Since 9 is 3², each digit in base nine takes two digits in base 3.
2₉ = 02₃
6₉ = 20₃
7₉ = 21₃
1₉ = 01₃
Putting it together
2671₉ = 2202101₃
a straight line ab passes through the points a(3,2) and b(7,10).find the slope of ab and state that whether it slopes upward from left or downwards from left
In order to find the slope, we may use the formula:
Slope = (y2−y1)/(x2-x1)
Now, let's identify the values. Say, point a is the first point and b is the second. This means that:
x1 = 3
y1 = 2
x2 = 7
y2 = 10
Let's plug in the values:
=(10-2)/(7-3)
=8/4
=2
Now, to determine if the slope is downward or upward, positive slope means upward from left to right while negative slope means downward from left to right.
So since our slope is positive 2, it is upward.
FINAL ANSWER:
Slope = 2
It slopes upward from left to right.
The measures of two complementary angles are complementary angles are in the ratio 1:3. What are the measures of the angles?
The measure of angles are 22.5 degree and 67.5 degree
Solution:
Given that, measures of two complementary angles are in ratio 1 : 3
one angle : another angle = 1 : 3
Let the first complementary angle 1x
Let the another complementary angle be 3x
If the angles are complementary, then their sum is 90 degrees
Therefore,
1x + 3x = 90
4x = 90
x = 22.5
Then, first angle = 1x = 1(22.5) = 22.5
Another angle = 3x = 3(22.5) = 67.5
Thus the measure of angles are 22.5 degree and 67.5 degree
if a man casts a shadow that is 3.8 m long at the time that an 8 m flagpole casts a shadow that is 15 m long, how tall is the man?
Answer:tall
Step-by-step explanation:
tall
The height of a triangle is 7 cm longer than its base. The area of the triangle is 60 cm². What is the base of the triangle? Enter your answer in the box. cm
Base of triangle is: 8 cm
Step-by-step explanation:
Let h be height of triangle and
b be the base
According to given statement "The height of a triangle is 7 cm longer than its base."
[tex]h = b+7[/tex]
Area of triangle = 60 square cm
The formula for the area of triangle is given by:
[tex]A = \frac{1}{2} * b * h\\60 = \frac{1}{2} * b * (b+7)\\120 = b(b+7)\\120 = b^2+7b\\b^2+7b-120 = 0\\b^2+15b-8b-120 = 0\\b(b+15)-8(b+15) = 0\\(b+15)(b-8) = 0\\Now\\b+15 = 0 => b=-15\\b-8 = 0 => b = 8[/tex]
As the length cannot be negative,
Base = 8 cm
Height = b+7 = 8+7 =15 cm
Keywords: Triangle, base
Learn more about area of triangle at:
brainly.com/question/10414011brainly.com/question/10483199#LearnwithBrainly
Mrs. Delgado managed a bookstore. The bookstore buys a book for 20$. She marked up the price by 25% to sell it in her store. What was the price of the book in her store
Price of the book in her store is $ 25
Solution:
Given that, The bookstore buys a book for 20$
She marked up the price by 25% to sell it in her store
To find: Price of book in her store
From given,
Cost price = $ 20
Markup rate = 25 %
Which means, 25 % of $ 20 is markup price
[tex]Markup\ Price = 25 \% \text{ of } 20\\\\Markup\ Price = \frac{25}{100} \times 20\\\\Markup\ Price = 0.25 \times 20\\\\Markup\ Price = 5[/tex]
Thus markup price is $ 5
Price of the book in her store = cost price + markup price
Price of the book in her store = 20 + 5 = 25
Thus Price of the book in her store is $ 25
Cecily made a poster in the shape of a qudrilateral. All the angles and sides of the poster are congruent. WHich of the following names the shape of Celcilys poster?
Answer: Square.
Step-by-step explanation:
First it is important to know the following definitions:
1. A Quadrilateral is defined as a polygon that has four sides and, therefore, four vertices.
2. A Square is a Regular Quadrilateral that has the following properties:
- All its sides have equal length.
- Its opposite sides are parallel.
- The measure of each Internal angle is 90 degrees (which are also called "Right angles").
According to the information given in the exercise, the poster Cecily made has the shape of a Quadrilateral. All the angles of this quadrilateral are congruent (this means that they have equal measure) and all the sides are also congruent (they have the same length).
Therefore, based on the explained before, you can conclude that it is a Square.
Whats the range of 78,89,93,73,99,87,92,89
Answer:
26
Step-by-step explanation:
Range = highest number minus lowest number.
99-73=26.
Answer:
26
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 99−73=26.
