Given:
Number of winter coats = 2
Number of hats = 4
Number of scarves = 3
To find:
The total number of different outfit combinations.
Solution:
Number of winter coats is 2. So, the number of ways to select a winter coat from 2 coats is 2.
Number of hats is 4. So, the number of ways to select a hat from 4 hats is 4.
Number of scarves is 3. So, the number of ways to select a scarf from 3 scarves is 3.
So, the total number of ways is:
[tex]2\times 4\times 3=24[/tex]
Therefore, Helen have 24 different outfit combinations.
Leigh-Mari walks 10 kilometres to a waterfall at an
average speed of 3 kilometres per hour.
(a) Write down, in terms of r, the time taken in hours.
(b) Leigh-Mari returns from the waterfall but this time she
walks the 10 kilometres at an average speed of (x+1)
kilometres per hour. The time of the return journey is
30 minutes less than the time of the first journey. Write
an equation in x and show that it simplifies to
2 + 1 - 20 = 0.
(c) Solve the equation x2 + - 20 = 0.
(d) Find the time Leigh-Mari takes to walk to the waterfall,
Answer:
immma send you the link friend me on hereStep-by-step explanation:
If Amy has 5 apples and she eats 3 how many does she have left?
Answer:
2 apples.
Step-by-step explanation:
Answer:
She has 2 more apples left!
Step-by-step explanation:
Simple: this is the equation: 5 - 3 = 2!
twice a number divided by 3
Answer:
3/4
Step-by-step explanation:
algebra 1
what's the simplified form of (3s^2-2s+1)/(s^2-s+2)
Answer:
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
STEP
2
:
3s2 - 2s + 1
Simplify ————————————
s2 - s + 2
Trying to factor by splitting the middle term
2.1 Factoring 3s2 - 2s + 1
The first term is, 3s2 its coefficient is 3 .
The middle term is, -2s its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 3 • 1 = 3
Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + -1 = -4
-1 + -3 = -4
1 + 3 = 4
3 + 1 = 4
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
The cost of 15 kg of apples is $262.50. Find the cost of 25 kg of apples
Answer:
525.00
Step-by-step explanation:
The cost of 25 kg of apples is $437.5.
What do we mean by cost ?"A cost is an expenditure required to produce or sell a product or get an asset ready for normal use. In other words, it’s the amount paid to manufacture a product, purchase inventory, sell merchandise, or get equipment ready to use in a business process.
There are many different costs, including fixed and variable, but they are all accounted for in the same way. Costs are recorded as expenses on the income statement during and accounting period and cleared out in a closing entry at the end of the period."
The cost of 15 kg is $262.50.
So, the cost of 1 apple is 262.50/15
= 17.5
Cost of 25 kg = [tex]17.5 * 25 = 437.5[/tex]
Hence, the cost of 25 kg of apples = 437.5
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What is the volume of the right rectangular prism, in cubic centimeters?
Answer:
108 units
Step-by-step explanation:
Volume = length × width × height
V = 4 × 3 × 9
V = 108 units
need help now! (probibility)
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?
Answer:
36%, I'm fairly certian
Step-by-step explanation:
A. 90%
B. 60%
C. 30%
D. 36%
D. makes the most sense to me
The probability of going to the amusement park will be 60%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:-
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park.The probability will be calculated as:-
[tex]P|A|B|=\dfrac{P(A\cap B)}{P(B)}\\\\\\P|A|B|=\dfrac{0.6\times 0.9}{0.9}=0.6=60\%[/tex]
Therefore probability of going to the amusement park will be 60%.
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It’s a multiple choice so it’s like 3 answers but help please
Answer:
b g and e
Step-by-step explanation:
What is the nth term rule of the quadratic sequence below?
6,12,20,30,42,56,72
Answer:
Step-by-step explanation:
The first term is 6. The difference between the first two terms is 6. The first differences are 6,8,10,12,etc. so the second differences are 2’s.
quadratic formula: an^2+bn+c
2a=second difference=2
3a+b=first differece =6
a+b+c=first term=6
substitute: a=2/2=1, 3(1)+b=6 so b=3, 1+3+c=6 so c=2
nth term= n^2+3n +2
f(x)=∣x∣
g(x)=∣x−1∣+9
We can think of g as a translated (shifted) version of f
Complete the description of the transformation.
Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
Comment: The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit larger than 4. g(5) = |5 - 1| = 4.
Solve for x: help me
Answer:
[tex]8x - 4 = 60 \\ 8x = 64 \\ x = 8[/tex]
Answer:
8
Step-by-step explanation:
8x-4=60
solve the system of equations x-y=-14 and 5x+7y=-10 by combining the equations.
Answer:
x+y=-4
Step-by-step explanation:
you need to solve this using elimination!
add both equations to each other:
x-y=-14
5x+7y=-10
the answer would be
6x+6y=-24
to go further,
it would be....
x+y=-4
because you can divide both sides by 6
hope this helped <33333
i need help with geometry
Answer:
Pyramid
Step-by-step explanation:
choose all the equations for which X = 1/2 is a solution
C, D,E
Step-by-step explanation:
4x=2
4+x=4 1/2
16x=8
The following frequency table shows the observed high temperatures in Buffalo, New York, in May 2007.
Which interval contains the median temperature?
A.)50 - 59
B.)60 - 69
C.)70 - 79
D.)80 - 89
B)60-69
I guess option B is correct as it's frequency is higher
Answer:
answer is B. 60-69
Step-by-step explanation:
because I said so?
I need help with a and b ASAP
Answer:
A is (-3,0) and (1,0).
B is (-1, -2).
Step-by-step explanation:
To find the x-intercepts, look along the x-axis and where the line goes through it. Those two locations are your answer.
To find the vertex, you can find the axis of symmetry by taking its equation and putting it into the form of x = -b/2a or finding the lowest or highest point in the line. In this example, it is (-1, -2) as the lowest point, and there is not a highest point to find, since it is in a u-shape.
Evaluate
[tex] {9 }^{2} - {7 }^{2} \\ {2}^{3} [/tex]
[tex] {9}^{2} - {7}^{2} \div {2}^{3} \\ = 74.875[/tex]
Hope it helps you16x³-128y³
pls answer fast
Answer:
16x³-128y³
2((2x)³-(4y)³)
2(2x-4y)(4x²+8xy+16y²)
2×2×4(x-2y)(x²+2xy+4y²)
16(x-2y)(x²+2xy+4y²)
is your answer in factor form.
The required factor is given by 16(x-2y)(x²+2xy+4y²)
factors can be defined as the the numbers that multiply to give that number.
Factorization
It follow the
a^3-b^3 = (a-b)(a^2+ab+b^2)
[tex]16x^3-128y^3\\16(x^3-(2y)^3)\\16(x-2y)(x^2+2xy+4y^2)[/tex]
Thus the required factor is given by 16(x-2y)(x²+2xy+4y²).
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-Cuántos números 2 veras si cuentas de del 10 al 22?
Answer:
12
Step-by-step explanation:
If 9:3 is equal to 3:1 and then what is 12:4 equal to ?
Answer:
36:12 or 3:1
Step-by-step explanation:
12:4= 36: 12
or 12:4 simplify= 3:1
hope it helps
PLS HURRYYYYYYYY
Which word describes the 5 in the expression 5n? A. coefficient B. exponent C. product D. sum
Answer:
Step-by-step explanation:
It would be either A or C
Most likely A Hope this helps ya <3
The word describing 5 in the given expression is a coefficient.
What is an expression?An expression, in math, is a sentence with a minimum of two numbers and at least one math operation in it.
Given that an expression 5n, we need determine the word used for number 5,
We know that, the numbers connected to a variable by multiplication is called a coefficient.
Here,
5n = 5 × n,
n = variable, 5 = coefficient.
Hence the word describing 5 in the given expression is a coefficient.
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Find the scale factor of a model train if the scale is 1 inch = 4 feet.
Answer:
1
Step-by-step explanation:
Emily wants to know the volume of a beach ball. She deduces that the beach ball has diameter of 12 inches, and then uses the following formula to find the volume: (3.14) (12) V = (3.14) (1728) (5425.92) V=7234.56 cubic inches Emily's answer is incorrect. What did she do wrong? She used the formula for a cylinder instead of the formula for a sphere She used the formula for a sphere instead of the formula for a cone. Multiplying (314)(1728) does not equal 5425.92. She used the beach ball's diameter when she should have used the radius
Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
In ΔXYZ, ∠Y=90° and ∠X=40°. ∠ZWY=51° and XW=600. Find the length of ZY to the nearest integer.
The image of the triangle is missing so i have attached it.
Answer:
ZY ≈ 391
Step-by-step explanation:
From the attached image, ∠WZY = 180 - (51 + 90) = 39°. Because ΔWYZ is a right angle triangle and sum of angle in a triangle = 180°
Now, similarly ∠XZY = 180 - (40 + 90) = 50°
Using sine rule, we can find WZ;
WZ/sin 40 = XW/sin 50
We are given XW = 600
Thus;
WZ = (600 × sin 40)/sin 50
WZ = 503.5
Now, ZY can be found using trigonometric ratios;
ZY/WZ = sin 51°
Thus;
ZY = 503.5 × sin 51
ZY ≈ 391
True or false
You always have to use x and y as your variables when writing
equations for word problems.
Answer:
false
Step-by-step explanation:
you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something
:( I need HEEEEEEEEELP
Answer:
My guess is 10 because out of the 14 donuts in the graph half of them are jelly filled so following the stats half of the 20 donuts will be jelly filled making 10 half of 20.
Who can answer this ( see image).
9514 1404 393
Answer:
042
Step-by-step explanation:
The first clue tells you the possibilities are ...
6__, _8_, or __2
The second clue eliminates 6__ and tells you the possibilities are ...
18_, _81, 1_2, 48_, _42
The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.
042 is consistent with the last 2 clues.
The 3-digit key is 042.
IF you add 6 tens of thousands, 5 thousands and 3 hundreds together what is the value of the largest digit of the answer?
Answer:
ten thousands place
Step-by-step explanation:
6 tens of thousands = 60,000
5 thousands= 5,000
3 hundreds= 300
60,000
+ 5,000
+ 300
65,300
Decide whether the triangle can be proven congruent I need help
Answer:
I think AAS can be used
Step-by-step explanation:
There are two laundry trucks One laundry truck visits Roxanne's house every 3 days and another laundry truck visits her neighborhood every 4 days. When will both the trucks next visit on the same day ?
Answer:
Evey 12 days both of the trucks visit on the same day
Step-by-step explanation:
The LCM of 3 and 4 is 12, because 12 is the smallest number that 3 and 4 are both factors for.