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statuscvo [17]
3 years ago
13

Find two positive consecutive integers such that the square of the first added to three times the second is 24

Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

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I have $12 in the bank and I receive $4/hr babysitting. How many hours do I need to babysit to have $60?
lesya692 [45]

Answer:

12 hours

Step-by-step explanation:

You have $12 in your bank and you need to get to  $60 so

60-12= 48 , you need 48 dollars to reach to 60

48/4 = 12 hours. So if you get paid 4 dollars an hours, you only need to work 12 hours

6 0
4 years ago
Read 2 more answers
How much cardboard will be needed to make the box? 4 feet by 3 feet with a height of 2 feet
sergiy2304 [10]

Answer:

52 ft²

Step-by-step explanation:

When you are calculating the amount of cardboard needed to make a box, you are trying to the the <u>surface area</u>.

The formula for surface area of a rectangular prism is:

SA = 2(lw + hl + wh)

The dimensions for the box are written l X w X h (length times width times height).

We know:

l = 4

w = 3

h = 2

The units for surface area is the unit squared. Feet squared is ft². Be sure the include the units.

Substitute these numbers into the formula. When solving, solve in the BEDMAS order (brackets, exponents, division and multiplication, addition and subtraction).

SA = 2(lw + hl + wh) u²

SA = 2((4*3) + (2*4) + (3*2)) ft²      Multiply within each smaller bracket

SA = 2(12 + 8 + 6) ft²          Add inside the brackets

SA = 2(26) ft²        Multiply

SA = 52 ft²         Final answer

Therefore 52 square feet of cardboard will be needed to make the box.

8 0
3 years ago
An airplane descends 2.2 miles to an elevation of 8.55 miles. Find the elevation of the plane before its descent.
lutik1710 [3]

Answer:

10.75 miles was the elavation before it's decsecent.

Step-by-step explanation:

Hope this helps! :)

7 0
4 years ago
#7 Cecilia made a fruit basket for her grandmother. There were 3 bananas and 6 oranges in the basket. What is the ratio of the n
castortr0y [4]
The answer is A.

explanation:

the obvious ratio is 3:6, because there are 3 bananas and 6 oranges. if you simplify 3:6 it’s 1:2.

hope i helped :)
4 0
4 years ago
Read 2 more answers
Use summation notation to express each of the following calculations Add the scores and square the sum O 2(SX) Square each score
iragen [17]

a)

Add the score and then square the sum.

By using the summation notation we can write the above statement is (Σx)²

b)

Square each score and then add the squared values.

By using the summation notation we can write the above statement is Σx²

Subtract 2 point from each score and then add the resulting values.

By using the summation notation we can write the above statement is  Σ(x-2)

Subtract 1 point from each score and square the resulting values. Then add the squared values.

By using the summation notation we can write the above statement is Σ(x-1)²

7 0
4 years ago
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