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8_murik_8 [283]
3 years ago
13

If Haley's ant farm doubles in population, she will have 122 more ants in her farm than Nate does. Haley's ant farm currently ha

s 76 more ants than half of what Raven has in hers. Raven has 208 ants in her ant farm. How many ants are in Nate's ant farm?
Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

Answer:

238

Step-by-step explanation:

Start with Raven's ants since hers is the one that everyone else's is based off of.  

Raven = 208

Haley has half of that plus 76, so

Haley = (208/2) + 76

Haley = 180

If Haley's farm doubles in population, she would have 360 ants.  That number is equal to Nate's number + 122.  We have an equation of sorts there to solve for Nate's ants:

180(2) = N + 122 so

360 = N + 122 and

N = 238

Nate has 238 ants in his farm.

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I NEED HELP ASAP. 35 POINTS. In order for two polygons to be similar, two conditions must be met. First, all pairs of correspond
galina1969 [7]

Draw a square with side length of 4. All four angles are 90 degrees and all four sides are 4.

Then draw a rectangle with length of 9 and with of 2. All four angles would be 90 degrees, but the proportion of the 2 sides are different when compared to the sides of the square.

3 0
3 years ago
Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?
yuradex [85]

The mother is older than her daughter by \frac{3}{4}m years

Step-by-step explanation:

Mother is m years old, and she is four times as old as her daughter.

we need to find how much older the mother is than her daughter

  • Put the age of mother equal 4 times the age of daughter
  • Find the age of daughter
  • Subtract the age of daughter from the age of mother to find how much older the mother than her daughter

∵ The mother's age = m

∵ Her age is four times as old as her daughter

∴ m = 4 × daughter's age

- Divide both sides by 4

∴ \frac{1}{4}m = daughter's age

- Subtract the daughter's age from her mother's age

∵ The difference of their ages = m - \frac{1}{4}m

- Change 1 m to a fraction of denominator 4, then 1 m = \frac{4}{4}m

∴ The difference between their ages = \frac{4}{4}m - \frac{1}{4}m = \frac{3}{4}m

∴ The mother is older than her daughter by \frac{3}{4}m years

The mother is older than her daughter by \frac{3}{4}m years

Learn more:

You can learn more about the fractions in brainly.com/question/1648978

#LearnwithBrainly

5 0
3 years ago
Please answer this correctly for a brainliest
m_a_m_a [10]
240. First You divide 420 by 7 then you multiply 60 by 4.


Hope it helped!
4 0
3 years ago
9. Find the area of the figure to the right.<br> area<br> 14 in
zlopas [31]

Answer:

1. 200 in.^2

2.

Step-by-step explanation:

1. Area of a trapezium=1/2(a+b)height

a=14 in.

b=20 in.+6 in. = 26 in.

height= ?

height can be gotten by using

formula : Soh Cah Toa

Toa is tangent∆= opposite/ adjacent

∆ = 60°

opp=? adj=6 in.

Tan 60° =opp/6 in.

Tan 60° = 1.732

1.732= opp/ 6 in.

opp=1.732*6 in.

opp = 10.392 approximately= 10 in.

Area of trapezium= 1/2*(14+26)*10(in.^2)

Area of trapezium= 1/2*40*10

= 1/2*400

= 200 in.^2 .

2. Area of triangle= 1/2* base* height

for first triangle =

base=4m

height =15m

Area: 1/2*4*15 ,1/2*60= 30m^2

second triangle =

base:?

height: 15m

using Pythagorean theorem;

hyp^2 = opposite ^2 + adjacent ^2

17^2 = 15^2 + adj^2

289= 225 + adj^2

adj^2 = 289-225= 64

square root

adj = 8m

area of second triangle : 1/2*8*15

: 1/2*120 :60m^2

total area: 30 m^2 +60m^2

==90 m^2

8 0
3 years ago
PLEASE HELP ASAP! WILL GIVE BRAINLIEST!
Ann [662]

Answer:

b

Step-by-step explanation:

um4un3n3ymurn4y4yn4yn4

8 0
3 years ago
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