The total number of ways this can be done together is 105 × 66 = 6930
This is a combination question question it has to do with selection.
In order to group 2 men from 15 men, this can be expressed using the combination formula as shown;
15C2 = 15!/(15-2)!2!
15C2 = 15!/13!2!
15C2 = 15×14/2
15C2 = 105 ways
Similarly in order to group 2 women from 12 men, this can be expressed using the combination formula as shown;
12C2 = 12!/(12-2)!2!
12C2 = 12!/10!2!
12C2 = 12×11/2
12C2 = 66 ways
The total number of ways this can be done together is 105 × 66 = 6930
Learn more about combination here: https://brainly.com/question/14492965
Calculate percentage to the nearest 0.1%.
The markup on desserts in a restaurant is 70% of the menu price. The restaurant is adding key lime pie to its dessert list.
The cost to the restaurant works out to $1.25 per slice.
Determine:
a. The menu price of a slice of pie. (Round your answer to the nearest cent.)
Price
$
b. The rate of markup on cost. (Round your answer to one decimal place.)
Rate
%
9514 1404 393
Answer:
a. $4.17
b. 233.3%
Step-by-step explanation:
a. The proportion the markup (m) is to the total (t) is ...
m : t = 7 : 10
The total is the cost (c) plus the markup, so we have ...
m : t = 7 : 10 = m : (m +c) = 7 : 7 +3
Then the ratio of total price to cost is ...
t : c = 10 : 3
The menu price of the pie slice will be ...
$1.25 × 7/3 ≈ $4.17
__
b. The ratio of markup to cost is ...
m : c = 7 : 3 ≈ 2.333 = 233.3%
Is (1,5) a solution to this system of equations?
y=
–
3x+7
y=3x+2
Answer:
no, there is no solution
Step-by-step explanation:
put it in desmos, but the slopes are the same, so they are parallel and never touch. So, no solution.
Triangle ABC is isosceles. What is the measure of angle C?
A. 25°
B. 30°
C. 60°
D. 75°
The answer is D, 75°.
All the interior angles of a triangle add up to 180°. With this information, we can set up this equation:
(x + 5) + (3x) + (3x) = 180
Combine like terms.
(x + 5) + (3x) + (3x) = 180
7x + 5 = 180
-5 -5
7x = 175
/7 /7
x = 25
Now, since this is an isosceles triangle, we can easily substitute the value of x into 3x. 3 • 25 = 75 which is 75°.
The slope of a line is -1/2 What is the slope of a line that is perpendicular to it?
convert this fraction to a decimal 1/200
Answer:
0.005
Step-by-step explanation:
if 9/24 equals 3/x , then x is ____
[tex]\\ \sf\longmapsto \dfrac{9}{24}=\dfrac{3}{x}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{8}=\dfrac{3}{x}[/tex]
[tex]\\ \sf\longmapsto 3x=24[/tex]
[tex]\\ \sf\longmapsto x=24/3[/tex]
[tex]\\ \sf\longmapsto x=8[/tex]
What is -105/-77 simplified?
Answer:
[tex]\frac{-15}{-11}[/tex]
Step-by-step explanation:
To simplify more known as reduced we have to find the fraction as and equivalent fraction
DefinitionEquivalent Fraction - are the fractions that have different numerators and denominators but are equal to the same value.
Look for the GCFTo find the we must list out the of and
[tex]77:1, 7, 11 ,77\\\\1, 3, 5, 7, 15, 21, 35 , 105[/tex]
Our [tex]GCF[/tex] is [tex]7[/tex]
Our fraction[tex]\frac{-105}{-77}[/tex]ReduceDefinition of reduce - reduction refers to the rewriting of an expression into a simpler form
Divide the numerator and denominator by [tex]7[/tex]
Our fraction is [tex]\frac{-15}{-11}[/tex]In circle O, what is mArc A E?
Answer:
Step-by-step explanation:
By using the theorem of secants intersecting externally, Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs. m∠C =. 36° =. 72° = °. …
By using the theorem of secants intersecting externally, Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs. m∠C =. 36° =. 72° = °. …
There are 564 men and women working in a factory.
There are twice as many women as men.
How many men are working in the factory?
