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3 years ago

Estimate a 15% tip on a dinner bill of 39.51

Mathematics

2 answers:

tatyana61 [14]3 years ago

8 0

Answer:

Tip Total: $ 6

Tip Each Person: $ 6

Total (Bill + Tip): $ 46

kipiarov [429]3 years ago

6 0

Answer:

total cost: $45.51

Step-by-step explanation:

to find 15% of the dinner bill. we multiply 39.51 by the decimal form of 15%, which is 0.15

39.51 x 0.15 ≈ 5.926

you can estimate this by rounding up to a $6 tip, or to include cents, you can round to $5.93

to find the total cost with the estimated amount we can add:

39.51 + 6= $45.51 is the total cost

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2 years ago

Solve 12x + 6 2 9x + 12. A. X2 B. xs2 O C. X26 0 D. Xs6 SUBNANT

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2 years ago

In a village, there was an epidemic and the population decreased by 10%. If there were only 1800 people left in the village, wha

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$\bold{\boxed{\huge{\blue{\underline{Answer }}}}}$

$\bold{\underline{ Given :- }}$

$\sf{The\: population\: is\: decreased \:by\: 10 percent }$

$\sf{There\: were \: only \: 1800 \: people \: left}$

$\bold{\underline{ To\: Find :- }}$

$\sf{we \: have \: to \: find\: original \: population? }$

$\bold{\underline{ Let's \: Begin :- }}$

$\sf{Let \: the \: total \: population\: be \: x }$

$\sf{\underline{ Therefore }}$

$\sf{According \: to \: the \: question }$

$\sf{ x - 10/100 = 1800 }$

$\sf{ 100x - 10/100 = 1800}$

$\sf{ 100x - 10 = 1800 × 100}$

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$\sf{ 100x = 180000 + 10}$

$\sf{ x = 180010/100}$

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$\bold{\pink{Hence , The\: original \:population \:of \: the\: village \:is \:1800.1 }}$

7 0

2 years ago

Use differentials to estimate the amount of metal in a closed cylindrical can that is 26 cm high and 10 cm in diameter if the me

Afina-wow [57]

Answer:

The estimated amount of metal in the can is 87.96 cubic cm

Step-by-step explanation:

We can find the differential of volume from the volume of a cylinder equation given by

$V= \pi r^2 h$

Thus that way we will find the amount of metal that makes up the can.

Finding the differential.

A small change in volume is given by:

$dV =\cfrac{\partial V}{\partial h} dh + \cfrac{\partial V}{\partial r} dr$

So finding the partial derivatives we get

$dV =\pi r^2 dh + \pi 2r h dr$

$dV =\pi r^2 dh + 2\pi r h dr$

Evaluating the differential at the given information.

The height of the can is h = 26 cm, the diameter is 10 cm, which means the radius is half of it, that is r = 5 cm.

On the other hand the thickness of the side is 0.05 cm that represents dr = 0.05 cm, and the thickness on both top and bottom is 0.3 cm, thus dh = 0.3 cm +0.3 cm which give us 0.6 cm.

Replacing all those values on the differential we get

$dV =\pi 5^2 (0.6) + 2\pi (5) (26) (0.05)$

That give us

$V= 28 \pi \, cm^3$

Or in decimal value

$\boxed{dV= 87.96 \, cm^3}$

Thus the volume of metal in the can is 87.96 cubic cm.

6 0

3 years ago