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Tamiku [17]
3 years ago
13

Jen is four years older than bill. The sum of their ages is 54. How old are they?

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer:

Bill is 25 years old and Jenny is 29 years old

Step-by-step explanation:

Systems of Equations:

J = 4 + B

J + B = 54

Substitute J into the first equation.

4 + B + B = 54

Add like terms.

4 + 2B = 54

Isolate the variable.

4 + 2B = 54

-4            -4

2B = 50

2B/2 = 50/2

B = 25 years old

Plug in B into the second equation of the system.

J + B = 54

J + 25 = 54

Isolate the variable.

J + 25 = 54

   -25   -25  

J = 29 years old

Check your answer. Pick whatever equation in the system and plug in your answers.

J = 4 + B

29 = 4 + 25

29 = 29

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Answer:

b₁ = (2a – b₂h)/h; b₁ = (2a)/h – b₂; h = (2a)/(b₁ + b₂)

Step-by-step explanation:

A. <em>Solve for b₁ </em>

          a = ½(b₁ + b₂)h        Multiply each side by 2

        2a = (b₁ + b₂)h           Remove parentheses

        2a = b₁h + b₂h           Subtract b₂h from each side

2a - b₂h = b₁h                    Divide each side by h

         b₁ = (2a – b₂h)/h     Remove parentheses

         b₁ = (2a)/h – b₂

B. <em>Solve for h </em>

2a = (b₁ + b₂)h     Divide each side by (b₁ + b₂)

 h = (2a)/(b₁ + b₂)

5 0
3 years ago
Read 2 more answers
Follow the order of operations and evaluate these expressions. 1) 7+3(9-4)^2÷5, 12/3-4+7^2, (7-3)×3^3÷9, 5(7-3)^2÷(6-4)^3-9, 3×(
vovikov84 [41]

The solution to the first expression - 7+3(9-4)^2÷5 is given as 22.

To get the answer correctly, one must follow rudimentary rules of operations which are coined into the acronym BODMAS.

<h3>What is BODMAS?</h3>

This is the order in which mathematical operations must be executed.
B = Bracket

O = Orders (that is Powers, Indices or roots)

D= Division

M = Multiplication

A = Addition

S = Subtraction

Now lets see how we got 22 from the first set of operations:

<h3>Operation 1 (Example)</h3>

7+3(9-4)^2÷5 =

7+3 (5)^2÷5=

7+3 * 25÷5 =

7+3*5=

7+15=

22

Following the BODMAS rule and the example in Operation 1 above, we can state the remaining answers as follows:

<h3>

Operation 2</h3>

12/3-4+7^2 = 49

<h3 /><h3>Operation 3</h3>

(7-3)×3^3÷9 = 12

<h3>Operation 4</h3>

5(7-3)^2÷(6-4)^3-9 = 1

<h3>Operation 5</h3>

3×(7-5)^3÷(8÷4)^2-5 = 1

<h3>Operation 6</h3>

9+(3×10)/5×2-12​ = 9

See the link below for more about Mathematical Operations:

brainly.com/question/14133018

6 0
2 years ago
What is04.53 divided by0.0003
lubasha [3.4K]
It is 15100. First 0 is no important.
8 0
3 years ago
Help me with this please / / / / / / / /
lilavasa [31]

Answer:

10) min = 5

max = 225

IRQ = 60

That's all I got

sorry

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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