Answer: x = 18
explanation: the two angles are congruent bc so you can set the equation up as 9x - 40 = 5x + 32 and then solve for x
hope this helps :)
The answer is: [C]: "30%" .
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Explanation:
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Note that: "%" ; or "percent" means "out of 100" ; or "divided by 100" .
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Method 1)
15/50 = ?/ 100 ;
Look at the denominators:
50 * (what value?) = 100 ? ; → "100 ÷ 50 = 2" ;
→ 50 * 2 = 100 ;
So: "15/50 = (15*2)/(50*2) = "30/100" ; which is "30%" .
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Method 2:
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"15/50" = (15÷5) / (50÷5) = 3/10 ;
3/10 = (3*10) / (10*10) = 30/100 ; which is: "30%" .
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Method 3: (slight variation of "Method 2" above):
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"15/50" = (15÷5) / (50÷5) = 3/10 ;
3/10 = 0.3 = 0.30 = (0.30 * 100) % = " 30% " .
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The solution to the first expression - 7+3(9-4)^2÷5 is given as 22.
To get the answer correctly, one must follow rudimentary rules of operations which are coined into the acronym BODMAS.
<h3>What is BODMAS?</h3>
This is the order in which mathematical operations must be executed.
B = Bracket
O = Orders (that is Powers, Indices or roots)
D= Division
M = Multiplication
A = Addition
S = Subtraction
Now lets see how we got 22 from the first set of operations:
<h3>Operation 1 (Example)</h3>
7+3(9-4)^2÷5 =
7+3 (5)^2÷5=
7+3 * 25÷5 =
7+3*5=
7+15=
22
Following the BODMAS rule and the example in Operation 1 above, we can state the remaining answers as follows:
<h3>
Operation 2</h3>
12/3-4+7^2 = 49
<h3 /><h3>
Operation 3</h3>
(7-3)×3^3÷9 = 12
<h3>Operation 4</h3>
5(7-3)^2÷(6-4)^3-9 = 1
<h3>Operation 5</h3>
3×(7-5)^3÷(8÷4)^2-5 = 1
<h3>Operation 6</h3>
9+(3×10)/5×2-12 = 9
See the link below for more about Mathematical Operations:
brainly.com/question/14133018
Answer:
4 inches
Step-by-step explanation:
The computation of the scale that should be required to reproduced that fitted on the brochure is
Given that
Length of rectangular park = 4 inches
And the Breadth of rectangular park = 6 inches
As we know that
Area of rectangular park = length × breadth
= 4×6
= 24 square inches
Now the scale that required to reproduced is
= 24 ÷ 6
= 4 inches
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of 
.
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is 
, and since for our cylindrical box the volume is 150 cubic inches; therefore,
putting in 
and solving for height 
we get
,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
