The Bryant family and the Parker family each used their sprinklers last summer. The Bryant family's sprinkler was used for 25 hours. The Parker family's
sprinkler was used for 40 hours. There was a combined total output of 1800 L of water. What was the water output rate for each sprinkler if the sum of the two
rates was 60 L per hr

Answer:

The first one is a scale by 1

The second one is a scale of 2

The third one is  scale of 5 starting at 100

Step-by-step explanation:

Based on the information, the option that is a factor of x³ - 1331 is A. x - 11.

It should be noted that factor simply means the number that divides another number. In contrast to multiples, which are multiplied by another number to produce particular numbers, factors are the numbers that split the supplied number exactly.

It should be noted that when we factor out 1331, we will get the values of 11 × 11 × 11. Therefore, it should be noted that the expression will become x³ - 11³.

Therefore, it should be noted that the formula that will be applied will be:

a³ - b³ = (a - b)(a² + an + b²)

Therefore, applying the formula illustrated will give:

x³ - 11³

= (x - 11)(x² + 11x + 11²)

= (x - 11)(x² + 11x + 121

Therefore, the option that is a factor of x³ - 1331 is x - 11.

Based on the information, the option that is a factor of x³ - 1331 is A. x - 11. In conclusion, the correct option is A.

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Answer:

A

Step-by-step explanation:

The quotient compares to the value of the original two integers as it's a positive number.

The result of dividing two numbers is a quotient; the divided number is referred to as the dividend, and the number by which it is divided is referred to as the divisor.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.

From the information, the quotient of two negative integers results in an integer.

Fur example, -4 divided by -2 will give a value of 2. Therefore, the quotient of the negative numbers is a positive number.

Therefore, the quotient compares to the value of the original two integers as it's a positive number.

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Answer:

I believe  D is the answer to the question above.

Step-by-step explanation:

Answer: pretty sure its D

Step-by-step explanation:

Answer:

y1+3=y2

10x-4=10x-4+3

you save $253.33 if you purchase this desk on sale.

We know that the price in sale of the desk is $380, and this is given by a discount of the 40% of the original price.

So, if the original price is defined by the variable P, the amoun you save by buying the discounted deck is:

P - $380

Now, remember that the discounted price should be written in terms of P as:

$380 = P*(1 - 0.4) = P*0.6

Where 0.4 is the decimal form of 40%.

With that we can find the value of P as:

P = $380/0.6

Then the amount that you save is given by:

P - $380 = $380/0.6 - $380 = $253.33

We conclude that you save $253.33 if you purchase this desk on sale.

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One has to invest $50000 in A and $25000 in B

Let x represent the investment in A and y represent the investment in B.

Total investment is $75,000 ( given )

hence x + y=$75,000 (from the above information)

x + y= 75,000     (equation 1)

Interest rate in A is 4.5 % and Interest rate in B is 3 %

now, 4% of $75000 = $3000

4.5x/100 + 3y/100 = $3000

= 4.5x+3y=300000  ( equation 2 )

Multiplying 3 to equation 1

which equals to 3x + 3y= 225000   ( equation 3 )

Solving equations:  equation 2 & equation 3

4.5x+3y=300000   ( equation 2 )

3x + 3y= 225000   ( equation 3 )

(-)    (-)   = (-)

1.5x  = 75000

x= 50000

substituting x= 50000 in equation 1 (x + y= 75,000)

50000 + y= 75,000

⇒y =75000-50000

⇒y=25000

Hence, Check can be done by multiplying the interest rates with the respective answer and summing them to get $3000

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Answer:

what's your question?

Step-by-step explanation:

The salary for the month for Juan including base salary and commission is $5805.

It should be noted that that Juan makes a base monthly salary of $3600 and he must sell $35000 worth of items per month. He also makes a 9% commission on all sales beyond the monthly quota.

Also, there is also an additional 9% bonus on top of the normal commission rate for any sales beyond $52500.

The total salary will be:

= $3600.+ (9% × $56000 - $35000) + (9% × $56000 - $52500)

= $3600 + $1890 + $315

= $5805

Therefore, the salary for the month for Juan including base salary and commission is $5805.

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Answer:

continuous it is continuous

The value of constant of proportionality that relates gallons to quarts is 0.25 .

As we all know that one gallon have four quartz.

The proportional relation is written as y = kx.

We know that y varies proportionately with x.

Substitute within the such that x = four and y = one values ​​and solve for k.

1 = k(4)

k =1 /4 = 0.25

Therefore the constant of proportionality is 0.25

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The range for the given function f(x) = | x + 5 | is {y | 0 ≤ y < ∞}

A function defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The independent variable = domain

The dependent variable = Range

We have a function,

f(x) = | x + 5 |

Let,

f(x) = y

x = -7, y = | -7 + 5 | = | -2 | = 2

x = -5, y = | -5 + 5 | = 0

x = -6, y = | -6 + 5 | = | -1 | = 1

x = -4, y = | -4 + 5 | = 1

x = -3, y = | -3 + 5 | = 2

x = -2, y = | -2 + 5 | = 3

x = -1, y = | -1 + 5 | = 4

x = 0, y = | 0 + 5 | = | 5 | = 5

x = 1, y = | 1 + 5 | = | 6 | = 6

x = 2, y = | 2 + 5 | = | 7 | = 7

x = 3, y = | 3 + 5 | = | 8 | = 8

..

..

..

We see that as x takes any value y increases.

x = domain, and y = range

y = 0, 1, 2, 3, 4, 5, ,,,,,,,∞

Thus the range is {y | 0 ≤ y < ∞}

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Answer:

c

Step-by-step explanation:

The depreciation for the first year of the truck's useful life is $32,000.

The cost of the truck is $40000.

The useful time is 5 years.

The residual value is $5000.

Now, the depreciation is given as:

SLM depreciation = (Cost - Residual Value) / 5 years

Depreciation expense per year = ($40,000 - $5,000) / 5

Depreciation expense for the first year = $7,000

Now,

The depreciation expense per mile is the difference between cost and residual value divided by expected miles over the truck's life.

Depreciation expense per mile = (Cost - Residual Value) / Expected miles over truck's life.

Depreciation expense = Depreciation expense per mile × Miles driven

Therefore,

Depreciation expense per mile will be:

= ($40,000 - $5,000) / 15,000 miles = $2.33 or $2

The first year depreciation will be:

= 16,000 miles × $2 per mile = $32,000

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The solution of the given equations that is x = 7 and x + y = 18 is :

x = 7

y = 11

What is a parallelogram ?

A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.

The figure shown is an parallelogram, where length of opposite sides are equal to each other

From the figure,

x = 7, as opposite side of x is given as 7

x + y = 18,

Putting the value of x in the above equation,

7 + y = 18

y = 18 - 7

y = 11

Therefore, we get after solving the given equations :

x = 7

y = 11

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Probability that this person uses at least 2 facilities is; 0.556

We are told that 14 people use all three facilities. This means:

36 − 14 = 22 represents the number of people that are using the gym and the pool but no the track.

35 − 14 = 21 represents the number of people that are using the pool and the track but no the gym.

32 − 14 = 18 represents the number of people that are using the gym and the track but no the pool.

Thus, total number of people that use at least 2 facilities = 14 + 22 + 21 + 18 = 75

Since total number of people at the sports center is 135, then it means that;

Probability that this person uses at least 2 facilities = 75/135 = 0.556

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a. The probability that the next scarf will be orange will be 1/5.

b. The probability of getting the ace or spades will be 17/52.

c. The probability of getting a king, queen, or jack will be 3/14.

a. The bag contains 3 blue scarves, 1 red scarf, 5 green scarves, and 2 orange scarves. The probability that the second scarf will be orange will be:

= 2/(3 + 5 + 2)

= 2/10

= 1/5

B. When a card is drawn at random from a deck of cards, the probability of getting the ace or spades will be:

Total number of cards withe the ace = 52

Total number of ace = 4

Number of spade = 13

The probability will be:

= 4/52 + 13/52

= 17/52

C. The probability of getting a king, queen, or

jack will be:.

= 4/52 + 4/52 + 4/52

= 12/52

= 3/14

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Answer:

Step-by-step explanation:

a(i)  q = 2p + (1/2)

(ii)  v = (1/10)u

(iii)  t = 15d

(iv)  m = 0.75d - 2

2p is added by the same constant so it's not proportional

Answer: 14%

Step-by-step explanation:

Answer:

Step-by-step explanation:

The graph will open upwards

Shifted to the right by 5

Vertex: (5,0)

Domain: x= All Real Numbers

Range: y[tex]\geq[/tex]0

The value of the t in the linear equation is 10 approximately.

According to the statement

We have to find that the value of the t.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The equations are:

h(t) = 0.5t + 8.

h(t) = −4.9(t − 5) + 38.

Then

= 0.5t + 8

= −4.9(t − 5) + 38.

And

= 0.5t + 8

= −4.9t + 24.5 + 38.

And

= 0.5t + 8

= −4.9t + 62.5

Now,

Subtact the equations then

= 0.5t + 8 - (−4.9t + 62.5)

= 0.5t + 8 + 4.9t - 62.5

= 0.5t + 4.9t - 62.5+8

=  5.4t -54.5

Then

5.4t = 54.5

t = 54.5/5.4

t = 10.092.

So, The value of the t in the linear equation is 10 approximately.

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The number of people aged 31-50 years old are cell phone users in the tri-County area are 26,767,650.

A pie chart, also known as a circle chart, is a method of summarizing a set of numeric variables or displaying the variables of a given factor (e.g. percentage distribution).

For the given question;

The total population = 72,345,000.

The total percentage between 31-50 years old = 23% + 14% (see from graph).

Let x be the total number of people between aged between 31 -50 years who are cell phone users.

(23% + 14%) of  72,345,000 = x

x = 37× 72,345,000 / 100

x = 26,767,650.

Therefore, the number of cell phone users aged between 31 to 50 are 26,767,650.

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The equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

The given parameters are

The sum of multiplicities of the polynomial equation must be equal to the degree.

This means that the multiplicity of each zero is 1

The equation of the polynomial is then calculated as

P(x) = Coefficient * (x - zero)^ multiplicity

So, we have

P(x) = -12(x - (-3))(x - (-1))(x - 2)

This gives

P(x) = -12(x + 3))(x + 1)(x - 2)

Hence, the equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)

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The probability of getting a green gum ball is 0.35 (35/101)

Probability is the measure of chance that some event would happen.

Probability that an event will occur = (No of favorable possibilities of the event) / (total possible possibilities)

Given that there are 35 green,22 white, 30 purple and 14 blue gumballs in the gumball machine.

Therefore, Total gum balls = 35+22+30+14 = 101

The probability of getting a green gumball = no of green gumballs/ total gumballs

Therefore, probability of getting a green gumball = 35/101 = 0.35

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The stack of pennies is an illustration of linear equation.

The equation for n pennies is: h(n) = 7.6 + 1.52nh(n)=7.6+1.52n .

h(1.52) does not make sense

(a) Complete the table

From the question, we have:

Start = 5Start=5 ---- the number of penny he started with

Thick = 1.52Thick=1.52 --- the thickness of a penny

The height of n pennies is calculated using:

h(n) = (Start + n) \times Thickh(n)=(Start+n)×Thick

So, we have:

h(n) = (5 + n) \times 1.52h(n)=(5+n)×1.52

h(n) = 7.6 + 1.52nh(n)=7.6+1.52n

When n = 0;

h(0) = 7.6 + 1.52 \times = 7.6h(0)=7.6+1.52×=7.6

When n = 1;

h(1) = 7.6 + 1.52 \times 1 = 9.12h(1)=7.6+1.52×1=9.12

When n = 2

h(2) = 7.6 + 1.52 \times 2= 10.64h(2)=7.6+1.52×2=10.64

When n = 3

h(2) = 7.6 + 1.52 \times 3= 12.16h(2)=7.6+1.52×3=12.16

b) h(1.52) does not make sense.

This is so because:

n will always be a whole number because it represents the number of pennies

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Answer:

When dividing fractions we "invert and multiply".

First, we should change 2 (5/16) to 37/16.

So, 37 / 16 divided by 7 / 8 equals

37 / 16 times 8 / 7

which equals 296 / 112 = 37 / 14 which equals

2 (9/14)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The little square symbol made in intersection point of two rays of angle A represents a right angle.

Angle B looks greater than Angle A but less than 180° (straight line) And Angle C looks smaller than Angle A but greater than 0 in measure.

Answer:

A. Right angle - it's is a right angle bcuz it's of 90° and perpendicular.

B. Obtuse angle - it's an obtuse angle bcuz it's more than 90°

C. Acute angle - it's an acute angle bcuz it's less than 90°

Answer:In the number, 687,760, there are two 7s; one is at a place value of hundred and the other is at thousand.

Hence, the higher place value 7 is 10 times greater than lower place value 7. Every consecutive place value is 10 times greater than the right one.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:50 min a day

Step-by-step explanation: julia studied 50 min a day