Zane took three typing tests and recorded the results as shown.

Test

Number of

Words

Time

(minutes)

3

4

D

30

B

78

15

22

С

99

What was Zane's unit rate, in words per minute, on each test?

On which test does Zane have the highest unit rate?

Answers

Answer 1

Numbers aren't arranged properly so I'll try and do this. Please follow method as answer might differ cause of this

Test Number of Words Time(minutes)

A. 30. 4

B. 78. 15

C. 99. 22

Answer:

Step-by-step explanation:

To calculate Zane's unit rate/number of words per minute for which each test, we divide number of words in each test by time taken for that test

For test A, unit rate = 30 words/ 4 minutes = 7.5 words per minute

For test B, unit rate = 78 words/15 minutes = 5.2 words per minute

For test C, unit rate = 99 words/22 minutes= 4.5 words per minute

From the above Zane has the highest unit rate in test A and is therefore fastest in test A


Related Questions

Find the equation of a line using y = mx + b given the slope is 2 and the y-intercept is (0,2).

Answers

Answer:

y=2x+2

Step-by-step explanation:

y=mx+b where:

m=slope; b=y intercept

Therefore, simply plug in values for (m) and (b)

(m=2); (b=2)

and you're left with the equation (y=2x+2)

Y=2x+2. That’s going to be your correct answer.


Evaluate each side of the equation to determine if the statement is true
If it is true, then type the word true
If it is false, then type the word false.
3 (22 - 4y) + 4 = 6 (2 - 2y) + 2 - 2

Answers

Answer: True
Explanation: You first use the three to multiply into the parentheses and do the same on the other side which gets you 6x-12y+4=6x-12y+2•2
then multiply 2•2 which gets you 6x-12y+4=6x-12y+4. so both sides are equal which means the equation is true

Rosario and Enrique are in the same mathematics class. On the first five tests, Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of 90, 61, 79, 73, and 87. How much higher was Enrique's average than Rosario's average?

Answers

Answer:

3

Step-by-step explanation:

Rosario: (78+77+64+86+70)/5=75

Enrique: (90+61+79+73+87)/5=78

3

Julio are you drawing a map of humid. The actual payment has a base of 3000 feet and a height of 1200 feet. Julio needs his drawing to sit on his papers, and he decides to make the base of his triangle 10 inches.

Answers

The height of the drawing is 4 inches.

What is the height?

A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension

Scale of the drawing = original dimensions / dimensions of the scale drawing

The first step is to determine the scale of the drawing : 3000 / 10 = 300 feet : 1 inch

The second step is to determine the height of the drawing in the map: 1200 / 300 = 4 inches

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Here is the complete question:

Julio are you drawing a map of humid. The actual payment has a base of 3000 feet and a height of 1200 feet. Julio needs his drawing to sit on his papers, and he decides to make the base of his triangle 10 inches. What is the height of the humid in Julio's drawing?

Find the value of k in the data set so that f(x) is a linear function.
x = {-7, -2, 2, 5}
f(x) = {-15, k, 3, 9}

Answers

In order for f(x) to be a linear function, determine the value of k in the data set.

x = {-7, -2, 2, 5}

f(x) = {-15, k, 3, 9}

The value of k is {-5}.

Given that to find the value of k in the data set such that the data set represents a linear function.

Linear Function is a straight line on the coordinate plane is represented by a linear function. The formula for a linear function is f(x) = mx + b, where m and b are real values.

Here, f(x) or y is the dependent variable, m is a slope of the line, x is the independent variable and b is the y-intercept.

Here,(x,f(x)) are {(-7,-15),(-2,k),(2,3),(5,9)}

The slope of the function,

(x, f(x)) = (2,3) and (5,9)

Slope formula is m=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Slope m= [tex]\frac{9-3 }{5-2}[/tex]

Slope m=[tex]\frac{6}{3}[/tex]

Slope m=2.

Using the point slope form, determine the linear function's equation.

[tex]y-y_{1} =m(x-x_{1})[/tex]

Here, [tex](x_{1},y_{1})=(-7,-15)[/tex] and m=2

We get

y + 15 = 2 (x + 7)

y = 2x - 1

Now at x = -2 and f(x) = k

k = 2(-2) - 1

k = -4-1

k=-5

Therefore, the value of k is -5.

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if my new price is 54 and my old price was 68 what is the difference between my new and old price

Answers

Answer:13

Step-by-step explanation:

68-54=14

14-1=13

Simplify.
H+
1 to the power of 1/4

Answers

Answer:

noooo

Step-by-step explanation:

Please procedure and solution

2 x |-6|-3 x |2|+|-14|=​

Answers

Applying the rule of modulus for given values, the expression will result to 20.

What is Modulus or Absolute Values

The modulus of a value for example |a|=a if a is greater than or equal to zero

and also

|a|=-a if a is less than zero

In the expression given; the modulus of -6 written as

|-6|=-(-6) this is because the value is less than zero

The modulus of 2 written as; |2|=2 this is because the value is greater than zero. and;

|The modulus of -14 written as; |-14|= -(-14) since the value is less than zero.

Hence, we can rewrite the expression as;

we deal with multiplication first following the rules of BODMAS

2×-(-6)-3×2+[-(-14)]

2×6-6+14

and thus adding values

12+14-6

and finally we subtract;

26-6

which will results to the solution of 20.

9 + k + 5 = 21
pls help

Answers

Answer:

k= 7

Step-by-step explanation:

First let's add like terms: a+b+a=c: a²+b=c

k+9+5=21

k+14=21

Subtract 14 from both sides of the equation

k+14-14=21-14

K=7

Hi!

[tex]\tt{9+k+5=21}[/tex]

Step 1: Combine like terms.

[tex]\tt{9+5+k=21}[/tex]

[tex]\tt{14+k=21}[/tex]

Step 2: Subtract 14 from both sides.

[tex]\tt{k=7}[/tex] [tex]\checkmark[/tex]

Have a great day!

Hope that helps. :)

-Stargazing & daydreaming -

HELPPPPPPPPP PLS ASAP

Answers

Answer:

I'm pretty sure its A

Step-by-step explanation:

square root of 6 is 2.44948974278 and A is around 2.4

A cube has edge length 3 inches what is its volume?

Answers

Answer:

So a cube has all the same edge lengths and since the cube has an edge length of 3

you would just do:

3•3•3

Which is 27

The volume is 27 inches. Volume is measured length • width• height. A cube has all equal sides meaning that the length and width and height are all the same. 3x3x3=27

1. The distance between Earth and Mars is approximately 4.35 × 107 miles.
What is this distance in standard form?
A 435,000 miles
B 4,350,000 miles
C43,500,000 miles
D 435,000,000 miles.

Answers

The distance between Earth and Mars in the standard form is               43, 500, 000 miles.

The correct answer is an option (C)

In this question we have been given the distance between Earth and Mars.

The distance between Earth and Mars is approximately 4.35 × 10^7 miles.

We need to write above distance between Earth and Mars in the standard form.

So, we get an expression,

4.35 × 10^7 miles

= 435 × 10^5 miles

= 435 × 100, 000 miles

= 43, 500, 000 miles

Therefore, the distance between Earth and Mars in the standard form is 43, 500, 000 miles.

The correct answer is an option (C)

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Someone please help me

Answers

Graphing the linear functions, it is found that they will have the same height after 5 hours, of 21 inches.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For each function in this problem, we have that:

The initial height is the intercept.The melting rate is the slope.

Hence the functions are given as follows:

A(t) = 51 - 6t.B(t) = 36 - 3t.

The functions are graphed at the end of the answer, with A(t) in blue and B(t) in black. The intersection of the graphs is at (5,21), which means that they will have the same height after 5 hours, of 21 inches.

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Solve for b2. A=1/2h(b1+b2)

Answers

A = \frac{hb_{1} }{2} +  \frac{hb_{2} }{2}  is the solution of this linear equation.

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Apply the distributive property.

A = [tex]\frac{1}{2} . ( hb_{1} + hb_{2} )[/tex]

Apply the distributive property

A = [tex]\frac{1}{2} ( hb_{1} ) + \frac{1}{2} hb_{2}[/tex]

Multiply [tex]\frac{1}{2}( hb_{1} )[/tex]

combine h and 1/2

A =[tex]\frac{h}{2} b_{1} + \frac{1}{2} ( hb_{2} )[/tex]

[tex]A = \frac{hb_{1} }{2} + \frac{hb_{2} }{2}[/tex]

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true or false: the difference between cross-sectional and time series data is whether the data is evaluated at a single point in time or multiple points in time

Answers

The statement "the difference between cross-sectional and time series data is whether the data is evaluated at a single point in time or multiple factors in time" is true.

