A lawyer charges his clients a consultation fee of $500 and $100 per hour to work on a case. This is represented by the linear function C = 100x + 500. If the lawyer increases his hourly rate to $150, how much more will he make on a 10-hour case? A) $250 B) $500 C) $750 D) $1000
What's the function rule, I don't understand how to write a function rule using the ordered pairs in this table
50 tens times 4 hundreds equals 40 tens times 5 hundreds
True, 50 tens times 4 hundreds equals 40 tens times 5 hundreds.
50 tens times 4 hundreds will equals 40 tens times 5 hundreds reason been if you multiply 50 by 4 hundred it will give us 20,000 and if you multiply 40 tens by 5 hundreds it will still give us 20,000.
Hence:
Multiplication
50×400=40×500
20,000=20,000
Inconclusion 50 tens times 4 hundreds will equals 40 tens times 5 hundreds.
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what is the square root of negative 2 times the square root of negative 18. Please show work.
The table shows the number of balls, by sport, in the gym.
A. The ratio of soccer balls to all balls is 4:25
B. For every 10 balls in the gym, 3 are basketballs
C. None of the above
The ratio of soccer balls to all balls is 4:25.
Given that;
The table shows the number of balls, by sport, in the gym.
Now, We have;
Number of soccer balls = 8
And, Total number of balls = 50
Hence, The ratio of soccer balls to all balls is,
⇒ 8 : 50
⇒ 4 : 25
Thus, We get;
The ratio of soccer balls to all balls is 4:25.
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Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, division, square, square root, cube, cube root) where the solution will be an irrational number. Explain why the result of your operations is an irrational number?
Which expression is equivalent to 9x^5+3x(4x^4-3x^2)^2
Answer:
[tex]48x^9-72x^7+36x^5[/tex]
Step-by-step explanation:
The initial expression is:
[tex]9x^5+3x(4x^4-3x^2)^2[/tex]
First expand the squared part (inside the parenthesis):
[tex]9x^5+3x(4x^4-3x^2)(4x^4-3x^2)\\9x^5+3x(16x^8-24x^6+9x^4)\\[/tex]
Then, multiply the terms inside the parenthesis by 3x applying the distributive property:
[tex]9x^5+3x(16x^8-24x^6+9x^4)\\9x^5+48x^9-72x^7+27x^5[/tex]
Finally add terms with the same exponent
[tex]48x^9-72x^7+36x^5[/tex]
Answer:
D. 48x^9-72x^7+36x^5
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Btw Look at you doing your school work looking smart! I see youuu! (even if you are cheating a lil but its ok im doing the same xD)
Help. Write the ratio as a unit rate.
A+B=44
A:B is equivalent to 4:7
what are A and B?
A is 16 and B is 28.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given
A:B = 4:7
A + B = 44
Let the common factor between A and B is x
then
4x + 7x = 44
11x = 44
x = 4
Therefore,
A = 16
B = 28
Hence, 16 and 28 are A and B respectively.
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Your bank account has in it. You deposit $5 per day.
(a) How much money is in your account after 5 days? Show your work.
(b)After you have made all of your deposits, you withdraw $2 a day until your account balance is $0. How many days will you withdraw $2? Show your work
In a video game, Val scored 30% fewer points than Peeta. Peeta scored 1060 points. How many points did Val score?
2 and 2/3 plus 4 and 2/5 = ?
Is 1.47 irrational or rational
a gardening company plants 10 trees in 2 hours how long will it take to plant 150 trees
10 trees / 2 hours = 5 trees per hour
150 trees / 5 per hour = 30 hours
What is the value of p in the equation p−18=38 ?
To reduce 32 grams of a 25% antiseptic solution to a 10% solution, how much distilled water should a pharmacist add?
Answer:
48 grams
Step-by-step explanation:
= 32 + 25 because 32 grams and 25 %
= 57 - 10 because there's 10%
= 47 + 1 because 10 ÷ 10 = 1
= 48
My teacher taught me it this way!☺
Find the value of x and AB if B is between A and C, AB = 2x, AC = 6x - 5 , BC = 7
The problem deals with the segment addition postulate. By setting up and solving the relevant equation (2x + 7 = 6x - 5), we find that x = 3. Therefore, the length of AB = 6.
Explanation:The subject of this question is segment addition postulate in mathematics. Given that B is between A and C, it implies that AB + BC = AC. From the problem, it's given that AB = 2x, AC = 6x - 5 and BC = 7. Setting up the equation would yield 2x + 7 = 6x - 5. Solving this equation gives us x = 3. Therefore, by substituting x=3 in AB = 2x we find that AB = 6.
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In skate boarding an ollie is a move in which the athlete pops the skateboard in the air, making it appear that the board and skateboarder are attached.At the 2009 X Games, one skateboarder completed 34 allies in 30 seconds. if he could keep up that rate, what would be his rate of allies per minute? What would be his rate per hour
The skateboarder's rate of ollies per minute would be 68 ollies per minute. The skateboarder's rate of ollies per hour would be 4080 ollies per hour.
Explanation:To find the rate of ollies per minute, we need to divide the number of ollies completed in 30 seconds by the number of seconds in a minute. In this case, the skateboarder completed 34 ollies in 30 seconds, so the rate of ollies per minute would be:
Rate per minute = (34 ollies / 30 seconds) × (60 seconds / 1 minute) = 68 ollies per minute
To find the rate of ollies per hour, we need to divide the number of ollies completed in 30 seconds by the number of seconds in an hour. In this case, the skateboarder completed 34 ollies in 30 seconds, so the rate of ollies per hour would be:
Rate per hour = (34 ollies / 30 seconds) × (3600 seconds / 1 hour) = 4080 ollies per hour
Subtract -6 4 -6 0 6 4 - -5 5 -4 -1 6 -4
Answer:
The result of the subtraction is [tex]\(57\).[/tex]
Explanation:
To subtract the numbers given, we need to add all the positive numbers and then subtract the sum of the negative numbers.
Positive numbers: [tex]\(6 + 4 + 6 + 4 + 5 + 5 + 6 = 36\)[/tex]
Negative numbers: [tex]\(-6 - 6 - 4 - 1 - 4 = -21\)[/tex]
Subtracting the sum of the negative numbers from the sum of the positive numbers:
[tex]\(36 - (-21) = 36 + 21 = 57\)[/tex]
So, the result of the subtraction is [tex]\(57\).[/tex]
What’s 2(2x+10)=3(x+6)
Expand and simplify [tex] (3x-2)^{2} [/tex]
A hole was dug 2 3/8 feet deep for a fence post. The fence post is 6 feet long. How far above the ground will the fence post be when it is placed in the hole? Enter your answer as a mixed number, in simplified form, in the box.
PLEASE ANSWER ASAP
[tex]\text{Answer: The fence post will be }3\frac{5}{8}\ feet\text{ far above the ground when it is placed in the hole.}[/tex]
Explanation:
Since we have given that
Length of hole dug for a fence post is given by
[tex]2\frac{3}{8}\ feet=\frac{19}{8}\ feet[/tex]
Length of the fence post = 6 feet
we need to find the length of the fence post above the ground is seen when it is placed in the hole.
So, Length of the fence post above the ground is given by
[tex]6-\frac{19}{8}\\\\=\frac{48-19}{8}\\\\=\frac{29}{8}\\\\=3\frac{5}{8}\ feet[/tex]
[tex]\text{Hence, the fence post will be }3\frac{5}{8}\ feet\text{ far above the ground when it is placed in the hole.}[/tex]
Heather is 8 years older than twice her nephew’s age. If Heather is 22 years old, how old is her nephew?
Find the equation of the line.
Use exact numbers.
Answer:
yup
Step-by-step explanation:
please quick problem :)
One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At midnight the temperature was −16.8 degrees. What was the temperature at 9 p.m.?
please T-T
multiply (-2/3)(1/6) as a simplified fraction
[tex]\left(-\dfrac{2}{3}\right)\left(\dfrac{1}{6}\right)=-\dfrac{1}{3}\cdot\dfrac{1}{3}=-\dfrac{1}{9}[/tex]
does anyone know? im lost!
someone please help me, and it says find the value of x and y.
and can someone help me do it step by step and explain it please
Simplify 12(A - B).
PLEASE HELPPPP
Find the measure of angle KLM.
This is an EXPLAIN YOUR THOUGHTS question which means you need to:
1) include the properties, theorems, etc. that you used to set up an equation.
2) Show the euqation you used to solve for x and thus solve for the angle measure of KLM
The measure of angle KLM is 64⁰
What are supplementary angles?Supplementary angles are two angles whose measures add up to 180⁰ In other words, when placed adjacent to each other, they form a straight line.
From the figure
Given
<J = (6x+4)⁰
<K = (8x + 18)⁰
<KLN = 180 -(20x +4) (supplementary angles)
In Triangle KLN
<J + <K + <L = 180⁰(sum of angles in triangle)
Substitute
(6x + 4) + (8x + 18) = (20x + 4)(sum of 2 int.<s is equal to exterior<)
Simplifying
6x + 8x - 20x = 4 - 4 - 18
14x -20x = -18
-6x = -18
x = -18/-6
= 3
Substitute into (20x + 4) to find the measure of angle KLM
20x +4 = 20(3) + 4
= 60 + 4
= 64⁰
The measure of angle KLM is 64⁰
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