find the unit rate for each situation.

1) 350 words in 5 minutes

2) 200 meters in 40 seconds

Answers

Answer 1

Answers below.

1. 70 words a minute. (350/5=70)

2. 5 meters per second. (200/40 = 5)

Hope this helps!


Related Questions

PLEASE ANSWER QUICK! WILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

AB=99

ABC=1391

BAC=992

ACB=3301

Ben deposited $650 from his pressure washing business into a savings account. The simple interest rate paid by the bank is 3.5%. If Ben makes no deposits or withdrawals, how much interest will he earn in 4 years?

Answers

Answer:

Simple interest of Ben :

[tex] \frac{\$650 \times 3.5\% \times 4years}{100} = \frac{9100}{100} = \$91 \\ [/tex]

Ben earn $91 in 4 years.

A three member band decided they wanted new outfits shirts cost $15 each pants cost 36 each and shoes cost 49 each what is the total cost of the new outfits for all of the members

Answers

Answer: $300

Step-by-step explanation:

3 (15) + 3 (36) + 3 (49)

45 + 108 + 147

300

The total cost is $300

2. Carlos and Seth are catching bugs. The picture shows the number of bugs that Carlos has and the number of bugs that Seth has.

Answers

where is the picture

Find the unit rate.
180 miles in 3 hours

Answers

Answer:

60 miles per hour

Step-by-step explanation:

First, put the equation in a fraction.

You would put 180 up top because people always say miles per hour not the other way around.

You can see the dividing line as your "per" and your "hour" would be the bottom number.  

To find the unit rate, you will divide the numerator (180) and the denominator (3).  

Your final answer should be 60 miles per hour.

[tex]\frac{180}{3} = \frac{60}{1}= 60[/tex]

True or False: The following table is proportional

Answers

Answer:

True

Step-by-Step

When the x was 2, the y was 11.

When the x was 4, the y was 19.

So for every two on the x side, the y side adds 8.

So yes, there's a pattern AKA, this a proportional table.

Hope this helped! :)

Which of the expressions below has the value found farthest to the left on a
number line?

A. 7-10

B. -7 - 10

C. 10 - (-7)

D. 10 - 7

Answers

Answer:

-7 - 10

Step-by-step explanation:

The values found farthest to the left of a numbwr line are negative values, with positive values located to the right and 0 being the midpoint.

Thus positive values increase towards the right of the number line while negative values on the other hand reduces as we move farther to the left of the number line.

Hence , from the options given, - 7 - 10 gives a total of - 17 is the lowest negative value given in the option.

Find the least common multiple of: 6, 3, 2

Answers

least common multiple of 6,3,2 is 6.

- 6 is the smallest number that is divisible by all three.

Answer:

.5

Step-by-step explanation:

what is the equation of the line passing through the points 2/5 19/20 and 1/3 and 11/12 is a slope intercept form​

Answers

Answer:

y= (1/2)x+(3/4)

Step-by-step explanation:

What is the slope of the line that passes through the points (-5,8) and (-11,8)?
Write your answer in simplest form.

Answers

Answer:

[tex]\displaystyle m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 8)

Point (-11, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]:                    [tex]\displaystyle m=\frac{8-8}{-11+ 5}[/tex][Fraction] Subtract/Add:                     [tex]\displaystyle m=\frac{0}{-6}[/tex][Fraction] Divide/Simplify:                  [tex]\displaystyle m=0[/tex]

Which expression is equivalent to (4g3h2k4)3

Answers

Answer:

d) [tex]8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

      [tex]\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]    [tex]= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

Step-by-step explanation:

Explanation

Given expression

           =     [tex]\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]

By using

        (ab)ⁿ = aⁿbⁿ

         [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]

   =     [tex]\frac{(4)^{3} g^{9} h^{6}k^{12} ) }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]

After simplification , we get

  [tex]= 8g^{9}g^{-3} h^{6} h^{-2} k^{12} - (h^{5} k^{3} )^{5}[/tex]

 [tex]= 8g^{9-3}h^{6-2} k^{12} - (h^{5} k^{3} )^{5}[/tex]

[tex]= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

Thirty years ago Mike McNamara cycled 445.0km in 12 hours – a new British men’s record at that time. In the same time trial Beryl Burton (who died last year) completed 446.2km.

How much faster was Beryl Burton’s average speed than Mike McNamara’s (in metres per hour)?

