Answer:
3
Step-by-step explanation:
The number is 3.
Step-by-step explanation:
Finding the Number
To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.
Equation:
Let "x" be the number.
4 is divided by a number - 4/x
3 divided by the number decreased by 2 - 3/x-2
"4 is divided by a number is equal to 3 divided by the number decreased by 2"
4/x = 3/x-2
Solution:
Cross multiply.
4/x = 3/x-2
x(3) = 4(x-2)
3x = 4x - 8
(Combine similar terms.)
3x - 4x = - 8
- x = - 8
- x/- 1 = - 8/- 1
x = 8
Final Answer:
8
Checking:
4/x = 3/x-2
4/8 = 3/8-2
1/2 = 3/6
1/2 = 1/2 ✔
Answer:
3−2
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
First, find the unit rate. (How much she makes in 1 hour.)
28.50/3 is 9.5
Now it asks for how much she will make in 2 hours.
9.5 x 2 is
19.
Answer:
105 feet or inches
Step-by-step explanation:
First we find the surface area of the base, (or the square.)
That is 25.
Next we find the areas of the triangle which is:
×height
The area of one triangle is 20, so we multiply it by 4.
That is 80.
Finally, we add both surface area to find the total surface area.
That is 80 + 25 = 105
Hope that helped!
The value of x is 15.
Solution:
Given ΔPQR
ΔUTV.
<em>If two triangles are similar, then the corresponding parts are congruent.</em>


Do cross multiplication, we get
⇒ 14(x - 3) = 8(x + 6)
⇒ 14x - 42 = 8x + 48
Add 42 on both sides.
⇒ 14x = 8x + 90
Subtract 8x on both sides.
⇒ 6x = 90
Divide by 6 on both sides.
⇒ x = 15
The value of x is 15.