Answer:
564x2=1128 men
Step-by-step explanation:
Answer:
there are1139 women are working in the factory
Drag each relation to the correct location on the table. Classify the relations according to whether or not they are functions.
they are all functions
Can someone answer this correctly for my sister please
Answer:
12) A ( 9, 11, 13, 15)
13) A ( o , a)
14) A (b ∈ ( a, b, c, d, e, f))
15) C ( -364)
16) D (-1°C)
17) B (Negative)
18) C (26 feet)
19) B (7)
Step-by-step explanation:
12) All of these are odd numbers greater than 7
13) These are the only vowels in "MONDAY"
14) Point B cannot belong in a set that already has B
15) -9876 + 9512 = -364
16) 4 - 5 = -1
17) ex: -2 + (-2) = -4
18) -20 + 12 - 18 = -26
19) 3(5) + 4(-2) = 15 - 8 = 7
-Chetan K
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 feet deep at its deepest point. If the pool is being filled at a rate of 0.8ft3/min, how fast is the water level rising when the depth at the deepest point is 5 ft
Using implicit differentiation, it is found that the water level is rising a rate of 0.001 ft/sec.
The volume of a pool of length l, width w and height h is given by:
[tex]V = lwh[/tex]
Applying implicit differentiation, the rate of change of the volume is given by:
[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]
Neither the width nor the length changes, hence [tex]\frac{dl}{dt} = \frac{dw}{dt} = 0[/tex], and:
[tex]\frac{dV}{dt} = lw\frac{dh}{dt}[/tex]
We are given that:
[tex]\frac{dV}{dt} = 0.3, l = 20, w = 40[/tex], hence:
[tex]\frac{dV}{dt} = lw\frac{dh}{dt}[/tex]
[tex]0.8 = 20(40)\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt} = \frac{0.8}{800}[/tex]
[tex]\frac{dh}{dt} = 0.001 [/tex]
Water level is rising at rate of 0.001 ft/sec.
A similar problem is given at https://brainly.com/question/9543179
Will be giving brainliest! Have a good day and you’ll get through it !
Answer:
ok you to !!!!!!!!! good night!!
Step-by-step explanation:
what is (12x2)-(45/5)
Answer:
[tex](12 \times 2) - \left(\dfrac{45}5 \right) =24 -9 = 15[/tex]
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
(12 × 2) - (45 / 5) ← evaluate parenthesis
= 24 - 9
= 15
Due to the heightened demand for Clorox wipes, the company has marked up their prices by 20%. If they used to only cost $3.75, how much do they cost now?
A theme park ticket usually costs $154. Due to lower attendance rates, they have marked down their ticket costs by 18%. How much is the ticket cost now?
Answer:
hey there!
Step-by-step explanation:
FIRST QUESTION
3.75
10%= 0.375
20%= 0.75
3.75 + 75 = 4.50
$4.50
SECOND QUESTION
18/100 = X/154
X/154 = 18/100
X*154/154 = 18*154/100
X = 2772/100
X = 27.72
154- 27.72 = 126.28
$126.28
6 + 2f = 8
f =
what the awnser i need help
Answer
f= 1
step by step explanation
Michelle bought 4 packs of
soda for $10. How much did
each pack cost?
Answer: 2.50$
Step-by-step explanation:
Pls answer, will award brainliest
1.00065528... Is the correct answer.
the sum of three consecutive odd integers is 17 less than four times the smallest integer. find the largest integer.
PLSSS helPPP :')
Answer:
Find three consecutive integers where their sum is 17 less than four times the smallest integer. So consider any integer -- let's call it n.
7 answers
·
1 vote:
Let the smallest of those numbers be [math]n[/math], then the other numbers w
Step-by-step explanation:
tap the word that "they" refers to
a. birds
b. frogs
c. feets
Step-by-step explanation:
we would a small text, or give us a picture so we can read it, then we can answer this question, without it, I'd have to guess
what is the area of a rectangle if 1 base is 14 in, the 2nd base is 3.5 in and the height is 8 in?
Check the picture below.
notice, we have three pair of sides, let's add them all up to get the area
[tex]\stackrel{\textit{left and right}}{2(8\cdot 14)}+\stackrel{\textit{front and back}}{2(3.5\cdot 8)}+\stackrel{\textit{top and bottom}}{2(3.5\cdot 14)}\implies 378~in^2[/tex]
Select the correct answer from each drop-down menu.
The graph of g(x) is shown.
The graph of h(x) = g(x + 5) has
and
.
The function h(x) has a horizontal asymptote at y=5 and the vertical asymptote is x=-2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, h(x)=g(x+5.
Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k.
Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k.
Here, the horizontal asymptote is 3, and the vertical asymptote is -2
The graph of h(x) = g(x+5) had a horizontal asymptote at y=5 and the same vertical asymptote as function g(x).
Therefore, the function h(x) has a horizontal asymptote at y=5 and the vertical asymptote is x=-2.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
Please answer all these question
Answer:
it's 10.00 because I used a calculator
Find the distance between points A(−1, 5) and B(0, 4) to the nearest tenth.
Answer:
1.4
Step-by-step explanation:
Use the distance formula
d= √(x2-x1)² +(y2-y1)² , where x1, x2, y1, y2 are the coordinates of the points
A(x1 = −1, y1 = 5) and B(x2 = 0, y2 = 4)
d= √(0 - -1 )² +(4 - 5)²
d= √(1)² +(-1)²
d= √2
d= 1.414213562, round to the nearest tenth
d≈ 1.4
Can someone please explain this to me please?
Will give brainly if you actually answer the question
Answer:
Step-by-step explanation:
24)
3x - 10 > 2
3x - 10 + 10 > 2 + 10
3x > 12
3x/3 > 12/3
x > 4
5x - 15 < -5
5x - 15 + 15 < -5 + 15
5x < 10
5x/5 < 10/5
x < 2
B) x > 4 or x < 2
25) 1.5/60 = 12/x
x = 12(60) / 1.5
x = 480
B) 480 miles
This distance from Old Faithful to Mammoth Hot Springs is actually about 52 miles by road, so there must have been MASSIVE number of road closures to get this result...or else their scale is incorrect. 1.5 inch to 6.0 miles would be a much more accurate scale making the distance 48 miles.
what is the value of x?
(3x-1)º
(3x-1)))))]))))))))])))))))))))))])))))))))))))))))))))))
Evaluate each expression.
12
N
3
(2511)
-
DONE
Answer:
1/5Step-by-step explanation:
[tex](25^{-3/2})^{1/3} = 25^{-3/2*1/3} = 25^{-1/2}=5^{-1/2*2}=5^{-1}=1/5[/tex]Let's evaluate the expression,
→ (25^-3/2)^1/3
→ 25^-3/2×1/3
→ 25^-3/6
→ 5^-1/2×2
→ 5^-1 {or} 1/5
Hence, the answer is 1/5.
What is the area of the figure below?
16 square units
14 square units
10 square units
12 square units
Clip 102
2
2
Standard Questions
Question Progress
Two families go to a zoo.
The Smith family of two adults and three children pay £66.
The Jones family of three adults and five children pay £105.
Work out the cost of an adult ticket and the cost of a child ticket.
In your working, let 'a'stand for an adult ticket and 'C'stand for a child ticket.
Answer:
Let's solve your system by elimination.
2a + 3c =66 ; 3a + 5c = 105
Multiply the first equation by 5,and multiply the second equation by -3.
5 (2a + 3c = 66)
−3 (3a + 5c = 105)
Becomes:
10a + 15c = 330
−9a − 15c = −315
Add these equations to eliminate c:
a = 15
Now that we've found a let's plug it back in to solve for c.
Write down an original equation:
2a + 3c = 66
Substitute 15 for a in 2a + 3c = 66:
(2)(15) + 3c = 66
3c + 30 = 66 (Simplify both sides of the equation)
3c + 30 −30 = 66 −30 (Add -30 to both sides)
3c = 36
3c3= 363 (Divide both sides by 3)
c = 12
Answer:
a = 15 and c = 12
A corporation recently sold zero-coupon $400 bonds maturing in 4 years with an annual yield of 12%. Find the price. [Hint: The price is the present value of $400 4 years from now at the stated interest rate.] (Round your answer to the nearest cent.)
Answer:
Step-by-step explanation:
400*1.12^-4= 254.2072314