Estimate a 15% tip on a dinner bill of $87.33 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer 1

Answer: There would be a 13 dollar tip if you round it. If you didn't it would be 13.05.

First you would turn the percent into a decimal. You would do this by moving the decimal place to the left 2 places. Then, multiply that by your amount.

Answer 2

Answer: so when ever you have a percentage you would want to multiply in this case so 87.33 times .15 would be to two nearest ten dollars is 13 dollars

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Which fraction is greater 2/3 or 4/5

Sofia learned 10 recipes to create party dishes. She learned these recipes in two weeks. How many recipes can Sofia learn in 5 weeks ?

Answers

If she learned 10 in two weeks, that means she learns an average of 5 per week, that means in 5 weeks all you have to do is multiply by 5, the answer is 25 recipes.

10 recipes/2 weeks = 5 recipes/1 week
x recipes/5 weeks Multiply, answer is
25 recipes.

The rise and span for a roof are shown. The pitch of a roof is the ratio of the rise to the half-span. If the rise is 8 feet and the span is 30 feet, what is the pitch in simplest form?

Answers

Half-span is half of span. Pitch of the roof is calculated as rise/(span/2). In this case, rise is 8 feet and span is 30 feet. So, the pitch can be calculated as 8/(30/2) or 8/15. Pitch is normally represented as the number of inches of rise per foot. So, to reduce 8/15 to match a foot, we multiply it by 12. So, (8/15) * 12 gives us 6.4 inches of rise per foot.

The pitch or slope of a roof is defined as the ration of rise and half of the span. In equation we can write:

$Pitch=(Rise)/(Half-span)$

Half-Span equals the run. So we can define the Pitch as:

$Pitch = (Rise)/(Run)$

Rise = 8 feet

Run = Half of span = 15 feet

Using the values in the above formula, we get:

$Pitch = (8)/(15)$

Therefore, the pitch (or slope) of the roof in simplest form is 8/15

Pitch is normally defined as the vertical rise of a roof for ever 12 feet increase in its horizontal run. The above fraction shows the vertical rise is 8/15 for each 1 feet increase in the horizontal run. So if we simply multiply the the above fraction by 12, we will get the pitch in standard units.

So,

Pitch = 8/15 x 12 = 6.4

Therefore, the pitch of the roof will be 6.4

I need help is it A B C or D

Answers

b because when you add .3 to 5 you get 5.3 and when you ad .3 to 5.3 you get 5.6 and so on

the answer is D it goes up by .3

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Marla had a piece of felt that is 1/3 of a large circle. She cuts the piece of felt in half from the center point of the circle.What is the angle measure of each part?

Answers

It would be 60 dgrees since half of 1/3 is 1/6 and a circle is 360 degrees so do 360/6 to get 60 degrees.

The n term of a geometric sequence is denoted by Tn and the sum of the first n terms is denoted by Sn.Given T6-T4=5/2 and S5-S3=5.Calculate (a)the common ratio. (b)the first term of this geometric sequence

Answers

1 step: $S_(5)=T_(1)+T_(2)+T_(3)+T_(4)+T_(5)$ , $S_(3)=T_(1)+T_(2)+T_(3)$ , then
$S_(5)-S_(3)=T_(4)+T_(5)=5$ .

2 step: $T_(n)=T_(1)*q^(n-1)$ , then
$T_(6)=T_(1)*q^(5)$
$T_(5)=T_(1)*q^(4)$
$T_(4)=T_(1)*q^(3)$
$T_(3)=T_(1)*q^(2)$
and $\left \{ {{T_(6)-T_(4)= (5)/(2) } \atop {T_(5)+T_(4)=5}} \right.$ will have form $\left \{ {{T_1*q^(5)-T_(1)*q^(3)= (5)/(2) } \atop {T_(1)*q^(4)+T_(1)*q^(3)=5} \right.$ .

3 step: Solve this system $\left \{ {{T_1*q^(3)*(q^(2)-1)= (5)/(2) } \atop {T_(1)*q^(3)*(q+1)=5} \right.$ and dividing first equation on second we obtain $(q^(2)-1)/(q+1)= ( (5)/(2) )/(5)$ . So, $((q-1)(q+1))/(q+1) = (1)/(2)$ and $q-1= (1)/(2)$ , $q= (3)/(2)$ - the common ratio.

4 step: Insert $q= (3)/(2)$ into equation $T_(1)*q^(3)*(q+1)=5$ and obtain $T_(1)* (27)/(8)*( (3)/(2)+1 ) =5$ , from where $T_(1)= (16)/(27)$ .

Which ones greater 3/4 or 11/16

Answers

Multiply 3/4 (top to bottom) by 4:
$(3)/(4)$ = $(12)/(16)$

$(12)/(16)$ > $(11)/(16)$

So, the answer is: 3/4 > 12/16

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An object has a velocity of 8 m/s and a kinetic energy of 480 J. What is the mass of the object? Formula=1/2mv^2 a(7.5 b(15 kg c(60 kg d(120 kgnevermind i found the answer its (15 kg) because to solve for m its m= K2/v squared