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3 years ago

The sum of two numbers is 18 and the difference is 8

Mathematics

1 answer:

Andrews [41]3 years ago

3 0

Answer:

x = 13 and y = 5

Step-by-step explanation:

x + y = 18

x - y = 8

Step 1: Find y

x = 18 - y

(18 - y) - y = 8

18 - y - y - 18 = 8 - 18

-2y / -2 = -10 / -2

y = 5

Step 2: Plug into x + y = 18 to get x

x + 5 - 5 = 18 - 5

x = 13

Answer: x = 13 and y = 5

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The diameter of each wheel of a bicycle is 27 inches. If you are traveling at a speed of 20 miles per hour on this bicycle, thro

klasskru [66]

Notice, you've got a diameter in inches
and a linear velocity in miles
thus, you'd need to convert first

$\bf v=rw\implies \cfrac{v}{r}=w\qquad 
\begin{cases}
v=\textit{linear speed}\\
r=radius\\
w=\textit{angular speed}\\
 --------------\\
v=20\frac{mi}{h}\\
r=\frac{diameter}{2}=\frac{27}{2}
\end{cases}
\\\\
\textit{now, converting 20miles to inches}
\\\\
\cfrac{20mi}{h}\cdot \cfrac{5280ft}{mi}\cdot \cfrac{12in}{ft}\implies \cfrac{20\cdot 5280\cdot 12\ in}{h}\impliedby v
\\\\\\
\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}=w$

now, whatever that is, you'll need to divide it by a revolution, recall, a revolution is $2\pi$
thus $\bf \cfrac{\qquad \boxed{\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}}\qquad }{2\pi }=revolutions$

7 0

3 years ago

Read 2 more answers

Give me a correct answer, My answer probably wrong.

Georgia [21]

Hello!

This is a problem about the general solution of a differential equation.

What we can first do here is separate the variables so that we have the same variable for each side (ex. $dy$ with the $y$ term and $dx$ with the $x$ term).

$\frac{dy}{dx}=\frac{x-1}{3y^2}$

$3y^2dy=x-1dx$

Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

$y^3=\frac{1}{2}x^2-x+C$

Then here, we just solve for $y$ and we have our general solution.

$y=\sqrt[3]{\frac{1}{2}x^2-x+C}$

We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.

Hope this helps!

3 0

2 years ago

Please help me, eshay lad

AfilCa [17]

Answer:

122.5 cm²

Step-by-step explanation:

Area of this trapezium:

1/2 × 35 × 7

= 245/2 = 122.5 cm²

6 0

2 years ago

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)

Leto [7]

Answer:

Number of Adult's tickets sold on Saturday = 3,356

Number of Children's tickets sold on Saturday = 2, 928

Total number of tickets sold over these two days is 8,938.

Step-by-step explanation:

Here, the number of tickets sold on FRIDAY:

Adult Ticket sold = 1,678

Children's Tickets sold = 976

So, the total number of tickets sold on Friday

= Sum of ( Adult + Children's ) tickets = 1,678 + 976 = 2,654 .... (1)

The number of tickets sold on SATURDAY:

Adult Ticket sold = 2 times the number of adult tickets sold on Friday

= 1,678 x 2 = 3,356

Children's Tickets sold = 3 times the number of children's tickets sold on Friday.

= 976 x 3 = 2, 928

So, the total number of tickets sold on Saturday

= Sum of ( Adult + Children's ) tickets = 3,356 + 2,928 = 6, 284 .... (2)

Now, the total number of tickets booked in these two days :

Sum of tickets booked on (Friday + Saturday)

= 2,654 + 6, 284 = 8,938

Hence, total number of tickets sold over these two days is 8,938.

6 0

3 years ago

I have 10 apples, I give away 2, how many apples do I have left

Volgvan

This would be 10-2 which would equal 8

5 0

3 years ago

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