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Riley is building an ant farm for his school's science fair. He
has enough materials to build a farm that is 343 square inches
in total, 10 square inches of which will be taken up for food
and water sources. Of the remaining available space, each ant
needs at least 3 square inches to themselves. What is the
maximum amount of ants Riley's ant farm can house?

Answer:

x = 0

Step-by-step explanation:

x+\frac{6}{2}+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-\frac{4x}{3}-8-\frac{x}{6}=0

x-\frac{4x}{3}-\frac{x}{6}+3+5-8=0

x-\frac{4x}{3}-\frac{x}{6}=0

x\cdot \:6-\frac{4x}{3}\cdot \:6-\frac{x}{6}\cdot \:6=0\cdot \:6

6x-8x-x=0

-3x=0

\frac{-3x}{-3}=\frac{0}{-3}

x=0

Answer:

2.00085 * 10^8

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

Scale factor = 4/8 = 1/2

A* 1/2 = 3

A = 2*3

A = 6 cm

Answer:

Volume = 343 cm³

Step-by-step explanation:

Given :-

To Find :-

Solving :-

Answer: 44

Step-by-step explanation: I'm assuming P is on the left most side and R is on the right most side. The two segments of the line adds up to the entire line so it would be PQ(20)+QR(22)=PR(44)

Answer:

Step-by-step explanation:

(x+12/2,y-9/2)=(5,7)

x+12=10,y-9=14

x=-2,y=23

The coordinates of endpoint G is (-2, 23) if the midpoints of a GH is M(5, 7). One endpoint is H(12, -9).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

The midpoint of a GH is M(5, 7). One endpoint is H(12, -9).

The coordinates of endpoint G (x, y)

Using mid-point theorem:

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

(x + 12)/2 = 5

x + 12 = 10

x = 10 - 12

x = -2

(y -9)/2 = 7

y - 9  = 14

y = 14 + 9

y = 23

Thus, the coordinates of endpoint G is (-2, 23) if the midpoints of a GH is M(5, 7). One endpoint is H(12, -9).

Learn more about the order double here:

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Answer:

D) Obtuse Scalene this is the answer

To solve this question, just divide.

49/60 = 0.81666666666

= 82%

Answer:

Crissy's percentage is 82% (81.67% rounded).

Step-by-step explanation:

1. 49 / 60 = 0.82 (0.81666 rounded)

2. 0.82 x 100

3. 82%

Answer:

[tex]9c+5.9d-7.9[/tex]

Step-by-step explanation:

[tex]-\left(-9c-5.9d+7.9\right)[/tex]

[tex]\mathrm{Distribute\:parentheses}[/tex]

[tex]=-\left(-9c\right)-\left(-5.9d\right)-\left(7.9\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=9c+5.9d-7.9[/tex]

~Learn with Lenvy~

Answer:

your answer should be ty

Step-by-step explanation:

Answer:

∠a= 65°, ∠b= 115°, ∠c= 25°

Step-by-step explanation:

The sum of the angles in a triangle is 180°. This is abbreviated to '∠ sum of ∆'.

∠c +55° +60° +40°= 180° (∠ sum of ∆PQR)

∠c +155°= 180°

∠c= 180° -155°

∠c= 25°

∠a +60° +55°= 180° (∠ sum of ∆PQS)

∠a +115°= 180°

∠a= 180° -115°

∠a= 65°

The sum of the angles on a straight line is 180°. It's abbreviation is 'adj. ∠s on a str. line'.

∠b +∠a= 180° (adj. ∠s on a str. line)

∠b +65°= 180°

∠b= 180° -65°

∠b= 115°

Answer:

-3

Step-by-step explanation:

-|-5+2|

-|-3|

=-3

..................

Answer:

It is 22.524

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

2 1/8 - 1 3/4

2 1/8 - 1 6/8

17/8 - 14/8

3/8

The equation that represents the basketball team raising money is a linear equation

The equation that represents the total amount raised is 10x + 15y = 3050

From the question, we have the following parameters

A linear equation is represented as;

Ax + By = C

So, the equation that represents the total amount raised would be 10x + 15y = 3050

Hence, the equation that represents the total amount raised is 10x + 15y = 3050

Read more about linear equation at:

https://brainly.com/question/14323743

Answer:

there is a lot of different rotations

Step-by-step explanation:

and multiple of 360 and could go infinitely while 90, 180, 270 degrees will not work.

