need help with slope from two points

If 15 students wore jeans, then 9 students wore shorts based on the given ratio of 5:3.

To determine the number of students who wore shorts, we can use the given ratio of students who wore jeans to students who wore shorts, which is 5:3.

Let's assume that the number of students who wore shorts is represented by x. According to the ratio, the number of students who wore jeans is 5.

Now, we can set up a proportion using the ratio:

5/3 = 15/x

To solve for x, we can cross-multiply:

5x = 3 * 15

5x = 45

Dividing both sides of the equation by 5:

x = 45/5

x = 9

Therefore, according to the specified ratio of 5:3, if 15 pupils wore jeans, then 9 students wore shorts.

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Answer:

1- Yes

2- No

3. No

Step-by-step explanation:

Not 100% sure

Answer:

1) yes

2) yes

3)no

Answer:

2 cents

Step-by-step explanation:

you would just divide the Flav-O-Squeeze price by 12 since there are 12 pouches and the Turbo Taste price by 20 since there are 20 pouches and then you would get 1 pack of Flav-O-Squeeze is 49 cents and 1 pack of Turbo Taste is 51 cents and if you subtract them Turbo Taste is 2 cents more then Flav-O-Squeeze

The cost of Turbo Taste per pouch is $0.02.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches.

The more cost will be calculated as,

Cost of Turbo Taste = 10.20 / 20 = $0.51

The cost of Flate-O-Squeeze = 5.88 / 12 = $0.49

The more cost of Turbo-Taste = 0.51 - 0.49

The more cost of Turbo-Taste = $0.02

Therefore, the cost of Turbo Taste per pouch is $0.02.

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The Converse of Alternate Exterior Angles Theorem justifies the statement "a ∥ b" when the alternate exterior angles are congruent.

The theorem that justifies the statement "a ∥ b" is the Converse of Alternate Exterior Angles Theorem. The Converse of Alternate Exterior Angles Theorem states that if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.
Here is a step-by-step explanation:
1. Start by drawing two lines, a and b, that are cut by a transversal. The transversal is a line that intersects both lines.
2. Identify the alternate exterior angles. These are the angles that are on opposite sides of the transversal, and outside the two lines.
3. Measure the alternate exterior angles and check if they are congruent. If the alternate exterior angles are congruent, then you can conclude that the lines a and b are parallel.
4. Remember that the converse of a theorem allows you to reverse the statement. In this case, the Alternate Exterior Angles Theorem states that if two lines are parallel, then the alternate exterior angles are congruent. The converse states that if the alternate exterior angles are congruent, then the lines are parallel.
So, if you have measured the alternate exterior angles and found that they are congruent, you can conclude that the lines a and b are parallel.
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The only theorem that justifies that line a is parallel to line b is Option D.

A) Converse of the Corresponding Angles Theorem:

It states that Lines are parallel if the two lines and the transverse line form matching corresponding angles.

B) Converse of Alternate Interior Angles Theorem: It states that lines are parallel if they intersect at a transverse line such that their alternating interior angles are coincident.

C) The converse of the same-side interior angle theorem states that two lines are parallel if the traverse intersects them such that the two equilateral interior angles are complements.

D) Converse of the Alternate Exterior Angles Theorem: It states that Lines are parallel if two lines intersect a transverse line and the alternate exterior angles are coincident. 

Thus, the only theorem that justifies that line a is parallel to line b is Option D.

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The measure of the arc TQ is 180°.

Given that a circle with an angle subtended outside is 38° and a small arc of 104°, we need to determine the measure of arc TQ.

So, according to the property of a circle, we have,

m ∠R = 1/2 [m arc TQ - m arc SQ]

38° × 2 = m arc TQ - 104°

76° = m arc TQ - 104°

m arc TQ = 76° + 104°

m arc TQ = 180°

Hence the measure of the arc TQ is 180°.

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Answer: 5188.04 miles (2 d.p.)

Step-by-step explanation:

Work out how many kilometres she travels in 5 hours

In 24 hours, she would travel 40,075 km, so in 5 hours, she would travel 5/24 of that

5/24 × 40075 = \(8348\frac{23}{24}\)

Now work out how many miles that is

\(8348\frac{23}{24}\) × 0.6214 = 5188.04 miles (2 d.p.)

A person at the equator would travel approximately 5,187.7 miles in five hours.

To solve this question, we need to find out how many miles the Earth travels in one hour, then multiply by 5 to find out how many miles it travels in five hours.

Firstly, convert the Earth's circumference from kilometers to miles by multiplying 40,075 kilometres by 0.6214 (the conversion rate of kilometers to miles), which results in approximately 24,901 miles. This is the distance the equator travels in one day.

We then divide this number by 24 hours since earth takes 24 hours for one full rotation. This equals approximately 1,037.54 miles per hour.

