Answer:
x is all real numbers
Step-by-step explanation:
The domain is the input to the function. It is the values that x can take.
For this function, x can be any real value
This year 20% of city employees ride the bus to work. Last year only 18% of city employees rode the bus to work. a. Find the absolute change in city employees who ride the bus to work. b. Use the absolute change in a meaningful sentence. c. Find the relative change in city employees who ride the bus to work. Round to whole number percent. d. Use the relative change in a meaningful sentence.
a. The absolute change in city employees who ride the bus to work is 2%.
b. The relative change in city employees who ride the bus to work is approximately 11%.
c. The relative change in city employees who ride the bus to work is approximately 11%.
d. The relative change of around 11% indicates an increase in the proportion of city employees riding the bus to work compared to last year.
a. The absolute change in city employees who ride the bus to work can be calculated as the difference between this year's percentage (20%) and last year's percentage (18%):
Absolute change = 20% - 18% = 2%
b. The absolute change of 2% indicates that the number of city employees riding the bus to work has increased by 2 percentage points compared to last year.
c. The relative change in city employees who ride the bus to work can be calculated as the absolute change divided by the previous year's percentage, multiplied by 100:
Relative change = (Absolute change / Previous year's percentage) * 100
Relative change = (2% / 18%) * 100 ≈ 11%
d. The relative change of approximately 11% implies that the proportion of city employees riding the bus to work has increased by around 11% compared to last year.
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How Many Intersections Are There Of The Graphs Of The Equations Below? 3x+30y = 36 None One Two Infinitely Many
The number of points of intersection for the graphs of the equations is infinite.
Point of intersection refers to the point at which two lines intersect on a graph. The graph of the equation refers to the visual demonstration of the equation obtained by plotting all the points of an equation on a graph. If there is only one variable, the graph is on a number line. If there are two variables, the graph is on the coordinate plane. If there are three variables, the graph is in three-dimensional coordinates.
Simplifying the given equations:
i) x/2 + 5y = 6
x + 10y = 12
ii) 3x + 30y = 36
3(x + 10y) = 36
x + 10y = 12
As the equations are equal lines, they will intersect at infinite times.
Note: The question is incomplete. The complete question probably is: How many intersections are there of the graphs of the equations below? x/2 + 5y = 6 3x + 30y = 36 none one two infinitely many
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3. Jasper estimates her car expenses at about $7 650.00 per year. How much
should Jasper budget monthly for car expenses?
Answer:
637.50
Step-by-step explanation:
7,650.00 per year divided by 12 months equals 637.50
the sum of the 4 digit numbers ABCD and DCBB is a multiple of 10.
the digits A,B,C and D are consecutive integers
the number ABCD is a multiple of 3.
so it asks you to find the difference between the numbers ABCD and DCBB
The difference between the numbers ABCD and DCBB is 10000
How to determine the differenceFrom the information given, we have that:
ABCD and DCBB is a multiple of 10.The digits A,B,C and D are consecutive integersThe number ABCD is a multiple of 3We can say that:
B + D = 10
A = 3
B = 4
C = 5
D = 6
Now,
ABCD = 3456
DCBB = 6544
Difference between the numbers ABCD and DCBB = 3456 + 6544 = 10, 000
Thus, the difference between the numbers ABCD and DCBB is 10000
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give an example of a 2×2 matrix with no real eigenvalues.
A 2x2 matrix with no real eigenvalues can be represented as [a, b; -b, a] where a and b are complex numbers, with b ≠ 0. An example of such a matrix is [1, i; -i, 1], where i represents the imaginary unit.
In a 2x2 matrix, the eigenvalues are the solutions to the characteristic equation. For a matrix to have no real eigenvalues, the discriminant of the characteristic equation must be negative, indicating the presence of complex eigenvalues.
To construct such a matrix, we can use the form [a, b; -b, a], where a and b are complex numbers. If b is not equal to 0, the matrix will have complex eigenvalues.
