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Ludmilka [50]
4 years ago
14

What is the answer to 7b-15=5b-3

Mathematics
2 answers:
Sidana [21]4 years ago
7 0
First you move -15 over which makes it 7b=5b+12
then you move 5b over so then its 2b=12
divide b=6
Harrizon [31]4 years ago
7 0
7b - 15 = 5b - 3
7b - 5b = -3 + 15
2b = 12
b = 6
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Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81+...
PilotLPTM [1.2K]
Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)

The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.

S=\dfrac13+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots
S=\dfrac13\left(1+\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\cdots\right)

We can then find the exact value of the sum:

\dfrac23S=\dfrac13\left(\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\dfrac{2^4}{3^4}+\cdots\right)

\impliesS-\dfrac23S=\dfrac13
\implies\dfrac13S=\dfrac13
\implies S=1

So the answer is B.
8 0
3 years ago
Are these figure similar?
Phoenix [80]

Answer:

Yes. Its the same shape. It doesnt need to be the same size to be similar

Step-by-step explanation:

3 0
3 years ago
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. What is the volume of
Brums [2.3K]
The complete question in the attached figure

we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³

[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
[volume of a a triangular prism]=[110]*25------------> 2750 units³

[volume of a the composite figure]=[volume of a cone]+[volume of a a triangular prism]
[volume of a the composite figure]=[715]+[2750]-------> 3465 units³

the answer is
The volume of a the composite figure is 3465 units³

8 0
3 years ago
Read 2 more answers
A local yoga studio
Andrews [41]

Answer:

Let's call the first studio, yoga studio A.

Let's call the second studio, yoga studio B.

The equations:

Yoga Studio A: y=10x+55

Yoga Studio B: y=12.5x+25

So, for 12 classes:

Yoga Studio A: y=10(12)+55, y=175

Yoga Studio B: y=12.5(12)+25, y=175

These two numbers are equal, so Griffin is right.

For 10 classes:

Yoga Studio A: y=10(10)+55, y=155

Yoga Studio B: y=12.5(10)+25, y=150.

These two numbers are not equal, so Gigi is wrong.

Let me know if this helps!

5 0
3 years ago
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saveliy_v [14]

Answer:

table two

Step-by-step explanation:

The increase rate for table one is constant that's why it is a linear function

In the second table, however, the increase rate increases as x increases, it is not constant; therefore, table two is a quadratic function.

3 0
3 years ago
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