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Sergeu [11.5K]
3 years ago
7

translate the following sentence into mathematical equation the quotient of a number and 3 is equal to -8.

Mathematics
2 answers:
zhuklara [117]3 years ago
5 0

“A number” can be denoted as x. The quotient of x and 3 would be written as x/3. Since this is equal to -8, then we just write:

x/3 = -8

Nimfa-mama [501]3 years ago
3 0

The first thing we must do for this case is to define a variable.

We have then:

x: unknown number.

We then have the following expression:

the quotient of a number and 3 is equal to -8.

From here, we must write an algebraic expression.

We have then:

\frac{x}{3}=-8

Answer:

The algebraic expression that models the problem is given by:

\frac{x}{3}=-8

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Write the following sentence using mathematical symbols. The product of 9 and x is less than or equal to -37
Kaylis [27]

Answer:

  9x ≤ -37

Step-by-step explanation:

A product of a constant and a variable is indicted by writing the constant next to (typically, in front of) the variable. The symbol ≤ means "is less than or equal to". So ...

  (the product of 9 and x) (is less than or equal to) -37

  9x ≤ -37

8 0
3 years ago
If f(x)=3x2−4x+6 find f(−3)
kvv77 [185]

Answer:

45

Step-by-step explanation:

Replace everything in the equation that has a x to -3:

f(-3)=3(-3)^2-4(-3)+6

Square the -3:

f(-3)=3(9)-4(-3)+6

Multiply/Distribute

f(-3)=27+12+6

Add:

f(-3)=45

Hope this helps!

6 0
3 years ago
Read 2 more answers
One term of a geometric sequence is a4=135. The common ratio is r=3. Write an explicit rule for the nth term.
Anni [7]

Answer:

a_{n} = 5 * 3^{n-1}

Step-by-step explanation:

To find the nth term of a geometric sequence, you have the general formula:

a_{1} *r^{n-1}

where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):

135 = a_{1} * 3^{4 - 1}

135 = a_{1} * 3^3

135 = 27a_{1}

a_{1} = 5

Now, we can substitute the first term back in:

a_{n} = 5 * 3^{n-1}

8 0
3 years ago
Distance between riverside and milton if they are 12 cm apart on a map with a scale of 4cm : 21 (?
solniwko [45]
You dont have anything that we can answer to.
7 0
4 years ago
There are 8 circles and 6 squares. what is the simplest ratio of squares to circles?
Ierofanga [76]

Answer:

4:3

Step-by-step explanation:

Given function:

  • 8 circle by 6 squares

Divide similar factor by each term:

  • 8=4·2
  • 6=3·2

Rewrite:

  • 4:3

Therefore, the simplest ratio for 8 circles and 6 squares would be 4:3..

6 0
3 years ago
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