Answer:
12502 cards
Step-by-step explanation:
Given:
» total of 70707070 cards of the deck
» 15151515 cards were taken and put in a pile
Solve:
1. So, you can subtract 15151515 from 70707070 to find how many cards are left:
70707070 - 15151515 = 55555555
2. Now, there are 55555555 cards remaining in the deck since 15151515 cards were taken to put in a pile. Since the dealer deals the remaining cards to 4444 people, you can just do 55555555 divided by 4444 to find how many cards each person gets:
55555555 ÷ 4444 = 12501.25
3. 12501.25 is the exact number of cards each person gets, but you can’t have a fraction/part of a card. You have to find a specific remaining number:
0.25 is the same as [tex]\frac{1}{4}[/tex], and so convert [tex]\frac{1}{4}[/tex] into a fraction with a denominator of 4444, but is still equivalent to [tex]\frac{1}{4}[/tex]: You’ll get [tex]\frac{1111}{4444}[/tex], which is correct because it’s still equivalent to [tex]\frac{1}{4}[/tex]
4. So, the remaining 55555555 cards divided by 4444 people is 12501 cards and a remainder of 1111 cards. The 1111 cards can be distributed upon the players, but not everyone can get it. Since 12501 were to given to the players and after the remaining 1111 were also distributed, this means that some will have 12501 cards and others will have 12502 cards.
Answer: So, the greatest number of cards any player will have after all the cards are dealt is 12502 cards.
Tina wants to run 123 miles over
7 days. She wants to run the same
distance each day. How far must she
run each day?
Answer:
17 4/7
Step-by-step explanation:
we'll need to divide 123 by 7
123/7= 17 R 4
But she can't have an extra 4 miles out so,
17 4/7
Read the information below and answer the questions. Suppose a researcher wants to learn more about the mean attention span of individuals in some hypothetical population. The researcher cites that the attention span (the time in minutes attending to some task) in this population is normally distributed with the following characteristics: 20 36 . Based on the parameters given in this example, answer the following questions: 1. What is the population mean (μ)?
Answer:
The population mean (μ) = 26.
Step-by-step explanation:
a) Data and Calculations:
The population characteristics = 20 and 36
Total population of interest = 56 (20 + 36)
Number of groups in the population = 2
Therefore, the population mean (μ) = 56/2 = 28
b) Based on the parameters given in this example, the population mean equals the average of the group characteristic (attention span of individuals in minutes) or item of interest. The population mean is calculated by adding the values of the group characteristic and then dividing the result by the number of values.
Which statements are true about the ordered pair (−1, 5) and the system of equations?
{x+y=4x−y=−6
Select ALL correct answers.
The ordered pair (−1, 5) is a solution to the first equation because it makes the first equation true.
The ordered pair (−1, 5) is a solution to the second equation because it makes the second equation true.
The ordered pair (−1, 5) is a solution to the system because it makes both equations true.
The ordered pair (−1, 5) is not a solution to the system because it makes at least one of the equations false.
Answer:
you answer would be A,B,D there all the answer u cant just have one also I just took the test im from k12
A recipe for rice pudding calls for 2.5 cups of milk. The recipe makes 5 servings. How many cups of milk are needed to make 8 servings?
Step-by-step explanation
2.5 cups = 5servings
x cups = 8servings
2.5*8 = 5*x
20 = 5x
divide both sides by the coefficient of x
20/5 = 5x/5
4 = x
i.e x = 4
Translations have a certain notation:
If we want to move a point 5 units to the left and then up 9 units we show it like this:
(x-5 , y+9)
Why is the 5 a negative and the 9 positive?
