Answer: 3
Step-by-step explanation:
y-3=2(x+1)
y - 3 = 2x + 2
+3. +3
y=2x+5
-1 is the x value so plug it in where the x is in the equation
y=2(-1) +5
y= -2 + 5
y= 3
Answer:
See explanation
Step-by-step explanation:
William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.
Factor number 24 and 60:

Find the greatest common factor

Hence, the greatest number of bags William can make is 12.
Each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 6 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 4 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 3 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 2 bags, each of these bags will have
cans of fruit and
cans of vegetables.
Answer:
The simplest form of the fraction
is
.
i.e.

Step-by-step explanation:
Here are some simple observations regarding how to reduce a fraction into simpler terms:
- A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
- In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .
So, lets take a sample fraction and reduce into simpler terms.
Considering the fraction





so



Therefore, the simplest form of the fraction
is
.
i.e.

Answer:
The answer is below
Step-by-step explanation:
The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.
Therefore:
∠MON = ∠MOP + ∠NOP (angle addition postulate)
Substituting values gives:
124 = (2x + 1) + (2x + 1)
124 = 2x + 2x + 1 + 1
124 = 4x + 2
subtracting 2 from both sides of the equation:
124 - 2 = 4x + 2 - 2
4x = 122
Dividing through by 4:
4x / 4 = 122 / 4
x = 30.5
Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°
∠MOP = 62°, ∠NOP = 62°