Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

Aliaa is skating down a ramp with skateboard wheels that have a diameter of 60mm.

The diameter of Aliaa's skateboard wheels is given as 60mm. The diameter is the distance across the wheel through its center. It is important to note that the diameter is not the same as the radius, which is the distance from the center of the wheel to its outer edge. To calculate the radius of the wheel, we divide the diameter by 2. So, the radius of Aliaa's skateboard wheels is 30mm (60mm/2).

Learn more about diameter here

https://brainly.com/question/28162977

#SPJ11

Answer:

2nd choice

When looking for common factors we are looking for the prime factors that are in common and then multiplying the prime factors together to get the GCF.

Step-by-step explanation:

The picture shows the choice that is being used to find the GCF.

Answer:

2nd choice

When looking for common factors we are looking for the prime factors that are in common and then multiplying the prime factors together to get the GCF.

The measure of angle 3 based on the information is 142°.

We are given that L and M are parallel. Use all the condition or properties of parallel lines.

Here use vertically opposite angle. Also, coointerior angles sum is 180°.

Now, angle 6= 38° { Vertically opposite angle}.

angle 6 + angle 5 = 180° { as sum of coointerior angles are equal to 180°}

38°+angle 5 = 180°

or, angle 5 = 180°-38°

Therefore, angle 5 = 142°

Now, angle 3 = angle 5 { Vertically opposite angle}

Therefore, the measure of angle 3 is 142°.

Learn more about angles on:

https://brainly.com/question/25716982

#SPJ1

Answer:

Step-by-step explanation:

Formula

Total number of cookies = number servings * number of cookies in serving

Givens

Number of servings = 16

Number of cookies in each serving=4

Total Mass = 0.5 kg

Solution

Total number of cookies = 16*4

Total number of cookies = 64

Total mass of box = # cookies * mass of 1 cookie

Total Mass of box = 0.5

# cookies = 64

0.5 kg = 64 * mass 1 cookie           Divide by 64

0.5 / 64 = 64*mass 1 cookie/64     Compute

Answer: mass 1 cookie = 0.0078 kg

This question has 2 problems. I think this is the answer you should type in, but it is a mass, not a weight. Since the cookie is using weight for mass, and uses the units of mass, you have to do the same thing.

The units of the answer is not specified. Since the total mass is given in kg, then the units you use must be the same. However grams would be much more sensible. The answer would then be 7.8 grams.

Answer:

  10 pounds

Step-by-step explanation:

You want to know the number of pounds of peanuts in a mix of $5/lb peanuts and $6/lb almonds that gives 14 pounds of nuts for $74.

Let p represent the number of pounds of peanuts in the mix. The (14-p) is weight of almonds, and the total cost is ...

  5p +6(14 -p) = 74

Simplifying the equation gives ...

  -p +84 = 74

  10 = p . . . . . . . . add p-74

You should buy 10 pounds of peanuts to make the 14 lb bag cost $74.

__

Additional comment

You notice that simplifying the equation gives p a negative coefficient. If you choose the variable to represent the more expensive contributor, then the coefficient of that comes out positive. (We like positive coefficients, as they tend to reduce errors.)

Here, the problem is requesting the amount of the lower cost contributor, so we used the variable to represent that.

Often, you are asked to solve mixture problems using a system of equations. Those would use a variable for each of the quantities, and the equations would be ...

You notice that substituting for 'a' gives the equation we used above.

Jumping directly to this step saves a bit of written work, though the mental work is the same.

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

The answer is D

Step-by-step explanation:

The answer is D

Answer:

a = 3, b = - 2

Step-by-step explanation:

Given f(1) = 1 and f(2) = 5, that is

substitute x = 1 and equate to 1, substitute x = 2 and equate to 5

a + b = 1 → (1)

2a + \(\frac{b}{2}\) = 5 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate a

- 2a - 2b = - 2 → (3)

Add (2) and (3) term by term to eliminate a

0 - \(\frac{3}{2}\) b = 3

- \(\frac{3}{2}\) b = 3 ( multiply both sides by - \(\frac{2}{3}\) )

b = - 2

Substitute b = - 2 into (1)

a - 2 = 1 ( add 2 to both sides )

a = 3

Then a = 3 and b = - 2

The best conclusion from this hypothesis test in the context of the problem is that we can reject the null hypothesis. The null hypothesis for this problem is that the errors is not greater than the population mean.

The null hypothesis for this problem is that the population mean number of errors for the ethanol group is not greater than the population mean number of errors for the placebo group.