Answer:
Because when your finding a point on the x line going left goes towards the negative side, like a number line. So for the y line think of it like the number line but going up is positive and going down is negative.
so if we wanted to go right 6 units and down 3 units it would written as:
(x+6,y-3) Because going right on the x line is like adding 6 units and going down on the y line is like subtracting 3 units for this example
Step-by-step explanation:
Please help with BOTh pics attached below. Since there are 2 i will give braineslt if u solve both of them, if you can only solve 1 that is fine tough
Answer:
[tex]1. x=27\\2. x=30[/tex]
Step-by-step explanation:
[tex]1.\ We\ are\ given\ that,\\Point\ W\ belongs\ to\ line\ VX\ or\ Point\ W\ lies\ in\ the\ line\ VX.\\Point\ Y\ belongs\ to\ line\ XZ\ or\ Point\ Y\ lies\ in\ the\ line\ XZ.\\\angle WXY=90\\Now\ let's\ consider\ \triangle XYW.\\We\ observe\ that,\\\angle XWY\ and\ \angle VWY\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\Hence,\\\angle XWY\ + \angle VWY\ =180\\\angle XWY=180- \angle VWY\\Substituting\ \angle VWY=6x\ in\ the\ equation\ (\angle XWY=180- \angle VWY),\\[/tex][tex]\angle XWY=180-6x\\Now\ \ \angle XWY\ and\ \angle WXY\ are\ interior\ angles\ opposite\ to\ \angle WYZ.\\\\Hence,\ from\ the\ 'Exterior\ Angle\ Property',\ we\ know\ that,\ the\\ measure of\ the\ \exterior\ angle\ is\ equal\ to\ the\ sum\ of\ the\ interior\ opposite\\ angles.\\Hence,\\\angle XWY + \angle WXY= \angle WYX\\Substituting\ \angle XWY=(180-6x),\ \angle WXY=90,\ \angle WYX=4x,\\(180-6x)+90=4x\\-6x-4x=-90-180 \\-10x=-270\\x=\frac{-270}{-10}\\x=27[/tex]
[tex]2. We\ are\ given\ that,\\Point\ N\ belongs\ to\ the\ line\ KO\ or\ Point\ N\ lies\ on\ the\ line\ KO.\\\angle LNM=45, \angle ONM=105, \angle NLM=90\\Hence,\\As\ we\ observe\ that,\\\angle LNM,\angle ONM\ and\ \angle KNL\ lie\ on\ the\ line\ KO\ and\ are\ hence,\\ supplementary.\\Hence,\\\angle LNM + \angle ONM\ + \angle KNL =180\\Substituting\ \angle LNM=45, \angle ONM=105,\\45+105+ \angle KNL=180\\150+ \angle KNL=180\\\angle KNL=180-150\\\angle KNL=30[/tex]
[tex]Hence\ by\ considering\ \triangle NML,\\\angle LNM + \angle NLM + \angle NML=180\ [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ by\ substituting\ \angle LNM=45, \angle NLM=90,\\45+90+\angle NML=180\\135+\angle NML=180\\\angle NML=180-135\\\angle NML=45\\Now,\ as\ we\ observe\ that\ \angle KNM= \angle KNL+ \angle LNM\\Hence\ by\ substituting\ \angle KNL=30, \angle LNM=45,\\\angle KNM=30+45\\\angle\ KNM=75\\[/tex]
[tex]Now,\ consider\ \triangle\ KNM,\\\angle NKM+ \angle KNM + \angle NMK=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ substituting\ \angle NKM=45, \angle KNM=75 , \angle NMK=2x,\\45+ 75 + 2x=180\\120+2x=180\\2x=180-120\\2x=60\\x=\frac{60}{2}\\x=30[/tex]
a circle has a diameter of 5 inches. What is the area of the circle in terms of pi
Answer:
The area of the circle is [tex]\mathbf{6.25\pi}[/tex]
Step-by-step explanation:
Area of a Circle
A circle of radius r has an area calculated by the following formula:
[tex]A=\pi r^2[/tex]
The diameter of a circle is twice the radius, thus the radius is half the value of the diameter.
A given circle has a diameter of 5 inches.
The radius of this circle is r = 5/2 = 2.5 inches.
Thus, the area is calculated below:
[tex]A=\pi 2.5^2 = 6.25\pi[/tex]
The area of the circle is [tex]\mathbf{6.25\pi}[/tex]
NEED HELP ASAP. FOR FINALS.
Classify the following statement as true or false.
Every quadratic function either has a maximum or minimum value.
