Here are the types of sandwiches sold in a cafe last week.
Sandwiches
Tuna
Cheese
Chicken
Egg
56 tuna sandwiches were sold.
This was 40% of the total number of sandwiches sold.
(a) Work out the total number of sandwiches sold.

Answer:

f(x) = ax + b, where a and b are real numbers.

Answer:

45°

Step-by-step explanation:

complementary angles add up to 90° so it's 90-45

Total number of tickets sold = 250

Number of prizes = 5

Number of favorable outcomes = 5

[tex]P(A)= \frac{no. of possible outcomes}{No. of total outcomes} [/tex]

[tex]P (getting \: a \: prize) = \frac{5}{250} =\frac{1}{150}[/tex]

Answer:

11 Students

Step-by-step explanation:

It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a little confusing, but i think its a fake quiz that asks for your pledge so you put true, and integrity: the quality of being honest and having strong moral principles; moral uprightness

Step-by-step explanation:

Answer:

step 1,×+8=_2

step2,×=_2_8

step3,×=_10

{13, 13, 13, 15, 15, 16, 16, 17, 17}

the median is 15

Answer:

it is 15.

Step-by-step explanation:

the median is the middle number in the data set. in this case, 15 is in the middle.

[tex]f(x)=\cfrac{x^2+x-42}{x^2+3x-28}\implies \stackrel{f(x)}{0}=\cfrac{x^2+x-42}{x^2+3x-28}\implies 0 = x^2+x-42 \\\\\\ 0=(x+7)(x-6)\implies x= \begin{cases} 6\\ -7 \end{cases}[/tex]

Answer:

parallelogram

Step-by-step explanation:

opposite sides are congruent so this meets the minimum requirement to be a parallelogram.

Answer:

-4y - 24 + 2y²

Step-by-step explanation:

1. Simplify the distributive properties

⇒ 3(2y - 8) - 2y(5 - y)

⇒ 6y - 24 - 10y + 2y²

2. Combine like terms

⇒ 6y - 24 - 10y + 2y²

⇒ y(6 - 10) - 24 + 2y²

3. Simplify the expression

⇒ y(6 - 10) - 24 + 2y²

⇒ -4y - 24 + 2y²

Answer:

○ [tex]\displaystyle -\frac{3}{4}\:houses\:per\:day[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-8 + 2}{-2 + 10} = m \hookrightarrow \frac{-6}{8} = m \\ \\ \boxed{-\frac{3}{4} = m}[/tex]

I am joyous to assist you at any time.

The loss in producer surplus as a result of the tax given the information in the diagram is  $9000.

Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product

The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax

Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)

12000  - 3000 = $9000

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Step-by-step explanation:

let the cost of the bench = x

the cost of the garden table = x + 82

x + (x + 82) = 668

2x + 82 = 668

2x = 586

x = 293

The bench costs $293 and the garden table costs 293 + 82 = $375

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Answer:

get a graphing caculator and type the numbers in the rectangle and see what you get

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

0.3(x-5)=7.2

multiply by 10

3(x-5)=72

divide by 3

[tex]x-5=\frac{72}{3} \\x-5=24\\x=24+5\\x=29[/tex]

Answer:

91 adult tickets

Step-by-step explanation:

Algebra is really useful here:

Let a = number of adult tickets sold and c = number of child tickets sold.

Thus, we can say that

a + c = 153 (number of tickets)

6.40c + 9.60a = 1270.4. (cost of all of the tickets)

Solving,

c = 153 - a

6.40(153 - a) + 9.60a = 1270.4

979.2 - 6.40a + 9.60a = 1270.4

3.20a = 291.2

a = 91

Answer:

[tex]\csc(u).sec(u)[/tex]

Step-by-step explanation:

[tex] \tan(u)+ \cot(u) \\ \\ = \frac{ \sin(u)}{ \cos(u)} + \frac{ \cos(u)}{ \sin(u)} \\ \\ = \frac{ { \sin}^{2} (u) + {\cos}^{2} (u)}{ \sin(u). \cos(u)} \\ \\ = \frac{1}{ \sin(u). \cos(u)} \\ ( \because \: { \sin}^{2} ( \theta) + {\cos}^{2} ( \theta) = 1) \\ \\ = \frac{1}{\sin(u)} \times \frac{1}{\cos(u)} \\ \\ = \csc(u).sec(u) \\ \\ \implies \: \purple{ \bold{ \tan(u)+ \cot(u) = \csc(u).sec(u)}}[/tex]

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

(Sin²u + Cos²u) = 1

The final expression of the trigonometric expression tan(u) + cot(u) is

Cosec(u) x Sec(u)

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Tan (u) + Cot (u)

We know that,

Tan x = sin x / cos x

Cot x = cos x / sin x

Now,

Tan (u) + Cot (u)

= {Sin (u) / Cos (u) + Cos (u)}/ Sin (u)

Simplify by forming into a fraction.

= (Sin²u + Cos²u) / Sin(u)Cos(u)

[ sin² + cos² = 1 ]

So,

(Sin²u + Cos²u) = 1

= 1 / Sin(u)Cos(u)

= 1/Sin(u) x 1/Cos(u)

= Cosec(u) x Sec(u)

Thus,

The final expression of the trigonometric expression tan(u) + cot(u) is

Cosec(u) x Sec(u)

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The Amount in tip was first computed which is $68.58 per day, in five days, Willow will earn $342.90 in tips

Given Data

Let us find the amount of tip earned per day

Amount in tip = 18/100*381.00

Amount in tip = 0.18*381.00

Amount in tip = 68.58

Hence, for five days, her tip will be

= 68.58*5

= $342.90

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Answer:

If you don't understand handwriting

then comment ok

Answer:

I'm stuck on the same question

Step-by-step explanation:

Answer:

y = x - 8

Step-by-step explanation:

y = x - 8

Check your answer using (0, -8):

y = x - 8

-8 = 0 - 8

-8 = -8

This statement is true

Also, view the attached graph.

Hope this helps!

Answer:

33ft

Step-by-step explanation:

1. Work out the missing length.

2.10-3=7 so it is 7.

10+5+8+3+7=33ft

Answer:

g(x) is the translation of f(x) 2 units to the left and 4 units down

#a

#b

That be x and y

So

So

from eq(1)

Put in second one

Put in third one

Take it positive

Answer:

(a) (i)  Factorize [tex]\sf 4p-6pq+9q-6[/tex]

Rewrite by swapping the order of the first two terms:

⇒ -6pq + 4p + 9q - 6

Factorize the first two terms and the last two terms separately:

⇒ -2p(3q - 2) + 3(3q - 2)

Factor out the common term (3q - 2):

⇒ (3q - 2)(-2p + 3)

(ii)

Square of the binomial: [tex](a+b)^2=a^2+2ab+b^2[/tex]

Rewrite [tex]9.9[/tex] as [tex]10 - 0.1[/tex]

Therefore, [tex]a = 10[/tex] and [tex]b = -0.1[/tex]

Also, remember that multiplying a number by 0.1 is the same as dividing it by 10.  (when dividing a decimal number by 10, simply move the decimal point 1 place to the left).

[tex]\begin{aligned}\implies 9.9^2 & =(10-0.1)^2\\ & =10^2-2 \cdot 10 \cdot 0.1+0.1^2\\& = 100-\dfrac{2 \cdot 10}{10}+\dfrac{0.1}{10}\\& =100-2+0.01\\ & =98 + 0.01\\ & = 98.01\end{aligned}[/tex]

(b) (i)

Let x = number of motor bicycles

Let y = number of cars

Given:

⇒ x + y = 15

Given:

⇒ 2x + 4y = 64

(ii)  Rewrite   x + y = 15  to make x the subject:

⇒ x = 15 - y

Substitute into 2x + 4y = 64  and solve for y:

⇒ 2(15 - y) + 4y = 64

⇒ 30 - 2y + 4y = 64

⇒ 30 + 2y = 64

⇒ 2y = 34

⇒ y = 17 cars

Substitute found value of y into  x = 15 - y  to find x:

⇒ x = 15 - 17 = -2 motorbikes

**There must be an error in the question, as with the given information, the number of motorbikes is -2, which is impossible.**

Here are the possible combinations of number of motorbikes (M) and number of cars (C) whose sum of tires is 64.  As you can see, there is no combination that sums to 15 vehicles:

0 M +  16 C = 16 vehicles

2 M +  15 C = 17 vehicles

4 M +  14 C = 18 vehicles

6 M +  13 C = 19 vehicles

8 M +  12 C = 20 vehicles

10 M +  11 C = 21 vehicles

12 M +  10 C = 22 vehicles

14 M +  9 C = 23 vehicles

16 M +  8 C = 24 vehicles

18 M +  7 C = 25 vehicles

20 M +  6 C = 26 vehicles

22 M +  5 C = 27 vehicles

24 M +  4 C = 28 vehicles

26 M +  3 C = 29 vehicles

28 M +  2 C = 30 vehicles

30 M +  1 C = 31 vehicles

32 M +  0 C = 32 vehicles

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Standard equation of circle ~

[tex]\qquad \sf  \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where,

Now, let's plug in the values ~

[tex]\qquad \sf  \dashrightarrow \:(x - (5)) {}^{2} + (y - ( - 8)) {}^{2} = {2}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + 5) {}^{2} + (y + 8) {}^{2} = {4}^{} [/tex]

Therefore, the correct choice is B

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

The equation of the circle with a center of (4,5) and a radius of 2 units is (x + 5)² +(y + 8)² = 4

The center of the circle is given as:

Center (a,b) = (-5, -8)

The radius is given as:

Radius, r = 2

The equation of the circle is calculated using:

(x - a)² + (y - b)² = r²

Substitute values for r and (a,b)

(x + 5)² +(y + 8)² = 2²

Evaluate the square of 2

(x + 5)² +(y + 8)² = 4

Hence, the equation of the circle is (x + 5)² +(y + 8)² = 4

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Answer:

Hi there!

40 ÷ 40 = 1

120 ÷ 40 = 3