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2 years ago

Interpreting linear expressions 5 stars if answer is correct have a splendid day

Mathematics

1 answer:

Mandarinka [93]2 years ago

5 0

Answer:

Total number of kilometers in the ride = k

Number of kilometers Garret has already biked = 5

Number of kilometers left in the ride = 5-k

Number of minutes Garret takes per kilometer = 4

Therefore, the image shown is correct.

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Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=22 g$ is the final amount of the radioactive element

$A_{o}=800 g$ is the initial amount of the radioactive element

$t$ is the time elapsed

$h=8 min$ is the half life of the radioactive element

So, we need to substitute the given values and find $t$ from (1):

$22 g=(800 g) 2^{\frac{-t}{8 min}}$ (2)

$\frac{22 g}{800 g}=2^{\frac{-t}{8 min}}$ (3)

$\frac{11}{400}=2^{\frac{-t}{8 min}}$ (4)

Applying natural logarithm in both sides:

$ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}})$ (5)

$-3.593=-\frac{t}{8 min}ln(2)$ (6)

Clearing $t$ :

$t=41.46 min \approx 41.5 min$ This is the time elapsed

7 0

2 years ago

Solve for x. PLZ WAIT FOR THE PHTO TO UPLOAD

stepan [7]

6x² - 5x + -21 = 0

Because this whole equation equals zero, we must simply factorize the first half of the equation, or the left side.

(3x - 7)(2x + 3) = 0

I was never really taught a specific way to factorize, so I usually just guess and check when factorizing. It usually takes a long time, it always gives you the tight answer.

Then, take each equation and make it equal zero.

3x - 7 = 0 AND 2x + 3 = 0

3x - 7 = 0

Add 7 to both sides.

3x = 7

Divide both sides by 3.

x = 7/3

Now, we do our second equation.

2x + 3 = 0

Subtract 3 from both sides.

2x = -3

Divide both sides by 2.

x = -3/2

So, x = 7/3 AND x = -3/2

So, your answer is C) x = 7/3, x = -3/2

~Hope I helped!~

7 0

2 years ago

26 is the product of Rita's score and 2

earnstyle [38]

If it’s division try 13 not rlly sure so don’t give me hate if it wrong

3 0

2 years ago

Read 2 more answers

The perimeter of a rectangle is

e-lub [12.9K]

P = 2(L + W)

510 = 2(L + W) ...divide both sides by 2

510/2 = L + W

255 = L + W

3/5(255) = 765/5 = 153 cm <== length

2/5(255) = 510/5 = 102 cm <== width

6 0

2 years ago

Domingo works 40 hours per week as a tire store manager . If he made $29640 last year. how much he made per hour

Fed [463]

THERE ARE 52 WEEKS IN A YEAR.
40 (hours) x 52 (weeks) = 2080
29460 / 2080 = 14.25

He made a. $14.25 per hour.

5 0

3 years ago