A. False, became a quadratic equation does not have a maximum value.
B. True, because the graph of quadratic function is a curve that is either increasing or decreasing.
C. True, because the graph of a quadratic function is a parabola that either opens downwards or upwards.
D. False, because a quadratic function does not have a minimum value.
Answer:
C
Step-by-step explanation:
If the parabola opens upward, it has a minimum.
If it opens downwards, it has a maximum.
Every quadratic function either has a maximum or minimum value is true, because the graph of a quadratic function is a parabola that either opens downwards or upwards.
What is Quadratic Function?A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two. Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2.
What are properties of quadratic functions?Three properties that are universal to all quadratic functions:
1) The graph of a quadratic function is always a parabola that either opens upward or downward (end behavior).
2) The domain of a quadratic function is all real numbers.
3) The vertex is the lowest point when the parabola opens upwards; while the vertex is the highest point when the parabola opens downwards.
According to the question
Every quadratic function either has a maximum or minimum value.
As per the properties of Quadratic Function
This statement is true as
i> the graph of a quadratic function is a parabola
ii> The vertex is the lowest point when the parabola opens upwards or the vertex is the highest point when the parabola opens downwards.
Hence, Every quadratic function either has a maximum or minimum value is true, because the graph of a quadratic function is a parabola that either opens downwards or upwards.
To know more about Quadratic Function and its properties here:
https://brainly.com/question/2193294
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Which of the following systems of equations is an example of one where substitution is the best method?
A.)5x+3y=15
-3x+6=12
B.)y=2/7y+11
3x-4y=-24
C.)4x-5y=20
-6x+2y=-42
D.)x=4
Y=11
Answer:
B
Step-by-step explanation:
B is the best example where substitution is the best method since you already have one where y = something and you can plug -2/7x + 11 into the bottom equation for y and solve it that way. A and C make you get x or y by itself first first substitution would work and D already gives you the answers. B is the best since its already set in that format.
Grade 6 - End of term assessment
Question 7
A seamstress needs to cut 15-inch pieces of ribbon from a roll of ribbon that is
9 feet in length. What is the greatest number of 15-inch pieces the seamstress
can cut from 5 of these rolls of ribbon?
Show your work.
Answer:
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
Step-by-step explanation:
Given
Total length of one roll of ribbon = 9 feet
As the pieces have to be cut into inches, we will convert the measurement in feet to inches
As there are 12 inches in one feet, 9 feet will be equal to:
9*12 = 108 inches
Now first of all, we have to see how many 15 inches pieces can be cut from one role
So,
[tex]=\frac{Length\ of\ roll}{Length\ of\ piece}\\=\frac{108}{15}\\=7.2[/tex]
So the seamstress can cut 7 15-inch long pieces from a roll.
Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:
[tex]= 5 * 7 =35[/tex]
Hence,
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
The lay in Burlington collected $3 930 in overdue fees last year. This year, the library
collectieted 3144 What is the percent of decrease in the amount collected?
Answer:
We conclude that the percent of decrease = 20%
Step-by-step explanation:
Given
Original amount = $3930Amount of decrease = $3930 - $3144 = $786Using the formula
Percent of decrease = ( amount of decrease / orignal amount × 100 ) %
= ( 786 / 3930 × 100 ) %
= ( 0.2 × 100 ) %
= 20%
Therefore, we conclude that the percent of decrease = 20%
An ice cream shop offers 3 ice cream flavors 3 types of syrup and 2 toppings for sundaes
Answer: 18
Step-by-step explanation:
If it represents a number does it always represent 40% of number ?
Answer:
No
Step-by-step explanation:
ANSWER NOW PLEASE
for a singing contest in which 42,000 votes were cast, the winner received 3/5 of the votes. how many votes did the winner not receive
Given,
Total number of votes casted = 42,000
The winner received 3/5 of the votes.
To find,
How many votes did the winner not receive.
Solution,
Votes received by the winner is :
[tex]\dfrac{3}{5}\times 42000\\\\=25200[/tex]
Votes didn't received by the winner = Total votes - votes received
= 42,000 -25200
= 16800
Hence, 16800 votes is not received by the winner.
. Complete each statement:
a. Ten thousand is 1 more than _____
b. Ten thousand is 1,000 more than _______
c. Ten thousand is 10 more than________
d. Ten thousand is 100 more than______
The Canadian labor force as of 2019 was 32.7 million. There were 30.9 million employed What the unemployment rate would be?
Answer:
The unemployment rate would be 5.5%.
Step-by-step explanation:
It is given that,
The Canadian labor force as of 2019 was 32.7 million.
There were 30.9 million employed
We need to find the unemployment rate.
Unemployed = labor force - employed
= 32.7 - 30.9
= 1.8 million
[tex]\text{unemployment rate}=\dfrac{\text{unemployed}}{\text{labor force}}\times 100\\\\=\dfrac{1.8}{32.7}\times 100\\\\=5.5\%[/tex]
So, the unemployment rate would be 5.5%.
eighteen 2.5 gallon buckets are needed to fill a cistern with water. how many 3 gallon buckets of water would gill the cistern?
PLEASE ANSWER I WILL MARK BRAINLIEST!
Answer:
15
Step-by-step explanation:
45÷3
This is the correct awnser
Please help on this question
Answer: bagles: 200 muffins: 164
Step-by-step explanation:
Which math property is used in the expression below?
5(6 - 4) = 5(6) - 5(4)
Identity
Commutative
Associative
Inverse
Distributive
Answer:
Distributive
Step-by-step explanation:
Distributive Property
Los Angeles is 1,744 miles from Chicago, Chicago is 714 miles from New York, and New York is 2,451 miles from Los Angeles. Draw a triangle connecting these three cities, and find the angles in the triangle.
Answer:
Following are the solution to this question:
Step-by-step explanation:
please find the graph image in the attached file.
Given value:
[tex]AB= c= 1744 \ miles\\\\BC= a= 2451 \ miles\\\\AB= s= 714 \ miles[/tex]
using the law of cosines:
[tex]\cos A = \frac{s^2+c^2-a^2}{2bc}\\\\[/tex]
[tex]=\frac{714^2+1744^2-2451^2}{2 \times 714 \times 1744}\\\\= -0.9862[/tex]
[tex]A=cos^{-1} (-0.9862)\\\\A= 170.47^{\circ}[/tex]
[tex]\cos B = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\B=cos^{-1} (0.9988)\\\\B= 2.7641^{\circ}\\\\[/tex]
[tex]\cos C = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\C=cos^{-1} (0.9988)\\\\C= 2.7641^{\circ}[/tex]
Evaluate the expression 33 • (12 – 2) : 2.
33 • (12 – 2) = 2 =
?
Can u help??????????????????????????????????????//
Answer:
Okay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The answer is 14
Step-by-step explanation:
Folow order of operations and when doing multipactiona or subtraction or division and addition, make sure to go from left to right
Answer:
14
Step-by-step explanation:
Start with the multiplication. It should now look like this: [tex]20 - 15 + 81[/tex] ÷ [tex]9[/tex] Do the division: 81 ÷ 9 = 9Plug 9 in: [tex]20 - 15 + 9[/tex] Solve left to right in steps 5 and 6 below20 - 15 = 55 + 9 = 14So, the answer is 14I hope this helps!
At the start of a month a customer spends $3 for a reusable coffee cup. She pays $2 each time she has the cup filled with coffee. At the end of the month she has paid
$53. Write an equation to show x number of refills she got for the month.
Grace was given a large box of 54 chocolates for her birthday. If she eats exactly 6
chocolates each day, how many chocolates would Grace have remaining 6 days after
her birthday?
This is an arithmetic sequence question
PLEASE HELP!! I NEED THIS ANSWER TO GET A GOOD GRADE!!!!!
Answer:
-5-4
Step-by-step explanation:
Let me know if I am wrong, if I am I apologize.
Have a good one.
POSSIBLE POINTS : 13.33 If a wall has a diagonal beam holding it in place that is 12ft long and the height of the wall is 8ft and the base of the beam on the floor is 7ft from the wall is the wall perpendicular?
Answer:
Step-by-step explanation:
If the wall is perpendicular, then that means that this is a right triangle. We can find out if it is by using Pythagorean's Theorem and filling in the values for the sides. If the statement is true, then the triangle is right and the wall is perpendicular to the base.
