10 points lol 6th grade math coordinate points

Eight chairs weigh 56 pounds. How much do 5 chairs weigh?

Leokris [45]

The answer is 35 pounds because,
56 / 8=7 so 5x 7 =35 pounds

7 0

3 years ago

Read 2 more answers

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

1 year ago

There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If

sammy [17]

Answer:

6

Step-by-step explanation:

Sum of first 4 numbers= 4*5= 20

This includes 3 + 4th number

Sum of last 4 numbers= 4*8= 32

This includes 4th number + 3

Sum of 7 numbers= 7*(6+4/7)= 46

This includes 3+4th number +3

Number common to both sets= (20+32)- 46 = 6

3 0

3 years ago

The ratio of boys to girls in a school is 9 : 10 whats does this ratio mean

Vesna [10]

Answer:

The ratio means that for every 9 boys there are 10 girls

Step-by-step explanation:

3 0

3 years ago

The sum of two numbers 10 and the difference of those two numbers is 18 (use f to represent the first number and s to represent

PtichkaEL [24]

F + s = 10

| f - s | = 18

-------

This means that:

f = 10 - s

And also that:

| f - s | = 18

(f-s)²=18²

f²- 2sf + s² = 324

But f=10-s

So...

(10-s)² - 2s(10-s) + s² = 324

(10-s)(10-s) - 20s + 2s² + s² = 324

100 - 20s + s² - 20s + 2s² + s² = 324

4s² - 40s + 100 = 324

4s² - 40s + 100 - 324 = 0

4s² - 40s - 224 = 0

1/4 * (4s² - 40s - 224) = 1/4 * 0

s² - 10s - 56 = 0

(s-14)(s+4)=0

So s can be either 14 or -4.

When s = 14, f = -4.

When s = -4, f = 14.

5 0

3 years ago