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777dan777 [17]
2 years ago
7

the rectangle below initially has dimensions of 10 inches and 14 inches as shown. after both dimensions have been increased by a

length of x, the total area of the resulting rectangle is 320 square inches. algebraically determine the value of x.
Mathematics
1 answer:
yKpoI14uk [10]2 years ago
7 0

The value of x determined algebraically given the total area of the rectangle is 1.5 inches

<h3>How to find area of a rectangle</h3>

Initial dimensions:

Length = 14 inches

Width = 10 inches

New dimensions:

Length = 14 + x

Width = 10 + x

Area = 320 square inches

Area of a rectangle = Length × Width

320 = (14 + x) × (10 + x)

320 = 14x × 10x

320 = 140x²

x² = 320/140

x² = 2.28571428571428

x = √2.28571428571428

x = 1.511857892036908908858066144936720243

Approximately,

x = 1.5

Learn more about area of a rectangle:

brainly.com/question/13048427

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Sati [7]
The answer is D-8.

If Winnie walks 2 miles in 30 minutes, 30 minutes is half an hour so for 1 hour which is 60 minutes, she can walk 4 miles, 90 minutes she can walk 6 and for 120 minutes which is 2 hours she can walk 8.

So all I did was multiply 2 by 4 and got 8. The number 4 came from the thought that 2 hours have 4 sets of 30 minutes
3 0
3 years ago
HELP HELP HELP HELP HELP!!!!
Nutka1998 [239]

Answer:

5)m=11/10

6)m=-17/2

7)m=18.13

8)m=-26/9

BTW The M is an EXAMPLE

Step-by-step explanation:

4 0
3 years ago
Find the equation of the line using the point-slope formula.
irina [24]

Answer:

9x-7y+28=0

Step-by-step explanation:

using formula

y-y1=m(x-x1)

y-4=9/7(x-0)

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7 0
3 years ago
Tami would like to withdraw $10,364.10 at the end of each year, for 10 years, from an account paying 2.3% compounded annually. D
lianna [129]

Answer:

Answer:

Option c -$91,651.92

Step-by-step explanation:

Given : Tami would like to withdraw $10,364.10 at the end of each year, for 10 years, from an account paying 2.3% compounded annually.

To find : Determine the amount needed in the account for Tami to do this.    

Solution :

We apply the present value formula to get the amount,

     

Where, PV is the present value ,the required amount

P is the principal P=$10,364.10

r is the rate r=2.3% annually, r=0.023

n is the time n=10 years

Substitute in the formula,

   

   

   

   

     

     

Therefore, The amount needed is $91651.92.

Hence, Option c is correct.

Read more on Brainly.com - brainly.com/question/3432251#readmore

Step-by-step explanation:

3 0
3 years ago
The cost in dollars, y, of a large pizza with x toppings from Pat’s Pizzeria can be modeled by a linear function. A large pizza
Lisa [10]

Answer: b. $22.75

Step-by-step explanation:

Given : A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.

Let x denotes the number of toppings and y be the cost of that pizza.

Then, y=mx+c , m= cost per topping  and c= cost of pizza without any topping.

From the given information.

c= $14

Function of cost becomes = y=mx+14

For x= 2 and y= 17.50, we have

17.50=m(2)+14

tex]3.50=m(2)[/tex]  [Subtract 14 from both sides]

m=\$ 1.75  [Divide both sides by 2]

For c= 14 and m =1.75  , our function becomes.

y=1.75x+14

Now, for x= 5

y=1.75(5)+14=8.75+14=22.75

Hence, the cost of a pizza with 5 toppings =  $22.75

5 0
3 years ago
Read 2 more answers
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