In one building, an elevator takes 15 seconds to go up 5 floors.
In another building, an elevator goes up for 60 seconds at the
same rate. How many floors did the elevator in the second
building travel?

Answer:

9

Step-by-step explanation:

according to the condition it is possible to make up a system of two equations (if to suppose 'l' - the larger number and the 's' - is the smaller one):

1. 'two numbers have a sum of 7' means s+l=7;

2. 'When the smaller number is subtracted from twice the larger number, the result is 20' means 2*l-s=20.

3. the system of two equations is:

[tex]\left \{ {{s+l=7} \atop {2l-s=20}} \right. \ => \left \{ {{s=-2} \atop {l=9}} \right.[/tex]

4. the larger number is 9.

The larger number would be as follows:

[tex]9[/tex]

Let the two numbers (larger and smaller) be [tex]= x ; y[/tex] respectively.

[tex]x + y = 7[/tex]

So, [tex]y = 7 - x[/tex]

Given that,

The Smaller number subtracted from twice large number gives 20. Thus,

[tex]2x - y = 20[/tex]

Putting the value of [tex]y, 2x - (7 - x) = 20[/tex]

[tex]2x - 7 + x = 20[/tex]

[tex]3x - 7 = 20[/tex]

[tex]3x = 27[/tex]

[tex]x = 27 / 3[/tex]

∵ [tex]x = 9[/tex] [The larger Number]

The smaller number [tex]'y' = 7 - 9 = -2[/tex]

To learn more about 'variables' solving,' refer here:

brainly.com/question/137440

Answer:

a. – 4 or –3

b. –4 or –2

c. 4 or –3

d. 7 or 4

Step-by-step explanation:

To factorize the above expression, multiply the first and last term together, then find two factors of the result such that their sum will result to the middle term of the expression.

Now, we shall give the answers to the question.

a. x² + 7x + 12 = 0

x² + 3x + 4x + 12 = 0

Factorise

x(x + 3) + 4(x + 3) = 0

(x + 4)(x + 3) = 0

x + 4 = 0 or x + 3 = 0

x = 0 – 4 or x = 0 – 3

x = – 4 or –3

Therefore, the roots of the equation are – 4 or –3

b. t² + 6t + 8 = 0

t² + 2t + 4t + 8 = 0

Factorise

t(t + 2) + 4(t + 2) = 0

(t + 4)(t + 2) = 0

t + 4 = 0 or t + 2 = 0

t = 0 – 4 or t = 0 – 2

t = –4 or –2

Therefore, the roots of the equation are –4 or –2

c. 2n² – 2n – 24 = 0

Divide through by 2

n² – n – 12 = 0

n² + 3n – 4n – 12 = 0

Factorise

n(n + 3) – 4(n + 3) = 0

(n – 4)(n + 3) = 0

n – 4 = 0 or n + 3 = 0

n = 0 + 4 or n = 0 – 3

n = 4 or n = –3

Therefore, the roots of the equation are 4 or –3

d. y² – 11y + 28 = 0

y² – 4y – 7y + 28 = 0

Factorise

y(y – 4) – 7(y – 4) = 0

(y – 7)(y – 4) = 0

y – 7 = 0 or y – 4 = 0

y = 0 + 7 or y = 0 + 4

y = 7 or 4

Therefore, the roots of the equation are 7 or 4.

Answer:

Step-by-step explanation:

12 + 4b = 72

Subtract 12 on both sides

4b = 60

b = 15

Answer:

2029jjajvdjsjsvdghsjsjbs

Answer:

Answer:

Step-by-step explanation:

Thanks for free points!

Answer:

3 2/5

I converted these into decimals, because I find it easier ^.^

We have an 8 feet board, and we twice remove 2 1/3 from that number.

8 - 2 1/3 = 5.7

5.7 - 2 1/3 = 3.4 or 3 2/5

~Hope this helps~

Answer:

The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164

Step-by-step explanation:

Let,

The number of unqualified applicants are interviewed before finding the fourth qualified applicant = x

So,

X be the negative Binomial (n = 4 , P = [tex]\frac{20}{100} = 0.2[/tex] )

As , we know that

P(X = n ) = ⁿ⁺⁴⁻¹Cₙ × (1 - 0.2 )⁴ × (0.2)ⁿ  for n = 0, 1, 2, ....

As we have to find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant

⇒n = 2

∴

P(X = 2 ) = ²⁺⁴⁻¹C₂ × (1 - 0.2 )⁴ × (0.2)²  for n = 0, 1, 2, ....

               = ⁵C₂ × (0.8 )⁴ × (0.2)²  

               = [tex]\frac{5!}{2! (5-2)!}[/tex] × 0.41 × 0.04

               = [tex]\frac{5.4.3!}{2.1! (3)!}[/tex] × 0.0164

               = [tex]\frac{5.4}{2}[/tex] × 0.0164

               = 10 × 0.0164 = 0.164

∴ we get

The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164

9514 1404 393

Answer:

  a = 14.9

  b = 11.1

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

In this triangle, that means ...

  sin(48°) = b/a

  cos(48°) = 10/a

Using the cosine relation, we can find 'a':

  a = 10/cos(48°) ≈ 14.9

Then using the sine relation, we have ...

  b = a·sin(48°) ≈ 11.1

_____

Additional comment

When computing 'b', the full precision value of 'a' should be used.

