Answer:
x= 3.5 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer: 0.57 hours each day or 34.28 minutes each day.
Step-by-step explanation:
1. You know that:
-Alejandra worked on the animal report for school for 4 hours in a week.
- A week has seven days.
2. Therefore, to calculate the number of hours she worked on the project each day (which you can call
), you can divide the number of hours worked on in a week by 7 days.
3. Therefore, you obtain the following result:

Multiply the result by 60 to obtain the time in minutes, then:

Answer:
Given system of equations:

To solve by substitution, equate the equations and solve for x:

Therefore, the x-values of the solution are
and
.
To find the y-values of the solution, substitute the found values of x into the functions:




Therefore, the solutions to the given system of equations are:
and 
The circumference of the circle that has a radius of 28 cm is: 175.9 cm..
<h3>What is the
Circumference of a Circle?</h3>
Circumference of a circle = 2 × π × r, where r = radius of the circle.
Given that a circle has:
radius (r) = 28 cm
Therefore:
Circumference of the circle = 2 × π × r
Plug in the value of r
Circumference = 2 × π × 28
= 175.9 cm.
Learn more about circumference of circle on:
brainly.com/question/20489969
Answer:
5 x^2 y^ (-3) z = ?
Step-by-step explanation:
We know the volume of a rectangular prism is given by
V = l*w*h
V = 2x^2 * y^-2 * ?
We are given the volume
V =10x^4 y^-5 z
Set the two equal
10x^4 y^-5 z = 2x^2 * y^-2 * ?
Divide each side by 2x^2 y^-2
10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2
10x^4 y^-5 z/ 2x^2 y^-2 = ?
Simplifying
10/2 * x^4/x^2 y^-5/ y^-2 z = ?
We know that a^b/ a^c = a^(b-c)
5 x^ (4-2) y^(-5 - -2) z = ?
5 x^2 y^ (-5 +2) z = ?
5 x^2 y^ (-3) z = ?