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damaskus [11]
3 years ago
9

Translate the sentence into an equation.

Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

Answer:

The expression of the given statement is 8 y - 2  = 6.

Step-by-step explanation:

Here, let the unknown number = y

Now, product of y and 8 =  8 times  y   =   8 y

Also, two less than the product    =  Product - 2

So, two less than the product  of 8 and y =  8 y - 2

Now, this above expression is equivalent to 6.

⇒8 y - 2  = 6

Hence the expression of the given statement is 8 y - 2  = 6.

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Write an equation for the nth term of the arithmetic sequence.
tresset_1 [31]

Answer:

<h3>              \bold{a_n=6n-3}\\\\\bold{a_{50}=297} </h3>

Step-by-step explanation:

3, 9, 15, 21,  ...

9-3 = 6;   15-9 = 6;   21-15 = 6   ⇒  d = 6

first term:  a = 3

difference:  d = 6

so the formula:

                         a_n=a+d(n-1)\\\\a_n=69+6(n-1)\\\\a_n =3+6n-6\\\\\underline{a_n=6n-3}                        

and:

   a_{50}=6\cdot50-3=300-3=297

5 0
3 years ago
10. A box contains five and two-thirds cups of rice. If three fourths of the rice will
sweet [91]

Answer:

5 2/3 - 3/4

5 8/12 - 9/12

4 20/12 - 9/12

4 11/12

4 0
4 years ago
50 Points What is the value of r? 6.4r−5.9r=−3.25 Question 1 options: A -6.5 B 6.5 C -3
Oliga [24]

Answer:

Option A. -6.5

Step-by-step explanation:

we have

6.4r-5.9r=-3.25

Solve for r

That means ---> isolate the variable r

Combine like terns left side of the equation

0.5r=-3.25

Divide by 0.5 both sides

0.5r/0.5=-3.25/0.5

r=-6.5

4 0
3 years ago
What is the constant of proportionality in the equation 9y = 45x?
Mars2501 [29]
Divide by the coefficient of y.
  y = (45/9)x
  y = 5x

The constant of proportionality is 5.
3 0
3 years ago
Read 2 more answers
Find the missing side lengths. Leave your answers as radicals in simplest form
tino4ka555 [31]

We have the triangle 30° - 60° - 90°.

The lenght of the sides are in proportion: 1:2:\sqrt3\to a:2a:a\sqrt3

a=y\\2a=x\\a\sqrt3=5\\\\a\sqrt3=5\qquad\text{multiply both sides by}\ \sqrt3\\\\3a=5\sqrt3\qquad\text{divide both sides by 3}\\\\a=\dfrac{5\sqrt3}{3}\\\\2a=2\cdot\dfrac{5\sqrt3}{3}=\dfrac{10\sqrt3}{3}\\\\Answer:\ x=\dfrac{10\sqrt3}{3},\ y=\dfrac{5\sqrt3}{3}

6 0
3 years ago
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