The sum of Bernice’s age and her
mother’s age is 63. Bernice is 21. What is her mother’s age?

Answer: [tex]Y = \frac{2}{3} x - 5[/tex]

Step-by-step explanation:

Answer: y=7.5+-5

Step-by-step explanation:

Divide 3y from itself and -15 to cancel out the Y variable. So Y is equal to -5. Then you would be left with -2x=-15. So then you would have to divide -2x from itself and -15, which would give you 7.5, and that is your x variable.

Answer:

Step-by-step explanation:

B) 138

Answer:

umm what do you mean can like you explain

Answer:

Question 15: The length of the 3rd side is a-2 units. (I will answer Question 16 as a comment, by the way)

Step-by-step explanation:

Question 15:

Perimeter is the sum of all the side lengths of a shape, in this case, the shape is a triangle. Two side lengths and the perimeter is given, and you have to find the length of the 3rd side.

First, you'll need to add both of the given side lengths together. You do that by making an equation, where you can say that a question mark represents the unknown side.

2(a+3) + (3a-1)+ ? =6a+3

Then, you will need to use the distributive property for the first side. You have to distribute the 2 to the expression inside the parentheses. You need to multiply 2 by a, and by the 3. So, the expression becomes 2a+6.

Next, we'll work on the second side. We have to open up those parentheses that hold 3a-1 inside them. You can do that by distributing the plus sign in front of the parentheses to the expression inside the parentheses. You are just trying to either change or keep the sign in front of the expressions inside the parentheses.

We distribute the + to the 3a by multiplying, and it stays as 3a because the 3a is already a positive expression. If there is no minus sign in front of the 3a, that means that it is positive, and a positive sign multiplied by a positive number gives you a positive product. Now, we need to distribute the plus sign to the second term in the parentheses. Attention, the second term is a -1, not a positive 1. We can get that by changing 3a-1 to 3a+ -1. It is the same thing, it just looks a bit different. In words, the expression would be 3a plus a negative 1, instead of 3a minus 1. After that, we finally multiply the + by -1, which would be -1. That is because a positive sign multiplied by a negative sign will give you a negative product. Finally, after distributing the plus sign to the terms inside the parentheses, the expression becomes 3a-1. It stayed the same as it was, but it is still important to understand why it was not +1.

Now, it's time to re-write the whole expression.

2a+6+3a-1+?=6a+3

The next step is to combine the like terms on the left side of the equal sign. The terms that include the variable "a" come together, and the numbers (or constants) are combined. We combine by adding or subracting the terms. 2a+3a=5a. 6-1=5. This is why it was so important to open up those parentheses in the beginning and distribute, to not get the signs confused. If you skip that step, your answer could be incorrect. We leave the ? alone because there are no other terms that have a ? in them.

The new equation now looks like this: 5a+5+?=6a+3

Then, you need to simplify this equation by moving all of the terms that have an "a" in them to the same side of the equal sign, and the same thing to the constants (the numbers). We need to separate the terms from the question mark because that's what we're solving for. As we move the terms from the left side to the right, their sign changes to the opposite. So, 5a becomes -5a, and +5 becomes -5.

The new equation looks like this: ?=6a+3-5a-5

The next step is to again, combine the like terms, but on the right side of the equal sign. We leave the ? alone for now. 6a-5a=a. +3-5= -2.

The last step would be to just re-write the equation.

?=a-2          That is your answer. The length of the 3rd side is a-2 units.

Key take-aways of this problem:

- Perimeter is the sum of all of the lengths of all of the sides of a shape.

- It's important to look at the sign in front of the parentheses to know how to distribute it to the expresssion inside.

- To simplify an expression, you need to combine the like terms that are in it. The same variables go together, and the numbers do, too.

- When moving terms in an equation to the other side of the equal sign, the term's sign changes to the opposite.

Answer:

Yes it can.

Step-by-step explanation:

You can say Enrico can run 6 2/3 meters every second(6 2/3 to 1), and for the second one you can say the television station can show 1/4 of a commercial every one minute(1/4 to 1).

Answer:

there is no question

Step-by-step explanation:

Answer:

20 songs

Step-by-step explanation:

she starts with 20 songs at beginning of year

Answer:

13.$1 per 2 pounds (1/2)

14.$3 per 10 ounces (3/10)

15.$3 per 5 pens (3/5)

16.$12 per 1 book (1/2)

17.$7 per 1 shirt (7/1)

18.$7 per 5 tapes (1/2)

Step-by-step explanation:

Please give me brainliest I really want to rank up.

Answer:

1.A mortal wound is one that causes death

2.A benefactor is someone who helps with gifts of money

Step-by-step explanation:

Could i have branliest sense i didnt copy? plz and thanks

Answer:

Yes

Step-by-step explanation:

With each hour you rent the paddleboard the price goes up.

Time= independent variable

Cost= Dependent variable

Answer:

1. 6/15, or 2/5.

2. Apples cost more per pound.

Step-by-step explanation:

1. Brian reads 2/15 in 20 minutes, like we were told. It's easy to determine how much of his book he can read within an hour, by using the ratio 1/15:10. There's clearly 1/15 in 10 minutes, 2/15 in 20, 3/15 in 30, and so on. This would result in him reading 6/15's of his book in an hour.

2.

Peaches

0.6÷8/5 converts to .6 × 5/8. The result is .375.

Apples

1.75 ÷7/2 converts to 1.75×2/7. The result of this equation is .5, so therefore, the apples cost more per pound.

Answer:

$460.20

Step-by-step explanation:

499*15% = 74.85 (total discount price)

499-74.85 = 424.15 (deduct discount from original price)

424.15*8.5% = 36.05275 (total tax from price)

424.15+36.05275 = 460.20275 (add tax to discounted price)

The amount for Sean owe in tax will be $3,150.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Sean earned $31,000 last year.

In the first $25,000 is taxed at 9% and income above is taxed at 15%.

Now,

Since, In the first $25,000 is taxed at 9%.

Hence, The amount of tax = 9% of $25,000

                                         = 9/100 × $25,000

                                         = $2,250

And, Income above is taxed at 15%.

Hence, The above income = $31,000 - $25,000

                                          = $6,000

So, The tax for above income = 15% of $6,000

                                              = 15/100 × 6,000

                                              = $900

Thus, The total tax = $2,250 + $900

                             = $3,150

Learn more about the percent visit;

https://brainly.com/question/24877689

#SPJ2

Answer:

Step-by-step explanation:Did that help?

Answer:

Calculate Principal, Interest Rate, Time or Interest. ... You received $72 in interest after 3 years. ... where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. In this example I = $72, i = 4% and t = 3 years, so ...

Step-by-step explanation:

Answer:

X=8

Step-by-step explanation:

Answer:H

Step-by-step explanation:

Because 0.25 x 9 will give you 2.25. Then add that to the original number; $3.50 + $2.25 = $5.75. Hope this helps :)  

Answer:

r

Step-by-step explanation:

Answer:

Sorry but I don't have an explanation I guessed and got it right the answer is C)The class median is lower than the exam median. I hope this helps. :)