Determine which integer(s) from the set S:{−18, 2, 15, 20} will make the inequality five sixths m minus four is less than one third m plus 5 false.
Number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.
As per the question statement, we are supposed to find the integer(s) from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.
Let's write the given statement in numeric form first, we get
[tex]\frac{5m}{6} -4 < \frac{m}{3} +5[/tex]
Let's solve the inequality for "m"
We get 3m/6 <9
or 3m <54
or m < 18
Therefore all values of m < 18 will make the inequality true and m>18 will make the inequality false.
The value of m > 18 in the above given set S:{−18, 2, 15, 20} is 20, hence number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.
Inequality: An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.To learn more about inequality and its concept, click on the link given below:
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Answer: its 20 or 15 i belieive its 20 tho
Step-by-step explanation:
What is the vertex form of the equation?
y = x² + 8x-6
Oy=(x-4)²-22
Oy=(x-4)² + 22
O y = (x+4)² - 22
Oy = (x+4)² + 22
Answer:
C
Step-by-step explanation:
One of the quick ways of getting the answer is to graph the equation. I have done that for you at the bottom of this answer. However, I think you want the written solution.
Equation
y = x^2 + 8x - 6 Put brackets around the first 2 terms
y = (x^2 + 8x) - 6 Take 1/2 the second term and square
8/2 = 4; 4^2 = 16 Put 16 after the second term
y = (x^2 + 8x + 16) - 6 Subtract 16 and put it after the 6
y = (x^2 + 8x + 16) -6-16 Combine
y = (x^2 + 8x + 16) - 22
The first 3 terms make a perfect square (x^2 + 8x + 16) = (x + 4)^2
So the answer is between C and A
y = (x + 4)^2 - 22
Which of these ordered pairs is NOT a solution to this system
Answer:
C
Step-by-step explanation:
to determine which ordered pair is not a solution , substitute the coordinates of the point into the inequalities and check the validity. Note that both inequalities must be true for the point to be a solution.
A (- 3, 3 )
3 ≥ - 3 - 5
3 ≥ - 8 ← true
3(3) < - 6(- 3) + 3
9 < 18 + 3
9 < 21 ← true
------------------------------------------
B ( - 1, 2 )
2 ≥ - 1 - 5
2 ≥ - 6 ← true
3(2) < - 6(- 1) + 3
6 < 6 + 3
6 < 9 ← true
------------------------------------------
C (4, 5 )
5 ≥ 4 - 5
5 ≥ - 1 ← true
3(5) < - 6(4) + 3
15 < - 24 + 3
15 < - 21 ← false
-------------------------------------------
D (- 6, 0 )
0 ≥ - 6 - 5
0 ≥ - 11 ← true
3(0) < - 6(- 6) + 3
0 < 36 + 3
0 < 39 ← true
--------------------------------------------
Both inequalities are true in A, B , D
Both inequalities in C are not true so (4, 5 ) is not a solution to the system
forty-two thousand, six hundred eighty-three times seven equals blank
296,702
296,576
298,781
299,852
Step-by-step explanation:
forty-two thousand, six hundred eighty-three times seven equals blank
42683 × 7 = _____
42683 × 7 = 298781
Size Weight (lbs)
Extra large 6/1/2
Medium 3/1/4
Small 1/5/8
How many times as heavy is the extra large pizza than the small pizza?
uite in simplest form.
After doing some mathematical operations, we conclude that extra large pizza is 4x times heavier than small size pizza.
What exactly are mathematical operations?The rules that specify the order in which we should perform multiple operations to solve an expression are known as the order of operations. Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are in the following order: PEMDAS (from left to right). A function in mathematics known as an operation is one that transforms zero or more input values into a clearly defined output value. The operation's complexity is determined by its operand count.So, times extra large pizza is heavy than small pizza:
Extra large pizza: 6½ ⇒ 13/2Small pizza: 1⅝ ⇒ 13/8Now, perform operations as follows:
(13/2)/(13/8)13/2 × 8/138/24Therefore, after doing some mathematical operations, we conclude that extra large pizza is 4x times heavier than small size pizza.
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The correct question is given below:
Use the Table that shows the weights of three sizes of pizza.
Extra Large Pizza - 6 1/2
Medium Pizza - 3 1/4
Small Pizza - 1 5/8
(A) How many times as heavy is the extra large pizza than the small pizza?
Spaceship model kids originally cost d dollars online. You buy each kit on sale for 30% of the original price, plus a shipping fee of $3.50 per kit. After assembly, you sell each model online for (2.5d + 5) dollars. What is your profit on each model spaceship sold?
Your profit on each model spaceship sold is; (1.2d + 1.5) dollars
How to solve Algebra Word problems?
