4. Arrange these lunch buyers from greatest to least assuming they buy lunch 5 days per week and there are four weeks in a month: Alice: $3 per day, Betty: $25 every two weeks, Cindy: $75 per month

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

now, going either way the boat travelled the same 18 miles.

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&18&b-c&4.5\\ Downstream&18&b+c&2 \end{array}\hspace{5em} \begin{cases} 18=(b-c)4.5\\\\ 18=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{18=(b-c)4.5}\implies \cfrac{18}{4.5}=b-c\implies 4=b-c\implies \boxed{4+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{18=[~(4+c)+c~]2}\implies \cfrac{18}{2}=4+2c\implies 9=4+2c \\\\\\ 5=2c\implies \blacksquare~~ \cfrac{5}{2}=c ~~\blacksquare\hspace{5em}4+\left( \cfrac{5}{2} \right)=b\implies \blacksquare~~ \cfrac{13}{2}=b ~~\blacksquare[/tex]

Answer:

you didn't give a picture bestie but it'll be kind of money U and it should be up 3 on the graph

Answer:

y = 12 mm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

Substitute the values above and solve for y:

2,016 = 14 × 12 × y

2,016 = 168y

2,016/168 = 1395v/168

12 = y

Final answer: 12 mm

Hope this helps!

Answer:

[tex]A = 256[/tex]

Step-by-step explanation:

Since the hexagon is regular, we know that all of the side lengths are equal. We can find the length of the sides by solving for [tex]l[/tex] in the formula for the area of a hexagon:

[tex]A = \frac{3\sqrt{3}}{2}l^2\\384\sqrt{3} = \frac{3\sqrt{3}}{2}l^2\\384 = \frac{3}{2}l^2\\256 = l^2\\16 = l[/tex]

Now that we have the side length, we can find the area of the square:

[tex]A = l^2\\A = 16^2\\A = 256[/tex]

Answer:

256 in²

Step-by-step explanation:

Area of a Hexagon (To find side length)

Area of square

3421880 number of the different meals are possible.

The arrangement of the different things or numbers in the number of the ways is called as the combination.

It is given that:-

Number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts.

So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre,

so the number of possible meals to this point is

n = 7  x  10 = 70

Finally, you finish off with a dessert, so the number of meals is:

n = 70 x 4 = 280

Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is

n = 77 x  1010 x  44 = 3421880

Therefore 3421880 different meals are possible.

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Answer:

[tex]2cm[/tex]

Step-by-step explanation:

Volume of a cone= [tex]\pi r^2\frac{h}{3}[/tex]

Substitute: [tex]37.68cm^3=\pi r^2(\frac{9}{3})[/tex]

[tex]37.68cm^3=\pi r^2(3)[/tex]

[tex]37.68cm^3=\pi r^2(3)[/tex] Divide by 3

[tex]12.56cm=\pi r^2[/tex] Divide by pi

[tex]4cm=r^2[/tex]

[tex]r=\sqrt{4}[/tex]

[tex]r=2[/tex]

Answer:

0.333333...

Step-by-step explanation:

2/6 = 1/3 = 0.33333...

You can divide on paper or on a calculator 2÷6 or 1÷3 to find this. If you are allowed to use a calculator and your calculator has F>D and D>F buttons they are for converting decimals and fractions back and forth. On paper, you are doing like a long division calculation. Put 2 inside the little dividing frame and put 6 on the outside. Or 1 inside and 3 outside. See image.

The steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

[tex]a_n=a_1r^{n-1}[/tex]

Here, a₁ is the first term of the sequence and r is the common ratio.

The fourth term and sixth term given in for the geometric sequence are 3 and 3/16. For the fourth term,

[tex]a_4=a_1r^{4-1}\\3=a_1r^3[/tex]             ...1

For the sixth term,

[tex]a_6=a_1r^{6-1}\\\dfrac{3}{16}=a_1r^5[/tex]           ....2

On solving, we get,  a₁=192 and r=1/4. Thus, the geometric sequence can be given as,

[tex]a_n=a_1r^{n-1}\\a_n=192\times\dfrac{1}{4}^{n-1}[/tex]

Hence, the steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.

