A tree that is 2 feet tall is growing at a rate of 1 foot per year.A 6 foot tall tree is growing at a rate of ½ foot per year. In how
many years will the trees be the same height? How tall will the
trees be? system of equations

Answers

Answer 1

Answer: h=2+1y, or h=2+y where h is the final height, 2 is the original height, and 1y, or y, is the rate of feet per year.
h=6+1/2y, or h=6+0.5y, where h is the final height, 6 is the original height, and 1/2 y, or 0.5y, is the rate of feet per year.
Now, we plug in heights to try and find a number of years that they will be the same height.
Let's start with 12 feet.
12=2+1y
12=2+y
12-2=y
10=y

12=6+0.5y
12-6=0.5y
6=0.5y
12=y
We seem to be fairly close, so we'll try something a little larger, 18 feet.
18=2+y
18-2=y
16=y

18=6+0.5y
18-6=0.5y
12=0.5y
24=y
This seems to be much farther away, so we'll try a smaller number, 10 feet.
10=2+y
10-2=y
8=y

10=6+0.5y
10-6=0.5y
4=0.5y
8=y
The years are the same now, so we know that in 8 years, the trees will be the same height. We also know that they both will be 10 feet height tall.

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Solve the following equation: 28 ÷ 7 + 2 × 3 = ?

A. 24B. 18C. 10D. 12

Answers

Using the helpful saying
Please (parentheses)
Excuse (exponents)
My (multiply)
Dear (divide)
Aunt (add)
Sally (subtract)

We can see that multiplying comes first in this equation, then dividing then adding so
2x3=6
then
28/7=4
then
6+4=10

So your answer is C

What 2 numbers multiply to -360 and add up to 9

Answers

xy = -360
x + y = 9

x + y = 9
- x - x
y = -x + 9

xy = -360
x(-x + 9) = -360
x(-x) + x(9) = -360
-x^2 + 9x = -360
+ 360 + 360
-x^2 + 9x + 360 = 0
-1(x^2) - 1(-9x) - 1(-360) = 0
-1(x^2 - 9x - 360) = 0
-1 -1
x^2 - 9x - 360 = 0
(x + 15)(x - 24) = 0
x = -15 or x = 24

The two numbers that multipky to -360 and 9 are -15 and 24.

What is 15/8 as a mixed number

Answers

It would be equal to 1 7/8

1 and 3/4 would be the answer :)

Which inequality is equivalent to -x < -1

Answers

Answer:

x > 1

Step-by-step explanation:

To find an equivalent inequality for -x < -1, you can multiply both sides of the inequality by -1. When you multiply or divide both sides of an inequality by a negative number, you need to reverse the direction of the inequality sign. Here's how it works:

Starting inequality: -x < -1

Now, multiply both sides by -1 (remember to reverse the inequality sign):

-x * (-1) > -1 * (-1)

This simplifies to:

x > 1

So, the equivalent inequality is:

x > 1

Anyone know how to do this? Look at picture

Answers

A) if they were the same function, they would have identical graphs ⇒ it's not A
B) it's flipped vertically, but it's not moved ⇒it's not B
C) it's flipped vertically, not horizontally ⇒ it's not C
So it must be D)

Complete the following statement.
100% of $12 = $____

Help pls