Mathematics High School

The simplest form of square root of eighty can be written as a times square root of b, where a

Answers

Answer 1
sqrt(80 ) = sqrt (16 * 5) = 4 sqrt(5) 
a = 4
b = 5 I'm guessing.

Related Questions

there were 13,426 eligible voters for a certain election. On election day 8,206 people cast their vote. What was the percent of voter turn-out?

Answers

To find a percentage of a whole you must divide the number people in the desired set (people that voted in this case) by the total number of the population set (eligible voters in this question.

so 
[tex] \frac{8206}{13426} = 0.611202...[/tex]

multiply the decimal by 100 to get a percentage of about 61.12% voter turnout

Final answer:

The percent of voter turnout in this election was 61.1%.

Explanation:

Voter turnout refers to the percentage of eligible voters who cast a ballot in an election.

To calculate the percent of voter turn-out, you need to divide the number of people who cast their vote by the total number of eligible voters, then multiply by 100 to get the percentage.

Number of people who cast their vote: 8,206

Total number of eligible voters: 13,426

To calculate the percent of voter turnout we use the following formula:

Divide the number of people who voted by the number of eligible voters.

Multiply the result by 100 to get a percentage.

= (8,206 / 13,426) × 100

= 0.611 × 100

= 61.1%

Therefore, the percent of voter turnout in this election was 61.1%.

Please help
1.
(05.08 MC)
Given the equation `1/(x-1)+2/x=x/(x-1)`



Part A: What values of x that would make the equation no solution? Why?

Part B: What is the solution of the equation. Show all of your steps.

(10 points)




2.
(05.09 MC)
Max and Maggie have to clean the house. It takes Max 10 hours to clean the house, while Maggie can complete the task in 6 hours. How long will it take for them to work together? Explain each step in solving this equation. (10 points)

Answers

Part A)
we have that
1/(x-1)+2/x=x/(x-1) 
we know that
for x=1 and x=0 the equation is undefined because the denominator can not be zero

Part B)
1/(x-1)+2/x=x/(x-1) ---------> [x+2*(x-1)]/[x*(x-1)]=x/(x-1) 
 the term (x-1) in the denominator is simplified
[x+2*(x-1)]/x=x
x+2x-2=x²--------------> x²-3x+2=0

using a graph tool---------> I solve the quadratic equation
see the attache figure
the solution are
x1=1
x2=2

Part C)
we Know that
Max-----------------> takes 10 hours to clean the house
we calculate how much clean in an hour
if takes 10 hour------------> 100%
   1 hour----------------------X
X=100/10--------> X=10%

Maggie-------------> takes 6 hours to clean the house
we calculate how much clean in an hour
if takes 6 hour------------> 100%
   1 hour----------------------X
X=100/6--------> X=16.67%


we add both percentages
(10+16.67)=26.67 %
if both takes 1 hour----------> 26.67 %
 X----------------------------------> 100%
X=100/26.67----------> X=3.75 hours---------> 3 hours+45 minutes

the answer part C) is 3.75 hours  (3 hours+45 minutes)







Find the percent change from the first value to the second. 36; 63

Answers

The percent change from 36 to 63 is calculated using the formula: [(New value - Original value) / Original value] x 100. The percent change in this case is 75%.

To find the percent change from the first value to the second, use the following formula:

Percentage change = [(New value - Original value) ÷ Original value] × 100
In this case, the original value is 36 and the new value is 63. So, the change in value is 63 - 36 = 27.

Next, divide the change by the original value: 27 ÷ 36 = 0.75.

To convert this to a percentage, multiply by 100: 0.75 × 100 = 75%.

Therefore, the percent change from 36 to 63 is 75%.

What is the quotient

Answers

What you must do for this case is to follow the following steps.
 1) Rewrite the expression completely.
 2) make a double c.
 3) Factor each quadratic expression correctly.
 4) cancel similar terms.
 Answer:
 2n
 See attached images.

WZ←→− is tangent to circle O at point B.

What is the measure of ∠OBZ?




80º

90º

160º

180º

Answers

The answer to this is 90°

WZ is tangent to circle O at point B. The measure of [tex]\angle OBZ[/tex] is [tex]90^{\circ}[/tex].

Given,

line wz is tangent to circle O at point B.

We have to find out the measure of [tex]\angle OBZ[/tex].

What is a tangent?

A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of Tangency.  

The tangent to a circle is perpendicular to the radius at the point of tangency.

Here in circle O, WZ is the tangent which touches the circle at point B,

so B is the point of tangency and the [tex]\angle OBZ[/tex] is [tex]90^{\circ}[/tex].

