Answer: 12
Step-by-step explanation:
The answer is 12 because:
sizes are 3
toppings are 4
Using the Fundamental Counting Principal you multiple the selections
( 3 x 4=12)
So just learn the fundamental counting principal and it'll be easier. :)
The number of unique ways that you can order a bag of popcorn if you can only select one topping is 12 ways.
How do solve probability combinations?Combinations in probability refer to sequences of outcomes where the order does not matter.
Combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! × (n - r)! where n represents the total number of items, and r represents the number of items being chosen at a time.
We are given the 3 different sizes of popcorn as;
Small
Medium
Large
Now, we are told that an order of popcorn comes with 4 different topping choices. Thus;
A number of unique ways that you can order a bag of popcorn are;
N = 3×4 = 12 unique ways
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2xº
(8x - 10°
a. Solve for x
b. Find the measure of the angle on the right
c. Find the measure of the angle on the left
Step-by-step explanation:
2x + 7x - 10 = 180° because these rwo angles are supplementary
10x - 10 = 180°
10x = 190° divide both sides by 10
x = 19
measure of angle on the right:
8x - 10 ➡ 8 × 19 - 10 = 142°
measure of angle on the left:
2x ➡ 2 × 19 = 38°
What is the slope of the line that passes through the points (10,5) and (9,5)? Write
your answer in simplest form.
Answer:
slope of line is 0.
Step-by-step explanation:
Slope of a line passing through (x1,y1) and (x2,y2) is given by
m = (y2-y1)/(x2-x1)
Given points are (10,5) and (9,5)
thus
slope = (5-5)/(9-10) = 0/-1 = 0
Thus, slope of line is 0.
When slope of line is zero it means that the line the which passes through given point is parallel to x-axis.
The slope of the line that passes through the points (10,5) and (9,5) is 0.
Using slope formula,
m = y₂ - y₁ / x₂ - x₁
Therefore,
(10,5) (9,5)
m = 5 - 5 / 9 - 10
m = 0 / -1
m = 0
Therefore, the slope of the line that passes through the points (10,5) and (9,5) is 0.
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What’s the value of k?
Answer: k = 5°
Step-by-step explanation:
A triangle adds up to 180°. Therefore, the equation is 115 + (4k + 5) + (6k + 10) = 180.Remove the parenthesis and combine the like terms. 115 + 5 + 10 = 130 and 4k + 6k = 10k. The equation simplifies to 130 + 10k = 180.Subtract 130 on both sides. 10k = 50Divide by 10 on both sides. k = 5Answer:
The value of k is 10°
Step-by-step explanation:
Assuming that straight line is 180°. First, you have to find the angle of ZYX by subtracting 115° from 180° :
∠ZYX = 180° - 115° = 65°
Given that total angles in a triangle is 180°. So you have to add up all the angles in the triangle in terms of k :
∠XZY + ∠ZYX + ∠ZXY = 180°
4k + 5 + 65 + 6k + 10 = 180
10k + 80 = 180
10k = 180 - 80
10k = 100
k = 100 ÷ 10
k = 10
Which must be true for two figures to be congruent?
Answer:
Congruent
Step-by-step explanation:
For the shapes to have the same size, and shape.
I need help fast please!!!
Answer:
the answer is 3
Step-by-step explanation:
Find the root
X^3-125=0
[tex] \huge {\sf {{x}^{3} - 125 = 0}} [/tex]
To Find:The root of the equation.
Solution:By adding 125 to both the sides, we get
[tex] \huge {\sf { {x}^{3} = 125}} [/tex]
Take cube to the RHS (Right Hand Side), we get
[tex] \huge {\sf { x = 5}}[/tex]
Answer: x = 5The solution to the expression is x = 5.
We have,
Expression:
x³ - 125 = 0
This can be written as,
x³ = 125
Now,
Cube of 5:
5³ = 5 x 5 x 5 = 125
Now,
x³ = 5³
Cube cancels out on both sides.
x = 5
Thus,
The solution to the expression is x = 5.
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helpppppppp me please:(
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the anwers is c
Red blood cells need iron. They store iron and typically contain more iron than the fluid around them does. Which
action would show the blood cells doing active transport?
O pushing iron out
O bringing iron in
O swelling
O shrinking
Answer:shrinking
Step-by-step explanation:
Answer:
bringing iron in
Step-by-step explanation:
hoped this helped let me know if it did
Differentiate Square numbers and cube numbers
Answer:
square numbers are numbers raised up to the power of two in essence the number multiplied by it self
Factorise 18pq-12p
-
Answer:
6p(3q - 2).
