MATHEMATICS HIGH SCHOOL

Adela rode her bicycle 18.3 miles in 5 hours. Which gives the best estimate of how far Adela rode in 1 hour?

Answers

Answer 1

Answer:

Answer:

estimate between 3 and 4 miles

Step-by-step explanation:

18.3 divided by 5 gives you 3,66 which is between 3 and 4 miles

Answer 2

Answer: I think you dive 18.3 by 5 which gives you 3.66

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Find perimeter of a square if its diagonal is 10 cm

Answers

Answer:

20√2 cm

Step-by-step explanation:

The diagonal of a square forms a right triangle with it's 2 sides.

Going step by step, lets refer to the side of a square as x.

Our triangle will have 2 legs of x and a diagonal of 10. We can either use the 45:45:90 method or use Pythagorean. The 45:45:90 method is more simpler so I will show the step by step method through Pythagorean, which the 45:45:90 method is derived from anyways.

x^2 + x^2 = 10^2

2x^2 = 100

x^2 = 50

x = √50 = 5√2

The perimeter is equal to the sum of all the square's sides, which modeled by x would equal 4x.

so the perimeter would be 4 * 5√2 which is 20√2

Hope this helps :)

Add -3.8 + 9.8 + 5.7

Answers

Answer:

- 0.3

Step-by-step explanation:

Factor this please: x^4-9x^2+20

Answers

Your answer is (x+2)(x-2)(x^2-5)

x = ± √5 = ± 2.2361 x = 2 x = -2

A una granja llegaron 54 ovejas 24 vacas 30 cerdos los cuales se quieren repartir en corrales con igual numero de animales de forma que haya la mayor cantidad posible en cada corral ¿cuantos animales posibles deben ir en cada uno de los corrales?

Answers

Answer: 6 animals should go in each pen.

Step-by-step explanation:

Total sheep = 54

Total cows = 24

Total pigs = 30

Highest number of animals are possible in each pen such that animals are distributed in pens with the same number = Greatest common divisior (54,24, 30)

54= 6 x 9

24= 6 x 4

30 = 6 x 5

So, Greatest common divisior (54,24, 30) = 6

Hence, 6 animals should go in each pen.

Tri City sells four times as many dishwashers as Solly Company. The difference between their sales is 96 dishwashers. How many dishwashers did each sell?

Answers

First of all, we have to set variables to represent the given in the problem. We have to set variables for the sales of Tri City and the sales of Solly Company. Hence,

let T be the sales of the Tri City Company and
let S be the sales of the Solly Company

Secondly, we are going to translate into mathematical terms the relationship between the two variables. Hence,

T=4S (1)
T-S=96 (2)

We have two linear equations and two unknowns so this problem is answerable. We substitute equation (1) into equation (2) to give us

4S-S=96
3S=96
S=32

Solving for T gives us

T-32=96
T=96+32
T=128

So, Tri City sold 128 dishwashers while Solly Company sold 32.

Based on the graph below, what is the solution to the equation f(x) = g(x)?graph of function f of x equals negative x plus 2.5 and graph of function g of x equals x squared plus 2 multiplied by x minus 8

Answers

The wording of the second function may be interpreted in several differente ways. These are some:

g(x) = (x^2 +2)(x-8)
g(x)=x^2 + 2(x-8)
g(x) x^2 +2x - 8

I will work with the last one, so my system of equation is:

f(x) = - x +2.5
g(x) = x^2 + 2x - 8

f(x) = g(x) ⇒ - x + 2.5 = x^2 + 2x - 8

x^2 + 3x - 8 - x - 2.5 = 0

x^2 + 3x - 10.5 = 0

Use the quadratic formula to solve for x:

x = [ - 3 +/- √(3^2) - 4(1)(-10.5) ]/2

x = - 5.07 and x = 2.07

The solution of the equation f(x) = g(x) are x = 3.055 or x = -6.055 if the f(x) = -x + 2.5 and g(x) = x² +2(x - 8)

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) = -x + 2.5

g(x) = x² +2(x - 8)

f(x) = g(x)

-x + 2.5 = x² +2(x - 8)

After simplification:

x² + 3x - 18.5 = 0

After solving, we get:

x = 3.055 or x = -6.055

Thus, the solution of the equation f(x) = g(x) are x = 3.055 or x = -6.055 if the f(x) = -x + 2.5 and g(x) = x² +2(x - 8)

Learn more about the function here:

brainly.com/question/5245372