Which represents a unit rate?

Answers

Answer 1

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.


Related Questions

find the radius of a circle for which an arc 6 cm long subtends an angle of 1/3 radians at the center?
plz some one can help to solve the question??​

Answers

Step-by-step explanation:

Eueydhhdgdgdbdbddbdbhd

Answer:

Hello,

[tex]R=\dfrac{18}{\pi}\ (cm)[/tex]

Step-by-step explanation:

[tex]Formula: \ L=\theta*R\\[/tex]

[tex]R=\dfrac{6}{\dfrac{\pi}{3} } =\dfrac{6*3}{\pi} =\dfrac{18}{\pi}\ (cm)[/tex]

cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto PN

Answers

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=[tex]\frac{1}{2}[/tex]BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=[tex]\frac{1}{2}[/tex]BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = [tex]\frac{1}{2}[/tex]BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

lvan earned $8 each time he walks his neighbor's dog. he already walked the dog 5 times.
How many more times does her need to walk the dog to earn enough money to buy a game that costs $88
__? more times

Answers

Answer: 6 more times


Explanation:
Start by finding out that 8x5=40 since he already walked the dog 5x for 8$each

Then you subtract that 40 from 88 and end up with 48

Then you divide that 48 by 8 since that’s the amount of money he makes per walk and end up with

6 walks

in a 41-49 right triangle, the hypotenuse is 28.83 centimeters. if cos 41= 0.7547, find the length of the side opposite the 49 angle. Estimate your answer to three decimal places

Answers

Answer:

21.758

Step-by-step explanation:

If you draw the triangle out, you find that cos 41 = x/28.83, when x is equal to the side opposite the 49 angle

Simplify this into 28.83 cos 41, and plug it into the calculator and you get

21.75827.

PLEASE HELP!!! geometry!

Answers

Answer:

A' (-3,12)

B' (9,6)

C' (-6,-6)

Answered by GAUTHMATH

what is the measure of angle k?

Answers

answer is C, 180-58=122°

Answer:

Hence the answer is Letter B.

Step-by-step explanation:

° ° °

Find KL
IJ=9
JK=11
KL?

Answers

Answer:

KL = 6

Step-by-step explanation:

IL = 26

IJ = 9

JK = 11

KL = ?

To find KL

Let KL be x

IJ + JK + KL = IL

9 + 11 + x = 26

20 + x = 26

transpose to find KL that is x

x = 26 - 20

x = 6

therefore KL = 6

Answer:

KL = 6

Step-by-step explanation:

First step is to create an equation

Given: IL = 26

This means that the sum of the segments that make up IL also equal 26

In other words, IJ + JK + KL = 26 ( note that this is the equation that we will use to solve for the missing segment )

Given: IJ = 9 , JK = 11 and KL = ?

To find the length of the missing segment we simply plug in the known segment lengths into the equation we created and solve for the unknown one.

Equation created: IJ + JK + KL = 26

Variables: IJ = 9 , JK = 11 and KL = ?

Plug in variables into equation

9 + 11 + KL = 26

Now solve for KL

Step 1 Combine like terms ( 9 + 11 = 20 )

20 + KL = 26

Step 2 Subtract 20 from both sides

20 - 20 + KL = 26 - 20

KL = 6

And we are done!

f(x) = 2x + 7 with domain: x = {2, 3, 5, 9}

Answers

Answer:

2(2)+7=11

2(3)+7=13

2(4)+7=15

2(5)+7=17

2(9)+7=25

Step-by-step explanation:

2(2)+7

4+7=11

2(3)+7

6+7=13

2(4)+7

8+7=15

2(5)+7

10+7=17

2(9)+7

18+7=25

Find m so that the equation msin²x+cos²x=m-1 has a solution on the interval (0;π/4)​

Answers

msin²x+cos²x=m-1

since the interval are 0 and π/4

Therefore

msin²(0)+cos²(0)=m-1

m(0)+1=m-1

1=m-1

m=2

use π/4 now

msin²(π/4)+cos²(π/4)=m-1

m(1/2)+(1/2)=m-1

m+1=2(m-1)

m+1=2m-2

-m=-3

m=3

Therefore

m=2 or 3

tan30°+cos30°÷tan30°×cos30°​

Answers

Answer:

