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krok68 [10]
2 years ago
9

Write a linear equation in one variable for each of the following situations:

Mathematics
1 answer:
hoa [83]2 years ago
6 0

Answer:

i. y = 4

ii. p = 45

iii. m = 5

Step-by-step explanation:

(a) In triangle PQR, PQ = QR. So that,

Perimeter = PQ + PR + QR

40 = (2y + 3) + (5y - 2) + (2y + 3)

    = 2y + 3 + 5y - 2 + 2y + 3

40 = 9y + 4

40 - 4 = 9y

36 = 9y

y = \frac{36}{9}

y = 4

(b) The age of Rahim's father is p years. Since he is 29 years older than Rahim, we have;

p = 16 + 29

p = 45

Rahim's father is 45 years old.

(c) Cost of a chair = RM 5.90

Cost of m chairs = RM 5.90 x m

                           = RM 5.90m

Amount paid = RM 50 - RM 20.50

                      = RM 29.50

Thus,

RM 5.90m = RM 29.50

5.90m = 29.50

m = \frac{29.50}{5.90}

   = 5

m = 5

The number of units of chairs bought is 5.

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Radda [10]

The diameter of the circle is 11.8 units

<h3>How to determine the diameter of the circle?</h3>

The circle equation is given as:

(x - 2)^2 + (y + 6)^2 = 35

A circle equation is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where

Diameter = 2r

By comparing both equations, we have

r^2 = 35

Take the square root of both sides

r = 5.9

Multiply by 2

2r = 11.8

Hence, the diameter of the circle is 11.8 units

Read more about circle equation at:

brainly.com/question/10618691

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3 0
2 years ago
Q6.<br> .<br> Make t the subject of the formula w = 3t + 11
Usimov [2.4K]

Answer:

t = w/3-11/3

Step-by-step explanation:

w = 3t + 11

3t = w-11

t = 1/3(w-11

t = w/3-11/3

3 0
2 years ago
What value of x is in the solution set of 8x – 6 &gt; 12 + 2x?<br><br> –1<br> 0<br> 3<br> 5
Tcecarenko [31]
Value of 3 is in the solution set
3 0
3 years ago
after a lady is seated in a restaurant, she realizes that she only has $48.00. if she must pay 7% sales tax and wishes to leave
Alexeev081 [22]

Answer:

$38.84

Step-by-step explanation:

1) 48.00 x 0.07 = 3.36 (she must pay this amount)

2) 48.00 x 0.1 = 4.8 (she must tip this much)

48.00 - 4.8 + 3.36 = 39.84

She has 39.84 dollars she can use to order food with.

7 0
3 years ago
Ashton is saving money for a new bike. He needs 120$ But only has saved 60% so far. How much more money does he need to buy the
kherson [118]

Answer:

$48

Step-by-step explanation:

Ashton is saving money for a new bike. He needs 120$ But only has saved 60% so far. How much more money does he need to buy the scooter

Ashton needs money for new bike=120$

savings of ashton is 60 % of his bike cost

hence 60% of 120 dollar will be

His saving=(60/100)*120=7200/100=72$

remaining cost will be obtained by subtracting saved money from total cost

total cost=120 dollar

saved money=72dollar

hence

Remaining more money he needed is =120-72=48$


7 0
3 years ago
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