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3 years ago

Please help FAST (and no sites >:()

Mathematics

2 answers:

Norma-Jean [14]3 years ago

7 0

Answer:

Option D

Step-by-step explanation:

Option D,

4(1/2) + (1/4)2 =

(4/8) + (2/8) =

6/8

LekaFEV [45]3 years ago

3 0

Answer:

your answer is D. 6/8 hope this helps you

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It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada

Travka [436]

Answer:

120 miles

Step-by-step explanation:

we know that

The speed is equal to the distance divided by the time

Let

s------> the speed in mph

d-----> the distance in miles

t -----> the time in hours

s=d/t

solve for the distance

d=s*t

It will take Adam four hours to drive to Disney Park

s=x mph

t=4 h

substitute

d=4x -----> equation A

It will take Adam 2.5 times less time if driving 45 mph faster

s=(x+45) mph

t=4/2.5=1.6 h

substitute

d=1.6(x+45) -----> equation B

equate equation A and equation B

4x=1.6(x+45)

Solve for x

4x=1.6x+72

4x-1.6x=72

2.4x=72

x=30 mph

Find the distance d

d=4x -----> d=4(30)=120 miles

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3 years ago

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Which variable will you choose to eliminate? How? -3x -8y=-24 and 3x - 5y= 45

Jet001 [13]

Answer:

Lets choose y

-8y=3x-24
y=-3/8x+3

Plug in

3x+15/8x-15=45
39/8x= 60
x=480/39

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3 years ago

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A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 6 feet

Nikolay [14]

It will be 14 we calculated

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3 years ago

Whats the answer? A, B, C, or D??

vesna_86 [32]

Answer:

C is the correct answer

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4 years ago

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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

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3 years ago