All categories

4 years ago

Ten times the sum of half a number and 6 is 8

1 answer:

3 0

Ten (10) times (multiplication) the sum (addition) of half ( $\frac{1}{2}$ a number (n) and 6 is (=) 8.

10( $\frac{n}{2}$ + 6) = 8 Use the Distributive Property
5n + 60 = 8 Subtract 60 from both sides
5n = -52 Divide both sides by 5
n = -10 $\frac{2}{5}$

You might be interested in

Which correctly describes the roots of the following cubic equation x^3-5x^2+3x+9=0? A. Three real roots, each with a different

77julia77 [94]

Answer:

The correct option is C.

Step-by-step explanation:

The given cubic equation is

$x^3-5x^2+3x+9=0$

According to the rational root theorem 1 and -1 are possible rational roots of all polynomial.

At x=-1, the value of function 0. Therefore (x+1) is the factor of polynomial and -1 is a real root.

Use synthetic division to find the remaining polynomial.

$(x+1)(x^2-6x+9)=0$

$(x+1)(x^2-2(3)x+3^2)=0$

Using $(a-b)^2=a^2-2ab+b^2$

$(x+1)(x-3)^2)=0$

USe zero product property and equate each factor equal to 0.

$x=-1,x=3,x=3$

Therefore the equation have three real roots out of which the value of two roots are same.

Option C is correct.

7 0

4 years ago

Read 2 more answers

How many ways can 4 candy bars be chosen from a store that sells 30 candy bars (combination)

Morgarella [4.7K]

Answer:

Using the combination formula:

Number of combination of r object chosen from the total object i.e n is given by:

$\frac{n!}{r! \cdot (n-r)!}$

As per the statement:

4 candy bars be chosen from a store that sells 30 candy bars

Number of candy bars chosen from a store that sells 30 candy bars(r)= 4

and

Total candy bars(n) = 30

then substitute in the given formula we have;

$\frac{30!}{4! \cdot (30-4)!}$

⇒ $\frac{30!}{4! \cdot (26)!}$

⇒ $\frac{30 \cdot 29 \cdot 28 \cdot 27 \cdot 26!}{1 \cdot 2 \cdot 3 \cdot 4 \cdot (26)!}$

Simplify:

⇒ $\frac{657720}{24} = 27,405$

therefore, 27,405 ways can 4 candy bars be chosen from a store that sells 30 candy bars

3 0

3 years ago

Read 2 more answers

The chances that it will rain tomorrow are 20% what are the chances that it will not rain?

balandron [24]

Hey!~

The chances that it will not rain "tomorrow" is 80%

Hope this helps and have a great day!

-Lindsey

5 0

4 years ago

You begin with $100.00 at the beginning of the month. This amount is cut in half each day. How much will you have on day 7? Begi

Strike441 [17]

Day 1 - 100
Day 2 - 50
Day 3 - 25
Day 4 - 15
Day 5 - 10
Day 6 - 5
Day 7 - 2.5

6 0

3 years ago

What is the completely factored from of 9x2+24x+16

dezoksy [38]

Answer:

(3x+4)(3x+4) is factor of given expression.

B is correct.

Step-by-step explanation:

We are given an expression $9x^2+24x+16$

Formula: $a^2+2ab+b^2=(a+b)^2$

First we write each term as perfect square as formula.

$\Rightarrow 9x^2+24x+16$

$\Rightarrow (3x)^2+2\cdot 3x\cdot 4+4^2$

Using formula , a=3x and b=4

$\therefore (3x)^2+2\cdot 3x\cdot 4+4^2=(3x+4)^2$

Now we write same number two times.

Hence, (3x+4)(3x+4) is factor of given expression.

3 0

3 years ago