Answer:
3124/999
Step-by-step explanation:
x = 3. 127 127 ....... -------------(I)
127 -----> 3 digits are repeating. so multiply both sides by 1000
(I)*1000 1000x = 3127.127127......
x = 3.127127...... [Now subtract}
999x = 3124
x = 3124/999
Details
A movie theater has a seating capacity of 205. The theater charges $5.00 for
children, $7.00 for
students, and $12.00 of adults. There are half as many
adults as there are children. If the total ticket sales was $ 1482, How many
children, students, and adults attended?
Answer:
94 children, 64 students, and 47 adults attended the movie theater.
Step-by-step explanation:
Let; a be for adults, s for students, and c for children.
Make a system to solve for the amount of people.
c/a = 2
a + 2a + s = 205
3a + s = 205
Simplify.
s = 205 - 3a
s = 205 - 3a
c = 2a
Plug it in.
5c + 7s + 12a = 1482
10a + 7(205 -3a) + 12a = 1482
10a + 1435 - 21a + 12a = 1482
a + 1435 = 1482
a = 47
Substitute.
c = 2(47)
c = 94
Solve.
s = 205 - 3(47)
s = 64
A sum of money earns the interest ar the rate of Rs. 5 per Rs.25 in a year. how many years would it trible itself?
a. 5
b. 10
c.15
d. 20
Which overlapping triangles are congruent by ASA?
B.
3
Select one:
O a.
AABE , ADEA
O b. AADC AEDA
O c.
AABE & ACDA
O d.
AADC AEBC
ya
Answer:
D. ADC EBC
Step-by-step explanation:
cb & cd have that little line showing they're the same
A saline solution has a weight of 1.12 kg per liter. What is the weight of the saline solution of 0.75 l?
Answer:
0.84 kg
Step-by-step explanation:
Given that :
Weight per liter = 1.12kg per liter
That is 1 Litre weighs 1.12 kilogram
The weight of saline solution of 0.75 Litre will be :
1 Litre = 1.12 kg
0.75 Litre = x
Cross multiply :
1 * x = 1.12 * 0.75
x = 0.84 kg
Hence, 0.75 Litre weighs 0.84 kg
Find the other endpoint of the line segment with the given endpoint and midpoint. Round to the
nearest tenth.
Endpoint (-5, 4) Midpoint (-10, 6)
What’s the answer 3y+5<10
Answer:
y < 5/3
Step-by-step explanation:
3y + 5 < 10
Let's subtract 5.
3y < 5
Okay. We have something manageable. Let's divide by 3.
y < 5/3
That's our answer.
Divisor mayor común de 28 y 48
Answer:
mcd(28,48) = 4
Para encontrar el mcd de 28 y 48:
Los factores de 28 son 28, 14, 7, 4, 2, 1.
Los factores de 48 son 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.
Los factores en común de 28 y 48 son 4, 2, 1, los cuales intersectan los dos conjuntos arriba.
En la intersección de los factores de 28 ∩ factores de 48 el elemento mayor es 4.
Por lo tanto, el máximo común divisor de 28 y 48 es 4.
Find the area of the kite
Answer:
the area to the kite is sixty-four
Step-by-step explanation:
multiply the width to the height
Math the following measurements
Answer:
UI=45
AQ=115
QZI=175
QYU=65
Can someone help with questions 9-16
OMG HELP NOW PLZZ <3
Answer:
I think it would be Maxine's, since they did more tests.
Which rates are equal? Choose 2.
A. 630 miles per 9 hours
B. 1,320 miles
per 24 hours
C. 1,170 miles per 18 hours
D. 455 miles per 7 hours
E. 840 miles per 14 hours
Answer:
C. 1170 miles per 18 hours
D. 455 miles per 7 hours
Step-by-step explanation:
1170/18=65
455/7=65
Who is sometimes referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data
Answer: John Graunt
Step-by-step explanation:
John Graunt is referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data.
He's regarded as the founder of demography which is the statistical study of the population of human beings.
a pair of integers whose sum is -12
There can be infinitely many pair of integers that have the sum -12.
Example:
1. (-24), (12)
2. (-10), (-2)
3. (-12), (0)
Answer:
Multiple pairs.
Step-by-step explanation:
There are a lot of solutions to this problem. For example:
(-24)+12
(-36)+24
(-48)+36
and so forth.
stackrel(harr)(AB) is perpendicular to 'stackrel(harr)(CD)'. How many
90° angles are formed by the intersection?
Answer:
4.
Step-by-step explanation:
A line AB is perpendicular to the line CD.
As shown in the diagram, there are four angles which measures 90°.
if p:q=1:2 and q:r=4:3,find p:q:r
Answer:
2:4:3
Step-by-step explanation:
To Find :-
p : q : r .Solution :-
By question ,
→ p :q= 1:2
→ q : r = 4 :3
Therefore ,
→ p/q × q/r = 1/2 × 4/3
→ p/r = 2/3
Again ,
→ p = 1/2q
→ r = 3/4 q
Henceforth ,
→ p : q : r
→ 1/2 q : q : 3/4q
→ 4/2q : 4q : 12/4 q
→ 2 : 4 : 3
Find the value of y in 4y + 2x = 8 and 2x + 5y = 14.
8
- 6
6
-8
Solve the inequality and express your answer in interval notation
x^2 - 12x + 3 <0
Answer:
x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )
Step-by-step explanation:
I have attached the explanation on the image above, hopefully this help
if a third plane could be drawn which contains both lines a and b .
Answer:
must be parallel
Step-by-step explanation:
They must be parallel.
How do I work this out??
Answer:
quarter 2/ 5
Step-by-step explanation:
Which statement about these two restaurant meals is correct? A. Neither meal contains any nutrients. B. Meal A is the more healthful choice. C. Meal B is the more healthful choice. D. Both meals are healthful choices.
Answer:
D. Both meals are healthful choices
A group of friends wants to go to the amusement park. They have no more than $365 to spend on parking and admission. Parking is $16.25, and tickets cost $38.75 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
Inequality: [tex] 38.75p + 16.25 \le 365 [/tex]
Solution: [tex] p \le 9 [/tex]
Step-by-step explanation:
Let p = number of people.
Ticket for 1 person: $38.75
Tickets for n people: 38.75p
Parking: $16.25
[tex] 38.75p + 16.25 \le 365 [/tex]
[tex] 38.75p \le 348.75 [/tex]
[tex] p \le 9 [/tex]
Answer
380≥20.75p+15.5
Step-by-step explanation:
good luck
A summer camp basketball coach is hired to work 10 hours per week. During a really busy first week, they were required to work 15 hours. What percentage of time did they work during the busy week? Show your work.
Answer:
150%
Step-by-step explanation:
15 / 10 =
1.5 =
150%
3x
2x
x + 30
The diagram shows a triangle.
The sizes of the angles, in degrees, are
3x
2x
x + 30
Work out the value of x
Answer:
x = 25°
Step-by-step explanation:
3x + 2x + x + 30° = 180°
6x + 30° = 180°
6x = 150°
x =25°
=> 3x = 25 * 3 = 75°
=> 2x = 25 * 2 = 50°
=> x + 30° = 25° + 30° = 55°
Completing the Square
Guided Practice
Solve the equation by completing the square. If necessary, round to the nearest hundredth.
2x2 - 10x - 20 = 8
A. 27 - 27
B. 7
C.7, -2
Answer:
C.7, -2
Step-by-step explanation:
A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:
ax² + bx + c = 0; where a, b, c are constants.
Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.
Solving the equation 2x² - 10x - 20 = 8 using completing the square:
2x² - 10x - 20 = 8
2x² - 10x = 28
Divide through by 2, to make the coefficient of x² to be 1:
x² - 5x = 14
Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]
x² - 5x + 6.25 = 14 + 6.25
(x - 2.5)² = 20.25
taking square root of both sides:
x - 2.5 = √20.25
x - 2.5 = ±4.5
x = 2.5 ± 4.5
x = 2.5 + 4.5; or x = 2.5 - 4.5
x = 7 or x = -2
Find the domain of the following piecewise function.
Answer:
[tex](2,8][/tex]
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
[tex]2 < x < 4[/tex] [tex]4 < x < 8[/tex] and [tex]x \ge 8[/tex]
Combine the first two inequalities:
[tex]2 < x < 8[/tex] and [tex]x \ge 8[/tex]
For the inequality to be true, we must have:
[tex]2 < x \le 8[/tex]
In interval notation, the inequality is:
[tex](2,8][/tex]
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a side of the water tank.
Given:
Volume of cubical tank = [tex]\dfrac{1000}{125}[/tex] cubic meters.
To find:
The length of a side of the water tank.
Solution:
The volume of a cubical tank is:
[tex]V=a^3[/tex]
Where, a is the side length.
It is given that the volume of cubical tank is [tex]\dfrac{1000}{125}[/tex] cubic meters. So,
[tex]a^3=\dfrac{1000}{125}[/tex]
[tex]a^3=\dfrac{(10)^3}{5^3}[/tex]
Taking cube root on both sides, we get
[tex]a=\dfrac{10}{5}[/tex]
[tex]a=2[/tex]
Therefore, the length of a side of the water tank is 2 meters.
Hallar el interés producido por un capital de /240a una tasa de interés del 30% anual prestados durante un tiempo de 2 años
Answer:
The interest for the two years is 144.
Step-by-step explanation:
Hallar the interest produced by a capital of /240 to an annual interest rate of 30% provided for a period of 2 years
Principal, P = 240
Interest, R = 30 %
Time, t = 2 years
The simple interest is given by
[tex]I = \frac{P\times R\times T}{100}\\\\I = \frac{240\times 30\times 2}{100}\\\\I = 144[/tex]
which of the following is most likely the next step in the series?
Answer:
A
Step-by-step explanation:
i think its a because they keep adding a side (or a line)
What is the scale factor from ABC to DEF?
Within similar triangles, the angles are the same. So, we need to look at the side lengths then.
72 to 12
66 to 11
42 to 7
In each pair of corresponding side lengths, the original side length from triangle ABC is divided by 6 (or multiplied by 1/6) to get the smaller side length on triangle DEF.
The scale factor from ABC to DEF is 1/6.
Hope this helps!
