Mathematics Middle School

17. Nils swam a total of 6.48 km in three days. He swam 0.720 km longer on Day 2 than on Day 1. The distance he swam on Day 3 was 3 times the distance he swam on Day 2. How many kilometers did he swim on Day 3?

Answers

Answer 1

Answer:

21.6 km

Step-by-step explanation:

distance swam on day 2: 6.48+0.720 = 7.2 km

distance swam on day 3: 7.2*3 = 21.6 km

Answer 2

Let x = Day 1
Day 2 = x + 0.72
Day 3 = (x + 0.72)(3)
Total km = 6.48 km
6.48 = x + (x + 0.72) + ((x + 0.72)(3))
6.48 = x + x + 0.72 + 3x + 2.16
6.48 - 2.16 - 0.72 = 5x
5x = 3.6
x = 0.72
Day 3:
(x + 0.72)(3)
(0.72 + 0.72)(3)
(1.44)(3)
4.32
Nils swam 4.32 km on Day 3.

Related Questions

I NEED HELP PLEASE VERY URGENT
3x+2y=255
2x+3y=285
What is x and what is y?
I WILL MARK BRAINLIEST TO FIRST WHO ANSWERS PROPERLY

Answers

(X,Y)=(39,69) is the answer

X= 39
Y= 69

When you plug these variables in each equation - the equation is true.

PLEASE HELP!!!!!
The lengths of the sides of triangle ABC are consecutive whole numbers. The median from angle A is perpendicular to the angle bisector of ∠B. Find the lengths of the sides of the triangle.

Answers

The answer is 3 units from the sides of the triangle

I got that the answer is three units

PLEASE HELP!!!!
EXPLANATION+ANSWER PLEASE!!!
In triangle ABC, AB=BC, AC=10cm. From point D, which is in the middle of AB, perpendicular bisector DE is drawn to side BC and intersects it at point E. A segment is then drawn from E to A. The perimeter of triangle ABC is equal to 40 cm. Find the perimeter of △AEC.

Answers

Answer:

Step-by-step explanation:

Whd d ise sidd d djdkdd

In triangle ABC, AB=BC, AC=10cm. From point D, which is in the middle of AB, perpendicular bisector DE is drawn to side BC and intersects it at point E. A segment is then drawn from E to A. The perimeter of triangle ABC is equal to 40 cm. Find the perimeter of △AEC.

Answers

Answer:

Step-by-step explanation:

We are given that the perpendicular bisector of side AB of ∆ABC intersects side BC at point D.

this means that side AE=BE.

Also, we could clear; ly observe that

ΔBED≅ΔAED

( since AE=BE, side ED common, ∠BED=∠AED

so by SAS congruency, the two triangles are congruent)

Now we are given that:

the perimeter of ∆ABC is 12 cm larger than the perimeter of ∆ACD.

i.e. AB+AC+BC=AC+AD+CD+12

AB+BC=AD+CD+12

as AD=BD

this means that AD+CD=BD+CD=BC

AB+BC=BC+12

AB=12

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The perimeter of 40 cm. and lengths of two sides of ∆ABC where side AC is 10 cm gives;

The perimeter of ∆AEC is 25 centimeters

How can the perimeter of the formed ∆AEC be found?

Given:

AB = BC

AC = 10 cm.

The perimeter of ∆ABC = 40 cm.

Therefore;

∆ABC is an isosceles triangle

AB + BC + AC = 40

AB + AB + 10 = 40 by substitution property of equality

2 × AB = 40 - 10 = 30

AB = 30 ÷ 2 = 15

AB = BC = 15 cm.

Using the rule of cosines, we have;

10² = 15² + 15² - 2×15×15 × cos(A)

cos(A) = (15² + 15² - 10²) ÷ (2×15×15)

A = arccos (350 ÷ 450) ≈ 51.06°

<BED ≈ 180° - (90° + 51.06°) = 38.94°

DB = AB ÷ 2

Therefore;

DB = 15 ÷ 2 = 7.5

From the rule of sines, we have;

DE/sin(51.06°) = 7.5/sin(38.94°)

DE = 7.5/sin(38.94°) × sin(51.06°) ≈ 9.28

According to Pythagorean theorem, we have;

BE ≈ √(7.5² + 9.28²) ≈ 11.93

Similarly, we have;

AE ≈ √(7.5² + 9.28²) ≈ 11.93

EC ≈ 15 - 11.93 = 3.068

Perimeter of ∆AEC = AE + EC + AC

Which gives;

The perimeter of ∆AEC = 11.93 + 3.068 + 10 ≈ 25

The perimeter of ∆AEC = 25 cm

Learn more about the rule of sines and cosines here:

https://brainly.com/question/4372174

#SPJ1

8. MAGAZINES You want to compare the number of words per sentence in a sports magazine to the number of words per sentence in a political magazine.
a. The data represent random samples of 10 sentences in each magazine. Compare the samples using measures of center and variation. Can you use this to make a valid comparison about the magazines? Explain.
Sports magazine: 9, 21, 15, 14, 25, 26, 9, 19, 22, 30 Political magazine: 31, 22, 17, 5, 23, 15, 10, 20, 20, 17

Answers

Answer:

I also don't know so I am sorry I need point

Answer:

On comparing the center i.e. mean we get that the sports magazine 19 uses more words than a political magazine 18 but they are almost the same because their difference is only 1. The variance of sports magazines 5.8 is greater than the variance of political magazines 5.2. We cannot use this to make a valid comparison about the magazines to a magazine the content matters or maybe the number of readers matters not the number of word count.