{1/√3+1/2} ÷{1/√3× 1/2}

(2+√3)/2√3÷(1/2√3)2+√3+1 /2√3(2+1 )+√3 /2√33 +√3 /2√3

List pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons. Given ABDF ~ VXZT



** I NEED HELP I KEEP GETTING IT WRONG**

Answers

Given:

[tex]ABDF\sim VXZT[/tex]

To find:

The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Solution:

We have,

[tex]ABDF\sim VXZT[/tex]

The corresponding angles of similar polygons are congruent. So,

[tex]\angle A\cong \angle V[/tex]

[tex]\angle B\cong \angle X[/tex]

[tex]\angle D\cong \angle Z[/tex]

[tex]\angle F\cong \angle T[/tex]

The corresponding sides of similar polygons are proportional. So,

[tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex]

Therefore, the required solutions are [tex]\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T[/tex] and [tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex].

What is the constant of proportionality in the equation x 2
—- = ——
Y 9

Answers

Answer:

The Constant is 9/2

The equations of four lines are given. Identify which lines are perpendicular.

Line 1: y=2
Line 2: y=15x−3
Line 3: x=−4
Line 4: y+1=−5(x+2)

Answers

Answer:

lines 1 and 3

Step-by-step explanation:

y = 2 is a horizontal line parallel to the x- axis

x = - 4 is a vertical line parallel to the y- axis

Then these 2 lines are perpendicular to each other

y = 15x - 3 ( in the form y = mx + c ) with m = 15

y + 1 = - 5(x + 2) ( in the form y - b = m(x - a) with m = - 5

For the lines to be perpendicular the product of their slopes = - 1

However

15 × - 5 = - 75 ≠ - 1

The 2 lines 1 and 3 are perpendicular

(84)/(12)+(5-7)^(2)-72-6x2

Answers

Answer:

[tex]-73[/tex]

Step-by-step explanation:

Note: My explanation is based of the order-of-operations

First, using the order-of-operations, we evaluate the expressions in parentheses. Fully simplifying [tex](5-7)^2[/tex] gives us: [tex](5-7)^2 = -2^2 = 4[/tex].

Next, we do [tex]6\cdot2[/tex] giving us [tex]12[/tex]. So far, our expression is simplified to [tex]\frac{84}{12} + 4 - 72 - 12[/tex].

We also know that [tex]\frac{84}{12}[/tex] is just [tex]7[/tex] so we can replace that value in the expression leaving us with: [tex]7+4-72-12[/tex]. Now, we can solve it in simple steps!

1)  [tex]7+4=11[/tex]

3) [tex]11-72=-61[/tex]

4) [tex]-61-12=-73[/tex]

Our answer is [tex]-73[/tex]

Hopefully this helped you out! Please (please) tell me if their is a mistake in the solution and I will correct it as fast as possible for me.

The amount of money lana earns for tutoring is proportional to the time she spends tutoring. She earns $24 for tutoring 1 1/2 hours. what is the constant of proportionality for the relationship between dollars earned and number of hours?

Answers

Answer:

y=16x

Step-by-step explanation:

24=1 1/2x=3/2x

x=24*(2/3)=16

y= total money earned; x=number of hours worked

evaluate the expression. check all possible sets that the solution may belong in. 40-5^2

Answers

Answer:

15

Step-by-step explanation:

following PEMDAS, we don't have () so we move on to exponents

5^2 is equal to 5 x 5 which is 25

40-25=15

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{40 - 5}\mathsf{^2}\\\\\\\large\textsf{5}\mathsf{^2}\\\large\textsf{= 5}\times\large\textsf{5}\\\large\textsf{= \bf 25}\\\\\\\large\textsf{= 40 - 25}\\\\\\\large\textsf{= \bf 15}\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Therefore your answer is: \bf 15}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\textsf{Amphitrite1040:)}[/tex]

A girl bought x kg of green apples and 3 kg of red apples. What was the total mass of all the apples she bought

Answers

Answer:

Total = x+3 kg

Step-by-step explanation:

Green apples = x kg, Red apples = 3 kg

Question Number 19 of 40 - Algebra II Boyle's Law states that, for a fixed amount of gas, the volume of the gas at a constant temperature is inversely proportional to the pressure. If a certain gas occupies 9.84 liters at a pressure of 50 centimeters of mercury (cm Hg), what is the approximate pressure when the volume is increased to 12 liters

Answers

Answer:

41 cm Hg

Step-by-step explanation:

Marla noticed that her friend Ron had three times as many pieces of candy as she did. She told him, "If you give me seven pieces of your candy, we'll have exactly the same number of pieces." Ron responded, "I didn't know that until you mentioned it. But I'll make you a deal: If you can show me how to solve this puzzle using algebra, I'll give you the seven pieces. "One minute later, Ron was shocked to see that Marla had solved it perfectly. Can you do the same?

