If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number?.

Answers

Answer 1

The value of y will be 18 or 144.

Given information:

The given expression is [tex]\sqrt[3]{\frac{144}{y} }[/tex].

It is required to find the values of y which are whole numbers.

Now, factorize 144 as,

[tex]144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3[/tex]

So, for the value of given expression to be a whole number, the value of y should be,

[tex]2\times3\times3=18[/tex] or 144.

For the above values of y, the given expression will be,

[tex]\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1[/tex]

Therefore, the value of y will be 18 or 144.

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Answer 2

Answer:

Its B. 2

Step-by-step explanation:

Edge


Related Questions

Please help fast
5. A mixture of paint is prepared by combining /2 parts of yellow paint with % parts
of blue paint. In the following table, find the missing values.
Parts of yellow paint
Parts of blue paint
Total parts
1/2
3/4
1 1/4
1
4 1/2
8

Answers

Answer:

I need helpw with this is too

Step-by-step explanation:

Cans of peas are on sale at 2 for $1.19 how much would 12 cans cost

Answers

Answer:uh 2 divide 1.19 and add 12 i think

Step-by-step explanation:

7.14 is the answer .........

Different cities have different sales tax rates. Here are the sales tax charges on the
same items in two different cities. Complete the tables.
City 1
total cost
item
price
(dollars)
sales tax
(dollars)
(dollars)
8.00
0.48
8.48
paper towels
25.00
1.50
lamp
1.00
pack of gum
laundry soap
12.00
х

Answers

Answer:

city 1

paper towels 8.00 0.48 8.48

lamp 25.00 1.50 26.50

pack of gum 1.00 0.06 1.06

laundry soap 12.00 0.72 12.72

46.00 2.76 48.76

city 2

paper towels 8.00 0.64 8.64

lamp 25.00 2.00 27.00

pack of gum 1.00 0.08 1.08

laundry soap 12.00 0.96 12.96

46.00 3.68 49.68

the side length of a square is n cm.

Answers

Answer:

  (c)  Alicia, Bart, and Diego's answers are equivalent

Step-by-step explanation:

The perimeter of a square is the sum of the side lengths

  n + n + n + n . . . . . Alicia's answer

  = (n +n) +(n +n) = 2n +2n . . . . . Diego's answer

  = (2 +2)n = 4n . . . . . . Bart's answer

Alicia, Bart, and Diego's answers are equivalent.

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer: 54 words does Rachel type per minute

Step-by-step explanation:

Rachel types 162 words in 3 minutes Rachel types at a constant rate.

We have to find how many words does Rachel type per minute.

By definition of unit rate: all we do is divide 162 by 3 which gives us 54

Answer:

54 words per minute

Step-by-step explanation:

In 3 minutes Rachel types 162 words

Then

In 1 minutes,Rachel types 162÷3 words

In 1 minutes Rachel types 54 words

.

. . Rachel types 54 words per minute

At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.

Answers

Capacity of tank be x

At end of journey the tank was half filled.

Hence x/2 filled

Now used percentage is 30%

[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]

Now

added gasoline=8gallon

Expression:-

[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
Complete the table to determine the values of m and b.

Answers

Answer:

A

Step-by-step explanation:

What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.

Answers

4/3 • 5/3 = 20/9 divided by 2 = 10/9

If sixteen dried beans weigh one ounce, then how many dried beans wiring one pound

Answers

Answer:

96 dried beans will weigh one pound

16 beans in one ounce x 16 ounces in a pound = 256 beans total.

The perimeter of a rectangular piece of land is 280m. People divide the land into two small pieces: a square, a rectangle. The total perimeter of the two small plots is 390m. Calculate the area of ​​the original piece of land.

Answers

Step-by-step explanation:

Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m

Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m

If 4 small square flower bed of side length 1 m are made at center.

To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.

Perimeter of the rectangle = 2 × ( length + breadth )

= 2 × ( 25/2 + 26/5 )

= 2 × ( 177/10 )

= 177/5 m

= 35.4 m

Area of the rectangular land = Length × Breadth

= 25/2 × 26/5

= 5 × 13

= 65 m²

Area of a flower bed = side × side = 1 × 1 = 1 m²

Area of 4 flower bed= 4 × 1 = 4 m²

Area left in the land = 65 - 4 = 61 m²

Therefore, Perimeter of the land is 35.4 m

Area of land is 65 m²

Area of the land left after flower beds is 61 m²

The two parallel sides of a trapezium are 19.8 and 7.2 and its area is 135 cm²..find its height

Answers

Answer:

10cm

Step-by-step explanation:

the formula for an area of a trapezium:

[tex] \frac{(a + b) \times h}{2} = area[/tex]

where a and b are the parallel sides and h is the height. equating what we have:

[tex] \frac{(19.8 + 7.2) \times h}{2} = 135[/tex]

simplify the numerator by adding 19.8 and 7.2=27

[tex] \frac{27h}{2} = 135[/tex]

multiply both sides by 2

[tex]27h = 270[/tex]

divide both sides by 27

[tex]h = \frac{270}{27} = 10[/tex]

the height is 10cm

Need help on geometry TO PASS My Class so can you help please

Answers

Answer:

x=12

Step-by-step explanation:

since it is an equilateral triangle the angle r all the same the angle have to equal 60

Since it's a equilateral triangle.

