Let the three items be M, Y and P.
n{M ∩ Y} only = 4-3 = 1
n{M ∩ P) only = 5-3 = 2
n{ Y ∩ P} only = 2
n{M} only = 12-(1+3+2) = 6
n{Y} only = 10-(1+2+3) = 4
n{P} only = 14-(2+3+2) = 7
n{M∩P∩Y} = 3
Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.
3. Si al doble de un número se le resta su mitad resulta 30. ¿Cuál es el número? Plantear ecuación y resolverla
Respuesta:
2x - 0.5x = 30
x = 20
Explicación paso a paso:
Llamemos "x" a la incógnita, el número desconocido.
Cuando nos referimos al doble de un número, es lo mismo que 2x.
Cuando nos referimos a la mitad de un número, es lo mismo que 0.5 x.
Consideremos que al doble de un número (2x) se le resta su mitad 0.5x) y se obtiene 30. La ecuación resultante es:
2x - 0.5x = 30
1.5x = 30
x = 30/1.5 = 20
Question 2
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area?
Answer
F ) It will increase by 12 square feet.
G )It will decrease by 12 square feet.
H )
It will increase to 39 square feet.
J )
It will decrease to 12 square
feet.
Answer:decrease by 12 feet
Step-by-step explanation:I did the math
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, the new area will be decreased by 12.
How does the area of a rectangle, and its length and width related?The area of a rectangle is the product of its length and width.
If a rectangle has a length L units and a width of W units, then
Area = L × W squared units.
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area.
Area = L × W
Let the length and width are x and y
27 = x × y
xy = 27
The new area if its length and width are changed to 2/3 of their original size
Area = L × W
[tex]27 \times 2/3 \times 2/3\\\\= 3 \times 4\\\\= 12[/tex]
Therefore, the new area will be decreased by 12.
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The selling price of a fan excluding VAT is Rs 1250. It is given that the VAT rate is 15 %. Find the price of the fan inclusive of VAT.
Answer:
Rs 1,437.5
Step-by-step explanation:
VAT = 15% = 15/100 × Rs 1250 = Rs 187.5
the price inclusive of VAT = Rs 1,250 + Rs 187.5
= Rs 1,437.5
what is the range if the domain is???
help!! don’t know how to do it
Answer:
cot(x) + sec(x)
Step-by-step explanation:
[tex]\frac{(cos(x)+tan(x))}{sin(x)} \\\\\csc(x) = \frac{1}{sin(x)} \\\\csc(cos(x)+tan(x))\\\\(csc(x))(cos(x))= cot(x)\\\\(csc(x))(tan(x))=sec(x)\\[/tex]
Therefore, the expression equivalent to [tex]\frac{(cos(x)+tan(x))}{sin(x)}[/tex] is cot(x) + sec(x).
Which point justifies the shaded area by satisfying StartFraction x squared Over 16 EndFraction
+ StartFraction y squared Over 4 EndFraction less-than-or-equal-to 1? (1, 1) (4, 1) (-1, 2) (2, -2)
Answer:
A
Step-by-step explanation:
Edge 2021
The point justifies the shaded area is (1, 1).
What is Equation of Ellipse?Thus, the standard equation of an ellipse is x²/ a² + y²/ b² = 1.
This equation defines an ellipse centered at the origin. If a > b , the ellipse is stretched further in the horizontal direction, and if b > a , the ellipse is stretched further in the vertical direction.
Given:
x²/ 16 + y²/ 4 ≤ 1
As, the given equation is in the form of an ellipse is x²/ a² + y²/ b² = 1.
Now, when we plot the Equation in the graph we get the elliptical shape.
From the given point the point which lies inside the graph is (1, 1).
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Simplify this expression.
(2+3)65-7
Answer:
Make me Brainliest
Step-by-step explanation:
=5*65-7
=325-7
=318
What is another name for 22?
You can rule out both EGF and GEF because they are representing another segment of the graph.
The answer should be DGE. If you use DGE to draw a triangle starting from the first letter (D) and then go to E and then G, then E will be in the middle.
I was taught that the middle letter of any sequence of letters is the angle of said sequence because line DG and line GE connect to form it.
What is the answer to the photo down below
Answer:it's A
Step-by-step explanation:
I need help with this problem
Answer:
D
Step-by-step explanation:
1. You and your friend mix water and citric acid. You add 3 cups of citric acid for every
16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose
mixture is more acidic?
Answer:
Mine will be more acidic
Step-by-step explanation:
16 cups × 12 cups
192 cups
For me: 3 citric acid every 3 cups
192÷16= 12
12×3= 36
Friend:
192÷12=16
16×2=24
On the Unit Circle:
If cos x < 0 which Quadrant(s) is the angle?
1. I &IV
2. II & III
3. I &II
4. III & IV
Answer:
Quadrant I and quadrant IV
Step-by-step explanation:
Given that cos x< 0
x < arccos 0
x < 90degres
Since cos s positive in the first and 4th quadrant, hence the angle lies in the Quadrant I and quadrant IV
0.6×8 and tell me how you got the answer pls
[tex]0.6 \times 8[/tex]
Answer:
4.8 is the answer!
Step-by-step explanation:
0.6 x 8 = 4.8
6 x 8 = 48
multiply 6 by 8, and move the decimal to the left one time, and get 4.8
Answer: 4.8
Step-by-step explanation: multiply 6*8 (which is 48) then move the decimal point one forward from the back
48.0 (this is before you move the point)
4.8 (this is after)
basically depending on how much numbers you have after the decimal point, that's how much you move forward!
Let me know if you have more questions!
Good luck!
What is the value of of y in the equation -3y+11=20
Answer:
Step-by-step explanation:
-3y+11=20
-3y=20-11
y=9/-3
y=-3
Answer:
y = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-3y + 11 = 20
Step 2: Solve for y
[Subtraction Property of Equality] Subtract 11 on both sides: -3y = 9[Division Property of Equality] Divide -3 on both sides: y = -3What slope does a horizontal line have? Use a number to fill in the blank
C
y
0
5
1
1
20
2
80
3 320
Answer:
yes
Step-by-step explanation:
A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in days.
Answer:
The substance half-life is of 4.98 days.
Step-by-step explanation:
Equation for an amount of a decaying substance:
The equation for the amount of a substance that decay exponentially has the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which k is the decay rate, as a decimal.
k-value of 0.1392.
This means that:
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
Find the substance's half life, in days.
This is t for which [tex]A(t) = 0.5A(0)[/tex]. So
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]
[tex]e^{-0.1392t} = 0.5[/tex]
[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]
[tex]-0.1392t = \ln{0.5}[/tex]
[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]
[tex]t = 4.98[/tex]
The substance half-life is of 4.98 days.
What is the arc length of PQ?
Answer:
43.9823
Step-by-step explanation:
[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]
Help pls
Bshdndbrjdhbdbdhdjd
Answer:
just function A
A is, for every 2x (2 steps) the value of y increased linearly by 2.5
B isn't, for every 10x (10 steps), the increase of y varies
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Step-by-step explanation:
y = x + 2
X. Y
3. 5
4. 6
5. 7
6. 8
Based on this table, the graph that best represents the table is the one on the right.
Please help me ASAP And show work please
Answer:
X = 11
Step-by-step explanation:
3^(x-7) = 81
Find what exponent makes three into 81
The answer: x = 11
Answer:
x = 11
Step-by-step explanation:
Given
[tex]3^{x-7}[/tex] + 4 = 85 ( subtract 4 from both sides
[tex]3^{x-7}[/tex] = 81
[tex]3^{x-7}[/tex] = [tex]3^{4}[/tex]
Since the bases on both sides are equal, both 3 then equate the exponents
x - 7 = 4 ( add 7 to both sides )
x = 11
I need an Answer Immediately pls!!!!!!!!!
Answer:
2,033-993.50= 1039.50/74.25= 14
Step-by-step explanation:
not sure the exact equation but p would be 14 and you'd do something similar to that shown above
Can someone help me please
Answer:
51
Step-by-step explanation:
The range is the largest number minus the smallest number
The largest number is 54 and the smallest number is 3
54-3 = 51
Simplify expression and can you explain how
Answer: 64r^36
Step-by-step explanation:
On picture below
Ted left at 8:00 a.m to walk to the dog park. It took him 30 minutes to get there.
what time did ted get to the dog park?
Answer:
8:30 am
Step-by-step explanation:
Answer:
8:30 a.m
Step-by-step explanation:
8:00
+ 30
_____
8:30 a.m
what is the value of x, if x = 3²
Show Explanation
A. 32
B. 9
C. 8
D. 6
Answer:
9
Step-by-step explanation:
x = 3^2
x = 3*3
x = 9
Answer: . 9
Step-by-step explanation:
Simplify both sides of the equation.
SOMEONE HELP ME WITH 13 and 14 please!!!! Will make
U brainlist!!!
Answer:
here u go
Step-by-step explanation:
and here is 8 and 9
What is the equation
in slope-intercept
form of the line that
passes through the
points (20,-25) and
(-8, -11)?
Answer:
y = -1/2x - 15
Step-by-step explanation:
y2 - y1 / x2 - x1
-11 - (-25) / -8 - 20
14 / -28
= -1/2
y = -1/2x + b
-11 = -1/2(-8) + b
-11 = 4 + b
-15 = b
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.505 cups of sugar. How many batches of cookies can I make?
Answer:
about 22 batches
Step-by-step explanation:
5.505 divided by .25
Answer:
4.6
Step-by-step explanation:
0.25+5.505=4.6 so that is the answer if you dont get it right me get it right because i just get ir on my test
if the product of any two rational numbers is 2 and one of them is 1/7, find the other
Answer:
14
Step-by-step explanation:
1/7*X=2
X=2/(1/7)
X=2*7
X=14
➪ Product of two rational numbers = 2
➪ One of the number = [tex] \frac{1}{7} [/tex]
To find:-➪ The other number.
[tex]\huge{\boxed{\boxed{\tt{\purple{Solution\:⤵}}}}}[/tex]
[tex]\sf\blue{The \:other \:number \:is\: 14.}[/tex] ✅
Step-by-step explanation:-❥ Let the other number be [tex]x[/tex].
❥ As per the question, we have
[tex]product \: of \: two \: rational \: numbers \: = 2 \\ ⇢ \frac{1}{7} \times x = 2 \\ ⇢ x = 2 \times 7 \\ ⇢ x = 14[/tex]
[tex]\sf\red{Therefore,\:the\:other\: number\: is\: 14.}[/tex]
To verify:-[tex] \frac{1}{7} \times 14 = 2 \\➪ \: \frac{14}{7} = 2 \\ ➪ \: 2 = 2\\ ➪ \: L. H. S. = R. H. S.[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]