Use PEMDAS and the distributive property to solve this problem-
3(x+2)-2(x+1)=8
(3 times x and 3 times 2)
3x+6-2(x+1)=8
(-2 times x and -2 times 1)
3x+6-2x-2=8
Combine like terms (3x/-2x and 6/-2)
x+4=8
Subtract 4 from both sides
x=4
Answer:
7.05
Step-by-step explanation:
sqrt(50) = sqrt(25 * 2) = sqrt(25) * sqrt(2) = 5sqrt(2) = 5 * 1.41 = 7.05
Answer:
The number of batches Ben can make with 5/6 cup of green chilies is
batches of salsa.
Step-by-step explanation:
From the question,
Ben needs 1/3 cups of chilies for a batch of salsa.
To determine how many batches of salsa he can make with 5/6 cup of green chilies,
Let the number of batches Ben can make with 5/6 cup of green chilies be x.
Now,
If 1/3 cups of green chilies is needed for 1 batch,
Then, 5/6 cups of green chilies will make x batches
1/3 × x = 5/6 × 1
x = 5/6 ÷ 1/3
x = ![\frac{5}{6} \div \frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%20%5Cdiv%20%5Cfrac%7B1%7D%7B3%7D)
x = ![\frac{5}{6} \times \frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%20%5Ctimes%20%5Cfrac%7B3%7D%7B1%7D)
x = ![\frac{15}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B6%7D)
x = ![\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D)
x = ![2\frac{1}{2}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B2%7D)
Hence, the number of batches Ben can make with 5/6 cup of green chilies is
batches of salsa.
The probability of picking a red counter is therefore; 8/25.
<h3>What is the probability of picking a red counter?</h3>
Since the ratio of red to green is 2 :3 and there are 24 green counters, it follows that the number of red counters is;
x = (2/3)× 24 = 16 red.
The total of red and green is; 16 +24 = 40 which constitutes 80% of the total counters.
The total number of counters is therefore; 40/0.8 = 50 counters.
The probability of picking a red counter is therefore; 16/50 = 8/25.
Read more on ratios;
brainly.com/question/13513438
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Answer:
Man has to pay $1921.19 per month.
Step-by-step explanation:
The formula of Compound Interest is:
where A = Amount
P = Principle
r = rate
n = Number of Compounding per year
t = total number of year
Here, A = 33,000, r = 9% = 0.09, n = 12(monthly), and t = 48(48 months).
Putting all these values in above formula:
⇒
⇒
⇒
⇒ P = 33000 ÷ 1.4314 = 23054.35
Monthly payment = 23054.35 ÷ 12 = 1921.19
Hence, Man has to pay $1921.19 per month.