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likoan [24]
3 years ago
11

The larger of two numbers is 7 times the smaller number. 3 times the larger number is 7 more than 4 times the smaller number. Fi

nd the numbers. Please answer!!!!!!!!!! I BEG!!!!!
Mathematics
1 answer:
zhenek [66]3 years ago
5 0
So the larger number is x, and the smaller number is y
7y=x
3x=7+4y

(So plug in the 7y=x information into the second equation)

3(7y)=7+4y
21y=7+4y
17y=7
y=7/17
You might be interested in
Number 49....I need help
sergiy2304 [10]
Now, keep in mind that, we'll be using 25mile intervals, notice, that at a cost of 200 bucks, it went for 50 miles, now the charges are just for every 25miles only, so, if you drive 30 miles, you pay for 25miles and if you drive for 49 miles, you still only pay for 25 miles, but because 50/25 is 2 intervals, then if you drive for 50 miles, you're paying for 2 intervals of 25miles, not just one.

now, also let's keep in mind that, when the car was driven for 200 miles, that's 200/25 or 8 25mile intervals, so the 25mile charge kicked in 8 times.

\bf \stackrel{cost}{y}=\stackrel{fixed~charge}{F}+\stackrel{25mile~intervals}{m}\quad \stackrel{25mile~charge}{x}\implies y=F+mx\\\\
-------------------------------\\\\
\begin{cases}
200=F+2x\implies 200-2x=\boxed{F}\\
245=F+8x\\
----------\\
245=\boxed{200-2x}+8x
\end{cases}
\\\\\\
45=6x\implies \cfrac{45}{6}=x\implies \cfrac{15}{2}=x\impliedby 
\begin{array}{llll}
\textit{so the 25mile charge is}\\
\textit{7 bucks and 50cents}
\end{array}
\\\\\\


\bf 200=F+2\left( \frac{15}{2} \right)\implies 200=F+15\implies 185=F
\\\\\\
\textit{and the \underline{fixed charge} is 185 bucks then, let's check for 450}
\\\\\\
\boxed{y=185+\frac{15}{2}x}\qquad 
\begin{cases}
450~miles\\\\
\cfrac{450}{25}\implies 18~\textit{\underline{25mile intervals}}\\\\
x=18
\end{cases}
\\\\\\
y=185+\cfrac{15}{2}\cdot 18\implies y=185+135\implies y=320
7 0
3 years ago
A cone has a radius of 5 and height of 6 Iowk need the answer asap please it's on khan academy!!​
pickupchik [31]

Answer:

the volume is 157.08

Step-by-step explanation:

formula is v=1/3hπr²

1: V=1/3(6)π(5)²

2. V=1/3(6)π(25)

3:V=2*π*25

4: V=157.079

3 0
2 years ago
Maria leaves her house and walks north for 6 blocks. She then turns and walks directly east for 8 more blocks
Shtirlitz [24]

Answer:

36+64=100 100 to the square root is 10

Step-by-step explanation:

I'm not giving a diagram just draw a triangle and make the base of it 8 and the length of it 6 but the diagonal part 10

It's the pythagorean theorum. a^2 + b^2 = c^2

^2= to the 2nd power. or squared.

In this case it really doesnt matter which one you label for this part of math.

so 8^2 + 6^2 = C^2 where C is the shortest distance between the houses.

and 8 and 6 were the lengths given.

64+36=100

100's square root is 10 because 10^2 is 100 or 10*10 is 100. If you dont know what squaring is.

Its multiplying something by that something once so 1 squared is 1 because its 1*1 you are multiplying it once 2 squared or 2^2 is 4 because 2*2 is 4 3 squared or 3^2 is 9 because 3*3 is 9. 4 squared is 16 because 4*4 is 16. and if you did 2 to the power of 3 of 2 cubed it would be 8 because 2*2*2 is 8.

7 0
3 years ago
Read 2 more answers
Write an equation for the sentence "The product of a number n and 7.7 equals 112.42." Solve for the variable.
pishuonlain [190]

Answer:

7.7n=112.42

n=14.6

Step-by-step explanation:

The product is the result obtained by multiplying two factors. Then, the sentence ""The product of a number n and 7.7 equals 112.42" can be expressed with the following equation:

7.7n=112.42

To solve for the variable "n", you has two apply the Division property of equality and divide both sides of the equation by 7.7

Therefore, the value of "n" is:

\frac{7.7n}{7.7}=\frac{112.42}{7.7}\\\\n=14.6

8 0
3 years ago
-7x-x-1=? Help please
bonufazy [111]
The answer is 8x-1 I believe

5 0
3 years ago
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