Every minute, 2 gallons of water flows from a shower. A family of 5 people showers for an average of 9 minutes per person every morning. How many gallons of water does the family use for showering every morning?

Answer:

58 degrees

Step-by-step explanation:

The other two angles are 56 and 66 degrees and you know that all the angles add up to 180 degrees.

So just subtract:

180-56-66= 58 degrees

it works because the lines are parallel in the picture.

Answer:

The answer is below

Step-by-step explanation:

Given the time taken to answer each multiple choice question as one minute, the time taken to x multiple choice question = 1 minute/question × x questions = x minutes

Given the time taken to answer each essay question as six minute, the time taken to y essay question = 6 minute/question × y questions = 6y minutes

Therefore the total time taken to complete X multiple choice question and y essay questions = the time taken to x multiple choice question + the time taken to y essay question = x + 6y

Answer:  

directly off of edmentum                                                  

Answer:

The answer is given below

Step-by-step explanation:

The mean (μ) = 21.2 minutes and the standard deviation σ = 3.5 minutes.

the​ oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M, therefore the sample size n = 45

there be a​ 10% chance of being at or​ below. From the normal distribution table, The z score corresponding to a probability of 10% (= 0.1)  is -1.28.

z = -1.28

To calculate the mean​ oil-change time, we use the formula:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }\\\\ Substituting \ values:\\-1.28=\frac{x-21.2}{\frac{3.5}{\sqrt{45} } }\\\\x-21.2=-0.6678\\\\x=-0/6678+21.2\\\\x=20.5[/tex]

Answer:

divide the interest amount by the product of the principal and time

Step-by-step explanation:

The simple interest formula is I = prt where I is the interest, p is the principal, r is the rate and t is the time (in years). Rewriting this formula so that r is the subject we get r = I / pt. Therefore the answer is divide the interest amount by the product of the principal and time.

Answer:

Christa walked faster and farther than Stephen.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you think of the y-axis is the "distance" axis (in feet for example), and the x-axis as the time axis (in minutes for example), then what you have is a velocity graph (velocity is the distance traveled divided by the time it takes to get there). If you haven't moved at all, your time is 0 (ON the y-axis) and the distance value (the y-intercept) is where you started. In other words, if no time has gone by, I haven't moved from my initial position yet. So the y-intercept of both of those equations serves as the intial distance each is from school.

In the equation y = mx + b, b is the y-intercept. The y-intercept in Christa's equation is 1300 (in feet) which means that before she leaves her house for school (no time has gone by yet), her initial distance from school is 1300 feet. Likewise, for Stephen. The y-intercept in his equation is 1000, so his initial distance from school is 1000 feet. Christa lives farther away than does Stephen.

Now for the rate they are each walking...

Rate is also (sort of the same thing as) velocity. It is represented in our equation by the m. In a "regular" slope-intercept equation, this would be the slope. Slope is the rate at which something is changing. Since our graph is a velocity graph--distance over time--our slope represents the distance each covers for every minute they walk. Christa's velocity is 100 feet per minute and Stephen's is 60 feet per minute. From this we can determine that Christa walks faster because she covers more feet per minute than does Stephen.

The equations are both negative because they are shortening their distances to the school. By this I mean that as they continue walking to school and the amount of time that goes by gets greater, the distance they are from the school gets smaller.

Hope this helps you understand what linear equations actually mean to the real world!

Answer:

12.5%

Step-by-step explanation:

Percent decrease is calculated as

[tex]\frac{decrease}{original}[/tex] × 100%

Decrease = $400 - $350 = $50 , thus

percent decrease = [tex]\frac{50}{400}[/tex] × 100% = [tex]\frac{50(100)}{400}[/tex] = 12.5%

The percent decrease on a DVD recorder that is 12.5%. The correct option is 3

A percentage is a minimum number or ratio that is measured by a fraction of 100.

let the value of which a thing is represented in percentage is "a'

let the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), therefore we will first divide the whole part in 100 parts and then we multiply it with b so that we can get b items per 100 items(that is exactly what b per cent means).

Hence, that thing in number is

(a/100)x b

Percent decrease is calculated as;

Decreased in price/original price × 100%

Decrease = $400 - $350 = $50 , thus

Therefore, percent decrease = 50/400 × 100%  

= 12.5%

Learn more about percentages;

brainly.com/question/24159063

#SPJ6

Answer:

The answer is False

Step-by-step explanation:

Answer:

FALSE ALL NEGATIVE NUMBERS NEED A NEGATIVE SIGHT(-)

Step-by-step explanation:

-1,-2,-3, PLEASE MARK BRAINLEST

Answer:

The three roots have a multiplicity of 2

Step-by-step explanation:

The zeros of the function refers to those points on the x-axis on which the curve passes through

These are the points -2,0 and 4

Now we want to determine which of these points has a multiplicity of 2?

