Cheryl read for 30 minutes twice yesterday.Today she read for twice as long as she did yesterday.choose the expression that is a correct translation of the problem.

Answer:

ummm what is the area?

Step-by-step explanation:

you need to factors to complete this question

Without seeing the graph of the linear function, it is impossible to determine if Tom's answer of 12 is correct or incorrect. However, it is important to understand the concept of slope and how it is calculated for a linear function.

The slope of a linear function represents the rate at which the y-coordinate changes for each unit increase in the x-coordinate. In other words, it measures the steepness of the line. Mathematically, the slope of a line is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line.

To calculate the slope of a line given its graph, one can choose any two points on the line and find the difference in their y-coordinates and x-coordinates. The slope is then the ratio of the change in y-coordinates to the change in x-coordinates. This can be expressed as:

slope = (change in y-coordinate) / (change in x-coordinate)

Now, if Tom has correctly identified two points on the line and calculated the difference in their y-coordinates and x-coordinates, and if he has obtained a ratio of 12 for the change in y-coordinate to the change in x-coordinate, then his answer of 12 for the slope would be correct.

However, it is also possible that Tom made an error in his calculation, or that he misread the graph, and obtained an incorrect answer. Therefore, it would be necessary to verify his calculations by checking the points he used and the formula he applied.

In conclusion, without further information about the graph of the linear function and the points chosen by Tom to calculate the slope, it is impossible to determine if his answer of 12 is correct or incorrect.

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Answer:

D

Step-by-step explanation:

...................

The solutions to the quadratic equation x² + 10x - 13 = 17 are x = -5 + √55 and x = -5 - √55. The correct answer is option D.

The quadratic equation is given as:

x²+10x-13 =17

Move the constant term to the right side of the equation:

x² + 10x - 13 - 17 = 0

x² + 10x - 30 = 0

Take half of the coefficient of the x-term (10) and square it: (10/2)² = 25.

Add the squared value to both sides of the equation:

x² + 10x + 25 - 30 = 25

(x + 5)² - 30 = 25

Simplify the equation:

(x + 5)² = 25 + 30

(x + 5)² = 55

Take the square root of both sides of the equation:

√((x + 5)²) = ±√55

x + 5 = ±√55

Solve for x by subtracting 5 from both sides:

x = -5 ± √55

Therefore, the solutions to the equation x² + 10x - 13 = 17 are:

x = -5 + √55 and x = -5 - √55.

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The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

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Answers:

======================================================

Explanation:

We divide the percentage values over 100 as you have done so for the first two boxes.

Drive alone = 80/100 = 4/5

Car pool = 11/100

----------

For the remaining two boxes, we do the same thing.

Public transit = 5/100 = 1/20

Other = 4/100 = 1/25

-----------

To reduce the fraction 5/100, we divide both parts by the GCF 5

So that's how 5/100 turns into 1/20

The same idea applies to 4/100 turning into 1/25 (except the GCF is 4 this time).

Answer:

=

1

3

3

Step-by-step explanation:

Answer:

1533g

Step-by-step explanation:

We know 2 apples weigh approximately 511g.

If we multiply this by three, we'll find the weight of 6 apples (because 2x3=6):

511x3=1533

Answer:

14%

Step-by-step explanation:

On edge 2020

Answer: 7

Step-by-step explanation:

315 divided by 45= 7

I hope this helps!

The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

3x = 6y

Step-by-step explanation:

8 - 2y = 6y and 3x is by itself so it would be 3x is equal to 6y.

Answer:

Yes. This is half a square, a full square has 360 degrees total because it has 4 right angles which are each 90. We know that there is a 50 degree and 90 degree angle, and since this is split it is 180 total. 180-140=40 degrees, so yes.

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

Answer:

(C) -7x - 5y = -48

Step by step explanation:

We look for the equation of the line AB

We have then:

y-yo = m (x-x0)

m = (y2-y1) / (x2-x1)

m = (4 - (- 1)) / (4 - (- 3))

m = 5/7

We choose an ordered pair:

(xo, yo) = (4, 4)

Substituting:

y-4 = (5/7) (x-4)

y = (5/7) x-20/7 + 4

7y = 5x - 20 + 28

7y = 5x + 8

y = (5/7) x + 8/7

The equation of the perpendicular line is:

-7x - 5y = -48

Answer:

Distributive Property

Step-by-step explanation:

It looks like you are multiplying the 6 to both the 3 and 8.

Answer:

Full problem or picture?

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

The probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that the company should stop the production line.

Step-by-step explanation:

We are given that Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching.

