Answer:
156 is the answer because clearly there are 2 rectangles and the first is a 12 by 7 and the second one we have to figure that out but because the top is 12 and it says to take 3 off of each side you would get 6 and the l3 length is 12 so it would be 12 by 6 so yo uwould have to do 12 times 7 plus 12 times 6 and once you do that you would get 156
Answer:
Anna received $1000
Barbara received $600
Chrissy received $400
Step-by-step explanation:
Let us solve the problem
∵ The ratio of Anna, Barbara, and Chrissy is 5: 3: 2
∵ Barbara received $400 less than Anna
→ That means Anna - Barbara is 400, find the difference between their ratio
∵ The difference between their ratio = 5 - 3 = 2
→ By using the ratio method
→ Anna : Barbara : difference
→ 5 : 3 : 2
→ A : B : 400
→ By using the cross multiplication
∵ A × 2 = 5 × 400
∴ 2A = 2000
→ Divide both sides by 2
∴ A = 1000
∴ Anna received $1000
∵ B × 2 = 3 × 400
∴ 2B = 1200
→ Divide both sides by 2
∴ B = 600
∴ Barbara received $600
Let us use the ratio between Anna and Chrissy to find the amount of Chrissy
→ Anna : Chrissy
→ 5 : 2
→ 1000 : C
→ By using cross multiplication
∵ 5 × C = 2 × 1000
∴ 5C = 2000
→ Divide both sides by 5
∴ C = 400
∴ Chrissy received $400
Answer:
300%
Step-by-step explanation:
By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?
If down payment is increased from 1000 to 4000
Icecrement = 4000-1000
Increment =3000
Percentage increase = 3000/1000×100
Percentage increase = 3000/10
Percentage increas=300%
Answer:
-m + 6 = 3m + 14
m = -2
Step-by-step explanation:
Hi! This answer may seem too big, but I suggest taking the time to read it as it will help you a lot in the future.
<h3>Step 1:</h3>
Let's start by multiplying -(m - 6).
Essentially, you are turning the expression (m - 6) negative or multiplying the expression (m - 6) by -1
This uses the distributive property of multiplication (distributing the outside factor to all the terms inside the parenthesis. You'll see how it works soon.)
Let's solve:
- -(m - 6)
- -1(m - 6)
- -1(m) - 1(-6)
<h3>PAUSE</h3>
Here are a couple of tips:
<h2>
Tips:</h2>
- A positive number times a negative number is always a negative number
- A positive number times a positive number is always a positive number
- A negative number times a negative number is always a positive number
- A number times 1 is the same number
- A number times -1 is the opposite of that number
So basically, if you are multiplying terms with the same sign (positive or negative), it is always positive. Numbers with opposite signs are always negative.
<h3>CONTINUE</h3>
Using the information we have now, we can multiply the terms
The left-hand side of the equation becomes 6 - m
<h3>Step 2:</h3>
Now, let's solve for m.
Solve for m:
<h2>Tips:</h2>
- When dividing a positive number by a negative number, the answer is always negative
- When dividing a negative number by a positive number, the answer is always negative
- When dividing a positive number by a positive. number, the answer is always positive
- When dividing a negative number by a negative number, the answer is always positive.
- When dividing a number by -1, it is the opposite of that number
- When dividing a number by 1, it is the same number.
The same rules apply for division as they do to multiplication as well.
What you do to one side of the equation should happen to the other side.
- Step 1: 6 - m = 3m + 14
- Step 2: 6 = 4m + 14
- Step 3: -8 = 4m
- Step 4: 4m = -8
- Step 5: m = -2
Analyze:
- When solving for variables, you want all the terms with that variable to one side.
- In the first step, we are subtracting m. To counter that operation, we add m to both sides.
- Similarly in step 2, we are adding 14, so to counter that, we subtract 14.
- In steps 3 and 4, we are multiplying m by 4. To counter that, we divide by 4
Hope this helps you out a lot!
-Chetan K