Kurt and Maria's high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the goal has been reached. Kurt estimated the number of pounds of newspapers collected by finding 10% of 3,600 and then multiplying the result by 2. Maria estimated the number of pounds of newspapers collected by finding One-fifth of 3,600.

Answers

Answer 1

Options:

Who is right, and why?

a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.

b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.

c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Step-by-step explanation:

Given

[tex]Goal = 3585[/tex]

[tex]Collected = 21\%[/tex]

[tex]Kurt= 10\% * 3600 * 2[/tex]

[tex]Maria = \frac{1}{5} * 3600[/tex]

Required [Missing from the question]

Who is correct and why?

First, we calculate the actual amount collected.

[tex]Actual = Collected * Goal[/tex]

[tex]Actual = 21\% * 3585[/tex]

[tex]Actual = 752.85[/tex]

[tex]Actual = 753[/tex] --- approximate

Next, determine the estimate (round 3585 to 3600 and 21% to 20%)

[tex]Estimate = 20\% * 3600[/tex]

[tex]Estimate = 720[/tex]

Next, calculate Kurt and Maria's estimates

[tex]Kurt= 10\% * 3600 * 2[/tex]

[tex]Kurt = 720[/tex]

[tex]Maria = \frac{1}{5} * 3600[/tex]

[tex]Maria = 720[/tex]

Hence, Kurt and Maria are correct because of option (d)

Answer 2

Answer:

d

Step-by-step explanation:


Related Questions


State the horizontal asymptote of the rational function. F(x) = 5x + 1/ 9x -2

Answers

Answer:

[tex]y=\frac{5}{9}[/tex]

Step-by-step explanation:

For the graph of [tex]y=f(x)[/tex],

the horizontal asymptote becomes [tex]y=\frac{5}{9}[/tex]

How would you begin to plot the ordered pair ( 6,2)?

Answers

To graph a point you have a coordinate plane or graph not theirs a x axis with is a like going left to right and a y axis, a line starting up to down. I remember using the saying “run before you jump” meaning you run first starting at your origin(0,0). In this case your first number is 6 for which you would run until you’re at 6 on the x axis line or the line going left to right then jump to straight up because it’s a positive number. Because you’re jumping up you’re going to jump 2 on the y axis line or the line going up and down. Your point doesn’t need to be exactly on either line. Remember your first coordinate or number is the number you run with and the second the one you jump with

Julio's family traveled 3 8 of the distance to his aunt's house on Saturday. They traveled 3 5 of the remaining distance on Sunday. What fraction of the total distance to his aunt's house was traveled on Sunday?

Answers

Answer: [tex]\dfrac{3}{8}[/tex]

Step-by-step explanation:

Given

Julio traveled [tex]\frac{3}{8}[/tex] of distance to his aunt's house on Saturday

they have traveled [tex]\frac{3}{5}[/tex] of the remaining distance on Sunday

suppose the total distance is [tex]x[/tex]

Distance traveled on Saturday

[tex]\dfrac{3x}{8}[/tex]

Remaining distance is

[tex]x-\dfrac{3x}{8}=\dfrac{5x}{8}[/tex]

Distance traveled on Sunday

[tex]\Rightarrow \dfrac{3}{5}\times \dfrac{5x}{8}=\dfrac{3x}{8}[/tex]

The fraction of distance traveled on Sunday is

[tex]\Rightarrow \dfrac{\frac{3x}{8}}{x}=\dfrac{3}{8}[/tex]

In a quiz contest, Mary answers 90% of the questions correctly without any additional clues from the quiz coordinator. The randomly generated numbers below simulate this situation.

The numbers 0 to 8 represent questions answered correctly without additional clues, and the number 9 represents questions that needed additional clues.

44 51 99 66 23
68 72 20 20 59
50 89 39 36 20
90 13 51 47 92
49 20 89 10 13
52 82 52 52 99
28 10 33 35 73
40 44 30 95 22
99 10 55 10 35
36 78 92 37 96
The estimated probability that it would take at least three questions for Mary to need additional clues is (_____)

The estimated probability that Mary needed additional clues to answer two consecutive questions is (_____)

Answers

To solve this problem, we should note that there are:

total questions = 100

questions answered correctly = 90

questions that needed additional clues = 10

1. The first question is to find the probability that in the third question, Mary would need additional clue. Therefore this implies that in the first and second questions, Mary would answer it correctly. Therefore:

Probability = (question 1 answered correctly) * (question 2 answered correctly) * (question 3 needed clue)

Probability = (90/100)*(89/99)*(10/98)

Probability = 0.08256 = 8.26%

2. The second question finds for the probability that two consecutive needs additional clue, therefore:

Probability = (question 1 needed clue) * (question 2 needed clue)

Probability = (10/100)*(9/99)

Probability = 9.1*10^-3 = 0.91%

Answer:

1. The estimated probability that it would take at least three questions for Mary to need additional clues is 0.24

2. The estimated probability that Mary needed additional clues to answer two consecutive questions is 0.06

Step-by-step explanation:

I just took the test! I hope this helps you! <3

Answer please!! Thank you so much

Answers

Answer:

the first one is 4.03 and the second one os 4.33

Answer:

4.03 and 4.33 is the answer.

Step-by-step explanation:

The numbers increase by +0.1

∴ 4.03, 4.13, 4.23, 4.33, 4.43, 4.53

Find the measure of line segment MK. K 8 I 7 J M 5 2x+1

Answers

Hello!

This is a problem about relating circle theorems to line lengths.

We can first see that both line segment MK and CM are secants within the circle that come from a common point K.

This means that the Intersecting Secant Theorem applies here.

The Intersecting Secant Theorem states that if two secants are formed from a common point outside the circle, the length of each secant multiplied by the length of its corresponding external secant are equivalent.

We can set up the following equation.

[tex]8(8+x+5)=7(7+2x+1)[/tex]

[tex]8(x+13)=7(2x+8)[/tex]

[tex]8x+104=14x+56[/tex]

[tex]6x=48[/tex]

[tex]x=8[/tex]

Using this value, we can find the length of line segment MK.

[tex]MK=x+5+8[/tex]

[tex]MK=8+5+8[/tex]

[tex]MK=21[/tex]

Hope this helps!

simplify (3x^2 y^5)^4

Answers

Answer:

Step-by-step explanation:

Equation is below

Step 1

(3x^2 y^5)^4  

Step 2

(3x^2 y^5)^4  Simplify

81x^8y^20

Step 3

81x^8y^20  check

Answer

81x^8y^20

Hope this helped

martin has \frac{5}{6} of pizza liam has 4 times as much pizza

Answers

Answer:

10/3 pizza

Step-by-step explanation:

step one:

This problem is focused on ratios and fractions

from the problem statement, Martin has 5/6 pizza

Liam has 4 times more of what Martin have

step two:

so we can express what Liam has as

=(5/6)*4 = 20/6or

=5/6+5/6+5/6+5/6= 20/6

= 20/6

7. The value of a piece of land in a town is
increasing every year. Its value, in dollars, t
years after 1970 and until 2001 can be modeled
by the function 31,000(1.001). What is the
domain of the function?
OA. All whole numbers greater than or equal to
1971 and less than or equal to 2001.
OB. All real numbers greater than or equal to
1971 and less than or equal to 2001.
Oc. All non-negative real numbers less than or
equal to 31.
OD. All whole numbers less than or equal to 31

Answers

it is C

Step-by-step explanation:

got an A for homework

Help Me Please
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

What is the value of x?

Answers

Answer:

x = 59

Step-by-step explanation:

combine all four angle measure expressions and set equal to 360°, then solve

x + x + 2x + 3 + 2x + 3 = 360

6x + 6 = 360

6x = 354

x = 59

Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

56.5 in

Step-by-step explanation:

Answer:

56.5 in³

Step-by-step explanation:

I wrote out the work in the file below:

What is the measure of the indicated angle? 37∘ 53∘ 180∘ 127∘

Answers

Answer:

53∘

plz mark me as brainliest.

from the Deck of 52 cards is drawn at a random . what is the probability of a face card or ace ?​

Answers

Step-by-step explanation:

Given that,

Total no. of cards = 52 (Total no. of outcomes)

There are 12 face cards. No of favorable outcomes = 12

P(E) = favorable outcome/total no of outcomes

So,

[tex]P(F)=\dfrac{12}{52}\\\\=\dfrac{3}{13}[/tex]

There is 4 ace in a deck of 52 cards.

[tex]P(A)=\dfrac{4}{52}\\\\=\dfrac{1}{13}[/tex]

Hence, this is the required solution.

find hcf of x³y and x⁴y³
no a and d ​

Answers

Answer:

See solutions below

Step-by-step explanation:

a) Given the expressions

x³y and x⁴y³

Find their factors

x³y = (x * x * x * y)

x⁴y³ = (x * x * x * y) * x * y * y

GCF = x*x*x*y

GCF = x³y

The expressions in parenthesis is the GCF. Hence the GCF of x³y and x⁴y³ is x³y

b) For 48m⁶n⁵p⁴ and 20m⁴n⁵p⁶

48m⁶n⁵p⁴ =12 * (4 * m⁴ * n⁵ * p⁴) * m²  

20m⁴n⁵p⁶ = 5 * (4 * m⁴ * n⁵ * p⁴) * p²  

GCF is the expression common to both terms

GCF = 4 * m⁴ * n⁵ * p⁴

GCF = 4m⁴n⁵p⁴

PLEASE HELP FAST!!!!!!!!!

Answers

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

Simplify: (16-5)-9 x 1 A. 5 B. 2 C. 4 D. 3

Answers

Answer:

B it right...

Step-by-step explanation:

Answer: B 2

Step-by-step explanation:

16 - 5 = 11

11 - 9.1  = 2 option B

Evaluate the expression is a=2 and b=-1.
20-3b

Answers

Answer:

23

Step-by-step explanation:

20 - 3(-1)

20 - (-3)

20 + 3 =

23


Which of the following is true?
Swing Company
A -1 > 3
B -26 > -14
C -20 < 0
D 9 < -7

Answers

Answer:

C..... I think it is a answer

Find x. Round to the nearest tenth and only type the number for your
answer.
25
X
16
22

Answers

Answer:

10.7

Step-by-step explanation:

To find x we have to basically do pythagoream theorem twice. Both the traingles share the same long side. The find the long side of the top traingle do, [tex]a^{2} +16^{2} =25^{2}[/tex], and we find the long side to be [tex]\sqrt{369}[/tex]. Using this we now plug it into the pythagoream theorem for the bottom triangle. [tex]\sqrt{369} ^{2} +x^{2} =22^{2}[/tex], and doing this out we find that x=[tex]\sqrt{115}[/tex] or about 10.7.

Simplify 3/8 squared ​

Answers

Answer:

9/64

Step-by-step explanation:

3 x 3 is 9 and 8 x 8 is 64 and this fraction cannot be simplified

Exact Form:
√6/4

Or

Decimal Form:
0.61237243…

An animal transport van has a weight limit of 5,000 pounds. Which of these animal pairings could the van safely carry?

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Pair of animal the van can carry

The question is incomplete, as the animals and their weights are not given.

So, we make the following assumed parameters [in other to answer the question]

[tex]Goat = 2500lb[/tex]

[tex]Cow = 4500lb[/tex]

[tex]Dog = 1500lb[/tex]

[tex]Pig = 3000lb[/tex]

Add the weights of any two animals

[tex]Goat + Cow = 2500lb + 4500lb = 7000lb[/tex]

[tex]Goat + Dog = 2500lb + 1500lb = 4000lb[/tex]

[tex]Goat + Pig = 2500lb + 3000lb = 5500lb[/tex]

[tex]Cow + Dog = 4500lb + 1500lb = 6000lb[/tex]

[tex]Cow + Pig = 4500lb + 3000lb = 7500lb[/tex]

[tex]Dog + Pig = 1500lb + 3000lb = 4500lb[/tex]

Next: Select the sum that are less than or equal to 5000lb

[tex]Goat + Dog = 2500lb + 1500lb = 4000lb[/tex]

[tex]Dog + Pig = 1500lb + 3000lb = 4500lb[/tex]

Identify the pairs

(Goat, Dog) and (Dog, Pig)

Using the assumed parameters, the van can only transport the pairing of:

(1) Goat and dog

(2) Dog and pig

What is the equation of the line that passes through the point (5, -2) and has a
slope of -2/5

Answers

Answer:

y=-2/5x

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-2/5(x-5)

y+2=-2/5(x-5)

y=-2/5x+10/5-2

y=-2/5x+2-2

y=-2/5x

Add. Write your answer in simplest form. 3/8+2/5

Answers

Answer:

31/40

Step-by-step explanation:

it cannot be simplified any further

Answer:

3/4

Step-by-step explanation:

First, you have to find a common demenator between the fractions, you can do this by multiplying the denomenators together, 8 * 5 is 40

Next, you have to multiply the first fraction by 5/5 and the second fraction by 8/8 and now you have 15/40 + 16/40, and now that the fractions have the same denomenators you can just add the numerators

And you get 30/40, which can be reduced to 3/4 by diviging both the numerator and denomenator by 10

The store has 6 blue notebooks, 11 red notebooks, 7 purple notebooks, 5 black notebooks, and 3 green notebooks. What is the probability that Melissa will buy a purple notebook?
7/25
7/32
3/16
11/32

Answers

Answer: 7/32

Step-by-step explanation:

Answer:

7/32

Step-by-step explanation:

i did the test and got it right

im so sleepy but i need help

Answers

Answer:

choice 2) y ≤ 1

Step-by-step explanation:

Answer: B I think!

Step-by-step explanation:

If the function rule is 5x, what is the value when x=4

Answers

20 will be the answer when x=4

What is the speed of a car that traveled a
total of 300 kilometers north in 2 hours?

Answers

Speed = Distance/Time

So, speed

= 300 km/2h

= 150km/h

= (150 × 1000m) / 3600s

= 150000m/3600s

= 41.66m/s [approximately]

Factor x^3 +5x^2- 24x

Answers

Step-by-step explanation:

(−3)(+8)

Subtract one-third from 8 times b

Answers

i think the answer is 1/3 from 8x 6 =-46.7 i think

PLEASE HELP ME DUE IN 3 MINUTES THIS IS MY GRADE ON THE LINE HELP MEEEEE

Answers

Answer:

7) is $1.70

8) is 8 miles per hour

9) is Store A is the better buy

10) is 222

11) is the area is 6

12) is the range is 14

8.)8 miles per hour

20 = 150

X = 60

20 x 60 = 150x

1200 = 150x

X = 8

9.)better buy number A

44.68 /16 = 2.7925

31.57 /11 = 2.87

11.) The area of this figure is 6

3 X 2 = 6

12) Range of the data set is 14

15 - 1 = 14

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