alis dog weighs 8 times as much as her cat. together, the two pets weigh 54 pynds. how much does Alis dog weigh?
Answers
The weight of the Alis dog is pounds.
Further explanation:
Consider the weight of the Alis dog as poundsand weight of the cat as
pounds.
Since, the weight of the Alis dog is 8 times the weight of the cat. It can be written as follows:
......(1)
Now, the total weight of the cat and dog are given as 54 pounds. It can be written as follows:
......(2)
From equation (1), substitute for
in equation (2).
Thus, the weight of the cat is 6 pounds.
Substitute 6 for in equation (1) to obtain the weight of Alis dog as follows:
Thus, the weight of the Alis dog is 48 pounds.
Learn more:
1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}
2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12
3. What are the domain and range of the function f(x) = 3x + 5?
Answer Details :
Grade: Middle School .
Subject: Mathematics .
Chapter: linear equation.
Keywords:
lines, equation, pound, Alis dog, cat, weight, linear equation, zeros, x,y,x=8y,x+y=54, function, substitution, pets, direct substitution, elimination, graph, middle term factorization, fraction.
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Answers
The equation of the line in slope-intercept form is y = 5 / 2x +5.
What is the equation?
A formula known as an equation uses the equals sign to denote the equality of two expressions.
The standard equation of the line in slope-intercept form is given by,
y = m × x + c
Here m is the slope of the line and c is the y-intercept.
As we can see from the graph, the line cut the y-axis on 5,
so c = 5,
Slope (m) = (5-0) / [0-(-2)]
m = 5 / 2
Hence, the equation is
y = 5 / 2x +5
Therefore, the equation is y = 5 / 2x +5.
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Answer:
y=5/2x+5.
Step-by-step explanation:
Enter your answer in the boxes.
Answers
if you get it wrong I am really sorry for that.
Answers
No it does not represent the same length on a number line.
What is number line?
A number line is a pictorial representation of numbers on a straight line.
here, we have,
3/7 and 7/3
now, 3/7 =0.42 <1
and, 7/3 = 2.33 >1
so, we get,
3/7 is below 1.
And 7/3 is an improper fraction and can be simplified to 1 1/3.
hence, No, it does not represent the same length on a number line.
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Answers
First let's convert all of these into centimeters using the correct conversions:
Therefore we can rank them in order now:
18mm < 7 cm < 3 dm < 1 m
Answers
Answer:
p(x) = 7/5 x + 5.
Step-by-step explanation:
The slope of the function = difference in values / f(x) / difference in values of x
= (19-12) / (10 - 5) = 7/5
also:
(26-19) / ( 15 - 10) = 7/5
and (33-26) / (20-15) = 7/5.
Answers
the reason you would take the 8 out is because you can divide both 24 and 56 by 8 and get a clean answer:)