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masya89 [10]
3 years ago
13

The difference of two numbers is 15.The larger number is 1 more than 3 times the smaller number. Find the two numbers

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

Step-by-step explanation:

2) let the two numbers be x and y

x-y =15

(taking x to be big)

x = 3 (y)+1

i.e. x-3y =1

Subtracting we get

2y =14 or y =7

x =15+7 =22

Larger number is 22 and smaller number is 7

-----------------------------------

Alysha is 2 years younger than Bryce/

Let Alysha be x years old then Bryce would be x+2

Sum of their ages

=x+x+2 =28

2x+2 =28

2x=26

x=13

Hence Alysha is 13 years old and Bryce 14 years old.

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Determine the degree of the given polynomial x^2 ( 1 - x^3)
Ray Of Light [21]

Answer:

\huge\boxed{\bf\:5}

Step-by-step explanation:

Polynomial = x^{2} (1 - x^{3}).

Before determining the degree of the polynomial, let's open the parentheses using the distributive property .

x^{2} (1 - x^{3})\\=\underline {x^{2} - x^{5}}

Degree is the highest exponential power in a polynomial  .

So, the degree of the given polynomial is 5.

\rule{150pt}{2pt}

4 0
2 years ago
Evaluate the following expression when a=3,b=9,c=6,5ab
vesna_86 [32]

Answer:

135

Explanation:

Substitute 3 and 9 for a & b

5(3)(9)

= 135

6 0
4 years ago
Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 mph faster than the other. If t
Artemon [7]

Answer:

46 mph and 61 mph

Step-by-step explanation:

Distance=speed*time

Let speed of one bus be x and another x+15

After 3 hours

First bus would have traveled 3x while second bus 3(x+15)=3x+45

Total distance= 3x+3x+45=6x+45

6x+45=321

6x=321-45=276

x=276/6=46 mph

x+15=46+15=61 mph

4 0
3 years ago
Factor the expression. 40z – 20
erik [133]
40z - 20 
   
     GCF=20
 

20 ( \dfrac{40z}{20} -  \dfrac{20}{20}) 

20(2z-1)
7 0
4 years ago
Read 2 more answers
PLEASE HELP!!
Ratling [72]

All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).

These probabilities are computed as 1 over all the possible outcomes.

(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.

\dfrac{1}{52}\approx 0.019 = 1.9\%

(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.

\dfrac{8}{52}=\dfrac{2}{13}\approx 0.154 = 15.4\%

(c) You have two "good" outcomes out of 5, so your probability is 2/5.

\dfrac{2}{5}=0.4=40\%

3 0
3 years ago
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