Step-by-step explanation:

Given: The number of words per sentence in a sports magazine to the number of words per sentence in a political magazine. The data represent random samples of 10 sentences in each magazine.

Sports magazine [tex]$$9,21,15,14,25,26,9,19,22,30$$[/tex].

Political magazine [tex]$$31,22,17,5,23,15,10,20,20,17$$[/tex].

To compare the samples using measures of center and variation.

Find the mean of both the data and compare them.Find the variance of both the data and compare them.

Step 1 of 2

The mean of the words of sports magazine is [tex]\begin{aligned}(9+21+15+14+25+&26+9+19+22+30) \times \frac{1}{10} \\&=\frac{190}{10} \\&=19\end{aligned}[/tex]

The mean of the words of the political magazine is [tex]\begin{aligned}&(31+22+17+5+23+15+10+20+20+17) \times \frac{1}{10}\\&=\frac{180}{10}\\&=18\end{aligned}[/tex]

On comparing the center i.e. mean we get that the sports magazine uses more words than a political magazine.

Step 2 of 2

Variation of sports magazine is [tex]=\frac{1}{10}\times(|19-9|+|19-21|+|19-15|+|19-14|+|19-25|+|19-26|+|19-9|+|19-19|+|19-22|+|19-30|)$$\\ $$=\frac{1}{10}\times(10+2+4+5+6+7+10+0+3+11)$$\\$$=\frac{1}{10}\times58$$\\$$=5.8$$[/tex]Variation of the political magazine is \end{tabular}

[tex]=\frac{1}{10}\times(|18-31|+|18-22|+|18-17|+|18-5|+|18-23|+|18-15|+|18-10|+|18-20|+|18-20|+|18-17|)$$\\ $$=\frac{1}{10}\times(13+4+1+13+5+3+8+2+2+1)$$\\ $$=\frac{52}{10}$$\\ $$=5.2$$[/tex]

The variance of sports magazines is greater than the variance of political magazines.

We cannot use this to make a valid comparison about the magazines to a magazine the content matters or maybe the number of readers matters not the number of word count.

Simplify.
(x + 1) x 2

Answers

The answer is 2x + 2

Answer:

2x+2

Step-by-step explanation:

Open the bracket and multiply all terms in the bracket with the term out side the bracket

2*x +2*1

=2x+2

Hope it help

36. MULTIPLE CHOICE What is the solution of 2n - 4 > - 12? (Section 4.4) A. n < -10
B. n < -4
C. n > -2 D. n > -4

Answers

Answer:

D. n > -4

Step-by-step explanation:

2n - 4 > -12

2n > -8

n > -4

for it to be :
D.) N>-4
you would have to do it step by step:
2n-4>-12
then-
2n>-8
then lastly-
n>-4

what is x + 5 < 6 ? PLEASE HELP!! WILL GIVE 15 POINTS

Answers

what are you meaning for the “<“ to symbolize?

Answer:

x < 1

Explanation:

→ x + 5 < 6

subtract both sides by 5

→ x + 5 - 5 < 6 - 5

simplify the following

→ x < 1

19. Ken bought 8 markers and 20 pens. Each marker cost $2.45. He gave the cashier $100 and received $26 change. What was the cost of each pen?

Answers

Answer:
$2.28
Explanation:
2.45 multiplied by 8 is 19.6, 19.6 plus 26 is 45.6. 45.6 divided by 20 is 2.28

Answer:

Each pen costs $2.72

Step-by-step explanation:

100 - 26 = $74 spent total

8 x 2.45 = $19.60 spent on markers

74 - 19.60 = $54.40 spent on pens

54.40/20 = $2.72 per pen

Can someone help please!!

Answers

Answer:

its B

Step-by-step explanation:

because if you flip e to the other side of the y-axis you'll get (2,4) and do the same with the letters and that's your answer.

Answer:

B. C'(3 , 0) , D'(7 , 1) , E'(2 , 4)

Step-by-step explanation:

reflecting the point A(x , y) across the y-axis gives us the point A'(-x , y)

Then

The image of E(-2 , 4) is E'(2 , 4)

The image of C(-3 , 0) is C'(3 , 0)

The image of D(-7 , 1) is D'(7 , 1)

Therefore

The correct answer is option B.

17. A chef mixed 4.85 lb of white rice with twice as many pounds of brown rice. She then cooked half the amount of the mixed rice. How many pounds of mixed rice did she cook? Give your answer correct to 2 decimal places.

Answers

---------------------------------------︵‿︵‿୨♡୧‿︵‿︵--------------------------------------

Answer:

14.55 lb

Step-by-step explanation:

Brown rice: 4.85 x 2 = 9.7 lb

Pounds of rice the chef cooked: 9.7 + 485 = 14.55

--------------------°✧° Pls mark me as °♡°(ꂧ ꁞ ꂧ)°♡° Brainliest °✧°--------------------

Answer: 7.275lbs

Explanation:
4.85x3 because one of white rice and double the brown rice
then you take that answer which is 14.55 and divide by 2 because she only cooked half the rice which gives you 7.275lbs.

Circle the correct option: A, B, C, or D.

4. Which of the following is equal to 1.5 kg?

A 150 g
B 15 g
C 1.5 g
D 1,500 g

Answers

Answer:

Option D

Step-by-step explanation:

1kg =1000g1.5kg = 1000 x 1.5 = 1,500g

Hope this helps.

Good luck ✅.

1,500g it’s the answer cuz i’m smart

PLEASEEEEE:
Determine whether it’s a change in increase or decrease then find the person, make sure to ROUND to nearest whole percent:
ALSO THE ANSWER IS NOT 182%

1994 cost: $171.33 and 1995 cost: $201.59

Answers

Answer: It's 18%

Step-by-step explanation:

Answer:

118% so it is 18 %

Step-by-step explanation:

50. MULTIPLE CHOICE Ham costs $4.48 per pound. Cheese costs $6.36 per pound. You buy 1.5 pounds of ham and 0.75 pound of cheese. How much more do you pay for the ham? (Skills Review Handbook) A. $1.41 B. $1.95 C. $4.77 D. $6.18

Answers

The answer is B. 1.95

The answer is B:1.95

Simplify the expression. (Section 3.1) 47. 5 + 3.2n - 6 - 4.8n

Answers

Answer: -1-1.6n

Step-by-step explanation:

To simplify this expression, we combine the number terms, 5 and -6, to get -1. Then we combine the terms with n, to get -1.6n.

Our final answer is -1-1.6n

combine the like terms

Please answer correctly and answer all 2 QUESTIONS!

IF you don't know the answer DON'T answer!!

I will mark brainliest so hurry up and get your 60 points ! ty

Answers

Answer:

check explanation

Step-by-step explanation:

The first one is (x+5, y-3) because the shape has moved 5 points to the right and 3 points down

For the second one, basically, you need to take the shape and move it two grid points to the right and four squares down

Hope this helps

1: right five down three

1 ACTIVITY: Estimating a Part
Work with a partner. Use a model to estimate the answer to each question.
d. What number is 6% of 30?

Answers

Answer:

1.8

Step-by-step explanation:

to find any percent of a number, multiply that number by the percent x.(the percentage is x/100 since percents are just fractions with a hidden denominator of 100), and 30*(6/100) is 18/10, which is just 1.8.

What number is 6% of 30?
Answer: 1.8

Answers for #36,#38,#44,#48. thank you. please asap i need it for hw.

Answers

#36 is A # 38 I C #44 is D and # 48 is A

okay thank you so much

Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.

Answers

The correct answer would be 200 miles. If 30 miles represented 3/5ths of an inch, then 72, 50, and 18 miles would all be too small.
For example 72 miles would only represent a little over an inch, so 200 miles would be the only possibility.

Here’s the work. Hope this helps

HELPPPPP: Garret drove 432 miles on 18 gallons of gas. Derrick drove 364 miles on 14 gallons of gas. Who has the better gas mileage?

Answers

Answer:

Derrick would be your answer.

it would be Derrick.

1.Is 4/5 equivalent to 32/45?

2.Is 7/8 equivalent to 28/32?

3.Is 1/10 equivalent to 30/100?

4.Is 6/8 equivalent to 24/32?

5.Is 5/8 equivalent to 30/70?

6.Is 2/3 equivalent to 24/100?

7.Is 2/10 equivalent to 30/60?

8.Is 1/5 equivalent to 20/100?

9.Is 5/6 equivalent to 20/30?

10.Is 3/4 equivalent to 45/70?

Answers

When comparing fractions, you can multiply or divide to find equivalent fractions.

Number 1: If I were to multiply 5 to 45, I would have to do the same to the numerator of the fraction. 45/5 = 9. So we know now that 5 times 9 equals 45. Lets do that to the numerator also. 4 times 9 equals 36 so 4/5 times nine is 32/45.

So yes, this would be equivalent.

Number 2: 7/8 times 4 equals 28/32

Yes, this would be equivalent.

Number 3: 10 times 10 is 100, 1 times ten is NOT 30.