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Eduardwww [97]
3 years ago
15

A bag contains blue marbles and red marbles, 106 in total. The number of blue marbles is 6 more than 4 times the number of red m

arbles. How many blue marbles are there?
Mathematics
1 answer:
lukranit [14]3 years ago
4 0

Answer:

Number of blue marbles = 86.

Step-by-step explanation:

Let number of blue marbles = x, then the number of red marbles = 106-x.

From the second relation given in the question:-

x =  4(106 - x) + 6

Solving for x:-

x = 424 - 4x + 6

5x = 430

x = 86 blue marbles.

You might be interested in
Which expressions simplify to a rational answer? Select each correct answer. 29√⋅4√ 3√⋅16−−√ 73⋅−√3√ 5√⋅5√
PolarNik [594]

Answer:

The correct options are 1, 3 and 4.

Step-by-step explanation:

We need to find the expressions whose simplified form is a rational number.

Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.

For example: 0,2, 4.3 etc.

Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.

First expression is

2\sqrt{9}\cdot \sqrt{4}=2(3)\cdot (2)\Rightarrow 6\cdot 2=12

12 is a rational number.

Second expression is

\sqrt{3}\cdot \sqrt{16}=\sqrt{3}\cdot 4\Rightarrow 4\sqrt{3}

4\sqrt{3} is an irrational number.

Third expression is

7\sqrt{3}\cdot \sqrt{3}\Rightarrow 7\cdot 3=21

21 is a rational number.

Fourth expression is

\sqrt{5}\cdot \sqrt{5}=5

5 is a rational number.

Therefore, the correct options are 1, 3 and 4.

4 0
3 years ago
Please can you answer it because I need the answer
andre [41]

Answer:

For x^2 + 5x - 14 = 0

x1= -7, x2 = 2

For x^2 + 5x + 6 = 0

x1 = -3, x2 = -2

Step-by-step explanation:

Pls see attached....

7 0
3 years ago
Ciao i am going into highschool next year and i was wondering does any one have tips
-BARSIC- [3]

Answer:

pay attention and do what your supposed to do and you'll be fine also dont pick the wrong group of friends.

Step-by-step explanation:

please mark brainliest... <3

5 0
3 years ago
Lydia graphed ADEF at the coordinates D (-2,-1), E (-2, 2), and F (0,0). She thinks ADEF is a right triangle. Is Lydia's asserti
Setler79 [48]

The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.

<h3>Right triangles </h3>

Right triangles have a pair of perpendicular lines

Coordinates

The coordinates are given as:

  • D = (-2,-1)
  • E = (-2,2)
  • F = (0,0)

<h3>Slopes</h3>

Start by calculating the slopes of lines DF and EF using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

m_{DF} = \frac{0 + 1}{0 +2}

m_{DF} = \frac{1}{2}

Also, we have:

m_{EF} = \frac{0 -2 }{0+2}

m_{EF} = \frac{-2 }{2}

m_{EF} = -1

For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.

i.e.

m_1 = -\frac{1}{m_2}

By comparison, the slopes of both lines are not opposite reciprocals.

Hence, the true statement is (c)

Read more about right triangles at:

brainly.com/question/17972372

7 0
2 years ago
Read 2 more answers
PLZ HELP WILL GIVE BRAINLIEST
Verdich [7]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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