Answer:
Step-by-step explanation:
events are 1+1+4=6
1+2+3=6
1+3+2=6
1+4+1=6
2+1+3=6
2+2+2=6
2+3+1=6
3+1+2=6
3+2+1=6
4+1+1=6
total number of ways=10
Answer:
10 ways
Step-by-step explanation:
First we have to find three numbers that add up to 6, as each friend has at least one pencil, meaning that there are always and only three people who have pencils. The three combinations that add up to 6 are 1,2,3; 2,2,2; and 4,1,1. Now we just have to find how many ways these pencils can be distributed between the friends.
For 2,2, and 2, it is simple as there is only one way these pencils can be distributed, 2 pencils per friend, so there is one way to distribute 2,2 and 2.
For 1,2 and 3, we can use factorial to determine how many ways these groups of pencils can be distributed. Since the first person can pick between 3,2, and 1 pencil(s), they have 3 options. Multiply this by 2 options for the second person and 1 for the third, we have 3*2*1=6 ways to distribute, or 3!.
Finally for 4,1, and 1, since two of the options are the same, that means that the 4 is the only unique one, meaning that there are only 3 distributions as one of the three friends will have the 4 pencils. This means that there are 3 ways to distribute.
Now adding up all the possible ways to distribute, we get 1+6+3=10 ways to distribute the pencils.
Which of the following is equivalent to: -5 - 4?*
Answer:
-9
Step-by-step explanation:
-5 - 4 = -5 + (4)
You are adding two negative numbers, so add the absolute values of the numbers, and the sign of the answer is negative.
-5 - 4 = -(|-5| + |4|) = -(5 + 4) = -9
Help me fill in the blanks please
Answer:
Step-by-step explanation:
In ΔABC & ΔDCE
DE // AB Given
∠CDE ≅ ∠CAB Corresponding angles are congruent
∠CED ≅ ∠CBA Corresponding angles are congruent
ΔABC ~ Δ DEC AAA similarity
In how many different ways can 5 people be seated at a round table?
Answer:
120
Step-by-step explanation:
there is a simple way to solve these
the equation is
1 x 2 x 3 x 4 x 5
up to whatever number of objects
Answer:
There are 120 ways that 5 people can b seated if they are at a round table.
Step-by-step explanation:
What you do to find this out in a simple way is to multiply.
1 x 2 x 3 x 4 x 5 = 120
Consider functions f and g below. [tex]g(x) = -x^2 + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.
Answer:
Step-by-step explanation:
Where is f(x)? My answers pertains only to g(x) = -x^2 + 2x + 4.
Part of B is true: As x approaches infinity in either direction, g(x) approaches negative infinity. The graph of g(x) is an inverted parabola.
A geometric sequence of positive integers is formed for which the first term is 2 and the fifth term is 162. What is the sixth term of the sequence?
Answer:486
Step-by-step explanation:
(Multiply by 3 each time ;))
Hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
multipl each 3 times
Step-by-step explanation:
Gina is building a tent. The dimensions of the tent are shown in the diagram.
10 ft
12 ft
16 ft
10 ft
10 ft
8ft
The tent is made of fabric. How many square feet of fabric were used to make the tent?
448 square feet
512 square feet
560 square feet
608 square feet
Answer:
608 ft
Step-by-step explanation:
(2(0.5bh)) + 2bh + bh
Answer:
its D
Step-by-step explanation:
which side of the quadrilateral abcd
has a length equal to 10?
Answer:
AD
Step-by-step explanation:
You must measure the difference between A and D. To get to this answer you should try all available combinations.
pls help i give brainliest
Answer: B no
Step-by-step explanation:
Plot in the x and y coordinates into the equation to solve it.
The x coordinate is 4 and the y coordinate is 1
-4(4) +3(1)= 2
-16 + 3 = 2
-13 ≠2
-13 does not equal 2 so (4,1) is not a solution.
Answer: NO
Step-by-step explanation:
[tex]Substitute \\\\-4(4)+3(1)=2\\\\Multiply\\\\-16+3=2\\\\Combine \\like \\terms\\-13=2[/tex]
-13 does NOT equal 2, so it is not a solution
Hope it helps <3
Find the slope of the line on the graph.
Answer:
m = -3/4
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the formula:
(0, 1) y-int
(4, -2) random
m = (-2 - 1)/(4 - 0)
m = -3/4
A car begins to depreciate at a rate of 24.9% annually as soon as it is driven off the lot. If a car was purchased for 26,500; how much is it worth after the second year? The equation you used is? What is the value of the car after two years?
