Claude uses the greatest common factor and the distributive property to rewrite this sum:



45 + 90



Drag one number to each box to show Claude's expression.



The nubers are 1,2,5,9,10,18,45 and 90

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

Answer:

a. (5x-2)-(2x+1)

b. 3x-3

c.39

Step-by-step explanation:

Answer:

Correct answer is 8x-32

Step-by-step explanation:

prove me wrong

Answer:

C. 8x32

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

4902x0.001 = 4.902

4902/10 = 490.2

490.2^3 does not equal  4.902

Answer:

x= -16

hope it helps...

Answer:

x=-16

Step-by-step explanation:

19-35=-16=x

Answer:

u tick the option A then y u r asking??

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:

Step-by-step explanation:

B) 138

Answer: C: 4

Step-by-step explanation:

The domain of the function f(x) is: -6 < x ≤ 4, and the value that is in the domain of the function f(x) is 4

The function is given as:

f(x) = 2x + 5,   -6 < x ≤ 0

f(x) = 2x + 3,   0 < x ≤ 4

The above means that the domain of the function f(x) is:

-6 < x ≤ 0 and 0 < x ≤ 4

When combined, we have:

-6 < x ≤ 4

This means that x is greater than -6 but does not exceed 4

Hence, the value that is in the domain of the function f(x) is 4

Read more about function domain at:

https://brainly.com/question/1770447

#SPJ2

Answer:

Step-by-step explanation:

Answer:

there is no question

Step-by-step explanation:

Answer:$74.25 for A

)624.25 for B

Step-by-step explanation:

Answer:

50 cents/3 ounces = 16.67 cents/ounce

Step-by-step explanation:

maybe

Answer:

[tex]y^1^2[/tex]

Step-by-step explanation:

apply the rule (a) = a [tex](y^4)=y^4[/tex]

[tex]y^8y^4[/tex]

apply the exponent rule

[tex]y^8y^4 = y^8^+^4[/tex]

[tex]=y^8^+^4[/tex]

add the numbers

[tex]8+4=12[/tex]

which would make the answer

[tex]y^1^2[/tex]

Answer:

78

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

Answer:360 m/s

Step-by-step explanation:

The best prediction of the speed of sound when the air temperature is 45°C is 360 m/s option third is correct also the graph shows a positive correlation.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

As we can see in the graph:

When the air temperature is 10°C the speed of sound is around 337m/s

When the air temperature is 20°C the speed of sound is around 344m/s

When the air temperature is 30°C the speed of sound is around 348m/s

When the air temperature is 40°C the speed of sound is around 355m/s

From the above observation, the air temperature increases the speed of the sound increases.

So when the air temperature reaches 45°C the speed of the sound will be 360 m/s.

Thus, the best prediction of the speed of sound when the air temperature is 45°C is 360 m/s.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ2

Answer:

36 cm

Step-by-step explanation:

p = all sides added up

so we do 6+6+3+3+9+9 = 36 cm

Answer:

You can make 8 vests and each one will have 2 green buttons and 3 blue buttons (16/8=2 and 24/8=3)

Step-by-step explanation:

the GCF of 16 and 24 is (2*2*2*2 and 2*2*2*3) 2*2*2=8

Answer:

11.7

Step-by-step explanation:

multiply RS by the scale factor to get R'S'

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.