Which of the following is the decimal equivalent of 15/27? (Round your answer to 2 decimal places).
0.56
5.56
3.86
0.36
Correct Answer : A
Using a calculator to evaluate 15÷27 results in 0.5555555556. To two decimal places, the answer becomes 0.56.
Thus, 0.56 is the decimal equivalent of 15/27.
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Related Questions
Correct Answer is C
Explanation
Here, we are required to find the unit of measuring mass. The SI unit of mass is kilogram but other derived units are grams, milligrams, microgram and more.
A kilogram is a large quantity for measuring heavier objects but grams can used to measure small and light objects such as the mass of the mobile phone. Therefore, gram is the appropriate unit for measuring weight of a mobile phone.
Correct Answer is A
Explanation
Using a calculator to evaluate 15÷27 results in 0.5555555556. To two decimal places, the answer becomes 0.56.
Thus, 0.56 is the decimal equivalent of 15/27.
Correct Answer is B
Explanation
P-At=-kr
Subtract P on both sides
P-P-At=-kr-P
-At=-kr-P
Divide both sides by -t
-At/-t=(-kr-P)/-t
A=(kr+P)/t
Correct Answer is D
Explanation
We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

Solve for value of x by cross-products

X = 18 Feet
Thus, the minimum length of the ramp needed to provide access to a door that is 1.5Â high is 18Â feet.
Correct Answer is A
Explanation
A. A=w(2w+1)
Explanation
The area of a rectangle is given by the formula:
A=length×width
Given that the length is one more than twice the width, we can express it as:
Length=2w+1
The width is simply w.
Now, substituting these into the area formula:
A=w(2w+1)
Thus, the correct answer is:
A=w(2w+1)
Correct Answer is A
Explanation
Let the unknown length of the x. The resulting triangle is shown below.

We use the Pythagoras theorem as follows to find the unknown value of x as:

 
Thus, the value of unknown side of the triangle is 21.8 feet.
Correct Answer is D
Explanation
The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:
-5, -1, 0, 3, 9
There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.
Correct Answer is D
Explanation
Given:
- 2 teaspoons of baking powder for every ½ cup of flour.
- We are using 5 cups of flour.
Step 1: Determine how many teaspoons are needed per cup of flour.
Since the recipe calls for 2 teaspoons for every ½ cup of flour, the number of teaspoons required for 1 full cup of flour would be:
2 teaspoons×2=4 teaspoonspercup.
Step 2: Calculate how many teaspoons are needed for 5 cups of flour.
Now, multiply the number of teaspoons needed for 1 cup of flour by 5:
4 teaspoonspercup×5 cups=20 teaspoons.
Thus, the number of teaspoons of baking powder needed for 5 cups of flour is 20 teaspoons.
Therefore, the correct answer is D. 20 tsp.
Correct Answer is A
Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows
(2frac{2}{5}=frac{left(2ast5 ight)+2}{5}=frac{10+2}{5}=frac{12}{5})
If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
(frac{x gallons}{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
Cross-multiply to find the value of x.
(frac{x }{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
(x astfrac{4}{7}full tank=frac{12}{5} gallonsast1 full tank)
(x =frac{frac{12}{5} gallonsast1 full tank}{frac{4}{7}full tank}=frac{12}{5}divfrac{4}{7} gallons=frac{12}{5}astfrac{7}{4}gallons=frac{21}{5}gallons)
Converting 21/5 to a mixed fraction is 4 1/5. Thus, when the tank is full, it holds 4 1/5 gallons of water.
Correct Answer is A
Explanation
Given the equation A(f)=92+2f
To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.
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