Answers

Answer:

1000m/h

Step-by-step explanation:

You figure out both of the cyclists km/h times but converting their distance in the 12 hours into a rate

Mike McNamara:

[tex]\frac{445}{12}[/tex]

Beryl Burton:

[tex]\frac{446.2}{12}[/tex]

You then divide the denominator (12) by itself so that it becomes 1

Mike McNamara:

[tex]\frac{445}{12}[/tex] = [tex]\frac{445/12}{1}[/tex]

Beryl Burton:

[tex]\frac{446.2}{12}[/tex] = [tex]\frac{446.2/12}{1}[/tex]

You then divide the numerators by what you divided the denominator by (12) to get the km/h

Mike McNamara:

[tex]\frac{445}{12}[/tex] = 37.08km/h (rounded to two decimal places)

Beryl Burton:

[tex]\frac{446.2}{12}[/tex] = 37.18km/h (rounded to two decimal places)

You them have to convert km/h to m/h by multiplying the numerators (37.08 & 37.18) by 1000 to get the distance in metres

Mike McNamara:

37.08 x 1000

= 37080m

=37080m/h

Beryl Burton

31.18 x 1000

= 37180m

= 37080m/h

Therefore Beryl Burton's average speed was faster than Mike McNamara's by 1000m/h

Math problem please help

Answers

Answer:

[tex]\displaystyle -2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Average Rate of Change: [tex]\displaystyle \frac{f(b) - f(a)}{b - a}[/tex]

Step-by-step explanation:

Step 1: Define

a = 4

b = 8

f(4) = -1

f(8) = -9

Step 2: Find Average Rate

Substitute [ARC]:                    [tex]\displaystyle \frac{f(8) - f(4)}{8 - 4}[/tex]Substitute:                              [tex]\displaystyle \frac{-9 + 1}{8 - 4}[/tex][Frac] Add/Subtract:              [tex]\displaystyle \frac{-8}{4}[/tex][Frac] Divide:                         [tex]\displaystyle -2[/tex]

What is the image of (6,-7) after a reflection over the line y=x

Answers

-7,6
Flip them to find the answer over the line.

simplify 5a+3a ???????

Answers

Answer:

8a

Step-by-step explanation:

group all similar terms

3a + 5a = 8a

A bear has a mass of
126 kg. It is up in a
tree that is 2 m high.
How much potential
energy does the
bear have?

Answers

Answer:

2469.6 Joules

Step-by-step explanation:

5. (06.01)
Evaluate the expression 5^3 - (13 – 8) x 2. (4 points)

Answers

Answer:

=21.2

Step-by-step explanation:

53/(13-8)*2

=53/5*2

=10.6*2

=21.2

Answer:

21.2 i got this correct on my test

Step-by-step explanation:

Anyone know how to solve these

Answers

Answer:

1: 64π

2: 49π and 153.86

Step-by-step explanation:

For the first one we know that it has a diameter of 16 which means it has a radius of 8 (half the diameter)

To find the area of a circle use the following formula

π*r² where r is the radius

This means that the first answer is π*8^2

which is 64π

For the second one it's the same deal but the radius is 7

so the answer is 49π

Which is more, 5 meters or 4,996 millimeters?

Answers

Answer:

5 meters in milli is 5,000. 5,000 is more than 4996

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

one meter equals 1000 millimeters so obv 5 meters is bigger

HELP ASAP PLS THANKS SO MUCH

Answers

Answer:

(-4,1)

Step-by-step explanation:

Multiply first equation by 2

4x+6y=-10

Then subtract with second equation you get:

y=1

So put the value in first equation you get :

2x+3=-5

x=-4

Which inequalaty Is shown in this grap

Answers

Answer:

C. y ≤ -2x - 2

Step-by-step explanation:

Lets analyze the graph:

1. It is decreasing function as line goes down as x-value increases. It means the slope is negative. We have two same negatives: -22. Line is solid, so the inequality sign is either ≤ or ≥3. Shaded region is 'under' the line, it means the sign is ≤

Based on above observations and the fact that all have same y-intercept of -2, we can say required inequality is:

y ≤ -2x - 2

Correct option is C

3y−3x= 21 standard to slope intercept form

Answers

Answer:

y=x+7

Step-by-step explanation:

PLEASE HELP, TIME SENSITIVE




A rectangular paperboard measuring 35in long and 26in wide has a semicircle cut out of it, as shown below.



