The store is 15 min. away from my house, it takes 30 min. to get to and from the store. How come my dad isn't back with milk yet?

Answer:

Data that we know:

He drove 504km in each direction.

Going, the average speed was 14km/h more than returning.

The total trip lasted 21 hours.

Ok, to solve this first:

Let's define the variables:

Sg = Average speed when going.

Sr = Average speed when returning.

Then we can write one of our relationships as:

Sg = Sr + 14km/h.

Now, you can recall the relation:

Time = Distance/speed.

Then we can write the equation that represents the total time of the travel as:

504km/Sg + 504km/Sr = 21h

Now we can replace the Sg by Sr + 14km/h, and get:

504km/(Sr + 14km/h) + 504km/Sr = 21h.

Now we must multiplacate by each denominator, in order to remove them:

504km*Sr + 504km*(Sr + 14km/h) = 21h*Sr*(Sr + 14km/h)

Sr*1008km + 7056km^2/h = 21h*Sr^2 + 294km*Sr

Now we can write a cuadratic equation, where i will ignore the units so it is easier to read, as:

21*Sr^2 -714*Sr - 7056 = 0

The solutions are given by the Bhaskara formula:

[tex]Sr = \frac{714 +- \sqrt{714^2 - 4*21*(-7056)} }{2*21} = \frac{714 +- 1050}{42}[/tex]

We have two solutions, one negative and one positive, and because Sr represents an average speed, it must be a positive number, then we choose the positive solution:

Sr = (714 + 1050)/42  km/h = 42km/h

Now we have the average speed for the returning, with this we can find Sg.

Sg = Sr + 14km/h = 42km/h + 14km/h = 56km/h.

Answer:

a

Step-by-step explanation:

Solving the inequality

[tex]\frac{x+3}{6}[/tex] > [tex]\frac{x}{4}[/tex] + 1

Multiply through by 12 ( the LCM of 6 and 4 ) to clear the fractions

2(x + 3) > 3x + 12

2x + 6 > 3x + 12 ( subtract 2x from both sides )

6 > x + 12 ( subtract 12 from both sides )

- 6 > x , that is

x < - 6

The only value less than - 6 is - 10

Thus x = - 10 is a solution to the inequality

The first arrow goes from 0 to 3, which is 3 units.

The second arrow goes from 3 to 6, which is another 3 units.

The total units is 3 + 3 = 6

This means you have 2 different sets of 3, which can be modeled by 2 x 3.

The second choice is correct.

Answer:

45

Step-by-step explanation:

Since

5 : 225 = 1 : X

Then we know

225/5 = X/1

Multiplying both sides by 1 cancels on the right

1 × (225/5) = (X/1) × 1

1 × (225/5) = X

Then solving for X

X = 1 × (225/5)

X = 45

Therefore

5 : 225 = 1 : 45

Answer:45

Step-by-step explanation:well all you do is divide 5 from 225

Answer:

C. 100$

Step-by-step explanation:

Its really easy you just do 4 x 20 then you get 80 then you add 20 because your finding the total which 20 + 80 = 100

Answer:

I'm leaning mostly towards C Because there is a solution, None of them are real numbers and if they were, S would = 5 Especially positive S

~ Zachary

Answer;

75 degrees

Step-by-step explanation:

80+10=90  90-15=75

pens 8 it should be right

Answer:

Diameter = 14 feet

Step-by-step explanation:

Refer to image

Answer:

2.07

Step-by-step explanation:

Answer:

2.07

Step-by-step explanation:

The reason for that is if the thousandths place was greater that 5 it will change the 7 to an 8

so when rounding the number will change if it is greater than 5

if  less than it will stay the same and the rest will become 000 after it

2.07000 but  an easier way to say it is 2.07

Answer:

its the first one. hope this helps

Answer:  Choice D

Step-by-step explanation:

p=2w+2l  Subtract 2w from both sides

p - 2w = 2w - 2w +2l   2w-2w = 0 cancels

p- 2w = 2l . Divide both sides by 2  2/2 =1 cancels leaving l isolated

p - 2w/2 = l

Reverse

l =  p-2w/2

Step-by-step explanation:

we know that xy+yz=xz

so if we fill in what we know

5m+1m=25

solve from there

Step-by-step explanation:

question is not clear

≈ 24 cm

Hi there !

c = 2πr  } => c = πd => d = c/π

2r = d

replace c ; π

π  =3.14

d = 74cm/3.14

= 23.5668

≈ 24 cm

Good luck !

Answer:

Each cookie costs $1.30

Step-by-step explanation:

7x+2=11.10

Subtract 2 from both sides

7x=9.10

Divide both sides by 7

x=1.30

Answer: 88%

Step-by-step explanation: 50-6=44. He got 44 problems correct. 44/50=.88.

Answer:

88%

Step-by-step explanation:

50-6=44

44/50=88

Convert the fraction to a decimal, then multiply by  100  .

Answer:

x = -4

Step-by-step explanation:

Subtract 17 on both sides to get 6x = -24 then divide 6 to both sides to get your answer of x = -4

First, you need to get 6x by itself. So you would subtract 17 from both sides. After that you should have 6x= -24.Then you need to get x by itself. You divide 6 from both sides. The answer is x= -4.

Hope this helps!!

Answer:

the third one

Step-by-step explanation:

first you would multiply the mass and the "amu" of both of the isotopes of copper when you have what you multiplyed, you add that product and get your answer.

Answer:C

Step-by-step explanation:

Answer:

A: The data does represent a function because there are no repeating x values. a function can have repeating y values but cannot have repeating x values. Also, there is one value of y for every value of x.

B: f(x)=1/2x

f(x)= 3x-10

f(8)=1/2(8) ----> 4

f(8)=3(8)-10 ----> 14

f(x)=3x-10 has a greater value when x=8

C:  f(x)=1/2x

f(x) = 80

80=1/2x  

80*2=x

x=160

Step-by-step explanation:

The data in the table is a function. The relation has f(x) = 3x - 10 has greater value when x = 8. And the value of x is 30 when f(x) = 80.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Part A :

The table has the data values,

x : 2  4  6  8

y : 1  2  3  4

The given data represents a function, because elements in the domain (2, 4, 6 and 8) has only one image in the Range (1, 2, 3 and 4).

Part B :

f(x) = 3x - 10

x = 2, then f(x) = y = -4

x = 4, then f(x) = y = 2

x = 6, then f(x) = y = 8

x = 8, then f(x) = y = 14

The relation f(x) = 3x - 10 has the greater value when x = 8.

Part C :

f(x) = 80

3x - 10 = 80

3x = 80 + 10

3x = 90

x = 90 / 3

x = 30

Hence the relation in the table is a function. The second relation f(x) = 3x - 10 has the greater value when x = 10 after computing the values of both the relations.

To learn more about Functions, click :

https://brainly.com/question/6241820

#SPJ2

Answer:

x=[tex]\sqrt5/2[/tex] , x = -[tex]\sqrt5/2\\[/tex]

Step-by-step explanation:

2x^2-5=0

add 5 to both sides

2x^2-5+5=0+5

2x^2=5

(2x^2/2) = 5/2

x^2=5/2

x=[tex]\sqrt5/2\\[/tex] , x = -[tex]\sqrt5/2[/tex]

To determine the nature of the roots of the quadratic equation y [tex]= 2x^2 - 5[/tex], we can analyze its discriminant (denoted by Δ).

The discriminant is calculated using the formula Δ [tex]= b^2 - 4ac,[/tex] where a, b, and c represent the coefficients of the quadratic equation in the standard form [tex]ax^2 + bx + c = 0.[/tex] For the given equation, a [tex]= 2,[/tex] b [tex]= 0,[/tex]and c [tex]= -5.[/tex]Plugging these values into the discriminant formula, we have: Δ [tex]= 0^2 - 4(2)(-5) Δ = 0 + 40 Δ = 40[/tex]The discriminant is positive, indicating two distinct real roots.

Since the discriminant is greater than zero, we can conclude that the roots of the equation are real and different. Therefore, the nature of the roots for y[tex]= 2x^2 - 5 i[/tex]s that it has two distinct real roots.

To know more about quadratic equation visit:

https://brainly.com/question/29269455

#SPJ2

Answer:

Yes (A)

Step-by-step explanation:

The right angle (90 degree angle) at H makes it a right triangle

Answer:

just do what it says

Step-by-step explanation:

Answer: 5/78

Step-by-step explanation: u simplify

Answer:

5/78

Step-by-step explanation:

Divide both parts by 10.

Hope I helped :)

Answer:

i think its co-insurance

Step-by-step explanation:

the percentage you must pay for care after you've met your deductible