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dem82 [27]
3 years ago
5

One number to three times another number is 24. Five times the first number added to three times the other number is 36. Find th

e numbers.
Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Let x equal the one number.

Let y equal the other number.

x + 3y = 24

5x +3y = 36

Subtract the first equation from the second equation.

4x = 12

x = 3

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Sam decided to lose weight and went on a diet. The figure below depicts a graph, showing how his weight changed during the year.
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Answer:

100kg

Step-by-step explanation:

On the graph 100kg is where the line starts so that his weight when he started. Hope this made sense!

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3 years ago
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A variable needs to be eliminated to solve
lesya692 [45]

Answer:

(7, - 7 )

Step-by-step explanation:

- 4x + y = - 35 → (1)

- 2x - y = - 7 → (2)

adding the 2 equations term by term will eliminate the y- term

(- 4x - 2x) + (y - y) = - 35 - 7

- 6x + 0 = - 42

- 6x = - 42 ( divide both sides by - 6 )

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substituting into (1)

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solution is (7, - 7 )

6 0
2 years ago
I rent a gym for $150 for 30 students another time I rent the gym for $270 for 70 students I need to find a fixed rate
kirza4 [7]

Answer:

Fixed rate is $60.

Step-by-step explanation:

Let us consider per student charge be 'x'.

Let us consider fixed rate be 'b'

Given:

I rent a gym for $150 for 30 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

30x+b=150 \ \ \ \ equation \ 1

Also Given:

another time I rent the gym for $270 for 70 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

70x+b=270 \ \ \ \ equation \ 2

Now we will subtract equation 1 from equation 2 we get;

70x+b-(30x+b)=270-150\\\\70x+b-30x-b=120\\\\40x=120

Dividing both side by 40 we get;

\frac{40x}{40}=\frac{120}{40}\\\\x=\$3

Now we will substitute the value of x in equation 1 we get;

30x+b=150\\\\30\times3+b=150\\\\90+b=150\\\\b=150-90 =\$60

So we can say that the equation can be written as;

y =3x+60

Hence we can say that fixed rate is $60 and per student charge is $3.

3 0
3 years ago
Read 2 more answers
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Lelechka [254]

Answer:

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7 0
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Which of the following is an example of a conditional probability?
Aneli [31]

Answer:

The probability a person will ace a test given that the person got a

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A conditional probability is a probability that something will occur given that something else has happened.

C The probability a person will ace a test given that the person got a

good night's sleep the previous night.

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3 years ago
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