<h2>
Hello!</h2>
The answer is:
It takes Ella 3 seconds to do a push-up and 3 seconds to do a sit up.
<h2>Why?</h2>
To find how many seconds Ella took to do a push-up and a sit-up we must write two equations using the given information.
Let be "x" the time needed to push-ups and "y" be the time needed to do sit-ups.
So, writing the equations we have:
First equation,
If she can do 13 push-ups and 7 sit-ups in 60 seconds, we have:
Second equation,
If she can do 13 push-ups and 19 sit-ups in 96 seconds, we have:
Now, creating a system of equations, and using the reduction method to solve it, we have:
Multiplying the first equation by -1, we have:
Then, substituting "y" into the first equation, we have:
Hence, we have that It takes Ella 3 seconds to do a push-up and 3 seconds to do a sit up.
Have a nice day!
The measure of each interior angle of the hexagon is 120°. Then the value of x will be 20°.
<h3>What is a polygon?</h3>
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular hexagon is shown below.
Then the internal angle of the hexagon is (5x + 20)°.
Then the value of x will be
We know that each interior angle of the hexagon is 120°.
Then we have
5x + 20 = 120
5x = 100
x = 20
More about the polygon link is given below.
brainly.com/question/17756657
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Gosh, I've done this problem before. Let's start with 13. In this problem, we're basically just skip counting. For example, in the roses row, in the second bouquet, we know we have to add 4 more flowers, so we can document 8. Continue to skip count for both. For 15, we would have about 96 more movie posters remaining, making our ratio 96:x. So, 96:x = 120:100. Therefore, x would equal 80- as 96:80 equals 120:100. If she needs 80 and already had 100, she should sell 20 posters. Hope this helped.
Answer:
x=7/6
Step-by-step explanation:
subtract the 4x from both sides of the equation
(2x+6)-4x=4x-3-4x
find common denominator
(2x+6)/5+(5(-4)x)/5=4x-3-4x
then combine fractions
(2x+6+5(-4)x)/5=4x-3-4x
then multiply the 5&4
(2x+6-20x)/5= 4x3-4x
combine terms
(-18x+6)/5= -3
then multiply everything by 5
-18x+6= -15
subtract the 6 from both sides
-18x= -21
divide -21 by -18
(-21)/(-18)=x
find greatest common multiple (3) and solve
x = 7/6
Answer:
Step-by-step explanation:
This rectangular prism is packed with unit cubes with edge lengths of 12 inch each. Which are the dimensions of the rectangular prism? A 812×312×412 B 8×3×4 C 412×212×112 D 4×2×112
The volume of a rectangular prism when given edge length = (Edge length)³
Hence,
Volume = (12 inch)³
Volume = 1728 cubic inches
Therefore, from the above options given, the possible dimensions of the Rectangular prism =
