Answer:
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
Step-by-step explanation:
For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.
Hence:
She has two sides of length 18 inches and 27 inches
Let the third side = x
Hence:
a) 18 + 27 > x
45 > x
b) 18 + x > 27
x > 27 - 18
x > 9
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
Answer: 6 children
Step-by-step explanation:
Given:
Children - 24
Groups - 4
Number of children per group - x
Solve:
24 ÷ 4 = x
x = 6
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The value of x and y in the equation -5x + 8y = -21 and 3x - 4y = 15 are 9 and 4 respectively.
<h3>What is an equation?</h3>
An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
The equation is given as:
-5x + 8y = -21
3x - 4y = 15
Multiply equation i by 3
Multiply equation ii by 5
-15x + 24y = -63
15x - 20y = 75
Add both equations
4y = 12
Divide
y = 12/4
y = 3
From 3x - 4y = 15
3x - 4(3) = 15
3x - 12 = 15
Collect like terms
3x = 12 + 15
3x = 27
Divide
x = 27/3
x = 9
Therefore, x = 9 and y = 4.
Learn more about equations on:
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Answer:
3) D
4) C
Step-by-step explanation:
1/2 + 1/4 = 3/4
17.6-4.4 = 13.2
Answer:
A centimeter is 1/100th of a meter. It would take the length of 100 cm to equal the length of a single meter. A centimeter is equivalent to 0.39 inches. ... A meter is equal to 3.28 feet, 1.09 yards or 0.00062 miles.
Step-by-step explanation:
