next step would be to add the 10 over from the right to the left side to get [tex]25=5x[/tex]
Now divide both sides by 5 to get the answer.
round to the nears ten 9.42?
Answer:
9
Step-by-step explanation:
In order to round to the nearest ten you must think: what is the nearest multiple of 10. For example, to round 68 to the nearest 10, the nearest whole number is 70, so the answer would be 70. However if you were to round 63 to the nearest 10, to would be 50 since that is the nearest multiple of 10
Answer:9
Step-by-step explanation:
Since the next number is below five you don’t round up it just stays the same
Which correctly uses bar notation to represent the repeating decimal for StartFraction 6 Over 11 EndFraction 0.5ModifyingAbove 4 with bar 0.54ModifyingAbove 54 with bar 0.ModifyingAbove 54 with bar 0.ModifyingAbove 545 with bar
Answer:
Option C is your Correct AnswerStep-by-step explanation:
Answer:
c .54 w/ bar
Step-by-step explanation:
A shark is swimming 28 ft below sea level. If the angle of depression from a boat on the water to the shark is 19 degrees, what is the horizontal distance between the boat and the shark?
Answer:
81,3 ft to the nearest tenth.
Step-by-step explanation:
Tan 19 = 28 / h where h = the horizontal distance.
h = 28 / tan 19
h = 81.3 ft.
Final answer:
To calculate the horizontal distance between the boat and the shark, the tangent of the angle of depression (19 degrees) is set equal to the vertical depth (28 ft) divided by the horizontal distance. The horizontal distance is found to be approximately 81.32 ft.
Explanation:
To determine the horizontal distance between the boat and the shark when the shark is swimming 28 ft below sea level and the angle of depression from the boat to the shark is 19 degrees, we can use trigonometry, specifically the tangent function. The angle of depression corresponds to the angle between the horizontal sightline from the boat and the line of sight to the shark.
In the right-angled triangle formed by the vertical depth of the shark, the horizontal distance to the shark, and the line of sight from the boat, the angle at the boat's position is 19 degrees and the opposite side (depth) is 28 ft. Using the formula tangent of an angle equals the opposite side divided by the adjacent side (tan(θ) = opposite/adjacent), we get:
tan(19°) = 28/horizontal distance
Therefore, the horizontal distance = 28 / tan(19°) = 28/0.3443
Calculating this, we get the horizontal distance to be approximately 81.32 ft.
If 32 units represent $2,080, find the value of 6 units.
To find the value of 6 units when 32 units are worth $2,080, calculate the per unit value by dividing $2,080 by 32 to get $65 per unit, then multiply by 6 to obtain the value of 6 units, which is $390.
Explanation:The question asks to find the value of 6 units given that 32 units represent $2,080. To solve this, we first find the value of one unit by dividing the total amount of money by the number of units. So, $2,080 divided by 32 units gives us the value per unit.
Next, we multiply the value of one unit by the number of units we want to find the value for, which is 6 units. This will give us the value for 6 units. Let's go through the steps:
Calculate the value of one unit: $2,080 ÷ 32 units = $65 per unit.Find the value of 6 units: $65 per unit × 6 units = $390.Therefore, the value of 6 units is $390.
MATH PROBLEM NEED HELP NOW! (look at photo)
Answer:
I don’t see photo
Step-by-step explanation:
I
Don’t
See
The
Photo
18
Which transformation shows a reflection of ADEF?
Answer: B
Step-by-step explanation:
The reflection transformation in the second figure shows the correct reflection.
What are the types of translations?There are three types of translations -
reflectionrotationdilationGiven is a triangle ΔDEF.
It is asked to find the possible reflection of the triangle ΔDEF. After the reflection, the lines D'E' will be parallel and will be in the same orientation. So, we can see that the correct orientation is maintained only in the second transformation. So, the reflection transformation in the second figure shows the correct reflection.Therefore, the reflection transformation in the second figure shows the correct reflection.
To solve more questions on graph rotation, visit the link below-
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What is the answer for x-9=8
Answer:
x=17
Step-by-step explanation:
To solve this, we can add 9 to each side of the equation. This will cancel out the 9 to only leave x by itself on one side
Once we add 9 to each side, we will be left with x=17
help me please for brainliest!
Answer:
1)option b
2)option a
Step-by-step explanation:
1) circumference = 62.8 in
=> 2πr= 62.8
=> r= 62.8/(2×3.14)= 10 in
diameter = 2×10 in = 20 in
2)diameter = 14m
radius = 7 m
Area of the circle= πr² =3.14(7)²=3.14×49
= 153.86
=153.9 m²
Answer:
Q1) B
Q2) A
Step-by-step explanation:
Q1) The equation for working out the circumference of a circle is 2 × π × r or π × d, but here we are asked to do the reverse so,
π × d = 62.8
d = 62.8 ÷ π
d = 19.9
So the answer to the Q1) is 20 inches
Q2) We have to work out the area of the circle so we utilise the formula
π × r² . We only have the diameter but we can half it to find the radius so
14 ÷ 2 = 7. So 7 is the radius, now we substitute into the formula π × r²
3.14 × 7² = 153.86