Step-by-step explanation:
The GCF ( Greatest Common Factor) of 18pq and 12p is 6p.
So 18pq-12p = 6p(3q - 2).
Christina is paid biweekly. Her annual salary is 37,500. What is her biweekly salary, rounded to the nearest cent?
Answer:
$1,423.08
Step-by-step explanation:
[tex]\frac{37000}{26} = 1,423.076[/tex] rounded to the nearest cent it becomes 1,423.08.
*Remember that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.
The biweekly salary, rounded to the nearest cent is 1,423.08.
It is required to find the solution.
What is rounded number?A number that is easily multiplied, divided, etc., and especially a number that ends in zero.
Given :
Christina is paid biweekly. Her annual salary is 37,500.
According to given question we have,
We know that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.
37500/26=1423.076
Rounded to the nearest cent it becomes 1,423.08.
Therefore, the biweekly salary, rounded to the nearest cent is 1,423.08.
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The Rodriguez family drove 260 miles to get to
their summer vacation. The drive took 4 hours.
Assuming the family drove at a constant speed,
how many miles per hour did the Rodriguez
family drive?
Answer:
65
Step-by-step explanation:
260/4=65
Answer:
65
Step-by-step explanation:
A bank offers a 12.8% annual rate compounded monthly. The periodic interest rate is:
Round to three decimals.
Answer:
%1.067
Step-by-step explanation:
I wrote it out and I'm attaching the picture
hope this helps
(I originally did this on the wrong question but I've fixed it)
In expanded form, log(1,000a^3/b) is equivalent to...
Answer:
Option (4)
Step-by-step explanation:
Given expression is,
[tex]\text{log}(\frac{1000a^3}{b})[/tex]
To solve this expression we will use the logarithmic properties.
[tex]\text{log}(\frac{1000a^3}{b})=\text{log}1000a^3-\text{log}(b)[/tex] [Since, [tex]\text{log}\frac{p}{q}=\text{log}p-\text{log}q[/tex]]
= log(1000) + log(a³) - log(b) [Since, log(pq) = log(p) + log(q)]
= 3 + 3log(a) - log(b)
= 3[1 + log(a)] - log(b)
Therefore, Option (4) will be the correct option.
How many solutions does 6d+8=14+3d have?
Answer:
d =2
Step-by-step explanation:
6d+8=14+3d
Subtract 3d from each side
6d-3d+8=14+3d-3d
3d +8 = 14
Subtract 8 from each side
3d +8-8 = 14-8
3d =6
Divide by 3
3d/3 = 6/3
d =2
500g:3kg.Give answer in lowest term
Answer:
Step-by-step explanation:
First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.
So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.
500g:3,000g
So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.
Final Simplified Ratio: 1g:6g
Hope this helped :)
URGENT!!! Please help
Answer:
The 3rd answer i think
Step-by-step explanation:
If Jamie is riding at 14 mph and cori is riding at 0.04km per minute, how far will each of yjem bike in two hours? 1 mile = 1.61 km use the equation D=V/T
Answer:
Jamie will have covered a distance of 45.08 km while Cori will be 4.8 km away
Step-by-step explanation:
Here, we want to know how far will each of both riders be in 2 hours time.
Jamie is riding 14 mph
This means the number of miles covered in two hours will be 14 mph * 2 = 28 miles
For comparison purposes, let’s convert this to kilometer.
Since 1 mile = 1.61 km, then 28 miles will be 28 * 1.61 km = 45.08 km
For Cori, he is riding at 0.04 km per minute
1 hour = 60 minutes
so 2 hours = 2 * 60 = 120 minutes
Since the speed is 0.04 km in a minute
Then the distance in 120 minutes will be 0.04 * 120 = 4.8 km
Answer:
The answer is B.
Step-by-step explanation:
0.40 km to miles 0.248548
Then 0.248548 x 120=2 hours
The gcf of 36 and 60
Answer:
the gcf is 12
Step-by-step explanation:
.............
Answer:
The gcf is 12!
