You and your friend collect each rocks and fossils. your friend collects three times as many rocks and half as many fossils as you. you collect 20 objects. your friend collects 20 objects. how many rocks andhow many fossils do you each collect. PLEASE ANSWER FAST! I DONT WANNA FAIL!!

Answers

Answer 1

Answer:

you - 4 rocks and 16 fossilsfriend - 12 rocks and 8 fossils

Step-by-step explanation:

Let the rock be r and the fossil be f

Equations

You: r + f = 20Friend: 3r + 1/2f = 20

Double the second equation and subtract the first one:

2(3r + 1/2f) - (r - f) = 2*20 - 206r - r = 205r = 20r = 4

Then find f:

f = 20 - 4 = 16

So you collect 4 rocks and 16 fossils

Friend collects:

4*3 = 12 rocks and 1/2*16 = 8 fossils

Related Questions

Here is a number machine.

Answers

Answer:

The output is 3n + 6

Step-by-step explanation:

You have to apply all of the steps in order:

Since we cannot simplify n+2, we have to write it as (n+2). Next, since we do the next step, multiply by 3. This would be 3(n+2), and if you apply the distributive property (multiply), you would get 3 * n + 2 * 3, or 3n + 6.

Answer: 3n + 6

hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm

Answers

Answer:

[tex]R(x,y) = (0.8,-1.2)[/tex]

Step-by-step explanation:

The coordinates of QS are:

[tex]Q(x_1,y_1) = (-2,-6)[/tex]

[tex]S(x_2,y_2) = (5,6)[/tex]

The ratio is represented as:

[tex]R_{m:n} = 2:3[/tex]

Required

Find the coordinates of R

The coordinates of R is calculated by:

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Substitute values for m, n, x's and y's

[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]

[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]

[tex]R(x,y) = (0.8,-1.2)[/tex]

None of the options is correct

the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)​

Answers

Answer:

h = 14.5 ft

Step-by-step explanation:

Apply trigonometric ratio formula to find h:

reference angle = 46°

Opposite side = h

Adjacent side = 14 ft

Thus:

Tan 46 = h/14

Multiply both sides by 14

14*tan 46 = h

h = 14.4974243

h = 14.5 (nearest tenth)

?????????????????????????????

Answers

Answer:

73°

Step-by-step explanation:

Angles on a straight line add up to 180°

angle ABC= 180-146= 34°

Angles in a traingle add up to 180°

180-34= 146°

y= 146÷2= 73°

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Answer:

Option D (73°)

Step-by-step explanation:

According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.

So, according to the question -

[tex]y + y = 146[/tex]

[tex] = > 2y = 146[/tex]

[tex] = > y = \frac{146}{2} = 73[/tex]

The line L passes through the points (0, –2) and (6, 1).

Find an equation of the line L.

Answers

The equation for line L is, y=-1/6x+2

Answer:

an equation of the line L will be: y = 1/2x - 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given the points

(0, -2)(6, 1)

Determining the slope between (0, -2) and (6, 1)

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

[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]

[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]

[tex]m=\frac{1}{2}[/tex]

The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the point (0, -2), we can determine that at x = 0, the value of y = -2.

Thus,

The y-intercept b = -2

now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation

y = mx+b

y = 1/2x + -2

y = 1/2x - 2

Therefore, an equation of the line L will be: y = 1/2x - 2

Calculate the volume of the following shape.
8cm

20cm

Answers

Answer:

Volume of Cylinder =

[tex]\pi {r}^{2} h[/tex]

So :

Step-by-step explanation:

[tex]volume = 3.14 \times ( {8}^{2} ) \times 20 = 3.14 \times 64 \times 20 = 4019.2[/tex]

Answer:

Volume = 4021.24 cm ^3

Step-by-step explanation:

V = πr2h = π·82·20 = 4021.2386 cm ^3

In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.

