The number of termites in a nest in any given month can be represented by the
function f(t) = 4(3)^t where t represents the number of months.

The number of ants in a box can be represented by the function represented by the
table:

Months
0-1-2-3-4
Number 20-45-101-228-513

What is the positive difference in the number of termites and the number of ants in
the fourth year?

Answer:

Yes the answer is D. The actual net income for the month is -$30. Less money could have been spent on food.

Step-by-step explanation:

Just took the test on Edg. 2021

Answer:

134 hamburgers sold on Sunday

Step-by-step explanation:

x+3x=536

4x=536

4x/4=x, 536/4=134

x=134

The price of the food on the menu will be set at $21.

Cost of food item = $6.78

Food cost percentage = 33%

Let the price on the menu be represented by x.

Therefore, based on the information given, the equation to solve the question will be:

= 33% × x = $6.78

33/100 × x = $6.78

0.33 × x = $6.78

0.33x = $6.78

x = $6.78/0.33

x = $20.54

x = $21 approximately

Therefore, the price of the food on the menu will be set at $21.

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Step-by-step explanation:

613 and 623 are very close values.

multiplying by 12 or a division by 2 changes the starting value drastically.

so, this cannot be right.

and dividing 613 by 2 also makes it even smaller. but to get 623 we need to make it bigger.

so, therefore, even without actually calculating the numbers, the statement is proven false.

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

Explanation:

Refer to the diagram below.

A small rectangle has its longer side equal to 10 and its shorter side is x, which is some real number on the interval 0 < x < 10.

Across the top, the two sides of length 10 add to 20. So the larger rectangle has a horizontal dimension of 20 units.

The vertical side of the larger rectangle is x+10+x = 2x+10 units

The area would be

area = length*width = 20(2x+10) = 40x+200

Each of the nine smaller rectangles has area of length*width = 10x. Since we have 9 identical copies, the smaller rectangle areas must add to 9*10x = 90x

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

Equate those two expressions and solve for x

90x = 40x+200

90x-40x = 200

50x = 200

x = 200/50

x = 4

So each smaller rectangle has area of 10*x = 10*4 = 40 square units. In total, the nine smaller rectangles combine to an area of 9*40 = 360 square units

Note how x = 4 leads 40x+200 to result in 360 as well.

Answer:

B: shift vertically up by 3

Step-by-step explanation:

I suggest using desmos graphing for future questions like these

Hope this helps :)

Answer:

Q = 51,  S = 51,  R = 78

Answer:

This would be point M.

Step-by-step explanation:

Hope this helps!

Answer:

M

Step-by-step explanation:

(3.75, -2.25)

The first coordinate is the x coordinate which means left or right.

Since it is positive we go to the right 3.75 units

The second coordinate is the y coordinate which means up or down

Since it is negative we go down 2,25 units

The point is labeled M

Answer:

(x − 3, y − 3), reflection over y = −x + 2

view attached pic for proof :)

Answer: It would be about 10 cents an ounce.

Step-by-step explanation:

1.25/12 = ~.10

Answer:

n = 3.16 units; p = 5 units

Step-by-step explanation:

to find the length of the lines you need to use the pythagorean  theorem or a^2 + b^2 = c^2

in this case a is x, b is y, and c is the length

so for n it is:

1^2 + 3^2 = c^2 -->

1 + 9 = c^2 -->

10 = c^2

c = 3.16227766 or about 3.16 (this is n's length)

for p it is:

3^2 + 4^2 = c^2 -->

9 + 16 = c^2 -->

25 = c^2 -->

c = 5 (this is p's length)

Hello!

Answer:

-11

Hope this helps!

The original price of the desk before discount was $900.

A discount is the reduction in the marked price of items, discounts are generally given to customers to attract them towards some items or on sale.

Given that a desk is at sell today, the shop is offering 33% discount on it, which will give a selling price of $603.

We need to find the desk's yesterday price,

So, let the yesterday price be x,

Therefore,

100 - 33 = 67

Therefore,

67% of x = 603

x = 603 × 100 / 67

x = 900

Hence the original price of the desk before discount was $900.

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Answer:

[tex]15x + 20x \geqslant 600[/tex]

Step-by-step explanation:

The amount of money he earns needs to be greater than or equal to 600.

Answer:

Step-by-step explanation:

A. C. np

Answer:23/18

Step-by-step explanation:

Answer:

1231.50432 [tex]m^{2}[/tex]

Step-by-step explanation:

A=2πrh+2π[tex]r^{2}[/tex]

h = 21 m

r = 7 m

A = 2π(7)(21) + 2π([tex]7^{2}[/tex])

A = 1231.50432 [tex]m^{2}[/tex]

She can have at least 3 and at most 6 dog treats in a day

River can have - n = 10/y number of treats to remain in her calorie range, where the calorie range is [y] calories.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

River has new treats that are 10 calories each. how many of the new treats can she have and remain in her calorie range.

Assume the calorie range to be [y] calories and assume she can have [n] number of treats. We can write the linear function as -

10n = y

OR

y = 10n

This this the equation of the straight line. She can have -

n = 10/y

number of treats to remain in her calorie range.

Therefore, River can have - n = 10/y number of treats to remain in her calorie range.

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Answer:

10 liters.

Step-by-step explanation:

ratio: 1:5

sum of ratio: 1+5=6

Total volume of mixture = 12

Volume of water in mixture (fraction) = 5/6*12 = 5*2 = 10 liters.

Answer:

0.857$ (Its really big in answer but This is the average result.

The REAL answer

0.857142857$

Answer:

here side of cube is 3 cm..

Step-by-step explanation:

side = 3 cm

we know that...

volume of cube =s^3

=3^3

=27Cubic cm

Answer:

9

Step-by-step explanation:

3x3=9 think about it should be right

Answer:

y = 4.40x + 29.90

Hope this helps! Do let me know if you need any explanation :)

Answer:

It should be ben because if it is ben then you would divide 4  1/2 into 1/4

Step-by-step explanation:

he will have 18 peices in total(But thats not what the question is asking)

The answe is Ben/B

Answer:

ben had a 4 1/2 foot-long sandwhich. he cuts the sandwich into a 1/4 foot-long pieces. how many pieces of sandwich does Ben have?

Step-by-step explanation:

this one is correct because the other 3 aren't for division.

Answer:

Answer: Option 330 bars of soap Step-by-step explanation: If the amount is $ 1,200 and the simple interest for a year is 10% then the amount that Mark must pay is: If each soap bar costs $ 4 then the amount of soap bars you must sell in 1 year is: The answer is the first option  

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

$1,200.00 + 10% = $1,320.00 or $1,200.00 + $120.00 = $1,320.00

$1,320.00 / $4.00 = 330

330 * $4.00 = $1,320.00

Answer:

1/5

Step-by-step explanation:

It's already a mixed number.

The whole number part is 250 .

The fraction part is 0.025 . (Same thing as 1/40 .)

Done

Answer:

The answer is p= 2 and 1/3

Step-by-step explanation:

This answer can be found using the order of operations to solve for p.

Start by distributing 2/3 by (5p-6)

add -4/3p to 10/3p equaling 6/3p or 2p

subtract 13 from both sides

-p= 2p - 7

p=2 and 1/3