The correct answer is that all have a multiplicity of 2 since 2 can be factored out

2(-1) , 2(0) and 2(2)

Answer:

the answer is A. none

Answer:

Step-by-step explanation:

r = 12

V = 4*pi * r^3 / 3

V = 4 * 3.14 * 12^3 /3

V = 4 * 3.14 * 1728 / 3

V = 4 * 5425.92 /3

V = 21703.68/3

V = 7234.56

None of the answers look correct.

This question is not that clear, so let me rewrite it here -

Eva sees a dolphin 3.2 meters below sea level and a bird [tex]47/10[/tex] meters above sea level. Which of the expressions represents the vertical distance between the dolphin and the bird?

Now we are given that Eva sees the dolphin at a distance 3.2 meters below sea level, respectively she sees a bird at [tex]47/10[/tex] meters above sea level. The vertical distance between the dolphin and the bird should thus be the distance dolphin is below sea level + distance of bird above sea level -

[tex]y = 3.2 + 47 / 10,\\y = 3.2 + 4.7,\\y = 7.9 meters\\-------------\\Solution = 7.9 ( meters )[/tex]

The expression that represents the vertical distance between the dolphin and bird should be 3.2 + 47 / 10.

Answer:

24x-8y

Step-by-step explanation:

8(3x-y) - distributive property

24x-8y

Answer:

24x - 8y.

Step-by-step explanation:

8(3x - y) = 8 * 3x - 8 * y = 24x - 8y

Hope this helps!

Answer:

B.

Step-by-step explanation:

First, you never want to give out your banking information to anyone, so D is incorrect. A is incorrect because a debit card withdraws money from your checking account to pay for items you purchase. C is also incorrect because you can only spend the same amount of money in your checking account.

Answer:

multiply the bottom equation by 3

Step-by-step explanation:

we multiply to make the values of x same

9x+5y=1

-3x+2y=10 after= -9x+6y=10 thus one can eliminate the x value 9x

Answer:

try and let me know is it correct or not line A-4 lineB-8

Step-by-step explanation:

i also use mathswatch

Answer:

22.50

Step-by-step explanation:

45 divided by 2 is 22.50

Answer:

Hey there!

6 hrs 45 mins =  405 mins, or 6.75 hours.

Hope this helps :)

Answer:

Fasle

Step-by-step explanation:

81 1/4s would be 81/4 which would be 20 and 1/4

Answer:

We can find the highest common factor of a number by listing down all the factors of that number. The greatest factor from that list is the highest common factor.

How to find HCF of two numbers

We can find the HCF of any numbers using three methods -:

[tex] \small \underline {\underline{\bf Common \: Factor \: Method }}[/tex]

[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]

[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]

[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]

[tex] \small \underline{\underline{\bf{ Prime \: Factorisation }}}[/tex]

[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]

[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]

[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]

[tex] \small \underline{ \underline{\bf{ Division \: Method}}}[/tex]

[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]

[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]

[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]

[tex] \rule{91mm}{3pt}[/tex]

Answer:

x=5   x=3

Step-by-step explanation:

f(x) = x^2 - 8x+ 15

Factor

What two numbers multiply to 15 and add to -8

-5*-3 = 15

-5+-3 = -8

f(x) = (x-5) (x-3)

Setting equal to 0

0= (x-5) (x-3)

Using the zero product property

x-5 =0     x-3=0

x=5   x=3

Answer:

Step-by-step explanation:

Since, sum of central angles of a circle = 360°

Therefore, sum of all central angles formed by each math class = 360°

And measure of angles formed by each class will be in the same proportion as the percentage of seniors in each class.

Geometry → 27% of 360° = 97.2°

Precalculus → 4% of 360° = 14.4°

Advanced algebra → 33% of 360° = 118.8°

Consumer math → 36% of 360° = 129.6°

Answer:

There are 360 degrees in a circle so I need to do the percentage of 360

Geometry: 27% of 360 = 97.2 °

Consumer Math: 36% of 360 = 129.6 °

Advanced Algebra: 33% of 360 = 118.8 °

Precalculus: 4% of 360 = 14.4 °  

Answer:

Tan(x) = 1/[tex]\sqrt{3}[/tex]

We know that Tan 30 = 1/[tex]\sqrt{3}[/tex]

Therefore, x = 30 degrees

Answer:

The vertex is (-1, -4)

Step-by-step explanation:

Let's find the vertex by completing the square of y= -x^2 - 2x - 5.