For example, let's consider [1, i; -i, 1]. The characteristic equation is det(A - λI) = 0, where A is the matrix and λ is the eigenvalue. Solving this equation, we find the complex eigenvalues λ = 1 + i and λ = 1 - i, indicating that the matrix has no real eigenvalues.
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Which number is greater than 3.45?
O A. 3.7
O B. 3.3
C. 3.26
D. 3.19
O E. 3.05
Answer:
A
Step-by-step explanation:
if you add a 0 to 3.7 it makes it 3.70 so if you can see that .70 is bigger then .45! :)
Answer:
A.3.7
Step-by-step explanation:
this is because you add a zero behind the numbers and which numbers that ae the highest after the first .2 numbers is your answer.
1: What is the purpose of having a supplier scorecard? How can a supplier scorecard be used?
Q2: Please analyze the current scorecard, any concerns or issues from the original scorecard? What is
Emily’s concern?
Q3: Please analyze the proposed scorecard, does the proposed scorecard address her concerns
adequately?
Q4: What are the differences between the current scorecard and the proposed scorecard?
Q5: How do you think the suppliers will react to the proposed scorecard? How will the scorecard change
the dynamics of the buyer-supplier relationship?
Q6: Please discuss potential options, recommendations and action.
Purpose of having a supplier scorecard A supplier scorecard is a tool that is used to evaluate the performance of suppliers and to monitor their progress. It helps in the assessment of how well the suppliers are meeting the needs of the buyers and it helps the buyers to decide which suppliers they should continue to work with in the future.
The purpose of having a supplier scorecard is to evaluate the suppliers' performance in terms of quality, delivery, price, and customer service, and to monitor their progress over time. The scorecard can be used to identify areas where suppliers are excelling and areas where they need to improve. Analysis of the current scorecard and concerns Emily’s concern is that the current scorecard is too simplistic and does not provide enough information to make informed decisions about suppliers. The concerns with the current scorecard are that it is too simplistic and does not provide enough information about the supplier's performance. Analysis of the proposed scorecard and its adequacy The proposed scorecard addresses Emily's concerns by providing more detailed information about the supplier's performance in specific areas.
It also includes more metrics for evaluating the supplier's performance. Differences between the current scorecard and the proposed scorecard The proposed scorecard is more detailed and includes more metrics than the current scorecard. It provides more information about the supplier's performance in specific areas. How suppliers will react to the proposed scorecard and the dynamics of the buyer-supplier relationship Suppliers may react negatively to the proposed scorecard if they feel that it is too strict or unfair. The scorecard may change the dynamics of the buyer-supplier relationship by putting more pressure on suppliers to meet certain standards. Potential options, recommendations, and actionSome potential options and recommendations for improving the scorecard include adding more metrics, providing more detailed feedback to suppliers, and revising the scoring system to make it more accurate and fair.
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the line with slope 4 passing through (3,5)
Answer:
y = 4x - 7
Step-by-step explanation:
m = 4
y - y1 = m(x - x1)
y - 5 = 4(x - 3)
y - 5 = 4x - 12
y = 4x - 7
These diagrams show the same third-degree polynomial, P(x) = 2x3 + 5x2 + x + 10, divided by a linear factor and by a quadratic factor.
The third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.
A third degree polynomial is a collection of algebraic expressions such that the highest degree of the variable is 3 and there are no fractional degrees and exponential variable.
To factor a polynomial we will use the factor theorem to find the linear factor. Then by dividing the polynomial by the linear factor we will calculate the quadratic factor.
Given polynomial P(x) = 2x³ + 5x² + 7x + 10
Now by using the trial and error method factor theorem we see that
g(x) = (x+2) is a factor of P(x) .
Now let us find the quadratic factor as:
P(x) ÷ g(x) = ( 2x³ + 5x² + 7x + 10) ÷ (x+2) = 2x²+x+5
Hence the third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.
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Disclaimer: The correct polynomial is P(x) = 2x³ + 5x² + 7x + 10 .
