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Arada [10]
4 years ago
9

Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie

is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?
Mathematics
2 answers:
Assoli18 [71]4 years ago
7 0

If Roni and Allie are working together, Roni will mow .71 of the field.

in a chart,  Roni's rate would be 1/30 and Annie's rate would be 1/75.

both of thier times would be x

and the part of field mowed would be 1/30x for Roni and 1/75x for Annie.

the answer is .71

hope this helps :)

balandron [24]4 years ago
5 0
<span>about 0.71 of the field
</span>

roni 1/30 t 1/30t

allie 1/75 t 1/75t

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How to factor 5m2-29m+20?
ser-zykov [4K]

Question :

5m^2 - 29m + 20

Steps:

What can u factor to get 20?

you can make 5 and 4 to make 20 so,..

1. Break it into groups

(5m^2 - 4m) + (-25m + 20)

*Factor out m from (5m^2 - 4m) : m(5m - 4)

*Factor out -5 from (-25m + 20) : -5(5m - 4)

2. Then, you can factor out the common term : (5m - 4) because they both have it. And then u would move the m by the -5 so,...

= (5m - 4)(m - 5) <======= <em>Answer</em>


Hope this helped!!!

~Shane


3 0
3 years ago
Question 8b , thanks
marta [7]

Answer:

Step-by-step explanation:

a = \frac{2b+1}{3b-1}

b = 2/3

2b + 1 = 2*\frac{2}{3}+1\\\\=\frac{4}{3}+1\\\\=\frac{4}{3}+\frac{3}{3}\\\\=\frac{7}{3}\\\\3b-1 = 3*\frac{2}{3}-1\\\\=2- 1 = 1\\\\\\

a = \frac{2b+1}{3b-1}\\\\a=\frac{\frac{7}{3}}{1}\\\\=\frac{7}{3}\\\\

a = 7/3

b)

\frac{2b+1}{3b-1}=a\\\\

Cross multiply,

2b + 1 = a*(3b - 1)

2b + 1 = a*3b - 3*a

2b + 1 = 3ab- 3a

2b = 3ab - 3a - 1

2b - 3ab = -3a  - 1

b(2 - 3a) = -3a - 1

b =\frac{-3a - 1}{2 - 3a}

3 0
3 years ago
Pls answer the question attached
barxatty [35]

\huge\mathfrak{\underline{answer:}}

\large\bf{\angle ACD = 105°}

__________________________________________

\large\bf{\underline{Here:}}

  • BCD is an isosceles right triangle , right angled at D
  • ABC is an equilateral triangle

\large\bf{\underline{To\:find:}}

  • ∠ ACD

\large\bf{In\: triangle\:ABC:}

❒ Sum of all angles is 180° , since it is an equilateral triangle all the three angles would be same

\large\bf{\underline{So}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle ACB = \frac{180}{3}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle ACB = 60°}

\large\bf{In\: triangle\:BDC}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle D = 90°}

\bf{⟼\angle DBC =\angle DCB }(Isosceles triangle)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle DBC + \angle BDC + \angle DCB = 180° }

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼2\angle DCB + 90° = 180°}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼2\angle DCB = 180 -90}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle DCB = \frac{90}{2}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\angle DCB = 45°}

\large\bf{\underline{Therefore,}}

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‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟹\angle ACD = 60+45}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large\bf{⟹\angle ACD = 105°}

6 0
3 years ago
Alan can type 80 words in two
Sonbull [250]

Answer:

2400 words

Step-by-step explanation:

80 = 2 min

60min ÷ 2min = 30min

30 × 80 = 2400 words

3 0
3 years ago
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N–2=10n+4/2 what is the value of n need help asap
MakcuM [25]
N - 2 = 10n + 4/2

-2 = 9n + 4/2

-4/4 = 9n

-1 = 9n

-9 = n

N is -9.

If this answer is right please leave a thanks and a rating. :)
4 0
3 years ago
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