Solve the equation<br> 1/10 (x+108)=-2(6-x)

Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the o

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

an hour, or 60 minutes

3 0

3 years ago

Read 2 more answers

Suppose you are given two angles A and B in which angle a is equal to angle b. If the measure of a compliment of angle a is equa

zepelin [54]

5x + 20 = 90 - a = 90 - (3x + 40)
5x + 20 = 90 - 3x - 40 = 50 - 3x
5x + 3x = 50 - 20
8x = 30
x = 30/8 = 15/4

b = 3(15/4) + 40 = 45/4 + 40 = 51.25
The measure of a supplementary angle is 180 - 51.25 = 128.75

4 0

3 years ago

What is the factorization of 3x2 – 8x + 5?

tatuchka [14]

For this case we must factor the following expression:

$3x ^ 2-8x + 5$

We rewrite the middle term as a sum of two terms whose product is

$a * c = 3 * 5 = 15$

And whose sum is

$b = -8$

These numbers are:

-5 and -3

So:

$3x ^ 2-5x-3x + 5$

We factor the maximum common denominator of each group: $x (3x-5) - (3x-5)$

We take common factor $(3x-5):$

$(3x-5) (x-1)$

Answer:

$(3x-5) (x-1)$

5 0

3 years ago

A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t

Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

$\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}$

Use the slope(m) and y-intercept (b) to write the equation:

$\begin{gathered} y=mx+b \\ \\ y=0.22x+17.2 \end{gathered}$ A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

$\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\ \\ y=23.58 \end{gathered}$ Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

$\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\ \\ 58=x \end{gathered}$ Then, after 58 months the tree would be 29.96feet tall

3 0

1 year ago

2. A doctor created a scatterplot to show the relationship of heart rate to

Fed [463]

Answer:

Step-by-step explanation:

6 0

3 years ago

Solve the equation 1/10 (x+108)=-2(6-x)