Respuesta: El noveno piso costara $16 millones
Solucion:
El primer piso costara $12 millones y cada piso sucesivamente al segundo $500,000 mas que el piso precedente.
Esta es una progresion aritmetica, porque cada valor se obtiene sumandole al valor anterior un valor constante que es la razon "r". En este caso la razon es:
r=$500,000
Que en millones de dolares es:
r=$0.5 millones
Tenemos el primer valor: El primer piso costara $12 millones:
a1=$12 millones
Y necesitamos el costo del noveno piso, o sea el noveno valor: a9=?
Tenemos esta formula para calcular el valor de un termino cualquiera "an" de una progresion aritmetica, conociento el primer termino de la misma:
an=a1+(n-1)r
En este caso n=9, entonces sustituyendo en la formula anterior:
a9=a1+(9-1)r
a9=a1+8r
Reemplazando los valores dados en la formula de arriba:
a9=$12 millones+8($0.5 millones)
a9=$12 millones+$4 millones
a9=$16 millones
how can you do this
You add up all of the sides and the numbers that are there you pretend that they are on the other side and just add all of them up correctly and you will get your answer.
You multiply them.
4 x 4 x 3 = 48
3 x 2 x 6 = 36
a slot machine has one to nine odds of winning a prize on any given play. what is the probability of a win?
The chance of winning is 1/9
-2/3(1/2)(-6/7)= answere is ?
Exact Form: 2/7
Decimal Form:0.285714 (this is also a repeating decimals)
I need help again PLEASE
Number 3: D
Number 4: C
Which lines or segments are parallel? Justify your answer
B and E with C and G
Find the slope of the linr through the given points.
(-3,-11) and (1,1)
y2-y1 / x2-x1
1 + 11 / 1 + 3
12 / 4
3 is the slope
Please help answer the two questions in the photo
The given pentagon can be divided into two figures : a triangle and rectangle as shown in figure.
Let us find area of each figure separately.
Triangle:
Area of triangle is given by:
[tex]A=\frac{1}{2}*b*h[/tex]
where b=base and h=height
Height of triangle :
h=(3x+5)-(2x+1)
h=x+4
Base = 2x-2
[tex]A=\frac{1}{2}*(x+4)(2x-2)[/tex]
Area of triangle= (x-1)(x+4) = x²+3x-4
Area of rectangle:
Area of rectangle is given by:
A=l*b
[tex]A=(2x-2)(2x+1)[/tex]
Area of rectangle = 4x²-2x-2
Area of pentagon = Area of triangle + Area of rectangle
Area of pentagon = x²+3x-4 + 4x²-2x-2
Area of pentagon = 5x²+x-6
If area of pentagon is 42 cm², then solving for x,
[tex]42=5x^{2}+x-6[/tex]
[tex]5x^{2}+x-48=0[/tex]
Factorising to get x,
x=-3.2 and x=3
If we take x as negative the side will be negative, so we neglect x=-3.2
So x=3 is the answer.
The minute hand of a clock is 8 inches long and moves from 12 to 8 o’clock. How far does the tip of the minute hand move?
The minute hand is like an eight inch radius of a circle, whose circumference would equal 2 * PI * 8 = 50.265 inches. By moving to 8 o'clock, it travels 2/3 of the circumference or 50.265 * 2/3 = 33.510 inches
if the minute hand is 8 inches long, it shows the radius of the circle of the clock.
thus, the circumference of the circle (boundary)= 2πr
= 2X 3.14 X 8 ( wherein, r= radius= 8; π= 22/7 or 3.14)
= 50.27 inches.
The length between each two consecutive no.s on the clock = 50.27/12 = 4.19
Thus, the length moved n=by the tip of the minute hand= 4.19X8
= 33.44 inches
Hope that this would be correct .
What does x equal if 6-4x=7x-9x-4
x= 5
Slove for x by simplifying both sides of the equation, then isolating the variable
Hey there!!
Given equation :
... 6 - 4x = 7x - 9x - 4
Combining like terms :
... 6 - 4x = - 2x - 4
Adding 4x on both sides :
... 6 = 2x - 4
Adding 4 on both sides :
... 2x = 10
Dividing by 2 on both sides :
... x = 5
Hence, the value of x is 5.
Hope my answer helps!!
In his last game,the Rams' quarterback completed 10 out of 18 passes he threw. At this rate how many passes will he attempt if he completes 15 passes?
at this rate, he will have attempted 27 passes. we can find this by setting the problem up into a proportion: 10/18=15/?
once we solve the proportion, we get that he attempted 27 passes in order to complete 15
Final answer:
To solve for the number of passes the quarterback will attempt to complete 15 passes, we set up a proportion based on the completed 10 out of 18 passes. By cross-multiplying and solving for the unknown, we find that the quarterback would need to attempt 27 passes.
Explanation:
The question is asking us to find out how many passes the Rams' quarterback will attempt if he is to complete 15 passes, given that he completed 10 out of 18 passes in his last game. This is a proportion problem in mathematics where we set up a ratio of completed passes to attempted passes and solve for the unknown.
We know the quarterback completed 10 passes out of 18 attempts, so the ratio of completed to attempted passes is 10/18. If we want the quarterback to complete 15 passes, we can set up the proportion as:
10/18 = 15/x
where x represents the number of passes that the quarterback will attempt. To solve for x, we cross-multiply:
10(x) = 18(15)
x = (18(15))/10
x = 27
Therefore, the quarterback will have to attempt 27 passes to complete 15 passes at the same completion rate.
you have violin lessons every forth day and singing lessons every fifth day.Today you have both lessons .In how many days will you have both lessons on the same day again?
Answer:
every 20 days
Step-by-step explanation:
What does 3.12 + (-8.5) equal
3.12 + (-8.5) = 11.62
Hello there!
Answer: ⇒⇒⇒⇒⇒-5.38
Step-by-step explanation:
First, remove parenthesis.
[tex]3.12-8.5[/tex]
Then, subtract by the number.
[tex]3.12-8.5=-5.38[/tex]
[tex]=-5.38[/tex]
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Jason earns $196 each week bagging groceries at a store he saves have his have his earnings each week how much money does Jason save per week
Unclear question, have is have?
Jayson saves $98 per week because half of 196 is 98. (196 divided by 2 = 98)
What is the quotient (3x2 + 4x − 15) ÷ (x + 3)? (1 point)
Answer:
the answer is 3x-5
Step-by-step explanation:
break the expression in to groups
3x^2 + 4x -15 = (3x^2 -5x) + (9x-15)
factor out x from 3x^2 -5x: x(3x-5)
factor out 3 from 9x-15: 3(3x-5)
=x(3x-5) +3(3x-5)
factor out common terms
(x+3) (3x-5)
=((x+3) (3x-5)) / (x+3)
cancel the common factor x+3
=3x-5
The quotient for the expression is equal to 3x-5.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Break the expression into groups
3x² + 4x -15 = (3x² -5x) + (9x-15)
Factor out x from 3x^2 -5x: x(3x-5)
Factor out 3 from 9x-15: 3(3x-5)
=x(3x-5) +3(3x-5)
Factor out common terms
(x+3) (3x-5)
=((x+3) (3x-5)) / (x+3)
Cancel the common factor x+3
=3x-5
Therefore, the quotient for the expression is equal to 3x-5.
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If the ribbon cost .10 per foot, what is the total cost of the ribbon in dollar?
You can get 10 ft of ribbon for one dollar. What you need to do is divide 1 with .10 and you get 10 ft.
It seems like you may be missing some information, but:
[tex]Cost = .10x\\[/tex]
Where x is the number of feet.
Which of the following represents the sum of the series below? 4+7+10+13+16+19+22+25+28+31+34+37++40
Answer:
B
Step-by-step explanation:
Edge
2x+4≥24 how do I solve this problem
The solution for the given inequality is x ≥ 10.
InequalityAn inequality is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. The solutions for inequalities can be given by: a graph in a number line or numbers.
Therefore, it is common to the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The question gives the inequality 2x+4 ≥ 24. Thus, you should follow the next steps.
2x+4 ≥ 24
2x ≥ 24 -4
2x ≥ 20
x ≥ 10
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To solve the inequality 2x+4≥24, subtract 4 from both sides, simplify the expression, divide both sides by 2, and simplify again. The solution is x≥10.
Explanation:Let's solve the inequality 2x+4≥24. The first step is to isolate the term with x on one side. We can do this by subtracting 4 from both sides, which results in 2x ≥ 20. Next, we want to solve for x, so we divide both sides by 2: x ≥ 10. This means that x is greater than or equal to 10. lets solve step-by-step.
To solve the inequality 2x+4≥24, we need to isolate the variable x.
Step 1: Subtract 4 from both sides of the inequality: 2x+4-4≥24-4
Step 2: Simplify: 2x≥20
Step 3: Divide both sides of the inequality by 2: 2x/2≥20/2
Step 4: Simplify: x≥10
The solution to the inequality is x≥10. This means that any value of x that is greater than or equal to 10 satisfies the inequality.
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What is 412 divine by 8 but in Interpret the remainder Way please help
The answer is 51 remainder 4 because 51* 4 =408 and 412 + 4 = 412
Simplify a^2+ab-2b^2/a^2-2ab-3b^2
a4b2 + 2a4 - 12a3b - 2ab3 - 4b2
———————————————————————————————
2a2
The probability that an event will occur is fraction 9 over 10. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
Likely
Step-by-step explanation:
The answer is likely, its really close to certain but certain is 100%. Likely is the odds are for it but not confirmed.
Answer:
Likely is the answer hope this helps
Step-by-step explanation:
For the equations given below, which statement is true?
-2x=14
6x=-42
A. The equations do not have the same solution because the second equation can never be obtained when multiplying the first equation by any value.
B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3.
C. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by 3.
D. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −4.
Answer:
B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3.
Statement B is true. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Equation 1;
-2x=14
Equation2;
6x=-42
Multiply equation 2 on both sides by -3.
-2x=14
-2x×3=14×3
6x= - 42
Because the second equation can be found by multiplying both sides of the first equation by 3, the equations have the same solution.
Hence, statement B is true
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I need some tips and examples for subtracting integers. Appreciated!
one tip:
Example: 4 - (-3)
it instantly becomes positive because the negatives are close to each other as shown.
hope that helps :)
Since an integer is any whole (not fractional) number on the number line, all you have to do is move to the left however many units you're subtracting by from the point given. Say the problem is 3 - 7. This means we start at 3, and move to the left 7 units, which lands us at -4. However, if we had a problem like 12 - (- 2), the two negatives would cancel out, meaning we will move to the right 2 units on the number line, or 12 + 2, which is 14. Some other examples are:
-12 - 4, (you should get -16)
3 - 8, ( you should get -5)
16 - (- 3), ( you should get 19)
I hope these tips helped you out! I know that when I first had to subtract integers, using a number line really helped me out. Eventually, it'll just be a natural thing. :D
Hey guys can I get some help plz thanks
Explain how you can tell that two figures are congruent ?
Can u answers the rounded questions
Answer 1:
[tex]\frac{x^{2} -x+1}{x^{2} +x+1}[/tex]
Here given that, x is real that is the domain
Range of the given expression is :
[tex]\frac{1}{3} \leq y\leq 3[/tex]
Write it interval form.
[tex][\frac{1}{3},3][/tex] Option (2)
Answer 3:
[tex]\frac{11x^{2} +12x+6}{x^{2} +4x+2}[/tex]
Here domain is all real x.
Range is :
{y ∈ R : y ≤ -5 or y ≥ 3}
In interval form:
(-∞, -5] ∪ [3, ∞)
So, y can't lies between -5 to 3 Option (2)
Answer 5 :
[tex]\frac{x^{2} -3x+4}{x^{2} +3x+4}[/tex]
Here domain is :
x is real
And range is :
{y ∈ R : [tex]\frac{-1}{7}[/tex] ≤ y ≤ 7}
We see that maximum y value is 7.
