Nate has $50 to spend at the grocery store. he fills his shopping cart with items totaling $46. at the checkout he will have to pay 6% sales tax on all items in the cart. does he have enough money to buy everything in his cart? explain.

The correct answer is Yes, he will have enough money to buy everything in his cart.

Step-by-step explanation:

First we must analyze the data:

We know the total that Nate has to spend is $ 50.

He bought products for a total of $ 46.

Now what we must find out is if by adding 6% to the total of that purchase, his money will be enough to pay.

One of the ways to get the percentage could be multiplying the total of the purchase by the total of the percentage, and to the result obtained divide it by 100.

So:

(46 x 6) / 100 = 48.76

Another way to know what the value of the percentage you should pay would be to multiply the total purchase by 0.06. That will result in 2.76. If we add it to the total that was 46, we will reach the same result of 48.76.

With 48.76 being the final result of the entire purchase, we can say yes, Nate will have enough money to buy everything in his cart.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.