Explain how modeling partial products can be used to find the products of greater numbers.

Answers

Answer 1

Answer: It is easier to multiply. For example: 63 multiply by 7
63 x 7 = (60+3) x 7 = 60 x 7 + 3 x 7 = 420 + 21 = 441

Another example : 25 x 73
25 x 73 = (20+5) x (70+3) = 20 x 70 + 20x3 + 5x70 + 5x3

= 1400 + 60 + 350 + 15 = 1875

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Eighty-three million twenty-three thousand seven in standard form

B(n)=4-6(n-1) find the fourth term

Answers

Answer:

b(4) = -14

Step-by-step explanation:

b(n)=4-6(n-1)

let n=4

b(4) = 4 - 6(4-1)

b(4) = 4-6*3

b(4) = 4-18

b(4) = -14

Write 90,523 in Word form

Answers

Ninety thousand five hundred twenty three

A population numbers 508 organisms initially and increases by 6.2% each year.Suppose P represents population, and t the number of years of growth. Write an exponential model to represent this situation.

Answers

To find the population after t number of years, multiply the starting population by 1 plus the percent increase raised to the number of years.

The equation would be: P = 508(1.062)^t

The formulaF = 1.8C + 32 gives the temperature
in degrees Fahrenheit (F ) for a given
temperature in degrees Celsius (C ). There is
one temperature for which the number of
degrees Fahrenheit is equal to the number
of degrees Celsius. Write an equation you
can solve to find that temperature and
then use it to find the temperature

Answers

Yes, that's an interesting exercise.

The Celsius temp is ' C ' .

The Fahrenheit temp is 1.8C + 32

If they're the same number, then C = 1.8C + 32

Subtract 1.8C from each side: -0.8C = 32

Multiply each side by -1 : 0.8C = -32

Divide each side by 0.8 : C = -32/0.8 = -40 .

-40°F and -40°C are the same temperature.

Answer:

$C = 1.8C + 32$

40° is the temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius.

Step-by-step explanation:

Given : F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F ) for a given temperature in degrees Celsius (C ).

To Find: There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius. Write an equation you can solve to find that temperature and then use it to find the temperature.

Solution :

Given Formula : F = 1.8C + 32

If number of degrees Fahrenheit is equal to the number of degrees Celsius

Then , $C = 1.8C + 32$

⇒ -0.8C =32

⇒ $C = (-32)/(0.8)$

⇒ $C = 40^(\circ)$

Thus The equation we can use to find the temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius:

$C = 1.8C + 32$

40° is the temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius.

Solve the word problem.  The height of a triangle with base b and area A is given by the formula h = 2A/B .  What is the height of a triangle with area 26 cm2 and base 8 cm?  A.1.625 cm
B.3.25 cm
C.3.5 cm
D.6.5 cm

Answers

$h = (2A)/(b) \ \ \ and\ \ \ A=26\ cm^2\ \ \ and\ \ \ b=8\ cm\n\nh= (2\cdot26)/(8) = (2\cdot2\cdot13)/(2\cdot2\cdot2) = (13)/(2) =6.5\ [cm]\n\nAns.\ D$

A pilot wants to arrive at her destination as soon as possible. Air traffic is busy, so she can take off 16 minutes later than expected and will be able to travel four times faster than expected if she waits. Create an equation to represent her total travel time, including wait time, where x is the number of minutes the flight was expected to take.

Answers

Answer:

$(4)/(x)=(1)/(x-16)$

$21(1)/(3)\ \text{minutes}$

Step-by-step explanation:

Let x be the number of minutes the flight was expected to take. Actually, the flight will take (x+16) minutes.

Let S be the distance to be covered.

Expected speed $=(S)/(x)$

Actual speed $=(S)/(x-16)$ (shee will be flying 16 minutes less)

The pilot will be able to travel four times faster than expected if she waits, so

$4\cdot (S)/(x)=(S)/(x-16)\ \ \ \text{[Divide by S]}\n \n(4)/(x)=(1)/(x-16)\ \ \ \text{[Cross multiply]}\n \n4(x-16)=x\n \n4x-64=x\n \n4x-x=64\n \n3x=64\n \nx=(64)/(3)=21(1)/(3)\ \text{minutes}$

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the henry family drove 276.5 miles on the family vaction. They used 7.9 gallons of gas.how many miles per gallon of gas did they get on the trip

8:48=7:02True or false

What are from 8 a.m. to 11:47 a.m.