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This means that the percentage of male students with scores between 162 and 366 is .
1. The probability is approximately 0.0003.
2. The probability is approximately 0.2743.
3. The probability is approximately 0.0668.
4. The probability is approximately 0.0501.
5. The probability is approximately 0.6811.
The given information is about the National Assessment of Educational Progress (NAEP) scores for male students in geography in 2001. The mean score for male students was 264, with a standard deviation of 34. The scores are assumed to be normally distributed.
1. To find the probability that a z-score is greater than 3.6, we can use the unit normal tables. Looking up the z-score of 3.6 in the table, we find that the area to the left of this z-score is approximately 0.9997. Since we want the probability of the z-score being greater than 3.6, we subtract this value from 1. So, the probability is approximately 1 - 0.9997 = 0.0003.
2. To find the probability that a z-score is less than -0.6, we can again use the unit normal tables. Looking up the z-score of -0.6 in the table, we find that the area to the left of this z-score is approximately 0.2743. So, the probability is approximately 0.2743.
3. To find the probability that a z-score is greater than 1.5, we can use the unit normal tables. Looking up the z-score of 1.5 in the table, we find that the area to the left of this z-score is approximately 0.9332. Since we want the probability of the z-score being greater than 1.5, we subtract this value from 1. So, the probability is approximately 1 - 0.9332 = 0.0668.
4. To find the probability that a z-score is between 1.6 and 2.6, we can use the unit normal tables. Looking up the z-scores of 1.6 and 2.6 in the table, we find that the area to the left of 1.6 is approximately 0.9452 and the area to the left of 2.6 is approximately 0.9953. To find the probability between these two z-scores, we subtract the smaller area from the larger area. So, the probability is approximately 0.9953 - 0.9452 = 0.0501.
5. To find the probability that a z-score is between -1.7 and 0.6, we can use the unit normal tables. Looking up the z-scores of -1.7 and 0.6 in the table, we find that the area to the left of -1.7 is approximately 0.0446 and the area to the left of 0.6 is approximately 0.7257. To find the probability between these two z-scores, we subtract the smaller area from the larger area. So, the probability is approximately 0.7257 - 0.0446 = 0.6811.
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Choose the correct answer for each row.
Match each equation to the value of x that is the solution. Values of x may be used more than once and some will not be used.
Answer:
Step-by-step explanation:
Given the functions, f(x) = 3x2 - 7 and g(x) = x3 + 1, evaluate f(g(2)).
236
326
145
45
Answer:
236
Step-by-step explanation:
we are to solve for f(g(2)
that means, solve for g(2) first, then place it in f
g(2) = x^3 + 1
= 2^3+1
= 8+1 = 9
f(g(2) = f(9) since g(2) = 9
f(9)= 3x^2-7
3*9^2-7
3*81-7
243-7
236
Answer:
236 is the answer
Step-by-step explanation:
Data will be collected on the following variables. Which variable is most likely to be approximated by a normal model?
Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)]
Answer:
0.53 hours
Step-by-step explanation:
D = (r)(t), Where
‘D’ is the distance covered
‘r’ is the approach rate
‘t’ is the total time spent
Distance covered, ‘D’ = 4 miles
Approach rate, “r” = 3.5mph + 4mph
r = 7.5mph.
t is unknown
Solving for t,
D = (r)(t)
4 = 7.5t
t = 4/7.5
t = 0.53 hours (to the nearest hundredth)
Therefore, it will take Amanda and Alexis 0.53 hours to meet
Which of the following could be the number shown on the number line?
O A. 15
OB. 8
C. V11
O D. 17
i need to find the volume of a cylinder and the radius is 10 cm and height is 8 cm
Answer:
2513.27
Step-by-step explanation:
V=πr^2h=π·102·8≈2513.27412
Show all steps for a symbolic solution for each problem
1) 4+2.8x=51
My friend has this as a problem but I've heard of a "symbolic solution" for a problem.