Last step is to multiply this value by 5 hours. This would result in 5,187.7 miles. So, a person standing at the equator would travel approximately 5,187.7 miles in five hours.

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The value x of given linear equation in one variable is \(13\)

To solve for x in the equation \(4x-1 +3x -1 +7x = 180\), we first need to combine the like terms on the left side:

\(4x-1 +3x -1 +7x = 180\)

Next, we can isolate the variable term by adding \(2\) to both sides:

\(14x -2 +2 = 180+2\\14x = 182\)

Finally, we can solve for x by dividing both sides by \(14\):

\(x = \frac{182}{14}\)

This can be simplified by dividing both the numerator and denominator by their greatest common factor, which is \(14\):

\(x = 13\)

Therefore, the value of \(x\) that satisfies the equation \(4x-1 +3x -1 +7x = 180\) is \(x = 13\)

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The wavelength of the light is found to be 384.06 nm. The light is coming from the source as sodium bulb.

The distance between two crests or troughs of a light wave is known as the wavelength of light.  

For the stated question-

The wavelength of the light before refraction = 510.8 nm (air).

The refractive index of 1.33.(water).

Thus,

refractive index = wavelength of the light in air/wavelength of the light in water.

μ = λ(air) / λ(water)

1.33 = 510.8 /  λ(water)

λ(water) = 510.8/1.33

λ(water) = 384.06 nm

Thus, the wavelength of the light is found to be 384.06 nm.

The light is coming from the source as sodium bulb (for wavelength of 510.8 nm.)

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Answer:

The value of the scholarship is $10800

Step-by-step explanation:

Step one:

Daryl has a scholarship that pays 80% of his tuition per year

the total value of the scholarship if the tuition is $13,500 per year

Step two:

let us solve for the value of 80% of the tuition which is $13,500 per year.

this is calculated as

=80/100*13,500

=0.8*13,500

=10,800

The ​x-coordinate of point R′ after dilation is 3

The given parameters are:

R(2,−1),S(3,3), and T(4,6).

The scale factor of dilation is given as

Scale factor = 1.5

Mathematically, this transformation can be represented as

(x, y) = 1.5(x, y)

When represented as a function, we have

Image = 1.5 * Point

For point R, we have

R = (2, -1)

Substitute the equation Point =  (2, -1) in the equation Image = 1.5 * Point

So, we have the following equation

R' = 1.5 * (2, -1)

Evaluate the product

R' = (3, -1.5)

Remove the y-coordinate

R'x = 3

Hence, the image of the x cooridnates is 3

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(3 miles) + (440 yards) + (6 miles) + (880 yards)

= 9.75 miles

After adding all the given values in, the same unit will be equal to 9.75 miles.

Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.

Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.

As per the given information in the question,

3 miles + 440 yards + 6 miles + 880 yards

Now, use unit conversion,

1 mile = 1760 yards

440 yards = 0.25 miles and,

880 yards = 0.50 miles

So, total distance is,

3 miles + 0.25 miles + 6 miles + 0.50 miles = 9.75 miles.

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Answer:

1st things 1st...

Complimentary angles are either of 2 angles that sum to 90ﾟ

Supplementary angles are either of 2 angles that sum to 180ﾟ

Step-by-step explanation:

A. Angles 1 and 2 are supplementary angles; these 2 angles add up to 180ﾟ

B. Angles 1 and 2 are neither complimentary angles nor supplementary angles as they add up to 91°

C. Angles 1 and 2 are supplementary angles so add up to 180ﾟ

D. Angles 2 and 3 are complimentary angles they sum up to 90ﾟ

E. 132ﾟ+ 38ﾟ sum up to 170ﾟ so these angles are neither complimentary angles nor supplementary angles

F. A straight line is 180°. Since angle 2 = 90°, angles 1 and 3 also equal 90ﾟ Therefore, angles 1 and 3 are complimentary angles

Given statement solution is :- The value of m is -98/9.

The correct answer is A. -98/9.

To determine the value of m in the given system of equations, we need to find the condition under which the system has no solutions.

The system of equations can be written in matrix form as:

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[  9  -7 ]   [ x ]   [ 11 ]

[ 14   m ] * [ y ] = [  6 ]

For this system to have no solutions, the coefficient matrix [ 9 -7 ; 14 m ] must be singular, which means its determinant must be zero.

Determinant of the coefficient matrix:

det([ 9 -7 ; 14 m ]) = (9 * m) - (-7 * 14) = 9m + 98

Setting the determinant equal to zero, we have:

9m + 98 = 0

Solving for m:

9m = -98

m = -98/9

Therefore, the value of m is -98/9.

So, the correct answer is A. -98/9.

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Answer:

0.947

Step-by-step explanation:

Given that :

Play bridge and swim = 72%

Play bridge = 76%

Let play bridge = B

Swim = S

Thus ;

P(B n S) = 0.72

P(B) = 0.76

Probability that member swims given that member plays bridge

P(S | B) = P(BnS) / P(B)

P(S | B) = 0.72 / 0.76

P(S | B) = 0.947

Answer:

6kg

Step-by-step explanation:

kg are bigger than g

He equation that rightly shows the Commutative Property of addition is

10 x3/10 = 3/10 x 10

The Commutative Property of Multiplication states that changing the order of the factors doesn't change the product. In other words, when you multiply two figures, it doesn't count which number comes first. The equation 10 x3/10 = 3/10 x 10 is an illustration of this property, as both sides of the equation represent the same value, indeed though the order of the factors is different.

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Answer:

x = pm - pn

Step-by-step explanation:

m = n + \(\frac{x}{p}\)  Subtract n from both sides

m - n = n - n + \(\frac{x}{p}\)

m-n = \(\frac{x}{p}\)   Multiply both sides by p

p(m - n) = (\(\frac{p}{1}\)) \(\frac{x}{p}\)          \(\frac{p}{1}\) means the same as p

pm - pn = x             Distribute the p

x = pm - pn

Answer:

D) 8x²-172x+120

Step-by-step explanation:

Length=2(-2x+20)+6

Width=-2x+20

(-4x+40+6)(-2x+20)

(-4x+46)(-2x+20)

8x²-80x-92x+920

8x²-172x+920

Each time X increases, there is a perfectly predictable increase in Y  is indicated by a Pearson correlation of r= +1.00 between X and Y

A Pearson correlation coefficient of +1.00 indicates a perfect positive linear relationship between the variables X and Y. It means that as X increases, Y increases in a perfectly predictable manner. The correlation coefficient of +1.00 indicates a strong and direct relationship between the two variables, where the values of Y can be precisely determined based on the values of X.

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The Average Variable Cost (AVC) Formula is a fundamental concept in economics and business management. It is used to calculate the average cost of producing one unit of a good or service, taking into account only the variable costs of production.

Variable costs are those costs that change with the level of production, such as raw materials and labor. Fixed costs, on the other hand, do not change with the level of production and include expenses such as rent and equipment.

The AVC formula is calculated by dividing the total variable costs of production by the number of units produced. This gives the average cost of producing each unit of the good or service, taking into account only the variable costs.

The value of the AVC formula lies in its ability to help managers and business owners understand the cost structure of their operations. By calculating the average variable cost, they can determine the minimum price they need to charge for their product or service in order to cover their costs and make a profit.

In addition, the AVC formula can be used to compare the efficiency of different production methods. By calculating the AVC for each method, managers can determine which method is the most cost-effective, taking into account only the variable costs.

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The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

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Answer:

Add and subtract the second term to the expression and factor by grouping.

     (2 x -1) ( x^2 + 4)

Hope this helps!

Based on the information given the gain or loss percent on the whole transaction​ is 2%.

First step is to calculate the profit on the whole transaction

Profit=(8%×8,000)-(4%×8,000)

Profit=640-320

Profit=320

Now let calculate the profit percentage on the whole transaction

Profit percentage=320/(8000+8000)×100

Profit percentage=320/16000×100

Profit percentage=2%

Inconclusion the gain or loss percent on the whole transaction​ is 2%.

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Answer:

Step-by-step explanation:

Answer:

24.6 cm^2

Step-by-step explanation:

3.28m = 328 cm

75mm = 0.075 cm

Area of rectangle: L x W

328 times 0.075 = 24.6 cm^2

Answer:

67.50

Step-by-step explanation:

100%-> 450

15%-> 67.50

Answer:

y = 2x+6

Step-by-step explanation:

y = 2x + 5

This line is in slope intercept form  y = mx+b where m is the slope and b is the y intercept

The slope is 2.  Parallel lines have the same slope

y = 2x+b

Using the given point and substituting it into the equation

2 = 2(-2) +b

2 =-4+b

Add 4 to each side

2+4 = -4+b+4

6 = b

y = 2x+6

The probability that the prize goes to a woman is 9/19.

To calculate the probability that the prize goes to a woman, we need to determine the number of women present at the party and divide it by the total number of guests.

Given:

Number of men present = 200

Number of women present = 180

Total number of guests = Number of men + Number of women

Total number of guests = 200 + 180 = 380

The probability that the prize goes to a woman is the number of women divided by the total number of guests:

Probability = Number of women / Total number of guests

= 180 / 380

= 9 / 19

Therefore, the probability that the prize goes to a woman is 9/19.

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1) x = negative what number?

2) 30

3) 7.3

4) 0