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3 years ago

One fifth of one number and one fourth of a number are added, the result is 29. What is the original number?

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

5 0

Answer:

$\dfrac{580}{9}$

Step-by-step explanation:

$\dfrac{1}{5}x + \dfrac{1}{4}x = 29$

$\dfrac{4}{20}x + \dfrac{5}{20}x = 29$

$\dfrac{9}{20}x = 29$

$x = 29 \times \dfrac{20}{9}$

$x = \dfrac{580}{9}$

Answer: $\dfrac{580}{9}$

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Twelve hungry teenagers can devour a very large pizza in $20$ minutes. How many teenagers would it take to finish a very large p

olganol [36]

Answer:

9 teenagers

Step-by-step explanation:

12/20 = x/15

180/20 = x

9 = x

-----------------------

9 teenagers would take to finish the large pizza in 15 mins

5 0

2 years ago

Write 2x+3y=6 in slope intercept form

Leokris [45]

Slope-intercept form:
y=mx+b

m=slope
b=y-intercept

2x+3y=6
3y=-2x+6
y=-2/3 x+6/3
y=-2/3 x+2

Answer: the line in slope-intercept form would be:
y=-2/3 x+2

3 0

3 years ago

Indicate a general rule for the nth term of the sequence a1 = 2 and r = √3.

pantera1 [17]

It is given in the question that,

$a_{1} = 2, r = \sqrt 3$

Since we have the value of r given, so we have to use the formula to find the nth term of the geometric progression, which is

$a_{n} = a(r)^{n-1}$

Substituting the values of a and r, we will get

$a_{n} = 2( \sqrt 3)^{n-1}$

So the correct option is the third option .

3 0

3 years ago

Pls help me,i am very confused and i have no idea what to do,i will give brainliest and 35 points

Sonja [21]

unit 1 hopes this helps

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3 years ago

Indicate whether the statement is true of false.

yawa3891 [41]

The statement is false, as the system can have no solutions or infinite solutions.

<h3>Is the statement true or false?</h3>

The statement says that a system of linear equations with 3 variables and 3 equations has one solution.

If the variables are x, y, and z, then the system can be written as:

$a_1*x + b_1*y + c_1*z = d_1\\\\a_2*x + b_2*y + c_2*z = d_2\\\\a_3*x + b_3*y + c_3*z = d_3$

Now, the statement is clearly false. Suppose that we have:

$a_1 = a_2 = a_3\\b_1 = b_2 = b_3\\c_1 = c_2 = c_3\\\\d_1 \neq d_2 \neq d_3$

Then we have 3 parallel equations. Parallel equations never do intercept, then this system has no solutions.

Then there are systems of 3 variables with 3 equations where there are no solutions, so the statement is false.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

3 0

2 years ago