Which table correctly lists the three solutions for the equation 5x + y = 14?

Plss answer my question now i need it this friday

professor190 [17]

Hello! i can do the first word problem

first we need to divide 600/3 which is 200.
therefore we can infer that he does 200 letters an hour and we can solve the problem with this

200 x 7 = 1400 letters an hour

6 0

2 years ago

One canned orange juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in orde

Cerrena [4.2K]

Answer:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

Using the concentration of orange juice we have:

$0.25 X + 0.05 Y = 20*0.08$ (1)

And for the water we have:

$0.75 X + 0.95Y = 20*0.92$ (2)

If we solve for X from equation (1) we got:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

7 0

2 years ago

What are the exact solutions of x^2 = 5x + 2?

aleksandrvk [35]

Move everybody to one side
minus 5x+2 both sides
x^2-5x-2=0
use quadratic formula where
if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

1x^2-5x-2=0
a=1
b=-5
c=-2

x= $\frac{-(-5)+/- \sqrt{(-5)^{2}-4(1)(-2)} }{2(1)}$
x= $\frac{5+/- \sqrt{25+8} }{2}$
x= $\frac{5+/- \sqrt{33} }{2}$

aprox
x=5.372281323 or -0.3722813233

5 0

2 years ago

Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8$ tax. How much did each person pay?

-Dominant- [34]

Dave pays $15 and tax is $1.2 so dave spent a total of $16.20.

Mel pays $20 and tax is $1.6 so Mel spent a total of $21.60.

All you need to do is convert the percent to a decimal, so take 8 and divide by 100 and you get 0.08. then you need to multiply the cost by the tax so 15*0.08=1.2 then you just add tax to original amount 15+1.2=16.2
:)

5 0

2 years ago

Read 2 more answers

What are the steps to writing an equation from a graph? Give at least three steps.

zhannawk [14.2K]

Answer:

1. Calculate the slope from 2 points.

2. Substitute either point into the equation.

3.Solve for b, which is the y-intercept of the line.

4. Substitute b, -1, into the equation from step 2.

Step-by-step explanation:

I gave you one extra than what you expected, if thats ok.

Hope this helps : )

6 0

2 years ago