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3 years ago

Pens cost 95 cent each or 9.95 dollars for a dozens. what is the least possible cost in a dollars of 40 pens

2 answers:

5 0

Well 0.95 × 40 = 38 so it would be $38 dollars for 40 pens buying separately
and a dozen is 12, but 12 doesn't fit into 40 properly so we have to buy 48 pens.
12×4=48, 9.95×4=39.8≡$39.80 so that means that buying the pens separately is cheaper.

netineya [11]3 years ago

4 0

Cost of a pen = 95 cents = $0.95 ---------------------------->statement (1)
cos of a dozen of pen i.e. 12 pens = $9.95 ----------------> statement (2)

Now, Looking at statement (2)
when you buy a dozen of pen, it costs (12 / 9.95) = 1.206.....9 for each pen
Since, 1.206.....9 is greater than 0.95, the lowest price for which you can buy a pen is $0.95.

Now,
1 pen costs $0.95
40 pen costs ($0.95 * 40) = $38

So, the least possible cost in a dollars of 40 pens is $38.

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A 30-ounce box of cereal contains 12 servings.

elixir [45]

Answer: The correct answer is B) 2.5 ounces/serving.

Step-by-step explanation:

All you have to do is simply divide 30 ounces by 12 and you get 2.5 ounces, which is Option B.

4 0

4 years ago

The sides of a triangle have lengths x, x+4, and 20. If the length of the longest side is 20, what values of x make the triangle

harina [27]

Answer:

12 < x < 16

What we know:

The longest side of the triangle is 20, another side length is 'x + 4'
Since the triangle is acute, we know that the value of 'x' will have to be greater than its right triangle value because whatever 'x' equals will result in a right triangle, not an acute one
We must solve for the right triangle first in order to determine the acute triangle

Solving for 'x' in the right triangle:

a^2 + b^2 = c^2
(x+4)^2 + x^2 = 20^2
x^2 + x^2 + 8x + 16 = 400
2x^2 + 8x - 384 = 0
simplify x^2 + 4x - 192 = 0
factor (x + 16) (x - 12) = 0
solve for each 'x' x + 16 = 0 & x - 12 = 0
x = -16 & x = 12
check the value of 'x' cannot be negative, so it is not -16. this means the value of 'x' is 12
the value of 12 for 'x' makes a right triangle, so that is not the answer. this means the the value of 'x' needs to be greater than 12

Checking your answer:

original equation (x + 4)^2 + x^2 = 20^2
with answer (12 + 4)^2 + (12)^2 = 20^2
(16)^2 + (12)^2 = 20^2
256 + 144 = 400
400 = 400 this is true, so the answer of 'x = 12' is correct for making it into a right triangle

Solving for 'x' in the acute triangle:

x = 12 makes a right triangle
x > 12 minimum for an acute triangle
what is the maximum value for 'x' in the acute triangle? take the two other side lengths --> (x + 4) < 20 (longest side, so it will be the greater number)
simplify x < 16
x < 16 maximum for an acute triangle

Conclusion:

if 'x = 12' makes a right triangle, then 'x > 12' and 'x < 16' are the values that will make it acute
answer 12 < x < 16

6 0

3 years ago

What is the name of the period that has 913.

Masteriza [31]

The answer is in the thousands group. Its the way they word the problem that complicates it. 913,256 256 being the ones group 913 being the thousands group. So the name of the period with 913, is the thousands group

6 0

3 years ago

Kathleen is a high school student who has been investigating the possibility of mowing lawns for a summer job. She has a few fri

inna [77]

Answer:

She must pay $500 for the materials, and $14 per lawn, then:

We know that the total cost is (assuming that they work for 8 weeks, 6 days per week, and 3 times per day)

C = $500 + $14*(8*6*3) = $2,516.

The total revenue that she can make (with the same assumptions as before) is:

R = N*(8*6*3)

Where N is the amount she charges for each lawn that they mowed.

R = N*144

Now, we do not know how much she charges, so the value of N is unknown.

Now, the profit is equal to the difference between the revenue and the cost, this means that the profit is:

P = R - C = N*144 - ($2,516)

P(N) = N*144 - ($2,516)

If we have, for example, N = $20, the total profit will be:

P($20) = $20*144 - ($2,516) = $364

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3 years ago

SNOWMOBILES Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours. What is the hourly rate Br

motikmotik

Answer:

The answer is 33.75 per hour

Step-by-step explanation:

Divide 135 by 4

8 0

3 years ago