We are told that the original cost of the spaceship model was d dollars. Now, you buy each kit on sale at 30% of the original price.
Thus;
Amount of each kit with the 30% of original price = 30%d = $0.3d
Total cost of each kit with shipping fee = (0.3d + 3.5) dollars
Now, he sells each model at (2.5d + 5) dollars.
Now, formula for profit is;
Profit = Selling Price - Cost Price
Profit = (2.5d + 5) - (0.3d + 3.5)
Profit = (1.2d + 1.5) dollars
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The length, d, of a violin string varies inversely as the frequency, f, of its vibrations (cycles per second). Suppose it is known that a 16-in.-long violin string vibrates 320 cycles per second.
A. Write an inverse variation equation modeling this information
B. Use your inverse variation equation from Part A to determine the frequency of an 8-inch-long violin string.
An 8-inch violin string has a frequency of 640 cycles per second using the inverse variation equation.
Who defines frequency?The pace of direction changes in current per second is known as frequency. It is expressed in hertz (Hz), a unit of measurement that is used internationally. One hertz is equivalent to one cycle per second. One hertz (Hz) is equivalent to one cycle per second.Given: A 16-inch violin string is known to vibrate at 320 cycles per second.
We know that,
Using the frequency equation where l for the length of the string and f for the frequency.
f = k/l
320 = k/16
k = 5120
So, the equation becomes f = k/l
For l = 8
f = 5120/8
f = 640
Therefore, the frequency of an 8-inch-long violin string is 640 cycles per second.
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At a local mini-mart, the cost of a bottle of
soda at the corner store is $1.40, and the
cost of a bag of chips is $0.85. What
would it cost to get 3 bottles of soda and 8
bags of chips? What would it cost to get x
bottles of soda and y bags of chips?
Total cost, 3 bottles of soda and 8 bags
of chips:
Total cost, x bottles of soda and y bags
of chips:
Total cost, 3 bottles of soda and 8 bags of chips: 9.15, Total cost, x bottles of soda and y bags of chips: 1.25x + 0.9y as calculated from the provided material through mathematical concepts.
What are general mathematical concepts?These basic mathematics skills are addition, subtraction, multiplication, and division. Concepts included in basic math include learning shapes, patterns, fractions, decimals, percentages, exponents, ratios, scientific notation, and formulas.
What are 5 concepts of mathematics?The five fundamental concepts which we aim to consider briefly are those of natural number, unknown, postulate, function and group
What are the 4 basic concepts of mathematics?These functions such as addition, subtraction, multiplication, and division have their application present even in the most advanced mathematical theories.
The total price can be calculated as it is equal to the unit price multiplied by the quantity.
3*1.25 + 6*0.9
= 3.75 + 5.4
= 9.15
Then if we take it as x and y, we get the equation
1.25x + 0.9y
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. A swim coach has at most $800 to buy equipment for the swim team. Each
pull buoy costs $5.50 and each kickboard costs $10. Let X represent the
number of pull buoys and y represent the number of kickboards.
a. Write an inequality for the scenario..
5.50x+10y_< 800 I already wrote the inequality now graph the inequality
A mathematical phrase in which the sides are not equal is referred to as being inequal. The point (80, 35) exists in the solution space. The coach could buy 80 pull buoys and 35 kick boards.
What is meant by inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
A mathematical phrase in which the sides are not equal exists directed to as being inequal. In essence, a comparison of any two values reveals whether one exists less than, larger than, or equivalent to the value on the opposite side of the equation.
A) The sum of costs must not exceed the budget:
5.50x +10.00y ≤ 800
B) Let the inequality be 5.50(0) +10.00(50) = 500 ≤ 800
Yes, the coach could buy these
C) Let the inequality be 5.50(125) +10.00(25) = 937.50 > 800
No, they cost too much
D) The point (80, 35) exists in the solution space. The coach could buy 80 pull buoys and 35 kick boards.
The complete question is:
A swim coach has at most $800 to buy equipment for the swim team. Each pull buoy costs $5.50 and each kickboard costs $10. Let x represent the number of pull buoys and y represent the number of kickboards.
A) Write an inequality for the scenario
B) could the coach purchase zeros pull buoys and 50 kickboards?
C) could the coach purchase 125 pull buoys and 25 kickboards?
D) What other combination of pull buoys and kickboards works for your inequality?
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no joking around and no links
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by 4.9t² + 142t+ 346. h(t) Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
A.The rocket splashes down after seconds. Round your answer to the nearest second.
B.How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level. Round your answer to the nearest meter.
a. The rocket splashes down after 31.23 seconds.
b. The rocket is 1374.7 meters above sea level.
NASA launches a rocket at t=0 seconds.
Its height, in meters above sea-level, as a function of time is given by
h(t)=-4.9t²+142t+346.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
When splash down occurs, h(t) = 0, therefore
-4.9t²+142t+346 = 0
find t using the quadratic formula; a=4.9, b=142, c=346
t = -142 ± √(142)² - 4(-4.9)(346) / 2(-4.9)
t = -142 ± 164.15 / -9.8
t = -142+164.15/-9.8 , -142-164.15/-9.8
t = 22.15/-9.8 , -306.15/-9.8
t = -2.26 , 31.23
time cannot be negative so t = 31.23
The rocket splashes down after 35.8229 seconds.
The max occurs on the axis of symmetry, use x=-b/(2a) to find it
t = -142/2(-4.9)
t = 142/9.8
t = 14.48 sec
replace t with 17.2449 in the equation
h(t) = -4.9(14.48)² + 142(14.48) + 346
= 1374.7 m
The rocket peaks at 1374.7 meters above sea-level.
Hence we get the answers.
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Find the slope of a line that passes through the following two points: (-1, -4) and (2, 2).
Answer:
-2/3
Step-by-step explanation:
y=mx+c
m is the gradient/slope
m= y2-y1 / x2-x1
you can label any point as your x1y1 and x2y2, you will still get the same answer
11.The side length of a square seat cushion is √65 square inches. Determine
whether the side length is rational or irrational. Then explain your
reasoning.
The side length of the square seat cushion which was given as; √65 is an irrational number.
What are rational and irrational numbers?It follows from the task content that the side length of the square seat cushion is to be determined as rational or irrational.
It follows from the definition of rational numbers that they are numbers which can be written as a ratio of quotients (fractions) while irrational numbers are the exact opposite and can not be expressed as a ratio of quotients.
Hence, since the number given √65 is not a perfect square, it follows that the number is an irrational number.
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A flight to Sydney to Auckland takes 3 hours and 12 minutes, Auckland times is 2 hours ahead of Sydney's if the flight departed Sydney at 10:10 am at what time did it arrive at Auckland
Flight will reach Auckland at 11:22 am with respect to Auckland time.
We have the following given information which states as follows
A flight to Sydney to Auckland takes 3 hours and 12 minutes.
∴ Total journey time = 3hr 12min.
Auckland times is 2 hours ahead of Sydney's time.
∴ Change in time will be 2hr
The flight departed Sydney at 10:10 am
∴ Flight will reach Auckland after the journey time
∴ Flight will reach Auckland after 3hr 12min
∴ Flight will reach Auckland at 01:22 pm
But Auckland times is 2 hours ahead of Sydney's time.
∴ Change in time will be 2hr
∴ Flight will reach Auckland 2hr less than the considered reach time with respect to Sydney.
∴ Flight will reach Auckland at 11:22 am.
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PLEASe HELP I NEED NUMBER 1 there is an ex sample I need the answer and work to it that looks like the ex sample
a) 20% 60 of is 12
b) 25% of 24 is 6
c) 4% of 600 is 24
Here the problem we are dealing with is related to percentage, which could be a division or a proportion in which the value of the entire is continuously 100. is represented by the symbol "%".
a) let us consider the missing number to be x
so, the problem will be 20% of x= 12
=> 20/1000* x= 12
=>20x= 12*100
=> x= 12*100/20 = 60
b) let the percentage be x
so, the problem will be x% of 24 =6
=>x/100* 24= 6
=>24x=600
=>x=600/24 =25
c) here, we are given 4% of 600=?
=4/100* 600
=24
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x-y=5 find the x and y intercepts
what do i do to create a graph for c=3p
Answer: Graph the line using the slope and y-intercept, or two points.
Slope: 3
y-intercept: (0,0)
Step-by-step explanation: Example graph for c=3p .
uestion 14 (2 points)
3
What is the equation of a line that passes through point (3,-5) and is perpendicular to y = -x+5?
Enter your answer with no spaces.
A/
A line that passes through point (3,-5) and is perpendicular to y = -x+5 has the equation y = x - 8.
What is a straight line equation?A straight line has an equation of y=mx + c, where m is the gradient and c is the constant, also known as the y-intercept, at which the line crosses the y-axis.
How do you determine the line's equation?In order to put the equation in y-intercept (y = mx + b) form and determine the equation of a graphed line, first determine the slope and y-intercept.
It is given that a line's equation passes through point (3,-5) and is perpendicular to y = -x+5.
Slope of given line = -1
Slope of line perpendicular to the given line = Negative of the reciprocal of the slope of a given line = 1
We have the slope and point (3,-5) of the required line. So, we can find the constant of this equation.
y = mx + c
-5 = 1(3) + c
c = -5 - 3
c = -8
Substituting c = -8 and m = 1 to get the equation of required line.
y = mx + c
y = x - 8
As a result, the equation of a line passing through point (3,-5) and perpendicular to y = -x+5 is y = x - 8.
