Josh determined the solution set to the following inequality. His work is shown below.

|36 – 4p| > 16

1. (36 – 4p) > 16, –(36 – 4p) > 16

2. –4p > –20
  p > 5

3.       –36 + 4p > 16
        4p > 52
        p > 13

4. p > 5 or p > 13

Analyze Josh’s work. Is he correct? If not, what was his mistake?
Yes, he is correct.
No. In step 1 his second inequality is not correct.
No. When solving the first inequality in step 2, he did not flip the inequality sign when he divided by a negative.
No. When solving the second inequality in step 3, he did not flip the inequality sign when dividing by a positive.

Answer:

h =13

Step-by-step explanation:

[tex]11h - (2h-1) = 118\\\\\mathrm{Expand\:}11h-\left(2h-1\right):\quad 9h+1\\9h+1=118\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\9h+1-1=118-1\\\\Simplify\\9h=117\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9h}{9}=\frac{117}{9}\\\\Simplify\\h =13[/tex]

Answer:

H=13

Step-by-step explanation:

First, remove the individual terms from parenthesis. Be careful to handle the signs of each individual term correctly:

to solve for  h

while keeping the equation balanced:

9 h 9 = 117 9

9 h 9 = 13

Answer:

The anwser is option 2

Step-by-step explanation:

Answer : x= 11°

AngleA=44°

AngleB=55-9=46°

4

Step-by-step explanation:

Answer:

[tex]a^{3}[/tex]=-5

Step-by-step explanation:

Answer:

A = 8 + 2x

Step-by-step explanation:

Variables:

A = Books Abby has read

x = Books Kristen has read

Step-by-step explanation:

[tex] - 9 + 6p = 5p[/tex]

[tex]6p - 5p = 9[/tex]

[tex]p = 9[/tex]

is the answer.

The things to Note:-

☃️ Hope it HELPS ☃️

Answer:

1409.724683544

Step-by-step explanation:

You could have just used a calculator lol

Answer:

C.   100 ≤ 20x 1000

Step-by-step explanation:

area of a rectangle is L x W

where W = 5,  L = 4x

area 100 ≤ A ≤ 1000

A = 5 (4x)

= 20x

in which inequality 100 ≤ 20x 1000

Answer:

-11

Step-by-step explanation:

the formula for the distannce of AB with A the starting point is

B-A

so in this case

FB

F is the starting point

-6-5=-11

Answer:

sin22=x/11

0,374×11=x

x=4,12

Step-by-step explanation:

Between each point of "5" there are 10 little squares in between and each number passes every 2 little squares. So we can use this to solve the questions.

Part A:

Count all the pupils who scored "more" than 7 using the assumption we made above.

12 scored more than 7

Part B:

Since we know that 14 scored more the seven, count all of the pupils who scored 7 and less.

15 scored a seven or less.

Add both numbers.

12 + 15 = 27 total pupils

Part C:

The assumption we had to make was to count each two little squares that represent one pupil to find the answer for Part B.

Best of Luck!

Answer:

the person above is 100% right

Step-by-step explanation:

Use exponent rule: x^y * x^z = x^y+z

4^2 * 4^8

4^2+8

4^10

1,048,576

Best of Luck!

Answer:

to be parallel

slope should be equal

for first question

y=1/3X +2

comparing with y=m1x+c

slope = 1/3

similarly for second equation

y=1/3x -4

comparing with y=m2x + c

m2= 1/3

since m1=m2

lines are parallel

Proportional reasoning is a form of 'operational reasoning' based on

Piaget's theory.

Proportional reasoning can be used to solve a problem; B. When one

quantity is a constant multiple of the other.

Reasons:

Proportional reasoning is the reasoning based on the cognition that a

relationship exists between the multiples of the variables in the problem,

such that the magnitude of a variable can implied from the changes made

to the relationships connecting the variables.

An example of proportional reasoning is the distance travelled, d, after a

given time, t, at a constant velocity, v;

To judge the distance travelled, a constant, v,  multiplies the time, t, such

that, at a longer time, it can be reasoned that the distance travelled is

much further.

