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
jasenka [17]
3 years ago
11

Six times the sum of a number and twelve is forty.

Mathematics
1 answer:
solniwko [45]3 years ago
4 0
X-the number

6(x + 12) = 40    |use distributive property: a(b + c) = ab + ac

6x + 72 = 40    |subtract 72 from both sides

6x = -32    |divide both sides by 6

x = -32/6

x = -16/3

x = -5 1/3
You might be interested in
Consider trapezoid LMNO.
jenyasd209 [6]

The side LO is congruent to the side MN, the diagonal LN is congruent to the diagonal MO, and the angle L is congruent to the angle M in an isosceles trapezoid, denoted by the symbols LMNO.

What are the conditions for an Isosceles Trapezoid?

The conditions listed below demonstrate that any trapezoid is an isosceles trapezoid:

  • The length of both legs is the same.
  • 2nd condition: The base angles are of equal proportion.
  • The length of the diagonals is the same.

When these conditions are met by the given trapezoid LMNO, it will be referred to as an isosceles trapezoid. Hence, the following conditions of trapezoid LMNO need to be fulfilled,

LN ≅ MO

LO ≅ MN

∠L ≅ ∠M

Learn more about a trapezoid here:

brainly.com/question/26335898

#SPJ1

3 0
2 years ago
Janet drove 420 miles in 6 hours. What was her constant rate of change?<br><br><br> Pls answer
Ira Lisetskai [31]

Answer:

70 miles per hour

Step-by-step explanation:

5 0
2 years ago
One measure of an athlete’s ability is the height of his or her vertical leap. Many professional basketball players are known fo
almond37 [142]

Answer:

(1) P(\bar X < 26 inches) = 0.0436

(2) P(27.5 inches < \bar X < 28.5 inches) = 0.2812

Step-by-step explanation:

We are given that the mean vertical leap of all NBA players is 28 inches. Suppose the standard deviation is 7 inches and 36 NBA players are selected at random.

Firstly, Let \bar X = mean vertical leap for the 36 players

Assuming the data follows normal distribution; so the z score probability distribution for sample mean is given by;

            Z = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean vertical  leap = 28 inches

            \sigma = standard deviation = 7 inches

            n = sample of NBA player = 36

(1) Probability that the mean vertical leap for the 36 players will be less than 26 inches is given by = P(\bar X < 26 inches)

   P(\bar X < 26) = P( \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } < \frac{26-28}{\frac{7}{\sqrt{36} } } ) = P(Z < -1.71) = 1 - P(Z \leq 1.71)

                                                 = 1 - 0.95637 = 0.0436

(2) <em>Now, here sample of NBA players is 26 so n = 26.</em>

Probability that the mean vertical leap for the 26 players will be between 27.5 and 28.5 inches is given by = P(27.5 inches < \bar X < 28.5 inches) = P(\bar X < 28.5 inches) - P(\bar X \leq 27.5 inches)

    P(\bar X < 28.5) = P( \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } < \frac{28.5-28}{\frac{7}{\sqrt{26} } } ) = P(Z < 0.36) = 0.64058 {using z table}                      

    P(\bar X \leq 27.5) = P( \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{27.5-28}{\frac{7}{\sqrt{26} } } ) = P(Z \leq -0.36) = 1 - P(Z < 0.36)

                                                        = 1 - 0.64058 = 0.35942

Therefore, P(27.5 inches < \bar X < 28.5 inches) = 0.64058 - 0.35942 = 0.2812

6 0
3 years ago
Which of point represents the approximate location of
julia-pushkina [17]
B because the square root of 39 is 6.24499799...
5 0
3 years ago
Solve the system of equations by substitution.<br><br> y=5x-13<br> 5x+2y=19
Assoli18 [71]
<span>  x=<span><span><span><span>3‌</span>‌ and </span>‌</span>‌y</span></span>=<span>2   to check use the first equation y=5x-13  you plug in x which is 3 5 times 3 equals 15 15-13 equals 2 y=2</span>
8 0
3 years ago
Other questions:
  • PLEASE HELP!! its due in 20 minutes and i dont get this
    14·2 answers
  • Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down,
    6·1 answer
  • What is the value of Y when x=3 if the equation of the regression line is y=3.8X+ 23.1
    8·1 answer
  • Find the unit rate<br> 39 plants in 3 rows =<br> plants per row
    7·2 answers
  • Answer this for me asap if u answer is correct i will thank u and mak it the branliest
    7·1 answer
  • Which graph shows a proportional relationship between the number of hours of renting a snowboard and the total amount spent to r
    15·1 answer
  • Sarah is playing a video game that allows her to double her coins each hour. The game starts with 4 coins and Sarah plays the ga
    11·1 answer
  • Compute:<br><br> 11^2−(12−4)^2+3=
    8·2 answers
  • Find the area of a figure
    12·1 answer
  • List the range for set p={1,2,3,4,5} and set Q={1,4,9,16,25,26}
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!