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3 years ago

1 2/6 as an improper fraction

Mathematics

1 answer:

gladu [14]3 years ago

3 0

Answer:

=4/3

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

6 × 1 = 6

Step 2

Add the answer from Step 1 to the numerator

6 + 2 = 8

Step 3

Write answer from Step 2 over the denominator

8/6

=86

You can also reduce this fraction.

Find the Greatest Common Factor (GCF) of 8 and 6, if it exists, and reduce our fraction by dividing both numerator and denominator by it,

GCF = 2

=8÷2=4

6/2=3

Simplified Solution

=6×1+2/6 =8/6=4/3

hope this helps

you welcome and thanks

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GalinKa [24]

Answer:

26: x=34

28: x=17

30: m=30

Step-by-step explanation:

26: 2x+22=90

subtract 22

2x=68

divide by 2

x=34

28: 18+3x+21=90

add 18 and 21

3x+39=90

subtract 39

3x=51

divide by 3

x=17

30: 43+87+m+20=180

add 43 and 87 and 20

m+150=180

subtract 150

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3 years ago

H(x)=x−4h What is the domain of h?

MAVERICK [17]

Answer:

h= x/ x+4

Step-by-step explanation:

Move all terms to the left side and set equal to zero, Then set each factor equal to zero.

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2 years ago

Hhhheeeeellllllpppp no 13 and 14

laila [671]

Answer:

13. B. 24 cm²

14. y = 5⅝ (none of the options is correct)

Step-by-step explanation:

13. The figure is a trapezoid

Area of the trapezoid = ½(a + b)h

Where,

a = 3 cm

b = 5 cm

h = 6 cm

Area = ½(3 + 5)6

= ½(8)6

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14. Area of the triangle = ½*b*h

The area is given to be 45 cm²

base (b) = 16 cm

height (h) = y

Plug in the values and solve for y

45 = ½*16*y

45 = 8y

Divide both sides by 8

45/8 = 8y/8

45/8 = y

5⅝ = y

y = 5⅝ (none of the options is correct)

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2 years ago

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Mandarinka [93]

Answer: Attached.

Step-by-step explanation:

Either solve the equations directly, or graph them and look for the point of intersection.

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2 years ago

A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

3 years ago