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3 years ago

Six plus four times a number plus four times four minus four times the number no

Mathematics

1 answer:

zalisa [80]3 years ago

5 0

Answer:

The resultant expression would be 22 - 12x

Step-by-step explanation:

Let x be the unknown number,

Six plus four times a number = 6 + 4x

Four times four minus four times the number number = 4(4 - 4x)

Thus, Six plus four times the number plus four times four minus four times the number number = 6 + 4x + 4(4 - 4x)

Using distributive property,

6 + 4x + 16 - 16x

Combining like terms,

22 - 12x

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3 0

3 years ago

JK=2X KL=X+2 and JK=5X-10

elixir [45]

JK + KL = JL

JK = 2x, KL = x + 2, JL = 5x - 10

therefore we heve the equation:

2x + (x + 2) = 5x - 10

3x + 2 = 5x - 10 |-2

3x = 5x - 12 |-5x

-2x = -12 |:(-2)

x = 6

JK = 2x → JK = 2(6) = 12

KL = x + 2 → KL = 6 + 2 = 8

JL = 5x - 10 → JL = 5(6) - 10 = 30 - 10 = 20

Check:

JK + KL = JL

12 + 8 = 20 CORRECT :)

5 0

3 years ago

The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature fin

taurus [48]

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = $a(e)^{nt}$

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = $98.6(e)^{nt}$ --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

= 1 hour

Therefore, equation will be,

84.4 = $91.8(e)^{n\times 1}$

eⁿ = $\frac{84.4}{91.8}$

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = $98.6(e)^{-0.08403t}$

$(e)^{0.08403t}=\frac{98.6}{91.8}$

$ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}]$

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

= 10:90 - 00:51

= 10:39 am

7 0

2 years ago

31 gallons of gas cost $82.15. What is the unit rate for 1 gallon of gas ?

alexgriva [62]

Divide total price by gallons:

82.15 / 31 = 2.65 for 1 gallon

7 0

3 years ago

A recipe calls for 4/5 cup of milk and 1/2 cup of rice. How much more milk than rice is needed?

Norma-Jean [14]

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers