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Shtirlitz [24]
3 years ago
15

A father left 280 acres of land to be divided among his sons Al and Bob in the ratio 4:3, respectively. How many acres should Al

receive?
Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

Answer:

160 acres

Step-by-step explanation:

Given data

Total Amount of land= 280 Acres

Ratio=4:3

Total part = 4+3= 7

Applying the part to all method

let AI receive x acres

Then

4/7= x/280

cross multiply

7x= 280*4

7x=1120

x= 1120/7

x= 160

Hence AI will receive 160 acres

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A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards. A card is chosen at random from the box. What is the proba
Ivanshal [37]

The probability that the card is not yellow is \frac{5}{9}

<em><u>Solution:</u></em>

<em><u>The probability of an event is given as:</u></em>

Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}

From given,

A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards

Total number of possible outcomes = 8 + 8 + 2 = 18

Favorable outcome = card is not yellow

Favorable outcome = card is blue or green = 8 + 2 = 10

Therefore,

Probability = \frac{10}{18}\\\\Probability = \frac{5}{9}

Thus the probability that the card is not yellow is 5/9

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3 years ago
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guapka [62]

Answer:

I think the answer is C Angle-Angle-Side im not sure if im accurate but i hope it helps

Step-by-step explanation:

7 0
3 years ago
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Pls answer this for me, this is the remainder theorem for grade 9 so help me.
scZoUnD [109]
1) Let f(x) be x^3+5x^2+2x+1
Since f(x) is divided by x+1,
R= f(-1) = (-1)^3 + 5(-1)^2+2(-1) + 1
= -1+5-2+1
= 3
2) Let f(x) be x^3 - 6x + 5x +2
Since f(x) is divided by x-5,
R= f(5) = x^3 - 6x^2 + 5x +2
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3 0
3 years ago
A principal is ordering pizzas for a school pizza party. He knows that 9 pizzas will
My name is Ann [436]

Answer:

108 pizzas

Step-by-step explanation:

300/25 = 12 groups of 25 students

9 pizzas per group

9(12) = 108 pizzas

hope this helps

7 0
3 years ago
Some girls in a Girl Scout troop are pairing up with some boys in a Boy Scout troop to practice square dancing. Two-thirds of th
Natalka [10]

Answer:

Fraction of the scouts are square dancing is \frac{19}{30}.

Step-by-step explanation:

Each pair  is one Girl Scout and one Boy Scout.

So,  to  the final fraction ( of the pairs) we are going to get 1/2 from the fraction of girls and 1/2 from the fraction of boys.  

Girls= \frac{2}{3} *\frac{1}{2} =\frac{2}{6}

Boys= \frac{3}{5} *\frac{1}{2} =\frac{3}{10}

To get the fraction of the scouts that are square dancing,  we have to add the fraction of girls ,  with the fraction of boys.  

=\frac{2}{6} +\frac{3}{10}

=\frac{(2*10) +(6*3)}{6*10} =\\ \frac{20+18}{60}

=\frac{38}{60}

=\frac{19}{30}

This means that  from 30 scouts ,  19 are dancing.  

5 0
2 years ago
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