A bathtub fills at a constant rate. The amount of water in the tub increases by 1/2 gallon every 1/10 minute. What is the unit rate at which the bath tub fills?

Answer:

X=2, y=8

Step-by-step explanation:

Y=-x+10 equation 1

y=2x+4 equation 2

-x+10=2x+4. Substitute y of first equation into 2nd equation

-x-2x+10=4

-3x=4-10

-3x=-6

x=2

solve for y by inserting x value into either equation

y=-x+10

y=-2+10

y=8

check answer

y=2x+4

8=2(2)+4

8=4+4

8=8

Answer:

Should Be 19 students

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/4 - 1/6

= 1/12

Answers:

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

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Explanations:

1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.

1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

Therefore, we can predict that when x is 21, y is 20.

1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

Therefore, we can predict that when y is 150, x is -18.

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2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:

Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.

Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

Answer:

SAS

Step-by-step explanation:

Given: I is the midpoint of ME and SL

which prosulate can be used to prove the triangles congruent?

The solution is, SAS prosulate can be used to prove the triangles congruent.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

given that,

I is the midpoint of ME and SL

so, we get,

MI = IE

and, SI = IL

now, we know that,

the opposite angles are equal to each other.

so, we have,

angle MIS = angle LIE

so, for triangle MSI & LIE

We get,

MI = IE

SI = IL

angle MIS = angle LIE

so, we get,

both the triangles congruent by SAS.

Hence, The solution is, SAS prosulate can be used to prove the triangles congruent.

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Answer: 6700 meters

Step-by-step explanation:

From the question given, we are informed that Gephart is traveling from his house to the history museum and that the distance from home to the history museum is six and seven-tenths kilometers.

In order to know the distance in meters

that he will travel to the museum, we have to multiply the convert the distance given in kilometers to meters. This will be:

1000 meters = 1 kilometer

Therefore, 6 7/10km = (6 7/10 × 1000m)

= 6 7/10 × 1000

= 67/10 × 1000

= 67 × 100

= 6700 meters

He'll travel 6700 meters to the museum.

Answer:

y = 96 * (1/2)ˣ   or

y = (-96)*(-1/2)ˣ

Step-by-step explanation:

y=a(b)ˣ

pass (1 , 48):  48 = a * b¹        ab = 48   ...(1)

pass (3 , 12):   12 = a * b³       ab³ = 12   ...(2)

(2)/(1):   ab³/ab = b² = 12/48 = 1/4

b = 1/2 or b = - 1/2

a = 96  or a = -96

Answer:

(-4, 5),  (-3, 9),  (2, 9)

Step-by-step explanation:

Mathematics: Explain/define.

When you translate a figure, you are moving only changing the location of the figure.

(X-COORDINATE): LEFT - SUBTRACT / RIGHT - ADD

(Y-COORDINATE): DOWN - SUBTRACT / UP - ADD

                               ↓            

For example, in this problem, the figure must be translated 7 units left and 3 units up.

This means to subtract the x-coordinates from 7 and add the y-coordinates to 3. (x - 7, y + 3)

Mathematics: Solve.

Original coordinates:

(3, 2) → (-4, 5).

(4, 6) → (-3, 9).

(9, 6) → (2, 9).

Mathematics: Conclude.

Therefore the new coordinates are: (-4, 5),  (-3, 9),  and (2, 9).

Answer:

D

Step-by-step explanation:

sorry if incorrect

Answer:

The answer is A. Texas has one of the strongest and most diverse economies in the country.

Step-by-step explanation:

Texas is a densely populated state with numerous successful industries and businesses. It has many different cultures and ways of life. Texas has grown and adapted in order to succeed and not only remain stable and functioning, but also climb the ladder of achievement and keep its position (there). (Modern) Texas has a diverse economy that continues to thrive.

Answer:

Option B is true

Step-by-step explanation:

The formula for Cos is Adjacent/hypotenuse. 12 is Adjacent to angle e, and 17 is the hypotenuse.

Answer:

B: cos e = 12/17

Step-by-step explanation:

When using the SOHCAHTOA method you can see that Cos is adjacent over hypotenuse and in the triangle diagram they give you the measurements of the hypotenuse and the adjacent only, so you know that they would be using the cos equation.

Answer:

the first one

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The requried value of x in the triangle ABC is 4. Option B is correct.

In geometry, two figures are congruent if they have the same shape and size, and all their corresponding parts (sides, angles, and vertices) are congruent. Congruent figures can be moved, rotated, or reflected without changing their shape or size.

Since the given triangle ABC and EDF are congruent triangles,
So,
BC = EF
6x - 1 = 23
x = 4

Thus, the requried value of x in the triangle ABC is 4. Option B is correct.

Learn more about congruent geometry here. https://brainly.com/question/12413243

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Answer:

6 outcomes

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-3-9 +8

-12 + 8

= -4

Answer: 3, 6, 3, 6

Step-by-step explanation:

See what common factors they are able to be multiplied by

Hope this helps

Answer:

that is a right triangle.

Step-by-step explanation:

if you do not know, then the square on the corner means 90 degrees. which is a right angle. acute angle means less than that square, and obtuse means over the square. (less and over 90 degrees)  

Answer:

5 + 5 = 10

Step-by-step explanation: ok

Answer:

Total Perimeter of Triangle: 6.33 + 6 + 2= 14.33

Step-by-step explanation:

First of all, to find the perimeter of a triangle you need to know the measurements of all three sides. When you need to find the measurement of the slanted side, ( or hypotenuse), you need to use the Pythagorean Theorem.

[tex]a^2 + b^2 = c^2[/tex]

Then, we insert the numbers:

[tex]2^{2} + 6^{2} =c^2[/tex]

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

[tex]6^2[/tex] = 36

So, [tex]c^2[/tex] = 40 or [tex]40^2[/tex]

But wait, the number is is still squared, so the square root of 40, is 6.32455532. ( The number rounded is 6.33, or in tenths, 6.3 )

Finally, we add the measurements of all the sides on the triangle to find the perimeter, which is:

14.33 or 14.3

Answer:

C

Step-by-step explanation:

if you take 327+w=500 you would have to subtract 500-327 then you would get 173

Answer:

The answer would be C.

Step-by-step explanation:

Because 327+ 173 = 500

Answer:

60%

Step-by-step explanation:

I hopes this helps.

Answer:

The answer is 1.2 or 5

Step-by-step explanation:

Answer:

B,D,E

Step-by-step explanation:

Answer:

C, there are 4 groups of 5/12 on the numberline. They are jumping 4 times whilst each of those jumps are 5/12.

Answer:

255 - A

Step-by-step explanation:

81+31+15+34+39+13+22+20=255

Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

1/5 = 20%

20% x 3 = 60%