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2 years ago

Caleb bought groceries and paid $1.60 in sales tax.the sales tax rate is 2.5% What was the price of Caleb’s groceries,before tax

Mathematics

1 answer:

Goryan [66]2 years ago

7 0

Let price of the Caleb's groceries was $x.

Given that tax rate is 2.5% or 0.025

Then sales tax is given by product of 0.025 and x.

which is 0.025x.

Given that tax paid is $1.60 so both must be equal

$0.025x=1.6$

divide both side by 0.025

$x=1.6/0.025$

$x=64$

Hence final answer is $64.

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Tickets for the baseball games were $2.50 for general admission and 50 cents for kids. If there were six times as many general a

Makovka662 [10]

There was 3000 general admission tickets sold and 500 kid ticket sold.

How did I get this?

First, we need to see what information we have.
$2.50 = General admission tickets = (G)
$0.50 = kids tickets = (K)
There were 6x as many general admission tickets sold as kids. G = 6K

We need two equations:
G = 6K
$2.50G + $.50K = $7750
Since, G = 6K we can substitute that into the 2nd equation.

2.50(6K) + .50K = 7750
Distribute 2.50 into the parenthesis

15K + .50K = 7750
combine like terms

15.50K = 7750
Divide both sides by 15.50, the left side will cancel out.

K = 7750/15.50
K = 500 tickets
So, 500 kid tickets were sold.

Plug K into our first equation (G = 6k)

G = 6*500
G = 3000 tickets

So, 3000 general admission tickets were sold,

Let's check this:

$2.50(3000 tickets) = $7500 (cost of general admission tickets)
$.50(500 tickets) = $250 (cost of general admission tickets)
$7500 + $250 = $7750 (total cost of tickets)

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2 years ago

1520+1630+1480+1580+1400+1300+1700+1610+1580+1520 divded by10

Tanya [424]

After you add them all up the divided you would get 13,952

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2 years ago

Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis

Sati [7]

Answer: The answer is f(x) = (x-3)²-h = (x-3-√h)(x-3+√h).

Step-by-step explanation: We are given to write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two distinct roots.

A quadratic function with vertex having x-coordinate k takes the form of a parabola as follows:

$f(x)+h=(x-k)^2.$

Here, 'k' and 'h' are both real.

Since we the the x-coordinate of the vertex as 3, so k = 3.

Therefore, the quadratic function becomes

$f(x)+h=(x-k)^2\\\\\Rightarrow f(x)=(x-k)^2-h\\\\\Rightarrow f(x)=(x-3-\sqrt h)(x-3+\sqrt h).$

This is the required factored form of the quadratic function.

See the attached graph, where the x-coordinate of the vertex is 3 and h is taken to be 2 units.

3 0

2 years ago

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Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.<br><br> 16x0 + 2x2 • y –1

swat32

Given that,

The given expression is : $16x^0+2x^2{\cdot}y^{-1}$

To find,

The value of the above expression when x = 2 and y = 4

Solution,

We have,

$16x^0+2x^2{\cdot}y^{-1}$

Put x = 2 and y = 4 in the above expression.

$16x^0+2x^2{\cdot}y^{-1}\\\\=16\times (2)^0+2(2)^2\times (4)^{-1}\\\\=16\times 1+2(2)^2\times\dfrac{1}{4}\\\\=16+2\\\\=18$

So, the value of the above expression is 18.

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2 years ago

Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza wit

guajiro [1.7K]

Answer: OPTION D.

Step-by-step explanation:

You know that Lindy's total cost can be found using this expression provided in the exercise:

$0.90(2.25d + 1.40t + 6)$

Where "d" is the number of drinks she orders and "t" is the number of toppings for a medium pizza she orders.

Since she and her friends to order 4 drinks and a medium pizza with 3 toppings, you can find the total cost by substitute values into the given expression.

The values are:

$d=4\\\\t=3$

Substituting into the expression and evaluating, you get:

$0.90(2.25d + 1.40t + 6)= 0.90(2.25(4) + 1.40(3) + 6)=\$17.28$

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2 years ago

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