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2 years ago

150 in product of primes in index form

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

5 0

Answer:

Step-by-step explanation:

The prime factor representation of 150 is 2 x 3 x 5^2

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Lucy's house cost £200 000 at the start of 2014, the value of the house increased every year by 5%, work out the value of her ho

liq [111]

Answer:

212000

Step-by-step explanation:

120000 - 5% = 190000

hence 5% is 10000

120000+ 30000= 212000

8 0

3 years ago

37 is ____ % of 148; 148 is ____ % of 37 fill in the blanks

soldier1979 [14.2K]

37 is 25% of 148; 148 is 400% of 37

Step-by-step explanation:

Let us solve the questions one by one

"37 is ____ % of 148"

Let x be the percentage

Then

$37 = x\%\ of\ 148\\37 = 148x\\x = \frac{37}{148}\\x = 0.25$

to convert in percentage, multiplying by 100

= 25%

"148 is ____ % of 37"

Let y be the percentage

then

$148 = y\%\ of\ 37\\148 = 37y\\y = \frac{148}{37}\\y = 4$

To convert into percentage, multiplying by 100

= 400%

Hence,

37 is 25% of 148; 148 is 400% of 37

Keywords: Percentage, percent

Learn more about percentage at:

#LearnwithBrainly

4 0

3 years ago

A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

8 0

3 years ago

If Jaliya has 5 paintings and paints 6 more how much does she have now?

matrenka [14]

Answer:

Step-by-step explanation:

5+6

4 0

3 years ago

Read 2 more answers

Simplify cos(θ) − sec(θ) /<br> sin(θ)

Salsk061 [2.6K]

<span>Replace tan θ with sin θ/cos θ

= sin²θ/cos θ + cos θ

Now multiply the right-hand side by cos θ/cos θ to get the same denominator:

= sin²θ/cos θ + cos²θ/cos θ
= (sin²θ + cos²θ)/cos θ

The numerator is equivalent to 1:

= 1 / cos θ
= sec θ</span>

7 0

3 years ago