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3 years ago

Write an algebraic expression that represents 9 less than 19 times a number

1 answer:

8 0

The expression would be 19x-9. The reason is because if you think about it, it says that there is 9 less than 19x (x would be the unknown number) I hope this helps! ^-^

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Mark and Robyn used base- ten blocks to show that 200 is 100 times as much as 2. Whose model makes sense? Whose model is nonsens

Dima020 [189]

Answer:

Robyn model makes more sense and Marks is nonsense.

Step-by-step explanation:

In this question ,calculations not required .All we have to do is consider each model logically .

Marks

Marks model shows 20 rather than 2 which means 200 is 10 times as much as 20. It does not make any sense.

Robyn

Robyn model shows 2 which means 200 is 100 times as much as 2 and this is not only correct but also makes sense because 100 *2=200

8 0

3 years ago

Caden states that n^2 +3n + 2n is an equivalent expression to 6n. Why is Caden's statement incorrect?

malfutka [58]

$\begin{gathered} \text{The simplification of n}^2+3n+2n\text{ is:} \\ i)n^2+5n \\ By\text{ collecting common term, this can be written in form of:} \\ ii)\text{ n(n+5)} \end{gathered}$

Thus, options A and D hold, from the simplifications above.

Let's consider the validity of the remaining options provided.

$\begin{gathered} \text{For option B)} \\ \text{substitute for n=1 into the expression n}^2+3n+2n,\text{ we have} \\ 1^2+3(1)+2(1)=1+3+2=6 \\ \text{substitute for n=1 into the expression 6n, we have} \\ 6(1)=6 \\ \text{Thus, the expression n}^2+3n+2n\text{ is equivalent to 6n, for n=1} \end{gathered}$ $\begin{gathered} \text{For option C)} \\ \text{The expression n}^2+3n+2n\text{ does not simplify to 7n} \end{gathered}$ $\begin{gathered} \text{For option E)} \\ \text{substitute for n=4 into the expression n}^2+3n+2n,\text{ we have:} \\ 4^2+3(4)+2(4)=16+12+8=36 \\ \text{substitute for n=6 into the expression 6n, we have:} \\ 6(4)=24 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=4} \end{gathered}$ $\begin{gathered} \text{For option F)} \\ \text{substitute for n=3 into the expression n}^2+3n+2n,\text{ we have:} \\ 3^2+3(3)+2(3)=9+9+6=24 \\ \text{substitute for n=3 into the expression 6n, we have:} \\ 6(3)=18 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=3} \end{gathered}$

Hence, the correct options that apply are options A, D, E and F

7 0

7 months ago

Using the change-of-base formula, which of the following is equivalent to the

Otrada [13]

Given:

The logarithmic expression is:

$\log_718$

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

$\log_ba=\dfrac{\log_ca}{\log_cb}$

The given expression is:

$\log_718$

Using the change-of-base formula, we get

$\log_718=\dfrac{\log_c18}{\log_c7}$

Where, is a constant and c>0.

Let $c=10$ , then

$\log_718=\dfrac{\log_{10}18}{\log_{10}7}$

Therefore, the correct option is a.

3 0

2 years ago

How much ice is equivalent to 8 ounces of water

aev [14]

Answer:

0.218

Step-by-step explanation:

6 0

3 years ago

5x/3- 7x/12= 13/6 what is the answer to this equatuon

Basile [38]

Answer: x=2

Step-by-step explanation:

Equation: 5x/3-7x/12=13/16

First Simplify Both Sides of the Equation:

5x/3-7x/12=13/6

5/3x+-7/12x+13/6 ( Combine Like Terms)

13/12x=13/6

Next Step Is To Multiply Both Sides with 12/13

(12/13) * (13/12x)=(12/13)*(13/6)

x=2

3 0

2 years ago