Multiply. Express the product in simplest form. 2 over 10 times 20 equals n A. 40 B. 20 C. 4 D. 1 over 100

On the first part of her trip Natalie rode her bike 16 miles and on the second part of the trip she rode her bike 42 miles. Her

-BARSIC- [3]

Answer:

14 mph ( average speed during the second part of the trip )

Step-by-step explanation:

Let´s call "x" the average speed during the first part then

t = 5 hours

t = t₁ + t₂ t₁ and t₂ times during part 1 and 2 respectively

l = t*v ( distance is speed by time ) t = l/v

First part

t₁ = 16/x and t₂ = 42 / ( x + 6)

Then

t = 5 = 16/x + 42 /(x + 6)

5 = [ 16 * ( x + 6 ) + 42 * x ] / x* ( x + 6 )

5 *x * ( x + 6 ) = 16*x + 96 + 42 x

5*x² + 30*x - 58*x - 96 = 0

5*x² - 28*x - 96 = 0

We obtained a second degree equation, we will solve for x and dismiss any negative root since negative time has not sense

x₁,₂ = [28 ± √ (28)² + 1920 ] / 10

x₁,₂ = ( 28 ± √2704 )/ 10

x₁ = 28 - 52 /10 we dismiss that root

x₂ = 80/10

x₂ = 8 mph average speed during the first part, and the average speed in the second part was 6 more miles than in the firsst part. then the average spedd dring the scond part was 8 + 6 = 14 mph

6 0

3 years ago

Which story problem could be solved using the given equation? 15×23=m Karen measured 23 cup of milk for a recipe. She then added

masya89 [10]

Answer:

Jasmine bought some tiles to put around her patio. Each tile has a length of 23 foot and a width of 15 foot.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the answer to this? −1.3≥2.9−0.6r

Karolina [17]

Answer:

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

Step-by-step explanation:

−1.3 ≥ 2.9 − 0.6r

Rewrite so r is on the left side of the inequality.

2.9 − 0.6r ≤ −1.3

Move all terms not containing r to the right side of the inequality.

Subtract 2.9 from both sides of the inequality.

−0.6r ≤ −1.3 − 2.9

Subtract 2.9 from −1.3.

−0.6r ≤ −4.2

Divide each term by −0.6 and simplify.

Divide each term in −0.6r ≤ −4.2 by −0.6. When multiplying or dividing both sides of an

inequality by a negative value, f lip the direction of the inequality sign.

−0.6r /−0.6 ≥ −4.2 /−0.6

Cancel the common factor of −0.6.

−4.2

r ≥ ______

−0.6

Divide −4.2 by −0.6.

r ≥ 7

The result can be shown in multiple forms.

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

6 0

3 years ago

This question is worth 20 points if someone answers it!

Nostrana [21]

The maximum number of tourists in the third week will be maximum in the numberville city.The solution of f(x)=h(x) will be x(5,2).

<h3>What are equations?</h3>

The equation is actually a relationship between the numbers and the variables.

To calculate the number of the tourists in the third week we will put the value 3 in every function:

$f(x)=x^2+5x+10=(3)^2+(3\times 3)+10=29\\\\\\g(x)=3^x=3^3=27\\\\\\h(x)=10x=10\times 3=30$

So we can see that the function third h(x) numberville city is having a maximum number of tourists.

The solution of f(x)=h(x) will be calculated as:

$x^2-3x+10=10x\\\\\\x^2-7x+10=0\\\\\\x^2-5x-2x+10=0\\\\\\x(x-5)-2(x-5)=0\\\\\\x=5,2$

Hence the solution of f(x)=h(x) will be x(5,2).

To know more about equations follow

brainly.com/question/2972832

#SPJ1

6 0

2 years ago

Area=33 sq ft has one side of 3 ft what is the perimeter

Zina [86]

The perimeter should be 11, since 33 divided by 3 is eleven.

6 0

3 years ago

Read 2 more answers