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nasty-shy [4]
3 years ago
8

Joes bait shop brought in a gross profit in sales of $4,100.00 in the month of June. During the same month their operating expen

ses totaled $1990.00. Calculate the net income of the bait shop for the month of June
Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Answer:

2110

Step-by-step explanation:

4100-1990=2110

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Find the value of x.
Alisiya [41]

\huge\bold{To\:find:}

✎ The value of x.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\sf\purple{The\:value\:of\:x\:is\:10°. }

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

Since it is right angle,

Sum \: of \: angles \:  =  90° \\ ⇢ 2x °+ 7x°  =90 °  \\ ⇢9x° = 90° \\ ⇢x° =  \frac{90°}{9}  \\ ⇢x° = 10°

\sf\blue{Therefore,\:the\:value\:of\:x\:is\:10°.}

\huge\bold{To\:verify :}

2x° + 7x°  = 90°  \\ ➡ \: 2 \times 10°  +7 \times 10°  = 90°  \\ ➡ \: 20°  + 70°  = 90°  \\ ➡ \: 90°  = 90°  \\  ➡ \: L.H.S.=R. H. S

Hence verified.

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6 0
3 years ago
Craig and Tom, working together, can clean the house in 8 hrs, working alone, Tom takes four times as long as Craig, How long do
aksik [14]

Let x = Craig's time

Let y = Tom's time

Create a system of equations to solve this problem.

8 = x + y

y = 4x

Substitute 4x into the y variable in the first equation.

8 = x + 4x. Combine like terms

8 = 5x. Divide each side by 5.

1.6 = x

Craig takes 1.6 hours to clean the house

5 0
4 years ago
Read 2 more answers
Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in p
scZoUnD [109]

Answer:

The probability that they will teach different courses is \frac{2}{3}.

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here <em>x</em> represents the course taught by the first part-time instructor and <em>y</em> represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probability that they will teach different courses as follows:

P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}

Thus, the probability that they will teach different courses is \frac{2}{3}.

3 0
3 years ago
The floor in Lila's bedroom is 30 square yards. Calculate the area in square feet
love history [14]
1 sq yrd = 9 sq. ft 
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-"270 square feet"-
6 0
3 years ago
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What is 16 divided 1/4​
kotegsom [21]

Answer:

64

Step-by-step explanation:

1/4 as fraction is 0.25 16/0.25 is 64

3 0
3 years ago
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