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boyakko [2]
3 years ago
14

The sum of two-thirds of a number and eight is equal to the difference of seven-thirds of the same number and two

Mathematics
1 answer:
saw5 [17]3 years ago
5 0
Here you go! Hope this helps.

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PLEASE HELP
ruslelena [56]

Answer:

i believe the answer is 117$

Step-by-step explanation:7*15=105 8*1.50=12... 12+105=117

4 0
3 years ago
A particle moves along the x–axis so that at time t its position is given by x(t) = (t+1)(t–3)3. For what values of t is the vel
rosijanka [135]

I'll assume that's an exponent at the end there:

x(t) = (t+1)(t-3)^3

The first derivative gives the velocity.  The second derivative gives the acceleration; increasing velocity is the same as positive acceleration.  So we want to find when the second derivative is positive.

Let's see if we can use d(uv) = u\, dv + v\, du to avoid multiplying this out.

x'(t) = 3 (t+1)(t-3)^2 + (t-3)^3

That worked; let's do it again:

x''(t) = 3( 2(t+1)(t-3) + (t-3)^2) + 3(t - 3)^2

x''(t) = 3(t-3) ( 2(t+1)  + (t-3) + (t - 3) ) = 3(t-3)(4t-4)=12(t-1)(t-3)

That's a nice parabola.  It's zero or negative for 1 \le t \le 3 so positive everywhere else:

Answer: Increasing velocity when t < 1 or t > 3


4 0
3 years ago
When a figure is dilated, the corresponding angles created are always
vesna_86 [32]

When a figure is dilated, this means the corresponding sides of the shape is enlarged in a uniform multiple. In thsi case, the ratio of the sides remains the same. Thus, when ratio of the sides remains the same, the corresponding angles are also congruent in the dilated figure. 
7 0
3 years ago
Read 2 more answers
Michelle opened her bank account on September 1st with $25 and continues to deposit $25 each month.
Colt1911 [192]

Michelle opened her bank account on September 1st with $25 and continues to deposit $25 each month. Calculate the time Michelle will have a total of $500 in her account.

Answer:

19 months

Step-by-step explanation:

Initial deposit =$25

Monthly deposit = $25

Total deposit, y after x months can be modeled using the relation :

y = $25 + $25x

To have a total of $500 ; y = 500

$500 = $25 + 25x

$500 - $25 = $25x

$475 = $25x

x = $475 / $25

x = 19 months

Hence, Michelle will have deposited a total of $500 in his account after 19 months

6 0
3 years ago
A rectangle measures 2 1/2 meters by 1 3/4 meters. What is its area?
REY [17]

Answer:

4 3/8

Step-by-step explanation:

1. We can use the formula

<em>Area = L (length) x W (width)</em>

2. The area is unknown so we can substitute it for<em> a</em>

<em>   </em>The length and width are both known, so we can plug them in.

<em>a= 2 1/2 x 1 3/4</em>

3. Solve by multiplying

<em>a=4 3/8</em>

3 0
3 years ago
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