Answer:
x≤3
Step-by-step explanation:
2(4+2x)≥5x+5
1) Distribute 2 to 4 and 2x:
8+4x≥5x+5
2) Subtract 4x from both sides:
8≥x+5
3) Subtract 5 from both sides:
3≥x
4) Rewrite with variable first:
x≤3
Let's say the shorter side is x.
So, the longer side would be ( 7 + x )
Now we have to use the Pythagorean Theorem to find the value of x.
a² + b² = c²
( 7 + x )² + x² = 13
7² + x² + x² = 13²
49 + 2x² = 169
2x² = 169 - 49
2x² = 120
x² = 60
x = √60
So the longer side is ( 7 + √60 ) and the shorter side is √60
Answer:
$1.60
Step-by-step explanation:
Set up an equation where you have the total oranges (o) on top and the cost (c) on the bottom. So you will have two fractions equaling each other. So you will have o/c=o/c. Now you just have to replace the variables with what you know. 9 oranges= $3.60, and you want to know how much 4 oranges cost. Since the cost per orange is the same, no matter how many oranges you buy if you divide the amount of oranges by the price you will always get the same number. So replace the variables with the numbers you know and you get,
9/$3.60=4/c
Now to solve an equal fraction problem, simply cross multiply (multiply the two numbers diagonal so 4 and 3.6), and divide (take the multiplied number and divide by the number remaining which will be the number diagonal from the variable) which gives you $1.60 for four oranges.
The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the number of months.
For Caroline's hair:
Length = (1/5)x + 7
For Trinity's hair:
Length = (1/10)x + 10
For Caroline's hair to be at least as long as Trinity's hair, hence:
(1/5)x + 7 ≥ (1/10)x + 10
The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10
Find out more on equation at: brainly.com/question/2972832
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Answer:
A = 14.2/1.1 hours
B = 5.091 hours
Step-by-step explanation:
Formulate 2 simultaneous equations
5.7A + 6.8B = 111.40..........(1)
A +B =18...............................(2)
Multiply each item in (2) by 5.7 to get
5.7A + 5.7B = 97.2............(3)
subtract (1) - (3) on each side
5.7A -5.7A + 6.8B - 5.7B = 111.40 -97.2
1.1B = 14.2
B = 14.2 /1.1
to get A use equation (2)
A = 18 - B
A = 18 - 14.2/1.1 = 5.091
