7. Phozia has three pieces of rope with lengths of 160 cm, 192 cm and
240 cm respectively. She wishes to cut all three pieces of rope into
shorter pieces of equal length so that there is no left over rope.
(a) What is the largest possible length of each of the shorter pieces of
rope?
(b) How many shorter pieces of rope can she get altogether?​

Answers

Answer 1

Answer:

a) 16 cm, b) 37 pieces

Step-by-step explanation:

Part a

Finding the largest divisor of 160, 192 and 240

160 divisors: 1, 2, 4, 5, 8, 10, 16, 32, 40, 80 and 160.

// You can alternatively find them by factor pairs, which are (1, 160), (2, 80), (4, 40), (5, 32), (8, 20) & (10, 16). This way is much more faster. Also, you can simply search them in metanumbers.com

192 divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96 and 192

240 divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240

The largest divider that they all have in common is 16.

So 16 cm is the largest possible length of each of the shorter pieces of

rope

Part b

Now we have to count how many 16 cm pieces of rope can we get from the large rope pieces, which lengths are 160 cm, 192 cm and 240 cm

160/16 + 192/16 + 240/16 = 10 + 12 + 15 = 37

The answer is 37 pieces


Related Questions

8 ÷ one third = ___. one twenty fourth alt=twenty four twenty fourths 24 48

Answers

Answer:

Twenty four (24)

Step-by-step explanation:

8 ÷ one third

one third = 1/3

8 ÷ 1/3

= 8 × 3/1

= 24/1

= 24

The value of 2^3 + 3^3 = .

Answers

Answer: (2^3) +  3^3

2^3 +  3^3

35

Step-by-step explanation:

you most likely just have to add 8 and 27 together im guessing

I need help plz ❤️️️

Answers

Answer:

x= 273

Step-by-step explanation:

Answer:

273

Step-by-step explanation:

3549/13=23

(Hope this helps u and u get it correct!)

-AestheticSnowy

11. The coordinate grid shows points P, Q, R, and S. All the coordinates for these points
are integers.


What is the value of the x-coordinate of point P?

Answers

Answer:

-6

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

PLEASE HELP MATH MIDTERM
Find the measure of angle A. Round only your final answer to the nearest hundredth.

Answers

Answer:

73.74 degrees

Step-by-step explanation:

work out yhe value of 6.105×10^8/3.7×10^3 give your answer in standard form​

Answers

1.65 x 10^11

Hope this helps

Please please help!! I really need help on this question

Answers

Answer:

They purchased 20 ounces of candy total

Step-by-step explanation:

just add 12 + 8

=20 ounces

What is the surface area of the solid...?​

Answers

580 square units !!
hope this helps you :))

ASAP!!!! HELP!!!! Will mark you brainliest

Answers

Answer:

f(1) = 2

Step-by-step explanation:

Since f(x) = x^4 + 4 x^3 + 5 x^2 - 4 x - 4

When we evaluate this for x = k = 1, we replace x with the value 1 as shown below:

f(1) = 1^4 + 4 * 1^3 + 5 * 1^2 - 4 * 1 - 4 = 1  + 4 + 5 - 4 - 4 = 10 - 8 = 2

The difference of sixteen and four is greater than ten






Write the sentence as an equation

Answers

16-4>10

Difference means subtracting

Write
360 000 in standard form.​

Answers

Answer:

300 + 60 + 000

Step-by-step explanation:

Just break these up easy answer. Your welcome :)

A jar contains n nickels and d dimes. There are 22 coins in the jar and a total value of the coins is $1.50. How many nickels and how many dimes are in the jar?

Answers

Answer:

1.50 + 22

Step-by-step explanation:

23.5

Answer:

12 nickels. 9 dimes

Step-by-step explanation:

12 nickels is equal to 60 cents

9 dimes equals 90 cents

90 plus 60 equals 150 which is $1.50

Fill in the blanks. See picture and give answers please as quickly as possible.

Answers

Concave down
Max is 4
Vertex is (1,4)
Axis of symmetry is x=1
Y intercept is 3

A letter home to the parents of seniors at Westgate High School says, "a simple random sample of 30 Westgate seniors that took the SAT-M test this year produced a mean of 512 and a standard deviation of 95. A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is Group of answer choices

Answers

Answer:

It's 99%

Step-by-step explanation:

It just is.

A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is 99%. The correct option is D.

What is the percentage?

The percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Divide the amount by the total value to get the percentage, then multiply the resulting number by 100.

Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Therefore, the correct option is D, 99%.

To learn more about percentages, refer to the link:

https://brainly.com/question/28269290

#SPJ5

The question is incomplete. Your most probably complete question is given below:

90%

92%

95%

99%

over 99.9%

Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select b. With = 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select c. With = 51.8, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select

Answers

Answer:

Part a:

The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.

Part b:

The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.

Part c:

The calculate value of Z = 2.1213  lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.

Step-by-step explanation:

Data as given

H 0: μ ≤ 50 against the claim H a:  μ> 50  one tailed test

Z (0.05)= ± 1.645

Sample size n= 50

Using the central limit theorem

Population Standard Deviation= σ=s=6

X= 52.5 , 51 and 51.8

Part a:

Z= x-μ/ s/ √n

Z= 52.5- 50 / 6/ √50

Z= 2.5/0.84853

z= 2.946

The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.

Part b:

Z= x-μ/ s/ √n

Z= 51- 50 / 6/ √50

Z= 1/0.84853

z= 1.17851

The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.

Part c:

Z= x-μ/ s/ √n

Z= 51.8- 50 / 6/ √50

Z= 1.8/0.84853

z= 2.1213

The calculate value of Z = 2.1213  lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.

what's 2 + 2?
plzzzzzz help​

Answers

Answer:

4 ;)

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

What is the percent of change of 14 to 10, rounded to the nearest 10th of a percent

Answers

Answer:

jnjnj

Step-by-step explanation:

yes

j jlnjknjkl.n

njn

jnjnjnjn

A. 504 units(squared)

B. 436,8 units(squared)

C. 218 units(squared)

D. 283,2 units(squared)

Answers

Answer:

D. 283.2 units²

Step-by-step explanation:

Surface area of the triangular prism = 2×Base Area + Perimeter of triangular base×height of prism

Base Area = ½*bh

b = 6 km

h = 5.2 km

Base area = ½*6*5.2 = 15.6 km²

Perimeter of triangular base = 6+6+6 = 18 km

Height of prism = 14 km

Plug in the values into the equation

Surface area of triangular prism = 2×15.6 + 18×14

= 31.2 + 252

= 283.2 km²

what do i do with this

Answers

Answer: you should plot it a -3.2

Step-by-step explanation:

Which figure best represents a rhombus?

Answers

Answer:

it's the second one a rhombus is a diamond

It’s the first one I believe

The equation of a function is
y = 12x - 7. What is the output when the input is 5?

A. 50
B. 53
C. 56
D. 60

Answers

the answer is B. 53
12 times 5 then sub 7
hope it helps
the answer is D
hope this helped

What is the value of -5 4/5 + 7 1/3 write your answer as an improper fraction

Answers

Answer:

[tex]\frac{193}{15}[/tex]

Step-by-step explanation:

Here

Somebody please help pleaseeeee I’ll make brainlest please help anybody .

Answers

Answer:

C Is The Correct Answer

The correct answer would be C :)

(5.25) An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree days, where a day's degree-days are the number of degrees its average temperature falls below 65 degrees F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be

Answers

This question is incomplete, the complete question is;

An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used  y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65oF) over a 23-month period.

He then computed the least-squares regression line for predicting y from x and found it to be:   y^=80+16x.  

How much, on average, does gas used increase for each additional degree-day?

Answer : ______ cubic feet.

(Give your answer as a whole number.)

Answer:

Amount of natural gas used increased by 19 cubic feet.

Step-by-step explanation:

Given the data in the question;

Let the dependent variable y be the amount of natural gas used ( ft³ )

Also let an independent variable x be be the degree days temperature ( in °F)

So the least squares regression equation is;

[tex]y^{bar}[/tex] = 80 + 16x

or

amount_of_natural_gas_used = 80 + 16(degree_days_temperature

Th slope or the standardized regression coefficient of the given regression equation is;

b₁ = 16

the slope coefficient b₁ = 16 is tells us that for each additional one-degree days temperature, an amount of natural gas used increased by 19 cubic feet.

Therefore, amount of natural gas used increased by 19 cubic feet.

help pls i'll give brainliest, are they inverses or not explain why or why not

Answers

Is that algebra,????????

2. What is the
meaning of the
slope in this
situation?

Answers

Answer: The value of the intercept represents the predicted highway mileage for gas city mileage of 0 mpg, and such a prediction would be invalid, since 0 is outside of the range of data.

Step-by-step explanation:

Answer:

The meaning of slope is like the middle number.

The solving equation for the slope is

y2-y1 and x2-x1

Step-by-step explanation:

. The scatterplot shows the time spent playing a video game and the number of points scored by several students. Video Game 1,350 1,200 1,050 900 Number of Points Scored 750 600 450 300 150 0 5 10 15 20 25 30 35 40 45 Time (minutes) Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?​

Answers

Answer:

c is the answer

Step-by-step explanation:

is the not maybe

Using your answer from #3, how many hours will
Victoria need to babysit if she raises her hourly
charge to $15 per hour and she still wants to
earn at least $75?

Answers

Answer:

5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75

I don’t know what the answer from number three was, but 75÷15 = 5 hours

How many square feet of outdoor carpet will
we need for this hole?
?
6 ft
2 ft
2 ft
3 ft)
5 ft
3 ft)
12 ft
Please

Answers

Answer:48 ft to the second power

Step-by-step explanation:

I just got it right on iready

The area of the outdoor carpet that needed for the hole should be considered as the  48 ft².

Calculation of the area:

Since

we know that

Area of the rectangle = Length (breadth)

here,

L = 12 ft

b =  5 ft

So,

area = 12 × 5  

= 60 ft²

Now

The cut off triangle area

area = 1/2 × base × height

= 1/2 × 4 × 3

= 12/2

= 6 ft²

Now

The cut off rectangle area should be

area = Lb

= 3 × 2

= 6 ft²

Now finally

The area of the outdoor carpet should be

= 60 - 6 - 6

= 48 ft²

learn more about an area here: https://brainly.com/question/17971267

20 POINTS
look at the rectangle below. the sum of the measures of the 3 interior angles of any triangle is always 180° . What is the measure of A - 30°
B - 45°
C - 60°
D - 120°

Answers

Answer: i think its 30°

Step-by-step explanation:

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