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MrRissso [65]
3 years ago
10

What is the answer? -9=3+6x

Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0
Use inverse operations and subtract 3 from 9 which is -12 then divide -12 by 6 which is -2
-9=3+6x
-3 -3
-12=6x
-12/6=6x/6
-2=x
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The price of calculator is increased from R150 to R174.What is the percentage increased​
kvasek [131]

Answer:

16%

Step-by-step explanation:

(174-150)/150= 0.16

0.16*100 = 16%

8 0
2 years ago
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vladimir1956 [14]

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Step-by-step explanation:

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4 0
2 years ago
F(n)=4n-3 find the 15th term of the sequence defined by the explicit rule
Naddika [18.5K]

Answer:

Step-by-step explanation:

hello,

we need to evaluate f(15) so

f(15)=4*15-3=60-3=57

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7 0
2 years ago
Help anyone can help me do 16 and 17 question,I will mark brainlest.The no 16 question is find the area of the shaded region​
yanalaym [24]

Answer:

Question 16 = 22

Question 17 = 20 cm²

Step-by-step explanation:

<u>Concepts:</u>

Area of Square = s²

  • s = side

Area of Triangle = bh/2

  • b = base
  • h = height

Diagonals of the square are congruent and bisect each other, which forms a right angle with 90°

Segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

<u>Solve:</u>

Question # 16

<em>Step One: Find the total area of two squares</em>

Large square: 5 × 5 = 25

Small square: 2 × 2 = 4

25 + 4 = 29

<em>Step Two: Find the area of the blank triangle</em>

b = 5 + 2 = 7

h = 2

A = bh / 2

A = (7) (2) / 2

A = 14 / 2

A = 7

<em>Step Three: Subtract the area of the blank triangle from the total area</em>

Total area = 29

Area of Square = 7

29 - 7 = 22

-----------------------------------------------------------

Question # 17

<em>Step One: Find the length of PT</em>

Given:

  • PR = 4 cm
  • RT = 6 cm

PT = PR + RT [Segment addition postulate]

PT = (4) + (6)

PT = 10 cm

<em>Step Two: Find the length of S to PT perpendicularly</em>

According to the diagonal are perpendicular to each other and congruent. Therefore, the length of S to PT perpendicularly is half of the diagonal

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Three: Find the area of ΔPST</em>

b = PT = 10 cm

h = S to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Four: Find the length of Q to PT perpendicularly</em>

Similar to step two, Q is the endpoint of one diagonal, and by definition, diagonals are perpendicular and congruent with each other. Therefore, the length of Q to PT perpendicularly is half of the diagonal.

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Five: Find the area of ΔPQT</em>

b = PT = 10 cm

h = Q to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Six: Combine area of two triangles to find the total area</em>

Area of ΔPST = 10 cm²

Area of ΔPQT = 10 cm²

10 + 10 = 20 cm²

Hope this helps!! :)

Please let me know if you have any questions

6 0
2 years ago
A gardener buys a rake and a pair of gloves for each of the 12 volunteers in the gardening club. Each pair of gloves
matrenka [14]

Let unit cost of one rake be : r

Given : Total number of volunteers = 12

Given : Each pair of gloves cost $8.00

⇒   Cost of 12 pair of gloves for 12 volunteers = (12 × 8) = $96

Given : The gardener spends a total of $300 on both rakes and gloves

⇒   Cost of 12 rakes + Cost of 12 pair of gloves = $300

⇒   12r + 96 = 300

⇒   12r = 204

⇒   r = 17

<u>Answer</u> : Cost of one rake is $17

4 0
3 years ago
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