The system shown has ____

A discount store takes 50% off of the retail price of a desk. For the store's holiday sale, it takes an additional 20% off of al

Serhud [2]

We are given the retail price of desk as $320. The store takes 50% off of the retail price of desk, then its price would become half of the original.

So its new price would be $160.

Now it says that it takes an additional 20% off of all furniture on store's holiday sale. So we need to cut off 20% from new price $160.

Holiday discount = 20% of $160 = 0.2 × 160 = 32.

Final selling price would be = $160 - $32 = $128.

So $128 is the final answer.

3 0

3 years ago

Read 2 more answers

Tell me what each angle is in the following triangle: angle 1 is 8x, angle 2 is 2x+3, angle 3: 30 degrees. give me the two answe

9966 [12]

Answer: 117.6° ; 32.4° .
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Explanation:
_______________________________________________________
Note: ALL triangles, by definition, have exactly 3 (THREE) sides and exactly 3 (THREE) angles.
_____________________
We are given the following:
_______________________
We have a triangle.

Angle 1: m∡1 = (8x) ;

Angle 2: m∡2 = (2x + 3) ;

Angle 3: m∡3 = 30.
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We are asked to find: "m∡1" and " m∡2" .
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Note: In ALL TRIANGLES, the measurements of all THREE (3) angles ALWAYS add up to 180 degrees.
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So, " m∡1 + m∡2 + m∡3 = 180 " .
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Let us substitute our given values for the measurements in EACH of
the THREE (3) angles — on the left-hand side of the equation; then solve for "x" ; then substitute that solved value for "x" into the given expressions for BOTH "m∡1" AND "m∡2" ; to find the values for " m∡1" AND " m∡2 " ; which are the values asked for in this very question ;
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 m∡1 + m∡2 + m∡3 = 180 ;
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8x + (2x + 3) + 30 = 180 ;
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8x + 2x + 3 + 30 = 180 ;
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Combine the "like terms" on the 'left-hand side" of the equation; to simplify:
____________________________________________________________
+8x + 2x = +10x ;
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+3 + 30 = +33 ;
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Rewrite the entire equation, as:
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10x + 33 = 180 ;
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Now, subtract "33" from EACH SIDE of the equation:
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10x + 33 − 33 = 180 − 33 ;
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to get:
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10x = 147 ;
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Now, divide EACH side of the equation by "10" ; to isolate "x" on ONE SIDE of the equation; and to solve for "x" :
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10x / 10 = 147 / 10 ;
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to get:
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x = 14.7 ;
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Now, given the following, we plug in our solved value, "14.7", for "x", into the expression given for "m∡1" and "m∡2"; as follows:
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Angle 1: "(8x)" = 8*(14.7) = 117.6° ;
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Angle 2: "2x + 3" = 2*(14.7) + 3 = 29.4 + 3 = 32.4° ;
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These are the two answers; that is the 2 (TWO) values asked for in the question: 117.6° ; 32.4° .
____________________________________
Do they make sense? That is, do the measurements of ALL 3 (THREE) angles; that is, our two solved measurements added together, and then added to the value of the third angle (given: "m∡3 = 30°); all add up to 180° ?
___________________________________________
Let us check:
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m∡1 + m∡2 + m∡3 = 180 ;
_______________________________
Plugging in our solved values for "m∡1" and "m∡2" ; and our given value: "30" — for "m∡3 — does the equation hold true?
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→ 117.6 + 32.4 + 30 = ? 180 ??
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→ 117.6 + 32.4 = 150 ; → 150 + 30 =? 180 ? Yes!
______________________________________________

4 0

4 years ago

Which type of triangle has side measures of 5 cm, 9 cm, and 12. 7 cm and one angle measure of 128°?.

Verdich [7]

we have different side lengths and thus different angles anyhow, meaning is an Scalene triangle.

6 0

3 years ago

Write the slope-intercept form of the equation of each line

Westkost [7]

Answer:

y = x - 1

Step-by-step explanation:

if it goes up to the right its positive x and just take away 1 because on the Y-axis it goes down 1

7 0

3 years ago

Henri had a plum tree. The first week it was 15 feet. 2 weeks after that is was 22 feet and 2 more weeks later is was 36 feet. w

Alex

Answer:

The equation of tree's growth is given as : C(n) = 15 + 7 n ,

n = pair of weeks, n = 2, 4, 6 , 8 , ....

Step-by-step explanation:

Here, the initial height of the plum tree = 15 ft

⇒h (0) = 15 ft

Now, after two weeks the tree is 22 ft

⇒h (2) = 22 ft

Now,the growth of tree in 2 weeks

= Height after 2 weeks - Initial height of tree

= 22 ft - 15 ft = 7 ft

So, the plum tree grows 7 ft in 2 weeks

⇒ The plum tree grown (7/2) ft in 1 week.

Also, the growth of tree in next 2 weeks = 36 ft

So, the growth of tree in next 2 weeks

= Height after 4 weeks - Height after 2 weeks

= 36 ft - 22 ft = 14 ft

So, the tree grows 14 ft in next two weeks.

⇒ The tree grows 7 ft in next 2 weeks.

hence, the complete growth of each week is given as:

15 ft , 18.5 ft , 22 ft , 29 ft , 36 ft

So, the equation of tree' growth is given as : C(n) = 15 + 7 n

Here, n = Pair of weeks, n = 2, 4, 6 , 8 , ....

8 0

3 years ago

The system shown has _____ solution(s).