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dexar [7]
3 years ago
6

Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid

$20.70. Find the percent tip.
Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Answer:

2.70$

Step-by-step explanation:

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Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.Explain ho
postnew [5]

Step-by-step explanation:

Because the ratio of length:width is..

15:10 for b

and

30:15 for c.

Now we will divide..

3:2 for b

and

2:1 for c.

Those are NOT the same things!

7 0
3 years ago
In how many ways can a subcommittee of 6 students be chosen from a committee which consists of 10 senior members and 12 junior m
givi [52]

Answer:

The number of ways is 13860 ways

Step-by-step explanation:

Given

Senior Members = 10

Junior Members = 12

Required

Number of ways of selecting 6 students students

The question lay emphasis on the keyword selection; this implies combination

From the question, we understand that

<em>4 students are to be selected from senior members while 2 from junior members;</em>

The number of ways is calculated as thus;

<em>Ways = Ways of Selecting Senior Members * Ways of Selecting Junior Members</em>

<em />Ways = ^{10}C_4 * ^{12}C2

Ways = \frac{10!}{(10-4)!4!)} * \frac{12!}{(12-2)!2!)}

Ways = \frac{10!}{(6)!4!)} * \frac{12!}{(10)!2!)}

Ways = \frac{10 * 9 * 8 * 7 *6!}{(6! * 4*3*2*1)} * \frac{12*11*10!}{(10!*2*1)}

Ways = \frac{10 * 9 * 8 * 7}{4*3*2*1} * \frac{12*11}{2*1}

Ways = \frac{5040}{24} * \frac{132}{2}

Ways = 210 * 66

Ways = 13860

<em>Hence, the number of ways is 13860 ways</em>

7 0
3 years ago
What is the quadratic in vertex form that has an a value of 8 and a vertex of (5, 6)?
faltersainse [42]

Answer:

y= 8(x-5)² + 6

Step-by-step explanation:

Parabolas have two equation forms, namely; the standard and vertex form.

In the vertex form, y = a(x - h)² + k, the variables h and k are the coordinates of the parabola's vertex.

In this case; a=8, h =5, and k=6

Therefore;

The vertex equation will be

y= 8(x-5)² + 6

8 0
3 years ago
Read 2 more answers
What is the distance between (3, 5.25) and (3, –8.75)? 6 units 8.25 units 11.75 units 14 units
evablogger [386]
By using distance formula :


\text{Distance formula,}  \bold{  \boxed{ Distance = \sqrt{( x_{2} -x_{1})^{2}+(y_{2} -   y_{1})^{2}) }}}





Given points = ( 3 , 5.25 ) and ( 3 , - 8.75 )


\bold{Taking \:  \:  \:  x_{1}=3 \:   \: , \: \:   x_{2}= 3  \:  \: , \:   \:  y_{1}= 5.25 \:   \: ,  \:  \: y_{2}= -8.75}




On applying formula, we get


Distance = \sqrt{ ( x_{2}-x_{1})^{2}+(y_{2}-y_{1})^2} \\  \\  \\ Distance = \sqrt{ ( 3 - 3 )^{2} + ( - 8.75 - 5.25 )^{2}}  \\ \\ \\ Distance = \sqrt{ ( 0 )^{2}  + ( - 14)^{2}}  \\ \\ \\ Distance = \sqrt{ ( - 14 )^{2}} \\ \\ \\ Distance = \sqrt{ 14^{2}} \:\:\:\:\:\:\:\:\:\:\: \:  \:  \:  \:  \:  \:  \:  \:  | \bold{ ( - 14 )^{2} = 14^{2}}  \\  \\  \\ Distance =  {14}^{2 \times  \frac{1}{2} }  \\  \\  \\  Distance =  {14}^{1}  \\  \\  \\  Distance = 14 \: units








Hence, Option D is correct.
4 0
3 years ago
Read 2 more answers
Lcm of 4 , 8 , 12???
cricket20 [7]
These are insanely easy if you use google!!!
6 0
3 years ago
Read 2 more answers
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