Answers
First write down what we know:
Number of papers delivered per year
(1) 31
(2) 55
(3) 60
(4) 78
Now add 31,55,60,78 and then divide by 4
[tex] \frac{31 + 55 + 60 + 78}{4} = 56[/tex]
Answer:
For the four years Alexis delivered 56 papers per week
Number 4:
Thomas caught 24 fish in total. He then gave 6 to his mother and then divided the rest of the fish between his two aunts. It want to know how many fish did each aunt get.
He had 24 the he gave 6 away so we have 24 - 6 = 18 fish left. Now he divide the rest 18 between his two aunts so 18 / 2 = 9. This mean each aunt received 9 fish each.
Related Questions
Use a surface integral to find the general formula for the surface area of a cone with height latex: h and base radius latex: a(excluding the base).
Answers
[tex]\mathbf s(u,v)=\left\langle u\cos v,u\sin v,\dfrac hau\right\rangle[/tex]
with [tex]0\le u\le a[/tex] and [tex]0\le v\le2\pi[/tex]. Then
[tex]\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=\sqrt{1+\dfrac{h^2}{a^2}}u\,\mathrm du\,\mathrm dv[/tex]
The area of this surface (call it [tex]\mathcal S[/tex]) is then
[tex]\displaystyle\iint_{\mathcal S}\mathrm dS=\sqrt{1+\frac{h^2}{a^2}}\int_{v=0}^{v=2\pi}\int_{u=0}^{u=a}u\,\mathrm du\,\mathrm dv=a^2\sqrt{1+\frac{h^2}{a^2}}\pi=a\sqrt{a^2+h^2}\pi[/tex]
Final answer:
The surface area of a cone with height h and base radius a, excluding the base, is found using the lateral surface area formula A = π · a · l, where l is the slant height given by √(a² + h²).
Explanation:
To find the general formula for the surface area of a cone with height h and base radius a using a surface integral, excluding the base, we consider the lateral surface area of the cone. This is given by the integral along the slant height of the cone. To derive the formula, the slant height, l, can be found using the Pythagorean theorem, since the triangle formed by the slant height, radius of the base, and the height of the cone is a right triangle. The relationship is given by l = √(a² + h²).
The lateral surface area A can then be expressed as A = π · a · l. Substituting for the slant height, we get A = π · a · √(a² + h²), which is the desired formula.
This formula assumes that the cone is a right circular cone and the lateral surface is a smooth curve.
the slope of the line below is -5 which of the following is the point-slope form of the line (2,-8)
A. y - 8 = 5 (x + 2)
B. y + 8 = -5 (x - 2)
C. y - 8 = -5 (x + 2)
D. y + 8 = 5 (x - 2)
Answers
[tex] y - y_1 = m(x - x_1)[/tex]
m = slope = -5
[tex]y - y_1 = -5(x - x_1)[/tex]
(x,y) = (2,-8)
[tex]x_1 = 2[/tex]
[tex]y_1 = -8[/tex]
[tex]y - y_1 = -5(x - x_1)[/tex]
[tex] y - (-8) = -5(x - 2)[/tex]
[tex] y + 8 = -5(x - 2)[/tex] <------Answer
The photography club has 28 members .there are 12 boys in the club . What is the ratio of boys to girls in simplest form?
Answers
Write the ratio boys/girls as 12/16. Reduce this to 3/4.
John spent $24 of his savings on a watch and 1/5 of the remainder on a shirt. He still had 2/3 of his savings left. How much were his savings at first?
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how much is 1/5 of x? well is just (1/5)x or just x/5.
how much is 2/3 of x? well, is just (2/3)x or 2x/3.
we know those sum will add up to "x", let's check then.
[tex]\bf \stackrel{shirt}{\cfrac{x}{5}}+\stackrel{watch}{24}+\stackrel{leftover}{\cfrac{2x}{3}}=x\impliedby \begin{array}{llll} \textit{multiplying all by the \underline{LCD of 15}}\\\\ \textit{to get rid of the denominators} \end{array} \\\\\\ \boxed{15}\cdot \cfrac{x}{5}+\boxed{15}\cdot 24+\boxed{15}\cdot \cfrac{2x}{3}=\boxed{15}\cdot x\implies 3x+360+10x=15x \\\\\\ 13x+360=15x\implies 360=15x-13x\implies 360=2x \\\\\\ \cfrac{360}{2}=x \implies 180=x[/tex]
Final answer:
To find John's original savings, we set up an equation based on the information given and solved for the total savings, which was found to be approximately $154.29.
