Mr. Ito is spreading mulch in his yard. He spreads 4 2/3 squre yards in 2 hours. How many square yards can he mulch per hour?
Answers
Hey there, this is a division problem so we are going to divide 4 2/3 by 2. Change ÷ sign into × sign, Make 2 a fraction, 2=2/1. 4 2/3 as a improper fraction is 14/3, flip 2/1=1/2, now we have 14/3×1/2, 14*1=14 and 3*2=6. Now, we have 14/6. 14/6 simplified is 7/3, 7/3 as a mixed number is 2 1/3
You can divide 4 by 2 first, getting 2. Then you would divide the 2/3 by changing it to 4/6 and then dividing it to get 2/6, which is simplified to 1/3. Then you add your answers, so the answer is 2 1/3
Could you divide 14 shirts into two equal groups? Why or why not?
Answers
Yes because 2 time 7 is 14 so you have 7 into two different
yes you can becuase seven times two equal fourteen you will have two groups of seven
The regular price of a shirt is $24. The sale price is $18. The sale price is what percent of the regular price?
Answers
The discount price is 75% of the original price :)
Final answer:
The sale price is 75% of the regular price.
Explanation:
To find the sale price as a percentage of the regular price, we need to determine the ratio of the sale price to the regular price and multiply by 100.
The ratio of the sale price to the regular price is $18/$24 = 0.75.
Therefore, the sale price is 0.75 * 100 = 75% of the regular price.
Forty-five percent of the 300 shoppers in a supermarket bought milk. How many of the shoppers in a supermarket bought milk?
Answers
Turn 45% into a decimal. You get 0.45, because you move the decimal two places to the left.
Then multiply 300*0.45 You get 135
135 Shoppers in the supermarket bought milk.
What are the rational and irrational number give examples!
Answers
Recurring decimals such as 0.26262626…, all integers and all finite decimals, such as 0.241, are also rational numbers. Alternatively, an irrational number is any number that is not rational. ... For example, the square root of 2 is an irrational number because it cannot be written as a ratio of two integers.
Worked Examples
1 - recognize Surds
A surd is a square root which cannot be reduced to a whole number.
For example,
4–√=2
is not a surd, because the answer is a whole number.
Alternatively
5–√
is a surd because the answer is not a whole number.
You could use a calculator to find that
5–√=2.236067977...
but instead of this we often leave our answers in the square root form, as a surd.
2 - Simplifying Surds
During your exam, you will be asked to simplify expressions which include surds. In order to correctly simplify surds, you must adhere to the following principles:
ab−−√=a−−√∗b√
a−−√∗a−−√=a
Example
(a) - Simplify
27−−√
Solution
(a) - The surd √27 can be written as:
27−−√=9–√∗3–√
9–√=3
Therefore,
27−−√=33–√
Example
(b) - Simplify
12−−√3–√
Solution
(b) -
12−−√3–√=12−−√∗3–√=(12∗3)−−−−−−√=36−−√
36−−√=6
Therefore,
12−−√3–√=6
Example
(c) - Simplify
45−−√5–√
Solution
(c) -
45−−√5–√=45/5−−−−√=9–√=3
Therefore,
45−−√5–√=3
Rebecca buys some scarves that cost $5 each and 2 purses that cost $12 each. The cost of Rebecca's total purchase is $39. what equation can be used to find n, the number of scarves that Rebecca buys?
Answers
Let n represent the amount of scarves Rebecca buys, and p represent the number of purses Rebecca buys.
We know that scarves cost $5 each, and purses that cost $12 each. We also know that the cost of Rebecca's entire purchase is 39 dollars.
So,
5n + 2p = $39
However, we were also given that Rebecca buys a total of 2 purses, so we can plug that into the equation.
5n + 2(12) = 39
When simplified, we get:
5n +24 = 39
To simplify even further, we must subtract 24 from both sides of the equation.
5n = 15
Finally, we must divide both sides by the coefficient of the variable, or 5.
n = 3
Therefore, Rebecca buys 3 scarves.
However, this problem didn't ask you to solve the equation, therefore the correct answer in this situation is probably one of the ones we started out with, either 5n + 2(12) = 39