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Alisiya [41]
3 years ago
13

Ms. Oliveda bought a grapefruit for .89c and three oranges. The total cost of the fruit was $2.15. How much did each orange cost

?
Mathematics
1 answer:
erastova [34]3 years ago
7 0
GRAPEFRUIT: .89c
subtract the grapefruit from the total cost: $2.15-.89c= $1.26
There are 3 oranges so you have to divide $1.26 by 3
Money always on top so: $1.26/3= $0.42

Each orange costs $0.42
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Factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z​
Oliga [24]

<u>Part a)</u>

Given the expression

54m^3n\:+\:81m^4n^2

Apply exponent rule:    a^{b+c}=a^ba^c

54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn     ∵ m^4n^2=m^3mnn

Rewrite 81 as 3 · 27

Rewrite 54 as 2 · 27

                             =2\cdot \:27m^3n+3\cdot \:27m^3mnn

Factor out the common term:   27m³n

                              =27m^3n\left(2+3mn\right)      

Therefore,

54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)

<u>Part B)</u>

Given the expression

15x^2y^3z+25x^3y^2z+35x^2y^2z

Apply exponent rule:    a^{b+c}=a^ba^c

15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z

Rewrite as

                                               =3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z

Factor out common term 5y²x²z

                                                =5y^2x^2z\left(3y+5x+7\right)

Therefore,

15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)

8 0
3 years ago
Mindy opens a bank account with $55 and start saving five dollars per week. Sean’s grandma gives him $100 for his birthday, but
sveticcg [70]

Answer:

3 weeks, $45

Step-by-step explanation:

So we can make an equation!

55+5x=100-10x

So solving for x,

X=3

4 0
3 years ago
What is 5.37 as a mixed number.
Gnom [1K]
Answer: 5.37 as a mixed number is 5 37/100

To write a decimal number as a mixed number, you must separate the whole part of the decimal part:
5.37 = 5 + 0.37 = 5 0.37
And express the decimal part as a fraction:
0.37=37/100
Then:
Answer: 5.37 as a mixed number is 5 37/100
7 0
3 years ago
What is the range of the function?
Goryan [66]

Answer:

1. all real numbers less than or equal to 4 = </= 4.

Answer = YES!

2. all real numbers less than or equal to -3 = </= -3.

Answer = YES!

3. all real numbers greater than or equal to 4 = >/= 4

Answer = YES!

4. all real numbers greater than or equal to -3 = >/= -3

Answer = NO!

Step-by-step explanation:

1. all real numbers less than or equal to 4 = </= 4.

1 + 1 = 2

1 + 2 = 3

2 + 2 = 4

2. all real numbers less than or equal to -3 = </= -3.

1 - 1 = 0

1 - 2 = -1

1 - 3 = -2

1 - 4 = -3

3. all real numbers greater than or equal to 4

1 + 1 = 2

1 + 2 = 3

1 + 3 = 4

1 + 4 = 5

4. all real numbers greater than or equal to -3

1 - 1 = 0

1 - 2 = -1

1 - 3 = -2

1 - 4 = -3

3 0
3 years ago
At a baseball game, 3 drinks and 4 hotdogs cost $15.00. At the same game, 3 drinks and 1 hotdog cost $10.50. Find the cost for a
Serhud [2]

Answer:

$3

Step-by-step explanation:

Given data

Let the cost of drinks be x

and the cost of hotdogs be y

so

3x+4y=15-------1

also

3x+y= 10.5------2

solve 1 and 2

 3x+4y=15

-3x+y= 10.5

     3y= 4.5

divide both sides by 3

y= 4.5/3

y= $1.5

Put y= 1.5 in 1

3x+4(1.5)=15

3x+6= 15

3x=15-6

3x= 9

x= 9/3

x= $3

Hence the cost of a drink is $3

8 0
3 years ago
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