Answer:
It will take 18 weeks
Step-by-step explanation:
Here, we are told that she owes a total of $81 which decreases at a rate of $4.50 per week
The number of weeks it will take to finish paying the debt will be the amount owed divided by the payment per week
Mathematically that is 81/4.5 = 18
Do you need to use SOH-CAH-TOA??
A.
If:
j - the price of a glass of juice
p - the price of a pancake special
Then:
3j + 5p = 7.60
j + 2p = 2.90
b.
If:
j + 2p = 2.90
Then:
j = 2.90 - 2p
We can substite j in the first equation.
<span>If:
3j + 5p = 7.60
</span><span>j = 2.90 - 2p
</span>Then:
3×(2.90-2p) + 5p = 7.60
8.70 - 6p + 5p = 7.60
8.70 - p = 7.60
⇒ p = 8.70 - 7.60
⇒ p = 1.10
If:
<span>j = 2.90 - 2p
</span><span>p = 1.10
</span>Then:
j = 2.90 - 2×1.10
j = 2.90 - 2.20
j = 0.70
Thus, the price of a glass of juice is $0.70 and <span>the price of a pancake special is $1.10.
c.
If:
p = 1.10
j = 0.70
Then:
j + p = 1.10 + 0.70 = 1.80
Thus, </span><span>the bill for 1 glass of orange juice and 1 pancake special is $1.80.</span>
Answer:
10.7 m
Step-by-step explanation:
Given that,
The speed of a sound wave, v = 6,420 m/s
The frequency of the wave, f = 600 Hz
We need to find the wavelength of the wave. We can find it using the below relation as follows :

So, the wavelength of the sound wave is equal to 10.7 m.
Hello there! Using the rules of addition, we can identify that when adding a positive to a negative number, the result shifts toward the positive side but takes the sign of the greater number. It will be demonstrated in this problem to simplify how problems like this are solved:
Step 1: Rewrite the problem
-14 + 7 = ?
Step 2: Since we’re adding 7 to a negative number, that means the negative number decreases by the quantity it’s being added by.
This means we would have to really subtract 7 from 14 to get 7.
Step 3: Keep the sign of the greater number
Since 14 is greater than 7, we will keep the negative sign in accordance.
Step 4: Simplify
-14 + 7 = -7
Using the rules of addition, we will find that -14 + 7 = -7. If you need additional help, let me know and I will gladly assist you.