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olya-2409 [2.1K]
3 years ago
11

The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 4 : 3. Terrence owns 36 models

cars. How many model cars does Jim own? Enter the number in the box.
Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer: 48 model cars.


Step-by-step explanation:

1. You know that the ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 4:3.

2. Let's call the number of model cars that Jim owns is x, therefore, you can solve the exercise as following:

\frac{4}{3}=\frac{x}{36}\\x=\frac{36*4}{3}\\x=\frac{144}{3}\\x=48

3. Therefore, Jims owns 48 model cars.


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4 years ago
Find ten solutions to the linear equation to the linear equation 1/2x+y=5
yuradex [85]

Answer:

(0,5), (2,4), (4,3), (6,2), (8,1), (10,0), (12,-1), (14,-2), (16,-3), (18,-4), and (20,-5)

Step-by-step explanation:

The given linear equation is :

\frac{1}{2} x + y = 5

Or

y =  -  \frac{1}{2} x + 5

Any ordered pair that satisfies this equation is a solution.

When x=0,

y =  -  \frac{1}{2}  \times 0 + 5 = 5

(0,5) is a solution

When x=2,

y =  -  \frac{1}{2}  \times 2+ 5 = 4

(2,4) is a solution.

When x=4,

y =  -  \frac{1}{2}  \times 4+ 5 = 3

(4,3) is a solution;

When x=6:

y =  -  \frac{1}{2} \times 6+ 5 = 2

(6,2).

When x=8,

y =  -  \frac{1}{2}  \times 8 + 5 = 1

Another solution is (8,1)

When x=10,

y =  -  \frac{1}{2}  \times 10 + 5 = 0

(5,0) is a solution

When x=12,

y =  -  \frac{1}{2}  \times 12+ 5 =  - 1

(12,-1) is a solution.

When x=14,

y =  -  \frac{1}{2}  \times 14+ 5 =  - 2

When x=16, we get:

y =  -  \frac{1}{2}  \times 16 + 5 =  - 3

When x=18, we get:

y =  -  \frac{1}{2}  \times 18+ 5 =  - 4

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Answer:  A. (x - 4, y - 2)

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<u>Step-by-step explanation:</u>

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5 0
3 years ago
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