Water flows through a pipe of a rate 12 cups every 5 hours. express this rate of flow in gallons per week. round your answer to the nearest tenths

Answer:

3.02

Step-by-step explanation:

quarters are .25

dimes are .10

nickels are .05

pennies are .01

9 * .25 + 4 * .10 + 7 *.05 + 2 *.01

2.25+0.4+0.35+0.02

3.02

Answer: bus driver

Step-by-step explanation:

Given: Earning of bus driver =  1600 dollars per month

Earning of  manager  = 6800 dollars per month

Amount donated by bus driver = 1200 dollars

Amount donated by manager = 4500 dollars

Percentage of amount donated by bus driver = [tex]\dfrac{1200}{1600}\times100 \%=\dfrac{3}{4}\times100\%=75\%[/tex]

Percentage of amount donated by manager = [tex]\dfrac{4500}{6800}\times100 \%\approx66.18\%[/tex]

Clearly, 75> 66.18

So, bus driver donated  higher percentage of money.

Answer:

10

Step-by-step explanation:

10. ................ ..........

um you need to be more specific on the question bud

Answer: The prime factorization is 3*11*11.

Answer:  D.gallons

Step-by-step explanation:

Kilogram is a unit of mass

Now, Pounds, Tons and Ounces are also units of mass.

But Gallons is a unit of volume, where 1 gal = 3.785 L

Then you never can represent an amount of mass using units for volume, which means that gallons is incommensurabe with kilograms.

the correct option is D

Answer: (-7, 7)

Step-by-step explanation:

Answer:

[tex]\mathrm{Solution\:} = (- 7,7) = \mathrm{Last\:}\mathrm{Option\:}[/tex]

Step-by-step explanation:

In my point of view the easiest approach to solving this problem would be by determining the distance between the given points (the midpoint and the other given point) --- (1) and then going through all the answer choices and matching their distance to the midpoint --- (2). This may seem like a hard approach, but you can eliminate many of the answer choices.

The answer is the last choice, so let's prove it.

[tex]\mathrm{Distance\:between\:}\left(1,\:5\right)\mathrm{\:and\:}\left(9,\:3\right) = \sqrt{\left(9-1\right)^2+\left(3-5\right)^2} = 2\sqrt{17}[/tex]

[tex]\mathrm{Distance\:between\:}\left(1,\:5\right)\mathrm{\:and\:}\left(-7,\:7\right)=\sqrt{\left(-7-1\right)^2+\left(7-5\right)^2}=2\sqrt{17}[/tex]

[tex]2\sqrt{17} = 2\sqrt{17}[/tex]

As the distance between points (1,5) and (9,3) respectively (1,5) and (- 7,7) is the same, we proved that our answer is the last choice.

Answer:

25.15 in

Step-by-step explanation:

let's say that x = wide

so x+5.89=length

the perimeter is = 2(width +length)

P=2(x+x+5.89)

108.39=2(2x+5.89)

2x+5.89=54.195

2x=48.305

x=24.1525 in

which is 24.15 in

Answer:

The answer is -2 5/14 if you're trying to solve for m

Step-by-step explanation:

first you get rid of the fractions by mutiplying both sides by 4.

4(4m-3/4)=(-9+4m/8)4

16m-3=-36+2m      then you put the varible terms on one side and the numbers on one side

14m=-33

then divide -33 by 14

which will give you the fraction -2 5/14 unless you want decimal form which would be around -2.36

Answer:

[tex]m=-\frac{33}{14}[/tex]

Step-by-step explanation:

[tex]4m-\frac{3}{4}=-9+\frac{4m}{8}[/tex]

[tex](4m-\frac{3}{4})8=(-9+\frac{4m}{8})8[/tex] multiply by 8 to get rid of the largest denominator

[tex]32m-\frac{24}{4}=-72+4m[/tex]

[tex]32m-6=-72+4m[/tex]

[tex]32m-4m=-72+6[/tex] Rearrange the equation and Collect like-terms

[tex]28m=-66[/tex]

[tex]m=-\frac{66}{28}[/tex] simplify

[tex]m=-\frac{33}{14}[/tex]

Answer:

9:15 am

Step-by-step explanation:

Alarms sound at 7:15 am

Alarm frequencies are 40 min and 60 min

Since 40= 20*2 and 60= 20*3, the overlapping frequency is:

So next time both alarms sound at 7:15 am + 2 hours = 9:15 am

Answer:

Trust me its 9:15 am

Step-by-step explanation:

Answer:

j(2) - 40

Step-by-step explanation:

Answer:

p<5

Step-by-step explanation:

-3(p+1)<-18

-3p-3<-18

+3 +3

-3p<-15

-3p/3<-15/-3

p<5

Answer:

[tex]y=\frac{48}{x}[/tex]

Step-by-step explanation:

When x = 3, y = 16

When x = 6, y = 8

We need to model the inverse variation.

Inverse Variation : When one value increase another value decrease. But product of both always constant.  

[tex]xy=k[/tex]

when x=3, y=16

k=48

When x=6, y=8

k=48

Model of the inverse variation:

[tex]y=\frac{48}{x}[/tex]

Hence, The model of inverse variation is

[tex]y=\frac{48}{x}[/tex]

Answer:

The inverse variation equation can be used to model this function is:

[tex]y=\frac{48}{x}[/tex]

Step-by-step explanation:

An inverse relationship between two variables implies that if the value of one variable increases the value of the other variable will decreases and vice-versa.

The inverse function describing the relationship between x and y is as follows:

[tex]y=\frac{a}{x}[/tex]

Here, a is a constant.

It is provided that when the value of x is 3 the value of y is 16.

Compute the value of a as follows:

[tex]y=\frac{a}{x}[/tex]

[tex]16=\frac{a}{3}\\\\[/tex]

[tex]a=48[/tex]

It is also provided that when the value of x is 6 the value of y is 8.

Compute the value of a as follows:

[tex]y=\frac{a}{x}[/tex]

[tex]8=\frac{a}{6}\\\\[/tex]

[tex]a=48[/tex]

The value of a is 48.

Then the inverse variation equation can be used to model this function is:

[tex]y=\frac{48}{x}[/tex]

Answer:

141  5/7

Step-by-step explanation:

8c + 10b ÷ 7a

Let c = 7, b = 12, and a = 5

8*7 + 10*12 ÷ 7*5

Multiply and divide from left to right

56+120 ÷7*5

56+ 600/7

Get a common denominator

392/7 + 600/7

992/7

Change from an improper fraction to a mixed number

141  5/7

Answer:

    416                    3

=  --------    or   59 ----

       7                     7

Step-by-step explanation:

8c + 10b ÷ 7a

if c = 7, b = 12, and a = 5

plug in values:

= 8(7) + 10(12) ÷ 7(5)

= 56 + 120 / 35

= 56 + 24/7 ---- convert into factions

  56 * 7      24

=  --------  + ------

        7         7

sine the denominator are equal, combine the fraction

    56 * 7 + 24

=  -----------------

             7

    416                    3

=  --------    or   59 ----

       7                     7

Answer:

[tex]LS = 63[/tex]

Step-by-step explanation:

Given

[tex]LS = 14x - 21[/tex]

[tex]LH = 15[/tex]

[tex]HS = 8x[/tex]

Required

Determine the length of LS

Since H is between L and S, then

[tex]LS = LH + HS[/tex]

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

[tex]14x - 21 = 15 + 8x[/tex]

Collect Like Terms

[tex]14x - 8x = 21 + 15[/tex]

[tex]6x = 36[/tex]

Divide both sides by 6

[tex]x = 6[/tex]

Substitute 6 for x in [tex]LS = 14x - 21[/tex]

[tex]LS = 14(6) - 21[/tex]

[tex]LS = 84 - 21[/tex]

[tex]LS = 63[/tex]

Hence, the length of LS is 63 units

Domain: (-∞,∞)

Range: (3,∞)

x-intercepts: none

y-intercepts: (0,7)

Interval positive: (3,∞)

Interval negative: none

Interval increasing: (7,∞)

Interval decreasing: (-∞,7)

I'm not sure what the average rate of change over is though.

Answer: 1:6 or 1/6

Step-by-step explanation: there are 6 possible numbers you could roll on a fair die, so rolling a three would be 1:6

Answer:

3/36  (8.333%)

Step-by-step explanation:

Hope this helps!

Answer:

41

Step-by-step explanation:

3(14)-1

42-1

41

Answer:

41

Step-by-step explanation:

Just plug 14 in and don't worry about f(x).

f(x)= 3(14)-1

Answer:

The distance between L and Y is 15

Answer:

Casy

Step by step explanation:

You divide the miles by their time

It took Jessica 6 minutes and .03 seconds to finish a mile

It took Casy 5 minutes and 54 seconds to finish a mile

Casy is .09 Seconds quicker than Jessica

Answer:

The value of f(0) is Option (A) : - 2

Answer:

7 times greater

Step-by-step explanation:

This is because 84 divided by 12 is 7, so i guess that is your answer.

hope this helps

Answer:

see explanation

Step-by-step explanation:

Using the method of completing the square.

Given

f(x) = x² + 4x - 6

add/subtract ( half the coefficient of the x- term )² to x² + 4x

f(x) = x² + 2(2)x 6 + 4 - 4 - 6

      = (x + 2)² - 10

with m = 2 and n = - 10

To solve the equation let f(x) = 0 , that is

(x + 2)² - 10 = 0 ( add 10 to both sides )

(x + 2)² = 10 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{10}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{10}[/tex]

The positive solution is

x = - 2+ [tex]\sqrt{10}[/tex] ≈ 1.16 ( to 2 dec. places )

Answer:

#1 N=2

#2 X= -3

#3 V=1, 1 1/2

Answer:

22/15 in fraction 1 7/15

Step-by-step explanation:

Answer:

___________

Exact Form:

22 / 15

Decimal Form:

1.46 continuous

Mixed Number Form:

1 7/15

To write 9/5 as a fraction with a common denominator, multiply by 3/3

9/5 x 3/3 - 1/3

To write −1/3  as a fraction with a common denominator, multiply by 5/5.

9/5 x 3/3−1/3 x 5/5

Write each expression with a common denominator of 15, by multiplying each by a factor of 1

Multiply 9/5 and 3/3

9 x 3/5 x 3 - 1/3 x 5/5

Multiply 5 by 3

9 x 3/15 − 1/3 x 5/5

Multiply 1/3 and 5/5

9 x 3/15 − 5/3 x 5

Multiply 3 by 5

9 x 3/15 − 5/15

Then combine the numerator over the common denominator

9 x 3 - 5 / 15

then simplify the numerator

mutiply 9 by 3

27 - 5/15

subtract 5 from 27

22/15

Answer:

[tex]3i\sqrt{2}[/tex]

Step-by-step explanation:

If we have the expression [tex]\sqrt{-18}[/tex], we can divide -18 by 2.

[tex]\sqrt{2\cdot-9}[/tex]

The square root of 9 is 3, and since we’re finding the square root of a negative number, we append the “i” to the term: so 3i.

This goes outside the root, making the expression [tex]3i\sqrt{2}[/tex].

Hope this helped!

Answer:

The code is 571113

Step-by-step explanation:

The problem requires that we find the prime factors of 5005

1. 5005 is a multiple of 5 since it ends with a number 5

5 is one of the numbers

Dividing 5005/5 = 1001

the next prime number after 5 is 7

so 1001/7= 143

7 is one of the numbers

the next prime number after 7 is 11

so 143/11= 13

13 is one of the numbers

In all the prime factorization of 5005 is found as follows

5,7 11,13

Combining these numbers gives the 6 digit code

571113

Answer:

            About 20

           {19 exactly}

Step-by-step explanation:

Evaluate means find approximate value without exact calculation (usually done with great numbers or with fractions)

-8 is approximately -(2+5) so the sum is about 0

34-14 = 30-10 = 20

20 + 0 = 0

The exact calculation would be:

34 -8 - 14 + 2 + 5 = 34 - 14 - 8 + 7 = 20 - 1 = 19

Answer: p²-3

Step-by-step explanation:

3 less than the square of a number p=p²-3

When coming across [a less than b], this means b-a.

If you are pretty confused with this variable expression, I will provide to you with some numerical examples.

This pattern will also apply for p

Answer:

A

Step-by-step explanation:

Think of this always

Whole Numbers > integers > rational numbers > Real numbers

Not all real numbers are whole numbers. It could be and integer like 1.5 which is a real number but not a whole number. So A is lying.

Answer:

The Answer is A.

Step-by-step explanation:

All numbers are real numbers but not all real numbers are a whole. I can't give any further explanation but this is what we were taught when I was younger so it should be correct.

Answer:

y = 35    x = 39

Step-by-step explanation:

Let large no = x and small no = y

According to the question,

x = 4 + y ------ (1)

x + y = 74 -------- (2)

Substituting (1) in (2)

( 4 + y ) + y = 74

4 + 2y= 74

2y = 74 -4

y = 70 / 2 = 35

x = 4 + y

  = 4 + ( 35 )

   =  39