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Elanso [62]
3 years ago
12

The sum of three consecutive numbers is 75. What is the smallest of these numbers let n represent the smallest number

Mathematics
2 answers:
Bogdan [553]3 years ago
7 0
75= 26+25+24
24 is your answer
damaskus [11]3 years ago
7 0
N + n + 1 + n + 2 = 75
3n + 3 = 75
3n = 72
n = 26
The smallest number is 26.
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*) Eric works at the deli on weekends to earn extra money. He makes $10 per hour making
algol13

Answer:

A=\dfrac{1}{2}(10s+14d)

Step-by-step explanation:

Given that,

He makes $10 per hour making  sandwiches, and $14 per hour delivering orders.

Let there are s sandwiches and d is delivering orders.

Eric puts half of his total earnings in a  savings account for college.

The expression that represents the total amount of money Eric saves for working s hours making sandwiches and d hours delivering orders.

A=\dfrac{1}{2}(10s+14d)

Hence, this is the required solution.

8 0
3 years ago
Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.
Mkey [24]

Answer:

1.~e^{-2} \\2.~e^{\frac{7}{2}}\\3.~e^8\\4.~e^{\frac{-11}{2}}

Step-by-step explanation:

We have to simplify the given exponential exponents.

Exponential Properties:

e^0 =1\\e^a.e^b = e^{a+b}\\\\\displaystyle\frac{e^a}{e^b} = e^{a-b}\\\\(e^a)^b = e^{ab}\\\\e^{-a} = \frac{1}{e^a}

Simplification takes place in the following manner:

a)

(e^{-3})^\frac{2}{3}\\(e^a)^b = e^{ab}\\=e^{-3\times \frac{2}{3}}\\=e^{-2}

b)

(e^4)(e^{\frac{-1}{2}})\\e^a.e^b = e^{a+b}\\=e^{(4+\frac{-1}{2})} \\= e^{\frac{7}{2}}

c)

(e^{-2})^{-4}\\(e^a)^b = e^{ab}\\= e^{-2\times -4}\\=e^8

d)

(e^{-4})(e^{\frac{-3}{2}})\\e^a.e^b = e^{a+b}\\=e^{(-4+\frac{-3}{2})} \\= e^{\frac{-11}{2}}

4 0
3 years ago
Which expression is equivalent to (x+3)+y?
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Answer:

b

Step-by-step explanation:

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5 0
3 years ago
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Graph y = -4/3x + 8
egoroff_w [7]

Answer:

<em>Graph below</em>

Step-by-step explanation:

<u>Graph of a Function</u>

We are given the function

y = f(x) = -4/3x + 8

Since this is the equation of a line, we only need two points to draw the graph, but we'll calculate some points more.

Select values for x={-3, 0, 3, 6, 9}

For x=-3:

y = -4/3(-3) + 8 = 4 + 8 = 12

Point (-3,12)

For x=0:

y = -4/3(0) + 8 = 0 + 8 = 8

Point (0,8)

For x=3:

y = -4/3(3) + 8 = -4 + 8 = 4

Point (3,4)

For x=6:

y = -4/3(6) + 8 = -8 + 8 = 0

Point (6,0)

For x=9:

y = -4/3(9) + 8 = -12 + 8 = -4

Point (9,-4)

Now plot the points in a rectangular grid and join them. The graph is shown below.

7 0
3 years ago
Choose the point slope form of the equation
vlada-n [284]

Answer:

Step-by-step explanation:

y+3=1/2(x-6)

8 0
3 years ago
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