The correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
<h3>Solving inequality</h3>
From the question, we are to solve the inequality
The given inequality is
–3(2x – 5) < 5(2 – x)
First, clear the brackets
–6x + 15 < 10 – 5x
NOTE: This is one of the correct representations of the inequality
Collect like terms
-6x + 5x < 10 - 15
-x < -5
Divide both sides by -1 and flip the sign
x > 5
Representing this on a number line, we get a number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is pointing to the right.
Hence, the correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
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Triangle A B C is reflected across BC and then is rotated about point C to form triangle D E C.
1) Since SSS Postulate states that if the three sides of one triangle have the same measure as another triangle then both triangles are congruent.
<h3>
What is the consequence postulate?</h3>
The consequence of this Postulate is that these triangles have respectively the same angles.
We have given that,
Triangles A B C and D E C are connected at point C.
Triangle A B C is reflected across BC and then is rotated about point C to form triangle DEC.
2) Notice below both triangles SSS, an example, in this case, an isosceles triangle, firstly reflected (grey one ) then rotated by point C.
To learn more same triangle visit:
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<span>Step 1: Simplify both sides of the equation.
</span>1/2 (6−z) = <span>z
</span><span>
(1/2) (6) + (1/2) (-z) = z (distribute)
3 + -1/2z = z
-1/2z + 3 = z
</span><span>Step 2: Subtract z from both sides.
</span><span>
-1/2z + 3 - z = z - z
-3/2z + 3 = 0
</span><span>Step 3: Subtract 3 from both sides.
</span><span>
-3/2z + 3 - 3 = 0 - 3
-3/2z = -3
</span><span>Step 4: Multiply both sides by 2/(-3).
</span><span>
(2/-3) * (-3/2z) = (2/-3) * (-3)
z = 2
Answer: z = 2
I hope this helps you!:) Sorry it took me so long!
</span>
Given parameters:
Cost of paint per month = $320
Cost of quality plain shirts = $9 each
Selling price = $24
Rent per month = $100
Unknown:
Number of shirts Sam has to sell to break even = ?
Solution :
Let the number of shirt sold each month = y
To break even the cost price per shirt must be equal to the selling price;
i.e;
Cost price = selling price at break even point;
Cost price = Cost of paint + Cost of quality plain shirt + Cost of rent
= 320 + 9y + 100
= 420 + 9y
Selling price = 24y
To break even;
420 + 9y = 24y
420 = j24y - 9y
420 = 15y
y =
= 28
To break even, Sam must sell 28 shirts in a month.
Answer:
$-17
Step-by-step explanation:
Well, she has $28, and wants to get a loan for a pair of shoes. That means she will have negative money in her account. This is because $45 is greater than $28 and the $28 is the one being taken from. This leaves the answer to be $-17.