In other words, the null hypothesis is: H₀: μe ≤ μp. The alternative hypothesis is that the population mean number of errors for the ethanol group is greater than the population mean number of errors for the placebo group. In other words, the alternative hypothesis is: H₁: μe > μp.

The p-value is the probability of getting a test statistic at least as extreme as the one observed, assuming the null hypothesis is true. In this case, the p-value is 0.0106, which is less than the significance level of 0.01. This means that the observed test statistic is significant at the 1% level, and we reject the null hypothesis.

Therefore, we conclude that there is evidence to suggest that the population mean number of errors for the ethanol group is greater than the population mean number of errors for the placebo group.

Learn more about Hypothesis here:

https://brainly.com/question/29519577

#SPJ11

Answer: -31

Step-by-step explanation:

You can replace the +(-7) with a -7 instead giving us -15-9-7.

Doing it in order you get (-24)-7 = -31

Answer:

is-31

Step-by-step explanation:

-15-9=-24-7=-31

Answer:

3.868 * 10^9

Step-by-step explanation:

3868000000

=3.868 * 10^9

:]

The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Learn more about the random sample here:

https://brainly.com/question/12719656.

#SPJ1

Answer:

30 dogs

Step-by-step explanation:

100% = 50

1% = 50 ÷ 100 = 0.5

60% = 0.5 x 60 = 30

Answer:

30 of the animals are dogs

Step-by-step explanation:

60% of 50 is 30

I hope this helps! May I have brainliest?

Answer:

w - 8.8 > 27

Step-by-step explanation:

Answer:

To calculate the total amount, first find out how much you contribute and then add the amount your employer contributes.

Your contribution: 10% of $50,000

= ($50,000 * 10) / 100

= $5,000

Employer's contribution: 3% of $50,000

= ($50,000 * 3) / 100

= $1,500

Total contribution:

= Your contribution + Employer's contribution

= $5,000 + $1,500

= $6,500

So, the total amount being put away in your account each year is $6,500.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer 4x-5y +2 = 0. 5y =-4x-2. y = -4x/5 -2/5 slope = -4/5

Answer:

{y,x} = {2,1}

Step-by-step explanation:

// Solve equation [1] for the variable  y  

 [1]    y = 5x - 3

// Plug this in for variable  y  in equation [2]

  [2]    -5•(5x-3) - x = -11

  [2]     - 26x = -26

// Solve equation [2] for the variable  x  

  [2]    26x = 26  

  [2]    x = 1  

// By now we know this much :

   y = 5x-3

   x = 1

// Use the  x  value to solve for  y  

   y = 5(1)-3 = 2

Answer:

Step-by-step explanation:

First, substitute the 2 given values into the expression.

a ( 10b - 2a )

5 ( 10(2) - 2(5) )

Simplify to the lowest terms possible, without distributing.

5(20-10)

Distribute 5 into each term.

100-50 or 20(5)-10(5)

=50

The angles formed between the lines and their common transversal are;

9. a) line l

b) The corresponding angles are; 1 and 3, 2 and 4, 5 and 7, 6 and 8

c) Alternate interior angles; 6 and 3, 2 and 7

d) Alternate exterior angles; 1 and 8, 5 and 4

e) Consecutive interior angles; 2 and 3, 6 and 7

f) Consecutive exterior angles; 5 and 8, 1 and 4

10. a) Line r

b) Line q

c) Line s

d) Line q

e) Line p

11. a. Consecutive interior angles

b. Alternate exterior angles

c. Consecutive exterior angles

d. Alternate interior angles

e. Corresponding angles

f. None

g. Consecutive exterior angles

h. Consecutive interior angles

i. None

j. Corresponding angles

k. Corresponding angles

l. Alternate exterior angles

m. Alternate interior angles

n. Consecutive interior angles

An angle is the what is obtained at the space close to the point where two rays meet or two lines intersect.

9. a) A transversal is a line that intersects two lines at two different points

The transversal in the diagram is the line l

b) Corresponding angles are angles located in similar or matching corners.

The corresponding angles in the question are;

1 and 3

2 and 4

5 and 7

6 and 8

c) Alternate interior angles are angles that are located between the two lines but on the opposite sides of their common transversal

The alternate interior angles are;

6 and 3

2 and 7

d) Alternate exterior angles are angles located on the exterior sides of the two lines but on the opposite side to their common transversal

The alternate exterior angles are;

1 and 8

5 and 4

e) Consecutive interior angles are angles located on the inside of two lines and on the same side of their common transversal

The consecutive interior angles are;

2 and 3

6 and 7

f) Consecutive interior angles are angles located on the same side of a transversal and on the outside of the two lines

The consecutive exterior angles are;

5 and 8

1 and 4

10. ∠1 and ∠5 are corresponding angles

The transversal connecting ∠1 and ∠5 is r

b) ∠7 and ∠14 are alternate interior angles

The transversal connecting ∠7 and ∠14 is q

c) ∠8 and ∠11 are alternate exterior angles

The line connecting ∠8 and ∠11 is the line s (the letter after r is used because of lack of clarity of the image)

d) ∠6 and ∠15 are alternate exterior angles

The line linking ∠6 and ∠15 is the line q

e) ∠3 and ∠9 are consecutive interior angles

The line linking ∠3 and ∠9 is the line p

11. a. ∠4 and ∠11 are consecutive interior angles

b. ∠2 and ∠11 are alternate exterior angles

c. ∠6 and ∠16 are consecutive exterior angles

d. ∠8 and ∠13 are alternate interior angles

e. ∠11 and ∠15 are corresponding angles

f. ∠7 and ∠10 None

g. ∠9 and ∠14 are consecutive exterior angles

h. ∠12 and ∠15 are consecutive interior angles

i. ∠6 and ∠7 None

j. ∠1 and ∠3 are corresponding angles

k. ∠14 and ∠16 are corresponding angles

l. ∠6 and ∠15 are alternate exterior angles

m. ∠5 and ∠10 are alternate interior angles

n. ∠8 and ∠14 are consecutive interior angles

Learn more about the angles formed by a transversal to two lines here:

https://brainly.com/question/13209798

#SPJ1

a) To find the marginal cost, we need to find the derivative of the total cost function with respect to the rate of output (Q).

TC = 100Q - Q² + 0.3Q³

Marginal cost (MC) = dTC/dQ

= d/dQ(100Q - Q² + 0.3Q³)

= 100 - 2Q + 0.9Q²

To find the average cost, we need to divide the total cost by the rate of output (Q).

Average cost (AC) = TC/Q

= (100Q - Q² + 0.3Q³)/Q

= 100 - Q + 0.3Q²

b) To find the rate of output that results in minimum average cost, we need to find the derivative of the average cost function with respect to Q. Then, we set it equal to zero and solve for Q.

AC = 100 - Q + 0.3Q²

dAC/dQ = -1 + 0.6Q

= 0-1 + 0.6Q

= 00.6Q

= 1Q

= 1/0.6Q

≈ 1.67

Therefore, the rate of output that results in minimum average cost is approximately 1.67.

Learn more about Marginal Cost:

https://brainly.com/question/30165613

#SPJ11

She used 1/12 kg of salt when preparing the dinner.

An equation shows the relationship between numbers and variables in an expression.

There are 5/6 kg of salt in the kitchen. Mrs. Jackson used 1/10 of the salt when she was preparing dinner. Hence:

Amount of salt used = (1/10) * (5/6)kg = 1/12 kg

She used 1/12 kg of salt

The amount of salt remaining is the difference between the initial salt available and the quantity of used salt. Hence:

Salt remaining = 5/6 kg - 1/12 kg = 3/4 = 0.75 kg

Mrs. Jackson had 0.75 kg of salt remaining.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

We know that:

\(1. \space\ r + s + t = 180 + 180 + 180 - (Sum \space\ of \space\ interior \space\ angles \space\ of \space\ a \space\ triangle)\\ \\ 2. \space\ Sum \space\ of \space\ interior \space\ angles \space\ of \space\ a \space\ triangle = 180\)

This means that:

\(1. \space\ r + s + t = 180 + 180 + 180 - (180)\)

Let's simplify the equation to find r + s + t.

Simplifying the equation:

\(r + s + t = 180 + 180 + 180 - (180) \\ \\ r + s + t = 180 + 180 + 180 - 180 \\ \\ r + s + t = 180 + 180 \\ \\ r + s + t = 360\)

Thus, the sum of r, s and t is 360°

Answer: the sum of r, s and t is 360°

I hope i helped you out.

If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.

The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

To learn more about deviation visit;

https://brainly.com/question/31835352

#SPJ11

Its A

Because

a

is

right

Answer: 140

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

Khan academy answer

Answer: A

Step-by-step explanation: It's the first option

1) To find a vector parallel to the line defined by the symmetric equations x + 2y - 4z = -5, -9, 5, we can read the coefficients of x, y, and z as the components of the vector.

