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polet [3.4K]
3 years ago
5

A) Simplify the expression and explain each step. 4(3x + 2) -2 = ? b) Factor the expression completely. 20b - 16 = ?

Mathematics
1 answer:
Amanda [17]3 years ago
5 0
20b-16 =4(5b-4) and that is the answer
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Adam is in mexico where the temperature is given degrees celsius . To convert to fahrenheit you multiply the celsius temperature
Anestetic [448]

Answer:

When temperature is 30 in degrees Celsius then temperature in degree  Fahrenheit  is 86.

Step-by-step explanation:

Let C denotes the temperature in degree Celsius and F denotes the temperature in degree Fahrenheit.

According to the given question,

To convert to Fahrenheit we multiply the Celsius temperature by 9/5 and add 32.

Mathematically it can be written as,

F=C\times\frac{9}{5}+32

For example , let us take the temperature  in mexico to be 30 degrees Celsius to convert the temperature to Fahrenheit  we can use this equation as ,

F=C\times\frac{9}{5}+32

Put C = 30, we get

\Rightarrow F=30\times\frac{9}{5}+32

\Rightarrow F=6 \times 9+32

\Rightarrow F=54+32

\Rightarrow F=86

Thus, when temperature is 30 in degrees Celsius then temperature in degree  Fahrenheit  is 86.

4 0
3 years ago
Paige launched a ball using a catapult she built. The height of the ball (in meters above the ground) ttt seconds after launch i
agasfer [191]

Answer:

1) Factor form : h(t)=-5t(t-8)

2) 8 second after launch.

Step-by-step explanation:

The height of the ball (in meters above the ground) t seconds after launch is modeled by

h(t)=-5t^2+40t

To find the time when ball hit the ground, we need to find the factor form of the given function.

h(t)=-5t(t-8)

When ball hi the ground, then height of the ball from the ground is 0.

h(t)=0

-5t(t-8)=0

Using zero product property, we get

-5t=0\Rightarrow t=0

t-8=0\Rightarrow t=8

Ball hit the ground at t=0 and t=8. It means ball hit the ground in starting and 8 second after launch.

5 0
3 years ago
Translate each verbal description into an algebraic expression. Simplify the expression when you can
REY [17]
Hello there!
So, let's start off with the first one:

A) 60% of One - half x

I believe a couple of possible equations would be: 0.60*1/2x or 0.60*0.5x. 1/2 and 0.5 both equal half of a number. The 0.60 would equal 60%. I'll plug 10 into x of both equations to see what I come up with:

First Equation:
1/2 * 10/1 = 10/2 or 5.
0.60 * 5 = 3

Second Equation:
0.5 * 10 = 5
0.60 * 5 = 3

So they both come up with the same answer, so that makes them both equal, which makes them both possible equations.

B) 7 times z reduced by a third of the product

7z - 1/3 seems like a good equation. Let me plug in 5 for z to solve:

7 * 5 = 35
Convert 35/1 into 105/3 by multiplying both sides by 3
105/3 - 1/3 = 104/3 (approx. 34.7)

C) Three-fourths of V subtracted from 6 times two-ninths

A good equation for this would probably be (6*2/9)-3/4v. I'll plug 5 into v to show how we would solve the equation:

6/1 * 2/9 = 12/9 or 1 1/3.
3/4 * 5/1 = 15/4 or 3 3/4.
(Use the fractions 16/12 and 45/12 as 16/12 = 12/9 and 15/4 = 45/12)
16/12 - 45/12 = -29/12 or −<span>2 <span>5/12</span></span>

D) Sum of 2x, (2/3 + 5) and 11-x

I think the right equation for this would be 2x + (2/3 + 5) + 11-x. Plug in 3 for x to solve:

(Use 15/3 when adding 2/3 and 5 because 5 = 15/3)
2/3 + 15/3 = 17/3 or 5 2/3
2 * 3 = 6
11 - 3 = 8
(Use 18/3 and 24/3 when adding up 6 + 5 2/3 + 8 as 6 = 18/3 and 8 = 24/3
17/3 + 18/3 + 24/3 = 59/3 or 19 2/3

Sorry if this confused you xD but, basically,  the possible equations are as follows:

1 = 0.60*1/2x or 0.60*0.5x
2 = 7z - 1/3
3 = <span>(6*2/9)-3/4v
</span>4 = 2x + (2/3 + 5) + 11-x

I hope this helped! If not, I'm very sorry. Algebra isn't my strong suit ^.^'

3 0
3 years ago
A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the
Lady_Fox [76]

Answer:

angle of depression = -12 degrees

Step-by-step explanation:

Sin = opposite/hypotenuse

sin = -208/1000

inv sin 0.208 = -12

8 0
3 years ago
Write the number 254 as a sum of hundreds,tens,and ones
Aloiza [94]
200+50+4=254 is the answer
5 0
3 years ago
Read 2 more answers
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