Hence the correct option is B. [tex]90^{\circ}[/tex]

For more details on Tangent of circle follow the link:

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Here are four decimal numbers: 0.98, 0.3, 0.26, 0.627 order from smallest to largest.

Answers

Hi Katilyn128, 

0,26 < 0,3 < 0,627 < 0,98

Make a box-and-whisker plot for the data. what is the median value? 56 32 48 52 51 53 48 38 35 42 40 46 54 50

Answers

32, 35, 38, 40, 42, 46, 48, 48, 50, 51, 52, 53, 54, 56

The median value is 48.

To find the median you put all the numbers in order. If there is an odd number of numbers it is the center number. If there are an even amount of numbers it is the mean I’d the two central numbers. In this case the two central numbers were the same. So the median is 48.

Answer:

Median = 48.

Step-by-step explanation:

Given  : 56 32 48 52 51 53 48 38 35 42 40 46 54 50.

To find :  what is the median value.

Solution : We have given 56 32 48 52 51 53 48 38 35 42 40 46 54 50.

Step (1) : Arrange in ascending order

32 , 35 , 38 ,40 , 42 , 46 , 48, 48 ,, 50 ,51, 52 ,53 ,54 , 56.

Total numbers =  14 ,

Formula of median for even numbers : [tex](\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th}  \\Mean\ of\ (\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th}\ term\ is\ the\ median[/tex].

Here , n = 14

Step (2):  [tex](\frac{14}{2})^{th} ,(\frac{14}{2}+1)^{th}[/tex]

[tex](7^{th} ,(8)^{th}[/tex] terms are 48 , 48

Step (3) :Mean of  [tex](7^{th} ,(8)^{th}[/tex] =  [tex](\frac{48+48}{2})[/tex] .

Median = 48.

Therefore, Median = 48.

A merchant uses the rule: selling price equals cost + 10% of cost. This is a function. Why?

Answers

Let
x-------------> cost
y------------> selling price

we know that
y=x+0.10x-----------> y=1.10x

Is a function because, is a relation or correspondence between two magnitudes,x and y, so that each value of x corresponds to a single value of y.

Answer:

y=x+0.10

Step-by-step explanation:

Write a proportion to find how many points xx a student needs to score on a test worth 80 points to get a test score of 80%.

Answers

xx/80 = 80/100 . . . . . . . . . your proportion

Answer:cross multiply to solve

100x = 50*78

x = 50*78/100

x = 39 points needed to score a 78%

Step-by-step explanation:hope this helps:D

helpppppppppppppppppppp

Answers

Answer:
either x = 5 or x = -1 (second option)

Explanation:
We are asked to use the u substitution. This means that we will assume that:
u = x - 3

Substitute in the given expression:
u^2 + 2u - 8 = 0
(u-2)(u+4) = 0
either u = 2
or u = -4

Now, we have:
u = x- 3
at u = 2: 
x - 3 = 2
x = 2 + 3 = 5

at u = -4:
x - 3 = -4
x = -4 + 3 = -1

Hope this helps :)
(x-3) ^ 2 + 2 (x-3) -8 = 0
 Using substitution we have:
 u = x-3
 We rewrite:
 (u) ^ 2 + 2 (u) -8 = 0
 We are looking for roots:
 u1 = 2
 u2 = -4
 We return the change:
 u1 = 2 = x-3
 x1 = 3 + 2 = 5
 u2 = -4 = x-3
 x2 = -4 + 3 = -1
 Answer:
 x1 = 5
 x2 = -1
 (option2)

An aquarium is 18 in. high, 12 in. wide, and 24 in. long. How much water can the aquarium hold? (V = lwh)

Answers

5182 in^2 i think let me know if it helps

The parent secant function is shifted 2 units down, and its period is changed to pi. Which of the following is the graph of the transformed function?


Thank you!

Answers

The parent secant function is sec(x). The period of parent secant function in 2π.

Two transformations are applied to this function.

1st Transformation:
Function is shifted down by 2 units. The resultant function will be:

sec(x) - 2

2nd Transformation: 
The period of function is changed to π. The resultant function after both transformations will be:

sec(2x) - 2

The graph of transformed function over 1 period is attached below.

Let f(x)=3x and g(x)=x^2+5. Perform function operation g(x)/f(x). State the domain.

Answers

we have that

f(x)=3x
g(x)=x²+5
g(x)/f(x)=[x²+5]/[3x]

that new function will exist for all real numbers except the value of zero, value for which it becomes indefinite

the domain is the interval (-∞,0) U (0,∞)

using a graph tool
see the attached figure

Isaac is on the 4th floor of a building. If he rides an elevator up 7 floors, what floor will he be on?

What integer represents the floor Isaac is starting on?
What integer represents how many floors the elevator will rise?
What floor will the elevator stop at?

Answers

An integer is a whole number.

1) if Isaac is on the 4th floor and goes up 7, that is 4 + 7= 11. So he is on the 11th floor.

2) the integer representing the floor he is starting on is 4 because that is the whole number associated with "4th."

3) the integer representing how many floors he will rise is 7.

4) the elevator will stop at 11.

Hope this helps! :)

Answer:

1. 4

2. 7

3. 11

Step-by-step explanation:

Just did the assignment.

PLS HELP ME ANSWER THIS ASAP , I WILL GIVE EXTRA POINTS AND BRAINIEST.

Answers

a-5.1=1.7
+5.1 on both sides
a=6.8

-31=z+(-17)
+17 on both sides.
-14 = z
a - 5.1 = 1.7
a = 1.7 + 5.1
a = 6.8

-31 = z + (-17)
-31 = z - 17
- 31 + 17 = z
z = -14

A car is traveling at a speed of 44 feet per second. What is the car’s speed in miles per hour? How many miles will the car travel in 4 hours? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers

Answers

3600 seconds per hour

44 * 3600 = 158400 feet per hour

158400 / 5280 = 30 miles per hour

30 * 4 = 120 miles

Car travels at speed of 44 feet per second. Converted to miles per hour, it's 30 mph. In 4 hours, it travels 120 miles, using the conversion factor 1 mile = 5280 feet.

To find the car's speed in miles per hour, you can use the conversion factor:

1 mile = 5280 feet

So, first, we need to convert the car's speed from feet per second to miles per hour.

Find out how many feet the car travels in an hour, and then we'll convert that to miles:

1 hour = 60 minutes

1 minute = 60 seconds

So, in 1 hour, there are 60 minutes × 60 seconds = 3600 seconds.

Now, if the car is traveling at a speed of 44 feet per second, in 1 hour, it would travel:

44 feet/second × 3600 seconds/hour = 158,400 feet/hour

Now, convert this to miles:

158,400 feet/hour / 5280 feet/mile = 30 miles/hour

So, the car's speed is 30 miles per hour.

To find out how many miles the car will travel in 4 hours at this speed:

4 hours × 30 miles/hour = 120 miles

The car will travel 120 miles in 4 hours.

Therefore, speed of the car is 30 miles/hour and it travels 120 miles in 4 hours.

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Given △ABC where A(2, 3), B(5, 8), C(8, 3), RS is the midsegment parallel to AC, ST is the midsegment parallel to AB, and RT is the midsegment parallel to BC, determine if the statements are true or false.

Select True or False for each statemen

Answers

Since RS is a midsegment parallel to AC, that means R is the midpoint of AB and S is the midpoint of BC.  The midpoint formula is:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex].  Using the coordinates of A and B, we have:
[tex]R=(\frac{5+2}{2},\frac{8+3}{2}) \\R=(\frac{7}{2},\frac{11}{2}) \\R=(3.5, 5.5)[/tex].  Similarly, S is the midpoint of BC:
[tex]S=(\frac{5+8}{2},\frac{8+3}{2}) \\S=(\frac{13}{2},\frac{11}{2}) \\S=(6.5, 5.5)[/tex].
Since ST is a midsegment parallel to AB, then T must be a midpoint of AC:
[tex]T=(\frac{2+8}{2},\frac{3+3}{2}) \\T=(\frac{10}{2},\frac{6}{2}) \\T=(5,3)[/tex].
Now that we have the coordinates of each point we can find the length of each segment using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For ST:
[tex]d=\sqrt{(6.5-5)^2+(5.5-3)^2} \\=\sqrt{(1.5)^2+(2.5)^2} \\=\sqrt{2.25+6.25 \\=\sqrt{8.5}=2.9 \neq 4[/tex]
For RT:
[tex]d=\sqrt{(3.5-5)^2+(5.5-3)^2} \\=\sqrt{(-1.5)^2+(2.5)^2} \\=\sqrt{2.25+6.25} \\=\sqrt{8.5}=2.9 \neq 5[/tex]
For RS:
[tex]d=\sqrt{(3.5-6.5)^2+(5.5-5.5)^2} \\=\sqrt{(-3)^2+(0)^2} \\=\sqrt{9+0}=\sqrt{9}=3[/tex]

Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the total length of all of the yarn that she ends up cutting, y? Is the graph of the equation continuous or discrete?

Answers

7.75/4 = x
It is discrete...
Hi!

The answer would be: D). y=4x+7.75; continuous. Let me know if this is right!

Emily added 5 grams of water into 20 grams of 50% salt solution.
She made ___ grams of ___% salt solution.

Answers

Answers:
She made ___25___ grams of ___40___% salt solution

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

The given info "20 grams of 50% salt solution" tells us that we have 10 grams of pure salt
Since 50% of 20 = 0.50*20 = 10
Put another way, we have 10 grams of pure salt out of 20 total so 10/20 = 0.50 = 50% salt solution

The 20 grams of solution updates to 25 grams of solution when we add the 5 grams of water
We don't add any salt, assuming this water is fresh water

So we still have 10 grams of pure salt out of 25 grams now
10/25 = 2/5 = 0.40 = 40% is the new salt concentration

What are the solutions to the equation?

5w^2+10w=40

Enter your answers in the boxes.

w =
and

Answers

5w^2 + 10w = 40
5w^2 + 10w - 40 = 0
Divide by 5 through ...
w^2 + 2w - 8 = 0
(w+4)(w-2) = 0
w = -4 or w = 2

Answer:

w= -4 and 2

Step-by-step explanation:

it's better to put it exactly how i wrote it to ensure you'll get it right ( -4 goes first then 2).

Find the circumference of the circle. Use pi = 3.14. A. 3 m B. 18.84 m C. 6 m D. 28.26 m

Answers

The first thing you should do for this case is to know the definition of the perimeter of the circle.
 The perimeter of the circle is:
 C = 2 * pi * r
 Where,
 r: radius of the circle.
 Substituting we have:
 C = 2 * (3.14) * (r).
 Another alternative way is:
 C = 2 * pi * (d / 2)
 rewriting:
 C = pi * d
 Substituting we have:
 C = (3.14) * d
 Where d is the diameter of the circle.
 Note: to complete the answer substitute the radius or the diameter of the circle in the given equations.
 Answer:
 C = (3.14) * d
 C = 2 * (3.14) * (r).

The circumference of the circle.

A. r = 3 m, C = 18.84 m

B. r = 18.84 m, C = 118,315 m

C. r = 6 m, C = 37.68 m

D. r = 28.26 m, C = 177,473 m

Further explanation

Circles are two-dimensional builds which are sets of equidistant points at a point called the center point

The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle

There are terms - terms commonly used in circles:

1. The center point 2. Radius 3. Arc 4. Circumference 5. Segment 6. Chord 7. Annulus 8. Diameter 9. Disc 10. Lens

Whereas circumference formula

C = 2. π. r

π = 3.14

r = radius

In the question is known radius as follows:

A. r = 3 m

then

C = 2.3.14. 3

C = 18.84 m

B. r = 18.84 m

C = 2.3.14. 18.84

C = 118,315 m

C. r = 6 m

C = 2.3.14. 6

C = 37.68 m

D. r = 28.26 m

C = 2.3.14. 28.26

C = 177,473 m

Learn more

The formula of the circumference

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the circumference of a circle with an area of 1,134.11 square meters

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Keywords : the circumference

, circle, center point

The total area of the rectangular prism shown is 30 sq. ft. 50 sq. ft. 62 sq. ft.

Answers

The Surface area of rectangular prism is given by:

[tex] S.A = 2(wl + hl+ hw) [/tex]

where ,

w=width=2 ft

h=height=5 ft

l=length.=3 ft

Plugging these values in the formula,

[tex] S.A = 2(2*3 + 3*5+ 5*2) [/tex]

Answer : Surface Area =62 square feet.

Raina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Raina $4.40 per pound, and type B coffee costs $5.80 per pound. This month, Raina made 171 pounds of the blend, for a total cost of $856.00 . How many pounds of type A coffee did she use?

Answers

i just tried to solve this everyway i know possible when you get the answer lmk please.

Jaylyn rode her bicycle in a bike-a-thon she wrote 33.48 miles in 2.7 hours if she rode at the same speed what was her speed in miles per hours

Answers

If she rode at the same speed it means the speed was same all the time. THis allows us to calculate average speed.

Average speed is defined by a formula:
[tex]speed = \frac{distance}{time} [/tex]

We have:
distance = 33.48 miles
time = 2.7 hours
speed = ?
[tex]speed = \frac{33.48}{2.7} \\ speed = 12.4 mph[/tex]

To solve this problem you must apply the formula for calculate the speed, which is:
 
 V=d/t
 
 V is the speed.
 d is the distance (d=33.48 miles).
 t is the time (t=2.7 hours).
 