Answers

Answer:

This question seems to be asking for the work, so I put it below.

Anyhow, Marla had 3.5 candies, and Ron had 10.5.

Step-by-step explanation:

x = 3x - 7  (lets set this as "a")   { a = 3x - 7}

x + 7 = 3x -7 + 7

x + 7 = 3x

( x + 7 ) / 3 = 3/3x

( x + 7 ) / 3 = x     =    *(same as "a") {a}

( x + 7 ) / 3 = 3x - 7

( x + 7 ) / 3 * 3 = ( 3x - 7 ) * 3

x + 7 = 9x - 21

x - x + 7 = 9x - x - 21

7 = 8x - 21

7 + 21 = 8x - 21 + 21

28 = 8x

28 / 8 = 8/8x

3.5 = x

We can plug this back into the original equation and find that it is correct because:

x = 3x - 7

x = 3.5  =====

3.5 = 3( 3.5 ) - 7

3.5 = 10.5 - 7

3.5 = 3.5

Answer:

Marla has 7 and Ron has 21

Step-by-step explanation:

lets take

no. of candies Marla has as "x"

and no. of  candies Ron has will be "3x"

Marla says if Ron gives her seven candies, they will have the same no. of candies

so your equation will be -

x + 7 = 3x - 7 (as Marla gets the candy, Ron loses the candy)

3x - x = 7 + 7

2x = 14

∴x = 7

and 3x = 3 x 7 = 21

YOUR WELCOME

What is the measure of m?
5
15
E
n
m = [?]

Answers

Answer:  10

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

Explanation:

The two smaller triangles are proportional, which lets us set up this equation

5/n = n/15

Cross multiplying leads to

5*15 = n*n

n^2 = 75

----------

Apply the pythagorean theorem on the smaller triangle on top, or on the right.

a^2+b^2 = c^2

5^2+n^2 = m^2

25+75 = m^2

100 = m^2

m^2 = 100

m = sqrt(100)

m = 10

what value of x is in the solution set of -5-15>10+20x

Answers

Answer:

-3/2 >x

Step-by-step explanation:

-5-15>10+20x

Combine like terms

-20 > 10 +20x

Subtract 20 from each side

-20 -10 > 10+20x-10

-30> 20x

Divide by 20

-30/20 >20x/20

-3/2 >x

Answer:

-3/2 > x

Step-by-step explanation:

-5 - 15 > 10 + 20x

 ^    ^

  -20

-20 > 10 + 20x

-10    -10

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

-30 > 20x

-----   -------

20     20

-3/2 > x

Hope this helped.

Please help I if you can thank you do much

Answers

Answer:

A. (Pay as you go) $120 B. (Regular deal) $90 C. (All-in-one price!) $100 D. The "Regular deal" option would be the least expensive for Carl.

Step-by-step explanation:

If Carl does the "Pay as you go" option he would be charged $6 each time. If he works out 20 times a month, we can multiply 20 by 6 to get a total of $120 for that option.

If Carl does the "Regular deal" option he would be charged $50 + an additional $2 for each time he works out. From there, we can get the equation 2x + 50 where x is the amount of time he works out. If we plug in 20 for x (as he works out 20 times a month), we get 2(20) + 50 which equals a total of $90 for that option.

If Carl does the "All-in-one Price!" option he would be charged $100 for the whole month meaning he has unlimited use of the gym with no extra charge besides the $100.

The cheapest option is the "Regular deal" option as it charges $90 compared to the $100 for the "All-in-one Price!" option & the $120 for the "Pay as you go" option.

what is the equation in slope intercept form 3 y - 9= 12x please help fast ​

Answers

Answer:

Step-by-step explanation:

Slope intercept form is y = mx + b where m is the slope and b is the y intercept SO

y = mx + b

3y - 9 = 12x

3y = 12x + 9 (divide by common denominator 3)

y = 4x + 3

can someone pls help w finding the x and y intercepts of this?

y=x^2-2x

Answers

Answer:

y-intercept is 0, x-intercept is 0 and 1

Step-by-step explanation:

For y-intercept, x=0 :

[tex]{ \tt{y = {(0)}^{2} - 2(0) }} \\ { \tt{y = 0}}[/tex]

For x-intercept, y=0 :

[tex]{ \tt{0 = {2x}^{2} - 2x }} \\ { \tt{2x(x - 1) = 0}} \\ { \tt{x = 0 \: \: and \: \: 1}}[/tex]

(Picture) Could someone help me solve this I need to use Inverse Operations but I don't fully understand? I'll mark brainliest, 10 Points.

Answers

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

First,Step write the given equation.

[tex] \frac{x}{2} + 7 = 3[/tex]

In Algebra, we learn how to solve for a missing term called a variable. We must use inverse operations to undo terms to isolate our variable. Inverse operations means that we do the opposite of the given.

Opposite of Addition is Subtraction, vice versa.Opposite of Multipication is Division, vice versa.

For example, say we have a equation

[tex]x + 2 = 3[/tex]

We would subtract 2 from both sides. E.g( remember the golden rule of algebra). What we do to one side, we do the other. This applies when we solving for a variable.

This means that

[tex]x = 1[/tex]

And if we substitute 1 in for x, it is indeed true.

[tex]1 + 2 = 3 = 3[/tex]

Now, back to the question.

[tex] \frac{x}{2} + 7 = 3[/tex]

First, we subtract 7 from both sides to get rid of the 7 on the left side. Also remeber to undo terms that aren't included in the variable when solving these problems.

So now we got

[tex] \frac{x}{2} = - 4[/tex]

Then we multiply 2 by both sides since that the opposite of division.

[tex] \frac{x}{2} \times 2 = x = -4 \times 2 = - 8[/tex]

So this means that

[tex]x = - 8[/tex]

If we plug this in, this is true.

[tex] \frac{ - 8}{2} + 7 = 3[/tex]


In algebraic expression

Three-fourths the square of a number.

Answers

Answer:

3/4x^2

Step-by-step explanation:

Answer:

[tex] \frac{3}{4} \sqrt{x} [/tex]

where 'X' is the number

Step-by-step explanation:

hope this helps

The scores of James in his math test are 75, 78, 89, and 71. What score on the next test will make James’ average at least 80 ?
x > 87
x > 87
x < 87
x < 87

Answers

Answer: x ≥ 87

Step-by-step explanation:

Set the minimum score on the next test as x & calculate it:

[tex]\frac{75+78+89+71+x}{5} =80\\\\75+78+89+71+x=80(5)\\\\313+x=400\\\\x=400-313=87[/tex]

So they need at least a score of 87 for the average to be 80+.

Answer:

x ≥ 87

Step-by-step explanation:

take a square of arbitary measure assuming its area is one square unit.divide it in to four equal parts and shade one of them.again take one shaded part of that square and shade one fourth of it.repeat the same process continuously and find the sum area of shaded region​

Answers

Answer:

In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.[1][2] The order of the magic square is the number of integers along one side (n), and the constant sum is called the magic constant. If the array includes just the positive integers {\displaystyle 1,2,...,n^{2}}{\displaystyle 1,2,...,n^{2}}, the magic square is said to be normal. Some authors take magic square to mean normal magic square.[3]

The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3

Magic squares that include repeated entries do not fall under this definition and are referred to as trivial. Some well-known examples, including the Sagrada Família magic square and the Parker square are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant we have semimagic squares (sometimes called orthomagic squares).

The mathematical study of magic squares typically deals with its construction, classification, and enumeration. Although completely general methods for producing all the magic squares of all orders do not exist, historically three general techniques have been discovered: by bordering method, by making composite magic squares, and by adding two preliminary squares. There are also more specific strategies like the continuous enumeration method that reproduces specific patterns. Magic squares are generally classified according to their order n as: odd if n is odd, evenly even (also referred to as "doubly even") if n is a multiple of 4, oddly even (also known as "singly even") if n is any other even number. This classification is based on different techniques required to construct odd, evenly even, and oddly even squares. Beside this, depending on further properties, magic squares are also classified as associative magic squares, pandiagonal magic squares, most-perfect magic squares, and so on. More challengingly, attempts have also been made to classify all the magic squares of a given order as transformations of a smaller set of squares. Except for n ≤ 5, the enumeration of higher order magic squares is still an open challenge. The enumeration of most-perfect magic squares of any order was only accomplished in the late 20th century.

