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viktelen [127]
3 years ago
6

Answer correctly please ASAP!

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

10 1/2 ft=2x-18 in

convert ft to in--10 1/2ft=126 in

126=2x-18

2x=144

x=<em>72 inches or 6 feet</em>

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23. Kelvin travelled of his journey at 45 km/h and of the remaining journey at 90 km/h. The rest of his journey was completed in
Sonja [21]

Answer:

4.6 hours

Step-by-step explanation:

we first need to calculate the total distance he covered and total time taken whole for the journey.

Distance= speed X time

time = Distance/speed

let the total distance be X. he covers 2/5 if the journey first.

2/5 = 0.4

Time = 0.4x/45 hours

the remaining journey is 3/5x

he covers 1/3 X 3/5= 0.2x

time taken = 0.2/90 X hours

the remaining distance = 100× 1.2 = 120km

we add 0.4x + 0.2x to get the fraction he had covered

0.6x.

the remaining distance was X - 0.6x = 0.4 X

thus 120 km represents 0.4x of the journey

we calculate now the value of X

0.4x = 120

X = 300km

Total time taken = 0.4x/45 + 0.2/90 + 1.2 hours

replace X to get time

2.7 hours + 0.7 hours + 1.2 hours

= 4.6 hours

3 0
2 years ago
What is a product of power?
Kryger [21]

Answer:

To find a power of a product, find the power of each factor and then multiply. In general, (ab)m=am⋅bm. am⋅bm=(ab)m. In other words, you can keep the exponent the same and multiply the bases.

Step-by-step explanation:

We use the power of a product rule when there are more than one variables being multiplied together and raised to a power. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.

6 0
3 years ago
Read 2 more answers
If f(x) = 2x² - 6x + 8, find f(a - 2).
yan [13]

Answer: f(a-2) = 2a² - 14a + 28

Step-by-step explanation:

f(x) = 2x² - 6x + 8

you can take a-2 and substitute it for each x, which would look like this:

f(a-2) = 2(a-2)² - 6(a-2) + 8

then distribute those in ( )

f(a-2) = 2a² - 8a + 8 - 6a + 12 + 8

combine like terms

f(a-2) = 2a² - 14a + 28

7 0
2 years ago
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
Nata [24]

Answer:

The equations represent the situation is y=2x+6 and y=5+3x.

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.

<em>y</em>, is equal to twice the sum of a smaller number and 3.    

This information can be written as: y=2(x+3)

Which can be further solve as:

y=2x+6

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: y=5+3x

Thus, the equations represent the situation is y=2x+6 and y=5+3x.

Which can be further solve as:

2x+6=5+3x

x=1

Now, substitute the value of <em>x</em> in y=5+3x.

y=5+3

y=8

3 0
3 years ago
Read 2 more answers
Which ratio is equivalent to 3/7? <br> A) 6 to 10<br> B) 9:12<br> C) 12/35<br> D) 7 to 3
Leona [35]

we are ratio as

=\frac{3}{7}

It will be equivalent to only those terms which would be multiple of this term

so, we will multiply top and bottom term by 5

and we get

=\frac{3\times 5}{7\times 5}

=\frac{15}{7\times 5}

=\frac{15}{35}

so, it is very similar to 12/35

so, it will be equivalent to 12/35

so, option-C.......Answer

7 0
3 years ago
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