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Ira Lisetskai [31]
3 years ago
14

Where is each answer

Mathematics
1 answer:
storchak [24]3 years ago
4 0

Answer:

1.(D)

2.(A)

3.(C)

4.(B)

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An angle measures 12 degrees less than three times it's supplement. Find the measure of the angle.
Aleonysh [2.5K]

supplementary angles = 180 degrees

 so x = angle 1

y = angle 2

y = 3x-12

x + 3x-12 =180

4x-12 = 180

4x = 192

x = 192/4 = 48

y = 3(48) -12 = 144-12 = 132

132 +48 = 180

 the angle is 132

4 0
4 years ago
Edurado started a business selling sporting goods.He spent $ 7500 to obtain hos merchandise , and it cost him $300 per week for
Alik [6]

Answer:

C)  It will take  14 weeks for Edurado to make a profit.

Step-by-step explanation:

The money spent on obtaining the merchandise = $ 7500

The general expense per week = $300

Let us assume Eduardo has to work for N weeks to break Even.

So, the general expense in N weeks  = N x( Expense per week)

=  N x ( $300)  = 300 N

So, the total expense in N weeks  =  Money spent on merchandise + general expense

or, the TOTAL EXPENSE =  $ 7500 +  300 N     .... (1)

Now, the earning per week = $850

So, the total earning in N weeks = N x ( Earning in 1 week) =  N x ( $850)

or, the TOTAL EARNING  =  850 N    .... (2)

Now, for N weeks ,

TOTAL EXPENSE  = TOTAL EARNING

⇒ $7500 +  300 N = 850 N

or, 7500 = 850 N -  300 N = 550 N

⇒ N  = 7500/550 = 13.63

So, number of weeks should at least be 13.63

Among the given options, N = 14 weeks is the most feasible answer.

Hence, it will take  14 weeks for Edurado to make a profit.

5 0
3 years ago
The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common rati
Mashutka [201]

we are given

first term is

a_1=42

common ratio is

r=\frac{3}{4}

now, we can find nth term

a_i=a_1(r)^{i-1}

now, we can plug values

a_i=42(\frac{3}{4})^{i-1}

now, we can write in sigma form

sum=\sum _{i=1}^{\infty }\:42(\frac{3}{4})^{i-1}

now, we can find sum

we can use formula

sum=\frac{a}{1-r}

now, we can plug values

we get

sum=\frac{42}{1-\frac{3}{4}}

sum=168

so, option-D.................Answer

3 0
4 years ago
Solve and explain please
butalik [34]

Answer:

b = √79

Step-by-step explanation:

using pythagorath's theorem

6 0
3 years ago
-3(6 - 3k)<br>I need to Simplify the expression​
sergij07 [2.7K]

Answer:

-18+9k

Step-by-step explanation:

If you use the distributive property, you get:

(-3*6) and (-3*-3k)

If you simplify each of them you get:

-18+9k

8 0
3 years ago
Read 2 more answers
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