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Nuetrik [128]
3 years ago
13

Jason makes 30 dollars an hour. He spends 40 dollars a day on transportation and food. Write an expression to describe his spend

ing and earnings for the day, where x is the number of hours that Jason works that day.
Mathematics
1 answer:
natta225 [31]3 years ago
8 0
To solve the problem shown above, you must folllow the proccedure below:

1. The problem says that:
<span>
 - Jason makes 30 dollars an hour.

 - Jason spends 40 dollars a day on transportation and food.

 2. You have that "x" is the number of hours that Jason works that day.
</span>
 3. Therefore, you can write the following equation to represent the situation:

 30x-40

 4. As you can see, the answer for this exercise is:

 30x-40
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The sum of two numbers is 4. One number is five less than twice the other. Find the two numbers.
xxMikexx [17]

Answer:

Number 1 = 3, Number 2 = 1

Step-by-step explanation:

Create an each for the two number and make the sum of those two numbers equal to 4.

Number 1 we will make x

Number 2 will then be   2x - 5    (five less than two times the first number)

Equation is the sum of the two number and equal to 4

x     +   2x - 5  = 4

3x - 5 = 4

Add 5 to both sides

3x = 9

Divide both sides by 3

x = 3

Test your answer.

Number 1 would be equal to 3

Number 2 would be 2(3) - 5 which is 1

Sum of the two numbers   3 + 1  = 4

3 0
3 years ago
1) y = 2x – 17<br> -3x – y=-13
scoray [572]

Answer:

<h2>x = 6, y = -5 → (6, -5)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=2x-17&\text{subtract}\ 2x\ \text{from both sides}\\-3x-y=-13\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+y=-17\\-3x-y=-13\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-5x=-30\qquad\text{divide both sides by (-5)}\\.\qquad\boxed{x=6}\\\\\\\text{Substitute the value of x to the first equation}\\\\y=2(6)-17\\y=12-17\\\boxed{y=-5}

8 0
3 years ago
PLEASE ANSWER
snow_tiger [21]

Answer:

$70.59

Step-by-step explanation:

  1. 15% of $83.05 = 12.4575
  2. $83.05 - $12.4575 = $70.59

I hope this helps!

4 0
3 years ago
Read 2 more answers
9
barxatty [35]

Your equation for the first point will be y=x+50

Explanation...

The x is zero so we just only put x. The y is 50 so we input a 50 giving us y=x+50.

Your equation for the second point will be y=2x+100.

Explanation...

Your slope is 2 so we input that and the y intercept is 100 giving us the equation y=2x+100.

Your equation for the third point will be y=4x+150

Explanation...

Your slope is 4 so we input that. Your y intercept is 150 so we input that. It gives us the equation y=4x+150.

6 0
3 years ago
If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 8 cm, find the length of the lo
Brilliant_brown [7]

Answer:

The length of the longer leg is 6.24 cm.

Step-by-step explanation:

Here, the length of the hypotenuse  = 8 cm

The length of shorten leg ( Base) = 5 cm

Let us assume the length of longer leg (Perpendicular)   = k cm

Now, as the given triangle is a right angled triangle.

So, by the PYTHAGORAS THEOREM:

( Base)^2 + ( Perpendicular)^2  = ( Hypotenuse)^2\\\implies (5)^2  + (k)^2  = (8)^2\\\implies k^2  = 64 - 25  =  39\\\implies k^2  = 39\\k = \sqrt{(39)}  = \pm (6.24)

Now,as k is the length of the side, so it cannot be negative.

⇒   k  =  6.24 cm

Hence, the length of the longer leg is 6.24 cm.

6 0
3 years ago
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