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Bogdan [553]
3 years ago
10

Solve the equation for x: x/2 - 24 = 50

Mathematics
1 answer:
RoseWind [281]3 years ago
3 0

Answer:x=148

Step-by-step explanation:148 divided by 2=74. Then 74 - 24 = 50

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Carla is a waitress at Daybreak Diner and she earns $5 for each hour she works. Last week she earned 148 total including $68 tip
Zigmanuir [339]

Answer: 16 hours

Step-by-step explanation:

Given

Carla earns \$5 for each hour she works

Last week she earned $148 total including \$68 tip

So, the sum of hourly income and must be equal to the total money earned

Suppose she works for x hours

\Rightarrow 5x+68=148

\Rightarrow 5x=148-68\\\Rightarrow 5x=80\\\Rightarrow x=16\ \text{hours}

Thus, she works 16 hours last week

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3 years ago
What is the axis of symmetry of the function f(x)=-(x+9)(x-21)
Firlakuza [10]
Carry out the mult.:  f(x) = -[x^2 - 21x + 9x - 189] 

Combine like terms:  f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [   ]:      f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c:   a= -1, b=12, c=189

The equation of the axis of symmetry is    x = -b/(2a), which here equals

x = -(12)/[2(-1)], or     x = 6

This is also the x-coordinate of the vertex.  Plug x=6 into the original equation to calculate the y-coordinate.
3 0
3 years ago
During a sale all pillows are 1/4 of th regular price write an expression that represents the amount of money saved on a pillow
grin007 [14]
D(1-1/4)
=3/4d
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3 0
4 years ago
URGENT HELP PLEASE! Write the equation of the line fully simplified in slope-intercept form.
nekit [7.7K]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 + 45 - 135 + ...
nalin [4]

Answer:

<em>summation of five times negative three to the power of n from n equals zero to infinity</em>

Step-by-step explanation:

<u>Summation Notation </u>

It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:

5-15+45-135+...

If we take 5 as a common factor, we have

5(1-3+9-27+...)

The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1

The summation is then represented by

\sum_{n=0}^{\infty}5(-3)^n

This corresponds with the option:

<u>summation of five times negative three to the power of n from n equals zero to infinity</u>

8 0
3 years ago
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