Explanation:
John spent $24 on a watch and then 1/5 of the remainder of his savings on a shirt. After these purchases, he had 2/3 of his savings left. To determine John's original savings, let's represent his total savings as S. After purchasing the watch, John had S - $24 remaining. He then spent 1/5 of this remainder on a shirt. After buying the shirt, 2/3 of his savings was left, which can be represented by the equation:
2/3 * S = (S - $24) - 1/5 * (S - $24)
Now, we can solve for S, by first distributing the 1/5 on the right-hand side of the equation:
2/3 * S = (S - $24) - 1/5 * S + 24/5
Then, we combine like terms:
(2/3 - 1/5) * S = $24 - 24/5
To combine the fractions, find a common denominator, which in this case is 15:
(10/15 - 3/15) * S = 96/5 - 24/5
(7/15) * S = 72/5
Finally, we multiply both sides of the equation by the reciprocal of 7/15 to solve for S:
S = (72/5) * (15/7)
S = (72*15)/(5*7)
S = $154.29
Therefore, John's original savings was approximately $154.29.
What is the unit rate of 1,700 in 40 minutes
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Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t be time.) There are presently 450 cases of Bangkok flu, and the number is growing by 10 new cases every month.
dn/dt=
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Final answer:
To represent the growth of Bangkok flu cases over time mathematically, the derivative dn/dt equals 10, indicating a constant increase of 10 cases per month.
Explanation:
To rewrite the statement in mathematical notation where n is the number of cases of Bangkok flu and t is time, we will express the changing number of cases as a function of time. Given that there are currently 450 cases and the number of cases is growing by 10 every month, we would write the instantaneous rate of change of the number of cases with respect to time as dn/dt = 10.
This is because the phrase 'growing by 10 new cases every month' implies a constant rate of growth over time, which is directly translated into a derivative in mathematical terms. In more complex scenarios, rates of growth could follow a pattern that might be represented by a function of t. However, in this case, the growth is linear and constant, which simplifies to the derivative being equal to the rate of growth: 10 cases per month.
How are the rules for division of signed numbers similar to the rules for multiplication of signed numbers?
Answers
like the sign of the product or quotient will be positive. Multiply or divide, if the signs aredifferent unlike the sign of the product or quotient will be negative
Final answer:
The division and multiplication of signed numbers follow the same sign rules: two positive numbers yield a positive result, two negatives give a positive, and a pair of numbers with different signs results in a negative outcome.
Explanation:
The rules for the division of signed numbers are similar to the rules for multiplication of signed numbers. Both operations follow the same pattern concerning the signs of the numbers involved:
When two positive numbers are involved, the result is positive (e.g., [tex]\frac{2}{1} = 2[/tex] or 2 x 1 = 2).
When two negative numbers are involved, the result is also positive (e.g., [tex]\frac{-2}{-1} = 2[/tex] or (-4) x (-3) = 12).
When one positive and one negative number are involved, irrespective of the operation, the result is negative (e.g., [tex]\frac{-3}{1} = -3[/tex] or (-3) x 2 = -6).
Therefore, both division and multiplication of signed numbers primarily depend on the signs of the numbers to determine the sign of the answer.
Jimmys school is selling tickets to annual dance competition. On the first day of tickets sales the school sold 12 adult tickets and 5 child tickets for a total of $93. The school took in $106 on the second day by selling 4 adult tickets and 10 child tickets. Find the price of an adult ticket and the price of a child ticket.
Answers
child - $9
Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. Part 1: How many radians does the minute hand move from 1:20 to 1:55? (Hint: Find the number of degrees per minute first.)
Answers
From 1:20 to 1: 55 we have 35 minutes or 7 x 5 minutes or
7 x 30° = 210°
To convert degree into radian, we apply the following formula:
degree/180° = radian/π
210/180 = r/π or (cross multiplication) →Radian = (π x 210/180
→ Radian = 7π/6 (simplify by 30)
Answer:
Part 1:
In order to find how many radians the minute hand moves from 1:20 to 1:55, we need to remember that there are 60 minutes in an hour (clock) and there are 360 degrees in the clock since the clock is a circle. After dividing 360 by 60, we find that each minute is equal to 6 degrees. After that, we can subtract the times, which tells us that there are 35 minutes between 1:20 and 1:55. Using this we can just multiply this out, to get 35 times 6, which is equal to 210 degrees. We can get our final answer by converting this into degrees. Since one 1 degree is about 0.0174, we can set up a proportion. After solving, we will get that the minutes hand moves 3.555 radians in total.
What number is the solution of the inequality of 10.6 < b
Answers
a chicken salad recipe calls for 1/8 pound of chicken per serving. How many pounds of chicken are needed to make 8 1/2 servings?
Answers
Answer:
[tex]\frac{17}{16} [/tex]pounds of chicken are needed to make[tex]8\frac{1}{2}[/tex] servings.
Step-by-step explanation:
Chicken required for 1 serving = [tex]\frac{1}{8}[/tex] pounds
Number of serving required for salad = [tex]8\frac{1}{2}=\frac{17}{2}[/tex]
Chicken required for [tex]8\frac{1}{2}[/tex] servings be x.
[tex]x=\frac{1}{8}\times \frac{17}{2} pounds[/tex]
[tex]=\frac{17}{16} pounds[/tex]
[tex]\frac{17}{16} [/tex]pounds of chicken are needed to make[tex]8\frac{1}{2}[/tex] servings.
G evaluate lim h → 0 (1 + h)9 − 1 h . hint: this limit represents the derivative of a function f at a given point
a. find f and a, and then evaluate the derivative.
Answers
Write [tex]1=1^9[/tex], and recall that for a differentiable function [tex]f(x)[/tex], the derivative at a point [tex]x=a[/tex] is given by
[tex]f'(a)=\displaystyle\lim_{h\to0}\frac{f(a+h)-f(a)}h[/tex]
which would suggest that for this limit, [tex]f(x)=x^9[/tex] and [tex]a=1[/tex]. We have [tex]f'(x)=9x^8[/tex], and so the value of the limit would be [tex]9(1)^8=9[/tex].
Log_2(log_5 x) =3 show steps
Answers
If Log(x) = y ; then b^y = x
[tex]Log_{2} (Log_{5} (x)) = 3 \\ \\ 2^{3} = Log_{5} (x) \\ \\ 8 = Log_{5} (x) \\ \\ x = 5^{8} \\ \\ x = 390,625[/tex]
Answer:
[tex]\large \textsf{Read below}[/tex]
Step-by-step explanation:
[tex]\large \text{$ \sf log_2\:(log_5\:x) = 3$}[/tex]
[tex]\large \text{$ \sf log_2\:(log_5\:x) = log_2\:8$}[/tex]
[tex]\large \text{$ \sf log_5\:x = 8$}[/tex]
[tex]\large \text{$ \sf log_5\:x = log_5\:390,625$}[/tex]
[tex]\large \boxed{\boxed{\text{$ \sf x= 390,625$}}}[/tex]
The average person lives for about 78 years. Does the average person live for at least 1,000,000 minutes? (Hint: There are 365 days in each year, 24 hours in each day, and 60 minutes in each hour.)
Answers
Answer:
cool kkdkdkkdkkfkkfkfkd
What is the center of a circle whose equation is x^2+y^2-12x-2y+12=0
Answers
(x-H)² + (y-K)² = r² where (H, K) are the coordinates for the center of the circle and r is the radius. You can do this by completing the square for both x and y terms:
x² + y² - 12x - 2y + 12 = 0
x² + y² - 12x - 2y = -12
x² - 12x + y² - 2y = -12
To complete the square take half of the x-term and square it then add it to both sides of the equation. So take half of -12 which is -6, square it: -6² = 36 and add it to both sides.
x² - 12x + 36 + y² - 2y = -12 + 36
Do the same for y:
x² - 12x + 36 + y² -2y + 1 = -12 + 36 + 1
Now reduce each perfect square polynomial to squared form by remembering the FOIL rule for factoring:
(Ax + B)(Cx + D)
First + Outer + Inner + last
A²x² + ADx + BCx + D²
Now just work backwards and figure out what terms multiply to give you the trinomial you have. Let's start with the x :
x² - 12x + 36
Looks like 36 is perfect square of 6 and the negative sign in the middle term indicates subtract 6, so x - 6. Check it!
(x - 6)² = x² - 3x - 3x + 36 = x² - 6x + 36
Yes, it works! Now the y :
y² - 2y + 1
This looks good too since 1 is a perfect square:
(y - 1)² = y² - 1y - 1y + 1 = y² - 2y + 1
Perfect!
Now put it back into the equation:
x² - 12x + 36 + y² - 2y + 1 = -12 + 36 + 1
(x - 6)² + (y - 1)² = -12 + 36 + 1
Simplify the right:
(x - 6)² + (y - 1)² = 25
Beautiful! The equation of the circle! The center is (6,1) with radius 5. Now we can attack the parts in the question.
(a) First part asks us to find point B, knowing point A is (3,-3) and that AB is a diameter of the circle. Since we know the coordinates of the center and the fact that a diameter is just a line that goes through the center, we have 3 points on the line: A, B, and the center. We can just realize that the point B is equidistant and exactly opposite the point A with respect to the center. So let's find the difference between point A and the center, and move that distance to get to B:
center - A = (1 - -3) / (6 - 3) = (1 + 3) / (6 - 3) = 4 / 3
READ THE PICS AND JUST SAY ABCD THANKS
Answers
Since power ³ is outside parenthesis, you should put the power to each expression inside parenthesis as below
2³(g⁵)³ / 4³(h²)³
in the multiplication of exponents, you add the indices
8(g⁵⁺³) / 64(h²⁺³)
8g⁸ / 64h⁵
it simplifies into
1g⁸ / 8h⁵
Your answer is D) g⁸ / 8h⁵
Complete this item.
For the following figure, can you conclude that l | | m? Select true or false.
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Answer: False. Both angles are not equal therefore the lines l and m are not parallel.
A full container of juice holds 64 fluid ounces.How many 7 fluid ounce servings of juice are in a full container?
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if you meant 8 fluid ounce servings then it would be 8 servings with no remainder
How much does mike earn at fresh foods if he works 20 hours ? 40 hourss ? 60 hours ? when mike gets paid 10 per hour
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1 hour = $20
20 hours = $ 20 x 20
= $400
40 hours = $20 x 40
= $800
60 hours = $20 x 60
= $1,200
Hope this helps :))
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Three times a first number decreased by a second number is 1. the first number increased by twice the second number is 12. find the numbers.
Answers
Final answer:
The first number is 2 and the second number is 5.
Explanation:
Let's represent the first number as x and the second number as y.
According to the problem, we have the following equations:
3x - y = 1 (Equation 1)
x + 2y = 12 (Equation 2)
To solve this system of equations, we can use the method of substitution. We can rearrange Equation 2 to solve for x:
x = 12 - 2y
Now, we substitute this value of x into Equation 1:
3(12 - 2y) - y = 1
Expand and solve for y:
36 - 6y - y = 1
Combine like terms:
-7y = -35
Divide both sides by -7:
y = 5
Now, substitute this value of y back into Equation 2 to find x:
x + 2(5) = 12
x + 10 = 12
Subtract 10 from both sides:
x = 2
Therefore, the first number is 2 and the second number is 5.
circle P had a circumference of approximately 75 inches. what is the approximate of the radius ,r? use 3.14 for
Answers
2×3.14×r=75
6.28 r=75
r=75/6.28=11.943=12 inch (nearly)
Answer:
1) 12in
Step-by-step explanation:
The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes y= 1/2 x− 3/2
Answers
The x-intercept would be, (3,0). And the y-intercept would be, (0,-3/2).
You need 1 1 4 114 cups of sugar to make 20 cookies. How many cups of sugar will you need to make 14 cookies?
