it takes an ant farm 3 days to consume 1/2 of an apple. At that rate in how many days will the ant farm consume 3 apples

[tex]\text{Width} ~= w ~ cm \\\\ \text{Length}~,l = (20+ w) ~ cm \\\\\text{Area of rectangle} = 1000 cm^2\\\\\\\text{Now,}\\\\l \cdot w = 1000\\\\\implies (20 + w) w= 1000\\\\\implies w^2 +20w -1000=0\\\\\\\implies w = \dfrac{-20 \pm \sqrt{20^2 - 4 \cdot 1 \cdot (-1000)}}{2 \cdot 1}\\\\\\\implies w = \dfrac{-20 \pm \sqrt{4400}}{2}= \dfrac{-20\pm 20\sqrt{11}}2 = -10 \pm 10\sqrt{11}\\\\\text{Width cannot be negative so,} \\\\w= -10+10\sqrt{11}=10\left(\sqrt{11} - 1 \right) ~ cm\\\\[/tex]

[tex]\text{And length,}[/tex]

[tex]l= 20+ 10\left(\sqrt{11} - 1} \right) = 20 + 10\sqrt{11} - 10 = 10 + 10\sqrt{11} = 10 \left(1+ \sqrt{11} \right)~ cm[/tex]

Answer:

1-a) 78+x+16+x+24=180°

118+2x=180

2x=62

so x=31

Step-by-step explanation:

thats a

Answer:

1a) x = 31

1b) x = 12

2) angle A = 60 degrees

3) x = 40 degrees

Step-by-step explanation:

Answer:

1. GCF is 15.

2. 8 servings

Step-by-step explanation:

1. Continuous Division              

            3     15         30

            5      5          10

                     1           2

Multiply the factors in the left side (3 and 5)

= 15

Greatest Common Factor is 15

2. Continuous Division

              2      16         24

              2      8           12

              2      4            6

                      2            3

Multiply the factors in the left side (2,2 and 2)

= 8

Greatest number of servings is 8

Answer:

It is 0.6 miles

Step-by-step explanation:

Answer:

scale factor is 1:4

Step-by-step explanation:

the blue rectangle is 4 times larger than the black one; you can compare coordinates; for example, (4,5) becomes (16,20)

Answer: I got 60d+115f

Step-by-step explanation:

Hope this helps.

Answer:

60d+115f

Step-by-step explanation:

if you were basically asking to simplify then this is your answer

Answer:

The code is 8415

Step-by-step explanation:

Answer:

y+5=3(x-2).

Step-by-step explanation:

1) according to the condition m=3; x₁=2; y₁= -5, then

2) the required equation is y+5=3(x-2).

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

Answer:

b

Step-by-step explanation:

Answer:

x=54

Step-by-step explanation:

2x+13=3x-41

   -13       -13

__________

2x=3x-54

-3x  -3x

__________

-1x=-54

__   __

-1      -1

X=54

I Hope this helped <3

Answer:

x = 54

Step-by-step explanation:

If m||n, these two angles will be equal in degrees

3x - 41 = 2x + 13

3x - 2x = 13 + 41

x = 54

Answer:

y = 1/3x +1

Step-by-step explanation:

y intercept is 1 and the rise is one with a run of 3

Answer:

$6 per cat, $10 per car

Step-by-step explanation:

I guess and checked my work.

The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!

[tex]\\ \sf\longmapsto (4x+2)(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x(x-3)+2(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x^2-12x+2x-6[/tex]

[tex]\\ \sf\longmapsto 4x^2-10x-6[/tex]

Answer:

Step-by-step explanation:

(4x + 2)(x - 3) =4x *(x -3) + 2*(x -3)

                    = 4x*x - 3*4x + x*2 - 3*2

                    = 4x² - 12x + 2x - 6   {Combine like terms}

                    = 4x² - 10x - 6

Answer

The ratio of bananas to apples is 3 to 4

Step-by-step explanation:

ok done. Thank to me :>

Answer:

4

Step-by-step explanation:

8x - 4 = 4x + 12

Add 4 to both sides:

8x = 4x + 16

Subtract 4x from both sides:

4x = 16

Divide by 4 from both sides"

x = 4

Answer:

-6, -5

-3, -3

0, -1

3, 1

Step-by-step explanation:

k(-3)=36(2)

hope it helps

Answer:

310 miles

Step-by-step explanation:

You can set up a proportion and solve for x.

2 6.2

___ = ___

100 x

Cross multiply

2x=6.2*100

Simplify

2x=620

Divide each side by 2

x=310

Answer:

x=5-y

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The line would be dotted since it's > not ≥. You would shade above the line since it's greater than, not less than.

You don't need to graph the line to choose the correct answer, but if you would like to:

y - 3 > 2x + 2

y > 2x + 5

Answer:

Yes, Yes they are. Unless they are supposed to be in the order "20 99101" then they are most definitely a pythagorean triple.

Answer:

Yes, the sides would form a right triangle.

Step-by-step explanation:

[tex]99^2 + 20^2 = 101^2\\\rule{150}{0.5}\\99^2 + 20^2 = 10201\\\\9801 + 400 = 10201\\\\\boxed{10201 = 10201}[/tex]

Hope this helps.

Answer:

B. 8

Step-by-step explanation:

Point-slope form:

[tex]y-y1=m(x-x1)[/tex]

m is the slope, and that is 8 in this equation.

Answer:

Smallest: 12.8 square meters

Largest: 13.5 square meters

Step-by-step explanation:

I'm not 100% sure I understand this correctly as it seems like a very strange problem, but here it goes.

The smallest number that rounds to 3.2 is 3.15, and the smallest number that rounds to 4.1 is 4.05.

[tex]3.15*4.05=12.7575[/tex]

The smallest possible area is 12.8 rounded to the nearest 10th.

The largest number that rounds to 3.2 is 3.24999... and the largest that rounds to 4.1 is 4.14999...

[tex]3.24999*4.14999=13.4875[/tex]

That rounds to 13.5.

Answer:

Step-by-step explanation:

If the ratio of two numbers is 8 : 1, the smaller number is what fractional ... 20. 80 m to 16 m. 21. 75 g to 100 g. 22. 36 cm to 72 cm. 23. 54 g to 90 g there you go hope it helps

Answer: 99013114

Step-by-step explanation: Due to the solution to your question. 2234x44321= 99013114. This is because we multiply each digit to its own other digit.