Answer:
6x - 4 = 32. The variable (times a number) is equal to 6.
Step-by-step explanation:
So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.
Four less than 6 times a number: 6x - 4 _ __.
Now we can add the equal sign and the 32: 6x - 4 = 32.
We can now solve. Add 4 to both sides of the equation to cancel out the -4:
6x - 4 = 32
<u>+4 + 4</u>
6x = 36
Now we divide 6 into both sides of the equation to single out the x.
<u>6x = 36</u>
6 6
36/6 = 6, so:
x = 6
I hope that this helps.
Answer:
y = 167°
Step-by-step explanation:
The vertex of the triangle = 154° ( alternate angle to 154° )
The triangle has 2 equal legs so is isosceles with 2 base angles congruent
base angle =
=
= 13°
base angle and y are adjacent angles, lie on straight line AB and sum to 180°
y + 13° = 180° ( subtract 13° from both sides )
y = 167°
volume cylinder
=3.14×2^2×5
=62.8 cubic inches
volume sphere
=4/3×3.14×2^3
=33.49
difference between cylinder and sphere
=62.8-33.49
=29.31 cubic sphere
Answer:
<u>First question answer:</u> The limit is 69
<u>Second question answer:</u> The limit is 5
Step-by-step explanation:
For the first limit, plug in
in the expression
, that's the answer for linear equations and limits.
So we have:

The answer is 69
For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value
into the simplified expression to get the correct answer. Shown below:

<em>Now putting 1 in
gives us the limit:</em>

So the answer is 5
Given, the rate of growth of St. Augustine grass is
cm per week.
We have to find the number of weeks that the grass grow to
cm.
Let's take the number of weeks be x.
In 1 week the grass grow =
cm
So in x weeks the grass grow =
cm
So we can write,

To solve it for x, first we will move 7 to the right side by multiplying it to both sides. We will get,



Now to get we will move 4 to the right side by dividing it to both sides. We will get,


So we have got the required answer.
After 3 weeks the grass grow
.