Write the ratio as a fraction in simplest form
4.5 hr to 4 hr

Answer:

24

Step-by-step explanation:

The number of soda bottles the machine can make  each minute is the unit rate, slope. To find slope using those two points, use the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the points: (2,48)  (7,168)

[tex]y_2=168[/tex]

[tex]y_1=48[/tex]

[tex]x_2=7[/tex]

[tex]x_1=2[/tex]

Plug these into the formula then solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{168-48}{7-2}[/tex]

[tex]=\frac{120}{5}[/tex]

[tex]=24[/tex]

The slope is 24, and therefore the unit rate. Hence, the machine can make 24 soda bottles each minute.

Simple way

Where you see the point at 48 and 2, it means [tex]\frac{48}{2}[/tex]. So divide

48 ÷ 2 = 24.

Answer:

5.22

Step-by-step explanation:

Answer:

its easy, just subtract 50 - 38 = 22 so its $5.60

(your welcome and math makes me notalisgica :) )

Step-by-step explanation:

Answer:

20.50609665

around 20.506

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:  

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

Learn more about maths in https://brainly.com/question/25749130

Answer:

2 14/25

Step-by-step explanation:

16/(2+1/2)^2 .        simplify 2+1/2 to 5/2

16/(5/2)^2

16/5^2/2^2

16/25/4

16*4/25

64/25

2 14/25

PEMDAS "P" is first, "E" second and then "D" is last

[tex]16\div \left( 2+\frac{1}{2} \right)^2\implies 16\div \left( \frac{2}{1}+\frac{1}{2} \right)^2\implies 16\div \left( \cfrac{4+1}{\underset{\textit{using this LCD}}{2}} \right)^2 \\\\\\ 16\div\left( \cfrac{5}{2} \right)^2\implies 16\div\cfrac{5^2}{2^2}\implies 16\div\cfrac{25}{4}\implies \cfrac{16}{1}\div\cfrac{25}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{25}\implies 2\frac{14}{25}[/tex]

Answer:

The answer is number 3.

Step-by-step explanation:

-15 - 8 = -23

12 + 11 = 23

When you subtract -23 from 23 you have a sum of 0

Therefore the answer is 0

[tex] \: \: \: \: [/tex]

[tex] = {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2} [/tex]

Step-by-step explanation:

[tex](ab + bc)(ab - bc)[/tex]

[tex](ab {)}^{2} - (bc {)}^{2} [/tex]

[tex] = {a}^{2} {b}^{2} - {b}^{2} {c}^{2} [/tex]

Answer: 301.44 cubic inches.

Step-by-step explanation:

The formula for the volume of a cone is [tex]V = \pi r^2 \frac{h}{3}[/tex], so by plugging in the radius (6) and height (8), and using 3.14 as pi, you can get 301.44 as the total volume.

Since it is volume, it is in inches cubed, Therefore, the final answer is 301.44 cubic inches.

I hope this helps! :)

Answer:

the answer is shown on the photo!

Answer:

a=570

Step-by-step explanation:

correct sure

Answer:

The easiest method is to find the x-intercepts of the quadratic function by substituting y=0 in the function and solving it to find the possible values of x. The number of all possible values of x is the number of x-intercepts of the graph.

Answer:

ok, anddddd???

Step-by-step explanation:

Answer:

what grade are you??........

Answer:

8th idea I'm sorry. uhhhhhhhh just wait not

Answer:

10 tomatoes (bottom fruit) - 9 kiwis (top fruit) = 1 tomato

10-9=1

Step-by-step explanation:

Step-by-step explanation:

12/14= 85.7143% 19/24= 79.1667%

Answer:

The solution of the system is (6, 9).

Step-by-step explanation:

Solve one of the variables and substitute the answer for the other variable.

Select one of the problems and solve for x.

3x+y=27

Subtract y from both sides.

3x+-y=27

Divide both sides by three.

x=1/3(-y + 27)

Multiply 1/3 by -y + 27.

x = -1/3y + 9

Replace -y/3 + 9 for x in the other problem 3x-2y=0.

3(-1/3y + 9) - 2y = 0

Multiply 3 by -y/3 + 9.

−y+27−2y=0

Add -y to -2y.

−3y+27=0

Subtract 27 from both sides of the problem.

−3y=−27

Divide both sides by −3.

y=9

Replace 9 for y in x=−1/3​y+9.

x=−1/3*9+9

Multiply −1/3​ times 9.

x=-3+9

Add 9 to -3.

x = 6.

x = 6, y = 9.

Answer:

the answer should be 2.5

Step-by-step explanation:

when divided 5/8 u get 0.625 and when u divided 1/4 u get 0.25 and u divided both answer u get 2.5

Answer:

Diameter is 10 units

Step-by-step explanation:

Convert standard form to general form by completing the square:

[tex]x^2+y^2-8x+2y-8=0[/tex]

[tex]x^2-8x+y^2+2y-8=0[/tex]

[tex]x^2-8x+y^2+2y=8[/tex]

[tex]x^2-8x+16+y^2+2y+1=8+16+1[/tex]

[tex](x-4)^2+(y+1)^2=25[/tex]

[tex](x-4)^2+(y+1)^2=5^2[/tex]

So, since the radius of the circle is 5 units, then the diameter is twice the radius, which is 10 units.

Answer:

50

Step-by-step explanation:

x2 + y2 - 8x + 2y - 8 = 0

first we find the radius with the equation.

write the equation in standard form.

x2 + y2 - 8x + 2y - 8 = 0

(x-4)^2 + (y+1)^2 = 25

(x-h)² + (y-k)² = r²

this means 25 is the radius and the diameter is two times the radius so,

25 x 2 = 50

Answer:

4, 7.5, 8.54,7.5,8.5

Step-by-step explanation:

We can use the Pythagorean Theorem to see if the side lengths will form a right triangle.

The equation for the Pythagorean Theorem is

a^2 + b^2 = c^2a  

2

+b  

2

=c  

2

a, squared, plus, b, squared, equals, c, squared

where aaa and bbb are the lengths of the two legs of the triangle, and ccc is the length of the hypotenuse.

[How can I tell which side is the hypotenuse?]

Hint #22 / 5

Let's check each set of numbers:

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 4^2 +\sqrt8^2 &\stackrel{\large?}{=} 24^2 \\\\ 16 + 8&\stackrel{\large?}{=} 576\\\\ 24&\neq 576\\\\ \end{aligned}  

a  

2

+b  

2

4  

2

+  

8

​  

2

16+8

24

​  

=c  

2

=

?

24  

2

=

?

576



​  

=576

​  

The side lengths 4, \sqrt8, 244,  

8

​  

,244, comma, square root of, 8, end square root, comma, 24 do not form a right triangle.

Hint #33 / 5

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 5^2 + 5^2 &\stackrel{\large?}{=} 5^2 \\\\ 25+ 25&\stackrel{\large?}{=} 25\\\\ 50&\neq 25\\\\ \end{aligned}  

a  

2

+b  

2

5  

2

+5  

2

25+25

50

​  

=c  

2

=

?

5  

2

=

?

25



​  

=25

​  

The side lengths 5, 5, 55,5,55, comma, 5, comma, 5 do not form a right triangle.

Hint #44 / 5

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 4^2 + 7.5^2 &\stackrel{\large?}{=} 8.5^2 \\\\ 16+ 56.25&\stackrel{\large?}{=} 72.25\\\\ 72.25&\stackrel{\checkmark}{=} 72.25\\\\ \end{aligned}  

a  

2

+b  

2

4  

2

+7.5  

2

16+56.25

72.25

​  

=c  

2

=

?

8.5  

2

=

?

72.25

=

✓

72.25

Answer:

4, 7.5, 8.5

Step-by-step explanation:

I had this question on Khan, and it was right (:

Answer: I dont understand the question

Step-by-step explanation:

Answer:

936

Step-by-step explanation:

Therefore you multiply 6 by 18 = 6×18= 108

1,044 - 108 = 936

So therefore the total is 936

Answer:

Step-by-step explanation:

Ask Siri

Answer:

Step-by-step explanation:

[tex]y - intercept = 3[/tex]

[tex]x - intercept = - 4[/tex]

sAnswer:189 students

Step-by-step explanation:

The Formula:

t = cn + 42

Answer:

  (a) 43.6490°N, 70.3928°W

  (b) Baker's Field

Step-by-step explanation:

The locations are all within a 7-mile square, so we will make the assumption of a flat Earth with parallel longitude lines. Then the "central" location will be the weighted average of the latitude and longitude coordinates.

Total population is 16000 +22000 +36500 = 74,500. For purposes of the arithmetic, we will subtract 43 from latitude and 70 from longitude, then multiply each fraction by 10. Similarly, we will divide each population by 1000.

The weighted average location is found from ...

  (16/74.5)(6.769, 3.717) +(22/74.5)(5.781, 3.222) +(36.5/74.5)(6.795, 4.447)

  = (1.4537, 0.7983) +(1.7071, 0.9515) +(3.3291, 2.1787) = (6.490, 3.928)

The center of gravity is about 43.6490°N, 70.3928°W.

__

The coordinate differences from the center of gravity are (in (°lat, °long)) ...

  Baker's Field: (0.0294, -0.0101)

  Lonesome Acres: (-0.1371, -.0072)

Clearly, Baker's field is closer to the site of part (a).

_____

Additional comment

Distance calculations could be refined further by considering that a degree of longitude at this latitude represents about 0.72 times the distance of a degree of latitude. In this problem, the location of Lonesome Acres has a latitude difference that is several times any of the other coordinate differences, so it is clearly much farther away from the desired location.

The calculations done here are a sort of first-level approximation. The least-significant digits in the coordinates represent a distance of less than 50 feet. If you really want accuracy to that level, then the (approximately) spherical shape of the Earth needs to be accounted for. As a second-level approximation, some reference point needs to be identified, and coordinates in miles (or feet) need to be expressed in relation to that reference. The best accuracy would be obtained using spherical trigonometry to identify the distances.

We expect any school that is constructed to be somewhat larger than 50 feet in any direction, so accuracy to the 4th decimal place in these locations is probably not required--except to satisfy some answer-checker.

Answer:

2/3

Step-by-step explanation:

slope = change in y / change in x = (-7-(-1))/(-5-4) = (-6)/(-9) = 2/3

Check the picture below.

so let's add all sides and that'd be the area of the rectangular prism.

[tex]\stackrel{\textit{top and bottom}}{2(4\cdot 7)}+\stackrel{\textit{left and right}}{2(4\cdot 4)}+\stackrel{\textit{front and back}}{2(4\cdot 7)}\implies 56+32+56\implies 144[/tex]

Answer:

Keegan is 16 and Jamie is 13.

Step by Step Explanation:

So if we were to take the number 39 and divide it by 2, we would get 19.5. Since Jaime is 3 years younger, we would subtract 3 from one of the 19's. Then we would add 1.5 to both of the numbers since that 3 we subtracted has to go somewhere in that 39, and we come up with the numbers 21 and 18. Since it is asking how old they are NOW and not in the future, we subtract 5 from both numbers to account for the 5 years, and we end up with the years 16 and 13.

Math:

39÷2 = 19.5

19.5 19.5

-3

___________

16.5 19.5

+1.5 +1.5

___________

18 21

-5 -5

13 16

Answer: 13x4+g

Step-by-step explanation:

Answer:

[tex]5x^2 + 3x - 2[/tex]

This answer is correct because I simplified using like terms.

Step-by-step explanation:

Subtracting Polynomials

They key to subtract, multiply, add, and divide polynomials is by using like terms. Like terms are values with the same bases. For example :

          [tex]ax^2[/tex]     and    [tex]2ax^2[/tex]    are like terms because they have the base  [tex]ax[/tex]

Step 1: Move like terms together

First, let's remove all parenthesis:

[tex](3x^2 + 9x-6)-(2x^2-4x^2+6x-4)\\\\= 3x^2+9x-6-2x^2+4x^2-6x+4[/tex]

Now let's move all like terms together:

[tex]3x^2+9x-6-2x^2+4x^2-6x+4= \\3x^2-2x^2+4x^2+9x-6x-6+4[/tex]

Step 2: Simplify

Now we can add and subtract the like terms like we do in any other problem

[tex]3x^2-2x^2+4x^2+9x-6x-6+4 = \\5x^2+3x-2[/tex]

Step 3: Explaining your answer

Just say: "This answer is correct because I simplified using like terms"

-Chetan K