An astronaut visited Mars. His weight on Earth was 180 pounds, and his weight on Mars was only 72 pounds. He removed a rock with a weight of 16 pounds on Mars. What is the weight of the rock on Earth? a. 1.4 pounds c. 6.4 pounds b. 4 pounds d. 40 pounds Please select the best answer from the choices provided A B C D

Answers

Answer 1

Answer:

d. 40 pounds

Step-by-step explanation:

We know both weights of the astronaut, and we know one of the weight of the rock... we need to find the other weight of the rock (on Earth).

The easiest way to deal with those problems is to use a cross-multiplication.

We'll place on top the weights on Earth and as denominators the weights on Mars:

[tex]\frac{x}{16} = \frac{180}{72}[/tex]

So we isolate x = (16 * 180) / 72 = 2,880 / 72 = 40 pounds.

The rock then weights 40 pounds on Earth.


Related Questions

Which of the following is an obtuse triangle ?

Answers

Answer:

A. Triangle B

Step-by-step explanation:

Obtuse angles are greater than 90°, but less than 180°.

I am joyous to assist you anytime.

The obtuse triangle is B, the correct option is B.

Obtuse triangle;

A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called an obtuse-angled triangle.

In triangle B the obtuse angle or more than 90 degrees is 126 degrees.

In triangle A there is no angle greater the 90 degrees.

In triangle C there is no angle greater the 90 degrees.

In triangle D there is no angle greater the 90 degrees.

Hence, the obtuse triangle is B.

To know more about obtuse triangles click the link given below.

https://brainly.com/question/2617159

What is 3/4 plus 3/4 = measurement

Answers

Answer:

3/2

Step-by-step explanation:

3/4 plus 3/4 is   3/4 + 3/4 = 6/4, and this reduces to 3/2.

Answer:

1 1/2

Step-by-step explanation:

Adding the numerators, three and three, yields six. The resulting fraction is 6/4. The next step is simplifying this fraction. The numerator is greater than the denominator and this indicates that the answer is more than one. Therefore, the numerator is divided by the denominator, which equals one with a remainder of two. This remaining fractional part, 2/4, is simplified by dividing both numerator and denominator by the greatest common factor, which is 2. This becomes 1/2, for a final answer of 1 1/2.

What is the truth value for the following conditional statement? p: false q: true ∼q → ∼p

Answers

Answer:

p false

Step-by-step explanation:

Answer:

Truth value of ~p → ~q will be False.

Step-by-step explanation:

If the truth value of conditional statement p is false then the truth value of

~p will be True

If the truth value of other statement q is True then the truth value of ~q will be False

We know truth value of the implication of two conditional statements a → b is False only when a is true and b is false.

Therefore, ~p → ~q will be False.

PLEASE JUST CHECK IT OUT AND TRY YOUR BEST TO ANSWER. I WILL DEFINITELY AWARD BRAINLIEST :)

A family has a monthly budget of $4,500. The dad works full time and takes home $900 each week. The mom works part time and brings home $9 for every hour she works. How many hours per month must the mom work to make sure their family has their monthly budget?

Answers

The answer is a hundred hours a month

dad brings home 3,600 dollars so mom has to make 900 a month

Solve the equation 5|b+8|=30

Answers

Answer:

b = -2 or b = -14

Step-by-step explanation:

[tex]5|b+8|=30\qquad\text{divide both sides by 5}\\\\|b+8|=6\iff b+8=6\ or\ b+8=-6\qquad\text{subtract 8 from both sides}\\\\b=-2\ or\ b=-14[/tex]

Final answer:

To solve the equation 5|b+8|=30, we first isolate the absolute value by dividing by 5, then set up two separate equations for b + 8 = 6 and b + 8 = -6. Solving each gives us the solutions b = -2 and b = -14.

Explanation:

To solve the equation 5|b+8|=30, we will first divide both sides of the equation by 5 to isolate the absolute value expression.

So moving from the equation 5|b+8|=30, we get |b+8| = 6. This means that the expression inside the absolute value can be either positive 6 or negative 6.

We then write two separate equations to solve for the variable b:

b + 8 = 6b + 8 = -6

Solving the first equation, we subtract 8 from both sides to find that b = -2. Solving the second equation, we subtract 8 from both sides to find that b = -14.

Thus, the solution for the equation 5|b+8|=30 is b = -2 or b = -14.

Evaluate 3/2y - 3 + 5/3z when y=6 and z=3

Answers

Answer: 11

Step-by-step explanation:

3/2(6) - 3 + 5/3(3)= 11

tell whether the angles are complementary or supplementary. then find the value of x

Answers

Hello,

In Q5. Being a straight line the angles are supplementary to each other.

And x = 70°

In Q6.

The angles sum up to 90° , so 25x + 30° = 90

25x = 60°

x= 60°/25 = 2.4°

Hope this helps.

Answer:

see explanation

Step-by-step explanation:

5

x and 110 form a straight angle and are supplementary, thus

x + 110 = 180 ( subtract 110 from both sides )

x = 70

6.

25x and 30 form a right angle and are complementary, thus

25x + 30 = 90 ( subtract 30 from both sides )

25x = 60 ( divide both sides by 25 )

x = [tex]\frac{60}{25}[/tex] = [tex]\frac{12}{5}[/tex]

write an equation in slope-intercept form when the y-intercept is 0 and the slope is -4​

Answers

Answer: Y=mx+b

B is the y intercept and the slope is M

So the answer is Y= -4x+ 0

Step-by-step explanation:

Answer:

y = - 4x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 4 and c = 0, hence

y = - 4x ← is the equation of the line

The frequency of the musical note B4 is about 493.88 Hz.

What is the frequency of the note one octave above B4?


987.76 Hz


740.82 Hz


329.25 Hz


246.9 Hz

Answers

Answer:

987.76 Hz

Step-by-step explanation:

You have B4's frequency of 493.88 Hz and you want to know the frequency of the note one octave above B4.

When you go up an octave, you double the original frequency.  When you go down an octave, you divide the original frequency by two.

So, since B4's frequency is about 493.88 Hz, an octave above would be 2 x 493.88 Hz or 987.76 Hz

If we were looking for an octave below B4, we would divide 493.88 Hz by 2 to get 246.94 Hz.

Answer:

987.76 Hz

Step-by-step explanation:

493.88*2=987.76

took the test

How do I solve this question

Answers

Answer:

Part 1) [tex][(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)]=420,000[/tex]

Part 2) The variance is equal to [tex]Variance=70,000[/tex]

Part 3) [tex]Standard\ Deviation=265[/tex]

Step-by-step explanation:

step 1

Find the mean of the areas

we have

[tex][2,400,1,750,1,900,2,500,2,250,2,100][/tex]

To find the mean sum all the values and divide by the number of values

The number of values is 6

so

[tex][2,400+1,750+1,900+2,500+2,250+2,100]/6=2.150[/tex]

The Mean is [tex]2.150[/tex]

step 2

For each number subtract the Mean

[tex][(2,400-2,150),(1,750-2,150),(1,900-2,150),(2,500-2,150),(2,250-2,150),(2,100-2,150)][/tex]

[tex][(250),(-400),(-250),(350),(100),(-50)][/tex]

step 3

Find the Variance

To calculate the Variance, take each difference, square it, and then average the result

[tex][(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)]=420,000[/tex]

[tex]Variance=420,000/6=70,000[/tex]

step 4

Find the standard deviation

The Standard Deviation is just the square root of Variance

so

[tex]Standard\ Deviation=\sqrt{70,000} =265[/tex]

2+14a=-8+9a

-2

-10

5

3

Answers

Answer:

-2

Step-by-step explanation:

2+14a=-8+9a

-9a          -9a

2+5a= -8

+8      +8

10+5a=0

-10      -10

5a= -10

-10/5a   =-2

A sweater is marked down 35% off the original price. The original price was $40. What is the sale price of the sweater before sales tax?

Answers

Answer: $26

$40*.35=$14 off price of sweater

40-14=$26 sale price

Or

$40*.65=$26 sale price

Answer:

The correct answer is $26.

Step-by-step explanation:

Well, we must first analyze the information we have.

We have a sweater that was marked down 35% off.

We know that the original price of the sweater is $ 40. Now we just have to find out the final price.

But to know that, we must first know what the discount was applied.

And we find out as follows:

[tex]Tax= 40 . 0,35[/tex]

[tex]Tax= 14[/tex]

In this way we show that the price discounted to the sweater was $ 14

Now we just have to make a subtraction between the original price and the discount :

40-14=26

The final price of the sweater is $ 26

What graph represents a reflection of abc over the line x=0

Answers

Answer: D

Step-by-step explanation: APEX

Answer:

The correct option is D)

Step-by-step explanation:

line x = 0 is y-axis (vertical line)

When graph is reflected along y-axis so, it will be in second quadrant.

so, the graph which satisfying these condition is only option D)

in which c ordinate are A has (-1,1) ,B has (-4,1) and C has (-3,3)

Hence, the correct option is D)

the 7 represents how many times the value of the 7 in 78

Answers

Answer: 11 times

Step-by-step explanation:

A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose . this table shows the results .
A person is randomly selected from those surveyed
Are being a student and preferring “shark” independent events ? Why or why not ?

Answers

The true statement about the events is (b) No, they are not independent because P(student)= 0.87 and P(student/shark)=0.95

How to determine the true statement?

Two events A and B are independent if

P(A∣B) = P(A)

Using the data entries in the table, we have:

P(Student) = 100/115

P(Student) = 0.87

Also, we have:

P(Student | Shark) = 90/95

P(Student | Shark) = 0.95

The probability values are not equal

i.e.

P(Student) ≠ P(Student | Shark)

Hence, the events A and B are not independent events because P(student)= 0.87 and P(student/shark)=0.95

Read more about probability at:

brainly.com/question/251701

#SPJ2

13 divide 32,708 what is the answer

Answers

Answer:

0.00039745627

13 / 32708 is 0.004

I got this answer by using Long Division.

Hope this helps

the graph below has the same shape. what is the equation of the graph?

Answers

C; A and B are incorrect because the shift is not vertical, it is horizontal. This is because 3 is in parenthesis or a 'grouping' (same thing if it is in an exponent) and is being modified. Since the graph is being translated down 3 units, D is incorrect since it is a translation up 3 units. The answer is C.

Which is equal to the expression below?
(x-3x)+(3x-5x)+(5x-7x)+...+(23x- 25x)

A.
-26x
B.
-24x
C.
24x
D.
26x

Answers

-24x. This is an example of a "telescoping series". If you notice, the last and first part of each term cancel out. Take away the parenthesis and you'll see it. x-3x+3x-5x+5x-7x+7x... everything goes away except x-25x so it's -24x.

A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?

a triangle that has the same dimensions as either base of the prism
a triangle that does not necessarily have the same dimensions as either base of the prism
a parallelogram that is not a rectangle
a rectangle

Answers

Answer:

The answer is a rectangle.

Step-by-step explanation:

A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?

The answer is rectangle. If the base is a rectangle and we slice it parallel to the base in the same direction as the base, we will get smaller and smaller rectangles with each slice.

This can be clear with the picture attached. If we slice parallel to rectangular base, the cross section will be a rectangle.

Which expression simplifies 2/5 ? A) (-1/10)-(-1/2) B) (-1/10)+(-1/2) C) (-1/10)×(-1/2) D) (-1/10)÷(-1/2)

Answers

[tex]\bf -\cfrac{1}{10}-\left( -\cfrac{1}{2} \right)\implies -\cfrac{1}{10}+\cfrac{1}{2}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{-(1)1~~+~~(5)1}{10}}\implies \cfrac{-1+5}{10} \\\\\\ \cfrac{4}{10}\implies \stackrel{simplified}{\cfrac{2}{5}}[/tex]

Find the slope of the line through (2, -3) and (-4, 3).

-1
0
1

Answers

ANSWER

-1

EXPLANATION

The slope formula is given by

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

The slope of the line through (2, -3) and (-4, 3) is found by substituting the points into the above formula;

[tex]m = \frac{ - 3 - 3}{2 - - 4} [/tex]

This simplifies to

[tex]m = \frac{ - 6}{ 6} = - 1[/tex]

The slope is -1

Answer:

-1

Step-by-step explanation:

The slope of a line is the ratio of its change in rise to its change in run. In the -xy-plane, this is the same as the ratio of the change in y coordinate to the change in x coordinate. In notation, we write this as

[tex]\frac{\Delta y}{\Delta x}[/tex]

and calculate it by finding the difference between y coordinates and dividing it by the difference between x coordinates. Here, our y coordinates are 3 and -3, and our x coordinates are -4 and 2, so our slope would be

[tex]\frac{3-(-3)}{-4-2}=\frac{3+3}{-6}=\frac{6}{-6}=-1[/tex]

WILL GIVE BRAINLIEST

Which describes a uniform probability model?
A) flipping a coin and rolling a six sided die
B) selecting a ball from 2 baseballs and 3 softballs
C) the number of heads and tails from flipping two coins
D) a spinner with five equal sections: 2 blue, 2 red, 1 yellow

Thank You! :)

Answers

Answer:

A

Step-by-step explanation:

sorry just a little confused

Answer:

A) Flipping a coin and rolling a six sided dice.

Step-by-step explanation:

Lets use a process of elimination in order to find the correct answer.

We are looking for a uniform probability model. This means that every outcome in this situation has the same chance of occurring.

D) This cannot be the right answer as the chances of probability are [tex]\frac{2}{5} ,\frac{2}{5} ,\frac{1}{5}[/tex]

As these are not all equal, this cannot be the right answer.

B) This cannot be the right answer as the chances of probability are [tex]\frac{2}{5} ,\frac{3}{5}[/tex]

As these are not equal, this cannot be the right answer.

C) Lets look at every outcome that could occur in this situation.

You could have 2H, 2T, HT, and TH. As HT and TH are the same, their probability can be written together.

This means that the probabilities would be

[tex]\frac{1}{4} ,\frac{1}{4} ,\frac{1}{2}[/tex]

This means that A must be the correct answer as we have ruled out every other option.

PLEASE IM DESPERATE
BRAINLIEST+THANKS***

Answers

ANSWER

Option B

and

Option D.

EXPLANATION

The graph of the function has an amplitude of 2 and a period of

[tex] \frac{2\pi}{3} [/tex]

Choose all the equation that has an amplitude of 2 and a period of

[tex]\frac{2\pi}{3} [/tex]

These are:

[tex]y = 2 \sin3(x - \frac{2\pi}{3} ) [/tex]

and

[tex]y = 2 \sin(3x) [/tex]

The second and the last options are correct.

B and D are the correct answers

The price of a digital camera was reduces from $350 to $280 by what percentage was the price of the digital camera reduced?

Answers

Answer:

20%

Step-by-step explanation:

First: work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

350-280= 70

Then: divide decrease by original number & multiply the answer by 100.

70/350= .2

.2*100= 20

Percentage Reduced = 20%

% Decrease = Decrease ÷ Original Number × 100

Help please what is the answer?

Answers

Answer:

C) 5.6

Step-by-step explanation:

AC = sqrt(11^2 + 2^2) = sqrt(125)

(1/2)AC = (1/2)sqrt(125)

(1/2)AC = 5.6

Answer: C) 5.6

Answer:

C, 5.6

Step-by-step explanation:

A midsegment is half of the side it is parallel to. This means that it is half of BC. They give us the coordinates for B and C so we can just use the distance formula (the square root of the change in x squared plus the change in y squared)

If you simplify it, you get root 125 which is about 11.2. 11.2 divided by 2 is 5.6, so your answer would be C.

The function rule is y=2x-1. If the input is 3 what is the output. I need help it important please someone help

Answers

Answer:

The output is 5

Step-by-step explanation:

we have

[tex]y=2x-1[/tex]

In this linear equation the input is the variable x and the output is the variable y

so

If the input is 3

That means ------> x=3

substitute the value of x in the equation and find the value of y (output)

[tex]y=2(3)-1=5[/tex]

The volume of a cube depends on the length of its sides. This can be written
in function notation as v(s). What is the best interpretation of v(4)= 64?

A. 4 sides of the cube have a total length of 64 feet.

B. A cube with side lengths of 4 feet has a volume of 64 cubic feet.

C. A cube with a volume of 4 cubic feet has side lengths of 64 feet.

D. 4 of these cubes will have a total volume of 64 cubic feet.

Answers

Answer: B. A cube with side lengths of 4 feet has a volume of 64 cubic feet.

Step-by-step explanation:

We know that the volume of a cube is the cube of the side-length.

Given : The volume of a cube can be written  in function notation as v(s).

The formula to find the volume of cube having sides as 's' will be :-

[tex]\text{V(s)}=s^3[/tex]

Then, the expression [tex]v(4)= 64[/tex], represents that for side =4 units , the volume of cube is 64 cubic units.

Hence for unit = feet , it represents that  A cube with side lengths of 4 feet has a volume of 64 cubic feet.

Lola measures three buttons for a shirt she’s making. One button is 1/8, 3/8 and 1/4 inch. The button hole is 2/6 of an inch. Which will fit ? Explain

Answers

Answer:

3/8

Step-by-step explanation:

That's the only one bigger than 2/6, any smaller will fall out as it's a button. You'd twist it sort of in half to get it in the hole, therefore, 3/8 is the only button that will fit.

I'm not sure if this is correct but this is how I'd go about it :)

Solve the equation. y-6/y =5

Answers

Answer:

-3/2

Step-by-step explanation:

multiply both sides by y:

y-6 = 5y

subtract y from both sides:

-6 = 4y

divide both sides by 4:

-6/4 = y

y = -3/2

Answer:

[tex]\frac{y-6}{y}=5\quad :\quad y=-\frac{3}{2}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}y\\\frac{y-6}{y}y=5y\\\mathrm{Simplify\:}\frac{y-6}{y}y:\quad y-6\\y-6=5y\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\y-6+6=5y+6\\y=5y+6\\\mathrm{Subtract\:}5y\mathrm{\:from\:both\:sides}\\y-5y=5y+6-5y\\-4y=6\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4y}{-4}=\frac{6}{-4}\\y=-\frac{3}{2}[/tex]

OR

[tex]y-\frac{6}{y}=5\quad :\quad y=6,\:y=-1[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}y\\yy-\frac{6}{y}y=5y\\y^2-6=5y\\\mathrm{Solve\:}\:y^2-6=5y:\quad y=6,\:y=-1[/tex]

Hope this helps!!!!

Martin can run 1 mile in 7 minutes. What proportions can be written from this information?

Answers

Answer:

[tex]\frac{1}{7}=\frac{3}{21}[/tex]

[tex]\frac{7}{1}=\frac{21}{3}[/tex]

Step-by-step explanation:

Verify each case

case 1) [tex]\frac{1}{7}=\frac{3}{21}[/tex]

Multiply in cross and then compare both sides

[tex]1*21=7*3[/tex]

[tex]21=21[/tex] ----> is true

therefore

Is a valid proportion

case 2) [tex]\frac{1}{21}=\frac{3}{7}[/tex]

Multiply in cross and then compare both sides

[tex]7*1=21*3[/tex]

[tex]7=63[/tex] ----> is not true

therefore

Is not a valid proportion

case 3) [tex]\frac{7}{1}=\frac{3}{21}[/tex]

Multiply in cross and then compare both sides

[tex]21*7=1*3[/tex]

[tex]147=3[/tex] ----> is not true

therefore

Is not a valid proportion

case 4) [tex]\frac{7}{1}=\frac{21}{3}[/tex]

Multiply in cross and then compare both sides

[tex]3*7=1*21[/tex]

[tex]21=21[/tex] ----> is true

therefore

Is a valid proportion

case 5) [tex]\frac{1}{7}=\frac{21}{3}[/tex]

Multiply in cross and then compare both sides

[tex]3*1=7*21[/tex]

[tex]3=147[/tex] ----> is not true

therefore

Is not a valid proportion

Answer:

a and d

Step-by-step explanation:

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