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Helga [31]
4 years ago
9

When is the sum of two negative mixed numbers an integer

Mathematics
1 answer:
hjlf4 years ago
5 0
-12 1/2 + (-3 1/2)= (-(12+3+1) = -16
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Two investments totaling $58,500 produce an annual income of $3795. One investment yields 5% per year, while the other yields 7%
Arte-miy333 [17]

Total investment is =$58500

Annual income produced = $3795

Rate of one investment = 5%

Rate of second investment = 7%

Let the amount invested at 5% be = x

Then, amount invested at 7% rate will be = 58500-x

The equation becomes:

5%x + 7%(58500-x) = 3795

= 0.05x + 0.07(58500-x) = 3795

0.05x + 4095 - 0.07x = 3795

0.02x = 300

x = 15000

Hence,  the amount invested at 5% is = $15000

Amount invested at 7% = 58500-15000 = $43500


8 0
3 years ago
Let x represent the number of small candle. let y represent the number the number of large candles.
Maru [420]

Answer:

The inequality that models the situation is 2.25x+4.75y \leq 80

Step-by-step explanation:

Let

x ----> represent the number of small candles

y ----> represent the number of large candles

we know that

The inequality that represent this situation is equal to

2.25x+4.75y \leq 80

using a graphing tool

The solution is the shaded triangular area, because the number of candles cannot be a negative number

see the attached figure

8 0
4 years ago
Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the trian
AfilCa [17]

Answer:

Triangle inequality rule states that the sum of eachpair of sides must be greater than the third sides.

240 + 123 > 207 true

240 + 207 > 123 true

123 + 207 > 240 true

A = √(s(s-a)(s-b)(s-c))

s is the semi-perimeter (a + b + c)/2

s = (240 + 123 + 207)/2

s = 285

A = √(285*(285-249)(285-123)(285-207))

A = 12,730 units^2

Step-by-step explanation:

4 0
3 years ago
How many employees get to work in less than 40 minutes? help please
aleksandrvk [35]

Answer:

Hello! answer: 6

Step-by-step explanation:

6 people get to work in 20 minutes which is the only option which is less than 40 therefore 6 is the answer Hope that helps!

8 0
3 years ago
Factor completely and show work
sukhopar [10]
The answers to the questions

3 0
3 years ago
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