All categories

3 years ago

Eight is subtracted from four times some number and the result is the sum of the number and 4. translate:

1 answer:

7 0

----------------------------------------
Define x:
----------------------------------------
Let the unknown number be x.

----------------------------------------
Translate:
----------------------------------------
Eight is subtracted from four times some number and the result is the sum of the number and 4:

4x - 8 = x + 4

----------------------------------------
Solve x:
----------------------------------------
4x - 8 = x + 4

----------------------------------------
Subtract x from both sides:
----------------------------------------
3x - 8 = 4

----------------------------------------
Add 8 on both sides:
----------------------------------------
3x = 12

----------------------------------------
Divide by 3 on both sides:
----------------------------------------
x = 4

----------------------------------------
Answer: The number is 4.
----------------------------------------

You might be interested in

Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?

sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have $V=IR^{2}$ and let $H$ be the subset of $V$ of all points on the line

$4x+3y=12$

We need to find if $H$ is a subspace of the vector space $V$ .

In $IR^{2}$ all the possibilities for own subspace of the vector space $IR^{2}$ are :

$IR^{2}$ itself.

The vector $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$

All lines in $IR^{2}$ that passes through the origin ( $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$ )

We know that $H$ is the subset of $IR^{2}$ of all points on the line $4x+3y=12$

If we look at the equation, the point $\left[\begin{array}{c}0&0\end{array}\right]$ doesn't verify it because :

$4x+3y=12\\4(0)+3(0)=12\\0=12$

Which is an absurd. Therefore, $H$ doesn't contain the origin (and $H$ is a line in $IR^{2}$ ). Finally, it can't be a vector space of $V=IR^{2}$

8 0

3 years ago

Which is the correct first step for solving this equation? 2x-7=5?

scZoUnD [109]

Answer:

to get x by itself so divide 5 by 2 and then add 7 to the other side

Step-by-step explanation:

2x-7=5

x-7=2.5

x=2.5+7

x=9.5

4 0

3 years ago

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax how much did she pay

saul85 [17]

Answer:

Kerry should pay = 155520

Step-by-step explanation:

Total amount paid = 14,4000 + 8% of 14,4000

It is given that,

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax

To find the 8% of 14,4000

8% of 14,4000 = (8*144000)/100 = 11520

To find total amount paid

Total amount paid = 14,4000 + 8% of 14,4000

= 14,4000 + 11520 =155520

Therefore Kerry should pay = 155520

4 0

3 years ago

Determine whether test point (-6,4) is a solution to the linear inequality x+y_<1

tamaranim1 [39]

$\bf \begin{array}{llll}
-6&,&4\\
\uparrow &&\uparrow \\
x&&y
\end{array}\qquad x+y\le 1\implies -6+4\le 1\implies -2\le 1$

now, is it true that -2 is lesser than 1? if it's true, is a solution, if is false, is not then

7 0

3 years ago

A department store sells red and blue shirts. A pack of 4 red shirts costs $53.48 and a pack of 12 blue shirts costs $58.20. Wha

sergij07 [2.7K]

Difference means subtraction. So you take $58.20-$53.48 and you get $4.72.

5 0

2 years ago