So, maximum value is 7. Option (4)
Answer 6:
[tex]\sqrt{9x^{2}+6x+1 } < (2 -x)[/tex]
Solve for x .
Square both the side
9x² + 6x + 1 = 4 + x² - 4x
8x² + 10x - 3 < 0
(2x + 3)(4x - 1) < 0
2x + 3 = 0 & 4x - 1 = 0
x = [tex]\frac{-3}{2}[/tex] & x = [tex]\frac{1}{4}[/tex]
So,
[tex]\frac{-3}{2} < x < \frac{1}{4}[/tex]
x ∈ [tex](-\frac{3}{2} , \frac{1}{4} )[/tex] Option (1)
The cost of a school banquet is $75+30n, where n is the number of people attending. What is the cost for 53 people? Plz help me :))
The total cost for 53 people attending the school banquet is $1,665.
What is the cost of the school banquet for 53 people?Given the parameter:
The cost of a school banquet is expressed as:
$75 + 30n, as n is the number of people attending.
To determine the cost for 53 people attending the school banquet, you can plug the value of n (which is 53) into the given cost function:
Cost = $75 + 30n
Plug in n = 53
Cost = $75 + 30( 53 )
Cost = $75 + 1590
Cost = $1,665
Therefore, the total cost will be $1,665.
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The cable provider's "triple pay" package offers a land line, internet service, and cable TV for one fixed price. If you already have their cell phone service they offer an additional 12% off the price of the triple pay package. If the discounted price of the triple pay is $132, what is the price of the package without the discount? Pls help... WILL MARK BRAINLIEST!!!!!!!
let x be the price before the discount
If you get 12% off, then you only pay the remaining 88% (since 88%+12% = 100%). This means if you take 88% of the original price (x), then you get the final price (132)
In terms of an equation, we have,
88% of (original price) = final price
(88/100)*(x) = 132
0.88*x = 132
0.88*x/0.88 = 132/0.88 <--- divided both sides by 0.88
x = 150
--------------------------------------------
Answer: The price without the discount is $150
Check all that apply please
Answer: A & B
Step-by-step explanation:
[tex]\sqrt{5} *\sqrt{5} = \sqrt{5*5} = \sqrt{25} = 5[/tex]
LN= 6x-5 , LM= x + 7 , and MN= 3x + 20 find MN
Answer: 68
Step-by-step explanation:
LM + MN = LN
x + 7 + 3x + 20 = 6x - 5
4x + 27 = 6x - 5
-4x -4x
27 = 2x - 5
+5 +5
32 = 2x
÷2 ÷2
16 = x
MN: 3x + 20
3(16) + 20
48 + 20
68
This question is based on a principle in Mathematics called the Midpoint of a linelineline
Based on this question, the line = LNLN
To solve this question, we have the expression
LM + MN = LN
Step 1
We solve for x
Given that: LN= 6x-5 , LM= x + 7 , and MN= 3x + 20
Hence,
x + 7 + 3x + 20 = 6x - 5
Collect like terms
7 + 20 + 5 =6x - x - 3x
32 = 2x
Divide both sides by the coefficient of x = 2
32/2 = 2x/2
x = 16
The value of x = 16
Step 2
Find MN
Given that : MN= 3x + 20 and x = 16
We substitute 16 for x in MN
MN = 3(16) + 20
MN = 48 + 20
MN = 68
Therefore, the value of MN is 68.
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Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?
Can you please write a proportion with the answer?
Answer:
18 Tala.
Step-by-step explanation:
1. You have that Ming learned that the exchange rate is 6 Tala for $2. Therefore, if she exchanged $6, she would get:
[tex]\frac{6}{2}=\frac{x}{6}[/tex]
2. Now, you must solve for [tex]x[/tex], which is sthe amount of Tala:
[tex]x=\frac{(6)(6)}{2}\\x=\frac{36}{2}\\x =18[/tex]
3. Therefore, she would get 18 Tala.