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3 years ago

Simplify the expression completely. (-3c-2d2e101-3)

Mathematics

1 answer:

GREYUIT [131]3 years ago

8 0

Answer:

-3c-2d^(2)e^(101)-3

Step-by-step explanation:

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You pay $228.50 in taxes at a rate of 10.25% to buy a new TV. How much did the tv cost original? Round your number to the hundre

Allisa [31]

Answer:

$2229.27

Step-by-step explanation:

tax rate: 10.25%

tax amount: $228.50

price before tax: x

10.25% of x = $228.50

0.1025x = 228.5

x = 228.5/0.1025

x = 2229.27

Answer: $2229.27

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3 years ago

2.5 X 10^5 divided by 1.0 X 10^10

bekas [8.4K]

Answer:

0.000025

Step-by-step explanation:

PEMDAS (Exponets first.)

10^5 = 100,000

10^10 = 10,000,000,000

rewrite

2.5 x 100,000 divided by 1.0 x 10,000,000,000

PEMDAS (multiplication next.)

2.5 x (10^5) = 250,000

1.0 x (10^10) = 10,000,000,000

rewrite.

250,000 divided by 10,000,000,000 = 0.000025

0.000025

6 0

3 years ago

Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain.

statuscvo [17]

No it is NOT possible - that would mean the final angle would also have to be ninety degrees making it a square or rectangle. :)

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3 years ago

You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s

fredd [130]

Answer:

Time spent rowing down stream $=100\ seconds$

Speed of boat in still water $=14\ ms^{-1}$

Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

Speed of current $= 10\ ms^{-1}$

Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

Distance rowed down stream = 2400 m

Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

Speed of boat up stream = $\textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}$

Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

$6(x-10)=x+10$

$6x-60=x+10$

Adding 60 to both sides.

$6x-60+60=x+10+60$

$6x=x+70$

Subtracting both sides by $x$

$6x-x=x+70-x$

$5x=70$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

∴ $x=14$

Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

3 0

3 years ago

Sarah has a 22 ounce lemonade. She drinks 9 ounces. Enter the percentage of ounces Sarah has left of her lemonade. Round your an

blagie [28]

Answer:

40.91 percent

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3 years ago

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