at the beginning of april, colony of ants has a population of 5,000. During april, the colony decreases by 1/6 of its population. How many ants are there left at the end of april? approximate your answer as an integer(it would not make sense to have 2.5 ants). 5,000

Answers

Answer 1

Answer:

4166 ants

Step-by-step explanation:

To find how many ants were left, multiply 5000 by 5/6, since it decreased by 1/6:

5000(5/6)

= 4166.67

Round this down:

= 4166

So, at the end of April, there were approximately 4166 ants left

Answer 2

The required number of ants left at the end of April is given as 4167 ants.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the number of ants at the end of April be x,
According to the question,

Number of  ants left = total ants - decreased number of ants
x = 5000 - 1/6[5000]
x = 5000[1 - 1/6]
x = 5000[5/6]
x = 4166.67
x = ≈ 4167


Thus, the required number of ants left at the end of April is given as 4167 ants.

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Related Questions

Multiply the vector in the graph by a scale factor of Negative one-half.
The resulting vector will be
✔ shorter than
the original vector.
The resulting vector will be in Quadrant
✔ II
shorter than and II are the answers

Answers

Answer: The answer is shorter than and ll

Step-by-step explanation:

When multiplying the vector in the graph by a scale factor of -1/2. The resulting vector will be shorter than and II. Option D is correct.

Multiply the vector in the graph by a scale factor of Negative one-half.The resulting condition for the vector is to be determined.



What is the scale factor?

The scale factor is defined as the ratio of modified change in length to the original length.

What is a vector?

A vector is defined as phenomenon that has two independent belongings magnitude and direction. The term also denotes the mathematical or geometrical replica of such a quantity. Norms of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

Here, The scale factor is -1/2, where a negative sign shows that the vector will get inverted and 1/2 implies that it will be shortened by 1/2.

Thus, when multiplying the vector in the graph by a scale factor of 1/2. The resulting vector will be shorter than and II. Option D is correct.


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The graph of a linear function p is shown on the grid. If m(x)=x and p(x)=m(x)+n, what is the value of n?

Answers

Answer:

The answer is 1

Step-by-step explanation:

Find the closest point on the line.
y = - x -4 to (4,4)

Answers

Answer:

(-2,-2)

Step-by-step explanation:

The closet point on a line to any given point is the point where a perpendicular line intersects them both. The perpendicular line to y=-x-4 that intersects (4,4) is y=x. If you graph them both, you will find that they intersect at (-2,-2).

Answer:

y = x - 4

Step-by-step explanation:

root (4,0)

domain XER

y intercept (0,-4)

the diameter of a circle is 4 cm. find it's area in terms of pi?!​

Answers

Step-by-step explanation:

Radius of the circle = Diameter / 2 = 2cm.

Area = pi * (Radius)² = 4pi cm².

Answer:

4[tex]\pi[/tex]

Step-by-step explanation:

Radius is always half of the diameter.

So, 4/2=2

Now that we know the radius, we find the are.

The equation for area is [tex]\pi r^2[/tex]. When you insert everything, you get....

[tex]\pi[/tex][tex]*[/tex][tex]2^{2}[/tex]  

When you put it all together, we get... 4[tex]\pi[/tex]

Hope this helped :)

What's the answer to this?

Answers

Answer:

3 the answer is 3

Step-by-step explanation:

{(0, 1), (1, 4), (2, 5), (3, 7)}
not a function or function

Answers

Answer:

It's a function

Step-by-step explanation:

Ariane borrows 500 on a 2 year loan she is charged 5 percent simple interest per year how much interest is she charged for 2 years what is the total amount she has to pay back?

Answers

Answer:

She gotta pay $550 or $551.25.

Step-by-step explanation:

To find percent, u gotta multiply 500 by .05, since it's 5 percent, nd 5 percent is .05. When I did that, I got 25, nd 25 is for one year, but u wanna kno for two years, so 25 + 25 is 50. $500 + $50 is $550.

After one year, the total price is $525, so Ian kno if u was supposed to do %5 of $525, but ehrn I did I got $551.25.

Ion really kno nun bout interest rates, but I kno one of these answers is right.

Describe how to find the mean, median and mode of a set of data. what does each mean

Answers

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

I my last questions got reported so...here are 100points

what is
[tex]107 \times 58[/tex]

Answers

Answer:

what bait don't know that

Answer:

6,206

Step-by-step explanation:

it's multiplication, if anything you could just use a calculator.

<3 Enjoy,

    Dea

Dylan and his children went into a grocery store and where they sell peaches for $1 each and mangos for $0.50 each. Dylan has $15 to spend and must buy no less than 15 peaches and mangos altogether. If Dylan decided to buy 13 peaches, determine the maximum number of mangos that he could buy. If there are no possible solutions, submit an empty answer

Answers

Answer:4

Step-by-step explanation:

Solve for y y + 7 = 9

Answers

Answer:

y = 2

Step-by-step explanation:

Given

y + 7 = 9 ( subtract 7 from both sides )

y = 2

Simplifying

y + 7 = 9

Reorder the terms:

7 + y = 9

Solving

7 + y = 9

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + y = 9 + -7

Combine like terms: 7 + -7 = 0

0 + y = 9 + -7

y = 9 + -7

Combine like terms: 9 + -7 = 2

y = 2

Simplifying

y = 2

-FrxziteTheLxoser- I hoped i helped you today! :)

Emma's sister is nine years older
than Emma. Their combined ages
add up to 49. How old is Emma?
(The answer isn’t 40 bc it say that her sister is 9 years OLDER then Emma) pls help

Answers

Answer:20 I believe

Step-by-step explanation:

Answer:

yeah it should be 20 they're correct

Find the unit rate

5 calculators cost $180 ________________________



Mowed 6 yards for $30 ________________________



10 chocolate bars cost $17 ____________________



5 movie tickets cost $35 __________________________



$19 for 5 books _______________________________



200 bagels in 2 hours ________________________




56 people can ride the Ferris Wheel in 4 hours _____________



5 cans of green beans for $3.20 ______________________



3 pounds of bananas for $3.06 ________________________




4 tickets to the movies costs $36 ___________________

PLEASE HELP BRAINLIEST IF CORRECT

Answers

Answer:

vvvvvvvv

Step-by-step explanation:

A.36

B.5

C.1.70

D.7

E.3.80

F.100

G.14

H.0.64

I.1.02

J.9

Basically you dived the two numbers for your awnser

a water tower casts a shadow that is 21ft long.a tree casts a shadow that is 8ft long estimate the height of the water tower

Answers

Answer:

I ain't never seen 2 pretty bestfriends

Step-by-step explanation:

Item 8 A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, if necessary. The dog has about square feet of running area.

Answers

Complete Question:

A dog is leashed to the corner of a house with a 15 foot leash. How much running area does the dog have? Round your answer to the nearest square foot.

Answer:

The dog has about 707 square feet of running area.

Step-by-step explanation:

From the illustration in the question, one can conclude that the dog can travel in a circular path.

So, the length of the leash represents the radius and we are to calculate the required area using the area of a circle.

We have:

[tex]Radius = 15ft[/tex]

[tex]Area = \pi r^2[/tex]

Where

[tex]r = Radius = 15[/tex] and [tex]\pi = 3.14[/tex]

So:

[tex]Area = 3.14 * 15^2[/tex]

[tex]Area = 3.14 * 225[/tex]

[tex]Area = 706.5ft^2[/tex]

[tex]Area = 707\ ft^2[/tex]

Write an equation that represents the transformations formed by the following items:


(a) horizontally shifting the graph 4 units to the left of f(x) = √x and then vertically compression by a factor of 1/3

(b) vertically stretching the graph by a factor of 4 of f(x) = √x and then vertically shifting the graph 3 units up

(c) horizontally stretching the graph of f(x) = √x by a factor of 2 and then vertically shifting the graph 6 units down

Answers

Answer:

a) [tex]f(x) = \frac{1}{3} \sqrt{x+4}[/tex]

b) [tex]f(x)=4\sqrt{x} + 3[/tex]

c) [tex]f(x) = 2\sqrt{x} -6[/tex]

Step-by-step explanation:

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

There are some transformations are given.

Now,

For (a);

The function is horizontally shifting the graph 4 units to the left of

f(x) = √x.

So, The function become;

f (x) = √(x + 4)

And, Then vertically compression by a factor of 1/3.

So, The function become;

f (x) = 1/3 √(x + 4)

For b:

The function is vertically stretching the graph by a factor of 4 of f(x) = √x.

So, The function become;

f (x) = √x + 3

And, Then vertically shifting the graph 3 units up.

So, The function will be;

⇒ f (x) = 4√x + 3

For c;

The function is horizontally stretching the graph of f(x) = √x by a factor of 2.

So, The function become;

f (x) = 2√x

And, Then vertically shifting the graph 6 units down.

So, The function will be;

⇒ f (x) = 2√x - 6

Thus,

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

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,

help fast please it's timed ​

Answers

Answer:

2x= 3x-7

-x=-7

x=7

so, the first option

Step-by-step explanation:

Which set of equivalent measures does not indicate that two triangles must be congruent?

A anglo-angle-angle B. side-angle-side

C. angle-side-angle D. angle-angle-side

Answers

Answer:

C. angle-side-angle

D. angle-angle-side

Step-by-step explanation:

A triangle is bounded by three sides, thus it has three angle. When two triangles are compared, the length of sides and angles could be similar or not. Thus, the triangle may be congruent or not congruent.

The relationship between congruent triangles can be expressed as regards to their sides, angles, or both.

From the given question, when the three angles of two given triangles are the same, then the two triangles are congruent. This relationship can be expressed as Angle-Angle-Angle.

Also, when two triangles have two equal sides and an included angle to be equal (i.e Side-Angle-Side), then they are congruent.

