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denpristay [2]
3 years ago
11

PLEASE HURRY AND HELP

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0
<h3>Answer:  12</h3>

==========================================================

Work Shown:

x = first number

x+1 = second number

x+2 = third number

x+3 = fourth number

x+4 = fifth number

Note how the numbers are one after another. Consecutive numbers follow this pattern. For example: 6,7,8,9,10 are consecutive numbers. One number follows right after the other.

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

Add up those five expressions. Set the sum equal to 70 and solve for x

(x)+(x+1)+(x+2)+(x+3)+(x+4) = 70

(x+x+x+x+x)+(1+2+3+4) = 70

5x+10 = 70

5x = 70-10

5x = 60

x = 60/5

x = 12 is the first number and the smallest number

x+1 = 12+1 = 13 is the second number

x+2 = 12+2 = 14 is the third number

x+3 = 12+3 = 15 is the fourth number

x+4 = 12+4 = 16 is the fifth number

Check:

12+13+14+15+16 = 70

which confirms our answer

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

You could use a guess and check method, but the algebraic approach is much more efficient.

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what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.
Leokris [45]

Answer:

To find the sum of  a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b  are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When  a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

a+ b= 8 +(-2) =6

I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction=\frac{p}{q} and b = Any fraction=\frac{u}{v}

now ,

\frac{p}{q} + \frac{u}{v}

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their  L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then ,\frac{p}{q} + \frac{u}{v}

=\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\

= {{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k

then ,

a + b=\frac{k}{r}





5 0
3 years ago
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Answer:

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Step-by-step expanation:

6 0
3 years ago
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Yanka [14]

Answer:11.7

Step-by-step explanation:

1. Recognize variables. Starting price is 9, it’s increasing by 1.5% each year, the question asks for the price in 20 years.

2. Convert percentage to decimal. Most calculators won’t understand multiplying by percentages, and instead will understand multiplying by decimals. A decimal is something we can easily work with. It is more commonly taught to work with decimals as well. With that said 1.5% equals .015. (The number in the ones place in the percentage is always in the hundredths place when converted to a decimal, the tens to the tenths, the hundreds in the percentage to the ones place in the decimal, the hundredths in the percentage to the ten thousandths in the decimal. Basically, every individual number [the 5 in 1.5] moves two spaces to the right when going from percentage to decimal form, likewise two to the left going from decimal to percentage form. 23%=.23, 104%=1.04, 0.5%=.05, 1.234%=.01234)

3. Make your equation

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9*(.015) gives you the amount the price increases per year

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5 0
3 years ago
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VARVARA [1.3K]

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Step-by-step explanation:

The general formula for the area of a circle is:

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A = (3.14)(8²)

Since the size of the pizza is 16 inches across, the radius is half of that, or 16÷2 = 8 inches.

A ≈ 201 in²

Since there 8 slices of pizza, you can take the total area and divide by 8:

201 ÷ 8 ≈ 25 in²

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Diffrenet machines pack boxes which ratio represents each og the machine
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