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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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miguel joins a gym that has a 40$ membership fee and charges 22.50 per month.he also joins a martial art class that charges 16$
Kipish [7]

Answer:

A

Step-by-step explanation:

The gym membership is going to cost 40 initially plus 22.50 for each month after.

The total cost for the gym can be expressed as 40+22.50m

The martial arts class is going to cost 26 initially plus 16 for each month after.

The total cost for the martial arts class can be expressed as 26+16m

Now we have to combine these to get the total cost for both the gym and the martial arts class:

(40+22.50m) + (26+16m) = 66 + 38.50m  (option A)

5 0
3 years ago
Given y=-3/4x-2. What is the equation of the line that is perpendicular and has the point (-4,1)? Write answer in slope intercep
raketka [301]

Answer:

y=4/3+19/3

Step-by-step explanation:

When it asks for perpendicular it means your focusing on the slope.

Perpendicular means opposite of the current slope, so flip it and change the sign (-3/4 changes to 4/3). Next you will use the equation (y-y1)=m(x-x1)

y1=the y value given

x1=the x value given

m=your slope

(y-1)=4/3(x+4)     Since the x point is minus a negative we get to change the sign to a positive. Next distribute the 4/3 to each term in the parenthesis.

y-1=4/3(x)+4/3(4)

y-1=4/3x+16/3     Now we add the one to both sides.

 +1          +1          The one isn't in teh correct format to just add so first imagine it as 1/1. Now to get the bottom to have a 3 like in 16/3 we just multiply the top and bottom by 3.

\frac{1}{1} x\frac{3}{3}=\frac{3}{3}       Now we can add this to the 16/3

\frac{16}{3} +\frac{3}{3}=\frac{19}{3}  We can now put this back into our equation.

y=4/3+19/3

6 0
3 years ago
Find the area and perimeter of the rectangle Length = 5cm Breadth =2cm
avanturin [10]

Answer:

perimeter: 14

Area: 10

Step-by-step explanation:

PERIMETER

2x(L+B) = 2x(5+2) = 2x(7) = 14

AREA

LxB = 5x2 = 10

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5 0
3 years ago
What is the probability of obtaining three heads while flipping a coin
Elina [12.6K]

<span>
The probability of at least three heads can be found by<span><span>∑<span>k=3</span>4</span><span>(<span>4k</span>)</span><span>.5k</span><span>.5<span>4−k</span></span>=<span>516</span></span></span>
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3 years ago
in a set of 9 balls, 5 are blue. the balls are placed into a bag. mark is trying to get a ball that is not blue. he picks one ba
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So what you will have to do is 45 alla you have to do is multiple


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