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Drupady [299]
3 years ago
15

What is the equivalent expression 9(2a+1)

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0
9( 2a+1 ) = 

Distribute parentheses using : a(b+c) = ab+ ac

9 * 2a + 9 * 1 =

18 a + 9

hope this helps!
elena-14-01-66 [18.8K]3 years ago
3 0
18a+9 is equivalent
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Half an hour after leaving her house Beverly was 20 miles from home. At this point she merged onto the highway and was traveling
N76 [4]

Answer:

1. 45.71 miles

2. 10 miles

3. 89.43 miles

4. 0.79 hr

5. 0.025 hr

Step-by-step explanation:

speed = distance/time

After 4 hrs Beverly was 200 miles from home , however she had spent 0.5hr travelling for 20 miles prior to getting to the highway.

Therefore;

Constant speed before Highway = 20/0.5 = 40 miles/hr

Constant speed at Highway = \frac{(200-20)}{(4-0.5)} = 51.43 miles/hr

1. in 1 hr beverly will have travelled;

⇒ (20 miles in 0.5 hr ) + (0.5 hr  at speed 51.43 miles/hr)

⇒ 20 + (0.5 x 51.43) = 45.71 miles

2. In 0.25 hr beverly had not reached the highway

⇒ distance = speed x time

⇒ distance = 40 x 0.25 = 10 miles

3. in 1.85 hrs beverly will have travvelld;

⇒ (20 miles in 0.5 hr ) + (1.35 hr at speed 51.43 miles/hr)

⇒ 20 + 69.43 = 89.43 miles

4. Time taken to get to 35 miles

⇒ (20 miles in 0.5 hr ) + (15 miles  at speed 51.43 miles/hr)

⇒ 0.5hr + (15/51.43) hr = 0.79 hr

5. Time taken to travel 1 mile

 ⇒ time = distance / speed = 1 mile  / 40 miles/hr

⇒ time = 0.025 hr

8 0
3 years ago
I need help with #22-23
alina1380 [7]

Answer:

Step-by-step explanation:

8 0
3 years ago
Rearrange w=3(2a+b)-4 to make a the subject
garik1379 [7]

Answer:

w-6b+4/6

Step-by-step explanation:

To get the answer you have to first open the bracket which will give you w=6a+6b-4.You then take 6b-4 to the other side to meet w after this divide all by 6 to make a the subject of the formula.

4 0
2 years ago
A sound wave travels at 330m/s and has a wavelength of 2 m. calculate its frequency and period.
RoseWind [281]

Answer:

frequency= 165Hz

period= \frac{1}{165}

Step-by-step explanation:

1. To calculate the frequency using the formula:

f = v/λ

where,

f=frequency (what the question asked)

v=speed of wave (given in the question=330m/s)

λ=wavelength (given in the question=2m)

SO,

f=\frac{330}{2}

= 165Hz

2. To calculate the period use the formula:

since f=\frac{1}{T}

therefore, T=\frac{1}{f}

where,

f= frequency (what we solved above=165Hz)

T= period (what the question asked)

SO,

T=\frac{1}{165}

4 0
2 years ago
Sally is a sales manager.She makes $73,000 a year.Sally has worked hard all year and receives a 6% raise.How much will sally mak
dolphi86 [110]

Answer:

$77,380

Step-by-step explanation:

If she gets a 6% raise next year she will make 106% of what she makes this year.  

106% is 1.06 as a decimal.  Multiply her salary by 1.06 to find out how much she will make next year...

$73,000(1.06) = $77,380

4 0
3 years ago
Read 2 more answers
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