t) A car rental agency rents 210 cars per day at a rate of 27 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income?

Answer:

12 cups of salad

Step-by-step explanation:

Let the unknown cups of salad in the mixture be x( unknown cup in 55% mixture)

Thus, we have the following expression that shows the number of salad in the resulting mixture;

4(40%) + x(55%) = (4+x)(50%)

= 0.4(4) + x(0.55) = 0.5(4 + x)

= 1.6 + 0.55x = 0.2 + 0.5x

0.2 -1.6 = 0.55x-0.5x

0.4 = 0.05x

x = 0.4/0.05

x = 8 cups of salad

So the number of salad cups in the resulting mixture = x + 4 = 8 + 4 = 12 cups of salad

Answer:

12

Step-by-step explanation:

yes

Answer:

[tex] \frac{2xz + 3xy}{5yz} \: seconds[/tex]

solution,

[tex]time = \frac{distance}{speed} [/tex]

Let race be X meters.

Total time taken:

[tex] \frac{40 \: percent \: of \: x}{y \: metre\: per \: second} + \frac{60 \: percent \: of \: x}{z \: metre \: per \: second} \\ = \frac{40}{100} \times \frac{x}{y} + \frac{60}{100} \times \frac{x}{z} \\ = \frac{2}{5} \times \frac{x}{y} + \frac{3}{5} \times \frac{x}{z} \\ = \frac{1}{5} ( \frac{2x}{y} + \frac{3x}{z} ) \\ = \frac{x}{5} ( \frac{2z + 3y}{yz} ) \\ = \frac{2xz + 3xy}{5yz} \: seconds[/tex]

hope this helps...

Good luck on your assignment...

Answer:

t= 0.2x (2/y + 3/z)

Step-by-step explanation:

Distance:

40% of the race= 0.4x

60% of the race= 0.6x

Speed:

y m/s at first part and z m/s at second part

Time:

time= distance/speed, it also consists on 2 parts due to different speed

t= 0.4x/y + 0.6x/z

or

t= 0.2x (2/y + 3/z) seconds is the answer

Answer:  see below

Step-by-step explanation:

[tex]sin\ \theta=\dfrac{y}{r}=\dfrac{84}{85}\qquad \qquad \text{Quadrant I implies both x and y are positive}\\\\\\\\\text{Use Pythagorean Theorem to find x:}\\x^2+\ y^2=r^2\\x^2+84^2=85^2\\x^2\qquad =85^2-84^2\\x^2\qquad =169\\.\qquad x =13\\[/tex]

Input x = 13, y = 84, r = 85 into the trig functions:

[tex]\sin\ \theta=\dfrac{y}{r}=\large\boxed{\dfrac{84}{85}}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\large\boxed{\dfrac{85}{84}}\\\\\\\\\cos\ \theta=\dfrac{x}{r}=\large\boxed{\dfrac{13}{85}}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\large\boxed{\dfrac{85}{13}}\\\\\\\\\tan\ \theta=\dfrac{y}{x}=\large\boxed{\dfrac{84}{13}}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\large\boxed{\dfrac{13}{84}}[/tex]

Answer:

7/9

Step-by-step explanation:

√(49/81)

Distribute the square root to both the numerator and denominator.

√49/√81

Solve the square root.

√49 = 7

√81 = 9

7/9

The solution to the square root of 49 divided by 81 is equal to 7/9.

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce that the following mathematical expression would represent the "the quotient for square root of 49 divided by 81;"

Expression: [tex]\sqrt{\frac{49}{81}}= \frac{7}{9}[/tex]

Expression: 7/9

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A correct option is an option (d)

The given expression is,

[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )[/tex]

Now, simplifying the given expression as,

[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )=(x\sqrt{6}-8\sqrt{2}x\sqrt{x} )(3\sqrt{x} -x\sqrt{5x^5}) \\ = (x\sqrt{6}+8x\sqrt{2x} )(3\sqrt{x} -x^3\sqrt{5x} )\\=3x\sqrt{6x} -x^4\sqrt{30x}+24x^2\sqrt{2x} -8x^5\sqrt{10x}[/tex]

So, the correct option is an option (d).

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The current function equation is  Y=1/3|x|

---------------------------

The meaning relative f(x) = is the absolute value and is weighted by a factor 3 vertically.

If a constant (say a) multiplies the function, the parent will be extended vertically.

We have below vertical extension and compression conditions.

A > 1 = > spread vertically

0 < < 1 = > compression vertically

Therefore we will subtract the entire feature by 1/3 for vertical compression by a factor of 3.

The equation for the current function is then Y=1/3|x|

---------------------------

Hope this helps!

Brainliest would be great!

---------------------------

With all care,

07x12!

Answer: G(x)= 3/4 |x|

Step-by-step explanation:

(A.pex)

Answer: x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16.

Step-by-step explanation:

You know that there are 16 coins in all, so x + y has to equal 16 (x being dimes and y being quarters) but you also know that whatever compilation of dimes and quarters is equal to $2.95.

