Simplify the expression using the order of operations show all your work 150- (4²+4) ÷ 2

A bag of sweets contains mints and toffees only.There are 21 mints in the bag.One quarter of the sweets are toffees.Calculate th

Vedmedyk [2.9K]

Answer:

Total number of sweets in the bag is 28

Step-by-step explanation:

let the total number of sweets in the bag be x :

${ \tt{for \: toffees : }} \\ \frac{1}{4} \: of \: x$

therefore fraction of mints = 1 - fraction of toffees :

$= \frac{4}{4} - \frac{1}{4} \\ \\ = \frac{3}{4}$

therefore:

$= > \frac{3}{4} \: of \: x = 21 \: mints \\ \\ \frac{3}{4} \times x = 21 \\ 3x = 21 \times 4 \\ x = \frac{21 \times 4}{3} \\ x = 28$

total sweets number is 28

5 0

3 years ago

In the number 3,657,892 which digit is in the millions place

Elan Coil [88]

The number that is in the millions place is 3

6 0

3 years ago

14. Quadrilateral ABCD is located at A(2,0), B(3,-4), and C(7,-5). What are the

Vsevolod [243]

Answer:

A

Step-by-step explanation:

A rhombus is a quadrilateral whose four sides all have the same length. if you look at the picture I sent, A(6,-1) forms a rhombus where all of the sides are an equal length.

5 0

3 years ago

Item 18

nlexa [21]

Approximately 14%

14-12=2
2/14=1/7
1/7*100=14.29
14.29%

3 0

3 years ago

LN bisects KLM into two congruent angles measuring (3x-4) and (4x-27). Find klm

Vanyuwa [196]

Answer:  The m ∡KLM is: 130° .
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Explanation:
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(3x − 4) = (4x − 27) ; (Since these are "bisected, congruent angles", they are equal).

⇒ 3x − 4 = 4x − 27 ;

⇒ Subtract "4x" from EACH SIDE of the equation; and add "4" to EACH SIDE of the equation;

⇒    3x − 4 − 4x + 4 = 4x − 27 − 4x + 4 ;

to get:

⇒ - 1x = -23 ;

⇒ Divide EACH SIDE of the equation by "-1" ; to isolate "x" on one side of the equation; and to solve for "x" ;

⇒ -1x / -1 = -23 / -1 ; to get:

⇒ x = 23;
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To find m ∡KLM :

m ∡ KLM = (3x − 4) + (4x − 27) ;

{Note: Remember: (3x − 4) = (4x − 27) } ;

So, plug in our solved value for "x" ; which is: "x = 23" into one of the expressions for one of the congruent angles.

Let us start with: "(3x − 4)" .

(3x − 4) = 3x − 4 = 3(23) − 4 = 69 − 4 = 65 .

By plugging in our solve value for "x" ; which is: "x = 23" ; into the expression for the other congruent angle, we should get: "65" ;

Let us try:

(4x − 27) = 4x − 27 = 4(23) − 27 = 92 − 27 = 65. Yes!
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So to find m ∡KLM:

(3x − 4) + (4x − 27) = 65 + 65 = 130° .
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Alternate method:
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At the point which we have:
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To find m ∡KLM :

m ∡ KLM = (3x − 4) + (4x − 27) ; and at which we have our solved value for "x" ; which is: "x = 23" ;
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We can simply plug in our known value for "x" ; which is: "23" ; into the following:
m ∡ KLM = (3x − 4) + (4x − 27) = [(3*23) − 4] + [(4*23) − 27] ;
                                                  = (69 − 4) + (92 − 7) = 65 + 65 = 130° .
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{Note: Using this method, we determine that each angle is equal; that is, "65° ".}.
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4 0

3 years ago