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RSB [31]
3 years ago
15

Factor completely 5x(x + 3) + 6(x + 3). (1 point)

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0

Answer:

<h3>The answer is ( 5x + 6 ) ( x + 3 )</h3>

Step-by-step explanation:

5x(x + 3) + 6(x + 3)

The final answer is

( 5x + 6 ) ( x + 3 )

Hope this helps you

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Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 mph faster than the other. If t
Artemon [7]

Answer:

46 mph and 61 mph

Step-by-step explanation:

Distance=speed*time

Let speed of one bus be x and another x+15

After 3 hours

First bus would have traveled 3x while second bus 3(x+15)=3x+45

Total distance= 3x+3x+45=6x+45

6x+45=321

6x=321-45=276

x=276/6=46 mph

x+15=46+15=61 mph

4 0
3 years ago
A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
kotykmax [81]

The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)

Answer:

t = 11.559 years

<h3>Compound Interest </h3>

Given Data

  • Principal P= $7000
  • Rate r= 5.5%
  • Final Amount A = $13200
  • Time t = ??

(about 11 years 7 months)

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.5/100

r = 0.055 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )

t = 11.559 years

Learn more about compound interest here:

brainly.com/question/24924853

6 0
2 years ago
The volume of cylinder is 448 pie cm cube and height 7 cm find its radius<br>​
Verizon [17]

<u>Answer:</u>

r =\bf 8 \space\ cm

<u>Step-by-step explanation:</u>

The formula for volume of a cylinder is as follows:

\boxed{Volume = \pi r^2 h}

where:

• r = radius (? cm)

• h = height (7 cm).

Substituting the values into the formula:
448 \pi  = \pi \times r^2 \times 7

Now solve for r:

⇒ r^2 = \frac{448 \pi }{\pi \times 7}

⇒ r = \sqrt{64}

⇒ r =\bf 8 \space\ cm

8 0
2 years ago
Read 2 more answers
Solve using the substitution method:<br><br> 6x + y =15<br> 4x + 3y = 31
Ksivusya [100]

Answer:

the answers to this are x= 1 and y= 9

3 0
3 years ago
Solve the proportion: 5/x+7=3/x+3
Allushta [10]

Answer:

x=3

Step-by-step explanation:

cross multiply

5(x+3)=3(x+7)

5x+15=3x+21

5x+15-3x=3x+21-3x

2x+15=21

2x+15-15=21-15

2x=6

x=3

7 0
3 years ago
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