Part A: The algebraic equation for the situation is 2x - 3 = 5
Part B: Bob has 4 brand new music CD's
Step-by-step explanation:
Translate the situation into an algebraic equation:
- Ann has 5 brand new music CD’s, which is 3 less than twice the amount that Bob (x) has
- Find the value of x (the number of brand new CD's Bob has)
Part A:
∵ Bob has x brand new CD's
∵ Ann has 5 brand new music CD’s, which is 3 less than twice
the amount that Bob has
- That means multiply x by 2 and then subtract 3 from the product
and equate the answer by 5
∵ Twice x 2x
∵ 3 less than twice x = 2x - 3
∴ 2x - 3 = 5
The algebraic equation for the situation is 2x - 3 = 5
Part B:
Let us solve the equation to find the value of x
∵ 2x - 3 = 5
- Add 3 to both sides
∴ 2x = 8
- Divide both sides by 2
∴ x = 4
Bob has 4 brand new music CD's
Learn more:
You can learn more about the algebraic expressions in brainly.com/question/1600376
#LearnwithBrainly
Assume you mean the transformation from x^2 to (x-10)^2 + 8
Then, you first shift x^2 10 units right, you will get (x-10)^2
And, shift (x-10)^2 8 units upward, you will get (x-10)^2 + 8
Answer:
mRP = 125°
mQS = 125°
mPQR = 235°
mRPQ = 305°
Step-by-step explanation:
Given that
Then:
- measure of arc RP, mRP = mROP = 125°
Given that
- ∠QOS and ∠ROP are vertical angles
Then:
- measure of arc QS, mQS = mROP = 125°
Given that
- ∠QOR and ∠SOP are vertical angles
Then:
Given that
- The addition of all central angles of a circle is 360°
Then:
mQOS + mROP + mQOR + mSOP = 360°
250° + 2mQOR = 360°
mQOR = (360°- 250°)/2
mQOR = mSOP = 55°
And (QOR and SOP are central angles):
- measure of arc QR, mQR = mQOR = 55°
- measure of arc SP, mSP = mSOP = 55°
Finally:
measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°
measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°
Answer:
Length = 12
Width = 8
Height = 4
Step-by-step explanation:
Let length of box = l
Width = 2/3 * l
Height = 1/3 * l
Volume of the box = 384 ft³
Volume = Length * width * height
Volume of box = l * 2/3 l * 1/3 l
384 = 2l³ / 9
384 * 9 = 2l³
3456 = 2l³
l³ = 3456 / 2
l³ = 1728
Take the Cube root of 1728
l = 12
Length = 12
Width = 2/3 * 12 = 8
Height = 1/3 * 12 = 4
Answer:
x = -12
Step-by-step explanation:
-2.5(x-4)=-3x+4
Distribute
-2.5x +10 = -3x +4
Add 3x to each side
-2.5x+10 +3x = -3x+4+3x
.5x +10 = 4
Subtract 10 from each side
.5x+10-10=4-10
.5x = -6
Divide by .5
.5x/.5 = -6/.5
x = -12
