The solution to the given linear inequality is x > 1
Solving Linear inequalitiesFrom the question, we are to solve the given linear inequality.
The given linear inequality is
3x - 2 > 4 - 3x
Solving the inequality
3x - 2 > 4 - 3x
Add 3x to both sides
3x +3x - 2 > 4 - 3x + 3x
6x - 2 > 4
Add 2 to both sides
6x - 2 + 2 > 4 + 2
6x > 6
Divide both sides by 6
6x/6 > 6/6
x > 1
Hence, the solution is x > 1
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An airplane descends at a rate of 25 feet per minute. What is the airplane's change in
altitude after 10 minutes? Interpret the product.
Answer:
-250 feet
Step-by-step explanation:
-25x10=-250
Rent-An-Suv charges an $80 fee to rent a truck and $12 per mile. Another
rental company charges a $150 fee to rent a truck and $8.50 per mile. The
two rental companies will cost the same amount at how many miles?
Answer:
The two rental companies will cost the same amount at 20 miles.------------------------------------
Let the number of miles be x.
Then we have the following equation:
80 + 12x = 150 + 8.5x, Here the LSH is representing total for one company and the RHS - for the second company.Solve it for x:
12x - 8.5x = 150 - 803.5x = 70x = 70/3.5x = 20Find the slope on the graph.
Answer:
-1/2
Step-by-step explanation:
Rise/Run
How do you find the slope and y-intercept of a graph?
The slope and y-intercept of a graph can be determined by examining the equation of the line.
The slope is the coefficient of the x-term (the number next to x in the equation) and the y-intercept is the number that the line crosses the y-axis (the constant in the equation). For example, if the equation of a line is y = 2x + 5, then the slope is 2 and the y-intercept is 5. To graph the line, you can use the slope and y-intercept. Start at the y-intercept and move up or down the number of units indicated by the slope. For example, if the slope is 2, move two units up or two units down and plot a point. Repeat this process until the graph is complete.
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What is the equation of a line that passes through 1 2 and is perpendicular to the given line?
The equation of the line that passes through (1,2) and is perpendicular to the given line is y = -x + 3 with slope 2.
Given line: y = 2x - 1
We know that two lines are perpendicular if their slopes are negative reciprocals of each other.
The provided line's slope is m1 = 2.
Therefore, slope of the line that passes through (1,2) and is perpendicular to the given line = m2 = -1/2
Now, we can use the point-slope equation of a line to find the equation of the line:
y = -x + 3
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What is her monthly cost?
Answer: Juana's monthly cost is .05 per text. Tonya's is .5 per text. The correct answer to your question is Tonya pays $20 for 150 messages because that is not true
Step-by-step explanation:
if we take a sample of ice from 10 meters beneath the surface and find that it is 1,000 years old, where would we need to look for ice that is about 10,000 years old?
Answer: 100 meters
Step-by-step explanation:
10 meters = 1,000 years old
50 meters = 5,000 years old
and so 100 meters = 10,000 years old
hope this helps you!
A person carries a mass of 10 kg and walks along the +x-axis for a distance of 100m with a constant velocity of 2 m/s. What is the work done by this person?.
Work done by the person for the displacement of 100m along +x-axis with constant velocity and mass of 10kg is equal to 0Joule.
As given in the question,
Mass of a person 'm' = 10kg
Displacement of the person while walking along +x axis 'd'= 100m
Constant velocity = 2m/s
Let 'w' be the work done by the person
Work = Force × Displacement
Force = mass × acceleration
Acceleration = (final velocity - initial velocity)/ total time taken
Here, Constant velocity ⇒final velocity - initial velocity = 2- 2
= 0m/s
⇒Acceleration = 0m/s²
⇒Force = 10 × 0
= 0Kgm/s²
⇒Work done = 0 × 100
= 0 Joule
Therefore, work done by the person for the given displacement, velocity, and mass is equal to zero Joule.
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what is 75 divided by 688
Answer: 0.109011627907
Step-by-step explanation:75 divided by 688 =0.109011627907
Solve using elimination. –x − 7y = –20 –6x − 7y = –15
Answer:
x = −1 and y = 3
Multiply the second equation by -1, then add the equations together.
(−x−7y=−20)
−1(−6x−7y=−15)
Becomes:
−x−7y=−20
6x+7y=15
Add these equations to eliminate y:
5x=−5
Then solve5x=−5for x:
5x=−5
5x/5 = -5/5
x = -1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−x−7y=−20
Substitute−1 for x in −x −7y = −20:
−(−1)−7y=−20
−7y+1=−20(Simplify both sides of the equation)
−7y+1+−1=−20+−1(Add -1 to both sides)
7y = -21
-7y/-7 = -21/-7
y=3
when a single card is drawn from a standard 52-card deck, what is the probability that it will be a king or a diamond?
The probability that it will be a king or a diamond is 4/13
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Here, we have
There are 52 cards, of which 4 are kings.
There are 52 cards, of which 13 are diamonds.
But there are only 3 cards that are kings which are not diamonds, and only 12 cards that are diamonds but not kings, there’s one card that is both a king and a diamond.
So, there are 3/52+12/52=15/52 chances of drawing a card that is king or diamond but not both.
There are 3/52+12/52+1/52=16/52 chances of drawing a card that is king or diamond or both.
Hence, the probability that it will be a king or a diamond is 4/13.
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two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000
The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.
Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.
The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000Read more about panel:
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Aaron deposits $20,000 in a bank account that earns 5.9%
compounded quarterly. The amount of money, A, in the
account can be determined by the formula
A = 20,000 (1 + 0.059) 41
where t is the number of years that the money is in the
bank. How much money does Aaron have after 10 years?
$17,972.10
0 $30,872.31
O $13,804.20
O $35,924.64
Answer:
Answer:A=20000(1+0.059)^10A=$35,480.49
Step-by-step explanation:
this type of bias occurs when individuals with certain characteristics are less likely to respond to surveys than others.
As per the concept of survey, Nonresponse is the type of bias that happens when individuals with certain characteristics are less likely to respond to surveys than others.
What is the working process of survey?
In general terms, survey refers a set of questions people are asked to gather information or find out their opinions, or the information gathered by asking many people the same questions.
Here we need to find the type of bias occurs when individuals with certain characteristics are less likely to respond to surveys than others.
As we know that, when respondents to a survey question or the entire survey are unable or unwilling to respond, this is known as nonresponse bias. Individuals have many excuses for not responding and a cause of error must be systematic in order to be categorized as biased.
Here the distinction between respondents and non-respondents frequently plays a role in explaining why there was no response.
Therefore, Non-response bias, also known as participation bias, is sometimes the result of shoddy survey design and poor questionnaire targeting.
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Find the value of sin U rounded to the nearest hundredth, if necessary.
26
24
W
10
The value of sin U of the right triangle is as follows:
sin U = 12 / 13
How to find the side or angle of a right triangle?A right angle triangle are triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the angles position. The sides of a right triangle are as follows:
opposite sideadjacent sidehypotenuse sideThe angles and side of a right triangle can be found using trigonometric ratios as follows:
sin U = opposite / hypotenuse
where
opposite side = 12
hypotenuse side = 13
Hence,
sin U = 12 / 13
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write the standard form of the equation of each line given the slope and y-intercept
slope= -¼ y-intercept = 0
slope= -1 y-intercept = -2
slope = -1 y- intercept= -1
slope= -2 y-intercept= 0
45% of the children in a school have a dog, 30% have a cat, and 18% have a dog and a cat. a) what percent of those who have a dog also have a cat? b) what percent of those who have a cat also have a dog?
(a) the percent of those who have a dog also have a cat is 40% .
(b) the percent of those who have a cat also have a dog is 60% .
In the question ,
it is given that ,
the percent of children who have a dog = 45% ,
the percent of children having cat = 30%
the percent of children having dog and cat = 18% ,
Part(a)
the percent of children that have a dog also have a cat is
= (number of children that have dog and cat)/(number of children having dog)
= 18/45
= 0.4 = 40% .
