All categories

3 years ago

Four times a number, subtracted from sixteen, is twice the number, find the number

Mathematics

2 answers:

Stells [14]3 years ago

8 0

$x=number$

$4x-16=2x$

$-16=2x-4x$

$-16=-2x$
.
$16=2x$

$x= \frac{16}{2} =8$

The number is $8$

Galina-37 [17]3 years ago

4 0

Let "the number" be represented by the variable "x"

16 - 4x = 2x [would be our equation]
16 = 6x [added 4x to both sides]
x = 16/6 [divided 6 from both sides]
x = 8/3 [simplify]

therefore the number should be 8/3

You might be interested in

A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

8 0

3 years ago

Math geometry show work Thanks

aev [14]

Problem 1, part (a)

<h3>Answer: False</h3>

For instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.

====================================================

Problem 1, part (b)

<h3>Answer: true</h3>

This is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.

====================================================

Problem 2

I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.

4 0

3 years ago

Please help! <br>Factor f(x)=x^4-x^3-7x^2+13x-6 completely. Then sketch the graph

stich3 [128]

For the complex roots I got 1,2,-3

6 0

3 years ago

Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence. 4, 9, 14, 19, 24, 29, . . . .

Irina18 [472]

The rule is that: You are adding 5 each time

5(100) + 4 = 504

Your answer should be 504

hope this helps

6 0

3 years ago

What is 3x+5=-9 in slope intercept form

Nata [24]

Answer:

x=-14/3

Step-by-step explanation:

3x+5=-9

3x=-9-5

3x=-14

x=-14/3

4 0

3 years ago