Is 120 of 100 larger than 100
[tex]\text{Hey there!}[/tex]
[tex]\text{Is 120\% of 100 larger than 100?}[/tex]
[tex]\boxed{\text{The answer is: YES it is larger than 100}}\checkmark[/tex]
[tex]\text{Reason}\downarrow\\\text{The word "of" means multiply in mathematical terms}\\\text{120\% = 1.2}\\\text{Re-ask yourself: Is 1.2}\times\text{100 larger than 100?}\\\bf{1.2\times100 = 120}\\\text{120 is LARGER/BIGGER than 100}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
6. The following set of numbers indicates the number of natural satellites (moons) of each of the planets in our solar system. Find the
mode.
0, 0, 1, 2, 63, 61, 27, 13
A. 20.9
OB. 13
C. 63
D.O.
The answer is...
Answer:
D.O.
The mode of the given set of numbers is 0.
Explanation:The mode in statistics refers to the number or value that appears most frequently in a set of data. To find the mode of the given set of numbers, we count how many times each number appears:
0 appears twice
1 appears once
2 appears once
63 appears once
61 appears once
27 appears once
13 appears once
Since 0 appears the most frequently, it is the mode of the set. Therefore, the correct answer is Mode: 0.
Learn more about mode here:https://brainly.com/question/35514036
#SPJ2
Repeat the following procedure for the four given numbers.\
Multiply the number by 2. Add 4 to the product. Divide this sum by 2. Subtract 2 from the quotient.
The first number is 2. The result is ??
Rewrite 9(10+11+12) using the distributive property of multiplication over addition
Answer:
90 + 99 + 108
Step-by-step explanation:
The 3 number being added should be multiplied by 9.
10 x 9 = 90.
11 x 9 = 99.
12 x 9 = 108.
Therefore, 90 + 99 + 108.
Answer: 9*10 + 9*11 + 9*12
Step-by-step explanation:
The distributive property of multiplication states that when a number is multiplied by the sum of several numbers, the first number can be distributed to all of those numbers and multiplied by each of them separately.
9(10 + 11 + 12) = 9*10 + 9*11 + 9*12
SpymoreSuppose that y varies directly with x and inversely with z, and y = 20 when x = 15 and z = 3. Write the equation that models the relationship. Then find y when x = 6 and z = 6.
Answer: y = 4x/z , y = 4.
Step-by-step explanation:
Recall ; from Variation,
y ∞ x ----------------------------- 1
y ∞ ¹/z ---------------------------2
Now , combine equation 1 & 2 together, it metamorphosed to
y = kx/z -------------------------- 3
Remember, k is a constant and the value must be find first
K = yz/x
= (20 x 3) /15
= 4
To get the equation that models the relationship, we substitute for k in equation 3
y = 4x/z.
To find the value of y , substitute for the values of k, x and z
y = ( 4 x 6 )/6
= ²⁴/₆
= 4
The radius of a circle is 13cm .a chord is a distance of 5cm from the centre.the length of the chord is ?
Answer:
24 cm
Step-by-step explanation:
The triangle formed by the chord, its bisector, and a radius is a right triangle with hypotenuse 13 and one side of length 5. These are two of the numbers in the 5-12-13 Pythagorean triple, so we know that half the chord has length 12.
The chord is 24 cm long.
_____
In case you haven't memorized some of the more commonly used Pythagorean triples, you can find the half-chord length (h) using the Pythagorean theorem:
13² = 5² + h²
169 -25 = h²
√144 = h = 12
The half-chord length is 12, so the full chord length is 24 centimeters.
A baseball player throws a ball from second base to home plate. How far does the player throw the ball?
Round your number to the nearnest tenth.
Answer: _______ ft
Answer:
The player throws 127.3 ft from second base to home plate.
Step-by-step explanation:
Given:
Distance from home to first base = 90 ft
Distance from first base to second base = 90 ft
We need to find the distance from second base to home.
Solution:
Now we can assume the complete scenario to be formed as a right angled triangle with two sides given and to find the third side.
Now by using Pythagoras theorem which states that;
Square of the hypotenuse side is equal to sum of squares of other two sides.
framing in equation form we get;
distance from second base to home = [tex]\sqrt{90^2+90^2}= 127.27 \ ft[/tex]
Rounding to nearest tent we get;
distance from second base to home = 127.3 ft
Hence The player throws 127.3 ft from second base to home plate.
The distance from second base to home plate is calculated using the Pythagorean theorem because it's the diagonal of the square formed by the bases, which are 90 feet apart. The resulting diagonal (hypotenuse) is approximately 127.3 feet, rounding to the nearest tenth.
Explanation:The question seems to imply that the distance is known in the context of a standard baseball diamond, but unfortunately, it has not provided us with the exact distance from second base to home plate. However, if we refer to the standard dimensions of a baseball field, the distance from home plate to second base is not a straight line but the diagonal of a square formed by the bases. Each base in professional baseball is 90 feet apart, so to find the distance from second base to home plate, which is the hypotenuse of the square (assuming perfect square dimensions), we would use the Pythagorean theorem.
Using the theorem a² + b² = c², where 'a' and 'b' are the sides of the square (90 feet each) and 'c' is the hypotenuse (distance from second base to home plate), we can calculate:
a² = b² = 90²
Therefore,
c² = 90² + 90² = 8100 + 8100 = 16200
Then, solving for 'c' gives us:
c = √16200 ≈ 127.3 feet
So the baseball player throws the ball approximately 127.3 feet from second base to home plate, rounding to the nearest tenth.
A vial of medicine contain 60 ounces of medicine. If a dose consists of 3 ounces, how many doses the vial contain?
Answer:
The answer is 20 doses
You need to fill a water jug with 5.85 L. You filled it with 2.45 L and then added 2.84 L more. How much more water do you need
The amount of water already in the jug is 5.29 L. To fill the jug up to 5.85 L, 0.56 L more water is needed.
Explanation:This is a simple arithmetic problem involving addition and subtraction. Given that you need to fill a jug with 5.85 L of water, you have already filled it with 2.45 L and then added 2.84 L more. The total amount of water in the jug now can be found by adding these two amounts together, giving 2.45 L + 2.84 L = 5.29 L. To find out how much more water you need, subtract this amount from the total capacity of the jug: 5.85 L - 5.29 L = 0.56 L. Therefore, you need 0.56 L more water to fill the jug.
Learn more about Addition and Subtractionhttps://brainly.com/question/28008319?referrer=searchResults
#SPJ2
Amanda uses 9 L of water to water 24 flower pots. She is wondering how many liters of water would it take to water 40 flower pots. She assumes she’ll use the same amount of water in each pot. How many liters of water doesTake to water 40 flower pot?
Answer:
15 L of water
Step-by-step explanation:
24 pots -------------> require 9L of water
1 pot -----------------> requires (9/24) L of water
40 pots -------------> (9/24) x 40 = 15 L of water
A four-quart container holds 128 ounces of water. How much water does a one-quart container hold?
Answer:
32 oz
Step-by-step explanation:
4 quart -----------> hold 128 oz
1 quart -------------> holds 128 ÷ 4 oz = 32 oz
Answer:
It holds 32 oz of water
Step-by-step explanation:
On January 1, 2006, you have $100 in a savings account that earns interest at a rate of 1% per month. On the last day of every month you deposit $75 in the account, beginning in January.
Write a recursive rule for the account balance at the beginning of the nth month.
Answer:
The recursive rule for account balance at the beginning of the nth month will be given by [tex]b_{1} = 100[/tex] and [tex]b_{n + 1} = b_{n} + 76[/tex] where, n = 1, 2, 3, .....
Step-by-step explanation:
On January 1, 2006, I have $100 in a savings account that earns interest at a rate of 1% per month. On the last day of every month, I deposit $75 in the account, beginning in January.
So, at the end of the month of January, the added amount to the account is $75 and 1% of $100 i.e. 1$.
Then, total $(75 + 1) = $76 is being added at the end of each month.
So, the recursive rule for account balance at the beginning of the nth month will be given by [tex]b_{1} = 100[/tex] and [tex]b_{n + 1} = b_{n} + 76[/tex] where, n = 1, 2, 3, ..... (Answer)
identify the slope
Which operation can you use to solve the equation 2/9x = 12?
a.Subtract 12 from each side
b.Add -2/9 to each side
c.Divide both sides by 9/2
d.Multiply both sides by 9/2
Answer:
C
Step-by-step explanation:
Do the oppsite to both sides, which is divide.
If 11 equals x then does cat equal dog
Answer:
No
Step-by-step explanation:
Alfred does chores to earn money in the summer. The table
shows the amount he earns per chore. Alfred weeded the
garden 6 times over the summer. Write and solve a division
equation to find how much he earned weeding the garden.
The correct answer is (C) $48. Hence the correct option is c.
1. Identify the relevant information:
From the table, we know Alfred earns $8 per time he weeds the garden.
He weeded the garden 6 times.
