Tonya and Mario are asked to use a pan balance to find the mass of the same rock. Tonya finds the rock's mass to be 680 grams. Mario finds the rock's mass to be 672 grams. Which is the best explanation for the difference in their measurements?


A. Either Mario or Tonya measured the mass of the rock incorrectly on the pan balance.


B. The rock was cold when Tonya measured its mass and hot when Mario measured in mass.


C. The rock changed in size between the time Tonya measured it and the time Mario measured it.


D. The rock broke before Mario measured it. So the mass of the two pieces together was less than when Tonya measured it. PLEASEEEE HELPPP

Answer:

872

Step-by-step explanation:

89+90+79+92+80+94+86+91+82+89

Answer:

8

Step-by-step explanation:

I think it's the only reasonable one to choose that's my explanation

The Length of side AE= 18

Given :

A triangle ABE with the measure of sides .

Explanation :

Find out the measure of AE using similar triangles

From the given figure, Triangle ABE is similar to triangle CDE

When the triangles are similar then the sides are proportional

[tex]\frac{AB}{CD} =\frac{AE}{CE}[/tex]

We know that AB=15, CD=10, CE= 12

Substitute all the values and find out AE

[tex]\frac{AB}{CD} =\frac{AE}{CE}\\\frac{15}{10} =\frac{AE}{12}\\Cross \; multiply \\15(12)= AE(10)\\Divide \; both \; sides \; by \; 10\\\frac{15(12)}{10} =AE\\18=AE\\AE=18[/tex]

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Answer:

First option) √13 m

Step-by-step explanation:

Using the Pythagorean theorem. 2^2+3^2=c^2

4+9=c^2

13=c^2

c=3.61

3.61 meters

Answer:

36.008 or 36

Step-by-step explanation:

Use the equation for the length of any circular arc  

s = r(radians)  

s - length of a circular arc

r - radius  

radians - radian measure of the central angle  

Then, set-up the equation:  

s = r(radians)

70.7m = r(5pi/4)  

Get variable "r" on one side by multiplying both sides by 4/5pi, which should result in the following:  

r = 70.7m x 4/5pi  

then solve for r  

r = 282.8/5pi = 18.004  

The radius is half the diameter therefore just multiply the radius by 2  

d = 18.004 x 2  

= 36.008 or 36  

The diameter of the circle is 36 meters.

The arc is a portion of the circumference of a circle.

We have been given that an arc is 70.7 meters long and is intercepted by a central angle of 5π/4 radians.

We have to determine the diameter of the circle

For the length of the circular arc, use the equation.

⇒ 70.7 m = R(5π/4)  

Multiply both sides by 4/5π to get the variable "R" on one side, which should get the following:

⇒ R  = 70.7 m × 4/5π

⇒ R = 282.8/5π

∵ π = 3.14

⇒ R = 282.8/5(3.14)

⇒ R = 18.004  

Since the radius is equivalent to half the diameter, simply double the radius by 2.  

⇒ D = 18.004 × 2  

⇒ D = 36.008 ≈ 36  

Hence, the diameter of the circle is 36 meters.

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Answer:

C. log7 36....................................

The given logarithmic expressions together can be written as log₇ 36

The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.

Formulae for logarithmic function are,

LogAB = LogA + LogB

Logₐaᵇ = b

Given that,

= log₇(2 x 6) + log₇3

= log₇ 36

We have the result

log A + log B =  log AB

Here the question is log₇(2 x 6) + log₇3.

Using the property of logarithm we will get,

= log₇(2 x 6) + log₇3

= log₇(2 x 6 x 3)  

= log₇ 36

So,   log₇(2 x 6) + log₇3 = log₇ 36

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Answer:

D) triangle

Step-by-step answer:

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

A three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.

Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

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Answer:

y=−3x+4

Step-by-step explanation:

Step 1: Flip the equation.

−6x+8=2y

Step 2: Add -8 to both sides.

−6x+8+−8=2y+−8

−6x=2y−8

Step 3: Divide both sides by -6.

−6x −/6 = 2y−8 /−6

9514 1404 393

Answer:

  17.5

Step-by-step explanation:

The sum of the 5 numbers is 5·10 = 50.

The sum of the 15 numbers is 15·20 = 300.

The sum of all 20 numbers is then 50+300 = 350, so their mean is ...

  mean = sum/number = 350/20 = 17.5

The combined mean of the 20 numbers is 17.5.

Answer: 27%

Explantion:

1026/3800 =x/100

cross mulitply and get 102600 then divid both sides by 3800.  

Answer:

27

Step-by-step explanation:

r

Answer:

This doesnt make sense

Step-by-step explanation:

Answer:

2x/y ??

Step-by-step explanation:

Answer: If the sign missing is supposed to be a plus sign, then the answer is 12x+24y

Step-by-step explanation:

Answer:p5

65=8poi

Step-by-step explanation:

Answer:

Step-by-step explanation:

5. 3/4 +3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2

6. 16 x 3 x 1/8 = (48x 1)/8 = 48/8 = 6

7. 500 x 2/5 = 500 x 2 x 1/5 = (1000 x 1)/5 = 1000/5 = 200

Answer: Y = 21

Step-by-step explanation:

Answer:

The answer is 5 hours

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Probability of solving ten problems by Carl

Given

Total number of problems = 20

Number of problems studied by Carl = 15

Number of problems out of the 20 set of problem coming in test is 10

Case I - All ten problems come from the set of known 15 question

10/15 * 10/20 = 1/3

Answer:

Step-by-step explanation:

Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)

For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)

so I inferred that the y intercept is 25

The numbers that round to 387.4 when rounded to the nearest tenth are in the following interval.

387.35 <= x < 387.4

To round a number to the nearest tenth, we must observe the second decimal digit of the number:

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Answer:

(2 x a)+(3 x b)+c=total points

Step-by-step explanation:

Answer:

400 in²

Step-by-step explanation:

Consider the figure as a triangle on top of a parallelogram. The tic marks on the sides mean that the lengths with the same tic marks are equal.

The area of the parallelogram is 20×16=320

The area of the triangle is (20×8)/2= 80

Add the two areas: 320 + 80 = 400

Answer:

16 outcomes

Step-by-step explanation:

4 outcomes for spinner

2 outcomes for 1st coin

2 outcomes for 2nd coin

4 x 2 x 2 = 16

The answer is 23[tex]\sqrt{x} \pi[/tex].

Sorry that I didn't explain and made it short my annual examination is going on but I really wanted to help you.

Answer:

3 percent

Step-by-step explanation:

convert to seconds

960 seconds to 930 seconds

30 seconds ÷ 960=3 per cent

The percentage reduction in time is required.

The percentage reduction is [tex]3.125\%[/tex]

The initial value of time = 16 minutes

Final value of time = 15 minutes and 30 seconds = 15.5 minutes

Percentage reduction is given by

[tex]\dfrac{\text{Old value}-\text{New value}}{\text{Old value}}\times 100\\ =\dfrac{16-15.5}{16}\times100=3.125\%[/tex]

The percentage reduction is [tex]3.125\%[/tex]

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Answer:

quadrant 2

Step-by-step explanation:

top right is 1, top left is 2, bottom left is 3, and bottom right is 4

Answer:

change up to down the rest is right

Step-by-step explanation:

hope I helped!!