If h = -19 and j = 16, what is
[tex] \sqrt{j - h} [/tex]
Answer:
[tex]\sqrt{35}[/tex]
Step-by-step explanation:
h =-19
j =16
[tex]\sqrt{j-h} = ?[/tex]
Substitute values into the given equation
[tex]\sqrt{16-(-19)} \\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=\sqrt{16+19}\\\\\mathrm{Add\:the\:numbers:}\:16+19=35\\\\=\sqrt{35}[/tex]
Which step can you use to solve the equation t - 8= -3?
O Add 8 to each side of the equation.
Subtract 8 from each side of the equation.
O Multiply each side of the equation by 8.
O Divide each side of the equation by 8.
Solve the equation t-8=
3.
Convert 6 7/20
into a decimal
Answer:
6.35
Explanation:
7 divided by 20 is 0.35+6= 6.35
Cindy lost 47 pounds while on a diet. She now weighs 144 pounds. Write and solve an equation to find her initial weight.
Answer:
191
Step-by-step explanation:
47+144=191
Answer:
equation: 144+ 47= 191
Step-by-step explanation:
Find the slope of the line through (2, -3) and (-4, 3).
Answer: slope m=-1
Step-by-step explanation:
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{Slope = - 1}}}}}[/tex]
Step-by-step explanation:
[tex] \tt{Let \: the \: points \: be \: A \: and \: B}[/tex]
[tex] \tt{Let \: A ( 2 , -3 ) \: be \: ( x1 , y1 ) \: and \: B ( -4 , 3 ) \: be \: ( x2 , y2)}[/tex]
[tex] \underline{ \tt{Finding \: the \: slope \: of \: the \: line}}[/tex]
[tex] \boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex] \longmapsto{ \sf{Slope = \frac{3 -( - 3)}{ - 4 - 2} }}[/tex]
[tex] \longmapsto{ \sf{Slope = \frac{3 + 3}{ - 4 - 2}}} [/tex]
[tex] \longmapsto{ \sf{Slope = \frac{6}{ -6}}} [/tex]
[tex] \longmapsto{ \boxed{ \sf{Slope = - 1}}}[/tex]
[tex] \tt{Hope \: I \: helped ! } [/tex]
[tex] \sf{Best \: regards !!}[/tex]
~TheAnimeGirl
Factor Completely.
4x^3 - 6x^2 + 16x -24
Answer:
2(2x - 3)(x^2 -4)
Step-by-step explanation:
the second one
Roselyn is driving to visit her family, which lives 150 km away. Her average speed is 60 km/h. The cars tank has 20 L of fuel at the beginning of the drive, and its feel efficiency is 6 km/L. Fuel cost 0.60 dollars per liter what is the price for the amount of feel that Rosalyn will use for the entire drive?
Answer:
15
Step-by-step explanation:
It was very long
The price for the amount of fuel that Roselyn will use for the entire drive is $25
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in the determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, and quadratic equations.
Roselyn's family lives 150 km away.
Her average speed is 60km/h
The car tank has 20 L of fuel at the beginning of the the drive.
Fuel efficiency is 6km/ L.
The cost of the fuel is $0.60/L.
The total drive is 150km.
The 6km of distance requires 1 L of fuel
Then 150 km of the distance requires
= 150 * 1 / 6
= 150/6
= $25.
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Can someone answer all these for me please
The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is 1/4 of the way from A to B?
Answer:
Step-by-step explanation:
(4 + 12)/4 = 16/4 = 4
(-2 + 10)/2= 8/4 = 2
(4, 2) is 1/4 of the way from A to B
The coordinates of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
The coordinates of points A and B are A(4, -2) and B(12, 10)
The coordinates of the point that is 1/4 of the way from A to B
The above statement means that the line segment AB is divided in the ratio of 1:4 internally.
Using the section formula:
Let C be the new coordinate point:
C(x) = [1(12) + 4(4)]/(1+4)
C(x) = 28/5
C(y) = [1(10) + 4(-2)]/(1+4)
C(y) = 2/5
Thus, the coordinate of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).
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1.Write 6,730,000 in scientific notation.
2. Write 13,300 in scientific notation.
3. An ordinary quarter contains roughly 97,700,000,000,000,000,000,000 atoms. Write this number using scientific notation.
Answer:
6.73 X 10 to the sixth power.
1.33 X 10 to the fifth power.
9.77 X 10 to the twenty-second power.
Step-by-step explanation:
pls help fast......
Standard form is just putting the exponents in descending order.
Standard form: 13x^8 + 4x^5 - 16x^2
The degree of a polynomial is the largest exponential value of a term.
In this case, the degree of the polynomial = 8