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Answer:

First number = 20

Second number = 12

Explanation:

Let the 1st number be x

Let the 2nd number be y

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

Condition 1

[tex]\sf \rightarrow x + 7 + \dfrac{y}{6} = 29[/tex]

[tex]\rightarrow \sf x=-\dfrac{y}{6}+22[/tex]

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

Condition 2

[tex]\rightarrow \sf 2y - (x - 5) = 9[/tex]

[tex]\rightarrow \sf x = 2y -4[/tex]

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

Substitute equations

[tex]\rightarrow \sf -\dfrac{y}{6}+22 = 2y-4[/tex]

[tex]\rightarrow \sf y=12[/tex]

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

Find value of 1st number

[tex]\rightarrow \sf x = 2y - 4[/tex]

[tex]\sf \rightarrow x = 2(12) - 4[/tex]

[tex]\rightarrow \sf x = 20[/tex]

The value of y in the given question will be y = -2x  +  26.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The value of y will be calculated as:-

Given the equation :-

4y  -  2x  =  12

y =  x / 2 + 12

Now for two perpendicular lines, the product of the intercepts is -1

m₁  x  m₂  = -1

So the new intercept will be

m₂ = -1 / m₁ = -1 / 1 / 2 = -2

So new equation will be

y  =  -2x  +  c

2 = -2  x  12  +  c

c  =  26

So the equation will be:-

y =  -2x  +  26

Therefore the value of y in the given question will be y = -2x  +  26.

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Answer:

sorry this question is do not understand

The opposite side of the right angle triangle by using Tan.

[tex]tan \: 22 = \frac{x}{12} [/tex]

[tex]x = 12 \times tan \: 22[/tex]

[tex]x = 4.8 \: cm[/tex]

Therefore, the opposite side of the right angle triangle is 4.8 centimeters

x/12

x= 12*tan 22

x= 4.8 cm

hope this helps

Answer:

between 4 and 5

Step-by-step explanation:

consider perfect cubes either side of 81 , that is

64 < 81 < 125 , then

[tex]\sqrt[3]{64}[/tex] < [tex]\sqrt[3]{81}[/tex] < [tex]\sqrt[3]{125}[/tex] , that is

4 < [tex]\sqrt[3]{81}[/tex] < 5

Answer:

288.000567018 or [tex]3(32x^{3} +\frac{3.8}{126980})[/tex]

Step-by-step explanation:

hope this helps

pls mark brainliest

[tex]\bf Blue \ Color \ Line : y = x^2[/tex]

When added all together:

[tex]\bf Black \ color \ Line: y=-\left(x+2\right)^{2}-10[/tex]    =  Final answer.

Answer:

-81/-9

both minus will be cut so

81/9

9

Step-by-step explanation:

the answer is 9

Answer:

No there are 180 degrees on a line

Step-by-step explanation:

180

115-

065

65°

Answer:

f

Step-by-step explanation:

your welcome

Answer:

Step-by-step explanation:

45° Corresponds to (π÷4) which is a remarkable measure

We are all supposed to learn by heart the values of it’s ‘sin’ , ‘cos’ , ‘tan’ and ‘cot’ .

the same apply to 30° (corresponds to (π÷6))

……………………………………………………………

So without a calculator:

tan 45° = 1

cot 45° = 1

sin 30°​ = 1/2

therefore ,

tan 45°.sin 30° - cot45°​ = 1 × (1÷2) − 1 = (1÷2) − 1 = −(1÷2) = −0.5

Answer:

the rate of change from 4 to 8 is 4

Step-by-step explanation:

you can find this by subtracting the first number from the secone number and if the two numbers were in a diffrent order being 8 and 4 the answer would still be 4 because when you subtract 8 from 4 you ger-4 but with rate of change you always use the absolute value

hope this helped

Answer: 20.4

Step-by-step explanation:

Answer:

Your first answer is correct.

Second question: 300 ft.

Step-by-step explanation:

2nd problem, create a proportion.

[tex]\frac{220}{x}=\frac{305}{416} \\305x = 91520\\\frac{305x}{305}= \frac{91520}{305} \\x=300[/tex]

Answer:

the correct answer is C her puppy weighted 20 pounds

The root of the polynomial function f(x) = 3x⁵ - 2x² + 7x is 0

The polynomial function is given as:

f(x) = 3x⁵ - 2x² + 7x

Set the function to 0

3x⁵ - 2x² + 7x = 0

Factor out x

x(3x⁴ - 2x + 7) = 0

Divide both sides by (3x⁴ - 2x + 7)

x = 0

Hence, the root of the equation is 0

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Answer:

B

Step-by-step explanation:

cause math

Answer:

  new equation: 2x +1 = 6 -3x

  solution: (x, y) = (1, 3)

Step-by-step explanation:

The Equal Values Method of solving a system of equations has you equate the two expressions that are equal to the same variable or expression. Here, we have two expressions that are equal to y.

The next step is to set them equal to each other:

  2x +1 = 6 -3x

__

This equation can be solved by adding 3x -1 to both sides to get ...

  5x = 5

Then dividing both sides by 5 gives ...

  x = 1

Substituting into either expression for y gives its value:

  y = 2x +1 = 2(1) +1 = 3

The solution to the system is (x, y) = (1, 3).

Answer:

A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.

Answer:

Below:

Step-by-step explanation:

1. 2 15/28  

2. 2 7/10  

3. 5/6

4. 1  5/12

5. 2 1/12