Answer:
..2
Step-by-step explanation:
The number of different dog families that you can create will be 3060.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A canine sanctuary is offering 18 unique canines, yet you have space for just 4 of them.
Then the number of different dog families that you can create is given as,
¹⁸C₄ = (18!) / [(18 - 4)! x 4!]
¹⁸C₄ = (18 x 17 x 16 x 15 x 14!) / (14! x 4 x 3 x 2 x 1)
¹⁸C₄ = 6 x 17 x 2 x 15
¹⁸C₄ = 3060
The number of different dog families that you can create will be 3060.
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7 1/2 divided by 2 5/8 in simplest form
Answer:
[tex]2\frac{6}{7}[/tex]
Step-by-step explanation:
First you have to convert the mixed numbers to an improper fraction which first let's do the top so that would be: [tex]\frac{\frac{15}{2}}{2\frac{5}{8}}[/tex]
Next, lets do the bottom of that so that would become: [tex]\frac{\frac{15}{2}}{\frac{21}{8}}[/tex]
After that you have to apply the fraction rule [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex] so that would be: [tex]\frac{15\cdot \:8}{2\cdot \:21}[/tex]
Towards the end, you have to cancel out that equation so then it becomes: [tex]\frac{20}{7}[/tex]
Finally, you convert the improper fractions to mixed numbers so that is now: [tex]2\frac{6}{7}[/tex]
Have a great day!
After divide, the value in simplest form is, 20/7.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
⇒ 7 1/2 divided by 2 5/8
Now, Divide the numbers as;
⇒ 7 1/2 divided by 2 5/8
⇒ 15/2 ÷ 21/8
⇒ 15/2 × 8 / 21
⇒ 15×8 / 2×21
⇒ 5×4/7
⇒ 20 / 7
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Write the equation for the axis of symmetry for the
follow absolute value graph:
Answer:
The equation for the axis of symmetry is x=3
Step-by-step explanation:
Because the vertex is (-2,3) then the axis of symmetry must pass that point.
Slove the followings.
1. Use your calculator to work out the weight of rubbish in each category.
2. A household produces 1.2 t of rubbish in a year. How many adults live in the house?
3. a. How much rubbish would an adult produce in a year if he recycled the glass, paper, and card?
b. What if he also had a compost heap at foot of his garden for vegetable and decomposable material?
2. The number of adults who live in the house is 3 (1,200/400).
3.a. If an adult recycled the glass, paper, and card that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.
b. If the adult, in addition, had a composite for vegetable and decomposable material, he will generate 152 kg (400 kg x (1 - 62%).
Data and Calculations:
1 ton = 1,000 kg
Weight of rubbish produced by an adult per year = 400 kg
Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)
Percentage of Vegetable and decomposable material = 20%
Percentage of glass, paper, and card = 42% (33% + 9%)
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Which of the following fractions can be represented by a terminating decimal?
OA) 8/9
OB)13/8
OC)4/3
OD)6/11
Answer:
B) 13/8
Step-by-step explanation:
First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point
Let's go through our possible answers with trial and error:
A) 8/9
8/9 = 0.888888888888...9 (Incorrect)
B) 13/8
13/8 = 1.625 (Correct)
C) 4/3
4/3 = 1.3333333333...4 (Incorrect)
D) 6/11
6/11 = 0.545454545454...54 (Incorrect
13/8 is our answer because in decimal form it is a terminating decimal.
Simplify |x| - |-x|.
Answer:
0
Step-by-step explanation:
Two cases: if [tex]x\ge0[/tex]
[tex]|x| - |-x| = x - x= 0[/tex]
Instead if [tex]x<0[/tex]
[tex]|x| -|-x| = -x -(-x)=-x+x=0[/tex]
Alternatively you can try to graph both [tex]f(x) = |x|; g(x)=|-x|[/tex] and checking the vertical distance between the two graphs
Which table of values represents possible solutions to
the equation y = 0.7x - 4.3?
х
49
у
30
X y
49 40
19 19
-11-12
-31-16
19 19
-11-12
-31 -26
B
Х
у
30
49
19 9
-11-12
-31 -26
Х
у
49 40
19 19
-11 -2.
-31 -16
D
Step-by-step explanation:
it will be c as shown in the photo
Find the slope of the line that passes through the given points. (4, - 3) and (9. - 7) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The slope is (Type an integer or a simplified fraction.) O B. The slope is undefined.
Answer:
-4/5
Step-by-step explanation:
Answer: A. -4/5
Step-by-step explanation:
Slope Formula: y2 - y1 / x2 - x1
-7 - (-3) = -4
9 - 4 = 5
slope = -4/5
Correct me if I am incorrect.
ершрфшгцр
мкфуерцнокеупауйвЫЫМ ВНОРЕФУфцвыА ЕЬГАЕ7ГАТАСО ПНМСВЧСЧМ
Answer:
Step-by-step explanation:
I dont know
An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?
Does 28/4 have a remainder
Remainder=0
Quotient=7
Thanks!!
HELP!!
Name the property below
(2+7) +3= 2+(7+3)
A. associative
B. Commutative
Writing
Tammy bought some books. She spent a total of $45 after a discount of S6 off of her total purchase. Each book cost $3. How many books did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
X
5
o 16+ = 0
(b) Solve the equation in part (a) to find the number of books.
b = 0
Answer:
b=17
Step-by-step explanation:
b=(45+6)/3
b=51/3
b=17
she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.
find the mean of 100
Answer:
100.
Step-by-step explanation:
100 + 0 = 100
100 ÷ 1 = 100
I been on this for days and no one can give me a right answer
Answer:
2x²=6x-5= x=3+i/2
-x²-10x=34= x = -(5+3i)
Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers
HELPME IM IN MATH AND NEED HELPP
Answer:
9
Step-by-step explanation:
A bag contains three green marbels and eight white marbels. suppose in marble is randomly selected. what are the odds in favor of picking a white marble?
A. 8 to 3
B. 8 to 11
C. 3 to 8
D. 3 to 11
Answer:
A. 8 to 3
Step-by-step explanation:
since its in favor, the amnt of white marbles goes first.
Can someone help I will mark u brilliant
Answer:
A probability cannot be more than 100%
Tessa feeds her dog,Roscoe 3 3/4 cups of dog food per day.if she buys a bag of food that contains 165 cups, how many days will the bag last?
Okie help help math math math math
Answer: 33
Step-by-step explanation: In the problem, you are given the figure with the following:
2x+3 and 3x+12
Method: Lets set this into an equation. Remember that straight lines add up to 180°.
2x+3+3x+12=180° Combine like terms.
5x+15=180°
5x=165°
x=33°
You can always plug in 33° in the expression that was set to make sure it does give you 180°.
Hope this helps.
Answer:
33
Step-by-step explanation:
Simplify.
57.8 – 4.07
Answer:
53.73
Step-by-step explanation:
An online survey asked a sample of high school students their favorite type of music, and the results were tabulated above. Find the probability that a person chosen at random did not choose pop music, given that the student is a sophomore or a junior.
Answer:
87/103
Step-by-step explanation:
what is c3 - 1 when c = 4
How ur wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?
The amount Howie need to pay back at the end of one year, including the interest is $26,000
Given:
Interest rate = 4%
Cost of car = $25,000
Time = 1 year
Amount of interest = Principal × Rate × Time
= 25,000 × 4% × 1
= 25,000 × 0.04 × 1
= $1,000
Amount to be paid = Amount of interest + Cost of car
= 1,000 + 25,000
= $26,000
Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000
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The amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.
What is simple interest?Simple interest is a finance charge that does not compound. It is calculated on the principal portion of a loan only.
The formula for computing simple interest is Principal x APR x Number of years.
Data and Calculations:Car loan = $25,000
Simple interest rate = 4%
Period of loan = 1 year
Principal + Interest for 1 year = $26,000 ($25,000 x 4% x 1).
Thus, the amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.
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PLZ answer correctly! Brainliest!
Answer:
[tex]A=\left(-1\dfrac{5}{5}\right)=(-2)\\\\B=\left(-\dfrac{4}{5}\right)\\\\C=\left(\dfrac{3}{5}\right)[/tex]
Step-by-step explanation:
Look at the picture.
[tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex]
Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1,-2)
the slope is 6/-5
subtracting the y values gives you -2-(-8)=6
subtracting the x values gives you -1-4= -5
Given:-
Two points (4,-8) and (-1,-2) .To find :-
The slope of the line through these points .Solution :-
As we know that the slope is ,
[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]
Substitute the values ,
[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)
[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1
[tex]\longrightarrow[/tex] Slope = 6/5
Hence the slope of the line is 6/5 .
HELP PLEASE!! WILL GIVE BRAINLIEST TO CORRECT QNSWER.
Use the quadratic formula to find the solution to the quadratic equation given below.
x²-x+¼=0
Find the slope of the line that goes through the points (-4,4) and (4,6)
Answer:
1/4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-4)/(4-(-4))
m=2/(4+4)
m=2/8
m=1/4
Which expression is equivalent to 5(x + 7)?
Answer:
5x+35
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
The sum of a number times 7 and 15 is at least -19
Answer:
x(7+15) [tex]\leq[/tex] -19
Step-by-step explanation:
Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 24 miles, how much will her mother donate?
Answer:
4 dollars and 80 cents
Step-by-step explanation:
24 times 20 is 480 but its money so u would say $4.80.
