While catching fireflies, you and a friend decide to have a competition. After m minutes, you have (3m+13) fireflies and your friend has (4m+6) fireflies.

Write an expression in simplest form that represents the number of fireflies you and your friend caught together.

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:

There are about 7 x 10^6

Step-by-step explanation:

3.5*2029249= 7102347

rounds to 7000000= 7 x 10^6

Answer:

7.102347 times [tex]10^{6}[/tex].

Step-by-step explanation:

Alright.  This is an inanely large amount of words, as a drill for scientific notation.  The first step is, since the mystery book has 2,029,242 words, to turn this into a single digit multiplied by a power of ten - 2.029242 times [tex]10^{6}[/tex] (apologies for the weird font change in the middle).  The science fiction book is 3.5 times larger - multiply 2.029242 on a calculator (unless you really like suffering for some reason; then do it by hand) - it comes out as 7.102347.  Thus, the answer is 7.102347 times [tex]10^{6}[/tex].

Answer:

35-5=n or n=35-5

Step-by-step explanation:

when you take the new students away, you get the number of students before. 35-5 equals the number of students before.

n=30

Answer: 237 1/2

Step-by-step explanation:

10 1/2*10 1/3= 108 1/2

9x14 1/3= 129

108 1/2+129= 237 1/2

Answer:

5. No,  Triangle J K L is a Reflection, not a translation

6. Its 11 to the right, and 2 up

Answer:

5. No, it is a translation across the Y-Axis

6. The translation is 11 units right, and 2 units up.

Step-by-step explanation:

Hope this helps, Have a great day!!

Answer:

B

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

just look up 25 out of 18 percentage

Answer:

0 = 4

Step-by-step explanation:

Add two to both sides of the equation:

Answer:

3

Step-by-step explanation:

A rectangular prism has a length of 8 inches and a width of 6 inches. The lateral area is 84 square inches. What is the height of the prism?

Find the perimeter of the base.

P = 2l + 2w Perimeter of a rectangle

P = 2(8) + 2(6) Substitute: l = 8 and w = 6

P = 28

Use the formula for lateral area.

L = Ph

84 = (28)h Substitute: L = 84 and P = 28

h = 3 Solve for h.

The height of the prism is 3 inches.

Answer:

Step-by-step explanation:

Mayebe. E

Answer:

$3.04

Step-by-step explanation:

one orange costs about 25 cents (because 15 x .25333 equals 3.80, and round up to .25) so .25 x 12 is about $3.04

Answer:

about 327.7 miles

Step-by-step explanation:

Proportions :

7.7 gallons / 245 miles = 10.3 gallons / x miles

x is about 327.7 miles

find the value of x. if x is 2 for example multiply that 6 times to find the numerator. 2 x 2 x 2 x 2 x 2 x2 = 64. multiply that with 3 which is 192. now to find the denominator you are going to multiply 2 three times. 2 x 2 x2 = 8. now divide the denominator with the numerator which equals 8.

Step-by-step explanation:

Distribute -1 across

-t-8=-7.1

-8+7.1=t

t=-0.9

Answer:

-0.9

Step-by-step explanation:

1

Distribute

-1(t+8) = -7.1

-t - 8= -7.1

2

Add  8  to both sides of the equation

3

Simplify

4

Divide both sides of the equation by the same term

5

Simplify

Answer:

Step-by-step explanation:

Answer:

i am kind of confused by the question but i would say to but all the numbers below 1 in the 10^-4 section and the numbers above 1 in the 10^6.

i might be wrong i don't what the question is really.

Step-by-step explanation:

Alan is converting large and small numbers from standard notation to scientific notation

10⁶  = 4.03 x 10⁶, 2.93 x  10⁶, 5 x  10⁶

10⁻⁴ = 1.2x 10⁻⁴, 6 x 10⁻⁴,  5.9 x 10⁻⁴

The standard form for a number is a method by which we write number in a format like b×10ˣ. The value of b should be in between 0 to 10.

Given that,

The numbers,

0.00012, 4030000, 2930000, 0.0006, 5000000, 0.00059

Taking number, 0.00012

To convert it into scientific notation,

It should be in from of  b×10ˣ,

So, now dividing and multiplying 10000 into the number 0.00012,

⇒  0.00012 x (10000/10000)

⇒  (0.00012 x 10000)/10000

⇒   1.2/10000

⇒   1.2x 10⁻⁴

Similarly,

0.0006 can be written as 6 x 10⁻⁴

And  0.00059 can be written as 5.9 x 10⁻⁴

Now taking number, 4030000

To convert it into scientific notation,

It should be in from of  b×10ˣ,

So, now dividing and multiplying 1000000 into the number 4030000,

⇒ 4030000 x (1000000/1000000)

⇒  (4030000 / 1000000) x 1000000

⇒   4.03  x 1000000

⇒   4.03 x 10⁶

Similarly,

2930000 can be written as 2.93 x  10⁶

And 5000000 can be written as 5 x  10⁶

To know more about scientific notation check:

https://brainly.com/question/4953486

#SPJ5

Answer:

210 student's

Step-by-step explanation:

80 students chose the aquarium.

60 students chose the science center.

30 students chose the planetarium.

40 students chose the farm.

The students can't vote for more than one place, so you just add all the numbers together.

80 + 60 + 30 + 40 = 210 students

Answer:

The answer would be 275 not 375. so ig C

Step-by-step explanation: