Answer:
40
Step-by-step explanation:
First, we must know that ab is the same as:
a × b
Now, since a is given as 8, we can substitute a with 8. This is shown below:
ab = 8 × b
Similarly, b is given as 5. So, we can substitute b with 5:
ab = 8 × 5
With this, we can now evaluate ab as shown below:
ab = 8 × 5
= 40
The area of a rectangle is the product of its dimensions
The base of the rectangle is 7 units
<h3>How to calculate the base of the rectangle</h3>
The area of a rectangle is:
Area (A) = Base (B) * Height (H)
From the question, we have:
A = 6 + P
H = 4
The perimeter of the rectangle is:
P =2 * (B + H)
So, we have:
P =2 * (B + 4)
Substitute P =2 * (B + 4) in A = 6 + P
A = 6 + 2 * (B + 4)
Expand
A = 6 + 2B + 8
Evaluate
A = 2B + 14
The area of the rectangle is:
A = BH
So, we have
A = 4B
Substitute 4B for A in A = 2B + 14
4B = 2B + 14
Subtract 2B from both sides
2B = 14
Divide both sides by 2
B = 7
Hence, the base of the rectangle is 7 units
Read more about areas at:
brainly.com/question/24487155
Answer:
no
Step-by-step explanation:
Here we will show you two different methods you can use to determine if 4 is a factor of 93.
The first method entails simply listing all factors of 93 and then seeing if 4 is one of them. The factors of 93 are 1, 3, 31, and 93. Looking at the list, you see that 4 is not on the list, and the answer to "Is 4 a factor of 93?" is therefore no.
For the second and perhaps easier method, we divide 93 by 4 to see if the quotient is a whole number or fractional number. If the quotient is a whole number, then 4 is a factor of 93. If the quotient is a fractional number, then 4 is not a factor of 93.
93 divided by 4 is 23.25 which is a fractional number. Thus, once again, the answer to "Is 4 a factor of 93?" is no.
ANSWER: x=7, y=19
Steps
1. Substitute y=2x+5
3x+2x+5=40
2. For y=2x+5 , Substitute x=7
y=2 * 7+5
3. 2 * 7+5=19
y=19