Therefore, a vector parallel to the line is <1, 2, -4>.

2) To find a point on the line, we can set one of the variables (x, y, or z) to a specific value and solve for the other variables. Let's set x = 0:

0 + 2y - 4z = -5

Solving this equation, we get:

2y - 4z = -5

2y = 4z - 5

y = 2z - 5/2

Now, we can choose a value for z, plug it into the equation, and solve for y.

Let's set z = 0:

y = 2(0) - 5/2

y = -5/2

Therefore, a point on the line is (0, -5/2, 0).

3) The parametric equations of the line through the point (4, -1, -6) and parallel to the given line with the parametric equations x(t) = 2 + 5t, y(t) = -8 + 6t, z(t) = 8 + 7t, can be obtained by substituting the given point into the parametric equations.

x(t) = 4 + (2 + 5t - 4) = 2 + 5t

y(t) = -1 + (-8 + 6t + 1) = -8 + 6t

z(t) = -6 + (8 + 7t + 6) = 8 + 7t

Therefore, the parametric equations of the line are:

x(t) = 2 + 5t

y(t) = -8 + 6t

z(t) = 8 + 7t

4) Given the lines L₁: x(t) = 6, y(t) = 5 - 3t and L₂: y(s) = 7 + t, z(s) = 3s - 4, we need to find the acute angle between the lines.

First, we need to find the direction vectors of the lines. The direction vector of L₁ is <0, -3, 0> and the direction vector of L₂ is <0, 1, 3>.

To find the acute angle between the lines, we can use the dot product formula:

cosθ = (v₁ · v₂) / (||v₁|| ||v₂||)

Where v₁ and v₂ are the direction vectors of the lines.

The dot product of the direction vectors is:

v₁ · v₂ = (0)(0) + (-3)(1) + (0)(3) = -3

The magnitude (length) of v₁ is:

||v₁|| = √(0² + (-3)² + 0²) = √9 = 3

The magnitude of v₂ is:

||v₂|| = √(0² + 1² + 3²) = √10

Substituting these values into the formula, we get:

cosθ = (-3) / (3 * √10)

Finally, we can calculate the acute angle by taking the inverse cosine (arccos) of the value:

θ = arccos((-3) / (3 * √10))

Learn more about vector here:

brainly.com/question/24256726

#SPJ11

Answer:

the answer is 6

Step-by-step explanation:

Find what's 1/8 divided by 3/4 in fraction form?

step 1 Address formula, input parameters & values.

Input parameters & values:

1/8 and 3/4

Step 2: change the problem

Remember, always do KCF(Keep,Change,Flip)

First i keep 1/8

1/8 ÷ 3/4

Then I change the sign to multiplication because you need to need to find the answer and simplified it

1/8 x 3/4

Make sure u always flip the other fraction because you are multiplying

1/8 x 4/3

then you do the rest

Step 3:solve

1/8 x 4/3=4/24

Step 4: simplified

24/4=6

Now your answer is 6

Hope it helps :)

Answer:

-6/5

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (14 - 8)/(-3 - 2)

slope = 6/(-5)

slope = -6/5

The solution is -6/5

The slope of the line that passes through the point A ( 2 , 8 ) and B ( -3 , 14 ) is slope m = -6/5

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the first point be A

Now , the value of A is A ( 2 , 8 )

Let the second point be B

The value of B is B ( -3 , 14 )

And , the slope of the line between 2 points is given by the formula,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 14 - 8 ) / ( -3 - 2 )

On simplifying the equation , we get

Slope m = 6 / ( -5 )

Slope m = -6/5

Therefore , the slope of the line is m = -6/5

Hence , The slope of the line that passes through the point A ( 2 , 8 ) and B ( -3 , 14 ) is slope m = -6/5

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

D. 20 ≤ x ≤ 50. is the inequality that represents the scenario.

inequality is a statement of an order relationship consisting, greater than, greater than or equal to, less than, or less than or equal, between two numbers or algebraic expressions.

From the given question;

On combining both statement, we will obtain an as follows;

20 ≤ x ≤ 50

Thus, the option D (20 ≤ x ≤ 50) is the inequality that represents the scenario.

Learn more about inequality here:https://brainly.com/question/1406693

#SPJ1

The complete question is below here:

A. 20 ≥ x ≥ 50

B. 20 < x < 50

C. 20 > x > 50

D. 20 ≤ x ≤ 50