the following box plot shows the number of hours students have spent of math this week. what information can you get from this?
a. the median number of hours spent on Math was about 2.9
b. the mean number of hours spent on Math was about 3.4
c. No students spent less than 2.27 hours on Math
d. All students spent between 2.27 and 4.54 hours on math

Answer:

[tex]x^2+12x-220=0[/tex] -- Proved

[tex]x = 10\ \ \ x = -22[/tex]

Step-by-step explanation:

Given

[tex]Volume = 924cm^3[/tex]

[tex]Dimension: 4cm; (x+1)cm; (x+11)cm[/tex]

Required

Show that [tex]x^2+12x-220=0[/tex]

The volume is calculated as:

[tex]4 * (x + 1) * (x + 11) = 924[/tex]

Open the brackets

[tex](4x + 4) * (x + 11) = 924[/tex]

[tex]4x^2 + 44x + 4x + 44 = 924[/tex]

[tex]4x^2 + 48x+ 44 = 924[/tex]

Collect Like Terms

[tex]4x^2 + 48x+ 44 - 924=0[/tex]

[tex]4x^2 + 48x -880=0[/tex]

Divide through by 4

[tex]\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0[/tex]

[tex]x^2+12x-220=0[/tex]

Solving further:

Expand the expression

[tex]x^2 + 22x - 10x - 220 = 0[/tex]

Factorize:

[tex]x(x + 22) - 10(x + 22) = 0[/tex]

[tex](x - 10)(x + 22) = 0[/tex]

Split:

[tex]x - 10 = 0;\ \ \ x + 22 = 0[/tex]

[tex]x = 10\ \ \ x = -22[/tex]

Answer:

x ≤ 5

Step-by-step explanation:

This one is pretty easy

Answer:

$2.18

Tell me if I'm wrong :) Hope this help too!

Step-by-step explanation:

Answer:

Option 4: $2.18

Step-by-step explanation:

Lets first analyse our given information. We know that:

- Original Cost Per Jug: $0.80

- Mark Up cost: 150%

- Sales Tax: 9%

Answer:

Weight On Venus: 144.67 lbs

Step-by-step explanation:

Weight on Venus= (Weight on Earth/9.81m/s2) * 8.87m/s2

Answer:

2 weeks

Step-by-step explanation:

3/5 = .6 and 1/4 = .25.  0.25 can only be subtracted from .6 two times.

Answer:

u=47

Step-by-step explanation:

...................

The measure of angle U is 74 degrees.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

to determine the measure of angle U:

From the question, we have the following parameters that can be used in our computation:

△PQR ≅ △STU

If m ∠P = 62 degrees and m ∠Q = 45 degrees

The above parameters mean that

P  = S Q = T and R = U

So, we have

U = R = 180 - P - Q -- by the angles in a triangle theorem

So, we have

U = 180 - 61 - 45

   = 74

Evaluate

U = 74

Hence, the value of m ∠U is 74 degrees

Read more about angles at

brainly.com/question/7620723

#SPJ5

Step-by-step explanation:

3y+48=90

3y=90-48

3y=42

y=14 degree

12+2x+3x+90=180

5x+102=180

5x=180-102

5x=78

x=15.6 degree

Answer:

k = ±6

Step-by-step explanation:

guess your question is 4k²–144 = 0??

4k² = 144

k² = 36

k²–36 = 0

(k+6)(k–6) = 0

k+6 = 0 | k–6 = 0

k = –6, k = 6.

Alternatively; k = ±6.

Answer:

35+35=70.....180-70=110....x=110

Answer:

12.5%

Step-by-step explanation:

Answer:

whats the drop down answers

Step-by-step explanation:

Answer:

Mai travels 2.5 meters in 1 second

Priya travels 2.2 meters in 1 second

Step-by-step explanation:

Try finding how many meters they travel in ONE second) Mai and Priya were on scooters.

For Mai

Mai traveled 15 meters in 6 seconds.

Hence,

6 seconds = 15 meters

1 second = x meters

Cross Multiply

6x = 15 meters

x = 15/6

x = 2.5 meters

Hence, Mai travels 2.5 meters in 1 second

For Priya

Priya travels 22 meters in 10 seconds.

Hence,

10 seconds = 22 meters

1 second = x meters

Cross Multiply

10x = 22 meters

x = 22/10

x = 2.2 meters

Hence, Priya travels 2.2 meters in 1 second

9514 1404 393

Answer:

  False; the triangle is "right"

Step-by-step explanation:

The segments lying on lines x=1 and y=-3 make a right angle with each other. The triangle is a right triangle, not an acute triangle.

Answer:

-10

Step-by-step explanation:

the equation is in y=mx + b form so the b is the y-intercept so therefore it is -10

Answer:

area=22 peremeter=19 14/15

Step-by-step explanation:

Answer:

22 and 19 14/15

Step-by-step explanation:

Answer:

An arithmetic sequence is an infinately long set of numbers that increase by a certain amount(this amount is called the common difference) every number. for example, 1,2,3,4,5... is an arithmetic sequence with a common difference of one.

Answer:

There will be 200 pieces of candy in the big bag.

Answer:

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Put 4 in place of x

x - 3 = 4 - 3 = 1

Answer:

28

Step-by-step explanation:

Use the pythagorean theorem and solve for a:

a² + b² = c²

a² + 21² = 35²

a² + 441 = 1225

a² = 784

a = 28

So, the missing length is 28.

Answer:

n = 5 ; n = -1

Step-by-step explanation:

n - 3 = 2

When you transfer (-3) to the other side of the equation, it turns into (+3).

n = 2 + 3

Evaluate.

n = 5

n + 3 = 2

When you transfer (+3) to the other side of the equation, it turns into (-3).

n = 2 - 3

Evaluate.

n = -1

Answer:

x=5

x=1

Step-by-step explanation:

|x-3|=2

x-3=2

x-3=-2

x=5

x=1

Answer:

Answer:

It would cost $ 408.04 to travel 2727 miles

Divide total miles by miles per gallon:

2,727 / 27 = 101 gallons.

Multiply total gallons by price per gallon:

101 x 4.04 = $408.04  Round as needed.

Answer:

2.996

Step-by-step explanation:

14.98 * 0.20 = 2.996

Hope this helps!

Answer:

f(-5) = -81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -x² + 10x - 6

f(-5) is x = -5

Step 2: Evaluate

Answer:

Q||R

Answer:

Q||R

(11x-28) +(7x-8) = 180

x = 54

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Amount of tax paid every month:

Answer:

0

Step-by-step explanation:

It may say combine, but it`s subtraction soooo it`s 0.

Answer:

[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]

Step-by-step explanation:

Column Vector

Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.

It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).

The vector directed from A to B is found by subtracting its corresponding coordinates:

[tex]\overrightarrow{AB }=<2-6,7-4>[/tex]

[tex]\overrightarrow{AB }=<-4,3>[/tex]

Now we express the vector as a one-column matrix as follows:

[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]

Answer:

Domain is 0 to 50.

Step-by-step explanation:

[tex]0 \leq x \leq 50[/tex]

Answer:

8minutes per mile

Step-by-step explanation:

You ran 3 miles since 9am divide 24 by 3 to get 8 minutes