Luz’ family went out to breakfast on Saturday. The bill was $38.50 and the family wanted to leave a 20 percent tip for the server. Below is Luz’s calculation.
$38.50(0.02) = $0.77
Did Luz calculate the gratuity correctly?

Answer:

y= -1/4x+ 3.75

Step-by-step explanation:

Answer:

option 4

Step-by-step explanation:

f(x) = 5x + 40

f(x = - 5) = 5 ( - 5) + 40

            = -  25 + 40

             = 15

f(x) = 5x + 40

f(-5) = 5(-5) + 40

= 15

Ans: 15

Answer:

620

amount= p+i , to find interest .I=500*4*6/100 =120 amount=500+120=620

Answer:

the answer is 6803

Step-by-step explanation:

the first clock want to go next number and this number is 6 according to clockwise and second go 8 third go 0 and fourth go 3

Answer:

6803

Step-by-step explanation:

Answer:

(101/42, 19/14)

Step-by-step explanation:

Given the following equations

3x+5y=14 ..... 1 * 2

6x-4y=9 ... 2 * 1

__________________

6x+10y=28

6x-4y=9  

Subtract

10y+4y = 28 - 9

14y = 19

y = 19/14

Get the value of x

Since 3x+5y = 14

3x+5(19/14) = 14

3x + 95/14 = 14

3x = 14 - 95/14

3x = 101/14

42x = 101

x = 101/42

Hence the solution is (101/42, 19/14)

Answer:

[tex]2x - 35273 = 5361925 \\ 2x = 5361925 + 35273 \\ 2x = 5397198 \\ x = \frac{5397198}{2} \\ x = 2698599[/tex]

[tex]\displaystyle\ 2x-35273=5361925\\\\2x=53\underline{61925}+\underline{35273} \\\\2x=5397198\\\\\\x=\frac{5397198}{2} =2698599\\\\\underline{x=2698599\qquad }\\\\2\cdot 2698599-35273=5361925\\\\5397198-35273=5361925\\\\5361925=5361925[/tex]

Answer:

7/25 or .28

Step-by-step explanation:

sin=opp/hyp

7/25

Note: Consider the given equation is [tex]2(a+b)=8.1[/tex] instated of [tex]2(a+b)-8.1[/tex].

Given:

The expression [tex]2(a+b)=8.1[/tex] for certain values of a and b.

To find:

The value of [tex]3(a+b)[/tex] for the same value of a and b.

Solution:

We have,

[tex]2(a+b)=8.1[/tex]

Divide both sides by 2.

[tex](a+b)=\dfrac{8.1}{2}[/tex]

[tex](a+b)=4.05[/tex]

Multiply both sides by 3.

[tex]3(a+b)=3\times 4.05[/tex]

[tex]3(a+b)=12.15[/tex]

Therefore, the value of [tex]3(a+b)[/tex] is 12.15.

Answer:

1/36

Step-by-step explanation:

A standard die has 6 faces

The numbers 1 through 6 on singly on each face

so the probability of tossing a 1 would be;

1/6

The probability of tossing another 1 would still be same 1/6

So the probability of tossing a 1 and another 1 would be the product of the two tosses as follows;

1/6 * 1/6 = 1/36

Answer:

1) 11.75

2) 11.5

3) 11 and 14

4) 16.75

5) 13, and 16

Step-by-step explanation:

The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8

1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75

2) The data arranged in increasing order is presented as follows;

8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14

The count of he data points = 12

The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12  11)/2 = 11.5

The median = 11.5

3) The mode of the data set are 11 and 14

4) Where there are 5 more days per month that had a temperature above 40°C, we get;

The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5

5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;

8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2

10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16

Therefore, the mode are 13, and 16

Answer:

Step-by-step explanation:

Given identity is,

[tex]\text{tanA}=\pm\sqrt{\frac{1-\text{cos2A}}{1+\text{cos2A}}}[/tex]

To prove this identity, we will take left side of the identity,

[tex]\pm\sqrt{\frac{1-\text{cos2A}}{1+\text{cos2A}}}=\pm\sqrt{\frac{1-(1-2\text{sin}^2A)}{1+(2\text{cos}^2A-1)} }[/tex]

                  [tex]=\pm\sqrt{\frac{1-1+2\text{sin}^2A}{1+2\text{cos}^2A-1} }[/tex]

                  [tex]=\pm\sqrt{\frac{2\text{sin}^2A}{2\text{cos}^2A} }[/tex]

                  [tex]=\pm(\sqrt{\text{tan}^2A})[/tex]

                  [tex]=\text{tanA}[/tex] [Right side of the identity]

Hence, proved.

Answer:

Step-by-step explanation:

Exponent laws:

[tex](a^{m})^{n}=a^{m*n}\\\\a^{-m}=\frac{1}{a^{m}}[/tex]

[tex](t^{\frac{15}{27}}x^{9}})^{\frac{-2}{3}}= \ t^{\frac{15}{27}*\frac{-2}{3}}*x^{9*\frac{-2}{3}}\\\\\\= t^{\frac{5}{9}*\frac{-2}{3}}*x^{3*-2}\\\\=t^{\frac{-10}{27}}x^{-6}\\\\=\frac{1}{t^{\frac{10}{27}}x^{6}}[/tex]

Answer:

-1/7

Step-by-step explanation:

-3/2(x-2)=45/14

x-2=(45/14)/(-3/2)

x-2=(45/14)(-2/3)

x-2=-90/42

simplify -90/42 into -15/7

x-2=-15/7

x=-15/7+2

x=-15/7+14/7

x=-1/7

Answer:

[tex]y = 5x + 20[/tex]

Step-by-step explanation:

Given

[tex]m = 5[/tex] -- slope

[tex]c = 20[/tex] --- y intercept

Required

The table

No options are given. So, I will just work on the equation.

The linear equation of a function from the slope and the y intercept is:

[tex]y = mx + c\\[/tex]

Substitute values for m and c

[tex]y = 5x + 20[/tex]

Answer:

1096 more water

Step-by-step explanation:

Let;

x = the water used in general

but used 3 times of the original = 3x

3*(548) = 1644 water a day

How much more water =New - original

where:

new = 1644

original= 548

1644 - 548

=1096 more water

Answer:

The explicit formula of that sequence is T - 5

Step-by-step explanation:

Let T represent each term in the sequence. So now try replacing T with each term in the sequence. Like this ;

7 - 5 = 2

2 - 5 = -3

-3 - 5 = -8

hope this helps

Answer:

3m -2

Step-by-step explanation:

(10m – 6) – (7m – 4)

Distribute the minus sign

(10m – 6) – 7m + 4

Combine like terms

3m -2

Answer:

0.6944

Step-by-step explanation:

25/36 is 0.6944 in division

Answer:

25151/100000

Step-by-step explanation:

[tex]\displaystyle\bf Solve:8\times p=5,2 \$ => p=\frac{5,2}{8} =\frac{5,2:\boxed{8}}{8:\boxed{8}} =0,65\$\quad She \:unit\: cost\:is\:\underline{ 0,65} \\\\Check :\:8\times\underline{0,65} =5,2\$ \\\\0,65=0,65 \\\\\rightarrow The\: price\:per \:apple \:is \: 0,65 \$[/tex]

[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]

[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]

[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]

[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]

[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]

[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]

Answer:

The common difference is -4/3.

Step-by-step explanation:

Recall that the direct formula for an arithmetic sequence is given by:

[tex]\displaystyle x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

We are given that the first term a is 31.

We also know that the 28th term is -5. Hence, x₂₈ = -5. Substitute:

[tex]\displaystyle x_{28}=-5=(31)+d(28-1)[/tex]

Solve for d. Simplify:

[tex]-5=31+27d[/tex]

Thus:

[tex]\displaystyle 27d=-36[/tex]

Divide both sides by 27. Hence, the common difference is:

[tex]\displaystyle d=-\frac{36}{27}=-\frac{4}{3}[/tex]

Answer:

-4/3

Step-by-step explanation:

This question is equivalent to:

Find the slope of a line going through points (28,-5) and (1,31).

*Arithmetic sequences are linear. The common difference is the slope.

Any ways to find the slope line the points up and subtract vertically. Then put 2nd difference over 1st difference.

(28,-5)

(1,31)

---------subtracting

27, -36

So the slope or the common difference of this line or arithmetic sequence is -36/27. This reduces to -4/3.

Answer:  [tex]\frac{n-m}{n}[/tex]

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

==================================================

Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

[tex]1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\[/tex]

and now the expression is one single fraction.

Answer:

The value belonging to the green box is b

Step-by-step explanation:

QP uses the points Q and P

Q is (0,-a)

P is (b,-c)

The distance between the two points can be calculated using the distance formula;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (0,-a)

(x2,y2) = (b,-c)

D = √(b-0)^2 + (-c + a)^2

D = √(b)^2 + (-c + a)^2

Answer:

x = number of students tickets = 1,000

y = number of adults tickets = 250

Step-by-step explanation:

Let

x = number of students tickets

y = number of adults tickets

x + y = 1,250 (1)

2x + 3y = 2,750 (2)

Multiply (1) by 2

x + y = 1,250 (1) * 2

2x + 2y = 2,500 (3)

2x + 3y = 2,750 (2)

Subtract (3) from (2) to eliminate x

3y - 2y = 2,750 - 2,500

y = 250

Substitute y = 250 into (1)

x + y = 1,250

x + 250 = 1,250

x = 1,250 - 250

x = 1,000

x = number of students tickets = 1,000

y = number of adults tickets = 250

Answer:

Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

hope it helps.

Answer:Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

Step-by-step explanation:

Answer:

3/9

Step-by-step explanation:

P(G,G) = 1/3 × 1/3 = 1/9

P(B,B) = 1/9

P(Y,Y) = 1/9

P(same colour) 1/9 + 1/9 + 1/9 = 3/9

thank you, you too! :D