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Elena-2011 [213]
2 years ago
15

What is the value for B, after the equation cap a equals start fraction three over seven end fraction left parenthesis cap b min

us 25 right parenthesis is rearranged?
Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
3 0

<u><em>Answer:</em></u>

B = \frac{7}{3}A + 25

<u><em>Explanation:</em></u>

<u>The given equation is:</u>

A = \frac{3}{7} (B-25)

To get the value of B, we will need to isolate it on one side of the equation

<u>This is done as follows:</u>

A = \frac{3}{7} (B-25)  

<u>1- Multiply both sides by \frac{7}{3} to get rid of the fraction:</u>

\frac{7}{3}A = B - 25

<u>2- Add 25 to both sides of the equation:</u>

\frac{7}{3} A + 25 = B

Based on the above:

B = \frac{7}{3}A + 25

Hope this helps :)

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6 0
2 years ago
Use the information given to enter an equation in standard form.
grin007 [14]

Answer:

6x - 5y = -5

Step-by-step explanation:

Your FIRST goal is to fill out y = mx + b with the values of m (your slope) and b (your y-intercept). First, find m by dividing the change in y in the two points given by their change in x. (43 - 31)/(35-25) = 12/10 = 6/5. Plug this in immediately for a "placeholder equation" of y = 6/5x + b, which you can plug either of your points into and solve for b.

43 = 6/5(35) + b

43 = 42 + b

1 = b

Your SLOPE-INTERCEPT equation is y = 6/5x + 1. However, you were asked for standard form. This means you must convert into ax + by = c, where a b and c are all whole numbers, and a is positive.

y = 6/5x + 1

-6/5x + y = 1

6/5x - y = -1

6x - 5y = -5, and this is your final answer.

Let me know if you need a more in-depth explanation on any part of this!

6 0
2 years ago
Amy bought 0.4 kilogram of tomatoes for $4.00. What is the cost in dollars per kilogram of tomatoes?
nasty-shy [4]

Answer:

$10 per kilogram

Step-by-step explanation:

To eliminate the decimals,multiply everything by 10

0.4.........4

4.00.........40

4 kilos = $40

1 kilo = $10 (40/4)

3 0
3 years ago
Read 2 more answers
if you have 20 yards of ribbon and need to vut it into 2 yard lengths how many cuts do you have to make. step by step if u can i
wlad13 [49]

Answer:

10

Step-by-step explanation:

Given: 20 yards of ribbon in total. Need to make 2 yards each.

To find out how many yards you need to cut, divide:

20 / 2 = 10

So, you need to make 10 cuts for the 20 yards.

Hope this helped.

7 0
2 years ago
Read 2 more answers
A student throws a rock into the sky from the top of the Webster build- ing with an angle α = π 4 from the horizontal line and t
lord [1]

Answer:

  • r(0) = <0, 100> . . . . . . . .meters
  • r'(0) = <7.071, 7.071> . . . . meters per second

Step-by-step explanation:

<u>Initial Position</u>

The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...

  r(0) = <0, 100>

<u>Initial Velocity</u>

The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...

  r'(0) = <10·cos(π/4), 10·sin(π/4)>

  r'(0) ≈ <7.071, 7.071>

7 0
3 years ago
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