A salesman paid $14.87 to fill his car with 44.3 liters of gasoline. Find the price per liter of gasoline to the nearest thousandth of a dollar.
Answers
per 1 liter price/1liter=14.87/44.3 divide price/1liter=0.3356659etc/1liter round (thousandth is 3 numbers after decimal) price/1liter=0.336/liter
price=$0.336 per liter
A local clothing shop is marking down all of its summer clothes by 75%. sarah would like to purchase a swimsuit that is originally priced at $80. when she gets to the register, she signs up for a loyalty cars that saves her an additional 10%. how much did she spend on the swimsuit and what total percent did she receive off?a. Find the markdown price of the swimsuit.
b. Then, find the markdown of the loyalty card.
c. Subtract to find the final price.
Answers
a) $80 - ($80 x 0.75)
= $80 - $60
= $20
b) $20 x 0.10
= $2
c) $20 - $2
= $18
Fiona bought some socks that cost $4.95 for each pair and some belts that cost $6.55 each. Fiona spent $27.95 in all. Let a represent the number of pairs of socks purchased and b the number of belts purchased
Answers
The question lacks the total number of socks and belts altogether. Thsi value is necessary so that we can create another equation to solve the unknowns.
if assumed that a = b, the answer, a = b = 2.43 will not make sense since you cannot buy 43% of a pair of socks. Completely define the conditions so that the answer can be obtained.
by trial and error, 3 pair of socks and 2 belts would be a sensible answer
The answer is "C" 4.95a + 6.55b = 27.95
Let (2x-12) degrees represent the measure of an acute angle. What are the possible values of x?
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Acute angle is an angle measure less than 90 degrees Right angle is an angle that measure 90 degrees Obtuse angle is an angle that measure more than 90 degrees.
In the given situation, we need to find the value of x of an acute angle with the given situation => (2x-12) => 0 < (2x -12) < 90 => 12 < 2x < 102 => 6 < x < 51
Let’s check our answer => 2 (51- 6) => 102 – 12 => 90 Thus, the value of x = 51 degrees
How many grams are in 17 kilograms?
Answers
There are 17000 Grams in 17 Kilograms. 1 Kilogram = 1000 Grams
If the shadow of a pole 12m high is 2/3 of its length, what is the angle of elevation of the sun?
Answers
To find the angle of elevation of the sun, you can use the tangent function. Given that the shadow of the pole is 2/3 of its length (12 meters), you can set up the following trigonometric relationship:
tan(angle of elevation) = (height of the pole) / (length of the shadow)
tan(angle of elevation) = 12 / (2/3 * 12)
Now, calculate the length of the shadow:
2/3 * 12 = 8 meters
So, tan(angle of elevation) = 12 / 8
tan(angle of elevation) = 3/2
To find the angle of elevation, take the arctan (inverse tangent) of 3/2:
angle of elevation = arctan(3/2)
Using a calculator or trigonometric tables:
angle of elevation ≈ 56.31 degrees
So, the angle of elevation of the sun is approximately 56.31 degrees.