Find the area of the paperboard that remains. Use the value 3.14 for π(pi), and do not round your answer. Be sure to include the correct unit in your answer

Answers

Answer:

644.67 in^2 remaining

Step-by-step explanation:

So first find the area of this rectangle

rectangle area formula= A=LW

35*26=910

Now we have to find the semi circle value

so we know the diameter is 26 becuase the 2 sides (26 in) are equal and if you fill in the circle the diameter is still 26

A circle formula is

A= π*radius^2

So to find radius divide the diameter by 2

26/2=13

now 13^2=169

Now 169 *3.14 since asked that pi is 3.14

169*3.14=530.66

But Thats the whole circle

The circle that seems to be cut off is half of the original Circle so we half the original circle

530.66/2=265.33

Now we subtract that from the original

910-265.33=644.67

So

644.67 In^2

A ball is projected vertically upward from the surface of the earth with an initial speed of 49 meters per second. The ball reaches its maximum height in 5.0s. What is the vertical velocity of the ball when it strikes the ground

A. 0 m/s
B. -9.8m/s
C. 49m/s
D.-49m/s

Answers

I believe the answer is choice B

one number is three times of the other and their arithmetic mean is 10 find them​

Answers

Step-by-step explanation:

data

let the unknown numbers = x and y respectively

y is 3 × greater than x so, y = 3x

x+y/ 2 = 10

solution:

x + 3x= 10

4x=10

divide both sides by 4

x=4/10 or 2 1/2

As part of a survey of college students a researcher is interested is the variable, class standing. She records a '1' if the student is a freshman, a '2' if the students is a sophomore, a '3' if the student is a junior, and a '4' if the student is a senior. The variable, class standing is:________.
a. both categorical and quantitative
b. quantitative
c. categorical
d. none of the above

Answers

Answer:

c. categorical

Step-by-step explanation:

                     Categories of the record

      1                       2                  3               4

Freshman      Sophomore     Junior        Senior

This is simply a categorical arrangement of students in the college by the researcher who is interested in the variable, class standing. So option C is correct

answer questions 15 and 16.

Answers

Answer:

Step-by-step explanation:

:(

Find the x - intercept and
y - intercept of the graph of the
equation 4x + 7y = 6

Answers

Step-by-step explanation:

Step-by-step explanation:

x- intercept is the x coordinate when y is 0

4x + 7(0) = 6

4x = 6

x = 1.5

(1.5, 0)

y- intercept is when x is 0

4(0) + 7y = 6

7y = 6

y = 6/7

( 0, 6/7)

I hope this helps!!!

HELLO!

~ ★ Let x be the number4x + 7 (0) = 6  4x = 6  x = 1.54 (0) + 7y = 6 7y = 6 y = 6/7

✩✩✩

उपलब्धियों

find the value of x in the figure​

Answers

Answer:

25°

Step-by-step explanation:

from the triangle on the left, angles BAD and BDA are equal

angles in a triangle add up to 180°

so 180 - 80 = 100 /2 = 50°

now the straight line ADC angle is 180°

so 180° - 50° = 130 ° for angle BDC

the angle for x is the same as angle DBC

for the triangle on the right angles must add up to 180°

180 - 130 = 2x

50 = 2x

25° =x

Answer:

50

Step-by-step explanation:

let a,b

a=b being base angles.of isoceles triangle

80+a+b=180 sum of angles of triangle

80+a+a=180

2a=100

a=50

80+a+x=180 being sum of angles of triangle

50+a=100

x=50

what is the domain of g

Answers

Answer:

We conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

Step-by-step explanation:

We know that the domain of a function is the set of inputs or argument values for which the function is defined.

From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.

It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.

Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

Other Questions
Select the correct answer. Read this story from Aesop's Fables. What caused the frogs to ask Jove to send them a second king? The Frogs Desiring a King The Frogs were living as happy as could be in a marshy swamp that just suited them; they went splashing about caring for nobody and nobody troubling with them. But some of them thought that this was not right, that they should have a king and a proper constitution, so they determined to send up a petition to Jove to give them what they wanted. "Mighty Jove," they cried, "send unto us a king that will rule over us and keep us in order." Jove laughed at their croaking, and threw down into the swamp a huge Log, which came down the swamp. The Frogs were frightened out of their lives by the commotion made in their midst, and all rushed to the bank to look at the horrible monster; but after a time, seeing that it did not move, one or two of the boldest of them ventured out towards the Log, and even dared to touch it; still it did not move. Then the greatest hero of the Frogs jumped upon the Log and commenced dancing up and down upon it, thereupon all the Frogs came and did the same; and for some time the Frogs went about their business every day without taking the slightest notice of their new King Log lying in their midst. But this did not suit them, so they sent another petition to Jove, and said to him, "We want a real king; one that will really rule over us." Now this made Jove angry, so he sent among them a big Stork that soon set to work gobbling them all up. Then the Frogs repented when too late. A. Their first king drifted away into the swamp. B. They were unhappy with the King Log. C. They thought that they needed fewer rules. D. They enjoyed jumping and dancing on the King Log. What is the probability of drawing a face card from a standard deck of cards and rolling a 3 or more on a 20-sided dice?Write your answer in percent format but do not include the symbol.Write and round your answer to the nearest hundredth 1. S(4, 4), P(4, 2), A(6, 6) and Z(2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilateral. b) Apply the slope formula to determine whether the diagonals are perpendicular. c) Apply the midpoint formula to each diagonal to determine whether the diagonals bisect each other. HELP DUE in 20 MINm16 = Byron's use of a "hall" to stand for a "house" is an example of O metaphor synecdoche o metonymy O personification 6. A rock is dropped from a bridge. As it falls, its acceleration is 10. What is its speed when it hits the water after falling for 8.17 s?*Round your answer to the nearest hundredth if necessary.mn Molokai's seclusion is caused in part by its limited natural resources. Steep hillsides, anarid climate, strong winds, and rough seas mean that only a small portion of the land isviable for economic and agricultural development. But because of Molokai's closeproximity to more powerful islands, covetous outsiders spent centuries exploiting whatexisted of its natural resources, hoping to squeeze a profit out of Molokal forthemselves. From Hawaiian chieftains to modern corporations, the land was used andabused, leading to a vicious cycle of land-clearing, soil degradation, landslides, andmore. In short, those in power would wreak havoc on the land and depart, leaving theIsland in ruin. The small local population was left to pick up the pieces.Why did the author include this passage?ATo point out that in the past, the actions of Molokal's native residents in extracting theisland's natural resources caused environmental ruin on a massive scaleBTo suggest that Molokai is now ripe for economic development because valuable andhighly exploitable natural resources remain on the islandTo draw emphasis to the fact that the island of Molokai is located in such a remotelocation that the economic development of its resources is extremely difficultDTo explain that in spite of the island's remote location and relative lack of natural The diagram below provides details about the U.S. court system. Which court completes thediagram?U.S.District Court > US? > US Supreme CourtA- Court of Veterans AppealsB- Court of AppealsC- Military CourtsD- Claims Courts Graph the following equation2y-4x=81 Rewrite in slope intercept form The surface area for a rectangular prism is given by the formula SA = 2ab + 2bc + 2ac, where a, b, and c are the lengths of the prism. If the surface area of a rectangular prism with side c measuring 12 meters is 434 square meters and length of side a measuring the same length as side b, then what is the length of side a of the rectangular prism? WILL GIVE BRAINLIEST 3. Determine the amount of an investment of $500.00 is invested at an interest rate of 4.75% compounded quarterly for 20 years. help me nowwwww!!!!!! What must a bill receive in order to become law in the state of Georgia? A approval by the governor of Georgia B approval by both the House of Representatives and the Senate C approval by the Georgia Supreme Court D approval by both the Speaker of the House and the Senate Majority Leader do any of you go to sturgis school in southdakota sbhs The 2010 earthquake in Haiti caused more damage and death than the one a month later in Chile.O TO F Solve the system of equations by using the substitution method. 4x - 5y = 25 y=x-6 a local restaurant purchased 10 pounds of flour at a total cost of $40. what is the cost for one pound of flour? Select the sentence that has the correct colon punctuation. *A. My favorite cake is: made of carrots, flour, butter, eggs, and cream cheese icing.B. My favorite cake is made of carrots, flour, butter, eggs, and cream cheese icing.C. My favorite cake is made of carrots, flour, butter, eggs, and cream cheese icing.D. My favorite cake is made of carrots, flour, butter, eggs, and cream cheese icing. Which rule is almost always broken when does mass change?