To write a situation for the inequality 15x - 20 ≤ 130 and solve it, let's assume that x represents the number of hours a student can study. The solution to the inequality is x ≤ 10, meaning the student needs to study for 10 hours or less to complete the required amount of work.
Explanation:To write a situation for the inequality 15x - 20 ≤ 130, let's assume that x represents the number of hours a student can study. In this situation, the left-hand side of the inequality represents the amount of work the student has already completed (15x - 20) and the right-hand side represents the total amount of work the student needs to complete (130). The inequality states that the amount of work completed should be less than or equal to the total amount of work required. To solve the inequality, we can follow these steps:
Add 20 to both sides of the inequality: 15x - 20 + 20 ≤ 130 + 20, which simplifies to 15x ≤ 150.Divide both sides by 15 to isolate the variable x: 15x/15 ≤ 150/15, which simplifies to x ≤ 10.Therefore, the solution to the inequality is x ≤ 10. This means that the student needs to study for 10 hours or less in order to complete the required amount of work.
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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)
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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Find the equation of the line.
Use exact numbers.
Answer:
yup
Step-by-step explanation:
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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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
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]
Help. Write the ratio as a unit rate.
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]
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 = ?
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
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
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
Combining like terms
simplify each expression
4n - n
what is the square root of negative 2 times the square root of negative 18. Please show work.
What’s 2(2x+10)=3(x+6)
Heather is 8 years older than twice her nephew’s age. If Heather is 22 years old, how old is her nephew?
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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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!☺
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?
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
Simplify 12(A - B).
Expand and simplify [tex] (3x-2)^{2} [/tex]
What's the function rule, I don't understand how to write a function rule using the ordered pairs in this table
What is the value of p in the equation p−18=38 ?
Show one way to count from 82 to 512
does anyone know? im lost!
Is 1.47 irrational or rational
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]