 Then, when you substitute this values into the formula for calculate the speed, you obtain:
 
 V=d/t
 V=33.48 miles/2.7 hours
 
 Therefore, the result is:
 
 V=12.40 miles/hour
 
 What was her speed in miles per hours?
 
 The answer is: 12.40 miles/hour

​ Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of ∠A ? Enter your answer in the box.

Answers

Subtract 43 from 180 as the sum of a triangle adds up to 180 degrees.

180 - 43 = 137

:)

Answer: The answer is 137°.

Step-by-step explanation: Given that the quadrilateral ABCD is inscribed in a circle, where measure of angle C is 43°. We are to find the measure of ∠A.

Since the quadrilateral ABCD is inscribed in a circle, so it will be a cyclic quadrilateral. Also, the sum of opposite angles of a cyclic quadrilateral is 180°.

Therefore, we have

[tex]\angle A+\angle C=180^\circ\\\\\Rightarrow \angle A+43^\circ=180^\circ\\\\\Rightarrow \angle A=180^\circ-43^\circ\\\\\Rightarrow \angle A=137^\circ.[/tex]

Thus, the required answer is 137°.

Which inequality represents all possible solutions of -7n < -14?

Answers

N > 2
============================================================

To ensure that you do not have a total consumption budget, which two categories should be added to your budget

Answers

If these were the missing choices:
A. savings and checking 
B. savings and miscellaneous 
C. savings and vacation 
D. vacation and miscellaneous

My answer would be: B. savings and miscellaneous 

Total consumption budget is defined as a budget where every centavo is allocated to a planned need like shelter, food, water, etc. There is no residual amount in this budget because the net balance is 0. Thus, for a budget not to become a total consumption budget, there must be some left over amount for discretionary spending like savings and other miscellaneous expenses. 

Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1? 6f – 1 evaluated at f = 9 is 53. 2f + 4f + 2 – 3 evaluated at f = 9 is also 53. 6f – 1 evaluated at f = 3 is 17. what is 2f + 4f + 2 – 3 evaluated at f = 3?

Answers

we have that

the expression 2f + 4f + 2 – 3-------> we can group it   (2f+4f)+(2-3)
(2f+4f)+(2-3)=(6f-1)
therefore
the expression [2f + 4f + 2 – 3] is equivalent to [6f-1]

if the expression [6f-1] for f=3 is 17
then
the expression [2f + 4f + 2 – 3] for f=3 is also 17

let's check it
[2*3 + 4*3 + 2 – 3]--------> [6+12+2-3]=[20-3]=17------> is ok

Answer: 17

Step-by-step explanation:

Helppppppp!!!!!!!!!!!!!!!!!!

Answers

The two triangles that make up the parallelogram are congruent, which means their corresponding angles are congruent. The opposite angles are both 115 degrees and angle 1 is equal to 50 degrees, as they are corresponding angles.
Interior angles of triangles add to equal 180 degrees, so you can set up an equation to find m<2:

180 = 115 + 50 + x
180 = 165 + x
15 = x

Answer:
The measure of angle 2 is 15 degrees.

What does it mean if a statistic is​ resistant? choose the correct answer below.
a. extreme values​ (very large or​ small) relative to the data do not affect its value substantially.
b. changing particular data values affects its value substantially.
c. an estimate of its value is extremely close to its actual value.
d. extreme values​ (very large or​ small) relative to the data affect its value substantially?

Answers

When we say a statistic is resistant, we mean the extreme values do not affect the statistic to a large extent or to an extent which makes a major difference. Mean and median are example of such statistics. By changing the extreme values we do not see a substantial difference in the value of mean and median for the data set.

Consider a sample: 1,2,3,4,4,5,6,7,8
The median for this data set is 4.
If we change the extreme values to get this sample:  -5,2,3,4,4,5,6,7,100
The median will still be the same i.e. 4. This is what is meant by a resistant statistic.

So option a is the correct ans. 
Final answer:

A statistic is said to be resistant if it isn't significantly affected by outliers or extreme values in the data. It remains relatively stable when extreme values are added or removed from the dataset.

Explanation:

In statistics, when a statistic is described as resistant, it is typically referring to its ability not to be affected by outliers or extreme values (very large or small) in a dataset. In other words, a resistant statistic is relatively stable and does not change dramatically if an extreme value is added to, or removed from, the dataset. So, the correct answer is: a. extreme values (very large or small) relative to the data do not affect its value substantially.

Learn more about Resistant Statistics here:

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