Magic squares have a long history, dating back to at least 190 BCE in China. At various times they have acquired occult or mythical significance, and have appeared as symbols in works of art. In modern times they have been generalized a number of ways, including using extra or different constraints, multiplying instead of adding cells, using alternate shapes or more than two dimensions, and replacing numbers with shapes and addition with geometric operations.

The sum area of shaded region​ is [tex]\frac{1}{3}[/tex].

Summation formula for geometric progression

The formula to find the sum of infinite geometric progression is

[tex]S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1[/tex]

Given

S = [tex]\frac{1}{4} +\frac{1}{16} +\frac{1}{64} +.........[/tex]

Using geometric progression

S = [tex]\lim_{h \to \infty} [\frac{1}{4} +(\frac{1}{4} )^{2} +(\frac{1}{4} )^{3} +.........+(\frac{1}{4} )^{n}][/tex]

Using summation formula for geometric progression

[tex]S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1[/tex]

= [tex]\lim_{h \to \infty} \frac{\frac{1}{4} (1-(\frac{1}{4} )^{n} }{1-\frac{1}{4} }[/tex]

= [tex]\lim_{h \to \infty} \frac{\frac{1}{4} (1-\frac{1}{4^{n} }) }{\frac{3}{4} }[/tex]

= [tex]\lim_{h\to \infty} \frac{1}{3}(1-\frac{1}{4^{n} } )[/tex]

[tex]\lim_{h\to \infty} \frac{1}{4^{n} }[/tex] = 0

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

The sum area of shaded region​ is [tex]\frac{1}{3}[/tex].

Find out more information about summation formula for geometric progression here

brainly.com/question/27438806

#SPJ2

how did they get 3/4 ?

someone please help me explain

Answers

Answer: 0.6/0.8

= (0.6*100)/(0.8*100) {multiplying by 100 in both numerator and denominator}

= 60/80 (cut the zero)

= 6/8 (cut by 2)

= 3/4

Find the length of each side and the
perimeter.
(5n -17) cm
(2n + 1) cm
n cm

Answers

7n-16

Step-by-step explanation:

Sry can u give me the picture

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Use Consolidate to create a summary of real estate sales for all property types. Place the consolidated data on the Summary worksheet in cells B3: C15. Use the Average function to consolidate the data from cells B2: C14 in the Condo, Townhouse, and Single Family worksheets. Include links to the source data.4. Import individual sales data from the tab-delimited text file Select Sales Data 2019-2020. Import the data as a table in cell A1 of the Select Sales worksheet.5. Remove the data connection when the import is complete.6. In the Select Sales worksheet, add data validation to restrict values in the House Type columns (cells B2: B139) to the values in the cell range named PropertyTypes. Include a drop-down list of values in the cells to assist in data correction.7. Add the following input message to cells B2:B139: Select a property type from the list.8. Add the following error alert to cells B2:B139: Not a valid property type.9. Apply data validation circles to any values that violate the data validation rules you just created.10. Add a comment to cell B1 in the Select Sales worksheet that reads: This needs to be fixed.11. Add a hyperlink from cell B1 in the Select Sales worksheet to link to the named range (defined name) PropertyTypes. Test the link.12. Use Flash Fill to add a new column of data to the Select Sales worksheet to display the number of bedrooms/the number of bathrooms.a. In the Select Sales worksheet, cell F1, type the heading: BR/BAb. Complete the column of data using this pattern in cell F2: 1 BR/1 BAYou will need to enter at least two samples in order for Flash Fill to suggest the correct autofill data. Check your work carefully. Sales Summary 2019-2020 Number of Sales Average Selling Price 123 One BR, One BA 4 One BR, Two BA + 5 Two BR, One BA 6 Two BR, Two BA 7 Two BR, Two BA + 8 Three BR, One BA 9 Three BR, Two BA 10 Three BR, Three BA + 11 Four BR, One BA 12 Four BR, Two BA 13 Four BR, Three BA+ 14 Five BR-. One BA 15 Five BR+ Two BA+ 16 17 18 19 20 21 22 23 24 how do you think earths large temperature gradient affects the speed of its convection currents how would this speed change if earths core was cooler Find the place value of 8 in 2456.1387.TenthsHundredthsThousandthsThousands