The distinction between cross-sectional data and time-series data is that time-series data takes into account the identical variables over a period of time, whereas cross-sectional data makes use of specific records for a specific factor in time.

A data set may be both time series and cross sectional.

When the records of go sectional records is regressed, the defined and explanatory variables are all related to the identical single length or point in time.

Time-series and cross-section (TSCS) data collectively are normally analyzed in political technology and associated disciplines.

Therefore, the statement "the difference between cross sectional and time series data is whether the data is evaluated at a single point in time or multiple factors in time" is true.

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The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks plus $225 for each ton of sugar transported. The total cost, C (in dollars), for transporting N tons is given by the following function. C(n)=3500+225n)

Answers

Answer:to answer this question you have to look at what the relationship is between tones of sugar and the equation C(n) = 6,500 + 225n. The question gave you a hint in parenthesis in the form of (n) tons. This statement means that the amount of sugar is n so for question 1 the 13 tons is the n value.

Q1:

C(13) = 6,500 + 225*13

C(13) = 6,500 + 2,925

C(13) = 9,425

so what does the 9,425 mean? This is the cost to transport 13 tons of sugar.

Q2:

so this part n is unknown and we are given the C(n) number.

11,450 = 6,500 + 225n

subtract the 6500 from both sides

11,450 - 6,500 = 225n

evaluate

4,950 = 225n

I don't like the n on the right side so I am going to rewrite the equation

225n = 4,950

divide by 225

n = 4,950/225

evaluate

n = 22

So this result means that the company would transport 22 tones of sugar.

Have a great day!

Step-by-step explanation:

Dionne pays a fixed fee plus an hourly rate to rent a boat. The table below shows how much Dionne paid for the boat. Write an equation in slope intercept form to represent the relationship.

Answers

The equation in slope intercept form to represent the relationship is y = 12x + 15

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard equation of a line is:

y = mx + b

Where m is the slope (rate of change) and b is the initial value of y.

Let y represent the total amount paid for renting a boat for x hours.

From the table, using the points (1, 27) and (3, 51):

The equation of the line is given as:

y - 27 = [(51 - 27)/(3 - 1)](x - 1)

y = 12x + 15

The equation in slope intercept form to represent the relationship is y = 12x + 15

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3/6 X 2/4?
A. 6/24
B. 18/8
C. 8/18

Answers

I believe the answer would be A

pansy measured the height of a window frame as 5.12 feet, but the actual height was 6 feet. what is the percentage of error in pansy's measurement?

Answers

The percentage of error in Pansy's measurement is 14.67%

In the given statement is :

Pansy measured the height of a window frame as 5.12 feet, but the actual height was 6 feet.

We know that

Percentage error can be calculated using the formula: (what was measured - the actual measurement) / actual measurement × 100%.

Thus:

The height that was measured = 5.12 feet

Actual measurement of the height = 6 feet

Percentage error = (6 - 5.12) / 6 × 100

Percentage error = 14.67

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please help with these 2 questions in math!! thank uu!!

Answers

Answer:

sorry if wrong again but for a put (r+y) (a+b)

for b put (pq-[tex]r^{2}[/tex]) x (9-1)

Step-by-step explanation:

how to Solve 5 |2x - 1 +20=3​

Answers

the correct value for x is -1.2, 2.2

Given 5 | 2x - 1 | + 20 = 3

Modulus of a  number

The modulus or absolute value, of a number, denoted |x+y| is calculated as

|x + y | =1

x + y   = ±1

We need to solve for the value of x

5 | 2x - 1 | = 3 - 20

5 | 2x - 1 | = -17

| 2x - 1 | = - 17 / 5

| 2x - 1 | = - 3.4

2x - 1 = ± (- 3.4)

2x - 1 = -3.4            2x -1 = 3.4

2x = - 3.4 + 1           2x = 3.4 + 1

2x = - 2.4                2x = 4.4

x = - 1.2                     x = 2.2

Therefore, the value for x is -1.2, 2.2

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A quarter back is sacked for a loss of 4 yards. On the next play, his team loses 10 yards. Then the the team gains 12 yards on the third play

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Play 1: Quarterback was sacked for a loss of 4 yards

Play 2 : Another loss of 10 yards

Play 3: a gain of 12 yards

Write an addition expression to represent the situation. Then find the sum and explain its meaning.

A loss of 4 yards = - 4

Loss of 10 yards = - 10

Gain of 12 yards = + 12

Addition expression for the scenario :

(-4) + (-10) + 12

Result :

-4 + (-10) + 12

= - 4 - 10 + 12

= - 14 + 12

= - 2

Hence, after two consecutive losses of 4 and 10 yards, the team wins 12 yards on the third play and the aggregate yards lost is reduced to 2 yards.

f+an=g Solve for 'f'.

Answers

Answer:

f = g - an

Step-by-step explanation:

f + an = g

To isolate f, we need to do inverse (opposite) operation for an.

The opposite of +an is -an

f = g - an

Hope this helps :)

Have a great day!

At 1pm,there were 16 seagulls on the beach .At 3 pm, there were 40 seagulls .What is the constant rate of change

Answers

Answer:

Step-by-step explanation:

During those 2 hours 24 more seagulls arrived.

Answer:

it is 12 seagulls per hour

Step-by-step explanation:

Can someone please help me i'm running out of time please!!!!

Answers

Answer:

10 and 1/2 for the first, and 3 and 3/4 for the second

Step-by-step explanation:


Freida is a clothing factory manager and wants to minimize her costs in the upcoming production cycle.
Her bosses have ordered that at least 100 shirts (s) and more than 150 pairs of pants (p) must be made to
meet inventory requirements. The factory cannot produce more than 800 garments in total and at east as
many pants as shirts produced. The total garments produced must also be at least 300. Shirts cost $8 each
to manufacture and sell for $22 while pants cost $5 to make and sell for $15. The factory costs $600 to run no
matter how many garments are made. How many shirts and pants should be made in order to minimize
costs?
1. Fill in the chart with the inequalities that come from this problem.
PROBLEM CONSTRAINTS
...at least 100 shirts
...more than 150 pairs of pants
. cannot produce more than 800 garments
„.at least as many pants as shirts produced
garments produced must be at least 300
2. Write the cost minimization equation.

3. Graph the system Of inequalities on the following graph or in Desmos.
4. How many Of each product should Freida make to minimize her costs?
5. profit is revenue minus costs. Write the profit equation (don't forget to include the $600 cost
independent of how many garments are produced)
6. Would your answer of what to produce be different if you were trying to maximize profit
instead of minimize costs? If so, what would be the new optimal production numbers?

Answers

Answer:

Step-by-step explanation:


Answer number 12 please thank you

Answers

Answer:

D. (A U C) ∩ B

Step-by-step explanation:

12.

A = {-2, -1, 0, 1}

B = {0, 1, 2, 3}

C = {-2, 0, 2, 4}

A. A U B = {-2, 1, 0 , 1, 2, 3}

B. A U (C ∩ B} = A U {0, 2} = {2, 1, 0, 1, 2}

C. B ∩ C = {0, 2}

D. (A U C) ∩ B = {-2, -1, 0, 1, 2, 4} ∩ {0, 1, 2, 3} = {0, 1, 2}

Order the following fractions from greatest to least 3/4 4/6 4/8

Answers

least is 4/8 4/6 greatest is 3/4

Answer:

4/8, 4/6, 3/4

Step-by-step explanation:

3/4 = 18/24

4/6 = 16/24

4/8 = 12/24

18>16>12

Are these repeating or terminal?

Answers

Answer:-5 1/3 is repeating and 1 1/4 is  terminal

Step-by-step explanation:

Answer: Terminal

Step-by-step explanation: yw :)

ABC and QRS are supplementary angels.
If the measure of ABC = 91. What is the measure of QRS?

Answers

71 is the right answer

Answer:A normal QRS complex measures 0.06 to 0.12 seconds which is 1.5 to 3 small boxes on the EKG strip. When you measure the QRS complex you start by measuring at the END of the PR interval to the END of S-wave.

Step-by-step explanation:

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