Isolate the first two terms inside parentheses:       y= -(x^2 + 2x) - 5

Now complete the square of the expression inside these parentheses:

y = -(x^2 + 2x + 1 - 1) - 5

and rewrite this as

y = -(x + 1)^2 + 1 - 5, or

y = -(x + 1)^2 - 4

(x + 1) tells us that the x-coordinate of the vertex, h, is -1, and the -4 term tells us that the y-coordinate, k, is -4.  

The vertex is (-1, -4)

Answer:

D. 24

Step-by-step explanation:

Let's name the diagram

Row 1: a1, a2, a3

Row 2: b1, b2, b3

Row 3: c1, c2, c3

From the diagram,

b2 and c2 have been given

All rows, columns and diagonal must sum up to 18

If b2=6 and c2=4

a2=18-(6+4)

=18-10

=8

a2=8

Assume a1=4

Diagonals a1+b3+c3=18

4+6+c3=18

10+c3=18

c3=18-10

=8

Assume a3=6

Diagonals a3+b2+c1=18

6+6+c1=18

12+c1=18

c1=18-12

=6

So b1=18-(6+4)

=18-10

=8

b1=8

b3=18-(6+8)

=18-14

=4

b3=4

Input all the numbers into the boxes

We have,

4 8 6

8 6 4

6 4 8

Corner numbers are a1,a3,c1,c3

=4,6,6,8

Sum of all the corner numbers=4+6+6+8

=24

D. 24

Answer:

(0,10)

Step-by-step explanation:

-x + 2y = 20

2y = x +20

y = 1/2x + 10

This is slope-intercept form. The y-intercept is 10.

(0,10)

Answer:

(0, 10)

Step-by-step explanation:

Can be simplified to

2y = x+20 by adding x to both sides

then divide by 2 to get to slope intercept form: y = ax+b

b is the y-intercept

y = 1/2x + 10

so the answer is 10

Answer:

sdgsdgsdgsdgsdgsd

Step-by-step explanation:

gsdgsdgsdgsdgsd

Answer:

m<C = 45

m<D = 30

Step-by-step explanation:

m<A + m<B + m<C = 180

45 + 90 + m<C = 180

m<C = 45

m<E + m<A = 60

60 + 90 + m<D = 180

m<D = 30

Answer:

D

Step-by-step explanation:

The y values change by -26 - (-10) = -16 in the interval and the x values change by 5 - 3 = 2 so the average rate of change is -16 / 2 = -8.

Answer:

D. -8

Step-by-step explanation:

Risked it all for my grades.

Answer:

The height of the roof is 25 ft.

Step-by-step explanation:

Consider the right angled triangle BCD.

Determine the measure of side BD using the Pythagoras theorem

[tex]BD^{2}=BC^{2}+CD^{2}\\\\BD=\sqrt{BC^{2}+CD^{2}}\\\\=\sqrt{10^{2}+5^{2}}\\\\=\sqrt{125}[/tex]

Compute the measure of angle x as follows:

[tex]tan\ x=\frac{BC}{CD}\\\\tan\ x=\frac{10}{5}\\\\tan\ x=2\\\\x=tan^{-1}2\\\\x=63.4[/tex]

Now consider the triangle ABD.

The hypotenuse AD is the height of the roof.

Determine the measure of side AD as follows:

[tex]cos\ x=\frac{BD}{AD}\\\\cos\ 63.4=\frac{\sqrt{125}}{AD}\\\\0.4478=\frac{\sqrt{125}}{AD}\\\\AD=\frac{\sqrt{125}}{0.4478}\\\\AD=24.967\\\\AD\approx 25[/tex]

Thus, the height of the roof is 25 ft.

Answer:

25ft :)

Step-by-step explanation:

Answer:

Line FG  secant

Line segment DH   secant

Line segment DB  tangent

Line segment AC  radius

Step-by-step explanation:

A Secant is a line that passes through the two points on a circle.It cuts the circle on two points.

Line FG is a secant as it passes through two pints.

Line segment DH is also a  secant as it passes through two points.

A tangent is a line that passes through only one point on a circle. It is outside the circle. It is perpendicular to the radius at the point where it touches the circle.

Line segment DB is  a  tangent as it passes through only one point.

Radius is the line segment joining the center of the circle and any point on the circumference of the circle. It is half of the diameter.

Line segment AC is  a radius as it joins the center of the circle with the circumference.

Answer:

1) FG -- Secant

2) DB -- Tangent

3) DH -- Secant

4) AC -- Radius

Step-by-step explanation: