Answer:
2
Step-by-step explanation:
2 can go into 12,2, and 84
To obtain the greatest common divisor of (g.c.d) we must do it in simultaneous decomposition.
This method consists of extracting the common and uncommon prime factors, then
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{12 \ \ \ 2 \ \ \ 84}\\ \ 6 \ \ \ 1 \ \ \ 42 \end{matrix}\right|\begin{matrix} 2\\ \: \end{matrix} \end{gathered}$}[/tex]
As we can see the number 2, is the only common prime number.
The greatest common factor of 12, 2, and 84 is 2.
Stacy uses 4 cups of milk to make a batch of rice pudding. How many batches of rice pudding
can she make with 3 gallons of milk?
Hint: There are 16 cups in 1 gallon.
Answer:
12
Step-by-step explanation:
There are
16 cups = 1 gallon
3 gallons = 48 cups
48 divided by 4 = 12 batches of rice pudding
Answer
12
Step-by-step explanation:
4 cup of milk = 1 batch of rice pudding
1 gallon of milk= 16 cups of milk
3 gallon of milk = 3x 16
=48 answer
then, 48 cup of milk = 48 ÷ 4
= 12 answer
Hence, stacy can make 12 batch of pudding with 3 gallon of milk.
a line contains the point (2,3) and has a slope of 1/2 What is the point-slope form of the equation for the line
The point-slope form of the equation for the line is y - 3 =1/2(x - 2)
Point-slope formFrom the question, we are to determine the point-slope form of the equation for the line
The point-slope form of the equation of a line is given by
y - y₁ = m(x - x₁)
Where (x₁, y₁) is a point on the line
and m is the slope of the line
From the given information,
Slope, m = 1/2
and we have the point (2,3)
∴ The point-slope form of the equation for the line is
y - 3 =1/2(x - 2)
Hence, the point-slope form of the equation for the line is y - 3 =1/2(x - 2)
Learn more on Point-slope form of the equation of a line here: https://brainly.com/question/26704430
#SPJ1
Mo buys a house for £120 000
He sells the house for £150 000
Work out the percentage profit that Mo makes.
Answer:
25%Step-by-step explanation:
The profit = 150 000 - 120 000 = 30 000
………………………………………………………
The profit percentage is :
[tex]=\frac{30000}{120000} \times 100=0.25 \times 100 = 25 \%[/tex]
Part B
What is the area of the target that earns at least 30 points on a throw?
Select the correct from the drop-down menu.
the area is ____ square inches.
a) 16
b) 49
c) 121
d) 144
The area of the target which earns 30 points on a throw.
Solution:[tex]\huge\boxed{Formula: a= \pi{r}^{2}}[/tex]
[tex]4+3[/tex]
[tex]=7[/tex]
Let's solve
We have to find the answer in terms of π so, we'll just have to multiply the radius by itself.
[tex]a={7}^{2}[/tex]
[tex]\large\boxed{a= 49 \pi\: {in}^{2}}[/tex]
Hence, the area of the target which earns 30 points on a throw is 49π square inches.
Answer= Option B
a machine makes 1 gadgets every 20 seconds .how many gadgets does it makes in 5 minutes
Answer:
it makes 15 gadgets in 5 minutes
Step-by-step explanation:
you take thw 1 gadget every 20 seconds there are 60 seconds in 1 minutes so 60 ÷ 20 is 3 so it makes 3 gadgets every minute so 3 x 5 is 15 so it makes 15 gadgets every 5 mins
Answer:
15 gadgets
Step-by-step explanation:
look above
hope ot helps
H
Which line is parallel to line r?
Oline p
O line q
O line s
Oline t
Answer:
Line s
Step-by-step explanation:
They are the same distance apart, so this makes them parallel.
By the definition of parallel lines, the line r is parallel to line s.
What is Coordinate System?Arrangement of reference lines or curves used to identify the location of points in space is called as Coordinate System.