Answer:

area=150cm square

Step-by-step explanation:

l=3 cm ,b=5m=50cm

area of rectangle=3×50

area=150cm square

Answer:

We know,

Area of triangle = 1/2 * b * h

= 1/2 * 2x * 3x

= 1/2 * 6x

= 3x

Hope it helped

All the best !!

The area of the given triangle is 3x².

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given a triangle.

Area of a triangle can be found using the formula,

Area = [tex]\frac{1}{2}[/tex] × base × height

Given,

Base = 3x and height = 2x

So using the formula,

Area = [tex]\frac{1}{2}[/tex] × 3x × 2x

        = 3x × x

        = 3x²

Hence the area of the triangle is 3x².

Learn more about Area of Triangle here :

https://brainly.com/question/27683633

#SPJ2

Answer:

The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]

Step-by-step explanation:

Roots of a quadratic equation:

The roots [tex]r_1[/tex] and [tex]r_2[/tex] of a quadratic equation in the following format:

[tex]ax^2 + bx + c = 0[/tex]

Can be given by:

[tex]r_1 + r_2 = -\frac{b}{a}[/tex]

[tex]r_1r_2 = \frac{c}{a}[/tex]

In this question:

We have the following quadratic equation:

[tex]dx^2 - cx + p = 0[/tex]

So [tex]a = d, b = -c, c = p[/tex]

One of the roots is twice the other:

So [tex]r_2 = 2r_1[/tex]

First relation:

[tex]r_1 + r_2 = -\frac{b}{a}[/tex]

[tex]r_1 + 2r_1 = -\frac{(-c)}{d}[/tex]

[tex]3r_1 = \frac{c}{d}[/tex]

[tex]r_1 = \frac{c}{3d}[/tex]

Second relation:

[tex]r_1r_2 = \frac{c}{a}[/tex]

[tex]r_1*2r_1 = \frac{p}{d}[/tex]

[tex]2r_{1}^{2} = \frac{p}{d}[/tex]

[tex](\frac{2c}{3d})^2 = \frac{p}{d}[/tex]

[tex]\frac{4c^2}{9d^2} = \frac{p}{d}[/tex]

[tex]p = \frac{4c^2}{9d}[/tex]

The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]

Answer:

th correct center is in B

Answer:

879

Step-by-step explanation:

Because C is greater than A, C has to be the largest possible number so that A can be as large as possible. because C is the largest possible number, which is 9, the next largest number is 8, which in this case is A. The next biggest number is 7 which is B.

To sum it all up, the number is 879.

Answer:

2/7

Step-by-step explanation:

Hope that helps! (Brainliest please!)

Answer: 7.83 years

:)))

Answer:

1/4,5/9,6/8,4/5

Step-by-step explanation:

Answer:

E and F

Step-by-step explanation:

✔️One of the angles of the triangle given has a measure that is above 90° (120°). An obtuse triangle triangle has an angle measure that is above 90°. Therefore, the triangle above is an obtuse triangle.

✔️All three angles and sides are of unequal measure, therefore, this can be referred to as a scalene triangle. A scalene triangle has 3 unequal angles.

Answer:

E F

Step-by-step explanation:

Answer:

Era is x and number of wins is y

Edit: I would go up by two's on the y axis and .5 on the x axis

Answer:

263 ft

Step-by-step explanation:

Because the field is 263 feet long he is not running wide

it is already rounded hope this helps

Answer:

620 milliliters

Step-by-step explanation:

1 milliliter= 0.001 liters

0.62L= move the decimal point 3 places to the left

0.62

06.2

062.

0620.

620 milliliters

Answer:

B, I think that's the answer

Answer:

y=9

Step-by-step explanation:

6y=79-25

= 6y= 54

= y=54/6

= y= 9

Answer

Step-by-step explanation:

 yl grafica

Answer:

The slope would be -7

Step-by-step explanation:

To find the slope, you find two points on a line and find the difference between x-values and y-values. Then divide the difference of y-values by the difference of x-values to acquire the slope. [tex]\frac{8-1}{-4+3}[/tex] = [tex]\frac{7}{-1}[/tex] or -7, so that would be the slope.

Answer:

15

Step-by-step explanation: I believe that's the answer because the hypotenuse in a 30 60 90 is x2 and 15x2=30

Answer:

15

Step-by-step explanation:

Answer: 1296π

Step-by-step explanation:

To find the surface are if a square, we have to use the formula:

= 4πr²

= 4 × π × 18²

= 4 × π × 324

= 1296π

Therefore, the surface area of the sphere is 1296π

Answer:

C

Step-by-step explanation:

I did the test right

Answer:

Papa Ron's

Step-by-step explanation:

:)

Answer:

1/5(a+b)

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.

Answer:

A 60% chance

Step-by-step explanation: