Joshua has a stored value card with $100
to buy food at a seafood restaurant. If he
orders 1 kg of chilli crab and 4 tiger prawns,
there will be $12 left in the value of the card.
If he orders 2 kg of chilli crab and 2 tiger
prawns, he needs to pay $28 more. How
much is left in the card or how much will he
need to pay if he orders 1.5 kg of chilli crab
and 2 tiger prawns?

Step-by-step explanation:

use cos since we're given the adjacent and asked to find the hypothenus.

cos 33° = 6/x

cross multiply

xcos33° = 6

divide both sides by cos 33°

(cos 33 is approximately 0.8387)

then x = 7.15

Answer:

[tex]x \approx 7.2[/tex]

Step-by-step explanation:

The given triangle is a right triangle this is indicated by the box around one of its angles, signifying that the angle is a right angle. One of the properties of a right triangle is the right angle trigonometric ratios. these are a series of ratios that relate the sides and angles of a right triangle. Such ratios are as follows:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the sides named ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) Are subjective and change based on the angle by which one refers to. However the side ([tex]hypotenuse[/tex]) indicates the side opposite the right angle, this side does not change its name.

In this case, one is given a (33) degree angle, and the measure of the side adjacent to is, (6). One is asked to find the measure of the hypotenuse (x). It would be most logical to use the ratio of cosine (cos). Substitute the given values in and solve for (x).

[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

[tex]cos(33)=\frac{6}{hypotenuse}[/tex]

Inverse operations,

[tex]cos(33)=\frac{6}{hypotenuse}[/tex]

[tex]hypotenuse=\frac{6}{cos(33)}[/tex]

[tex]hypotenuse \approx 7.15[/tex]

Answer:

answer is 2

Step-by-step explanation:

answer is 2…………………………………

Answer:

linear. Each week adds another 10 dollars.

Step-by-step explanation:

Total = 340 +  10*w

w is the weekly amount

Suppose 5 weeks pass

Then the total amount in her bank account is

Total = 340 + 10*5

Total = 340 + 50

Total = 390

The equation is Linear.

Answer:

Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.

Step-by-step explanation:

Answer:

-93

Step-by-step explanation:

This is just.a matter of using a couple of integration rules and plugging in then using order of operations.

Difference rule and constant multiple rule will be used here.

3(-17)-7(6)

-51-42

-93

Answer:

[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]

General Formulas and Concepts:

Calculus

Integration

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = -17[/tex]

[tex]\displaystyle \int\limits^6_4 {g(x)} \, dx = 6[/tex]

[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx[/tex]

Step 2: Integrate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

120

Step-by-step explanation:

white : blue : green

5        :4          :1

48 are blue

48/4 = 12

Multiply each by 12

white : blue : green

5*12   4*12     1*12

60        48        12

Add the numbers together to get the total

60+48+12

120

Answer:

It's answer is 200 cents bun not sure

Answer:

22222222222221977777777777778

Step-by-step explanation:

I hope it is clear for you. please rate brainliest

Answer: 2.22222222E+28

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

Answer:

PT = 16.3 units

Step-by-step explanation:

From the picture attached,

From ΔPQR and ΔPST,

QR ║ST [Given]

PQ is a transversal line.

Therefore, ∠PST ≅ ∠PQR [Corresponding angles]

∠P ≅ ∠P [Common angle]

ΔPQR ~ ΔPST [By AA property of similarity of two triangles]

Therefore, by the property of similarity, corresponding sides of the similar triangles will be proportional.

[tex]\frac{PQ}{PS}=\frac{PR}{PT}[/tex]

[tex]\frac{12+28}{28}= \frac{PT+7}{PT}[/tex]

[tex]\frac{40}{28}=1+\frac{7}{PT}[/tex]

[tex]\frac{10}{7}-1=\frac{7}{PT}[/tex]

[tex]\frac{10-7}{7}=\frac{7}{PT}[/tex]

PT = [tex]\frac{49}{3}[/tex]

PT = 16.3 units

Answer:

[tex](\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]

Step-by-step explanation:

[tex]a=4-\sqrt{15}[/tex]

[tex]a^{4} +\frac{1}{a^{4} }\\=a^{2^{2} } +\frac{1}{a^{2^{2} } }\\\\=(x^{2} +\frac{1}{a^{2} } )^{2} -2a^{2} \frac{1}{a^{2} } \\=(a +\frac{1}{a } )^{2} -2a \frac{1}{a}-2\\=(4-\sqrt{15} +\frac{1}{4-\sqrt{15} }) ^{2} -4\\\=(\frac{16-15-4+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\=(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]

Answer:

Step-by-step explanation:

It should be:

Answer:

-2

Step-by-step explanation:

Substitute -8 in place of x and you get (-8+2)/3 or -6/3 which is -2

Answer:

g(- 8) = - 2

Step-by-step explanation:

To find g(- 8) substitute x = - 8 into g(x) , that is

g(- 8) = [tex]\frac{-8+2}{3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

Answer:

17.5

Step-by-step explanation:

all the 10 numbers added together equal 10*16 = 160

-this is because all of the numbers added, and then divided by 10 equals 16

so the numbers in total, added equal 160.

subtract 20 (7+13) from 160 = 140

divide by 8

140/8 = 17.5

Step-by-step explanation:

1) 250 n(tnc)

2) 100

this your answer

Answer:

D

Step-by-step explanation:

the Negative sign in front of 2 shows the function is decreasing

Answer:

937

425

Step-by-step explanation:

9 is the square of 3

7 is 1 more than 6, the double of 3

4 is the square of 2

5 is 1 more than 4, 2x 2

Is there more?

Answer:

425

Step-by-step explanation:

1st = 2^2

3rd = 2*2 + 1

Complete question :

At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?

Answer:

33 children ticket

Step-by-step explanation:

Let :

Number of Child admission = x

Number of Adult admission = y

On Wednesday ;

y = 3x

9.80y + 6.30x = 1178.10

9.80(3x) + 6.30x = 1178.10

29.40x + 6.30x = 1178.10

35.70x = 1178.10

x = 1178.10 / 35.70

x = 33

Answer:

m is √2

Step-by-step explanation:

[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]

Answer:

X=48degrees.

Step-by-step explanation:

Sum of all angle of traingle=180degrees.

So, 90+42+X=180

132+X=180

X=180-132=48degrees

Answer:

B

Step-by-step explanation:

3 x 10 ^17

Which is B

edit: So when doing scientific notation, you just divide the important first number of 9.3 or whatever by 3.1 like normal.

Then, when doing exponents, heres a rule of thumb.

When adding exponents, the base must be the same.

9.3 ^ 100  +  9.3 ^ 3  =  9.3 ^103

9.3 ^ 29 + 4.4 ^ 54 = cannot be solved

When subtracting exponents, the same rule applies as adding, the bases must be the same, otherwise, you just subtract or add like normal.

When dividing exponents, you just subtract exponents. The bases must be the same though of course.

3 ^ 30

----------

3 ^ 20

====  3 ^ 10

When multiplying exponents, you add exponents like normal. Bases are the same ect.

4 ^ 49    x    4 ^ 2   =   4 ^ 51

When doing scientific notation, the same rule applies.

The 10 is the base, so in your case, you divide the 9.3 and 3.1 like normal to get 3.

The exponent by the 10 is subtracted to get 17 since 34 - 17 = 17.

Answer:

8

Step-by-step explanation:

(3+5)^2/8=(8)^2/8=64/8=8

Answer: 8

Step-by-step explanation:

(3+5)^2/8=

(8)^2/8=

64/8=

8

Answer:

Hello,

Step-by-step explanation:

The volume of the tank is V, p is number of pipes, t the time, k as constant.

V=k*p*t

V=k*10*16 ==> k=V/160

V=k*8*t

V=V/160*8*t ==>1=8/160*t ==> t=160/8=20

Time to use: 20 min.

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

Answer:

um 1/4

Step-by-step explanation:

Answer: A = 833.66 in^2

Step-by-step explanation:

Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2

Height of the cylinder = 12 in

Circumference of the base = (2)(pi)(r) = 44in

Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2

Answer:

1. Line segment 2. Point 3. Line 4. Line Segment

Answer:

2·v - (u + w) = (5, 0, -10)

Step-by-step explanation:

The given values of the vectors are;

u = (2, -1, 3), v = (4, 0, -2), and w = (1, 1, 3)

The required vector is 2·v - (u + w)

2 × v = 2 × (4, 0, -2) = (8, 0, -4)

(u + w) = (2, -1, 3) + (1, 1, 3) = (3, 0, 6)

Therefore;

2·v - (u + w) = (8, 0, -4) - (3, 0, 6) = (5, 0, -10)

2·v - (u + w) = (5, 0, -10)

Answer:

0.86603 is the answer of the question

Answer:

x = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Using the rule of exponents

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

Given

64[tex]x^{\frac{1}{2} }[/tex] = 27[tex]x^{-\frac{5}{2} }[/tex] ( divide both sides by [tex]x^{-\frac{5}{2} }[/tex] )

64 × [tex]\frac{x^{\frac{1}{2} } }{x^{-\frac{5}{2} } }[/tex] = 27

64 × [tex]x^{\frac{1}{2}-(-\frac{5}{2}) }[/tex] = 27

64 × [tex]x^{\frac{1}{2}+\frac{5}{2} }[/tex] = 27

64 x³ = 27 ( divide both sides by 64 )

x³ = [tex]\frac{27}{64}[/tex] ( take the cube root of both sides )

x = [tex]\sqrt[3]{\frac{27}{64} }[/tex] = [tex]\frac{\sqrt[3]{27} }{\sqrt[3]{64} }[/tex] = [tex]\frac{3}{4}[/tex]

Answer:  (-1, -2)

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

Explanation:

Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.

Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)

In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)

See the diagram below.

Answer:

[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]

Step-by-step explanation: