Steve bought 7 boxes of pencils. Each Box contained 9 pencils. He wants to give each of his 6
friends as many pencils as possible and keep the rest. Which statement is true?

Answer:

θ ≈ 50.1°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{61}{95}[/tex] , then

θ = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{95}[/tex] ) ≈ 50.1° ( to the nearest tenth )

The student went from x+y = 2 to 2x+2y = 2, which is not correct. They multiplied the left side by 2, but forgot about the right hand side.

They should have gone from x+y = 2 to 2x+2y = 4 after multiplying both sides by 2.

So they should have this new equivalent system

[tex]\begin{cases}3x-2y = 8\\2x+2y = 4\end{cases}[/tex]

Add straight down and we end up with the new equation 5x = 12 which solves to x = 12/5 = 2.4

Use that x value to solve for y. You should get y = -2/5 = -0.4

Rule for even

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]

Rule for odd

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]

#1

[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]

[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]

[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]

#2

[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]

[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]

[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]

[tex]\\ \sf\longmapsto -g(2)=-1[/tex]

#3

[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]

[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]

[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]

[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]

#4

[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]

[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]

[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]

[tex]\\ \sf\longmapsto -g(1)=-2[/tex]

Step-by-step explanation:

x/6=w+5

x=6(w+5)

x=6w+30.

hope this helps you.

The value of x is x = 6w + 30

Data;

This is a mathematical terms used to represent a value from an entire equation.

In the given equation, we are given a value required to make x the subject of formula

Step 1

Add 5 to both sides of the equation

[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]

Step 2

Cross multiply both sides

[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]

From the calculations above, the value of x is x = 6w + 30

Learn more on subject of formula here;

https://brainly.com/question/790938

Answer:

3) rate of change = -5/4

4) rate of change = 3

5) rate of change = 1

6) steepest slope = #4

7) Please see the attached graph and explanation below

8) Please see the attached graph and explanation below

Step-by-step explanation:

I will do questions 3, 4, 6, 7, and 8, and will let you work on question 5 (since it involves the same process of solving for the rate of change as questions 3 and 4).  However, the rate of change for question 5 is 1.  

The rate of change is essentially the same as the slope of a linear equation, where it represents the ratio of a change in y to a corresponding change in x.  

In order to solve for the rate of change, choose two points from the given graph.  

Let (x₁, y₁) = (0, 200)

     (x₂, y₂) = (80, 100)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (100 - 200)/(80 - 0)

m = -100/80

Reduce to lowest terms by dividing the numerator and the denominator by 20/20:

m = -5/4  

Therefore, the rate of change is -5/4.  

Similar to what we did in question 3, choose two ordered pairs from the given table:

Let (x₁, y₁)  = (0, -1)

     (x₂, y₂) = (3, 8)  

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{8 - (-1)}{3 - 0}[/tex]

[tex]m = \frac{8 + 1 }{3}[/tex]

[tex]m = \frac{9}{3}[/tex]

m = 3

Therefore, the rate of change from the given table is 3.

The positive-sloped lines whose rate of change has the highest value will have the steepest slope.  For lines with negative slopes (downward-tilting lines), the highest absolute value for its rate of change will have the steepest negative slope.  

Hence, the linear function with the steepest slope is #4 because the value of y changes by 3 units for every unit of change in x values.    

The linear equation, y = -6x - 4, where the slope, m = -6, and the y-intercept is (0, -4).  

Technically, two points are sufficient enough to connect and create a line with. Please see the attached screenshot of the graph for y = -6x - 4.

The given linear equation is in its standard form, Ax + By = C. It is easier to graph when the equation is in its slope-intercept form, y = mx + b.

In order to transform the given standard equation to slope-intercept form, start by subtracting 3x from both sides:  

3x - 4y = 12

3x -3x - 4y = -3x + 12

-4y = -3x + 12

Divide both sides by -4 to isolate y:

[tex]\frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]

y = ¾x - 3  ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is (0, -3).

Similar to how we graphed the equation from question 7, start by plotting the y-intercept (0, -3) on the graph. Then, use the slope, m = ¾ (3 units up, 4 units run), to plot other points on the graph.  Your next point occurs at the x-intercept, (4, 0). The x-intercept is the point on the graph where it crosses the x-axis.  Connect the two points to create a line that will represent the given equation, 3x - 4y = 12.

Please see the attached screenshot of the graph for 3x - 4y = 12.  

Answer:

4

Step-by-step explanation:

Answer:she can make 4 batches of brownies

Step-by-step explanation:

since she already made a batch of brownie with 1/2 cup and she has 3/2 cups left, that means she can make 3 more

3+1=4

hope this helps

Step-by-step explanation:

Also try searching you question in brainly some of these questions are asked and answered

Answer:

The answer is D,..................

Step-by-step explanation:

D

Answer:

Step-by-step explanation:

Answer:

Jalil used 5/8 more cups of water than sugar

Step-by-step explanation:

Answer:

Tom is 43yo and Tim is 36

Tim will be 41 in 5 years.

Step-by-step explanation:

Answer:

5x-22<9<x

Step-by-step explanation:

5 times x = 5x

subtract 22 = 5x-22

less then = 5x-22<

9 more then x = 5x-22<9<x

Answer:

42 dollars

Step-by-step explanation:

2h+h+5=68

3h+5=68

3h=63 divided by 3

21*2=$42

Answer:

x=-1/2

Step-by-step explanation:

if you need a explanation tell me but I’m in Math class rn

Answer:

A

Step-by-step explanation:

Answer:

I think A

Step-by-step explanation:

Unlike tennis or badminton, only the serving team can win a point.

Answer:

I believe its c but I barely know how to play that

Answer:

The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr

Step-by-step explanation:

We are given i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.  

We first solve i = prt for p.  To accomplish this, divide both sides by rt, which results in:

 i         p

----- = -----

 rt        1

Here we substitute $14,400 for p, 0.08 for r and 30 for t.  

We get the following expression for p:

       $14,400

p = ----------------- = $6,000

       (0.08)(30)

The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr

Answer:

6000

Step-by-step explanation:

14,400= .08 x 30 x p , .08 x 30 = 2.4, so divide 14,400 by 2.4 and you get 6000

The probability that a student who does not have a brother has a sister is 53.33%.

Given that in a class of 20 students, 5 have a brother and 11 have a sister, and there are 3 students who have a brother and a sister, to determine what is the probability that a student who does not have a brother has a sister the following calculation must be performed:

Therefore, the probability that a student who does not have a brother has a sister is 53.33%.

Learn more about probability in https://brainly.com/question/13553988

Answer:

(3, 1)

Step-by-step explanation:

y = −x + 4

y = x − 2

-x + 4 = x - 2

4 = 2x - 2

6 = 2x

3 = x

y = (3) − 2

y = 1

Answer:

x = 3 and y = 1

Step-by-step explanation:

Okay,

Im not going to do the project because you draw that but, ill give an online overview of ur "project."

Answer: She should have divided by 10 to find 10% of 60 because percent in latin means per centum which means for 100 or per each 100 and dividing by 10 means that the result times 10 equals the original number, so you would need to divide by 10.

Step-by-step explanation:

Answer:

4.5 lbs

Step-by-step explanation:

just divide 11.25 by 2.5

Answer:

214.5 usd

Step-by-step explanation:

blc we will do 650 times 11 .over 100 to get the annual the multiply it by 3

HOPE HELPED!!

Answer:

Step-by-step explanation:

Answer:

(x+3)(y+2)

Step-by-step explanation:

(xy+2x)+(3y+6)

x(y+2)+3(y+2)

(x+3)(y+2)

A) The monthly percentage rate of Felix is;

B) The monthly percentage rate of Oscar is;

C) The amount that Oscar will pay more than Felix is; $0.96

A) Felix was given a card with APR of 14%.

Thus;

Monthly percentage rate = 14%/12 = 1.63%

B) Oscar was given a card with an APR of 21%. Thus;

Monthly percentage rate = 21%/12 = 1.75%

C) We are told that each of them had an average daily balance of $800 for a specific month.

Thus;

Amount paid by Felix = 800 * 1.63%

Amount paid by Felix  = $13.04

Amount paid by Oscar = 800 * 1.75%

Amount paid by Oscar = $14

Difference in Payments = $14 - $13.04 = $0.96

Thus, Oscar pays $0.96 more than Felix.

Read more about Annual Percentage rate at; https://brainly.com/question/11686424

a. felix: 14/12 = 1.167% (round to nearest hundredth = 1.17%)

b. oscar 21/12 = 1.75% (no need to round here)

c.

felix: (1.17/100) x 800 = 9.36

oscar: (1.75/100) x 800 = 14.00

14.00 - 9.36 = 4.64

oscar will pay $4.64 more than felix.

Answer:

See below

Step-by-step explanation:

1.  Addition of the second reagent when the reaction is spontaneous (It will proceed on its own with no additional stimulus).

2.  Addition or subtraction of energy (heat, light, electricity, etc) for endothermic and exothermic reactions

3.  Addition of a reaction site (catalyst)

4.  I can't think of a fourth, but would suggest that #2 be broken into individual categories:

 a.  Addition of heat,

 b.  Exposure to light,

 c.  Addition of electrons (batteries or electrical power), and

 d.  Removal of energy for exothermic reactions

Answer: Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat

35 hot dogs if she can keep up the same pace.

Step-by-step explanation: Hope I am right.