Answer:
x = 20
Step-by-step explanation:
These two angles are equal:
5x + 7 = 6x - 13
Subtract 5x from both sides.
7 = x - 13
Add 13 to both sides.
20 = x
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Answer:
3 packages
Step-by-step explanation:
Given
See attachment for complete question
Required
The packages less than 30 kg.
To do this, we simply add up the frequencies of packages less than 30 kg.
From the chart, we have:
So, the total is:
<em><u>Fractions</u></em><em><u> are integers that have both a numerator and a denominator. </u></em>They are represented as;
Where:
<em>x = Numerator</em>
<em>y = Denominator.</em>
<em />
To solve the above question, we would be applying the operations of the addition of fractions.
It will take both of them hours if they worked together.
From the question,
Nyesha takes 50 hours a week to render services to her customers.
Shantese takes 60 hours a week to do the same amount of work.
Let us represent the number of hours it will take them both to decorate the room working together as "T"
Hence,
1/T = 1/50 + 1/60
Lowest Common Denominator for (50, 60 ) = 300
Hence,
1/T = 6 + 5 / 300
1/T = 11/300
Find the reciprocal of both sides
T = 300/11 hours
T = <u>hours</u>
Therefore, it will take them both of them hours in they both work together.
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Answer:
3 grams
Step-by-step explanation:
We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:
Mass of strip = denisty * area = (1+x)*y*deltax grams
now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!
**pretend ∈ is the sum symbol
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 * 1/3 = 1
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2
Total mass = mass left + mass right = 1 + 2 = 3 grams
Answer:
=2977
Step-by-step explanation:
-2317 - (-5294)
-2317 + 5294
2977