The <em><u>correct answer</u></em> is:
C.4.1 in
Explanation:
We will use a proportion for this problem.
In the first ratio, we have 6 inches: 80 pounds. This can also be written as 6/80.
For the second ratio, we do not know the length; this is x. The weight is 55; this gives us x/55.
This makes our proportion
6/80 = x/55
Cross multiplying, we have
6(55) = 80(x)
330 = 80x
Divide both sides by 80:
330/80 = 80x/80
4.125 = x
This means the answer is 4.1.
Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
The rule of the slope of a line is m =
, where
- (x1, y1) and (x2, y2) are two points lie on the line
Let us use these rules to answer the question
∵ The linear equation is y = -2x + 7
→ By comparing it with the form of the linear equation above
∴ m = -2
∵ m is the slope of the line represented by the given equation
∴ The slope of the line given by the linear equation is -2
From the given figure
∵ The line passes through points (6, 0) and (0, 6)
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope above to find it
∵ m = 
∴ m = -1
∵ m is the slope of the line shown in the graph
∴ The slope of the line shown in the graph is -1
Answer:
250 questions
Step-by-step explanation:
65 is equal to 26% of the total number of questions so:
65 / total number of questions (x) is equivalent to 26 / 100
(65 and 26 are a fraction of the whole thing. it doesn't matter whether they go on the numerator or denominator, as long as they are either both on one or the other)
65/x = 26/100
you can simplify this into
26x = 6500
/26 /26
then you divide by 26 on both sides to isolate the variable
x = 250
Answer:
k=3
Step-by-step explanation:
The given system of equations are


We need to find the value of k if the given system of equation have infinite number of solutions.
If two equations
and
have infinite number of solutions, then

Using this we get




Therefore, the value of k is 3.
X - intercepts y = 0, then
<span>4(0+3)=−2(x+6)
12 = -2x -12
2x = -24
x=-24/2
x = -12
</span>y- intercepts x = 0 then
4(y+3)=−2(0+6)
4y +12 = -12
4y = -24
y = -24/4
y = -6