Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given
[tex]Word = DANCER[/tex]
[tex]n =6[/tex] --- number of letters
Solving (a): Number of arrangements.
We have:
[tex]n =6[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =6![/tex]
This gives:
[tex]Total =6*5*4*3*2*1[/tex]
[tex]Total =720[/tex]
Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:
[tex]n = 5[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =5![/tex]
This gives:
[tex]Total =5*4*3*2*1[/tex]
[tex]Total =120[/tex]
Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:
[tex]n = 4[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =4![/tex]
This gives:
[tex]Total =4*3*2*1[/tex]
[tex]Total =24[/tex]
Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What is his hourly and weekly pay rate
Answer:
$15 / hr
$450 / week
Step-by-step explanation:
30 h x 52 w = 1560 hrs
$23400 / 1560 = $15 / hr
$15 * 30 hrs = $450 / week
What is the product of (6x^2 + 8)(3x^2 – 5x + 7)?
Answer:
x = 14 /3
Step-by-step explanation:
Answer: 18x^4 - 30x^3 + 66x^2 - 40x + 56
2. If it costs $0.12 Per Cubic inch
for the Juice, What is the Cost for the
original Container ?
NORD PROBLEMS
23
Landon has 48 books. He can fit 7
books in a box. How many boxes does he need?
How many books will be in
the last box?
Answer: He will need 7 boxes and there will be 6 in the last box
Step-by-step explanation:
I did division and solved it lol
Answer:
he needs 7 boxes
there will be just one book in the last box
Joe ate twice as many pieces of Halloween candy as Ed. Together they ate 48 pieces.
How many pieces of candy did Ed eat?
A. 12
B. 16
C. 24
D. 32
Answer: 16
Step-by-step explanation:
Let the number of candy Ed took be denoted as "x"
Since Joe ate twice the amount of candy Ed ate, then the number of candies joe ate will be denoted as "2x"
Since all together they ate a total of 48 candies, then the sum of the candies eaten by Joe and Ed is what gives a total of 48
This means:
2x + x = 48
3x = 48
X = 16.
According to the table below, what is the probability that a student chosen at random will be 16 or older?
Age. 13 14. 15. 16. 17. 18
Probability 0.01 0.25 0.30 0.28 0.15 0.01
A. 0.46 B. 0.83 C. 0.41 D. 0.44
Answer:
probability: 0.44
The probability that a student chosen at random will be 16 or older is 0.44 or 44%.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The probability that a student chosen at random will be 16 or older is the sum of the probabilities of selecting a 16-year-old or older student.
P(16 or older) = P(16) + P(17) + P(18)
P(16 or older) = 0.28 + 0.15 + 0.01
P(16 or older) = 0.44
Therefore, the probability that a student chosen at random will be 16 or older is 0.44 or 44%.
Learn more about probability here:
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If y=1/4x and x=-12, find y.
Answer:
-3 I believe
Step-by-step explanation:
why dose the answer have to be 20+ letters
Answer:
-3
Step-by-step explanation:
To find y, plug in -12 for x in the y=1/4x equation. Multiply -12 by 1/4 (or divide -12 by 4) and you get -3.
NO LINKS! NO FILES
please :)
Answer:
the answer is 40 because you count all the squares that are in the shape
Step-by-step explanation:
A 30-ounce box of cereal contains 12 servings.
Which value represents the unit rate in this scenario?
O A. 0.4 ounces/serving
O B. 2.5 ounces/serving
O c. 6 ounces/serving
O D. 18 ounces/serving
Answer:
tha answer is B
Step-by-step explanation:
What is the center of the circle?
A.(-1,-6)
B.(3,−1)
C.(−1,3)
D.(−6,1)
Answer:
B
Step-by-step explanation:
The x component must be positive (3)
V22 + V2
+
why can you NOT add these?
Answer:
The Bell Boeing V-22 Osprey is an American multi-mission, tiltrotor military aircraft ... However, the V-22 is generally not capable of hovering on one engine.
Find the exact value of x .
x = ?
Do the side lenghts form a Pythagorean triple?
Answer:
x = 14
Yes, the form a Pythagorean triple.
Step-by-step explanation:
50^2 - 48^2 = x^2
196 = x^2
x=14
What is 729 in a exponent
Pls help quickly
Answer:
27×27=729
729^6..........
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
(-2, 4)
(4,-5)
Answer:
- 1.5
Step-by-step explanation:
Given points
( x1 , y1 ) = ( 4 , - 5 )
( x2 , y2 ) = ( - 2 , 4 )
Now
Slope (m)
= ( y2 - y1 ) / ( x2 - x1 )
= ( 4 + 5 ) / ( - 2 - 4 )
= 9 / - 6
= -1.5
Hope it will help :)❤
a. 75.5 meters in 20 seconds
15 POINTS!
7. Which of the following systems of inequalities describes the shaded region in the graph below?
Answer:
Step-by-step explanation:
the 2nd choice looks good Emily
y > x
y > x+2
y>x and y>x+2 is the systems of inequalities describes the shaded region in the graph below.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A relationship between two expressions or values that are not equal to each other is called 'inequality.
Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade.
If the symbol ≥ or > is used, shade above the line.
If the symbol ≤ or < is used shade below the line.
y>x and y>x+2 is the inequality describes the shaded region in the graph below as it is greater.
Hence, y>x and y>x+2 is the systems of inequalities describes the shaded region in the graph below.
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may someone please help me? I’m having trouble finding G and H. It would be okay if you only found G for me. I will give the first answer a brainliest if it is reasonable or correct! Thanks you
g would be 125 degrees
h would be 62 degrees
Answer:
g = 118°
Step-by-step explanation:
b = 180 - 62 = 118 because b is supplementary to the 62° angle
g = 118 because b and g are alternate interior angles
Area 15 cm 12 cm 19 cm triangle
Answer:
not clear
Step-by-step explanation:
what is the height and base? need an image
Use 3.14 for PI( π )
Diameter: 5 ft
Formula: A= πr2
Answer:
[tex]\boxed {\boxed {\sf 19.625 \ ft^2}}[/tex]
Step-by-step explanation:
The area of a circle is found using this formula:
[tex]a= \pi r^2[/tex]
We know the circle's diameter is 5 feet, but we don't know the radius. Remember the diameter passes through the center from one side to the other, while the radius connects the center and the side. Therefore, the radius is half the diameter.
r=d/2r= 5 ft/2r= 2.5 ftWe know the radius is 2.5 feet and we are using 3.14 for pi. Substitute the values into the formula.
[tex]a= (3.14)* (2.5 \ ft)^2[/tex]
Solve the exponent.
(2.5 ft)²= 2.5 ft *2.5 ft=6.25 ft²[tex]a= (3.14)*(6.25 \ ft^2)[/tex]
Multiply.
[tex]a=19.625 \ ft^2[/tex]
The area of the circle is 19.625 square feet.
1
From the graph Y =
shown below, what happens to the y-values as the positive x- values get closer to zero?
.
4
s
-
-3
2
1
w
2
C.
d.
They stay the same
cannot be determined
a.
They increase
b. They decrease
Answer:
a
Step-by-step explanation:
a.
They increase
Ana is baking cookies for her family reunion. Her recipe uses 3/4 cup sugar and has a yield of 24 cookies. How many cups of sugar will Ana need if she wants to bring 10 dozen cookies? (1 dozen = 12).
9514 1404 393
Answer:
3 3/4 cups
Step-by-step explanation:
The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.
As a mixed number 15/4 = 3 3/4.
Ana will need 3 3/4 cups of sugar for 10 dozen cookies.
Answer:
Solution given:
recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's
now
we have
2 dozen=3/4 cup of sugar
10dozen=3/4×10/2=15/2 cup of sugar is needed
Math please help!!!!
Answer:
6.3 years
Step-by-step explanation:
Given
[tex]P = 22400[/tex] --- initial value
[tex]r = 12\%[/tex] -- rate
[tex]A = P(0.88)^t[/tex] --- function
Required
Find t when [tex]A = 10000[/tex]
We have: [tex]A = P(0.88)^t[/tex]
Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]
[tex]10000 = 22400 * 0.88^t[/tex]
Divide both sides by 22400
[tex]0.4464 = 0.88^t[/tex]
Take log of both sides
[tex]\log(0.4464) = \log(0.88^t)[/tex]
Apply law of logarithm
[tex]\log(0.4464) = t\log(0.88)[/tex]
Solve for t
[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]
[tex]t = \frac{-0.3503}{-0.0555}[/tex]
[tex]t = 6.31[/tex]
[tex]t \approx 6.3[/tex]
Please help I’ll mark you as brainliest if correct!
Answer:
D. 50.24
Step-by-step explanation:
The circumference based on the diameter of 16 is 50.27. Since its asking for the closest I would believe its D. :) hope this helps
PLEASE HELP
WHAT ARE THE coordinates for the center of the hyperbola??
Answer:
The coordinates of the center of the hyperbola are (1,-3)
Step-by-step explanation:
Equation of a hyperbola:
The equation of a hyperbola with center [tex](x_0,y_0)[/tex] is given by:
[tex]\frac{(x - x_0)^2}{a^2} - \frac{(y - y_0)^2}{b^2} = 1[/tex]
In this question, we have that:
[tex]-x_0 = -1 \rightarrow x_0 = 1[/tex]
[tex]-y_0 = 3 \rightarrow y_0 = -3[/tex]
The coordinates of the center of the hyperbola are (1,-3)
solve the equation 10x-6+18x-6(2x-4)=2
Answer:
x=-1
Step-by-step explanation:
multiplique el paréntesis por -6
10x-6+18x-12x+24=2
agripe los términos semejantes
16x-6+24=2 ...... 16x+18=2
mueva la constante al lado derecho y cambie su signo
16x=2-18
calcula la diferencia
16x=-16
divida ambos lados de la ecuación entre 16
x=-1
Find the area of a circle with diameter = 42 cm. Use 3.14
find inverse of f(x)= 5x+ln(x-2)
Answer:
y = 5 x + ln ( x − 2 )
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
Answer:
[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]
Step-by-step explanation:
Since, the variables x and y are inversely proportional.
[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]
Please help I’ll mark you as brainliest if correct!
Answer:
half of 11:
5.5^2 x 3.14
30.25 x 3.14 = 94.985
round
94.99
The radius of a circle is 4 feet. What is the area of a sector bounded by a 45 degree arc
Answer:
2π ft²
Step-by-step explanation:
Circle Area:
A = πr²
A = π × (4 ft)²
A = 16π ft²
Sector Area:
A = (45°)/(360°) × 16π ft²
A = 2π ft²