Answer:
13197
Step-by-step explanation:
You have to do 24.9*2 and then find that percent of 26500
Calculate the mean of this data set: 12, 35, 44, 74, 23, 49, 45, 18, 90, 56, 84,
38, 7. What is the sample proportion of numbers that are within +10 of
the mean? (Round off the mean to the nearest integer for your calculations.)
Answer: 0.38
Step-by-step explanation:
The mean is the sum of all the observations divided by the number of observations. It is 44.2 (rounded off to 44) Next is fraction observations that lie between 34-35 (just answered this and it is correct)
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Include a let statement in your answer.
Answer:
5$??.
Step-by-step explanation:
If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.
Answer:
5 dollars
Step-by-step explanation:
Let x be the price of each eraser
We bought a magazine and 4 erasers with 25 dollars
so : 5+4x = 25⇒ 4x= 20⇒x= 20/4⇒ x=5
The eraser costs 5 dollars
For f(x) = 2x +1 and g(x) = x^2-7, find (f/g) (x)
Answer:
(2x + 1)/(x^2 - 7), x ≠ ±√7
Step-by-step explanation:
I'm not sure if this is what your looking for.
pllllllllzzzzzzz answer this!!!♥️♥️
9514 1404 393
Answer:
a) 7:24 pm
b) later than 7:24 pm
Step-by-step explanation:
The relationship between time, speed, and distance can be written as ...
time = distance/speed
So, Faris's travel time to London is predicted to be ...
time = (195 mi)/(50 mi/h) = 3.9 h = 3:54 hours
__
a) Faris's expected arrival time at a speed of 50 mph is ...
3:30 pm +3:54 = 6:84 pm = 7:24 pm
__
b) Time is inversely proportional to speed, so a lower speed will result in a longer time.
Faris's arrival time will be later than 7:24 pm.
SOMEONE PLEASE HELP!!! in the graph below, find the coordinate of the image point. O is the origin and P is the point (4,3). Ry and Rx are reflections around the x- and y-axes. R p,90 o R o,-90 : (-1,-1)
•(-7,9)
•(-1,-1)
•(6,-2)
Answer:
C.) (6, -2)
Hope this help!
Answer:c(6,-2)vis your answer
Step-by-step explanation: The guy above me is right
Very confused with this
Answer:
∠ D = 28°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBC is an exterior angle of Δ ABE, thus
∠ EBC = 90° + 34° = 124°
BD bisects ∠ EBC, so
∠ EBD = 124° ÷ 2 = 62° , then
∠ D = 180° - (90 + 62)° = 180° - 152° = 28° ( angle sum of triangle )
Add. -6 + (-73) + 56 + (-33)
a.-168
b.-56
c. 10
d. -44
Answer: -56 or b.
Step-by-step explanation: -6+(-73)=-79 because the negative number means minus.
-79+(positive)56=-23 because a negative number plus a positive number is adding the positive number meaning you subtract but keep the negative sign
-23+(-33)=-56 because the negative number means minus
I don't know how to explain that is just kind of how it works.
But here's something for the future.
Positive+(Negative) is minus
Positive+Positive is plus (duh)
Negative plus negative is minus (or add but theres a negative sign)
Negative-negative=plus (idk why but its meth)
Find the area of ΔDEF to the nearest tenth. ANSWERS: A) 127.8 square units B) 46.5 square units C) 63.9 square units D) 23.3 square units
Answer:
C) 63.9 square units
Step-by-step explanation:
From the above diagram, we can see that the triangle has 2 sides and and angle
The formula for the area of a triangle that has 2 sides and an angle = 1/2absinθ
θ = 70°
a = DE = 8 units
b = EF = 17 units
Area of ΔDEF = 1/2 × 8 × 17 × sin 70°
Area of ΔDEF = 63.9 square units.
Answer:
63.9 square units
Step-by-step explanation:I took the test
Classify the following triangle. Check all that apply.
450
11.3
-8
145
8
A. Obtuse
B. Right
O C. Isosceles
D. Acute
E. Scalene
O F. Equilateral
Answer:
B and C
Step-by-step explanation:
B. You can tell because of the right angle
C.It has two sides that are equal
The triangle is classified below.
B. Right
C. Isosceles
What is an isosceles triangle?In geometry, an isosceles triangle is a triangle that has two aspects of identical duration. Every so often it is specified as having exactly two facets of identical period, and once in a while as having at the least two aspects of equal duration, the latter version as a consequence consisting of the equilateral triangle as a special case.
What is a right triangle?A right triangle or right-angled triangle, or greater officially an orthogonal triangle, previously known as a rectangled triangle, is a triangle wherein one attitude is a right angle or two aspects are perpendicular.
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PLEASE HELP!! Question is below
Answer:
C
Step-by-step explanation:
Complementary means that the angles have a sum of 90° so we can write:
m∠A + m∠B = 90° → 3x + 2 + 8x = 90
11x + 2 = 90
11x = 88
x = 8 which means that m∠B = 8x = 8 * 8 = 64°.
Supplementary means that the angles have a sum of 180° so m∠C = 180° - m∠B = 180° - 64° = 116°.
Answer:
(C) 116°
Step-by-step explanation:
Carol is cross-country skiing. The table shows the distance she traveled after various numbers of minutes. What is the rate of change? Distance Carol Traveled while Cross-Country Skiing Minutes Distance Traveled (miles) 2 StartFraction 1 Over 6 Endfraction 3 StartFraction 17 Over 48 EndFraction 4 StartFraction 13 Over 24 EndFraction 5 StartFraction 35 Over 48 EndFraction 6 StartFraction 11 Over 12 EndFraction StartFraction 1 Over 12 EndFraction StartFraction 1 Over 6 Endfraction StartFraction 3 Over 32 EndFraction StartFraction 3 Over 16 EndFraction
Answer:
3/16 miles/minute
Step-by-step explanation:
A rate of change describes how an output quantity changes relative to the change in the input quantity.
Points given:
Input Output
2 1/6
3 17/48
4 13/24
5 35/48
6 11/12
Here input values describe the time in minutes from 2 to 6 and output values describe the distance in miles from 1/6 to 11/12
Calculating the rate of change using the first two pairs of input-output values
Relative change = change in distance/change in time
(17/48 - 1/6)/(3-2) = (17/48 - 8/48) /1 = 9/48 = 3/16 miles/minute
We will get the same result if we take any other ordered pair of input and output values.
So D is your answer! Hope this helped!
Rate of change is the change in a particular variable, over another variable.
The rate of change is: 3/16 miles per minutes
To calculate the rate of change, we select any two points on the table (see attachment)
[tex](x_1,y_1) = (2,\frac 16)[/tex]
[tex](x_2,y_2) = (3,\frac{17}{48})[/tex]
The rate of change (m) is calculated as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{3-2}[/tex]
[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{1}[/tex]
[tex]m = \frac{17}{48} - \frac{1}{6}[/tex]
Take LCM
[tex]m = \frac{17- 8}{48}[/tex]
[tex]m = \frac{9}{48}[/tex]
Reduce fraction
[tex]m = \frac{3}{16}[/tex]
Hence, the rate of change is: 3/16 miles per minutes
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What is the value of q?
Answer:
14
Step-by-step explanation:
Need Help Please I'm Out Of Time ;(
The mean age of Lincoln's tee-ball team is 5. Suppose one of his 7-year-old teammates quits the team, but a 6-year-old joins the team. Is the mean age of Lincoln's team still 5? Explain your reasoning.
Answer:
No
Step-by-step explanation:
Mean age = (the sum of the ages)/number of people
So, if 7 is replaced with 6 ,the sum will be different so the mean age will not be the same
If there are 7 frankfurters to the pound, how
many pounds of frankfurters are needed for a
picnic to supply 19 pupils with 2 frankfurters
each?
Answer:
6lbs
Step-by-step explanation:
Total # of Frankfurters needed.
[tex]19*2=38[/tex]
Divide the total needed by the amount in a lb, to find out how many lbs we need.
[tex]\frac{38}{7}=5.4[/tex]
Therefore, we need 6 full lbs in order to create at least 38 Frankfurters.
If we only have 5lbs, we can only create 35 Frankfurters.
5.4 pounds of frankfurters are needed for a picnic.
there are 7 frankfurters to the pound
let x pounds of frankfurters needed for a picnic. to supply 19 pupils with 2 frankfurters each.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
since there are 19 pupil and each of has 2 frankfurters.
total frankfurters = 19 x 2
= 38
required pound,
x =38/7
x = 5.4
Thus, 5.4 pounds of frankfurters are needed for a picnic to supply 19 pupils with 2 frankfurters each.
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MULTIPLE CHOICE
What is 14+2(3x +9) - 5 when simplified?
A
20x +4
B
6x+27
С
X+27
Answer:
B: 6x+27
Step-by-step explanation:
14+2(3x+9)-5
14+6x+18-5
14+6x+13
6x+27 is the final answer
The Answer is: B
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon ABCD is dilated by a certain scale factor with the origin as the center of dilation to form the image A'B'CD. The length of AB is
5.6 units, and the length of A' B' is 2.24 units.
The value of the scale factor is
Write your answer as a decimal number to two decimal places.
Answer:
2.5
Step-by-step explanation:
plato
The required value of the scale factor is 2.50 in the given dilation.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
We have been given that a Polygon ABCD is dilated by a certain scale factor with the origin as the center of the dilation to form the image A'B'CD.
