Hannah factored the expression 24xy + 15y. Her work is shown below.



1. GCF (24xy, 15y) = 3y

2. 24xy/3 = 8xy, 15y/3 = 5y

3. 3(24xy + 15y)

What are the errors in Hannah’s work? Check all that apply.
She divided by 3 instead of the GCF.
She found the wrong GCF.
She divided wrongly.
She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.
She didn’t undistribute the GCF from the original expression.

Answer:

On the diagram, construct lines BY, XY and DY.

Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.

BX=DX

AB+radius = CD +radius

AB=CD

Answer:

1.47058823529

Step-by-step explanation:

Round if needed

Answer:

Tim is gonna get diabetes >:(

Step-by-step explanation:

but your answer is .68 cents lol

Answer:

54.6

Step-by-step explanation:

29+58+15+129+75+22= 328

328÷6= 54.6666666667

round to the nearest tenth= 54.6

Answer:

Slope = ⅓

Step-by-step explanation:

Slope (m) = change in y/change in x

Using two points on the line, (-5, 1) and (1, 3),

Change in y = 3 - 1 = 2

Change in x = 1 - (-5) = 6

Slope (m) = change in y/change in x = 2/6

Slope = 1/3

Answer:

Table B

Step-by-step explanation:

Recall: a table of values can only represent a function if and only if every x-value has exactly only one y-value.

The only table that satisfies this condition is the table in option B.

In table B, every x-value is related to only exactly one y-value.

Answer:

a) The 95% confidence interval estimate of μ is (39.35, 42.5).

b) Second-year students tend to procrastinate more than first-year students

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 69 - 1 = 68

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 68 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9955

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.9955\frac{6.85}{\sqrt{69}} = 1.65[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 41 - 1.65 = 39.35

The upper end of the interval is the sample mean added to M. So it is 41 + 1.65 = 42.65

The 95% confidence interval estimate of μ is (39.35, 42.5).

b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)?

The confidence interval for second-year students had higher values both at the lower and the upper end of the interval, which means that they tend to procrastinate more than first-year students

Answer: A. -sqrt (3)/2, 1/2

To get from radians to degrees, you replace the pi symbol with 180° and solve

So, (5 • 180) / 6 = 150°

150° makes a 30° angle, as the nearest x axis is the negative x axis at 180°.

As we know, a 30°, 60°, 90° triangle has sides sqrt(3)/2 and 1/2.

Since the 30° angle is on the x axis, sqrt(3)/2 will be the x value and 1/2 will be the y value. And since the triangle is in the negative x, positive y quadrant, 1/2 will be positive and sqrt(3)/2 will be negative. Giving you (-sqrt(3)/2, 1/2)

Answer:

D

Step-by-step explanation:

a b and c are not correct by looking at the first value

Answer:

Im guessing its D because i cant see all the options.

Step-by-step explanation:

its the graph that has two dots on 1, three dots on 2, one dot on 3, and four dots on 4.

Answer:

y=2x-2

Step-by-step explanation:

Answer:

the answer is option number b..

Answer:

I am guessing A or C.

Step-by-step explanation:

Hope this helps you :)

Answer:

The sin of 49 degrees is 0.75471.

Step-by-step explanation:

To obtain 49 degrees in radian multiply 49° by  pi/ 180° = 49/180pi. Sin 49degrees = sin (49/180 × pi) .

Answer:

33

Step-by-step explanation:

11 times 3 =33

Answer:a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Anything that is multiplied greater than 1 will be greater than what the other factor is. You are correct!

Answer:

B, 2 5/6 x 2 5/6

Step-by-step explanation:

This is the only answer that is greater than 2 5/6

Answer:

Design and implement a plan that collects data.

Step-by-step explanation:

Answer:

Design and implement a plan that collects data.

Step-by-step explanation:

Looking at the answer choices, we can use the process of elimination:

1) Form a question that can be answered by data.

2) Design and implement a plan that collects data.

3) Analyze the data using graphical and numerical methods.

4) Interpret and compare the data.

1) The question is most likely already formed, as a survey cannot be conducted without a question or objective. Not 1.

2) A survey collects data.

3) This happens after the collection of data, or the survey. Not 3.

4) This also happens after the collection of data, or the survey. Not 4.

Answer: = 240 mph.

Step-by-step explanation:

Let x = speed of the plane.

t= time taken

As per given, we have

[tex]t=\dfrac{450}{x+30}\ \ \ ...(i)\\\\ t=\dfrac{350}{x-30}\ \ \ ...(ii)[/tex]    [Time = distance / speed]

From (i) and (ii), we get

[tex]\dfrac{450}{x+30}=\dfrac{350}{x-30}\\\\\Rightarrow\ 450(x-30)=350(x+30)\\\\\Rightarrow\ 450x-13500=350x+10500\\\\\Rightarrow\ 450x-350x=10500+13500\\\\\Rightarrow\ 100x=24000\\\\\Rightarrow\ x=240[/tex]

Hence, the speed of the plane = 240 mph.

Answer:

I cant see the choices

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is A. The initial weight is known so it can’t be mutipliy with a variable. We don’t know how many weeks he will lose weight, but we know that the goal is 228 and that he had planned to lose 2 pounds per week

so 2 multiply the weeks, the variable

Answer:

you could just do 12/1 or let 8 turn into 24/3

Step-by-step explanation:

on step 1 we should do reciprocal

on step 2 we should multiply

on third step 3 we should divide

so the answer is 12

Answer:

5cm

Step-by-step explanation:

What exactly do you mean by x?

The value of x is 5 cm.

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse2 = Base2 + Height2

162 = B2 + 82

B2 = 256 - 64

B = √192 = 13.856 units

Given:

Two sides are 4 cm and 3 cm

Using Pythagoras theorem

x² = 4² + 3²

x² = 16+ 9

x² = 25

x=√25

x= 5 cm

Also, the range of x is in between 1 cm and 7 cm.

Learn more about pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Answer: I believe the Big B is 169 and the perimeter is 52

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 1/2x

the angle is 30°  or in radians  [tex]\pi[/tex]/6