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V = 2/9πr³
Solve for r
Answer:
Step-by-step explanation:
step 1: multiply both sides by 9π to get V9πr³=2
step 2: divide both sides by V9π to get r³=2/(V9π)
step 3: take the cubed root of both sides to get r=∛[2/(V9π)]
100pts!!! PLS SHOW WORK!!
Answer:
it says 50 points
Step-by-step explanation:
Answer:
can u give me a hint?
Step-by-step explanation:
I WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!
you have to show your work
the scores 4, 6, x, 8, 10 are written in acsending order. find the value of x if the mean of the set equals the median
Answer:
7
Step-by-step explanation:
(4+6+7+8+10)/5=7
the median is the middle number=7
Given equal probabilities of the birth of a xy or xx, what is the probability that a group of four siblings includes all xy? all xx? all xy or all xx?.
The probability that a group of four siblings includes all XY is 1/16 (6.5%), while the probability all XX offspring is 1/16 (6.5%). It is a simple genetic probability calculation.
Genetic probabilities and chromosomes
Females inherit two chromosomes X, whereas males inherit one chromosome X and one chromosome Y.
The probabilities of inherent two chromosomes X (females) are 1/2 (50%), while the probabilities of inherent one chromosome X and one chromosome Y (males) are also 1/2.
In consequence, the probability that a group of four siblings includes all XY is 1/16 (because it is equal to 1/2 x 1/2 x 1/2 x 1/2 = 1/16), the same for the probability all XX offspring (1/16).
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Selena is 2 years older than Maria, and Sofia is 3 years younger than Maria. If the sum of their ages is 44, then how old is each girl? (Let Maria’s age =
x
.)
Which number is not in scientific notation? (3 points)
Group of answer choices
0.5 ⋅ 103
2.01 ⋅ 10−2
1.3 ⋅ 10−4
6 ⋅ 1025
Answer:
0.5 ⋅ 103
Step-by-step explanation:
if 180 is 37.5% of the whole what would be the whole
thirteen thousand, forty-one and six ten-thousandths in numbers
also
thirteen thousand, forty-one and six ten-thousandths in numbers
Answer: for number 1 13,416
Step-by-step explanation: i think that is the correct answer i could be wrong
If benzene has a density of 0.8787 g/mL, what is the volume of 131.8 g of benzene?
The benzene has a volume value of 149.99 mL
How to determine the volume of the benzene?From the question, the given parameters are
Density of benzene = 0.8787 g/mL
Mass of benzene = 131.8 g
The volume of the benzene is then calculated using
Density = Mass/Volume
Make Volume the subject of the formula
So, we have
Volume = Mass/Density
Substitute the known values in the above equation
So, we have the following equation
Volume = 131.8/0.8787
Evaluate the quotients in the equation
Volume = 149.99
Hence, the volume of the benzene is 149.99 mL
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How much greater is the average temperature on Earth than the average temperature on Jupiter? According to the picture.
The average temperature on Earth than the average temperature on Jupiter is greater by
225°F.
What is temperature?Temperature simply means the degree of hotness and coldness that can be found in a body.
Average temperature on Earth = 59°F
Average temperature on Jupiter = -166°F
Therefore, the increase will be illustrated as:
= 59 - (-166)
= 59 + 166
= 225°F
The correct option is 225°F
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Which graph shows the solution to this system of inequalities?
y> 3x-4
y>x +1
Answer:
Step-by-step explanation:
it is D i took the test
How could you use parallel lines to compare figures Q and R? Explain your
reasoning.
Answer:
Answer down below!
Step-by-step explanation:
Using your knowledge of parallel lines, you know that parallel lines are most often time never touching, but on the same plane. The top of R and the bottom line of Q are parallel because they don't intersect each other.
We also notice that the shapes are the same length, so we have this conclusion!
Q and R are identical because they share opposite, parallel lines.
Eugene bought magazines for $6 each and paperback books for $3 each for a total of $54. Define your variable and write an equation in standard form to represent the situation
The standard form of the equation representing magazines and paperback books bought is is 6x + 3y = 54
How to find the equation in standard formInformation given in the question include:
Eugene bought magazines for $6 each and paperback books for $3 each total of $54
Definition of variables
let the number of magazines bought be x
let the number of paperback books bought be y
The total amount paid for the magazines = $5 * x = 6x
The total amount paid for the paperback books = $3 * y = 3y
Finding the equation
Summing the amounts paid to be equal to the total amount spent which is $54 is given in the equation as written below
6x + 3y = 54
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