A trapezoid is shown. The length of one base is 10 and the length of the other base is 6. The height of the altitude is 5. A small rectangle with height 2 and length 3 is cut out of the bottom of the trapezoid. What is the area of the composite figure? units2
Friend! your answer would be 34!
~Notify me if you have questions~
Have a nice day and I hope it helps!
^ω^
-- XxFTSxX
The area of the composite figure is 34 square units.
The formula for the area of a trapezoid is:
Area = (1/2) × (sum of bases) × height
Here, the sum of the bases is 10 + 6 = 16, and the height is 5.
Thus, the area of the trapezoid before the rectangle is cut out is:
Area of trapezoid = (1/2) × 16 × 5 = 40 units²
The height of the rectangle is 2, and the length is 3.
Therefore, the area of the rectangle is:
Area of rectangle = length × height
= 3 × 2
= 6 units²
To find the area of the composite figure, we subtract the area of the rectangle from the area of the trapezoid:
Area of composite figure = Area of trapezoid - Area of rectangle
= 40 units² - 6 units²
= 34 units²
Therefore, the area of the composite figure is 34 square units.
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suppose u is a uniform(0, 1) random variable. consider f-1(u), where f-1(.) is the inverse of the cdf of the random variable x. so, f-1(u) is a transformation of u. assume f-1(.) is strictly increasing. what is the distribution of f-1(u)?
The distribution of the given function is a uniform distribution.
A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).
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this poll was shown in july 2018. it shows a moe (margin of error) of 3%, or 0.03. it shows poll results of issues that millennials care about most: jobs/economy 25%, immigration 17%, healthcare 16%, education 16%, environment 12%. what is the upper limit of the confidence interval for the proportion of millennials that care about immigration? write your answer as a proportion (decimal) and not as a percent. do not round.
The upper limit of the confidence interval for the proportion of millennials that care about immigration is 0.20.
In order to find the upper limit of the confidence interval for the proportion of millennials that care about immigration,
we first need to calculate the confidence interval using the margin of error (MOE) and sample proportion.
The formula to find the confidence interval is given by:
Confidence Interval = Sample Proportion ± Margin of Error (MOE)
Where Sample Proportion = Poll Result / 100
Let's first find the Sample Proportion of millennials that care about immigration.
Sample Proportion = Poll Result / 100= 17 / 100= 0.17
Now let's calculate the confidence interval using the MOE.
Confidence Interval = Sample Proportion ± Margin of Error (MOE)
Upper Limit of Confidence Interval = Sample Proportion + MOE= 0.17 + 0.03= 0.20
Therefore, the upper limit of the confidence interval for the proportion of millennials that care about immigration is
0.20.
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The graph of a function h is shown below.
Find h (2) and find one value of x for which h (x) = = -3.
(a) h(2) = ?
One value of x for which h (x) = -3 : ?
According to the graph of the function, it is found that:
a) h(2) = 1.
b) h(x) = -3 when x = -4.
What is h(2)?Looking at the graph, h(2) is given by the value of y when x = 2, that is, the value of the vertical axis when the horizontal axis is of 2. Hence, h(2) = 1.
What is the value of x for which h(x) = -3?Looking at the graph, it is given by x when y = -3, that is, the value of the horizontal axis when the vertical axis is of -3, hence, h(x) = -3 when x = -4.
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Juan y Andrés son adultos mayores y maratonistas. Hoy participaron en la maratón internacional de los Andes.El locutor que cubre este evento deportivo informo que Juan había terminado la carrera con un tiempo de 3¾ horas. Tijuanito el recorrido en ⅔ de horas más que Andrés,¿En cuánto tiempo terminó el maratón Andrés?.
Answer:
3 hours 8 seconds
Step-by-step explanation:
Juan and Andrés are older adults and marathoners. Today they participated in the international marathon of the Andes. The announcer who covers this sporting event reported that Juan had finished the race with a time of 3¾ hours. Tijuanito the route in ⅔ of hours more than Andrés, how long did Andrés finish the marathon ?.
It is given that,
Juan had finished the race with a time of 3¾ hours.
He takes ⅔ of hours more than Andrés.
We need to find how long did Andrés finish the marathon.
Time taken by Juan = \(\dfrac{15}{4}\) hours
Time taken by Tijuanito is \(\dfrac{2}{3}\) hours more than Andrés.
So, Andrés finish the marathon \(\dfrac{15}{4}-\dfrac{2}{3}=3.08\ \text{hours}\) before.
on the 1st of January a student puts N10 in a box. on the 2nd she puts N20 in the box. putting the same number of 10 naira notes as the day of the month. how much money will be in the box if she keeps doing this for the first 10 days of January and the whole of January
Answer:
N550
N4960
Step-by-step explanation:
10 days
First day: N10
Second day: N20
Third day: N30
...
Tenth day: N100
Sum of sequence: 10 + 20 + 30 + 40 + ... + 80 + 90 + 100
sum = (n/2)[2a+(n−1)d]
a = 10; n = 10; d = 10
sum = (10/2) × [2(10) + (10 - 1)(10)]
sum = 5[20 + 9(10)]
sum = 5[110]
sum = 550
Answer: N550
31 days
First day: N10
Second day: N20
Third day: N30
...
Thirty-first day: N100
Sum of sequence: 10 + 20 + 30 + 40 + ... + 290 + 300 + 310
sum = (n/2)[2a+(n−1)d]
a = 10; n = 31; d = 10
sum = (31/2) × [2(10) + (31 - 1)(10)]
sum = 15.5[20 + 30(10)]
sum = 15.5[320]
sum = 4960
Answer: N4960
Some of the dimensions of a square pyramid are shown in the diagram. The height of the pyramid is 7.5 meters.
What is the volume of the square pyramid in cubic meters?
A 40 m³
B 60 m³
C 120 m³
D 360 m³
The volume of the square pyramid is 90 cubic meters, which corresponds to option C.
How we calculate Volume?To find the volume of a pyramid, we use the formula V = 1/3 * B * h, where B is the base area and h is the height of the pyramid.
In this case, we are given that the height of the square pyramid is 7.5 meters.
To find the base area, we need to know the length of one side of the square base.
Since the base is a square, all sides are equal. From the diagram, we can see that the length of one side is 6 meters.
The base area is B = 6² = 36 square meters.
Using the formula V = 1/3 * B * h, we can find the volume of the pyramid.
V = 1/3 * 36 * 7.5 = 90 cubic meters.
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What is the equation of the ellipse with a major axis 24 units long parallel to the x-axis, a minor axis 22 units long, and a center at (6,1)?
The equation of the ellipse with a major axis 24 units long parallel to the x-axis, a minor axis 22 units long, and a center at (6,1) can be written in the standard form.
The standard form of an ellipse with a major axis parallel to the x-axis is given by: ((x - h)^2 / a^2) + ((y - k)^2 / b^2) = 1. where (h, k) represents the center of the ellipse, and a and b represent half the lengths of the major and minor axes, respectively. In this case, the center is (6, 1), so h = 6 and k = 1. The major axis has a length of 24 units, so a = 24 / 2 = 12. The minor axis has a length of 22 units, so b = 22 / 2 = 11. Substituting these values into the standard form equation, we get: ((x - 6)^2 / 12^2) + ((y - 1)^2 / 11^2) = 1.
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Solve the following quadratic by
completing the square.
y = x2 + 4x - 2
Answer:
x = √6 - 2 , -√6-2
Step-by-step explanation:
We have ,
=> y = x² + 4x - 2
Let y = 0=> x² + 4x - 2 = 0
=> x² + 2(2)(x) - 2 = 0
=> x² + 2(2)(x) +2² - 2² -2 = 0
=> x² + 2(2)(x) + 2² -4-2 = 0
=> ( x + 2 )² -6 = 0
=> ( x +2)² = 6
=> ( x + 2) = √6
=> x + 2 = ±√6
=> x = √6 - 2 , -√6-2
The solution for x in terms of y is x = √y - 2 + √6.
