The amount of shirts and pants the clothier makes is an illustration of a linear equation
The equation that represents the number of shirts, and the number of pants is 4s + 6p = 40
<h3>How to determine the equation</h3>
The rates are given as:
Shirts = 4 hours
Pants = 6 hours
In time t, the shirts and pants made is represented with:
t = 4s + 6p
Given that the time is 40 hours, the equation becomes
4s + 6p = 40
Hence, the equation that represents the number of shirts, and the number of pants is 4s + 6p = 40
Read more about linear equations at:
brainly.com/question/14323743
Hello,
When we have a quadrilateral inscribed in a circle, the opposite angles add up to 180 degrees (supplementary).
Therefore, we can write and solve the following equation first with angles B and D.
3x + 9 + 2x - 4 = 180
5x + 5 = 180
5x =175
x = 35
Then, sub 35 in the expression for angle A and you will get:
2(35) + 3
70 + 3
73
Angle A is 73, that would make angle C equal to 107 degrees, because 180 - 73 = 107.
Good luck,
MrEQ
Answer: The other child is "6 years old".
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Explanation:
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Set up the ratio as a fraction:
→ " 2/3 = 4/x " ; Solve for "x" (the age; in "years", of the "other child") ;
<u>Note</u>: GIven the ratios of two children is: 2:3 ; and there is a younger child among the two children; the number "2" would represent the "younger child; since there are 2 (two) children; and there are 2 (two) numbers in the given ratios; and among the 2 (two) numbers given in the ratio — which are: "2" and "3" ; the given number: "2" is LESS THAN the given number "3" ;
As such:
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→ " 2/3 = 4/x " ; Solve for "x" ;
Cross-multiply;
2x = 3*4 ;
2x = 12 ;
Divide each side of the equation by "2" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
2x/2 = 12/2 ;
to get:
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" x = 6 "
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Alternate method:
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Set up the ratio:
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→ " 2/3 = 4/x " ; Solve for "x" ;
Recognize that: "2/3 = 4/6" ; and that: "x = 6" ;
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Alternate method:
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Set up the ratio:
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→ " 2/3 = 4/x " ; Solve for "x" ;
In the "numerator": → " 2 * [what value?] = 4 ? "
→ To find that value: " 4 ÷ 2 = "2 " .
As such: Multiply the given: "3" in the "denominator" by "2" ; to get:
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"3 * 2 = "x" ; ↔ " x = 6 " .
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Answer: The other child is "6 years old".
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Check our answer:
The given ratio: 2/3 =? 4/6 ? Yes!
{You can even check this using a calculator—if you wish.}.
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