Answers
write the quotient in standard form:
8-7i/1-2i
Answers
22/5+(9/5)i
To get rid of i in the denominator, use the difference-of-two-squares formula: (a+b)(a-b) = a²-b²
The denominator of your fraction is 1-2i. If we were to multiply the denominator by (1+2i), we would get (1-2i)(1+2i) = 1-(-4) = 5.
Of course, if we are going to multiply the denominator by (1+2i), we must also multiply the numerator by (1+2i). So your numerator becomes:
(8-7i) * (1+2i) = 8 + 16i - 7i +14 = 22+9i
Thus,
(8-7i) / (1-2i) = (22+9i) / 5
But standard form requires that we complete the division. So:
(8-7i) / (1-2i) = 22/5 + (9/5)i
The answer, then, is 22/5 + (9/5)i
The quotient in standard form for (8 - 7i) / (1 - 2i) is (22 + 9i) / 5. In this form, the numerator has real and imaginary components, while the denominator is a real number.
The division is simplified, providing a representation of the complex number in a standard format.
To write the quotient result of division in standard form,
Get rid of the imaginary unit 'i' from the denominator.
To do that, multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of 1 - 2i is 1 + 2i.
So, let's perform the multiplication:
(8 - 7i) / (1 - 2i) × (1 + 2i) / (1 + 2i)
Now, use FOIL (First, Outer, Inner, Last) method to expand the numerator:
Numerator = (8 - 7i)(1 + 2i)
= 8 + 16i - 7i - 14i² (remember that i² is -1)
= 8 + 9i - 14(-1)
= 8 + 9i + 14
= 22 + 9i
Now, let's expand the denominator:
Denominator = (1 - 2i)(1 + 2i)
= 1 + 2i - 2i - 4i²
= 1 - 4i²
= 1 - 4(-1)
= 1 + 4
= 5
Therefore, the quotient in standard form is (8 - 7i) / (1 - 2i) = (22 + 9i) / 5.
learn more about quotient here
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6-4. find p(x = 4) if x has a poisson distribution such that 3p(x = 1) = p(x = 2)
Answers
[tex]f_X(x)=\dfrac{e^{-\lambda}\lambda^x}{x!}[/tex]
We're given that [tex]3\mathbb P(X=1)=\mathbb P(X=2)[/tex], so
[tex]\dfrac{3e^{-\lambda}\lambda^1}{1!}=\dfrac{e^{-\lambda}\lambda^2}{2!}[/tex]
[tex]\implies3\lambda=\dfrac{\lambda^2}2[/tex]
[tex]\implies\lambda^2-6\lambda=\lambda(\lambda-6)=0[/tex]
[tex]\lambda[/tex] must be positive, so we arrive at [tex]\lambda=6[/tex], which means
[tex]\mathbb P(X=4)=\dfrac{e^{-6}6^4}{4!}=\dfrac{54}{e^6}\approx0.1339[/tex]
Will Reward Brainliest!
Answers
So, I solved it for you but I couldn't type it here because they don't have everything I need :) . Please see the pictures below for the answer.
Best of luck!
If you need help in the future, just send me a message then I'll help you out :)
Garebear~
−2 is less than or equal to w , and 8 is greater than or equal to w Use w only once in your inequality.
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What is the missing number in this pattern? 1, 1, 2, 3, 5, 8, 13,
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A pond at a hotel 4,290 gallons of water. The groundskeeper drains the pond at a rate of 78 gallons of water per hour. How long will it take to drain the pond?
Answers
divide total gallons by rate:
4290 / 78 = 55 hours
suppose a compact car uses 1 gallon of fuel for every 27 miles traveled. How would the graph for the compact car compare to the graph for the car shown?
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Answer:
1. The meaning of (2, 40) is that - when 2 gallons of fuel is used, then the distance covered will be 40 miles.
2. Equation will be :
[tex]y=20x[/tex]
where y is the total distance in miles and x is the number of gallons used.
3. When we have to tell as per graph, that the car travels 27 miles in 1 gallon, the points will be : (1,27) , (2,54) , (3,81) and so on.