=================================================
Explanation:
If either a or b (or both) are multiples of 3, then so is a*b
Consider 'a' being a multiple of 3. This means a = 3k for some integer k. Multiply both sides by b to get ab = 3k*b, and we see that 3 is a factor of ab, making ab to be a multiple of 3.
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There are six sides to the dice and those sides are {1,2,3,4,5,6} of which only {3,6} are multiples of 3.
If we want both dice to be multiples of 3, then the possible outcomes are
(3,3)(3,6)(6,3)(6,6)There are four outcomes. This is out of 6*6 = 36 total outcomes overall.
Dividing the values gives 4/36 = 1/9 as the probability we want
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Side note: for a roll like (a,b) = (6,3) we see that a*b = 6*3 = 18, which is a multiple of 3. The same happens with the other three (a,b) pairings mentioned above.
Can y’all help me I don’t wanna fail math❣️???!!!
Answer:
1/3
Step-by-step explanation:
3 pears / 9 apples
simplified: 3/3 / 9/9
= 1/3
Use the graph of the function. Determine Over what interval(s) the function is positive or negative.
Answer:
I can't see the numbers well, but the graph is decreasing from (-inf, minimum) and increasing from (minimum, inf). The minimum is the vertex. Hope this helps!
Step-by-step explanation:
A triangle has sides of lengths 9, 7, and 12. Is it a right triangle? Explain.
Answer:
No, [tex] 9^2 +7^2 \neq 12^2 [/tex]
Step-by-step explanation:
[tex] 9^2 +7^2 = 81+ 49 =130...(1)[/tex]
[tex] 12^2 = 144...(2)[/tex]
From equations (1) & (2) it is obvious that:
[tex] 9^2 +7^2 \neq 12^2 [/tex]
Thus, the given is not a right triangle.
Two lawn care companies are competing for a landscaping contract. Company A charges a $250 monthly consulting fee plus $10 per square foot, whereas Company B charges a $90 landscaping fee plus $12 per square foot. When will the two companies charge the same amount?
Let x be the no.of square feet for landscaping
Company A
Monthly consulting fee = $250
Cost of landscaping of 1 sq.feet = $10
Cost of landscaping of x sq.feet = $10x
So, Total charge by company A = 250+10x ---1
Company B
Monthly consulting fee = $90
Cost of landscaping of 1 sq.feet = $12
Cost of landscaping of x sq.feet = $12x
So, Total charge by company B = 90+12x ---2
Now we are supposed to find how many square feet of landscaping will the two companies charge the same amount
So, Equate 1 and 2
[tex]250+10x=90+12x\\160=2x\\80=x[/tex]
So, the two companies charge the same amount for 80 sq.feet
Total charge by company A for 80 sq.feet = 250+10(80)= $1050
Total charge by company B for 80 sq.feet = 90+12(90)=$1170
1 square root x times 4 square root x
Answer:
4√x
Step-by-step explanation:
4√x
Calculate the curved surface area of a cylindrical drum whose dimensions are diameter 5cm, height 30cm
Answer:
150[tex]cm^{2}[/tex]
Step-by-step explanation:
Curved surface area of a cylinder = 2[tex]\pi rh[/tex]
Radius=[tex]\frac{5}{2}\\[/tex]cm
Height=[tex]30[/tex]cm
Curved surface area of a cylinder=[tex]2\pi rh[/tex]
= 2 x [tex]\frac{5}{2}[/tex] x 30
= 150 [tex]cm^{2}[/tex]
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.) 5,280 feet = 1 mile 27 feet per second 59 feet per second 132 feet per second 288 feet per second
Answer:
59 ft/second
Step-by-step explanation:
40 miles / hour
Multiply by the conversion factors
40 miles 5280 ft 1 hour
------------ * -------------- * -----------
hour 1 mile 3600 seconds
Canceling the units
40 * 5280 ft/ 3600 seconds
58.6666666 ft/ second
To the nearest whole number
59 ft/second
Answer:
[tex]\Large \boxed{\mathrm{59 \ feet \ per \ second}}[/tex]
Step-by-step explanation:
40 miles per hour
1 mile = 5280 feet
40 miles = 5280 × 40 = 211200 feet
1 hour = 3600 seconds
[tex]\displaystyle \sf \frac{211200 \ ft}{3600 \ s}[/tex]= 58.666666666... ft/s
Write the equation of the line that is parallel to the line y=−74x−2
y
=
−
7
4
x
−
2
through the point (4,-2).
Answer:
The answer is
y = 74x - 298Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line parallel to the equation above we must first find the slope of the above equation
y = - 74x - 2
Comparing with the above formula
Slope = - 74
Since the lines are parallel their slope are also the same
Slope of parallel line = - 74
Equation of the line using point (4 , -2) and slope - 74 is
y + 2 = 74( x - 4)
y + 2 = 74x - 296
y = 74x - 296 - 2
We have the final answer as
y = 74x - 298Hope this helps you
Answer:
y= -7/4x+5
Step-by-step explanation:
I got it correct on founders edtell
In the triangle below y=? Round to the nearest tenth
Answer:
51.3°
Step-by-step explanation:
Step 1: Use tan to find angle y
o = 10
a = 8
[tex]tan()=\frac{o}{a} \\tan(y)=\frac{10}{8} \\y = tan^{-1} (\frac{10}{8})\\y = 51.3[/tex]
Therefore angle "y" is 51.3° rounded to the nearest tenth
The shoe size for all the pairs of shoes in a person closet are recorded. what is the mean
Answer:
The mean size of the shoe is 7.
Step-by-step explanation:
We are given the shoe size for all the pairs of shoes in a person closet below;
X = 7, 7, 7, 7, 7, 7, 7, 7, 7, 7.
And we have to find the mean of the data.
Let X = shoe size for all the pairs of shoes
As we know that the mean of any discrete data is given by the following formula;
Mean, [tex]\bar X[/tex] = [tex]\frac{\text{Sum of all the observations}}{\text{Total number of observations}}[/tex]
Here, the number of observations = 10
= [tex]\frac{7+7+7+7+7+7+7+7+7+7}{10}[/tex]
= [tex]\frac{70}{10}[/tex] = 7
Hence, the mean size of the shoe is 7.
(20 PTS) Can someone please tell me how did 1/2 became 3/6?
I can someone help me Solve for x.
Answer:
9
Step-by-step explanation:
They are similar triangles. Since 6 is 1.5 times the four, x has to be 1.5 times the 6.
6*1.5=9
What is the solution to 5(2x−2)=30? solve for x
Answer:
x=4
Step-by-step explanation:
5(2x-2)=30
divide both sides
2x-2=6
move the constant to the right
2x=6-2
caculate
2x=8
divide both sides
x=4
A closed cylindrical tank of radius 1.50m and height 300cm, is made from a metal sheet. How much sheet is required?
Answer: 13.5π≈42.41
Step-by-step explanation:
Basically it is asking for the circumference of this cylinder.
#1 Find the circumference of the circle base
Formula to use: 2πr
2πr=2π(1.5)=3π
---------------------------
#2 Find the area of the circle base
Formula to use: πr²
πr²=π(1.5)²=2.25π
--------------------------
#3 Find the area of body of the cylinder
Formula to use: lw
300cm=3m
l (length)= 3π (since the body of the cylinder the basing on the circumference of the circle base)
w (width)= 3
lw=3π×3m=9π
----------------------------
#4 Add all of them together
There are 2 base and one body
2.25π×2+9π=13.5π
How many department stores have fewer than 60 pairs of boots?
Answer:
The answer is below
Step-by-step explanation:
The question is not correct, the correct question is:
The regional manager of a chain of department stores created the following stem-and-leaf plot showing the number of pairs of boots at each of the stores:
I 0 I
I 1 I 7 8
I 2 I 0 5 8
I 3 I 4 4 7 8
I 4 I 0
I 5 I
I 6 I
How many department stores have more than 60 pairs of boots
Answer:
The stem and leaf plot is a table which is used to represent a value with the first and other digit as the stem while the last digit is the leaf.
From the table attached, the first column is the stem and the remaining column are the leafs. Therefore from the table, below are the pairs of boots in different stores:
17, 18, 20, 25, 28, 34, 34, 37, 38 and 40.
All the store have fewer than 60 boots. This means that the number of stores with more than 60 pairs of boots is 0
If A = ½ bh, what is the value of A if b = 5 and h = 8? Please help!!!!
Answer: 20
Work: A = 1/2 bh
A = 1/2 (5(8))
A = 1/2 (40)
a = 20
plz mark brainliest
Answer:
A = 20Step-by-step explanation:
[tex]A = \frac{1}{2} bh [/tex]
when
b = 5
h = 8
Substitute the values of b and h into the above formula
That's
[tex]A = \frac{1}{2} (8)(5) \\ A = \frac{1}{2} \times 40 [/tex]
We have the final answer as
A = 20Hope this helps you
Leah rides her bike to school a total of 80.75 miles per week. The miles (m) she rides in one day can be calculated using the equation below.
5m=80.75
Answer: 16.15
Step-by-step explanation:
Divide by 5 on both sides
m=16.15
The table represents the observed number of leaves y on x branches of a tree. Calculate the rate of change between 3 and 4 branches.
x y
2 42
3 75
4 100
5 119
What is the rate of change?
Answer:
25Step-by-step explanation:
The rate of change of number of tree y on x branches of a tree is expressed as shown;
m = Δy/Δx where;
m is the rate of change
Δy is the change in number of leaves between 3 and 4
Δx is change in number of branches between 3 and 4
m = Δy/Δx = y₂-y₁/x₂-x₁
From table between 3 and 4, y₂ = 100, y₁ = 75, x₂ = 4, x₁ = 3
m = 100-75/4-3
m = 25/1
m = 25
Hence the rate of change between 3 and 4 branches is 25
What is the height of Jack's house, in feet, if the house casts a shadow 56 feet long at the same time a 21-foot tree casts a shadow that is 24 feet long? Express your answer to the nearest whole number.
Answer:
49 feet
Step-by-step explanation:
We solve for this using proportion
Height of Jack's house = ?? = Y
Length of the shadow of Jack's house = 56 feet
Height of a tree = 21 feet
Length of the shadow of the tree = 24 feet
Height of Jack's house/ Shadow of Jack's house = Height of a tree/ Shadow of the tree
Y/56 = 21/24
Cross Multiply
24 × Y = 56 × 21
Y = 56 × 21/24
Y = 1176/24
Y = 49 feet
Therefore, the height of Jack's house is 49 feet
Which pairs of angles in the figure below are vertical angles?
Check all that applies
Answer:
A and C
Step-by-step explanation:
Name the set(s) of numbers to which -1/3 belongs
Answer:
Rational numbersReal numbersStep-by-step explanation:
The number -1/3 belongs to the set of rational numbers.
A number -1/3 is given in the question.
We have to find out that this number belongs to which set of numbers.
What is a rational number ?
A rational number is one which can be expressed as fraction p/q of two integers where p is a numerator and q is a non-zero denominator i.e., q ≠ 0.
Let's check -1/3 belongs to which set,
We know that ,
Natural numbers are the counting numbers , so -1/3 can't be a natural number.
Also ;
-1/3 can't be a irrational number because as this number is a finite number.
Let's check if it is a rational number ;
We know that rational number can be expressed in form of p/q.
Hence ;
[tex]\frac{p}{q}[/tex] = [tex]\frac{-1}{3}[/tex] , where ; p = -1 and q = 3 i.e., q ≠0
Thus , the number -1/3 belongs to the set of rational numbers.
To learn more about set click here ;
https://brainly.com/question/18114925
#SPJ2
Point A is located at (-3, 2) and point B is located at (1, 8). What is the x coordinate of the midpoint?
Answer: Midpoint (xM, yM) = (4, 5)
Evaluate the expression when a = 4 and y=-4.
-a + 6y
Answer:
-28
Step-by-step explanation:
insert the values
-a + 6y
-(4) + 6(-4)
-4 +(-24)
-4-24
-28
m + 5 = 5
+ 5 can you guys help
Answer:
the answer would be 0 because 0+5=5
two out of four snowmen built by young children have carrots for noses. what percentage or snowmen have carrots for noses??
A) 20%
B)40%
C) 50%
D) 100%
Juan owes his cousin, Benito, $10.00. Benito is tired of waiting for Juan to pay him back. To try and get Juan to pay up more quickly, Benito has decided to add $1.00 per day to the amount Juan owes him. Juan also owes his brother, Tavon, $15.00. Tavon liked Benito's idea of charging additional money, but because he is Juan's brother, decided he would only charge $.50 per day. Write and solve an equation that shows the number of days it will take for Juan to owe Benito and Tavon the same amount of money.
Answer:
wat???
Step-by-step explanation:
Answer:
Hope this will help you :)
Step-by-step explanation:
40 POINTS
Which equation represents the graph below?
10-
H>
10 х
-10
-5
5
in
-10
N
x + 2y = 6
-2x + y = 1
-2x + 4y = 8
2x + 4y = 8
Answer:
I can't understand how you wrote the question try writing it again so I can help
there are twelve months in every year. The number of years is x. The number of months is y.
Answer:
12x = y
Step-by-step explanation:
12 months per x
12x
this means
12x = y
Hope that helped!!! k
Sahara bought 100 eggs for rs 1280. 15 of them were rotten for what rate should she sell it to get 10% profit.
Answer:
≈ Rs. 16.57
Step-by-step explanation:
Given:
Number of eggs bought = 100Cost price = Rs. 1280Profit required = 10%Selling price = ?SolutionMoney should be made to get 10% profit:
1280+10% = 1280*1.1= Rs. 1408Eggs left for sale:
100 - 15 = 85Selling price:
1408/85 ≈ Rs. 16.57 per eggQuestion 3
1 pts
2 and -2 are 4 units apart on the number line.
True
False