Part(b)
the percent of children that have a cat also have a dog is
= (number of children that have dog and cat)/(number of children having cat)
= 18/30
= 0.6 = 60% .
Therefore , the required percent for part(a) is 40% and part(b) is 60% .
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a ball of radius 16 has a round hole of radius 5 drilled through its center. find the volume of the resulting solid.
The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.
Given that,
A circular hole of radius 5 has been bored through the center of a ball with a radius of 16.
We have to determine the resulting solid's volume.
We know that,
Volume of the original ball= 4/3πr³
Radius r=16
Volume v₁=4/3π(16)³ = 16384π/3
Volume of hole = 4/3πr³
Radius r=5
Volume v₂=4/3π(5)³ = 500π/3
Volume of the resulting solid = v₁-v₂
= 16384π/3 - 500π/3
= 15882π/3
= 16623
Therefore, The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.
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If a rectangle is 11 feet long and 5 feet wide, what is its area in square feet?.
Answer: 55 square feet
Step-by-step explanation:
To find area:
Length * Width
11 * 5 = 55
Answer: 55 sq. feet
explanation : 5 x 11 is 55, so 55 square feet
when multiplied it equals -32 but when added it equals -4
Answer: -8 and 4 or 16 and 2
Step-by-step explanation:
A pair of integers that satisfies the given conditions is -8 and 4.
When multiplied, the product of -8 and 4 is -32. When added, the sum of -8 and 4 is -4. Therefore, -8 and 4 are a pair of integers that satisfies the given conditions.
To verify this solution, we can multiply -8 and 4 to get -32, and then add -8 and 4 to get -4. This confirms that -8 and 4 are a valid solution to the problem.
It is also possible to find other pairs of integers that satisfy the given conditions. For example, another pair of integers that satisfies the given conditions is -16 and 2. When multiplied, the product of -16 and 2 is -32. When added, the sum of -16 and 2 is -4. Therefore, -16 and 2 are another pair of integers that satisfies the given conditions.
Bilquis owns a food truck that sells tacos and burritos. She sells each taco for $4 and each burrito for $6.25. Bilquis must sell a minimum of $630 worth of tacos and burritos each day. Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint.
The inequality that could represent the possible values for the number of tacos sold and the number of burritos sold is 4t + 6.25b ≥ 630.
What inequality that could represent the possible values for the number of tacos sold?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
The inequality that could represent the possible values for the number of tacos sold and the number of burritos sold will be:
4(t) + 6.25(b) ≥ 630.
4t + 6.25b ≥ 630.
Therefore, the inequality is 4t + 6.25b ≥ 630..
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Write an equation of a line in lope intercept form that pae through (1,5) and i parallel to y=4x2
The equation of the line is y = 4x + 9
Given,
The points; (x₁, y₁) = (1, 5)
The line is parallel to, y = 4x - 2
Here,
The line given is in the Slope Intercept Form
y = mx + b
y = 4x - 2
Parallel Lines have the same slope
So,
Slope, m = 4
Then,
y = 4x + b
Since it passes through point p(1, 5) we can use these coordinates to solve for b
5 = -4 + b
Solve for b
9 = b
Therefore, the equation of the line;
y = 4x + 9
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100 POINTS HELP ME PLEASE ILL GIVE BRAINLIEST ASAP
Answer:
B
Step-by-step explanation:
Do old total minus the new total to get the difference then divide by old to total.
The correct answer would be (B).
Which of the following equations has the solutions shown in the graph?
-5-4-3-2
7
n
2
w
+
&
a.
y=x²-3x+ 2
b. y=x²+2x-3
1 23 4
C. y=x²+x-6
d.
y=x²-x-6
Answer: can you provide the graph so i can give an answer?
Step-by-step explanation:
Yaritza runs a farm stand that sells peaches and grapes. Each pound of peaches sell for $2.50 and each pound of grapes sells for $3.75. Yaritza made $225 from selling a total of 75 pounds of peaches and grapes. Graphically solve a system of equations in order to determine the number of pounds of peaches sold, x, and the number of pounds of grapes sold, y.
The amounts of each substance are given as follows:
Peaches: 45 pounds. Grapes: 30 pounds.How to solve the system of equations graphically?The graphic solution of a system of equations is given by the point of intersection of the equations that compose the system.
The variables that define the system in this problem are given as follows:
Variable x: number of pounds of peaches sold.Variable y: number of pounds of grapes sold.Yaritza sold a total of 75 pounds of peaches and grapes, hence:
x + y = 75.
Each pound of peaches sell for $2.50 and each pound of grapes sells for $3.75, and she made $225, hence:
2.5x + 3.75y = 225.
As given by the image at the end of the answer, the intersection of these two equations in the graph is given as follows:
(45, 30).
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Triangle EFG is similar to triangle HIJ.find the measure of side HI round answer to nearest ten
Since the ΔEFG is similar to ΔHIJ, so side HI is equivalent to the measure of length of segment [EF] divided by the scale factor [K].
What is Parallelogram? What is triangle?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. TThe sum of all the angles of a triangle is 180 degrees. Mathematically - ∠x + ∠y + ∠z = 180°There are different types of triangles such as -equilateral triangle, scalene triangle, isosceles triangle etc.
We have triangle ΔEFG is similar to triangle ΔHIJ.
Since ΔEFG is similar to triangle ΔHIJ, then we can write -
EF/HI = FG/IJ = EG/HJ = K [constant]
Since the side lengths are not given, we can write -
EF/HI = K
HI = EF/K
Therefore, since the triangles ΔEFG is similar to ΔHIJ, the side HI is equivalent to HI = EF/K.
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What value of x makes the equation 52(x−2)=4 true?
Answer:
To solve for the value of x that makes the equation 52(x−2)=4 true, we need to first isolate the x term on one side of the equation. We can do this by dividing both sides of the equation by 52 to get rid of the coefficient in front of the x term.
Dividing both sides of the equation by 52, we get:
52(x−2) = 4
(x−2) = 4/52
(x−2) = 1/13
Next, we can add 2 to both sides of the equation to isolate the x term on the left side of the equation.
(x−2) + 2 = 1/13 + 2
x = 1/13 + 2
x = (1/13) + (2/1)
x = (13+26)/13
x = 39/13
Therefore, the value of x that makes the equation 52(x−2)=4 true is x = 39/13.
Step-by-step explanation:
Ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.
Answer:
If the video game that Ethan bought usually costs $39.99, and it was on sale for 20% off, then the discount on the game would be $39.99 x 20/100 = $8.00. To determine the final price of the game after the discount, we can subtract the discount from the original price of the game, which gives us:
Final price = $39.99 - $8.00 = $31.99
Therefore, Ethan paid $31.99 for the video game that was on sale. This can be rounded to the nearest cent to give us a final answer of:
Final price = $31.99 ≈ $32.00.
Therefore, Ethan paid $32.00 for the video game that was on sale.
Step-by-step explanation:
i need help with my Math homework please
Answer: I may not be much of a help, but....
Step-by-step explanation: Count up each year by 2%, and then do the rounding! I really do hope this helps!
Answer:
Step-by-step explanation:
per year=2%5 years=10%6 years=12%7 years=14%8 years=16%So basically ur adding 2 % every year.
Given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.
True
False
It is true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.
A parabola is a quadratic function graph .A parabola is a curve equation in which a point on the curve is equidistant from a fixed point and a fixed line.
The fixed point is known as the parabola's focus, and the fixed line is known as the parabola's directrix. It is also worth noting that the fixed point does not lie on the fixed line.
A parabola is a locus of any point that is equidistant from a given point (focus) and a given line (directrix). The parabola is a significant curve of the coordinate geometry's conic sections.
The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h,k) denotes the vertex.
The standard equation of a regular parabola is y² = 4ax.
It's true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.
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