Mr Johnson has 4 boxes of pencils with 7 pencils
in each box. If he gives each of his 26 students a
pencil, how many pencils will he have left?

Answer:

║ x - 231 ║ ≤ 459

Step-by-step explanation:

Since we have 228 ft below sea level, this is x' = -228 ft. Also,  we have 690 ft above sea level, this is x" = 690 ft.

Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.

To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.

So, ideal value = [690 + (-228)]/2 = 462/2 = 231.

We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 =  [690 + 228)]/2 = 918/2 = 459.

Subtracting 231 from each value of the inequality we have

-228 - 231 ≤ x - 231 ≤ 690 - 231

-459 ≤ x - 231 ≤ 459

Since we have in magnitude the values on the left and right side of the inequality,

So ║ x - 231 ║ ≤ 459

9514 1404 393

Answer:

  4x +10y

Step-by-step explanation:

Indicate the subtraction, use the distributive property, collect terms.

  (x +6y) -(-3x -4y) = x +6y +3x +4y

  = (x +3x) +(6y +4y)

  = 4x +10y

Answer:

2y - 4x

Step-by-step explanation:

equation: x + 6y - 3x - 4y

combine like terms: x -3x + 6y - 4y

add/subtract: -4x + 2y

switch: 2y - 4x

I hope this helped, please mark Brainliest, thank you so much!!

Answer:

The graph is a straight line.

The line does not pass through the origin.

The y-intercept of the line is 2.

Step-by-step explanation:

I know that it's a straight line because the equation is written in this format; y=mx+b (this is a linear equation meaning that it must be a straight line).  In that equation, m is our slope and b is our y-intercept with this information. I know that the y-intercept is 2 since this equation is this y= –12x+2 (the 2 replaced the b which is our y-intercept). The line does not pass through the origin because its y-intercept is 2 which means it's impossible for the line to pass through the origin. (I hope this makes sense)

Hope this helped you

Step-by-step explanation:

the third sequence(0,2,4,6) is not a geometrical sequence

this may help you(:

Answer:

0, 2, 4, 6, …  because the following sequence is arithmetic not geometric

Answer:

B and C, Benjamin and Cynthia.

Step-by-step explanation:

Next part (Cynthia's score) is 0.2

Answer:

Here's all the answers to the assignment! This is here to help future people in order to get a good grade on e2020! :)

Use the information on the right to determine which students will have positive z-scores.

Answer(s):

B) Benjamin, who completed the exam in 86 minutes

C) Cynthia, who completed the exam in 72 minutes

Cynthia’s z-score is

Answer) 0.2

A newborn who weighs 2,500 g or less has a low birth weight. Use the information on the right to find the z-score of a 2,500 g baby.

Answer) -2

What is the z-score of a newborn who weighs 4,000 g?

Answer) 1

What weight would give a newborn a z-score of −0.75?

Answer) 3125

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of ? = 3,500 g and a standard deviation of ? = 500 g.

According to the empirical rule, 68% of all newborn babies in the United States weigh between

Answer(s) 3000 g and 4000 g

95% of all newborn babies in the United States weigh between

Answer(s) 2500 g and 4500 g.

99.7% of all newborn babies in the United States weigh between

Answer(s) 2000 g and 5000 g.

According to the empirical rule, 68% of 7-year-old children are between  

Answer(s) 47  inches and  51  inches tall.

95% of 7-year-old children are between  

Answer(s) 45  inches and  53  inches tall.

99.7% of 7-year-old children are between  

Answer(s) 43 inches and 55  inches tall.

Use the information given in the table on the right to complete each of the following statements.

Brenda is 50 inches tall. Her z-score is

Answer)  0.5

Zach has a z-score of –1.5. His height is  

Answer) 46  inches.  

Approximately 16 % of 7-year-old children are taller than 51 inches.

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of  μ = 3,500 g and a standard deviation of  σ = 500 g.

What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

(Answers)

The z-score for 2,500 g is –2.

According to the empirical rule, 95% of babies have a birth weight of between 2,500 g and 4,500 g.

5% of babies have a birth weight of less than 2,500 g or greater than 4,500 g.

Normal distributions are symmetric, so 2.5% of babies weigh less than 2,500g.

Answer:

y=-2/3x-6

Step-by-step explanation:

y=mx+b

m=-2/3

y-y=m(x-x1)

y-(-1)=-2/3(x-(-6))

y+1=-2/3x-4

-1 -1

y=-2/3x-5

Answer:

[tex]y=-\frac{2}{3}x -5[/tex]

Step-by-step explanation:

Slope-intercept form:

[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]

When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:

[tex]y=-\frac{2}{3} x+b[/tex]

Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:

[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]

Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :

[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]

Use inverse operations to isolate the variable. Subtract 4 from both sides:

[tex]-1-4=4-4+b\\\\-5=b[/tex]

The y-intercept is -5. Insert:

[tex]y=-\frac{2}{3}x -5[/tex]

:Done

Parallel slope = 2

This is because the original line has slope 2. Parallel lines have equal slopes.

--------------------------

Perpendicular slope = -1/2

The original slope 2 or 2/1 turns into -1/2 after flipping the fraction and the sign. Note the original slope and perpendicular slope multiply to -1. This is true for any pair of perpendicular lines where neither line is vertical.

Answer:

the slope of  the parallel line is 2x

the slope of line perpendicular is -1/2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because a is 139cm and child is 139 cm not 830000 or not 1.48

Answer:

28.56

Step-by-step explanation:

Feel free to give brainliest.

Have a great day!

Answer:

the unit price needed to calculate is $0.8 per mile

Step-by-step explanation:

Here is the complete question:

At a​ little-known vacation​ spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs $11.20 you want to find the cost for a 49 mile taxi ride . What unit price do you​ need?

Step-by-step explanation:

To determine the unit price needed to calculate the cost for a 49 mile taxi ride, we will determine the cost of the ride per mile. To do this, let the cost per mile be $x

If it cost $11.20 for a 14 mile ride

Then, it will cost $x for a 1 mile ride

∴ x = (1 × 11.20) / 14 = 0.8

x = 0.8

The taxi ride costs $0.8 per mile.

Hence, the unit price needed to calculate is $0.8 per mile.

If desired,

To find the cost for a 49 mile taxi ride, multiply the distance traveled by the unit price,

Distance = 49 mile

Unit price = $0.8 per mile

∴ Cost for a 49 mile taxi ride = 49 × $0.8

Cost for a 49 mile taxi ride = $39.2

Hence, the cost for a 49 mile taxi ride is $39.2

Answer:

(f+g)(2)=5

Step-by-step explanation:

Subsitute 2 in for x in both functions. Then add the answers of the functions together.

Answer:

4.5 units²

Step-by-step explanation:

(b × h) (.5)

(3 × 3) (.5)

Answer:

Step-by-step explanation:

since this has something to do with chance im guessing maybe percentage of winnign this

so

4/14 x 100 so 28.57% probability of winning this game i believe

Exact answer as a fraction = 1/91

Approximate answer in decimal form = 0.010989

Approximate answer in percent form = 1.0989%

=====================================================

Explanation:

Let's think of the problem another way.

Let's say that we have 14 ping pong balls labeled 1 through 14. Furthermore, lets set up the first four balls {1,2,3,4} to be labeled with a star sticker. The rest don't have a star. The star stickers indicate a winning ball. All of the ping pong balls are then put into a bag where we will randomly pull out 3 of them. Replacements will not be made (ie the ball won't be put back). The goal is to get 3 star stickers in a row.

One possible combination is {1,2,7} which is close but not a winner since that 7 is there. Another possible combination is {5,8,12} which is not even close to a winner (since we didn't get 1,2,3 or 4).

---------

We have two questions we need to answer:

We'll use the nCr combination formula

[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]

We use the combination formula, instead of the permutation formula, because order does not matter. Something like {1,2,7} is the same as {7,1,2}.

If you plug in n = 14 and r = 3, you should find that 14 C 3 = 364.

I'll list the steps in the attached image below (to save space here).

This means there are 364 different ways to play the game. In other words, there are 364 ways to pull out three ping pong balls.

---------

That wraps up question 1. Now onto question 2.

