1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BARSIC [14]
3 years ago
6

un automóvil recorre 90 km con 2 galones de gasolina cuantos kilómetros recorre con 11 galones de gasolina y cuantos galones de

gasolina necesita para recorrer 650 km
Mathematics
1 answer:
Mariana [72]3 years ago
7 0

Answer:

Recorrera 495 km con 11 galones de gasolina

Y necesitara 14.44 galones para recorrer 650 km

Step-by-step explanation:

k          g                                                                  k             g

90         2                                                                 90           2

x            11                                                                650         x

=(11 x 90)/2                                                              =(650x2)/90

=990/2                                                                    =1300/90

=495 km                                                                 =14.44

You might be interested in
F(x)=x^2 what is g(x)
just olya [345]

Answer:

stop spamming

Step-by-step explanation:

3 0
3 years ago
In the accompanying diagram. altitude CD is
Bogdan [553]

Answer:  √117

Step-by-step explanation:

Since no diagram present, am assuming hypotenuse AB and right angle C.  Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.

a^2 + b^2 = 22^2 (Pythagorean)

Using Pythag on two smaller triangles,

x^2 + 13^2 = a^2

x^2 + 9^2 = b^2

Substituting in first equation,

x^2 + 13^2 + x^2 + 9^2 = 22^2

x^2 = 117, so x = √117

7 0
3 years ago
The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and
Karolina [17]

Answer:

They spend at least 69.48 minutes reading the paper.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 49, \sigma = 16

For the 10% who spend the most time reading the paper, how much time do they spend?

They spend at least X minutes, in which X is the value of X when Z has a pvalue of 0.90. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 49}{16}

X - 49 = 16*1.28

X = 69.48

They spend at least 69.48 minutes reading the paper.

6 0
3 years ago
Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x^2+9 and y=2
11Alexandr11 [23.1K]

Answer:

The length of the segment AB is √48

Step-by-step explanation:

Given the two equations, the idea is to find the solution to the system

y = x² + 9

y = 2x² - 3

you can use the equality method to find the "x" and "y" of the solution.

x² + 9 = 2x² - 3 ⇒ x² - 2x² = -3 - 9 ⇒ -x² = -12 ⇒ x² = 12 ⇒ x = ±√12.

With this value we return to the original equations and replace it to find "y" values.

y = (±√12)² + 9 ⇒ y = 21

The solutions to the system are (-√12, 21) and (√12, 21). Now you need to find the distance between this points.

d= √[(x2-x1)² + (y2-y1)²] ⇒ d = √48.

The length of the segment AB is √48.

6 0
3 years ago
3. Show that a circle with equation (x−2)^2+(y+3)^2=160 has two tangent lines with equations
Pepsi [2]

Answer:

  see below

Step-by-step explanation:

A graphing calculator shows each of the lines intersect the circle in exactly one place, so is tangent.

__

Each of the given lines is written in point-slope form. Each has a slope of 1/3. We will call the point in its equation the "reference point" of each line. For the first line, it is (6, -15); for the second line it is (-2, 9).

The center of the circle is (2, -3), so the slope from the center to the reference point of each line is ...

  line 1: (-15 -(-3))/(6 -2) = -12/4 = -3

  line 2: (9 -(-3))/(-2-2) = 12/-4 = -3

These slopes are the negative reciprocal of the slope of each of the lines, so a segment from the circle center to the reference point of each line is perpendicular to the line.

__

The reference point of line 1 (6, -15) is on the circle:

  (6 -2)^2 +(-15 +3)^2 = 16 +144 = 160

The reference point of line 2 (-2, 9) is on the circle:

  (-2-2)^2 +(9 +3)^2 = 16 +144 = 160

So, the reference point of each line is on the circle and that point is the endpoint of a segment from the circle center that is perpendicular to the line. Hence each of the lines is a tangent at its reference point.

6 0
3 years ago
Other questions:
  • HELP PLEASE!!!!!BRAINLIEST
    12·2 answers
  • Which of the following is a defined term?
    5·2 answers
  • K(x) = -2x + 6<br> Find k(0)<br><br><br><br> Please help!
    11·1 answer
  • Nikki, Kylie and Andy are arguing about who has the biggest candy bar. Below are their measurements of each candy bar:
    7·2 answers
  • Input Output
    13·1 answer
  • Combine like terms: 80 + 50m + 65 + 40m​
    6·1 answer
  • UREGENT !! Determine the slope of the given equation: (give the slope as a decimal.)
    9·1 answer
  • Ivan is curious if he can run faster than a rabbit.
    14·1 answer
  • The equilateral triangles shown below are similar.
    12·1 answer
  • POSSIBLE POINTS: 5.88
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!