Answers

Answer:

Step-by-step explanation:

Answer:

a). m∠a = 62°

b). m∠b = 118°

Step-by-step explanation:

a). Since, an angle inscribed in a semicircle is a right angle,

  m∠ACB = 90°

  By triangle sum theorem in ΔABC,

  m∠CAB + m∠ACB + m∠ABC = 180°

  28° + 90° + m∠ABC = 180°

  118° + m∠ABC = 180°

  m∠ABC = 180°- 118°

  a = 62°

b). Since, quadrilateral ABCD is a cyclic quadrilateral,

   m∠ADC + m∠ABC = 180°

   b + a = 180°

   b + 62° = 180°

   b = 180° - 62°

   b = 118°

10.8 as a fraction please answer

Answers

Answer:

1 2/8 or 10/8

Answer: 54/5

Step-by-step explanation:

Find the sum or difference:

(2w - 9) + (-4w - 5)

(6d + 5) - (2 - 3d)

(4 - 5y) - (2y - 16)

Answers

Answer:

-2w+-14

3d+3

-7y+-16

Step-by-step explanation:

Remove ()-     2w+-9+-4w+-5

2w+-4w = -2w

-9+-5 = -14

-2w+-14

Remove ()-    6d+5+-2+-3d

6d+-3d = 3d

5+-2 = 3

3d+3

Remove ()-   4+-5y+-2y+-16

-5y+-2y = -7y

4+-16 = -12

-7y+-12

Which function shows a fabric with a price of $1.25 per square yard?

Answers

Answer:

D

Step-by-step explanation:

The Ferrer family is taking a vacation. During their vacation they will drive a total of 686 miles per hour. Which equation best describes how many, m, miles are left after driving, h, hours?

Answers

Answer:
Divide for H
Step-by-step explanation:
H=10.5538462

SOLVE FOR X, EXPLAIN PLEASE URGENT.

Answers

3x-3=27
-3=-3
3x=24
3x/3=24/3
X=8

Times it by 6 and take away 10 and the result is 44

Answers

Answer:

(for your second question) 23.69

Step-by-step explanation:

Write the equation of the function on the graph.​

Answers

Answer:

[tex] \huge \boxed {y = |x| + 3}[/tex]

Step-by-step explanation:

Similar to Parabola, except this is Modulus Function.

[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]

From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.

Both slopes are also 1 (from rise/run)

Hence, the answer is

[tex]y = |x| + 3[/tex]

7. Find the area of a rectangle if has a length the size of (x - 7) and a width the size of
(5x + 3).

Answers

Answer:

Area of a rectangle (A)= length(l) *Width(w)

l=(x-7)

w=(5x+3)

:. A= (x-7)(5x+3)

=5x(x-7)+3(x-7)

A=5x^2-35x+3x-21

A=5x^2 -32x -21

The area is in algebraic expression

Step-by-step explanation:

Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.

Answers

Answer:

4x + 6 feet

Step-by-step explanation:

The deck is the shape of a rectangle

Hence, the perimeter of a rectangle is:

P = 2L + 2W

Where

L = Length = x feet

The width of the deck was 3 feet longer than the length.

W = Width = 3 + x feet

Hence:

Perimeter = 2(x ) + 2(3 + x)

Perimeter = 2x + 6 + 2x

Perimeter = 4x + 6 feet

Hence, the expression for the Perimeter of the deck is given as:

4x + 6 feet

3x + 2z - 4y - 6 + 4z + 7y


x = 2, y = 1, z = -3

plz help me with this. this is a substitution question. plz show all steps to this question. Thank You!

Answers

Answer:

3x(2z+4z)+(−4y+7y)−6

Step-by-step explanation:

1 Collect like terms.

3x+(2z+4z)+(−4y+7y)−6

2 Simplify.

3x+(2z+4z)+(−4y+7y)−6

3x+6z+3y−6

3h+5 when h =4 23 points

Answers

Answer:

3*4= 12 12+5=17

Step-by-step explanation:

hav a great day :P

Answer:

17

Step-by-step explanation:

3h + 5    h=4

plug in 4 for h

3(4) + 5

12 + 5

17

Hope this Helps!!!

h(n) = 3^n+3; Find h (3n)

Answers

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

h(3n) = 3 ^3n + 3

Hope it will help :)

y = –2x2 + 8x - 3
help :c

Answers

Answer:

8x-7

Step-by-step explanation:

-4+8x-3

8x-4-3

8x-7

Help foR 100 pointttttttt

Answers

Answer:

nothing is here you'd have to put something to see if people can help

Answer:

ye

Step-by-step explanation:

Name two planes that intersect in SW in the
figure to the right

Answers

Plane XTS and Plane VRS

A option

annyone wanna help 9x-14=22

Answers

Answer:

4

Step-by-step explanation:

Answer to question is: X=4

A bag contains 5 red marbles, 3 green marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 50 times. What is a reasonable prediction for the number of times a red or green marble will be drawn? a. 5 b. 40 c. 8 d. 20

Answers

Answer:

i think option b is correct

Step-by-step explanation:

Solve for p.
p - 879 = -284
p =

Answers

The answer is 595 ooookkkkkk

if the mean of 6 7 13 and 10 is 8 find rangeif the mean of 67 13 and 10 is 8 find range ​

Answers

Answer:

The range is: 7

Step-by-step explanation:

Given the data set

6, 7, 13, 10

Sorting in ascending order

6, 7, 10, 13

We know that the range is the difference between the highest and lowest values in a set of numbers.