Hope this helped you! Feel free to ask any further questions!

The system of equations which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

Suppose  the number of dimes be x and the number of quarters be y.

According to question there are 16 coins, so

x+y=16-----1

1 dime=$0.10

1 quarter=$0.25

According to question Hamid has $2,95 ,so

0.10x+0.25y=2.95.

Hence the system which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.

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Answer: D) OF

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

10ths Place (Decimal)

Step-by-step explanation:

Whole numbers:

The 1 in 19.54 is in the tens place.

The 9 is in the ones place.

Decimals:

The 5 is in the tenths place.

The 4 is in the hundredths place.

Answer:

look below for your answer

Step-by-step explanation:

5 is in the tenth column

i hope i helped you

please mark my answer as brainliest

Answer:

Hay 160 maneras

Step-by-step explanation:

Para calcular de cuántas maneras se puede seleccionar x elementos de un grupo de n elementos podemos usar la siguiente fórmula:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

Si vas a elegir 3 personas de entre 6 matrimonios y dos miembros de la misma pareja no pueden ser elegidos, entonces podemos decir que se está eligiendo 3 matrimonios y en cada matrimonio se está eligiendo un representante.

Entonces, podemos calcular de cuántas maneras se puede escoger 3 matrimonios de los 6, así:

[tex]6C3=\frac{6!}{3!(6-3)!}=20[/tex]

Adicionalmente, para cada uno de los 3 matrimonios hay 2 opciones para ser representantes. Esto significa que hay [tex]2^3[/tex] maneras de escoger representantes en cada una de las 20 formas calculadas anteriormente.

Por lo tanto se puede formar el grupo de 3 personas de 160 maneras diferentes:

[tex]20*2^3=160[/tex]

Answer:

s=10Ź+ź×ź

Step-by-step explanation:

S =ut + 1/2at×t

Answer:

4pie

Step-by-step explanation:

period = time/number of oscillation

time=4pie

number of oscillation = 1

then

period = 4p/1= 4p

Answer:

b. 4pi

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The slope of the line is given by

m= (y2-y1)/(x2-x1)

   = (6-3)/(0 - -4)

  = (6-3)/( 0+4)

   3/4

Answer:

x = 3 ft

y = 83

Step-by-step explanation:

DEFG ≅ SPQR

So, corresponding part will be congruent

∠D ≅ ∠S   ; ∠E ≅ ∠P ;  ∠F≅ ∠Q  ;  ∠G ≅ ∠R

DE = SP

x = 3 ft

Sum of interior angles = 360

∠D + ∠E + ∠F + ∠G = 360

∠S + (y+3) + ∠Q + (y +1) = 360

107 + y + 3 + 83 + y+1 = 360

194 + 2y = 360

        2y = 360 - 194

        2y = 166

         y = 166/2

        y = 83

Answer:

D. The slope of AC = The slope of DF

Step-by-step explanation:

Given

Parallel lines AC and DF

Required

What is the missing statement for step 6?

The question seem incomplete; however one can deduce from the list of options that the requirement of the question is to state the condition for parallel lines;

Let [tex]m_1[/tex] and [tex]m_2[/tex] represent the slope of AC and DF resoectively

The condition for parallel line is such that

[tex]m_1 = m_2[/tex]

This implies that

the slope of AC = the slope of DF

From the list of given options, option D correctly answers the question

Based on the relationship between slopes and parallel lines, we can deduce that the missing statement is given by: the slope of AC = The slope of DF.

Mathematically, the slope of a line is calculated by using the following formula;

[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

In Geometry, two lines are considered to be parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

Based on the above conditions, we can deduce that the missing statement is given by:

The slope of AC = The slope of DF.

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Answer:

[tex]\boxed{GJ = 76 \ degrees}[/tex]

Step-by-step explanation:

According to Angles of intersecting chords theorem:

∠GAJ = [tex]\frac{1}{2} (BD+GJ)[/tex]

Where ∠GAJ = 50 , BD = 24 and GJ = ?

50 = [tex]\frac{1}{2} (24+GJ)[/tex]

Multiplying both sides by 2

100 = 24 + GJ

GJ = 100-24

GJ = 76 degrees

Answer:

tan 50 = (51+10)/x where x is the distance of the boat

x = 51.2 m  

Boat is in an unsafe area

Step-by-step explanation:

<3

Answer:

the degree is 3 and the number of terms is 3 after simplifying

the degree is 9 and the number of terms is 9 after simplifying

the degree is 4 and the number of terms is 2 after simplifying

Answer:

solution,

She starts to work at 7:45 am

She stops the work at 12:30 for lunch.

Before launch, she works 4:15 hours.

And after lunch ,she works 4 hours

Now,

total she works 8 hours 15 minutes.

For each hour,she earn 7.60

[tex]8 \times 7.60[/tex]

=$ 60.8

For another 15 min,she earns $ 1.9

So,

Total earning=60.8+1.9

=$ 62.7

Hope this helps...

Good luck on your assignment...

Answer: -1/1

Step-by-step explanation: The fraction, -1/1 or just -1, passes through the transactional point through the slope of the line, y=3x+5.

Answer:

answers are a and b

picture shown

Answer:

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

Rational numbers are numbers that can be written as the quotient or fraction of two integers, and this contain a numerator and a denominator which is non-zero number.All rational numbers are real numbers and all integers are real numbers as well.

A natural numbers are the positive integers which is also referred to as non-negative integers, examples include 2, 200, 3, 4, 5, 156 .. ∞. we can say natural numbers are a set of all the whole numbers.

These numbers are enclosed by integers, which comprise some negative numbers such as -18, -9, -183 and so on.

In addition, an integers are also enclosed by rational numbers, which comprises terminating decimals such as 8.34, 3.44,15.7543,4.075421 and so on.

With the given terminating decimal between -3.14 and -3.15, It can be deduced that rational numbers contain integers,since integers also include negative numbers because integer are numbers that is devoid without of any fractional component

Answer:

d

Step-by-step explanation:

The answer would be x =7/5 because you would need to multiply everything by two. Then you would add 4+3 and you would end up with 5x = 7. After that, you need to divided both answers by five

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Answer:

The answer is x=7/5

Step-by-step explanation:

because you have to multiply everything by 2 the add 4+3 and you end up with 5x=7 then divide both sides by 5

Answer:

a function, it passes the vertical line test

Step-by-step explanation:

Answer:

Function

Step-by-step explanation:

This is a function because when you do the line test there are no 2 points on the same line. The line test is when you have a bunch of lines going up and down to see if more then one point is on the same line if so it is not a function. When only one point lays on each line then it is a function.

Answer:

1/28

Step-by-step explanation:

The expression is 7x-4y

Replace x by 1/4 and y by 3/7

Answer:

The correct options are;

A. 120

B. 34

Step-by-step explanation:

The given parameters are;

Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order

Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows

When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other  digits is 24

Arrangement,                                              Number of ways

1, 2, 3, 4, 5, 6,                                               24

1, 4, 2,                                                            18

1, 4, 5, 2,                                                        12

1, 4, 5, 6, 2,                                                     6

4, 1, 2,                                                             18

4, 1, 5, 2,                                                         12

4, 1, 5, 6,                                                         6

4, 5, 1, 2,                                                         12

4, 5, 1, 4, 2                                                      6

4, 6, 5,                                                            6

Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways

The correct option is A. 120

2. The dimensions of the original rectangle = L by W

The dimensions of the lager rectangle = 1.5·L by 2·W

1.5·L × 2·W = 30

Given that L > W

∴ L×W = 30/(1.5 × 2) = 30/3 = 10

The possible integers that have a product of 10 are;

1 × 10 and 5 × 2

Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4

Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23

Therefore, the largest possible rectangle is 34

The correct option is B. 34.

Answer:

The correct options are;

A. 120

B. 34

Step-by-step explanation:

The given parameters are;

Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order

Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows

When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other  digits is 24

Arrangement,                                              Number of ways

1, 2, 3, 4, 5, 6,                                               24

1, 4, 2,                                                            18

1, 4, 5, 2,                                                        12

1, 4, 5, 6, 2,                                                     6

4, 1, 2,                                                             18

4, 1, 5, 2,                                                         12

4, 1, 5, 6,                                                         6

4, 5, 1, 2,                                                         12

4, 5, 1, 4, 2                                                      6

4, 6, 5,                                                            6

Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways

The correct option is A. 120

2. The dimensions of the original rectangle = L by W

The dimensions of the lager rectangle = 1.5·L by 2·W

1.5·L × 2·W = 30

Given that L > W

∴ L×W = 30/(1.5 × 2) = 30/3 = 10

The possible integers that have a product of 10 are;

1 × 10 and 5 × 2

Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4

Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23

Therefore, the largest possible rectangle is 34

The correct option is B. 34.

Answer:

f(x) = x² - 6x

g(x) = (x³)² = x^6

( f o g) x

Wherever you see x in f(x) replace it by g(x)

That's

( f o g)(x) = (x^6)² - 6(x^6)

= x^12 - 6x^6

Hope this helps

Answer: Linear

Step-by-step explanation:

Answer:

solution,

In rectangle, the diagonal bisects each other,

BE=ED

[tex]2x + 4 = 7x - 1 \\ or \: 2x - 7x = - 1 - 4 \\ or \: - 5x = - 5 \\ or \: x = \frac{ - 5}{ - 5} \\ x = 1[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

9:30 A.M

Hope this helps! Have a nice day :)

Answer:

Total time they used = 2 hours 45min + 1 hour + 1 hour

= 4 hours 45min

To find the time they started watching

Subtract it from the time they came from playing soccer

that's 2:15pm

After subtracting we get

9:30 am

Hope this helps