A+b = 30 a:b is equivalent to 2:3. What is a& b

Answers

Answer 1
Answer: one way is to use brute force (find bigger equivilent ratios and add them)
2:3

to make them bigger, we multiply both by the same number
2:3
2+3=5 nope

2:3 times 2 to both=4:6
add
4+6=10
we can just add the numbers before multiplying and then multiply after

2+3=5
5 times what=30
divide both sides by 5
6=what
we need to multiply each by 6
2:3 times 6 to both =12:18
12+18=30

a=12
b=18
Answer 2
Answer:

Final answer:

The given equations are simultaneous equations. We need to find the values of 'a' and 'b'. To do so, we convert the ratio into equation and substitute into the original equation. Then solving will give 'a = 12' and 'b = 18'.

Explanation:

In this question, we are given two simultaneous equations to solve for the unknowns 'a' and 'b'. The given equations are 'a + b = 30' and the ratio 'a:b' is equivalent to '2:3'.

Since the ratio 'a:b' is equal to '2:3', we can consider 'a' to be '2x' and 'b' to be '3x'. Substituting this into the first equation, we get '2x + 3x = 30', which simplifies to '5x = 30'. Solving for 'x', we find that 'x = 6'.

Substituting 'x = 6' into the expressions for 'a' and 'b', we find that 'a = 2*6 = 12' and 'b = 3*6 = 18'. Therefore, the solutions to the equations are 'a = 12' and 'b = 18'.

Learn more about Simultaneous Equations here:

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Can you please help me with number 2

Answers

If that little dot after the '1' is a comma, then you're correct. Melting doesn't change the mass.
Good job you are correct you figured it out

How many centimeters is in 2 inches

Answers

2 inches is equal to 5.08 centimeters

Hope this helps you. :-)

5.08 cenimeters 

[hope this helps]




In scoole i need to know whats 14.6 divided by 2

Answers

The answer is 7.3. Hope that helps.

14.6 divided by 6 is 7.3
Hope this helps

Consider the expressions $\frac{4x^3+2x^2+6x+7}{2x+1}$ and $2x^2+3+\frac4{2x+1}.$a) Show that these expressions are equal when $x=10.$

b) Explain why these expressions are not equal when $x=-\dfrac12.$

c) Show that these expressions are equal for all $x$ other than $-\dfrac12.$

In parts (a) and (c), begin by explaining what your strategy for solving will be.

Answers

Part (a)  We shall simplify both of them in order to find the solution to the equation.

  • Once we've done that, we'll see that they have the same equation, so we can match the equation if x=10.

Part (b)  When x=-1/2, the answers to the second expression, 2x2, change to -1, and we eventually arrive in 1.

  • This is why the expressions are not equal at this point.

Part (c)  As we can see, the expressions are identical, thus we can demonstrate that they are equal if x is any number other than -1/2.

What is an expression in maths?

  • An expression is a set of terms combined using the operations +, – , x or , for example 4 x − 3 or x 2 – x y + 17 .
  • An equation states that two expressions are equal in value, for example 4 b − 2 = 6 .
  • An identity is a statement that is true no matter what values are chosen, for example 4 a × a 2 = 4 a 3 .

What is a math expression example?

  • An expression is a set of numbers or variables combined using the operations +, –, × or ÷.
  • Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.

How do you find expressions?

  • To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
  • To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Learn more about expressions here:

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Answer:

Part a)  In order to solve the equation, we will simplify both of them.  Once we do that, if we notice, they are the same equation, so therefore, if x=10, then we will be able to match the equation.

Part b) The reason the expressions are not equal when x=-1/2 is because if we see, that in the second expression, 2x^2, if x=-1/2, then the answer becomes -1, and we eventually end up with 1.

Part c)  As we can see, the expressions are the same, so if x is any number other than -1/2, then we will be able to show that the expressions are equal.

Step-by-step explanation:

You can simplify the explanation, also if you play ROBLOX, follow me at my username: BAMUNJI, or 24KBlingYT

By the way, this question is from the Art of Problem Solving, and you should not just copy answers or copy of them.

The gym offers a discount when more than one member of the family joins. The first member (n=0) pays $550 per year. The second member to join (n=1) gets a discount of $75 per year. The third member (n=2) gets an additional $75 discount. The price for the nth member is given by 550+(-75n).a. What is the price for the fourth member to join (n=3)?

b. For a large family, is it possible that member would join for free? If so, which member would it be? Explain your reasoning.

c. Other than $0, what is the lowest amount that a member would pay to join? Which member would it be? Explain your reasoning.

Answers

a. If we subtract 75 from 550 twice, we get 400, which is the third member to join. Subtract 75 from 400, we get $325, the fourth member to join.

b. It is not possible that a member would join for free if it was a large family. 75 does not fit into 550 evenly. You can prove this by solving the expression 550÷75.

c. The lowest amount that a member would pay to join is $25.00. It would be the 7th member.

A worm travels 1,250 millimeters.How many meters did the worm travel

Answers


The answer is 1.25 meters.

hope it helps

can you choose mine as the brainliest answer