MATHEMATICS MIDDLE SCHOOL

30. The table below shows the number of ants in an ant farm on differentdays. The number of ants doubles every ten days. MAFS.J.
Day
71
51
320
61
640
Number of Ants
1,280
a. How many ants were in the farm on Day 1?
b. How many ants will be in the farm on Day 91?

Answers

Answer 1

Answer:

Answer:

a)10

b)5120

Step-by-step explanation:

Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91

Day Number of Ants

1 10

11 20

21 40

31 80

41 160

51 320-----------------given

61 640------------------given

71 1280----------------given

81 2560

91 5120

Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91

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The perimeter of a rectangle is 24 feet . Find the length if the width is 2 feet what is the length
expand each of the linear expression below using the distributive property,showing all work and simplifying your answer completely -3(-6b+5)
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If f(x) = -3 and g(x) = 3x2 + x - 6, find (f+ g)(x).

QUICKEST GETS BRAINLIEST AND 10 POINTS!!! PLEASE HURRY!! SPAM WILL BE REPORTED!!David and Amanda are trying to figure out how long they can live off their $12,350 savings if they spend $240 each month. They have each created an equation.

David’s Equation Amanda’s Equation
y = 12,350 – (240x) y = 12,350 + (240x)
Which person has the correct equation to model this linear relationship?

Amanda’s equation is correct, because their spending will be multiplied by the number of months and then added to their savings.

Amanda’s equation is incorrect, because their spending will increase the amount of their savings.

David’s equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings.

David’s equation is incorrect, because their spending should be a fixed amount and should not be multiplied

Answers

C "David’s equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings" is the correct answer

C.) David’s equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings.

The equation would be: y = 12,350 - 240x
where, x = number of months

Hope this helps!

What names apply to a rhombus

Answers

A rhombus is four sided. So it is a quadrilateral.

Explain how you know 6/6 and 1 are equivalent

Answers

OK, so imagine a pizza that has 6 slices. that is a whole pizza. 6 out of 6 pieces of pizza is eaten. how much pizza was eaten? the whole thing which is 6/6 so that is equivalent to 1.
HOPE I HELPED AND YOU UNDERSTAND!!!

You need six pieces of a cookie. You have six pieces of a cookie. Therefore you have all of the pieces to make one cookie.

A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it is 180 miles from Denver. Which function describes the car's distance from Denver?

Answers

Answer: $y=-40x+300$

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call $x$ the time in hours and $y$ the traveled distance in miles:

Point 1: $(x_(1),y_(1))=(0,300)$

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: $(x_(2),y_(2))=(3,180)$

Since we are told the car's final position is 180 miles after 3h

Let's find the Slope $m$ :

$m=(y_(2)-y_(1))/(x_(2)-x_(1))$

$m=-40$ This is the slope of the line

Now, the equation of the line is:

$y=mx+b$

We already know the slope, now we have to find the intersection point with the y-axis ( $b$ ) with any of the given points. Let's choose Point 1: $(x_(1),y_(1))=(0,300)$

$300=-40(0)+b$

Isolating $b$ :

$b=-300$

Then, the equation of the line is:

$y=-40 x+300$

Answer:

y=-40x-300

Step-by-step explanation:

Solve for x: 3x = 54

Answers

The calculated value of x in the equtaion 3x = 54 is 18

How to calculate the value of x in the equtaion

From the question, we have the following parameters that can be used in our computation:

3x = 54

Divide through the equation by 3

so, we have the following representation

3x/3 = 54/3

Evaluate the quotient on the right hand side

3x/3 = 18

Lastly, we have

x = 18

Hence, the value of x in the equtaion is 18

Answers

Answer:

GCF: 2d²

Step-by-step explanation:

Write out all the factors of 6:

-----------

6 1

3 2

Write all the factors of 10:

--------------

10 1

5 2

The GFC of both of those numbers is 2.

Since both numbers have a variable of d, and since they both have exponents, you can multiply both numbers by d², because there is at least one d² in each variable.

Your full answer would be: 2d²(3d³ - 5)

If you use foil, remember you don't multiply exponents, you add them.

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