Answer:
Correct cost for the cell phone monthly plan = 54.2$
Explanation:
Price for monthly plan = 58.95$
Discount = 4.75 $
New cost found out by Sam = 11.45$
Discount considered by Sam = 58.95 - 11.45 = 47.5$
So, Instead of considering discount amount of 4.75$ Sam accidentally considered 47.5$, so he got 11.45$ as new cost for the cell phone plan.
Actual cost = 58.95 - 4.75 = 54.2$
Correct cost for the cell phone monthly plan = 54.2$
Yuri has 2/7 of a bag of carrots. If he eats half the carrots, what fraction of the bag of carrots will she have left ?
Yuri will have 1/7 of a bag of carrots left. This is because half of 2 is 1.
Math! help me out on the second question?
Polygon A: 20 ft x 60 ft
P = 2(20) + 2(60)
= 40 + 120
= 160
Polygon B: 3 ft x 9 ft
P = 2(3) + 2(9)
= 6 + 18
= 24
Ratio of Perimeters: [tex]\frac{160}{24} = \frac{20}{3}[/tex] = 20:3
Can someone explain # 6 and #8
I have a quiz tomorrow and I need to understand this carp so please EXPLAIN it
Thanks
A car travelled at 16km an hour . How long did it travel in 2 1/2 hours
I would travel 40hours. 16 times two is 32 plus 8 is 40.
A container holds 62 cups of water how much is this in a gallon
A container holds 62 cups of water how much is this in a gallon
Answer: We are given that a container contains 62 cups of water.
We are required to find how much water is contained in the container in terms of gallons.
We know that:
[tex]1[/tex] gallon [tex]=16[/tex] cups
[tex]\therefore 62[/tex] cups [tex]=\frac{62}{16}[/tex] gallons
[tex]=3.875[/tex] gallons
Therefore, a container contains 3.875 gallons of water.
Final answer:
To convert cups to gallons, divide the number of cups by 16 (since 1 gallon = 16 cups). For 62 cups, the conversion is 62 cups ÷ 16 cups/gallon = 3.875 gallons.
Explanation:
To convert cups to gallons, we must first know the conversion factors between these units. Using the provided reference information, we know that 1 gallon is equal to 16 cups since there are 4 quarts in a gallon and each quart is equivalent to 4 cups. Therefore, to convert from cups to gallons, we would divide the number of cups by 16.
Converting 62 cups to gallons:
Divide the total number of cups by the number of cups in a gallon: 62 cups ÷ 16 cups/gallon = 3.875 gallons.So, the container holds 3.875 gallons of water.
Determine the number of real solutions each quadratic equation has.
y = 12x2 - 9x + 4 _____real solution(s)
10x + y = -x2 + 2 _____real solution(s)
4y - 7 = 5x2 - x + 2 + 3y ______ real solution(s)
y = (-x + 4)2 ______real solution(s)
Answer:
1) a=12 , b=-9 , c=4
2) a=-1 , b=-10 , c=2
3) a=5 , b=-1 , c=9
4) a=1 , b=-8 , c=16
Step-by-step explanation:
(1) y = 12x² - 9x + 4 no real solutions.
(2) 10x + y = -x² + 2, two real solutions.
(3) 4y - 7 = 5x² - x + 2 + 3y, no real solution.
(4) y = (-x + 4)², one real solution.
How to calculate the solutions of the quadratic equations?The number of real solutions for each quadratic equation is determined using discriminant.
The discriminant, denoted as Δ, is used to determine the nature of the roots of a quadratic equation of the form ax² + bx + c = 0.
Δ = b² - 4ac
From the given equations;
y = 12x² - 9x + 4
a = 12, b = -9, c = 4
Δ = (-9)² - 4(12)(4)
Δ = 81 - 192
Δ = -111
Since the discriminant Δ is negative (-111), this quadratic equation has no real solutions.
10x + y = -x² + 2
y = -x² - 10x + 2
a = -1, b = -10, c = 2
Δ = (-10)² - 4(-1)(2)
Δ = 100 + 8
Δ = 108
Since the Δ is positive and greater than zero, the equation has two real solutions.
4y - 7 = 5x² - x + 2 + 3y
4y - 3y = 5x² - x + 2 + 7
y = 5x² - x + 9
a = 5, b = -1, c = 9
Δ = (-1)² - 4(5)(9)
Δ = 1 - 20(9)
Δ = 1 - 180 = -179
No real solution.
y = (-x + 4)²
when y = 0
0 = -x + 4 or
0 = -x + 4
x = 4
The equation has one real solution.
Learn more about solutions of quadratic equations here: https://brainly.com/question/1214333
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The equation of pq is y=4x+3 . The equation of the vt is 2x+8y=6. Rewrite the equation vt in slope-intercept form and determine if pq and vt are perpendicular
y=-1/4x+3/4
Pq Slope * Vt Slope should equal -1
4 * -1/4 = -1 Yes they are perpendicular.
The slope for the first equation is 4, and after transforming the second equation into slope-intercept form the slope is -0.25. Since these slopes are negative reciprocals of each other, the lines pq and vt are perpendicular.
Explanation:The given equations are y=4x+3 (equation of line pq), and 2x+8y=6 (equation of line vt). To find out if these lines are perpendicular, we need to rewrite the second equation in slope-intercept form (y=mx+b). You can achieve this by isolating y.
Here are the steps:
Subtract 2x from both sides of the equation, giving 8y = -2x + 6.Then divide each side by 8 to solve for y, which brings the equation to y= -0.25x+0.75.At this point, you can see that the slope of this line is -0.25.
Line pq has a slope of 4, and line vt has a slope of -0.25. Two lines are perpendicular if their slopes are negative reciprocals of each other. The negative reciprocal of 4 is -0.25, so we can conclude that lines pq and vt are perpendicular.
Learn more about Perpendicular lines here:https://brainly.com/question/18271653
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Hello everyone! Can you answer today's question?
Joy ate 1/4 of a pizza. If she divides the rest of the pizza into pieces equal to 1/8 for her family, how many pieces will her family get?
( Marking brainiest today! )
5 times 2/4 in simplest form 10 POINTS!!!
Your answer is 5/2.
Steps:
Convert element to fraction
Multiply fractions
Cancel the common factor (1)
--
Hope this helped!
What is the best estimate of the square root of 96 to the nearest tenth
I believe the answer is 9.8
Hope this helps :)
A farmer will build a rectangular pen for some goats. A wall will form one side of the pen. The farmer has 36 m of fencing to form the other three sides.
The farmer plans to build the pen so that it has its maximum possible area.
What will be the dimensions of the farmer’s goat pen?
Enter your answers in the boxes.
___ m by ___ m
The pen should be built with dimensions of 9 meters by 6 meters, with the wall forming one of the 9-meter sides.
To find the dimensions of the pen that will give the maximum area, we can use the fact that for a given perimeter, a square has the maximum area. Since one side of the pen is formed by a wall, we have 36 meters of fencing for the other three sides. Let's denote the length of the pen as [tex]\( l \)[/tex] and the width. The perimeter of the three sides that need fencing is given by:
[tex]\[ P = l + 2w \][/tex]
We know that the total length of the fencing available for these three sides is 36 meters, so:
[tex]\[ l + 2w = 36 \][/tex]
To maximize the area, we want [tex]\( l \)[/tex] to be as close to [tex]\( w \)[/tex] as possible, which means we want to divide the 36 meters of fencing equally among the three sides. If we let \( w = w \), then the equation becomes:
[tex]\[ l + 2l = 36 \][/tex]
[tex]\[ 3l = 36 \][/tex]
[tex]\[ l = \frac{36}{3} \][/tex]
[tex]\[ l = 12 \][/tex]
However, this would mean that there is no fencing left for the width, as all 36 meters would be used for the length. To avoid this, we need to distribute the fencing so that two of the sides (the widths) are equal and the remaining side (the length) is the third side. To find the maximum area, we set [tex]\( l = 2w \)[/tex], which gives us:
[tex]\[ 2w + 2w = 36 \][/tex]
[tex]\[ 4w = 36 \][/tex]
[tex]\[ w = \frac{36}{4} \][/tex]
[tex]\[ w = 9 \][/tex]
Now, we can find the length [tex]\( l \):[/tex]
[tex]\[ l = 2w \][/tex]
[tex]\[ l = 2 \times 9 \][/tex]
[tex]\[ l = 18 \][/tex]
However, since we initially assumed[tex]\( l = 2w \)[/tex] to find the width, we need to adjust the length to account for the actual fencing used. We have two widths and one length, so the correct equation is:
[tex]\[ l + 2w = 36 \][/tex]
[tex]\[ 18 + 2 \times 9 = 36 \][/tex]
[tex]\[ 18 + 18 = 36 \][/tex]
[tex]\[ 36 = 36 \][/tex]
Therefore, the dimensions of the pen are 9 meters by 6 meters, with the wall forming the side of 18 meters.
The final answer is that the pen should be built with dimensions of 9 meters by 6 meters, with the wall forming one of the 9-meter sides.
Match the reasons with the statements in the proof.
Given: m1 = m3
m2 = m3
Prove: / | | m
1. m∠1 = m∠3 and m∠2 = m∠3 Substitution
2. m∠1 = m∠2 Definition of alternate interior angles
3. ∠1 and ∠2 are alternate interior angles If alternate interior angles are equal,
4. l||m then the lines are parallel.
Given
Answer:
Given: [tex]m\angle 1 = m\angle 3[/tex] and [tex]m\angle 2 = m\angle 3[/tex]
To prove that:
[tex]l || m[/tex]
1. [tex]m\angle 1 = m\angle 3[/tex] [Given]
[tex]m\angle 2 = m\angle 3[/tex]
Substitution property of equality says that:
If x = y, then x can be substituted in y, or y can be substituted in x.
2 [tex]m\angle 1 = m\angle 2[/tex] [ By Substitution Property]
Alternate interior angles states that when two lines are crossed by transversal , a pair of angles on the inner sides of each of these two lines on the opposite sides of the transversal line.
3. [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are alternate interior angles [By definition Alternate interior angle].
Alternating interior angles theorem states that if two parallel lines are intersected by third lines, then the angles in the inner sides of the parallel lines on the opposite sides of the transversal are equal.
4. [tex]l || m[/tex] ; then the lines are parallel [By Alternate interior angles theorem]
Correct match is as follows:
1. [tex]m\angle 1 = m\angle 3[/tex] [Given]
[tex]m\angle 2 = m\angle 3[/tex]
2. [tex]m\angle 1 = m\angle 2[/tex] [Substitution]
3. [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are alternate interior angle [By definition of alternate interior angles ]
4. [tex]l || m[/tex] the lines are parallel [If alternate interior angles are equal]
The question involves a geometrical proof where measurements of angles are given and a conclusion regarding parallel lines need to be derived. The steps of proof are matched with relevant geometric concepts. The matching involves principles like substitution, definition of alternate interior angles, and a theorem about alternate interior angles and parallel lines.
Explanation:In the context of the given problem, the matching would be as follows:
m∠1 = m∠3 and m∠2 = m∠3 would be matched with Substitution. This is because the measure of angle 1 is set to equal the measure of angle 3, and similarly, the measure of angle 2 is set to equal the measure of angle 3. This is a direct application of the substitution postulate in geometry. m∠1 = m∠2 would be matched with Definition of alternate interior angles. We know that alternate interior angles are equal in measure when two lines are cut by a transversal. So, when m∠1 = m∠2, these angles are defined as alternate interior angles.∠1 and ∠2 are alternate interior angles would be matched with If alternate interior angles are equal, then the lines are parallel. This phrase essentially summarizes the transversal line theorem, which states that if the pairs of alternate interior angles are equal, then the two lines that are cut by the transversal are parallel.l∥m would be matched with Given. This is provided as a part of the problem statement.Learn more about Geometry here:https://brainly.com/question/31408211
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1. To solve x/ 0.4 = 10 You would:
a. add 0.4
b. subtract 0.4
c. multiply 0.4
d. divide 0.4
(c) multiply by 0.4
given [tex]\frac{x}{0.4}[/tex] = 10
multiply both sides by 0.4 to eliminate the fraction
x = 0.4 × 10 = 4
and [tex]\frac{4}{0.4}[/tex] = 10
Marco is making a mosaic garden stones using red, yellow, and blue tiles. He has 45 red tiles, 90 blue tile, and 75 yellow tiles. Each stone must have the same number of each color tile. What is the greatest number of stones Marco can make?A.How many of each color tile will Marco use in each stoneB.How can Marco use the GCF to find out how many tiles he has in all?