Let X = Number of baseballs having straight stitching

The above situation can be represented through the binomial distribution;

\(P(X = r) = \binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.......\)

where, n = number of samples (trials) taken = 7 baseballs

            r = number of success = exactly 5

            p = probbaility of success which in our question is the probability

                   that baseballs have straight stitching, i.e.; p = 89.4%

So, X ~ Binom(n = 7, p = 0.894)

Now, the probability that exactly five of the seven have straight stitching is given by = P(X = 5)

            P(X = 5) =  \(\binom{7}{5} \times 0.894^{5}\times (1-0.894)^{7-5}\)

                          =  \(21 \times 0.894^{5}\times 0.106^{2}\)

                          =  0.1347 or 13.47%

Since the probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that company should stop the production line.

Answer:

Y=70

Step-by-step explanation:To find Y add 57 + 13. To check your answer do 70-13=57.

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

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Answer:

Step-by-step explanation:

Answer:

\(x = -10.5\)

Step-by-step explanation:

Represent the number as x

Difference of the number and x:

\(x - 9\) --- (1)

Sum of 3 times the number and 12:

\(3 * x + 12\\\) ---- (2)

Equate 1 and 2

\(x - 9 = 3 * x + 12\)

\(x - 9 = 3x + 12\)

Collect Like Terms

\(x - 3x = 9 + 12\)

\(-2x = 21\)

Make x the subject

\(x = -\frac{21}{2}\)

\(x = -10.5\)

The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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Answer:

81

Step-by-step explanation:

thus it said 27 km/hr, she travel 27 km every hour so 27*3=81

The correct answer for the required values is 1825.5, 1,812.5, 165.2, 1,690, 1,935, and 245 respectively.

To find the mean, median, standard deviation, first quartile, third quartile, and interquartile range (IQR) of the full-time equivalent number of students (FTES) at Lake Tahoe Community College for the given years, we can solve it using the following formulas for various aspects:

Mean: μ = (Σx)/n

Median: Middle value of the data set

Standard deviation: σ = sqrt[Σ(x-μ)²/n]

First quartile (Q1): Median of the lower half of the data set

Third quartile (Q3): Median of the upper half of the data set

IQR: Q3 - Q1

Year         FTES

2005-06  1,585

2006-07  1,690

2007-08  1,735

2008-09  1,935

2009-10   2,021

2010-11         1,890

1. μ = (Σx)/n = (1,585 + 1,690 + 1,735 + 1,935 + 2,021 + 1,890)/6 = 1,825.2

Therefore the mean is 1,825.2

2. To find the median, arrange the data in ascending order:

1,585, 1,690, 1,735, 1,890, 1,935, 2,021

Since there are an even number of values, the median is the average of the two middle values, which are 1,812.5 and 1,812.5. So, the median is:

Median = (1,812.5 + 1,812.5)/2 = 1,812.5

3. σ = sqrt[Σ(x-μ)²/n]

= sqrt[((1,585-1,825.2)² + (1,690-1,825.2)² + (1,735-1,825.2)² + (1,935-1,825.2)² + (2,021-1,825.2)² + (1,890-1,825.2)²)/6]

= 165.2

4. To find the first quartile (Q1), find the median of the lower half of the data set, which consists of the values 1,585, 1,690, and 1,735.

Since there are an odd number of values, the median is the middle value, which is 1,690. Therefore, Q1 = 1,690.

5. To find the third quartile (Q3), we need to find the median of the upper half of the data set, which consists of the values 1,890, 1,935, and 2,021.

Since there are an odd number of values, the median is the middle value, which is 1,935. Therefore, Q3 = 1,935

6. IQR = Q3 - Q1

Substituting the calculated values in the equation

IQR = 1935 - 1690

= 245

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The inequality describing the given problem is x/5 ≥ 2.8 and Troy should at least jog for 14 miles in total.

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Troy set a goal for the total distance he wants to jog this week. He divided his goal evenly among the 5 jogs he planned for the week. Troy determined that each jog should be at least 2.8 miles to meet his goal.

x represent how many miles Troy wants to jog in all. We need to find an inequality describes the problem.

Since, he has divided his goal into 5 jogs and in total he did x jogs, therefore, jog for 1 day = x/5

Now, he set that each jog should be at least 2.8 miles to meet his goal.

That mean, he can jog 2.8 miles or more than it but not less than it,

Therefore, inequality will be,

x/5 ≥ 2.8

Now, finding x,

Multiply both sides by 5,

x ≥ 14

Hence, the inequality describing the given problem is x/5 ≥ 2.8 and Troy should at least jog for 14 miles in total.

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