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4 years ago

The sum of two numbers is 24. One is 6 less than twice the other. Find the two numbers.

Mathematics

1 answer:

Fynjy0 [20]4 years ago

6 0

Answer:

$\huge\boxed{\sf x = 14 , y = 10}$

Step-by-step explanation:

Let the two numbers be x and y

Condition # 1:

Condition # 2:

$\rule[225]{225}{2}$

Putting Equation # 2 in Equation # 1

2y - 6 + y = 24

3y - 6 = 24

Adding 6 to both sides

3y = 24 + 6

3y = 30

Dividing both sides by 3

y = 10

$\rule[225]{225}{2}$

Putting y = 10 in Equation # 2

x = 2y - 6

x = 2(10) - 6

x = 20 - 6

x = 14

$\rule[225]{225}{2}$

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Work out the following, giving your answers in their simplest form: 4 2/5 ÷ 1 1/5

Black_prince [1.1K]

Answer:

First make mixed

4 x 5 = 20

20 + 2 = 22

22/5 = 4 2/5

1 x 5 = 5

5 + 1 = 6

6/5= 1 1/5

Multiply the reciprocal. The reciprocal is the fraction flipped over like 1/2 becomes 2/1

22/5 / 6/5 = 22/5 x 5/6

Multiply

22 x 5 = 110

5 x 6 = 30

110/30

Simplify

110/10=11

30/10=3

Answer is

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Step-by-step explanation:

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3 years ago

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Which equation is represented by the table?

MatroZZZ [7]

Answer:

$y=-|x-3|-3$

Step-by-step explanation:

The table shows values of $y$ for different values of $x$ .

Let us test each equation with the values given in the table.

Equation 1: $y=|x+3|-3$

For $x$ = 1, we get,

$y=|x+3|-3=|1+3|-3=|4|-3=4-3=1$

So, we got 1 for $y$ . But as per table, value of $y$ should be -5.

So, equation 1 is incorrect.

Equation 2: $y=-|x-3|-3$

For $x$ = 1, we get,

$y=-|x-3|-3=-|1-3|-3=-|-2|-3=-(2)-3=-5$

So, we got -5 for $y$ . It matches with the value of table.

Let us check for another value of $x$ in order to confirm.

For $x =2$ , we get,

$y=-|x-3|-3=-|2-3|-3=-|-1|-3=-(1)-3=-4$

So, we got -4 for $y$ . It matches with the value of table.

So, equation 2 is the correct answer.

We can be completely sure by checking the remaining equations too.

Equation 3: $y=|x-3|-3$

For $x$ = 1, we get,

$y=|x-3|-3=|1-3|-3=|-2|-3=2-3=-1$

So, we got -1 for $y$ . But as per table, value of $y$ should be -5.

So, equation 3 is incorrect.

Equation 4: $y=-|x+3|-3$

For $x$ = 1, we get,

$y=-|x+3|-3=-|1+3|-3=-|4|-3=-4-3=-7$

So, we got -7 for $y$ . But as per table, value of $y$ should be -5.

So, equation 4 is incorrect.

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3 years ago

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If you were to line them all up:

number of desks* how long it measures = total measurement

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3 years ago

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Nina [5.8K]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

2a + 4b + c =5 x =-2 a - 4b = -6 y=1

cricket20 [7]

There is no solution ,a+c=-10;b-c=15;a-2b+c=-5 No solution System of Linear Equations entered : [1] 2a+c=-10 [2] b-c=15 [3] a-2b+c=-5 Equations Simplified or Rearranged : [1] 2a + c = -10 [2] - c + b = 15 [3] a + c - 2b = -5 Solve by Substitution :

// Solve equation [3] for the variable c

[3] c = -a + 2b - 5

// Plug this in for variable c in equation [1]

[1] 2a + (-a +2?-5) = -10 [1] a = -5

// Plug this in for variable c in equation [2]

[2] - (-? +2b-5) + b = 15 [2] - b = 10

// Solve equation [2] for the variable ?

[2] ? = b + 10

// Plug this in for variable ? in equation [1]

[1] (? +10) = -5 [1] 0 = -15 => NO solution No solution

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3 years ago