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motikmotik
3 years ago
13

4r+3=r+21 How do I do this?

Mathematics
2 answers:
wolverine [178]3 years ago
7 0
You first:
4r+3-3=r+21-3
4r=r+18 
4r-r=r-r+18
3r=18
3r/3=18/3
r=6
remember that what you do in one side, do it in the other
nika2105 [10]3 years ago
6 0
Simplify: 4r + 3 = r + 21, then reorder the terms: 3 + 4r = r + 21.
Reorder the terms 3 + 4r = 21 + r. Solve: 3 + 4r = 21 + r. 
Move all terms containing r to the left, all other terms to the right.
<span>Solving for variable 'r'.
</span> Add '-1r' to each side of the equation. 3 + 4r + -1r = 21 + r + -1r.
 Combine like terms: 4r + -1r = 3r<span>3 + 3r = 21 + r + -1r
 Combine like terms: r + -1r = 0 3 + 3r = 21 + 0 3 + 3r = 21
 Add '-3' to each side of the equation. 3 + -3 + 3r = 21 + -3
 Combine like terms: 3 + -3 = 0 0 + 3r = 21 + -3 3r = 21 + -3
 Combine like terms: 21 + -3 = 18 3r = 18
Divide each side by '3'. r = 6 Simplifying r = 6</span>
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4 questions ! will mark and rate!
Dennis_Churaev [7]

Answer:

1. 617.5 cm³

2. 335.6 in³

3. 151.6 m³

4. 3479.1 ft³

Step-by-step explanation:

1.

B1: 19.5 × 9 = 175.5

B2: 6 × 13 = 78

sqrt(B1 ×B2) = 117

h = 5

Volume = ⅓ × 5 × [175.5 + 78 + 117]

617.5

2.

B1: 3.14 × 4.5² = 63.585

B2: 3.14 × 3² = 28.26

sqrt(B1 ×B2) = 42.39

h = 7.5

Volume = ⅓ × 7.5 × [63.585 + 28.26 + 42.39]

335.5875

3.

B1: ½(8+12) × 6 = 60

B2: ½(3+4.5) × 2.25 = 8.4375

sqrt(B1 ×B2) = 22.5

h = 5

Volume = ⅓ × 5 × [60 + 8.4364 + 22.5]

151.5625

4.

B1: 3.14 × 12² = 452.16

B2: 3.14 × 7² = 153.86

sqrt(B1 ×B2) = 263.76

h² = 13² - (12-7)²

h² = 13² - 5²

h² = 144

h = 12

Volume = ⅓ × 12 × [452.16 + 153.86 + 263.76]

3479.12

7 0
3 years ago
joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour
SVEN [57.7K]

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

8 0
3 years ago
3x^2+42x+105=0 Find the solution<br><br>  <br>  <br> 0<br> 0
Nina [5.8K]

Step-by-step explanation:

I think we have to find the factors so

3x2 + 42x + 105

First we will multiply 105 by 3 = 315 then find factors of 315 which may add or subtract = 42

So 45 and 7

3x2 + 45x - 7x + 105

3x( x + 15) - 7(x - 15)

(3x - 7) and ( x - 15) are the factors

There is a problem please recheck the question

6 0
3 years ago
WHOEVER GETS IT RIGHT FIRST WILL BE CHOSEN THE BRAINLIEST!!
melisa1 [442]
The correct answer is x=12
8 0
3 years ago
Read 2 more answers
Connie started with___<br> in her saving account<br><br><br> Fill in the blank
Irina18 [472]

Answer:

Connie started with <u>$25</u> in her savings account.

Step-by-step explanation:

The y-intercept is the value of the function at time zero.

At x = 0, which is week zero, when Connie opened the account, the y value is 25. That means she opened the account with $25.

Answer: $25

3 0
3 years ago
Read 2 more answers
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