To solve the quadratic equation y = x² + 4x - 2 by completing the square, we need to follow a few steps:
Step 1: Move the constant term to the right side of the equation:
y + 2 = x² + 4x
Step 2: Take half of the coefficient of x and square it. Add the resulting value to both sides of the equation to create a perfect square trinomial on the left side:
y + 2 + (4/2)² = x² + 4x + (4/2)²
y + 2 + 4 = x² + 4x + 4
y + 6 = (x + 2)²
Step 3: Rewrite the equation in vertex form:
(y + 6) = (x + 2)²
The equation is now in the form y = (x - h)² + k, where (h, k) represents the vertex of the parabola.
Therefore, the vertex is (-2, -6), and the equation represents a parabola that opens upward.
To solve the equation (y + 6) = (x + 2)² for x, we need to isolate x. Here's how:
Start with the equation: (y + 6) = (x + 2)²
Subtract 6 from both sides of the equation: (y + 6) - 6 = (x + 2)² - 6
Simplify: y = (x + 2)² - 6
Take the square root of both sides of the equation: √y = √[(x + 2)² - 6]
Simplify: √y = x + 2 - √6
Subtract 2 from both sides of the equation: √y - 2 = x - √6
Rearrange the equation to solve for x: x = √y - 2 + √6
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all of the following are inhaled antigens that cause allergic rhinitis except ________. group of answer choices animal dander polyp mold pollen
All of the following are inhaled antigens that cause Allergic rhinitis except polyp.
Allergic rhinitis is a common condition that causes inflammation in the nasal passages due to the immune system overreacting to certain inhaled allergens. These allergens are known as antigens and can include pollen, animal dander, mold, and others.
However, out of these options, the one that does not cause allergic rhinitis is polyp. Polyps are non-allergic growths that can form in the nasal passages but are not caused by an immune response to an inhaled antigen.
It is important to identify the specific allergen that triggers allergic rhinitis in order to avoid it and seek appropriate treatment. This may involve allergy testing and medication, such as antihistamines or nasal corticosteroids.
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Please help me i only know that it is irrational
Answer:
its irrational because it doesn't terminate or repeat
Step-by-step explanation:
the square root of 5 is 2.2360679775
A jet ski rental company charges h dollars for the first hour its jet skis are rented and k
dollars per hour for each hour rented after the first. If a jet ski is rented for t total hours,
where t is an integer greater than 2, which of the following represents the total rental cost
of the jet ski?
h+t+k
B
h+ tk
h+k(t-1)
h+k(t + 1)
h+
Answer:
C. h + k (t - 1)
Step-by-step explanation:
If we use an example, you can plug in the numbers and test out which equation works. Say the first hours costs $10 and each hour after that is an additional $5. If someone rents a jet ski for 4 hours, how much did it cost?
The first hour = $10
The 3 additional hours (totaled) = $15
Cost = $25
So now that we know the cost, we can plug in our numbers to these equations to find which one comes out with $25.
h = 10
k = 5
t = 4
A. 10 + 4 + 5 = 19
B. 10 + (4 · 5) = 10 + 20 = 30
C. 10 + 5 (4 - 1) = 10 + 5 (3) = 10 + 15 = 25
D. 10 + 5 (4 + 1) = 10 + 5 (5) = 10 + 25 = 35
E. 10 + (4/5 - 1) = 10 + (-0.2) = 9.8
C is the only problem that comes out as $25, therefore it must be the correct answer.
trevor takes up a test at school and completes it in an hour. the test has two sections. if he takes 35 minutes to complete the first section, how much time does he have left to complete the second section? which equation would you use to answer this problem?
a) x + 2 = 35
b) 2x + 30 = 35
c) 2x + 30 + 60
d) x + 35 = 60
Answer:
I would use equation d
Step-by-step explanation:
because need to find out X which is the second section so you would do 60 subtract 35 which gives 25 so X would be 25 .
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