[tex]a^2+b^2=c^2[/tex] and filling in:
[tex]7^2+8^2=12^2[/tex] Let's find out if this is true:
[tex]49+64=144[/tex] Is this true?
113 = 144
Definitely not true. So this is not a right triangle and the wall is not perpendicular to the floor.
Instructions
Scientific notation is a tool that is used frequently in science, including astronomy, chemistry, biology, and more. In this activity, imagine that you are a student intern at NASA and are researching information about travel within our solar system. You will complete a series of tasks using what you know about scientific notation and what you discover about our solar system to calculate distances that astronauts may use for their next trip to space.
Part 1
Using technology or other resources, research the average distance that each planet is from the sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the sun. The sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:
Planet Distance from sun (in km) Distance in scientific notation
Mercury 57,909,000
Answer:
We use scientific notation to lessen the load in terms of calculation that must be done. Its often good practice to go to the tenth place.In terms of your question please look at the provided image!Answer:
5.7909 * 10^7
Step-by-step explanation:
Scientific notation uses a number from 1 to under 10 and an integer power of 10.
57,909,000 = 5.7909 * 10,000,000 = 5.7909 * 10^7
Which of the following equations would produce a parabola? Check all that apply. –5x^2 + 4x – 7y + 14 = 0 –x^2 + 6x + y2 – 8 = 0 9x2 – 12xy + 4y2 + 4x – y + 5 = 0 12x + 6y – 5y2 + 14 = 0 20x2 + 10xy – y2 + 3x – 6y + 5 = 0
Answer:
A= –5x2 + 4x – 7y + 14 = 0
C= 9x2 – 12xy + 4y2 + 4x – y + 5 = 0
D= 12x + 6y – 5y2 + 14 = 0
Step-by-step explanation:
I finished the assignment from Edge2020
The equation which would produce a parabola from the provided options are equation first and forth,
[tex]-5x^2 + 4x - 7y + 14 = 0[/tex]
[tex]12x + 6y -5y^2 + 14 = 0[/tex]
How to identify the type of conic section from an equation?To of identify the type of conic section from an equation whether it is parabola, or not, let suppose the equation as,
[tex]Ax^2+By^2+Cx+Dy+E=0[/tex]
If In this equation,
Either [tex]A=0[/tex] or [tex]B=0[/tex], but not both. Then it is the equation of parabola.
The first equation is,
[tex]-5x^2 + 4x - 7y + 14 = 0[/tex]
There is no square term of y. Thus, this is the equation of parabola.
The second equation is,
[tex]-x^2 + 6x + y^2 - 8 = 0[/tex]
This is not the equation of parabola, as there is two square terms of variable x and y.
The third equation is,
[tex]9x^2 - 12xy + 4y^2 + 4x - y + 5 = 0[/tex]
Similar to the second equation, here is also two square terms of different variable. Thus, it is not a equation of parabola.
The fourth equation is,
[tex]12x + 6y -5y^2 + 14 = 0[/tex]
This equation is the equation of parabola, as there is only a single square term.
The fifth equation is,
[tex]20x^2 + 10xy - y^2 + 3x - 6y + 5 = 0[/tex]
This is now the equation of parabola because of two square terms.
Hence, the equation which would produce a parabola from the provided options are equation first and forth,
[tex]-5x^2 + 4x - 7y + 14 = 0[/tex]
[tex]12x + 6y -5y^2 + 14 = 0[/tex]
Learn more about the conic section here;
https://brainly.com/question/8320698
The Data set shows the ages of the members of two clubs.
CLUB A: 42, 38, 40, 34, 37, 46, 38, 45
CLUB B: 30, 44, 42, 61, 24, 27, 59, 65 m
(10 Points)
Find the mean age for CLUB A :
Answer:
it goes by +4 and -4
Step-by-step explanation:
Please asnerw this pic attached below
Answer:
x = 30
Step-by-step explanation:
Look at triangle LMN.
m<NLM + m<M + m<MNL = 180
90 + m<M + 45 = 180
m<M = 45
Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
<ONM is an exterior angle of triangle KMN.
The remote interior angles are <K and <M.
m<K + m<M = m<ONM
2x + 45 = 105
2x = 60
x = 30
Answer: x = 30