2. Calculate his total earnings from weeding:
To find the total amount Alfred earned, we multiply the amount he earns per weeding session by the number of times he weeded:
Total earnings = Number of times weeded * Earnings per weeding
Total earnings = 6 times * $8/time = $48
Therefore, Alfred earned $48 from weeding the garden.
Hence the correct option is c.
Complete question:
Alfred does chores to earn money in the summer. The table shows the amount he earns per chore.
Chore Amount Earned ($)
mow lawn $10
wash car $5
weed garden $8
Suppose Alfred weeded the garden 6 times in the summer. How much did he earn weeding?
(A) $30
(B) $60
(C ) $48
(D) $75
The answer is option B - $48. Alfred earned $48 from weeding the garden 6 times, as each weeding earned him $8 and $8 multiplied by 6 gives $48.
The question involves a basic arithmetic calculation to determine how much money Alfred earned for weeding the garden multiple times. We need to multiply the amount Alfred earns per instance of weeding by the number of times he performed the task.
Given that Alfred earns $8 for weeding the garden once and he weeded the garden 6 times over the summer, the total earning from weeding can be calculated as:
Amount Earned Weeding = Earned per Weeding × Number of Weedings
Amount Earned Weeding = $8 × 6 = $48
Therefore, Alfred earned $48 from weeding the garden 6 times in the summer.
The question is:
Alfred does chores to earn money in the summer. The table shows the amount he earns per chore.
Chore Amount Earned ($)
mow lawn $10
wash car $5
weed garden $8
Suppose Alfred weeded the garden 6 times in the summer. How much did he earn weeding?
(A) $30
(B) $60
(C) $48
(D) $75
What is a possible equation for a function with an x-intercept of (-5,0) and a y-intercept of (0,3)?
Answer:
The equation of a straight line is
-3 x+5 y=15
Step-by-step explanation:
Given x - intercept of (-5,0) and y- intercept is (0,3)
here (-5,0 ) point lie on x- axis and (0,3) this point lie on y- axis
we know that the x- intercept 'a' and y- intercept 'b' formula is
[tex]\frac{x}{a} +\frac{y}{b} = 1[/tex]
so given x - intercept a =-5 and y- intercept is b= 3
now the straight line equation is [tex]\frac{x}{-5} +\frac{y}{3} =1[/tex]
now simplify [tex]\frac{-3 x+5 y}{15} =1[/tex]
[tex]-3 x+5 y=15[/tex]
What is the factored form of the expression 35xy + 25x? 5(7xy + 5x) 5x(7y + 5) 25x(10y + 1) 10x(25y + 15)
Answer:
5(7xy + 5x)
Step-by-step explanation:
35xy+25x
divide both sides by 5
we have 5(7xy+5x)
Answer:5x(7y+5)
Step-by-step explanation:
This was the correct answer on my test
help me asap pleaseeee
Answer:
see below
Step-by-step explanation:
y=kx
15=1.50(10)
1.50 is the cost of every coffe
10 is the amount of coffes u can get with the 15 dollars
15 is the total money u have
(hopes this helps)
Answer:
y= -1.5x+15
Step-by-step explanation:
y=mx+b
This is the formula to find the equation. M is the slope (rise over run), and b is the y-intercept. Hope this helps.
6 over 7 divided by 3???
Answer:
2/7
Step-by-step explanation:
Will mark brainliest+ 10 points
A six pack of soda costs 3.48 how much does each bottle of soda cost
Final answer:
To determine the cost of each bottle in a $3.48 six pack of soda, divide the total cost by the number of bottles, which results in each bottle costing $0.58.
Explanation:
To find out how much each bottle of soda costs when a six pack of soda costs $3.48, we need to divide the total cost by the number of bottles in a pack. Since there are six bottles in a six pack, we take the total cost of $3.48 and divide it by 6.
The calculation will look like this:
Cost per bottle = Total cost of six pack ÷ Number of bottles
Cost per bottle = $3.48 ÷ 6
Cost per bottle = $0.58
Therefore, each bottle of soda costs $0.58.
You randomly draw a marble from a bag of marbles that contains 8 blue marbles, 5 green marbles, and 8 red marbles.
Answer:
[tex]0.76[/tex]
Step-by-step explanation:
Probability = Number of favorable outcomes / Number of possible outcomes
There are [tex]16[/tex] favorable outcomes ( the [tex]8+8=16[/tex] marables that are either blue or red).
There are [tex]21[/tex] possible outcomes (the [tex]8+5+8=21[/tex] total marables).
P (draw a blue or red marable) [tex]= \frac{16}{21}[/tex] ≈ [tex]0.76[/tex]