Therefore;

Learn more here:

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Options B and C are the correct conditions under which you can use proportional reasoning to solve a problem:

Proportional reasoning is a mathematical concept that involves understanding and solving problems that relate two or more quantities in a proportional manner. It helps us analyze and predict how changes in one quantity affect another based on their proportional relationship.

B: When one quantity is a constant multiple of the other:

In this case, if one quantity is a constant multiple of another, it means that they are directly proportional. For example, if the quantity of oranges you buy is always twice the quantity of apples you buy, then the quantities of oranges and apples are directly proportional. Proportional reasoning can be used to solve problems related to this relationship.

C: When the two quantities multiplied equal a constant:

If the product of two quantities remains constant, regardless of their individual values, they are inversely proportional. For instance, if the time taken to complete a task is inversely proportional to the number of people working on it, as the number of people increases, the time taken decreases. Proportional reasoning can be used to solve problems involving inverse proportionality.

In summary, proportional reasoning is used when two quantities are directly or inversely proportional to each other, i.e., when one quantity is a constant multiple of the other or when the product of the two quantities remains constant.

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Answer:

ten billionths place

Step-by-step explanation:

Answer: line k is the segment bisector and the distance between RS is 34

Answer:

1,296

Step-by-step explanation:

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

The number of baseball cards Sam collected will be 1,296.

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 sam collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binder has 36 pages.

The number of cards will be calculated as:-

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

Hence, the number of cards will be 1,296.

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LCM of 7,8 and 9 is 504

7=1,7

8=2x2x2

9=3×3

LCM =2x2x2x3x3x7 =504

We can use the given points to solve.

Slope formula: y2-y1/x2-x1

3-(-3)/-4-2

6/-6

-1

Best of Luck!

(2, -3) and (-4, 3)

The slope of the line through (2, -3) and (-4, 3).

y2 - y1 / x2 - x1

3 + 3 / -4 - 2

= 6 / -6

= -1

-1

Answer:

  125°°

Step-by-step explanation:

∠DFC is a vertical angle with ∠BFE. As such, it is the sum of the right angle and the one marked 35°.

  ∠DFC = 90° +35°

  ∠DFC = 125°

_____

Alternate solution

∠CFA = 90° = ∠CFB +∠BFA

∠CFB = 90° -35° = 55°

∠BFC and ∠CFD are a linear pair, so total 180°

∠CFD = 180 -55° = 125° = ∠DFC

Answer:95%

Step-by-step explanation:

Answer:

25% decrease

Step-by-step explanation:

did the quiz

Answer:

Austin answered 7 questions incorrectly.

0.941941 converted to a simplified fraction is 941941/1000000

Answer:

3

Step-by-step explanation:

Using PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction), You do 8/2 first, which equals 4, then add 3 which turns 4 into a 7, then finally subtract 4 and your final answer is 3.

Answer:

3

Step-by-step explanation:

I took the test >.<

Answer:

D

Step-by-step explanation:

the answer d has 3 values which gives you a hint on the word TRInomial. Because "tri" means 3.

Answer:

The coordinate of B is (6,0)

Step-by-step explanation:

Given;

coordinate of A = (-4,2) = (x₁, y₁)

coordinate of M = (1,1)

let coordinate of B = (x₂, y₂)

Mid-point is given by;

[tex]M = \frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\M= (1,1)\\\\1,1 =\frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\ \frac{X_1 + X_2}{2} = 1 ----equation (1)\\\\\frac{Y_1 + Y_2}{2} = 1 -----equation(2)\\\\Solving \ equation(1)\\\\\frac{-4+ X_2}{2} = 1\\\\-4+ X_2 = 2\\\\X_2 = 2+4\\\\X_2 = 6\\\\Solving \ equation(2)\\\\\frac{Y_1 + Y_2}{2} = 1\\\\\frac{2+ Y_2}{2} = 1\\\\2+Y_2 = 2\\\\Y_2 = 2-2\\\\Y_2 = 0\\\\B = (X_2, \ Y_2)\\\\B = (6, \ 0)[/tex]

Therefore, the coordinate of B is (6,0)