We have to find the line which is parallel to line r.
Parallel lines are the lines that do not intersect or meet each other at any point in a plane.
They are always parallel and are at equidistant from each other.
Parallel lines are non-intersecting lines.
We can also say Parallel lines meet at infinity.
As we observe the figure line s is parallel to line r and it is equidistant from r.
Hence, line s is parallel to line r.
To learn more on Coordinate system click:
https://brainly.com/question/4726772
#SPJ5
A group of 40 students from your school is part of the audience for a TV game show. The total number of people in the audience is 120 . What is the theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant spots?
Using the hypergeometric distribution, it is found that there is a 0.1363 = 13.63% theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant spots.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.The values of the parameters are given as follows:
N = 130, k = 40, n = 10.
The theoretical probability of 5 students from your school being selected is P(X = 5), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 5) = h(5,120,10,40) = \frac{C_{40,5}C_{80,5}}{C_{120,10}} = 0.1363[/tex]
0.1363 = 13.63% theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant spots.
More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394
#SPJ1
If the length of a rectangle is 6 more than twice the width and the total perimeter is 84cm, what is the rectangle's length?
Step-by-step explanation:
length = 2×width + 6
84 = 2×length + 2×width
now using the first in the second equation :
84 = 2×(2×width + 6) + 2×width = 4×width + 12 + 2×width
84 = 6×width + 12
72 = 6×width
width = 12 cm
length = 2×width + 6 = 2×12 + 6 = 24 + 6 = 30 cm
The bases of the prism below are right triangles. If the prism's height measures 8 units and its volume is 60 units³, solve for x.
Answer:
3
Step-by-step explanation:
Volume of prism = 0.5 times height times length times width
60 = (0.5)(8)(5)(x)
120 = 8(5)(x)
120 = 40x
x = 3
Let me know if its right
Length of another side of base x = 3 unit
What is prism?A prism has a solid shape consisting of two identical ends (such as triangle, square, rectangle, etc.), flat faces or surfaces and uniform cross-section across its length. The cross-section looks like a triangle hence called triangular prism. The shape of the prism does not have any curve. Therefore, a prism can have square, rectangular, pentagonal and other polygon shapes but not the circular shape.
Height of the prism = 8units
Length of one side of base = 5 units
Length of another side of Base = x
Base is a right angle
Base Area = 5x/2
Volume of prism = 60 unit³
Volume of Prism = Base Area × Height
60 = (5x/2) × 8
60/8 = 5x/2
x = 120/40
x = 3 unit.
Hence, x = 3 unit which is length of another side of base.
Learn more about prism here:
https://brainly.com/question/29722724
#SPJ2
If you know that the product of two powers is 5 to the power of 3, and that the quotient is 5 to the power of 17, what could the two powers be? Explain how you know this answer is correct.
Answer:
[tex]5^{10} \cdot 5^{-7} = 5^3[/tex]
[tex]\frac{5^{10}}{5^{-7}} = 5^{17}[/tex]
Step-by-step explanation:
You have two equations:
[tex]5^a \cdot 5^b = 5^3[/tex]
[tex]\frac{5^a}{5^b} = 5^{17}[/tex]
But since
[tex]x^a \cdot x^b = x^{a+b}[/tex]
you only need to solve a+b = 3 and a-b=17
Rewrite the second as a = 17+b and plug it into the first:
17+b + b = 3, then you find, 2b = -14, so b = -7.
Then a=3-b, so a = 10.
i need help on this hegarty question i have been stuck on for hours
The difference of the two numbers in scientific form is:
[tex]493*10^{-9} = 0.00000493[/tex]
How to solve the difference?
Here we want to solve:
[tex](5*10^{-7}}) - (7*10^{-9})[/tex]
To solve this, we should have the same exponent in both sides, to get that, we can rewrite the first number as:
[tex]5*10^{-7} = 500*10^{-9}[/tex]
Replacing that, we will get:
[tex](500*10^{-9}) - (7*10^{-9}}) = 493*10^{-9}[/tex]
To write it in standard form, we need to move the decimal point 9 times to the left, so we get:
[tex]493*10^{-9} = 0.00000493[/tex]
The difference is equal to 0.00000493.
If you want to learn more about scientific notation:
https://brainly.com/question/5756316
#SPJ1
The value of a car decreases by 7.2% each year.
When bought the car cost £6200.
Work out how much the car will be worth after one year.
The car will be worth after one year is £ 5753.6.
What is exponential function?An exponential function is defined by the formula f(x) = [tex]a^{x}[/tex], where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
The exponential function is an important mathematical function which is of the form
f(x) = [tex]a^{x}[/tex]
Where a > 0 and a is not equal to 1.
x is any real number.
Given
Car cost when bought A = £ 6200
Value of a car decreases by 7.2% each year.
n = 1
r = 7.2% or 0.072
The car will be worth after one year
[tex]y= A (1-r)^{n}[/tex]
⇒ [tex]y =6200(1-0.072)^{1}[/tex]
⇒ [tex]y = 6200(0.928)[/tex]
⇒ y = £ 5753.6
Hence, the car will be worth after one year is £ 5753.6.
Learn more about exponential function here
https://brainly.com/question/11487261
#SPJ2
What might the area of the rectangle be?
Answer:
Not enough information to determine the area.
Step-by-step explanation:
There are square tiles arranged in a pattern. the pattern has rows that are 5 tiles wide and an unknown number of rows. if you take these tiles and add one additional tile, you can create a pattern that has rows that are 3 tiles wide, with 3 more total rows than the original pattern. how many are in the original pattern?
An equation is formed of two equal expressions. The number of rows in the original pattern will be 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of rows be represented by x. Now, the pattern has rows that are 5 tiles wide and an unknown number of rows. if you take these tiles and add one additional tile, you can create a pattern that has rows that are 3 tiles wide, with 3 more total rows than the original pattern. Therefore, we can write,
(Number of Tiles before) + 1 tile = (Number of Tiles afterward)
5x + 1 = 3(x+3)
5x + 1 = 3x + 9
5x - 3x = 9 - 1
2x = 8
x = 4
Hence, the number of rows in the original pattern will be 4.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
using technology find the solution for the following system of equations
y = -2x + 6
y=3x-4
Answer:
(1.333, 0) and (3, 0)
Step-by-step explanation:
Use desmos to input your equations then click on the solutions (zeroes)
20 points, please explain your answer :)
Answer:
Angle 3 = 70
Step-by-step explanation:
This is a geometry property
"opposite angle theorem"
It's pretty easy to prove it as well
180-70 = 110
180-110 = 70
Find the midpoint of the line segment. (Giving 25 points please hurry)
Answer:
(-4,-3)
Step-by-step explanation:
Answer:
(-4, -3)
Step-by-step explanation:
well, the only points possible are 3 points, a first, 2nd, and 3rd point. And the 2nd point is the mid-point.
What is the area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches
long? Round the answer to the nearest tenth.
2,331.0 in.²
1,554.0 in.²
1,165.5 in.²
194.3 in.²
The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²
How to calculate the area of a regular hexagon
The formula is given thus;
Area of hexagon = (1/2) × a × P
where a = the length of the apothem
P = perimeter of the hexagon
Given a = 18. 5 inches
Note that Perimeter, p = 6a with 'a' as side
p = 6 × 21 = 126 inches
Substitute values into the formula
Area, A = 1 ÷2 × 18. 5 × 126 = 1 ÷2 × 2331 = 1, 165. 5 In²
Thus, the area of the regular hexagon is 1, 165. 5 In²
Learn more about the area of a hexagon here:
https://brainly.com/question/15424654
#SPJ1
Find the correct missing value: y⁹ (x^²y = ³ ) ⁰ 12 X =
Answer:
-3
Step-by-step explanation:
Given equation:
[tex]\implies (x^4y^{-3})^n=\dfrac{y^9}{x^{12}}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{1}{a^n}=a^{-n}:[/tex]
[tex]\implies (x^4y^{-3})^n=x^{-12}y^9[/tex]
Rewrite -12 as (4 × -3) and 9 as (-3 × -3):
[tex]\implies (x^4y^{-3})^n=x^{(4 \times -3)}y^{(-3 \times -3)}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c[/tex]:
[tex]\implies (x^4y^{-3})^n=(x^4)^{-3}(y^{-3})^{-3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^c b^c=(ab)^c[/tex]
[tex]\implies (x^4y^{-3})^n=(x^4y^{-3})^{-3}[/tex]
Therefore, the missing value is -3
what is the median of this data set
Answer:
8
Step-by-step explanation:
The median is the number right in the middle. Eight is in the middle of the number line making it the median.
which coordinate is on the graph of the equation 4x-3y=8
Answer:
Coordinates (0, -8/3)
a rectangle has an area of 7.5m2. one of the sides is 0.3m in length. what is the perimeter of the rectangle?
Step-by-step explanation:
the area of a rectangular is
length × width
we know the area and one side, let's say it's the width (it does not matter, as multiplication are commutative, and a×b = b×a).
so,
7.5 = length × 0.3
length = 7.5 / 0.3 = 25 m
the perimeter of a rectangle is
2×length + 2×width = 2×25 + 2×0.3 = 50 + 0.6 = 50.6 m
Pls help asap !!! Show all work and I’ll give brainliest
Implementing the LSA from your other question
https://brainly.com/question/27870363?
LSA=3360ft²One can can paint 400ft²
Total cans
3360/4008.4cans9cans you need
Find the amplitude of this function.
Answer:
2.5
Step-by-step explanation:
The amplitude of a function is the amount by which the graph of the function travels above and below its midline.
The distance from the highest most point to the lowest point vertically is 5, meaning that the midpoint is 2.5 units from either end.
The function f(x) is shown on the graph. If f(x) = 0, what is x,?
Answer:
-2, 1 or 3 only
Step-by-step explanation:
just did it
Convert 7.5% to a fraction in lowest terms.
75/100
7 5/10
3/4
7 1/2
A
What is the formula for margin of error?
ZON'S
O ME=
√s
O ME=
O ME=
Ο ΜΕ
=
Z NS
7
Z S
Z•S
7
Answer:
[tex]\displaystyle ME=\frac{z\cdot s}{\sqrt{n}}[/tex]
Step-by-step explanation:
[tex]z[/tex] represents the critical value, [tex]s[/tex] represents the sample standard deviation, and [tex]n[/tex] represents the sample size.
Solve for x: 3(x + 1) = −2(x − 1) − 4
1
−1
−5
−25
Answer:
x = - 1
Step-by-step explanation:
3(x + 1) = - 2(x - 1) - 4 ← distribute parenthesis on both sides
3x + 3 = - 2x + 2 - 4
3x + 3 = - 2x - 2 ( add 2x to both sides )
5x + 3 = - 2 ( subtract 3 from both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
In the diagram, triangle SOP~ triangle GNQ, fine the value of x and explain
Answer: 33
Step-by-step explanation:
Because corresponding sides of similar triangles are in proportion, [tex]\frac{x}{22}=\frac{39}{26} \longrightarrow x=\boxed{33}[/tex]
Part A: In your own words, describe the steps that are necessary to determine whether angles are coterminal.
Part B: Explain why coterminal angles have a difference that is a multiple of 360° degrees, such as 720° or 1080°.
Part C: Find three angles that are coterminal with an angle measuring 75°. Show all work.
Answer:
Part A:
In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.
Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom
Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.
Step-by-step explanation: