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aleksley [76]
3 years ago
14

Solve the word problem. Luke mowed a lawn today to earn some extra money. He spent $2.10 on fuel and $4.45 on lunch. He charged

$13.50 to mow the lawn. What was his profit for mowing the lawn?
a. $20.05
b. $15.85
c. $11.15
d. $6.95
Mathematics
2 answers:
Radda [10]3 years ago
6 0

Answer:

D) $6.95

Step-by-step explanation:

This was the correct answer on my quiz :D

Elis [28]3 years ago
3 0
To solve this you must simply add $2.10 + $4.45 together to get a sum of $6.55. Next, you must subtract the $6.55 from $13.50 to get a difference/final solution of $6.95. So, in conclusion, Luke made a profit of $6.95 from mowing the lawn.
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A store manager is marking down washing machines from $820 to $287. What is the discount percentage?
Elis [28]

Answer:

65%

Step-by-step explanation:

formula is (og(original) price - sell price ÷ og price)*100

820-287=533

533÷820=0.65

0.65x100=65

65%

8 0
2 years ago
Convert: 6y + y² = x² from rectangular to polar form.
11Alexandr11 [23.1K]
\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\\\
cos(2\theta)=
\begin{cases}
\boxed{cos^2(\theta)-sin^2(\theta)}\\
1-2sin^2(\theta)\\
2cos^2(\theta)-1
\end{cases}\\\\\\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-------------------------------\\\\

\bf 6y+y^2=x^2\implies \cfrac{6y}{x^2}+\cfrac{y^2}{x^2}=1\implies \cfrac{6rsin(\theta )}{[rcos(\theta )]^2}+\cfrac{[rsin(\theta )]^2}{[rcos(\theta )]^2}=1
\\\\\\
\cfrac{6rsin(\theta )}{r^2cos^2(\theta )}+\cfrac{r^2sin^2(\theta )}{r^2cos^2(\theta )}=1\implies 
\cfrac{6sin(\theta )}{rcos^2(\theta )}+\cfrac{sin^2(\theta )}{cos^2(\theta )}=1

\bf \cfrac{6sin(\theta )}{rcos^2(\theta )}=1-\cfrac{sin^2(\theta )}{cos^2(\theta )}\implies \cfrac{6sin(\theta )}{1-\frac{sin^2(\theta )}{cos^2(\theta )}}=rcos^2(\theta )
\\\\\\
\cfrac{6sin(\theta )}{cos^2(\theta )\left[ 1-\frac{sin^2(\theta )}{cos^2(\theta )} \right]}=r\implies \cfrac{6sin(\theta )}{cos^2(\theta )-sin^2(\theta )}=r
\\\\\\
\cfrac{6sin(\theta )}{cos(2\theta )}=r
5 0
3 years ago
Help help please.....Thanks
Novosadov [1.4K]

Hey there! :)

Answer:

56.7 kg.

Step-by-step explanation:

Use the density formula to solve for the mass:

D = m/V.

Rearrange in terms of mass, or 'm':

DV = m.

Solve for the volume:

0.06 × 0.9 × 1.5 = 0.081 m³.

Plug this into the equation along with the density:

700 × 0.081 = 56.7 kg.

5 0
2 years ago
What is the equation of the line that is
Fantom [35]

Answer:

y = m_{AB}(X-2)-1

Step-by-step explanation:

When two lines are parallel means that their slopes are equal. Therefore the line AB will have same slope to a parallel second line, m_{AB} = m_{2}.

To obtain the slope from the line AB, we need two points, so the general equation will be:

m_{AB} = \frac{y_{B} -y_{A}  }{x_{B}-x_{A}  }

The typical equation of a line is written as y = mx + b

The second line will pass through point (2, -1), so we can substitute:

y2 = mX2 + b

-1 = -1=m_{AB} (2)+b(2) + b

then the interception is b=-m_{AB} -1

Now to obtain a general equation for the second parallel line will be:

y =  m_{AB} X + b

y =  m_{AB} X - m_{AB}(2)-1

Finally we get:

y =  m_{AB} (x-2)-1

3 0
3 years ago
Brad wants to open a new savings account. He finds one that returns 3% on his investment each year. Use the variable to write a
Jet001 [13]
Return rate, r = 3% = 0.03
x = initial investment
b = final balance

After 1 year, the balance i
b = initial investment + interest
b = x + r*x = (1 + r)*x

Because r = 0.03,
b = 1.03x   (after 1 year)
3 0
3 years ago
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