Sammy's Chipmunk & Squirrel Observations
For a science project, Sammy observed a chipmunk and a squirrel stashing
acorns in holes. The chipmunk hid 3 acorns in each of the holes it dug. The
squirrel hid 4 acorns in each of the holes it dug. They each hid the same number
of acorns, although the squirrel needed 4 fewer holes. How many acorns did the
chipmunk hide?

Answers

Answer 1

Answer:12 accorns

Step-by-step explanation:

Answer 2

If they each hid the same number of acorns, although the squirrel needed 4 fewer holes, the chipmunk hid 3 acorns in each hole

Let's assume the number of holes the chipmunk dug is 'c', and the number of acorns it hid in each hole is 'x'. Similarly, let's assume the number of holes the squirrel dug is 's', and the number of acorns it hid in each hole is 'y'.

According to the information provided, the chipmunk hid 3 acorns in each of the holes it dug, so x = 3. The squirrel hid 4 acorns in each of the holes it dug, so y = 4.

Both the chipmunk and squirrel hid the same number of acorns, so cx = sy.

Also, the squirrel needed 4 fewer holes, so s = c - 4.

Now, we can use the information to set up a system of equations:

cx = sy

c - 4 = s

Substitute the value of s from the second equation into the first equation:

c(c - 4) = 3(c - 4)

Expand the equation:

c² - 4c = 3c - 12

Now, bring all terms to one side of the equation:

c² - 4c - 3c + 12 = 0

Combine like terms:

c² - 7c + 12 = 0

Now, factor the quadratic equation:

(c - 3)(c - 4) = 0

Now, set each factor to zero and solve for 'c':

c - 3 = 0 => c = 3

c - 4 = 0 => c = 4

Since the chipmunk hid 3 acorns in each hole, the correct answer is The chipmunk hid 3 acorns.

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Related Questions

Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=

11

Answers

Answer:

-8

Step-by-step explanation:

Pluck in the values:

P = 3 + (-11)

P = 3 - 11 = -8

Which is an equation of the line through (0,0) and (-3,-7)?

O A. y=-7x

O B. y= 2

O C. y = 2

O D. y=-3x

Answers

Answer:

y=7/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-0)/(-3-0)

m=-7/-3

m=7/3

y-y1=m(x-x1)

y-0=7/3(x-0)

y=7/3(x)

y=7/3x

Equation of the line through (0,0) and (-3,-7) is y=7/3x

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the equation of the line through (0,0) and (-3,-7)

m=-7/-3=7/3

Now let us find the y intercept

-7=7/3(-3)+b

b=0

So the equation is y=7/3x

Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x

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Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.​

Answers

Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.

(x+2) (x+10) - (x-5) (x+4).put value of x= -3

(-3+2) (-3+10) - (-3-5) (-3+4).-1 x 7 -(-8) x 1(-7) -(-8)-7+81

Answer:

the result is -9

Hope this helps

Please mark brainlest

Trigonometry I need help please

Answers

Answer:

10.7°

Step-by-step explanation:

SOH CAH TOA

Tan(BCA) = x/y

= 4/21

BCA= Tan`¹(4/21)

= 10.7856

to 3SF = 10.7°

5 x (3+H) = 15+45. What is H?

Answers

Answer:

9

Step-by-step explanation:

5 x 3 = 15  and 5 x H = 45

45 / 5 = 9

For n = 10 and 1 = 0.59, what is P(X = 8)?
P(X = 8) =
(Round to four decimal places as needed.)

Answers

nCx⋅px⋅(1−p)n−x

llllllllllllllllllllllllllllllllllllll

Tyrone works in a grocery store and he puts boxes on shelves. There are 4 shelves in the cereal section of the store. All shelves hold the same number of boxes of cereal. If there are 80 boxes of cereal on the shelves, how many boxes are on each shelf? In complete sentence

Answers

Answer:

Each shelf can hold 20 boxes of cereal.

Step-by-step explanation:

Start with 80 boxes of cereal: (80)

There are 4 shelves for each box of cereal: (x/4)

Thus, we get the expression: 80/4=

(You may want to simplify this; giving you the answer of 20.)

40 pts! PLEASE HELP FAST WILL MARK BRAINLIEST
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x).
X
f(x) = 2.5x – 10.5
g(x) = 64(0.5x)
2
3
4
5

Answers

Answer:

f(2) = 2.5×2-10.5

=5-10.5

=-5.5

g(2) = 64(0.5×2)

= 64×1

=64

f(3)=2.5×3-10.5

=7.5-10.5

=-3

g(3)=64(0.5×3)

=64×1.5

=96

f(4)=2.5×4-10.5

=10-10.5

=-500

g(4)=64(0.5×4)

=64×2

=128

f(5)=2.5×5-10.5

=12.5-10.5

=2

g(5)=64(0.5×5)

=64×2.5

=150

I think it is the processs It will help you

Help please!
Solve for x​

Answers

Answer:

x=5

Step-by-step explanation:

what is cubic spline?​

Answers

Answer:

Here is your answer

Step-by-step explanation:

A cubic spline is a spline constructed of piecewise third order polynomials which pass through a set of control points. The second derivative of each polynomial is commonly set to zero at the endpoints since this provides a boundary condition that completes the system of equations.

Answer:

A cubic spline is a spline constructed of piecewise third-order polynomials in which pass through a set of control points. __________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Solve for q using both equation 1 and 2 question in pic

Answers

Answer:

p=1/8     q=3/4

Step-by-step explanation:

-2p+7q=5

-6p+35q=51/2

cancel out a variable

(-5)(-2p+7q=5)

-6p+35q=51/2

10p-35q=-25

-6p+35q=51/2  =

4p=1/2

4p/4=1/2  /4

p=1/8

substitute p=1/8 into one of the equation to find q

-2p+7q=5

-2(1/8)+7q=5

-1/4+7q=5

7q=5+1/4

7q=21/4

q= 21/4  /7

q=3/4

Suppose that the market price for a bottle of vitamins is $1.61 and that at that price the total market quantity demanded is
255,340,000 bottles. How many firms will there be in this industry?
firm(s)

Answers

Answer:

255,340,000(1.61)= $411097400

Step-by-step explanation:

multiply the total amount of bottles by $1.61, since it costs $1.61 per bottle.

Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

51

Step-by-step explanation:

if there isn't such an answer tell me so that I can try again.goodbye

SOMEBODY HELP NO LINKS PLZ AND THANK YOU


given the table below which function shos an exponential function


table

x f(x) g(x) h(x)
1 64 65 5

2 32 54 7

3 16 43 10

4 8 32 14


A f(x)

B g(x)

C h (x)

D none of the above

Answers

f(x) is showing the exponential function 2^(7-x)

Triangle A'B'C' is a reflection of triangle ABC across line BC. Prove that ray BC is the angle bisector of angle ABA'.​

Answers

Answer is below in the picture:-

(From the problem, we know (triangle)ABC (round of equal of) (triangle)A'B'C'. So, <A'B'C' = <ABC {the properties of congruent triangles}. So, ray BC is the angle, bisector of angle ABA')

I hope it helps.

It is proved that the ray BC is the angle bisector of angle ABA'.

What are angle bisectors?

Angle bisectors are lines who bisect the considered angle. Bisect refers to splitting in two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if it in a mirror.

We will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

From the given problem, we know Triangle A'B'C' is a reflection of triangle ABC across line BC.

Therefore, <A'B'C' = <ABC

By the properties of congruent triangles. Means if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Hence, the ray BC is the angle, bisector of angle ABA'.

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help plzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

ang hirap naman plss answee

Which function has a greater rate of change?

Answers

Answer:

Function A

Step-by-step explanation:

In function A as x increases by 1, y increases by 5.

In function B there is a slope of -4.5 which means as x increases by 1, y increases by -4.5.

Rate of change of 5 is greater than a rate of change of -4.5.

find three solutions for 9x - 2y = 18​

Answers

Answer:

[tex](x,y) = \left(5,\dfrac{27}2 \right), \left(0,-9), \left(9, -\dfrac 92 \right)[/tex]

Step-by-step explanation:

3* what =1 because I'm genuinely unsure

Answers

Answer:

0.3 recurring so 0.33333333333333333333333333333333333333

and....

__________________________________________________________

How to Overcome Insecurity

Step 1

The first step of Voice Therapy involves vocalizing your self-critical thoughts in the second person.You can also write down these thoughts.

Step 2

In the second step, you can start to think and talk about the insights and reactions you have to exposing these mean thoughts.

Step 3

People often struggle with the third step of this process, because it involves standing up to long-held beliefs and insecurities about oneself. You will answer back to your voice attacks, expressing your real point of view.

Step 4

In step five of Voice Therapy, you start to make a connection between how the voice attacks are influencing your present-day behaviors.

Step 5

The final step involves making a plan to change these behaviors. If insecurity is keeping you from asking someone on a date or going after a promotion, it’s time to do the actions anyway. If you’re indulging in self-hating thoughts that encourage you to engage in self-destructive behaviors, it’s time to interrupt these behaviors and unleash the real you.

Hope it help and if it did please give brainliest

Stay safe and healthy

Thank You

I need help with this!!!!

Answers

Answer:

246b  

Step-by-step explanation: i did this

Which point represents the outlier

Answers

Answer:An outlier is any data point that falls above the 3rd quartile and below the first quartile. The inter-quartile range is and . The lower bound would be and the upper bound would be . The only possible answer outside of this range is .

Step-by-step explanation:

Answer: Select the correct answer.

Which point represents the outlier?

(3, 13)

Step-by-step explanation:

A. (2, 3)

B. (4, 5)

C. (3, 13)

D. (8, 9)

The front lawn of NPHS has a roped off area of 2x^2 - 11x + 15. What are the
possible dimensions of the roped off area?

Answers

Answer:

[tex]x-3[/tex] by [tex]2x-5[/tex] units

Step-by-step explanation:

Use the slide-and-divide method to factor the polynomial:

[tex]2x^2-11x+15[/tex]

[tex]x^2-11x+30[/tex]

[tex](x-6)(x-5)[/tex]

[tex](x-3)(2x-5)[/tex]

Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units

4781/32 without a decimal

Answers

Answer:

149(13/32)

Step-by-step explanation:

4781/32 and then take the remainder to make it an improper fraction

LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answers:

[tex]I(-2,-1) \to I \ ' \ (-5,-2.5)\\\\J(-1,2) \to J \ ' \ (-2.5,5)\\\\K(2,-1) \to K \ ' \ (5,-2.5)\\\\[/tex]

===============================================

Explanation:

Since the center of dilation is the origin, we multiply each preimage coordinate by 2.5 (which is the scale factor).

For example, the preimage point J(-1, 2) moves to J ' (-2.5, 5)

-1*2.5 = -2.52*2.5 = 5

This will cause the image triangle I'J'K' to be larger than the preimage IJK. Specifically, each side of the image is 2.5 times longer compared to the preimage.

Answer:

i' (-5, -2.5) J' (-2.5, 5) K' (5, -2.5)

Step-by-step explanation:

you just take the original coordinates and multiply them by 2.5

John finished his English assignment in 1/3 hours. Then he completed his chemistry assignment in 2/5 hours. What was the total amount of time John spent doing these two assignments?
these two assignments?

Answers

Answer: 11/15 hours

Step-by-step explanation:

Find LCD (lowest common denominator)

1/3=5/15

2/5=6/15

6/15+5/15=11/15 hours or 44 minutes

3x+1


If your kinda a math nerd you will understand this one

Answers

Answer:

If you equal it to zero (3x+1=0) it will be x= 1/3

Step-by-step explanation:

Subract the 1 over to the 0 then divide the 3 over.

280 is 72% of what number?

Answers

Answer:

389

Step-by-step explanation:

MARK BRAINLIEST PLEASE

(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
correcting 83% of that week's homework assignments. Which teacher corrected a greater
percentage of her homework assignments?

Answers

Answer:

Mr. jones

Step-by-step explanation:

6/7 is 85.71% which is greater than 83%.

Un rectángulo tiene un perímetro de 64 pulgadas y una longitud de22 pulgadas . ¿Qué ecuación puedes resolver para encontrar el ancho?

Answers

Answer:

[(P - (2 x l)] / 2

Step-by-step explanation:

[Perimeter - ( 2 x length) ] / 2

(64 - 2x22)/2 = 10 pulgadas de ancho

Expressions equivalent to 8 to the negative 2 power times 3 to the negative 2 power

Answers

Answer:

0.0007361111111111111+0.001;

0.0027361111111111111-0.001;

1.0017361111111111111-1;

Step-by-step explanation:

you calculate 8^(-2)*3^(-2) that gives you 0.0017361111111111111 and then you add 1 anywhere you want and then say -1 where you put that +1 and that's all

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