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Lelu [443]
1 year ago
11

A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck

, and at the end of 8 hours they were 1048 miles apart. What was the average speed of each vehicle?
Mathematics
2 answers:
Leona [35]1 year ago
8 0

Answer:

Step-by-step explanation:

At the end of 8 hours, the car and truck were 1048 miles apart. So they were traveling 1048/8 = 131 miles per hour apart.

The car traveled 19 miles per hour faster than the truck. So car speed = truck speed + 19

Substituting, truck speed + truck speed + 19 = 131

2x truck speed = 112

Truck speed = 56 miles per hour

Car speed = 56 + 19 = 75 miles per hour

sertanlavr [38]1 year ago
6 0
Truck speed be x
car travel at x+19
they travel in opposite directions
so the separation is (x+x+19) * no. of hours
1048 = (2x+19)*8
x = ((1048/8) - 19)/2
=56

truck speed is 56 miles per hour
car speed is 56+19 = 75 miles per hour



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Leena walked 2/3 of a mile What is 2/3 written as a sum of unit fractions with the denominator of nine
aliya0001 [1]
Bear in mind that multiplying anything, and anything whatsoever by 1, has a product of the anything itself.

so, let's multiply 2/3 by 1 then and check about,

\bf \cfrac{same}{same}=1\qquad thus\cfrac{2}{3}\cdot 1\implies \cfrac{2}{3}\cdot \cfrac{3}{3}\implies \cfrac{6}{9}
\\\\\\
\textit{now, we can split that and write it as a sum}\implies \cfrac{1+5}{9}\implies \cfrac{1}{9}+\cfrac{5}{9}
3 0
2 years ago
Davison Electronics manufactures two LCD television monitors, identified as model A andmodel B. Each model has its lowest possib
shtirl [24]

The question is incomplete. The complete question is :

Davison Electronics manufactures two LCD television monitors, identified as model A and model B. Each model has its lowest possible production cost when produced on Davison’s new production line. However, the new production line does not have the capacity to handle the total production of both models. As a result, at least some of the production must be routed to a higher-cost, old production line. The following table shows the minimum production requirements for next month, the production line capacities in units per month, and the production cost per unit for each production line:

                      Production per unit                         Minimum production

Model        New Line        Old Line                              requirements

A                   $30                $50                                          50,000

B                   $25                $40                                           70,000

Production  80000          60000

line capacity.

Let

AN- Units of model A produced on the new production line

AO Units of model A produced on the old production line

BN Units of model B produced on the new production line

BO Units of model B produced on the old production line

Davison's objective is to determine the minimum cost production plan. The computer solution is shown in Figure 3.21.

a. Formulate the linear programming model for this problem using the following four constraints:

Constraint 1: Minimum production for model A

Constraint 2: Minimum production for model B

Constraint 3: Capacity of the new production line

Constraint 4: Capacity of the old production line  

Solution :

<u>Linear programming model</u>:

Linear programming is defined as a mathematical model where the linear function is either minimize or maximize when they are subjected to some constraints.

The linear programming model is determined as follows :

Minimum : 30 AN + 50 AO + 25 BN + 40 BO

This is subject to the constraints as :

AN+AO \geq 60,000

BN+BO \geq 70,000

AN+BN \leq 80,000

AO+BO \leq 60,000

Learn more :

https://brainly.in/question/15044395

3 0
2 years ago
You (or your parents) purchase a used car for $15,867.00 plus 5.25% sales tax. The down payment is 10% of the total cost and you
elixir [45]

Answer:

$15,030.02

Step-by-step explanation:

Given: The cost of the car = $15867.00

Sales tax =  5.25% = 0.0525

Total cost = Cost of the car + sales tax

= $15,867 + $(15,867 x 0.0525)

= $15,867.00 + $833.02

= $16,700.02

The down payment is 10% of 16700.02

10% of the total cost = 0.1 x $16,700.02 = $1,670.00

Principal balance = Total cost - down payment

= $16,700.02 - $1,670.00

= $15,030.02

Thank you.

7 0
2 years ago
Which value is needed in the expression below to create a perfect square trinomial?
Klio2033 [76]

Answer:

The value which is needed to be added to transform the quadratic expression x^{2}+8x as a perfect square trinomial is 16.

Step-by-step explanation:

A quadratic expression is an expression in which the highest power of the variable is 2 or it can be said that the degree of the expression is 2.  

The identity for (a+b)^{2} is given as follows:  

(a+b)^{2}=a^{2}+b^{2}+2\times(a)\times(b)

<u>Step 1:  </u>

Break down the given polynomial x^{2}+2\times(x)\times(4).

<u>Step 2:  </u>

Now compare the polynomial with the above indentity.  

On comparing it is observed that the value of a is x and the value of b is 4.  

<u>Step 3:  </u>

In order to make the polynomial x^{2}+8x+ a perfect square, add 16 to the broked down polynomial because on comparing the above polynomials the value of b is 4 and the square of 4 is 16.  

x^{2}+2\times(x)\times4+16  

<u>Step 4:</u>  

Now as per the identity (a+b)^{2}=a^{2}+2\times(a)\times(b)+b^{2} the polynomial x^{2}+2\times(x)\times4+16 is written as follows:  

(x+4)^{2}.  

Therefore, the perfect square for the given polynomial is (x+4)^{2} which is created by adding 16 to the given expression.  

Learn more:  

  1. A problem to obtain the y-intercept of a quadratic function brainly.com/question/1332667  
  2. A problem to obtain the binomial and trinomial brainly.com/question/1394854  

Answer details  

Grade: Middle school  

Subject: Mathematics  

Chapter: Quadratic expression  

Keywords: Quadratic, quadratic expression, polynomial, quadratic polynomial, perfect square, trinomial, degree, highest power, transform, identities, break down, perfect square, middle term split, x^2+8x,methamatics, algebra.

6 0
1 year ago
Read 2 more answers
Jack and jill exercise in a 25.0-m-long swimming pool. jack swims nine lengths of the pool in 2 minutes and 34.5 seconds, while
grin007 [14]
Jack swims a distance of 9*25.0m=225.0 meters is 2 min and 34.5 seconds.

2 min and 34.5 seconds are 2*60sec +34.5 sec= 154.5 s


Jill covers 10*25.0m = 250 m in 154.5 s.


\displaystyle{ Average\ Speed= \frac{Distance\ traveled}{Time \ of \ travel}\\\\



\displaystyle{ Average \ Velocity =   \frac{Displacement}{time}



thus,

the speed of Jack is : 225.0 meters /154.5 s =(225/154.5) m/s = 1.46 m/s

the speed of Jill is : 250.0 meters /154.5 s =(250/154.5) m/s = 1.62 m/s


Assuming Jack and Jill depart from point 0 towards the positive direction, 

each even number of lengths, means Displacement = 0, and each odd number of lengths means Displacement = 25 m 


So, average Velocity of Jill is 0, 

average velocity of Jack is 25/ 154.5 = 0.16 m/s

Answer: 

Average Speed of Jack : 1.46 m/s

Average Speed of Jill : 1.62 m/s

Average Velocity of Jack : 0

Average Velocity of Jill : 0.16 m/s

5 0
2 years ago
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