He has:
45 red tiles
90 blue tiles
75 yellow tiles
Greatest number of stones Marco can make is the GCF of the three numbers above which is 3 × 5 = 15 (Solution attached below)
Find the value of p so that the linear function f(x) with f(p) = 3 and f(-2) = 0 has a slope of 3.
To the nearest tenth of a second, how much time would it take the penny to hit the
ground?
A. 0.5 seconds
B. 0.6 seconds
C. 0.7 seconds
D. 0.8 seconds
B. 0.6 seconds
Because they want you to round to the nearest 10th and 0 is the ground.
Answer:
Option B. 0.6 seconds
Step-by-step explanation:
As given in the table at time t = 0 the maximum height of the penny is 2 meters.
In simpler way we can say the penny has been throw from a height of 2 meters.
Now this process can be represented by the equation of motion
[tex]h=ut+\frac{1}{2}gt^{2}[/tex]
For free fall u = 0
So [tex]h=\frac{1}{2}gt^{2}[/tex]
where h = 2 meters
and g = 9.81 m/sec²
By putting these values in the equation
[tex]2=\frac{1}{2}(9.81)(t)^{2}=4.905t^{2}[/tex]
[tex]t^{2}=\frac{2}{4.905}=0.4077[/tex]
t = √0.4077 = 0.6385 seconds
or t = 0.6 seconds
Answer is option B. 0.6 seconds
Based on the quadratic model, what was the approximate number of workers that were hired during the seventh year?
To determine the approximate number of workers hired during the seventh year based on the quadratic model, we need more information about the model and the values of a, b, and c.
Explanation:To approximate the number of workers hired during the seventh year based on the quadratic model, we need more information about the model. Quadratic models are typically of the form y = ax^2 + bx + c, where x represents the time and y represents the number of workers hired. Without knowing the values of a, b, and c, we cannot determine the exact number of workers hired in the seventh year. However, if we have the values of a, b, and c, we can substitute x = 7 into the equation to find the approximate number of workers hired during the seventh year.
Please help and show work!!
[tex]-67\geq5+3n-21\\\\-67\geq3n+(5-21)\\\\-67\geq3n-16\ \ \ \ |+16\\\\-51\geq3n\ \ \ \ |:3\\\\-17\geq n\to n\leq-17\\\\Answer:\ \boxed{B.\ n\leq-17}[/tex]
Of the 125 people in a company , three-fifths have a smartphone . How many children do not have a smartphone
HAVE smart phones + do NOT have smart phones = 125
Have smart phones
[tex]\frac{3}{5} *125 = \frac{3(125)}{5} = 3(25) = 75[/tex]
HAVE + NOT = 125
75 + NOT = 125
-75 -75
NOT = 50
Answer: 50 people do not have a smart phone
Please help me, thank you.
I do not know what multiplication problem for (8×3,000)+(8×200)+(8×9) is
What is 617,889 rounded to the nearest hundrad thousand
600,000 would be your answer
vote on my answer pplz
HELP I'M TIMED! Reflect triangle ABC over the y-axis. What is the relationship between the segments created if you connect the points to the line of reflection. I WILL GIVE YOU BRAINLIEST!
This is your answer thanks!
Answer:
they are perpendicular to each other
Step-by-step explanation:
20 Points
Question in pic
The slope-intercept form of a line:
y = mx + b
m - slope
b - y-intercept
We have
[tex]y=\dfrac{2}{3}x+2[/tex]
therefore the y-intercept is 2
Answer: C) (0, 2)C is the correct answer
Please help asap 25 pts
its d. i know for sure had the same question promise no lie
If you have $10 and bananas cost 80 cents per pound and apples are $1.40 per pound will you have enough money
What is the smallest power of 10that would exied 999999999991
Final answer:
The smallest power of 10 that exceeds 999,999,999,991 is 10¹² because 999,999,999,991 is just one less than 1,000,000,000,000, which can be expressed as 10¹² in exponential form.
Explanation:
The question asks for the smallest power of 10 that would exceed 999,999,999,991. Understanding how to convert numbers into their exponential form plays a crucial role here. For a power of 10, the exponent tells you how many zeros you'd add to the digit 1 to express that number in long form. For example, 10² is 100, which is a 1 followed by 2 zeros. In the case of 999,999,999,991, we need to find a power of 10 that is just larger than this number.
Observing the number 999,999,999,991, it is just one less than 1,000,000,000,000. If we were to express 1,000,000,000,000 in exponential form, it would be 10¹², because it is a 1 followed by 12 zeros. Therefore, the smallest power of 10 that exceeds 999,999,999,991 is 10¹². This example illustrates how understanding integer powers and exponential notation is essential in solving problems of this nature effectively.
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2 - 5i
-2 + 10i
-2 - 10i
Answer:
1, -4, 2 + 5i, 2 - 5i
Step-by-step explanation:
First, I factor x^2 + 3x - 4
==> I get: (x - 1) (x +4)
Then, I factor (x^2 - 4x + 29)
==> And I get (2 + 5i) (2 - 5i)
You can use the quadratic formula to factor or use the "X" to solve them.
Hope this help!
Applying the factor theorem, it is found that the roots of the equation are:
[tex]x = 1, x = -4, x = 2 + 5i, x = 2 - 5i[/tex]
The factor theorem states that if [tex]x_1, x_2, ..., x_n[/tex] are roots of a polynomial, it can be written as:
[tex](x - x_1)(x - x_2)...(x - x_n)[/tex]
In this problem:
[tex](x^2 + 3x - 4)(x^2 - 4x + 29) = 0[/tex]
Thus, the roots are the values of x for which either:
[tex]x^2 + 3x - 4 = 0[/tex]
Or
[tex]x^2 - 4x + 29 = 0[/tex]
First, [tex]x^2 + 3x - 4 = 0[/tex]
Which is a quadratic equation with [tex]a = 1, b = 3, c = -4[/tex], thus:
[tex]\Delta = 3^{2} - 4(1)(-4) = 25[/tex]
[tex]x_{1} = \frac{-3 + \sqrt{25}}{2} = 1[/tex]
[tex]x_{2} = \frac{-3 - \sqrt{25}}{2} = -4[/tex]
Thus, [tex]x = 1[/tex] and [tex]x = -4[/tex] are roots.
Then, we solve [tex]x^2 - 4x + 29 = 0[/tex].
The coefficients are [tex]a = 1, b = -4, c = 29[/tex], so:
[tex]\Delta = (-4)^{2} - 4(1)(29) = -100[/tex]
[tex]x_{1} = \frac{-(-4) + \sqrt{100}}{2} = 2 + 5i[/tex]
[tex]x_{2} = \frac{-(-4) - \sqrt{100}}{2} = 2 - 5i[/tex]
Thus, [tex]x = 2 + 5i[/tex] and [tex]x = 2 - 5i[/tex] are also roots.
A similar problem is given at https://brainly.com/question/24380382
Graph the function
x+y=6
-Can someone help and tell me how would i graph this?
This is how you would graph your function.
Emily has fixed monthly expenses that are taken directly out of her bank account. Emily wants to know how much money she must deposit in her account each month to cover these expenses. How can Emily use an additive inverse to find this amount? A. Emily can add 48 + 12 + 44 to find her total expenses. The additive inverse of this number is the amount Emily must withdraw each month. B. Emily can subtract 48 – 12 – 44 to find her total expenses. The additive inverse of this number is the amount Emily must deposit each month. C. Emily can subtract –48 – (–12) – (–44) to find her total expenses. The additive inverse of this number is the amount Emily must deposit each month. D. Emily can add (–48) + (–12) + (–44) to find her total expenses. The additive inverse of this number is the amount Emily must deposit each month.
Answer:
As you know that Additive inverse of any number
A = - A , For example additive inverse of 2 is -2
or additive inverse of (-2) is 2.
Now, According to the question given
Emily has fixed monthly expenses that are taken directly out of her bank account.
As she wants to know, how much money she must deposit in her account each month to cover these expenses.
So, Expenses are Additive inverse of Deposit or Deposit are additive inverse of Expenses.
Out of the given Options Option D which is, Emily can add (–48) + (–12) + (–44) to find her total expenses. The additive inverse of this number is the amount Emily must deposit each month. is correct.
Answer:
d
Step-by-step explanation: