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2 years ago

8x + 6y = 10

2 answers:

6 0

It could be D or C
The system has two solutions
x = .8 y = .6

OR if you think about it , (x=.8 y=.6) could be considered THE solution.
I would go with choice C

Nitella [24]2 years ago

5 0

Here, Multiply second equation by 2,
10x - 6y = 4.4

Now, Add both the equations,
18x = 14.4
x = 14.4 / 18
x = 0.8

Substitute it in 2nd equation,
5(0.8) - 3y = 2.2
-3y =2.2 - 4
y = 1.8/3
y = 0.6

Solution of the system of Equation is: (0.8, 0.6)

In short, Your Answer would be Option C

Hope this helps!

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While Brendan is vacationing with his family at the cabin, they take a motorboat on the river. The motorboat travels

taurus [48]

Part 1: The speed of the boat traveling downstream is $(18+w)$ miles per hr.

The speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part 2: The speed of the current is 4 miles per hour.

Explanation:

Part (1): The motorboat travels 18 miles per hour in still.

Let w represents the speed of the current.

When the boat travels downstream, the speed of the current will get added to the speed of the boat.

Thus, the expression can be written as $(18+w)$ miles per hr

Hence, the speed of the boat traveling downstream is $(18+w)$ miles per hr.

When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.

Thus, the expression can be written as $(18-w)$ miles per hr.

Hence, the speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.

The distance formula is given by $distance $=$ speed $\times$ time$

Substituting, we have,

$49=(18-w)t\\49=18t-wt$ ---------------(1)

$77=(18+w)t\\77=18t+wt$ ---------------(2)

Solving using elimination method,

$49=18 t-w t\\77=18 t+w t\\-------\\126=36t$

Dividing both sides by 36, we have,

$t=3.5$

Substituting $t=3.5$ in $49=18 t-w t$ , we get,

$49=18(3.5)-w (3.5)\\$

$49=63-3.5w\\$

$-14=-3.5w\\$

$4=w$

Thus, the speed of the current is $w=4$ miles per hour.

5 0

2 years ago

The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5.

castortr0y [4]

Let's say x is J because it's Lemon Juice.

It's said that the pH of J is less than 4 so: pH(J) < 4 and pH(J) is greater than 1.5 so: pH(J) > 1.5

Now we can construct:

$1.5 < pH(J) \wedge pH(J) < 4$

Or simply:

$1.5 < pH(J) < 4$

We can also write this with an interval:

$pH(J)\in(1.5, 4)$

Hope this helps.

r3t40

8 0

1 year ago

Amanda has 26 nickels and dimes in her piggy bank. the number of nickels is two fewer than three times the number of dimes. how

vitfil [10]

<span>Amanda has 26 nickels and dimes. We shall call nickels x and dimes y. We can write the following equations: x = 3y -2 or -x +3y = 2 x + y = 26 We can cancel out the x to give 4y = 28 or y = 7 If there are 26 coins in total and 7 of them are dimes then there must be 19 nickels. The number of nickels (19) is two fewer than three times the number of dimes ( 3(7) - 2 = 19).</span>

4 0

2 years ago

Stefanie is planning a 610-mile trip. Her car’s EPA rating is 34 mpg on the highway. How many gallons of gas will she require fo

agasfer [191]

It going to be 79 mile

3 0

2 years ago

The speed of a sparrow is x km/h in still air. When the

Semmy [17]

Answer:

x = 5m/s

Step-by-step explanation:

Distance flying out = 12 km (headwind)

Distance flying back = 12 km (tailwind)

total distance = 12 + 12 =24 km

wind speed = 1km/h

speed going out (with headwind) = (x - 1) km/h

speed coming back (with tailwind) = (x + 1) km/h

Time taken to go out = distance going out / speed going out

= 12 / (x-1)

Time taken to come back = distance coming back / speed coming back

= 12 / (x+1)

total time = time taken to go out + time taken to come back

5 =[ 12/(x-1) ] + [ 12/(x-1)]

expanding this, we will get

5x² - 24x - 5 = 0

solving quadratic equation, we will get

x = -1/5 (impossible because speed cannot be negative)

x = 5 (answer)

4 0

2 years ago