Sariya and Kate went to lunch and their total bill was $36.96. If they
left a 20% tip. How much would their total bill be?

Answer:

1) For [tex]a = 1[/tex]: [tex]b = 6[/tex] and [tex]k = 6[/tex], 2) For [tex]a = 3[/tex]: [tex]b = 4[/tex] and [tex]k = 12[/tex]

Step-by-step explanation:

The polynomial [tex]y = x^{2} - 7\cdot x + k[/tex] is a second-order polynomial of the form [tex](x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b[/tex]. By direct comparison, we construct the following system of equations:

[tex]a + b = 7[/tex] (1)

[tex]a\cdot b = k[/tex] (2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both [tex]a[/tex] and [tex]b[/tex] are integers. We assume two arbitrary integers for [tex]a[/tex]:

1) [tex]a = 1[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 6[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (6)\cdot (1)[/tex]

[tex]k = 6[/tex]

2) [tex]a = 3[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 4[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (3)\cdot (4)[/tex]

[tex]k = 12[/tex]

Answer:

v=432cm

sA=144cm

Step-by-step explanation:

1)))

v=w*d*h

v=3*9*16

v=432cm

2)))

sA=h*w

sA=16*9

sA=144cm

Answer:

V = 432 cm^3

SA = 438 cm^2

Step-by-step explanation:

The volume of a rectangular prism is represented by the formula:

V = lwh

Where V is the volume, l is the length, w is the width, and h is the height.

You can substitute the values given:

V = 3 * 9 * 16

V = 432 cm^3

The surface area of a rectangular prism can represented by the formula:

SA = 2(lw + wh + lh)

Where SA is the surface area, l is the length, w is the width, and h is the height. You can substitute the given values:

SA = 2(3 * 9 + 3 * 16 + 9 * 16)

SA = 2(27 + 48 + 144)

SA = 2(219)

SA = 438 cm^2

Answer:

100-16π ft2

Step-by-step explanation

Answer:

100-16π ft2

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Let c = sum of ages of all children.

mean age of all children = c/15 = 7

c = 15 * 7 = 105

The sum of the ages of all children is 105.

Let b = sum of ages of the 9 boys.

mean age of boys = b/9 = 5

b = 9 * 5 = 45

The sum of the ages of the boys is 45.

The sum of the ages of the girls is c - b.

c - b = 105 - 45 = 60

The number of girls is 15 - 9 = 6

mean age of girls = (sum of ages of the girls)/(number of girls) =

= 60/6 = 10

Answer: 1920 i think

Step-by-step explanation:

Answer:

[tex]Volume = 2 + 3+6[/tex]

Step-by-step explanation:

Given

[tex]Length = 2[/tex]

[tex]Width = 3[/tex]

[tex]Height = 6[/tex]

See attachment for box

Required

Which does not represent volume?

The volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

This gives:

[tex]Volume = 2 * 3 * 6[/tex] ---- (b) represents volume

Multiply 2 and 3

[tex]Volume = 6 * 6[/tex] ---- (d) represents volume

The above product can be converted to addition, as:

[tex]Volume = 6 + 6 + 6 + 6 + 6 + 6[/tex] ---- (a) represents volume

Hence:

[tex]Volume = 2 + 3+6[/tex] --- does npot represent volume

Answer:

4:7 and 4:49

Step-by-step explanation:

P=s+s+s

A=S×S

Answer:

256

Step-by-step explanation:

4 to the exponent of 4 = 256

Answer:

B

Step-by-step explanation:

use y=mx+c

follow the flow

Answer:

87.92in³

Step-by-step explanation:

Volume of cylinder formula:

[tex]V = \pi r^{2} h[/tex]

Plug in the values using 3.14 for pi:

V = 3.14(2)^2(7)

V = 87.92in³

Answer:

A. 36

Step-by-step explanation:

We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given

176 - 140 = 36

This is how we came to the answer:

We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.

While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny

Oliver's Interviewees

10-graders

Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

70% of 176 =

Cross multiply

123.2 were 10-graders interviewed by Oliver

9th-graders

Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

30% of 176 =

Cross multiply

52.8 were 9th-graders interviewed by Oliver

Jenny's Interviewees

9th-graders

Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;

75% of 140 =

Cross multiply

105 students were 9th-graders interviewed by Jenney.

10th-graders

Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;

25% of 140 =  

Cross multiply  

35 students were 10th-graders interviewed by Jenney.  

Total calculation

Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;

Oliver's 9th-grade = 52.8

Jenny's 9th-grade = 105

105 + 52.8 = 157.8

Oliver's 10th-grade = 123.2

Jenny's 10th-grade = 35

123.2 + 35 = 158.2

Total calculation: 158. 2 - 157.8 = 0.4

Therefore, there are 36 more 10th than 9th.

For more information, visit: brainly.com/question/23490909

Answer: 1200

Step-by-step explanation:

x is the number of boy

The number of boys is twice the number of girls: [tex]\frac{1}{2} x[/tex]

Total is 3600 students: x + [tex]\frac{1}{2}x[/tex]= 3600 → x = 2400

Therefore, the number of girls is: 2400/2= 1200

Answer: There are 2400 boys and 1200 girls

Step-by-step explanation:

x represents girls

2x represents boys

________________________

x+2x=3600

3x =3600

x=3600/3

x =1200

Number of girls = 1200

1200 * 2 = 2400

Answer:

C = 11

Step-by-step explanation:

90 - ( 8 + -6 ) = 88

88 / 8 = 11

:)

Answer:

B

Step-by-step explanation:

if he pays 2.70 more than he is supposed to and gets a bill that says -2.70 they took that money off his next bill

Answer:

the answer is b :To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.

Step-by-step explanation:

IM SO SORRY IF ITS WRONG

Answer:

y = -2/3x + 7/3

Step-by-step explanation:

y = -2/3x + b

3 = -2/3(-1) + b

3 = 2/3 + b

7/3 = b

Answer: you could problem look in help.k12

Step-by-step explanation:

Answer:

here on brainly it will answer you ask your question and it will answer it

C because the most shown value is 24

Answer:

[tex]a) A\simeq17204.28[/tex]

[tex]b) A\simeq29598.74[/tex]

[tex]c)A\simeq50922.51[/tex]

Step-by-step explanation:

The amount formula in compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $10000

[tex]r = 11\% = \frac{11\%}{100\%}=0.11[/tex]

n = 4 (quarterly in a year)

a ) t = 5 years

[tex]A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28[/tex]

b) t = 10 years

[tex]A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74[/tex]

c) t = 15 years

[tex]A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51[/tex]

Answer:

Solution given;

principal [p]=$10000

rate[r]=11%

time[t]= 5 years

we have

compound amount quarterly =P(1+r/400)^4t

=$10000(1+11/400)^4×5=$17204.28431

Answer:

x intercept: 15/8 and yintercerpt is 3/2

Step-by-step explanation:

to find y intercept you have to put equation in standard form.

10y=-8x+15

y=--4/5x+3/2

x intercept is when y=0, so we plug in 0

0=-4/5x+3/2

4/5x=3/2

x=15/8

Answer: 11k + 16 and 7k + 4k + 16

Step-by-step explanation: if we distribute the 4 first we get

7k+4k+16

we can aslo combine the k's to get

11k+16

hope this is helpful (^_^)

Answer:

960

Step-by-step explanation:

First of all we can find the volume of the whole box:

8×12×10=960

then find the area of the blocks:

1×1×1=1

Finally, we divide them to find how many fit in to the box:

960÷1=960

So 960 of the blocks will fit into the box.

Answer: 0.001

Step-by-step explanation:

Given

The lock has 3 dials, each with the number 0 through 9.

The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is  [tex]\frac{1}{10}[/tex]

Similarly for selecting '3' and '9' is also [tex]\frac{1}{10}[/tex]

Therefore the probability of getting a combination of 4-3-9 is

[tex]\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001[/tex]

Answer:

(0, 0)

Step-by-step explanation:

It's 0 minutes since the bath begun, the depth of the water is 0 inches. I know I already answer this, but just in case.

Answer:

I think it

[tex]X1 = 1.333\\X2 = 1\\\\[/tex]

Answer: 4√2

Step-by-step explanation:

The triangle is a special right triangle. Using this, you know that the legs of the triangle are 1 and 1 as the 45, 45, 90 triangle has the sides of 1, 1 and √2. That being said,

4 x 1 = 4 - This is one of your sides

4 x 1 = 4 - This is your other side.

4 x √2 = 4√2 = This your your hypotenuse or your x.

My teacher played me this song to help me remember 45, 45, 90 and 30, 60, 90 triangles. Look up "45 45 90 30 60 90 song" and look for the channel, "Scalar Learning"

I hope this answered your problem.