9514 1404 393
Answer:
- 3 ounces of 75%
- 7 ounces of 45%
Step-by-step explanation:
Let x represent the number of ounces of 75% silver needed. Then (10-x) is the number of ounces of 45% silver. The total silver required is ...
0.75x +0.45(10 -x) = 0.54(10)
0.30x +4.5 = 5.4
0.30x = 0.9
x = 0.9/0.3 = 3 . . . . . ounces of 75% silver
10-x = 7 . . . . . ounces of 45% silver
Luis needs 7 ounces of 45% silver and 3 ounces of 75% silver.
ANSWER

EXPLANATION
We want to find the equation of the straight line given on the graph.
The general form of a linear equation is given as:

where m = slope; b = y-intercept
To find the slope, we apply the formula for slope:

where (x1, y1) and (x2, y2) are two points on the line
Let us pick (1,2) and (4,4)
Therefore, the slope is:

To find the equation, we now apply the point-slope formula:

Therefore, we have that the equation of the line is:

That is the equation of the line.
Answer:
The sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4 is 2555.
Step-by-step explanation:
Given:
a = 5
d = 4
To Find :
The sum of first 35 terms of the arithmetic sequence = ?
Solution:
Step 1 : finding the 35th term





Step 2: Finding the sum of first 35 terms

Substituting the values





ANSWER
The orthocenter is 
<u>EXPLANATION</u>
The orthocenter is the point of intersection of all the altitudes of a triangle.
If it is a right angle triangle then the orthocenter is the point at which the <em>right angle is made.</em>
If it is not a right angle triangle, then you have to find the equations of any two of the altitudes and solve simultaneously.
So you must first check to see if it is a right angle triangle that way you do not have to do bunch work.
The given triangle has vertices
,
, and
.



Since the denominator is zero, the slope is undefined.
If the slope of a straight line is undefined, then that line is <em>parallel to the y-axis</em>. In other words, it is a <em>vertical line</em>.








if a straight line has a slope of zero, that line is parallel to the <em>x-axis</em> or it is <em>horizontal.</em>
From the slopes we can see that side KL of the triangle is horizontal and side JK is vertical. This two sides will meet at right angles at K.
See graph.
Therefore the coordinates of K,
is the orthocenter of the given triangle.
So "one fourth of her number" basically means 1/4 of an unknown number, x. So 1/4x. then susan subtracts 11. So its 1/4x - 11 = 11 (because she gets 11)