The length of AB = 5.6 units, and
The length of A' B' = 2.24 units.
We have to determine the value of the scale factor.
As we know scale factor is the ratio of sides in the original image and the image after dilation.
The scale factor = length of AB/length of A' B'
The scale factor = 5.6/2.24
The scale factor = 2.50
Therefore, the required value of the scale factor is 2.50.
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For every watch that Sarah sells, she earns $4. She gets an additional bonus of $50 for every 25 watches she sells. Last month, Sarah received a total of $506. How many watches did she sell last month?
Answer:
114 watches
Step-by-step explanation:
1. Create an x and y graph. The first x as 25 watches and y as $100 since 25 watches cost $100. Also, in the y column just add $50 in parenthesis next to the y's so you know that each time Sarah gets an additional bonus. Then continue the pattern, with the x column adding by 25. You should stop once you reach 100 watches.
It should look like...
x y
25w $100 ($50)
50w $200 ($50)
75w $300 ($50)
100w $400 ($50)
2. Now you know that 100 watches with additional bonuses cost $450, you create the expression, 450+4x=506 to find out how many watches more need to be sold so the total is $506.
3. Subtract 450 from both sides so the expression simplifies to 4x=56. Then divide 4 on both sides, which gives you 14.
4. Now add the original amount of watches that made 450, which was 100 with 14. This gives you 114 watches.
Last month, Sarah received a total of $506. Sarah sell 114 watches last month.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The first x as 25 watches and y as $100 since 25 watches cost $100.
The given data will be;
x y
25w $100 ($50)
50w $200 ($50)
75w $300 ($50)
100w $400 ($50)
WE know that 100 watches with additional bonuses cost $450,
So the expression wil be, 450 + 4x = 506
Here, the the total is $506.
Subtract 450 from both sides
4x = 56.
Then divide 4 on both sides
x = 14.
Now we will add the original amount of watches that made 450, which was 100 with 14.
100 + 14 = 114 watches.
Thus, Sarah sell 114 watches last month.
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(b) In the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3 exams that are worth 100 points each. A student has received homework scores of 7, 8, 7, 5, and 8 and the first two exam scores are 81 and 80. Assuming that grades are assigned according to the standard scale, where if the grade percentage is 0.9 or higher the student will get an A, and if the grade percentage is between 0.8 and 0.9 the student will get a B, and there are no weights assigned to any of the grades, is it possible for the student to receive an A in the class? What is the minimum score on the third exam that will give an A? What about a B? [8 marks]
(c) Factorize completely [2 marks]
(d) (i) The cost of six hens and one duck at the university poultry farm is GH₵40. While four hens and three ducks cost GH₵36. What is the cost of each type of bird? [13 marks]
(ii) A circular coffee table has a diameter of 5 m. What will it cost to have the top refinished if the company charges GH₵3 per square metre for the refinishing? [take ] [7 marks]
Answer:
Step-by-step explanation:
ii) circumference of the circular coffee table= πd= 3.14× 5=15.7m
Therefore the cost of the refinishing a circular coffee table = 15.7 × GH¢3=GH¢47.10
Tim explained a function in words and Paul wrote an equation. Tim: The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it. Paul: y−1,400=56(x+26)
Whose function has the smaller y-intercept?
A. Tim’s with a y-intercept of $2,700
B. Paul’s with a y-intercept of $2,856
C. Paul’s with a y-intercept of $2,800
D. Tim’s with a y-intercept of $2,780
Answer:
D. Tim’s with a y-intercept of $2,780
Step-by-step explanation:
The function with the smaller y-intercept is Tim’s with a y-intercept of $2,780
The equation of Paul's savings is given as:
y-1400=56(x+26)
Set x to 0, to calculate the y-intercept
y-1400=56(0+26)
Evaluate the sum
y-1400=56(26)
Evaluate the product
y-1400=1456
Add 1400 to both sides
y = 2856
For Tim, we have the following equation
y = 225x + c
Where c represents the y-intercept
After eight months, the bank account has $4,580
So, we have:
4580 = 225*8 + c
Evaluate the product
4580 = 1800 + c
Subtract 1800 from both sides
c = 2780
2780 is less than 2856
Hence, the function with the smaller y-intercept is Tim’s with a y-intercept of $2,780
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Find the domain of the graphed function.
finding domain:
to find the domain, we are finding all of the x values.
example:
say we have the points: (2,5) (4,8) (1,7) (8,10) (13,2)
the domain would be a list of all of the x values of all of the coordinate points. therefore the domain would be:
domain:
{1,2,4,8,13}
conclusion:
since you have not attached the function or a graph, you will have to find the domain on your own (unless you attach one now). hope this helps!