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Answer: $79.12

Step-by-step explanation:

[tex]$$5 peopleeach order is worth \$12.80$$\begin{aligned}\therefore \text { Total bill } &=12.80 \times 5 \\&=64 \$\end{aligned}$$[/tex]

[tex]${Tax}: 7.5 \%$$\therefore$ Bill after tax$$\begin{aligned}&=64\left(\frac{100+7.5}{100}\right) \\&=64(1.075) \\&\text{Bill \ with \ tax}=68.8 \$$\end{aligned}$$[/tex]

[tex]$$Gratuity$=15 \%$ of bill with tax$$\begin{aligned}\therefore \text { Gratuity} &=0.15 \times 68.8 \\&=10.32 \$\end{aligned}$$$\therefore$ Ended up paying a total of $=68.8+10.32$$$\ \ \ \ \ \ \ \ \ \ =\$79.12 $$[/tex]

Answer:

y=4x+19

Step-by-step explanation:

(-5,-1)

-1=4(-5)+b Multiply 4 and -5

-1=-20+b Add 20 to -1

19=b

b=19

Answer:

y = -2x + 10

Step-by-step explanation:

Answer:

1,5

Step-by-step explanation:

The translation can be seen in one line. You can see one going up by 5 and going to the right (not left as that would make it -1,5).

1/2 (1q) = 4

insert extra text here

Answer:

875 inches

Step-by-step explanation:

almost 73 feet!

Answer: 6 inches

Step-by-step explanation: the area of a rectangle is width times length, that is [tex]A = w.l[/tex]

In this case we have:

So to get the Lenght l we need to divide  [tex]l = \frac{A}{w}[/tex]

[tex]l = \frac{72}{12}[/tex]

[tex]l = 6[/tex]

Parallelogram

Area

S = ah

a = 5 in + 2 in = 7 in

h = 2 in

S = 7 in x 2 in = 14

Answer:

60°

Step-by-step explanation:

By inscribed angle theorem

[tex]m(\widehat{PR}) = 2m \angle PQR \\ \\ \implies \: m(\widehat{PR}) = 2(30 \degree) \\ \\ \implies \: m(\widehat{PR}) =60 \degree[/tex]

Answer:

Step-by-step explanation:

a) The second equation is

b) The graph of both equations is attached

The intersection point of the lines is (100, 150)

It indicates 100 calendars and 150 posters to be donated to meet both of targets $600 and 250 items.

Answer:

Given equation:

[tex]3c+2p=600[/tex]

where:

If the company donating the calendars and posters said they would provide a total of 250 items then:

[tex]c+p=250[/tex]

To graph:

[tex]3c+2p=600 \implies p=300-\dfrac{3}{2}c[/tex]

[tex]\textsf{x-intercept}: \quad 300-\dfrac{3}{2}c=0 \implies c=200 \implies (200,0)[/tex]

[tex]\textsf{y-intercept}: \quad 300-\dfrac{3}{2}(0)=300 \implies (0,300)[/tex]

[tex]c+p=250 \implies p=250-c[/tex]

[tex]\textsf{x-intercept}: \quad 250-c=0 \implies c=250 \implies (250,0)[/tex]

[tex]\textsf{y-intercept}: \quad 250-0=250 \implies (0,250)[/tex]

Point of intersection (equate equations):

[tex]\begin{aligned}300-\dfrac{3}{2}c &=250-c\\50 & =\dfrac{1}{2}c\\ c & =100\end{aligned}[/tex]

[tex]p=250-100=150[/tex]

[tex]\implies \left(100,150}\right)[/tex]

The point of intersection tells us that they need to sell 100 calendars and 150 posters to reach their goal of raising $600.  Therefore, the company needs to provide 100 calendars and 150 posters (or 250 items in the ratio of calendars to posters of 2 : 3).

The number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

Box plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The median of first test is 60 while the second test is 80. Thus, the difference is,

[tex]d=80-60\\d=20[/tex]

The student, who got at least 60 in first test, falls in the second half of the plot. Thus, the 50% of students got atleast 60% marks. In the retake test, all 100% student got at least 60 on test.

In the first test 1/4 are passed while in second test 3/4 students are passed and got the marks 65 or more than this, Thus the number of student pass more in this test,

[tex]n=(\dfrac{3}{4}-\dfrac{1}{2})\times 32\\n=8[/tex]

Thus, the number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

Learn more about the box and whiskers plot here;

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Answer:

If one month, it's 20.000%

then what of 12 months

>20,000×12= 240000% in a year.

The number of bags that they will need if each bag contains 500 cubic inches of confetti is 20,000

One bag contains 500 cubic inches of confetti.

Therefore,

1 bag = 500 inches³

The student need to fill 100 containers with the bag.

Each container can accomodates 100,000 cubic inches.

Therefore,

1 bag = 500 inches³

100,000inches³ = 1 container = 200 bags

Therefore,  

100 containers will contain 20, 000 bags of confetti.

learn more on volume here: https://brainly.com/question/10224096

Answer: I need a diagram to answer this correctly

Step-by-step explanation: I do not have what is needed in order to answer this question

Answer:

that is right because the bill is like a money service

Answer:

54=x

Step-by-step explanation:

2x+2=3x-52

this is because they are opposite alternating angles so now we can re arrange the equation.

54=x

Step-by-step explanation:

The both angles are vertically opposite angle so

[tex](2x + 2) = (3x - 52)[/tex]

By moving x on left side

[tex]2x - 3x = - 52 - 2[/tex]

So

[tex] - x = - 54[/tex]

Negative sign in both side are canceled so we got

[tex]x = 54[/tex]

Answer:

8.3

Step-by-step explanation:

8 square = 6 square + x square

square them

64 = 36 + x square

minus 64 with 36

64 - 36 = 28

cancel the square with square root

x square = 28

square root of 28 is 5.3

5.3 x 5.3 = 28.09

hope this helped you!

Answer:

x = 49

Step-by-step explanation:

Right angle so: 90 - 41 = x = 49

The question is an illustration of ratio, each person will get 1.67 pounds of ground beef

The given parameters are:

Ground beef = 5 pounds

People = 3 i.e. Fred, Janice and Ralph

The amount gotten by each person is:

Share = 5 pounds/3

Evaluate the quotient

Share = 1.67 pounds

Hence, each person will get 1.67 pounds of ground beef

Read more about ratios at:

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Answer:28

Step-by-step explanation:

complete the ratio 7:__ so that is equivalent to 1;4 the second number is missing 7;__. So compare the first numberof the two ratios 1:4 7:__ to get 7 from 1 multiply by 7, 4x7=28 this means 7:28 are equivalent to 1:4

Answer:

310 yd

Step-by-step explanation:

Perimeter = distance all the way around the outside of a 2D shape

Missing vertical length = 22 + 27 + 15 = 64

⇒ perimeter = 59 + 22 + 32 + 27 + 32 + 15 + 59 + (22 + 27 + 15)

                     = 59 + 22 + 32 + 27 + 32 + 15 + 59 + 64

                     = 310 yd

Break into three rectangles

Now total perimeter

Answer:

225

Step-by-step explanation:

125/5=25

25x4=100 men

100men:125women = 4:5

100+125=225 total

Answer:

All Real Numbers

Step-by-step explanation:

This is a linear function, so the domain is All Real Numbers, or (-∞, ∞). In other words, the all numbers on the x-axis are defined on the graph. We have no points where x is undefined or imaginary. Domain contains all real numbers.

Answer:

D

Step-by-step explanation:

you can see can graph intersects the y axis at -3 and it goes upward forever.So minimum for y is

-3 so it is -3<y<infinity.

Answer:

rounded to the nearest whole number = 166

Step-by-step explanation:

Add all of the angles together, to get 39x. In a hexagon, all the angles add up to 720. Divide 720 by 39 to get x, then multiply x by 9, as that is the largest angle to get an answer rounded to the nearest whole number of 166.

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Answer:

y=-5x+12

Step-by-step explanation:

just use a graphing calculator and basic knowledge of slope intercept form

[tex](4^2)^4 = 4^{ (2 \times 4)} = 4^8 = 65536[/tex]

[tex]\Large\text{65,536}[/tex]

In order to simplify this expression , we have to multiply the powers (notice that we have a power to a power)

Simplify as follows :

(4²)⁴ = 4⁽²ˣ⁴)=4⁸

4 times itself 8 times simplifies to :

[tex]\footnotesize\text{hope\:helpful~}[/tex]

The base is 5 units and the height is 9 units.

Base:

-4 to 1

=====

1 -(-4)

5 units

Height:

-1 to 8

=====

8 -(-1)

8 + 1

9 units

Answer:

-56

Step-by-step explanation:

Formula to get determinant is::

[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc[/tex]

0(0)-8(7)

0 - 56

-56

[tex]\\ \rm\Rrightarrow \left|\begin{array}{ccc}0 &8 \\ 7& 0\end{array}\right|[/tex]

[tex]\\ \rm\Rrightarrow 0-8(7)[/tex]

[tex]\\ \rm\Rrightarrow 0-56[/tex]

[tex]\\ \rm\Rrightarrow -56[/tex]