We have 4 winning balls and 3 slots to fill, so we will plug n = 4 and r = 3 into the combination formula. I'll skip the steps because they're fairly similar to earlier. You could also use Pascal's Triangle to help. Whichever method you use, you should find that 4 C 3 = 4.

note: we have 4 winning balls and 3 slots to fill, so you can think of it like "how many ways are there to not choose a ball?" and that answer would be 4.

So this means there are 4 ways to win the game.

------------------------------------

In summary so far, we found

This means the probability of winning is 4/364 = 1/91

Use your calculator to find that 1/91 = 0.010989 approximately which converts over to the approximate percentage of 1.0989%

Answer: ab =6

have:

[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

Answer:

= 6.65605095

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

The screenshot is the correct answer

Step-by-step explanation:

Answer:

In what time frame. It asks how often she does both but does that mean in a week or another span of time?

Step-by-step explanation:

Answer:

a. sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction  Equals opposite

The length opposite the angle is the vertical distance from the x-axis on the graph.

Step-by-step explanation:

sin (π/3) = opposite/hypotenuse = opposite/1; The length opposite the angle is the vertical distance from the x-axis on the graph.

Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.

The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).

Also, the terminal side intersect the circle at (x, y). Thus;

sin (π/3) = opposite/hypotenuse = opposite/1

Thus;

sin (π/3) = opposite

Also, the length opposite the angle is the vertical distance from the x-axis on the graph.

Read more about Unit circle at; https://brainly.com/question/4637991

Seeing that both triangles are side by side and share a side, we know that that side of both triangles is congruent.

Then when you look at the angles, you will see that one on each triangle has one curved line. This one curved line shows that these angles are congruent.

There is then the two curved lines you can find on both triangles as well. This shows that both those angles are congruent.

With this information, you should be able to tell that two angles of the triangles are congruent, and one side of both triangles are congruent, with the order that these are shown on the triangles being an angle, then a side, then another angle, the answer would be ASA, or angle, side angle.

Answer:

Step-by-step explanation:

Step one:

given data

Initial account balance=  $7200

we are told that the decrease was by 24.5%

Step two:

1. How much is this decrease in dollars?

let us solve for 24.5% of   $7200

=24.5/100*7200

=0.245*7200

=1764

the decrease is $1764

2. How much money was in her account at the end of last year?

the final account balance is

=7200-1764

=$5436

Answer:

Step-by-step explanation:

Part A: 3/4 divided by 1/4= 3/4 * 4/1 = 3, Jennifer walks 3 miles per hour.

Part B: 1/8 divided by 1/12= 1/8 * 12/1 = 1.5 or 1 and 1/2 miles per hour

For Part C I dont know, Sorry guys

Hi

For a multiplication , law  sign state : if the two terms of multiplication are of the same sign, result is  positive.  Otherwise, it's negative

here  9 is  positive, and  -0.5  negative.  The two terms have  contrary signs, then the result will be  negative.  

Answer: Y=2x+1

Step-by-step explanation:Idk the second answer but I know the first one

Answers:

1. B. 4.74

2. D. 3

3. B. 8.7

4. C. 6

5. B. 1.5

6. C. 123

7. D. 2.4/.03=N

8. B. 7.11/1.5=N

9. The quotient is 25.5

10. 320.04 divided by 12.6 leads to a quotient of 25.4.

Explanation:

The calculator never lies. Oh, and also, you can tell the answer to seven and eight by where the decimal points are located.

Responder:

2/3; 30 €

Explicación paso a paso:

Fracción gastada en ropa = 2/8

Fracción gastada en dulces = 1/12

Fracción restante:

1 - (Fracción gastada en ropa + fracción gastada en dulces)

1 - (2/8 + 1/12)

L. C. M de 8 y 12 = 24

1 - (6 + 2) / 24

1 - 8/24

1 - 1/3

= (3 - 1) / 3

= 2/3

Si la paga era de 45;

Cantidad restante: 2/3 de 45

= 90/3

= 30 €

Answer:

gfgfgfgfgfg

Step-by-step explanation:

Answer:

X= -4

Step-by-step explanation:

Answer:

<1=39 degrees

<2=141 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps:)

plz mark as brainliest

Answer:

x-38+x+64=180(supplementry angle)

2x+26=180

2x=180-26

2x=154

x=154÷2

x=77

Again,1st angle

x-38

77-38

39

2nd angle,

x+64

77+64

141