Hello guys plz help me with this question, plz show me the working so i know how you did it, THANK YOU!

Answers

9514 1404 393

Answer:

  a) 13%

  b) 65.9%

Step-by-step explanation:

a) You can use n=1 to find the percentage remaining at the end of 1 hour:

  P = 100(0.87^1) = 87

This is 13% less than 100%, so the decay rate per hour is 13%.

__

b) Fill in n=3 and evaluate the expression.

  P = 100(0.87^3) = 65.8503

After 3 hours, about 65.9% of the caffeine remains.

$1500 at 9% for 2 years

Answers

Answer:$270

Step-by-step explanation:

I=PRT

Interest=principal times rate times time

Principal=1500

Rate=9%=0.09

Time=2

I=1500 times 0.09 times 2

I=1500 times 0.18

I=270

Interest=270

Total is 1500+270=1770 total paid

what % of 630 is 189.

Answers

Answer:

30%

Step-by-step explanation:

Answer:

30℅

Step-by-step explanation:

hopefully this helps :)

order the following numbers from least to greatest. -14 1/5,
-14.04,
-14.4

Answers

Answer:

-14.4, -14 1/5, -14.04

Step-by-step explanation:

1/5=0.2

-14..04 is closest to 0 on a number line

the more i think about it the more i doubt myself but i hope its right. pretty sure it is.  

Please, i need help on how to solve problems like these. I dont understand and i wasnt in class when they taught it to us. PLzzzz.Will make it the brainiest if its corrected and explaining how to solve problems like these.

Answers

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

The number of swimmers at a city pool on Monday was twice the number who were there on Tuesday. The number at the pool on Wednesday was 11 fewer than 3 times the number on Tuesday. The total swimmers for all 3 days were 625. How many swimmers were at the pool each day? Define a variable, write an equation, and solve the problem.

Answers

Answer:

102 1/3 swimmers

Step-by-step explanation:

Let

Number of swimmers on Tuesday = x

Number of swimmers on Monday = 2x

Number of swimmers on Wednesday = 3x - 11

Total swimmers for all 3 days = 625

x + 2x + (3x - 11) = 625

3x + 3x - 11 = 625

6x = 625 - 11

6x = 614

x = 614 / 6

= 102 2/6

x = 102 1/3 swimmers

Number of swimmers on Tuesday = x = 102 1/3 swimmers

Number of swimmers on Monday = 2x

= 2(102 1/3)

= 204 2/3

Number of swimmers on Wednesday = 3x - 11

=3(102 1/3) - 11

= 307 - 11

= 296

Can someone help me please thank you

Answers

Answer:

3j + 3m + 21

Step-by-step explanation:

Normally, they would each travel 3 miles, so the total would normally be 3j + 3m. However, for today, Jared ran another 21 miles, so 21 miles is added to the total.

Total distance = 3j + 3m + 21

Answer:

(3j) + (3m + 21)

Step-by-step explanation:

Since every time Jared goes running he runs 3 miles we should multiply j by 3. So we will have: 3j

Since every time Malia goes running she runs 3 miles we should multiply m by 3. So we will have 3m

But this month Jared ran an extra 21 miles so we will have to add that after we have multiplied both j and m by 3.

Since we want the total distance they ran that month, we need to add all of these distances.

This will give us 3j + 3m + 21.

In the answer options 3j is inside a parenthesis as well as 3m + 21. Since inside the parenthesis we only have addition and the order which we add doesn't really make a difference, the parenthesis were unnecessary but they won't affect the answer.

Carmen has 240 action figures she wants to display in 4 bookcases. Each bookcase has 5 shelves, and each shelf gets the same number of action figures. What is true about how Carmen can display her action figures?

She can put ____ action figures in each bookcase

She can put ____ action figures on each shelf

The choices are
a. 5
b. 12
c. 30
d. 60
e. 231
f. 249

PLESSE HELP

Answers

Answer:

60 books in one bookcase

12 books in one shelf

plz mark brainliest

Step-by-step explanation:

figures is one bookshelf =240/4

figures in each shelf=240/4*5

Please help i will mark braniliest and 30 points

If you solve the inequalty 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed values of x is included in x < 7


A) x=8
B) x = 7
C) x = 12
D) x= -8

Answers

Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

what is the coefficient of -2x+8=10 ​

Answers

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+8=10

Step 1: Subtract 8 from both sides.

−2x+8−8=10−8

−2x=2

Step 2: Divide both sides by -2.

−2x−2=2−2

x=−1

Answer:

Answer:

-2

Step-by-step explanation:

The coefficient of an equation or expression is any constant that precedes a variable. So, in this case, the only variable is x, so the coefficient is the preceding number, -2.  

When you subtract an number from both sides of an inequality, do you flip or change the direction of the inequality?

Answers

Answer:

you only have to flip the inequality if you you are divide or multiplying by a negative

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the
polynomial in standard form.
3i, 2 - i

Answers

Answer:

t

Step-by-step explanation:

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