Here:

Highest Value = 13Lowest Value = 6

Thus,

Range = Highest Value - Lowest Value

           = 13 - 6

           = 7

Therefore, the range is: 7

H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.

Answers

Answer:

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]

Dividing both sides by 8,

[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.

hi, can you please do these? thanks for helping!​

Answers

Answer:

i will answer you other if u rate me brainliest

Answer: (A) 1/10: 5 9/10 :5/6

(B) 3 3/4: -2 7/50

(C) 8 5/8 : 4/9

(D)2 2/5: 2 67/210: -2 2/3

(E)-1 1/2 : 81/128

Step-by-step explanation:

hopes this helps

20b<300 solve the inequality and graph the solution

Answers

Answer: b<15

Step-by-step explanation: Divide each term by

20 and simplify inequality form: b<15

A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days

Answers

9514 1404 393

Answer:

  60 inches

Step-by-step explanation:

The total amount of rain received was ...

  (2 in/day)(3 day) = 6 in

The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...

  (6 in rain) × (10 in snow)/(1 in rain) = 60 in snow

The city would have received 60 inches of snow.

Other Questions
Read the sentence below and answer the following question:During the whole of a dull, dark, and soundless day in the autumn of the year, when the clouds hung oppressively low in the heavens, I had been passing alone, on horseback, through a singularly dreary tract of country, and at length found myself, as the shades of the evening drew on, within view of the melancholy House of Usher.Poe, "The Fall of the House of Usher"What is the benefit of using "I found myself" rather than a more direct syntax? a.It suggests a magical element to the story.b.It suggests the narrator is lost quite frequently.c.It suggests the narrator traveled without thinking of the time.d.It suggests the narrator is terribly angry with someone. Is yellow journalism all right if some reform is the end result? What is the atomic number of silicon Which of the following statements is true?a.Repetition can help the audience remember what you have said.b.Restating information in your speeches will bore your audience.c.Using repetition and restating ideas is considered inappropriate in most speeches.d.Repetition is a cliche that ought to be avoided during speeches.Please select the best answer from the choices providedABCD What the correct answer which of the following is equivalent to x(y-z)? -2x-yz-zxy-xzHELP THIS IS DUE IN 10 MINUTES Find yRound to the nearest tenth:27350 ft Use the graph to the right to write an equation of the line.The equation is(Simplify your answer. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation.) PLEASE HELP ABC is similar to XYZ. Find the unknown measures. can you help stuck on this question for a while I dont understand help PLZZZ Help me out please an thank you 10. Men who passed the civil service exams, created a new class in thesociety calledA Neo-ConfucianistsB Neo-BuddhistsC Scholar-officialsC Scholasticists butter is made by intentionally changing the density of the milk. Try to find out how this change is made and describe it briefly. Explain these changes using particle theoryPLS HELP I RLY NEED IT :) 1. Which limiting factor impacted the cricket frog population the least? Use evidence to support your answer.2. Mosquitoes can carry and transmit disease to animals and humans. Explain how the cricket frog plays an important role in limiting the spread of mosquito-borne illnesses like West Nile virus and malaria.Predict the long-term effects of these limiting factors on the cricket frog population in the pond ecosystem. Which of the following statements correctly compares the rate of change for the money earned,measured as dollars per delivery, between 2 and 4 deliveries and 6 and 8 deliveries?A. The rate of change is the same between the two time intervals.B. The rate of change is larger between 2 and 4 deliveries than 6 to 8 deliveries.C. The rate of change is smaller between 2 and 4 deliveries than 6 to 8 deliveries.D. The rate of change is a positive value between 2 and 4 deliveries and anegative value between 6 and 8 deliveries. Why is winning this fight important for Tom King? Does anybody know the answer to this question? Ulio is running in a 13.1-mile race. There are water stops every 2.75 miles along the route from the beginning of the race. What is the distance between the last water stop and the end of the race? Enter your answer in the box. what is the mole fraction of cation in 1M of aluminium sulphate