Answer: she would be 19 years old right now.

Step-by-step explanation:

14 years plus another 5 equals 19 years.

Answer:

64.8 km would be the diameter of the figure.

Step-by-step explanation:

Area of circle = πr², π = 22/7 or 355/133. Here it is said to use '3.14'. I will use the same.

Volume = cross-section area * height

Cross-section area of bigger one = π(3m)²

Volume = π(3m)² * height

= 9π * 5 m³ = 45π m³

Cross-section area of smaller one= π(1m)²

Volume = π(1m)² * height

= π * 5 m³ = 5π m³

Since a large part(cylinder of 1 m is not here):

Required volume = total volume - volume of smaller circle(cylinder)

= 45π - 5π m³

= 40π m³ = 40(3.14) m³

= 125.6 m³

Answer:

the first friend

Step-by-step explanation:

your percentage is 8/15 = 53.3%

your first friend's percentage is 7/10 = 70%

your second friend percentage is 6/12 = 50%

Step-by-step explanation:

for the (a) put 6 in for x in h(x)=x/3

which looks like this...

h(6)=6/3 so, h=2

not put 2 in for x in g(x)=√3

which would end up as...

g(x)=√3 since there is no x in the equation

now finally put √3 in for x in f(x)=x^3

so, f(√3)= √3^3

which is... f(x)= 3√3

[Answer] a= 3√3

Now you should be able to solve the other ones if you need help message below

Please rate and mark me the brainliest!! I hope this helps!!

set is the collection of well defined object having some common property

please fOllow me

Answer:

to compare them, you have to get the same denominator. So you change the denominator to 24 by multipling 7/12 by 2, and 5/8 by 3. Then you have 14/24 and 15/24. This means that 5/8 is greater than 7/12

Step-by-step explanation:

Hope this helps. If you want, please mark me as brainliest

Answer: Please mark me brainlest 15

24

>

14

24

or

5

8

>

7

12

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 12 is 24

For the 1st fraction, since 8 × 3 = 24,

5

8

=

5 × 3

8 × 3

=

15

24

Likewise, for the 2nd fraction, since 12 × 2 = 24,

7

12

=

7 × 2

12 × 2

=

14

24

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

Answer:

Step-by-step explanation:

Answer:  -13

Step-by-step explanation:

slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

         = [tex]\frac{6-(-7)}{1-2}[/tex]

         = [tex]\frac{6+7}{1-2}[/tex]

         = -13

Answer:

There isn't enough information to answer the question

Step-by-step explanation:

Answer:

The ratio of cups of mixed nuts to cups of granola is /First, we need to get the total number of granola cups. This can be done by adding all the components' cups as follows:

number of granola cups = 6 + 2 + 0.5 + 1 + 1 + 0.5

number of granola cups = 11 cups

Now, we are given that:

number of cups of mixed nuts is 2 cups

To get the ratio between the cups of mixed nuts and total granola cups, we will simply divide the two quantities as follows:

Hope this helps :)

Step-by-step explanation:

Granola is a munchable snack that is prepared using various kinds of nuts, seeds, and sometimes a binding agent such as honey is used in the preparation of granola.

In the question above, we are giving the ingredients and quantities which is used in the preparation of granola

6 cups rolled oats, 2 cups mixed nuts, 1 /2 cup sesame seed, 1 cup dried cranberries, 1 cup dried unsweetened coconut, 1 /2 cup honey.

Step 1

We would be adding up the ingredients to find the total number of cups

6 + 2 +  + 1 + 1 +  = 11 cups

The total number of cups = 11 cups

Step 2

The cups of mixed nuts given in the question = 2 cups

The total number of cups of granola is given = 11 cups

Therefore, the ratio of cups of mixed nuts to cups of granola is 2 : 11

To learn more about this topic, please visit the link below:

https://brainly.in/question/39337633?tbs_match=1

Answer:

9.75 or 9 3/4

Step-by-step explanation:

4 1/4 can be written as 4.25

4.25+5.5 = 9.75

if you want the fraction you can convert 9.75 to a fraction

9.75= 9 3/4

Now you have your answer 9.75 or 9 3/4

Answer:

Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?

If the measure of an angle is 135°,

then the measure of its supplement is 45°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°