[tex]\\ \sf\longmapsto 5x+5x+5x=180[/tex]

[tex]\\ \sf\longmapsto 15x=180[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

m<S=5x=60°

An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?

Answers

Percent of speed the machine increase is 20%

Given that;`

Number of ice cream produced before = 45

Number of ice cream produced after = 54

Find:

Percent of speed the machine increase

Computation:

Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before

Percent of speed the machine increase = [(54 - 45) / 45]100

Percent of speed the machine increase = [9 / 45]100

Percent of speed the machine increase = 20%

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Percent of speed the machine increase is 20%

What theorem can be used to prove that the two triangles are congruent?

SAS
AAS
SSS
ASA

Answers

SSS is my best answer.
The SSS Triangle Congruency Postulate.

The two triangles have corresponding, congruent sides. Side QR corresponds to and is congruent to MN as denoted by the single hash mark. Sides QS and MP are corresponding and congruent sides as denoted by the three hash marks. Sides RS and NP are corresponding, congruent sides as denoted by the two hash marks. Therefore, as the SSS postulate states, if three sides in one triangle are corresponding, congruent sides to another triangle, the two triangles are congruent. In both triangles, the three corresponding sides are congruent; therefore, the triangles are congruent.

How can you tell that x and y are NOT directly proportional? A) x is 0 when y is 0. B) y is getting farther away from x. C) x is increasing by the same amount. D) y is increasing by different amounts.
x y
0 0
1 3
2 5
3 9

Answers

Answer:

D) y is increasing by different amounts.

Answer:

d

Step-by-step explanation:

Can someone help me with this please

Answers

Answer:

  C) The difference between the 75th and 25th percentiles is 12 inches.

Step-by-step explanation:

The interquartile range is the length of the "box" in a "box and whisker" plot. One end is the 25th percentile, and the other end is the 75th percentile. It is the difference between the maximum and minimum of the middle 50% of the data.

For the baker's loaf-length data set, the interquartile range being 12 inches means the loaves in the 75th percentile are 12 inches longer than the loaves in the 25th percentile. This could be described by choice C.

What is the difference between log(x/y) and log(x)/log(y)?

Answers

Log(x/y)= x/y times log, log(x)/log(y)= log times x/log times y

Alicia is a nurse.

In 2016, she earned a monthly salary of £1750

In 2017, she was awarded a 2% pay increase on her monthly salary.

Given that in 2017 Alicia worked 45 hours per week for 48 weeks,

work out her average pay per hour for the year.







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- Answer is correct

- Answer is detailed


WILL NOT MARK BRAINLIEST IF:

-Contains links

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-Answer incorrect


(P.s: must be 2 answers pls)
Thanks

Answers

Answer:

See below

Step-by-step explanation:

2% increase on 1750=

1750 * 1.02 = 1785

1785 per month gives 1785 * 12 = 21420 per year.

Divide 21420 by 48 weeks = 446.25 per week

Divide 446.25 by 45 hours = 9.92 per hour

Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,

(100%+2%) of £1750

= 1.02 × £1750

= £1785 per month

Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,

Total Earning = 12 × £1785 = £21,420

As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be

Number of hours = 45 hours × 48 weeks = 2,160 hours

Now, the earnings per hour can be written as,

Earning per hours = £21,420/2,160 hours = £9.92/ hour

Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.

Learn more about Multiplication:

https://brainly.com/question/14059007

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The difference between total surface area and curved surface area of a hemisphere is 154 cm^2, find it's volume.​

Answers

Answer:

Surface area of a sphere=4πr

2

=154cm

2

⇒4×

7

22

r

2

=154cm

2

⇒r

2

=

4

154

×

22

7

⇒r

2

=

4

49

⇒r=

4

49

∴r=

2

7

=3.5cm

Volume of the sphere=

3

4

πr

3

=

3

4

×

7

22

×(3.5)

3

=

21

88

×42.875‬=179.67cm

3

answer this pleaseeeee

Answers

Answer:

Each goat gets 3 carrots and there are 4 extra carrots left

Step-by-step explanation:

5*3=15

OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.

5*3.8=19

Answer:

the answer is simple 3 remainder of 4

Step-by-step explanation:

so he had 5 goats and 19 carrots  

19/5=3.8 which mean 3 and 4  left

2(1+a) * 5(1+a)
help u u want to help or else continue helping

Answers

Step-by-step explanation:

We simply multiply what there is to multiply:

10(1+a)^2 = 10a^2 + 20a + 10

= (2+2a)*(5+5a)
=10+10a+10a+10a^2
=10+20a+10a^2

What are the steps to convert a number from standard notation to scientific notation​

Answers

Answer:

Step-by-step explanation:

Let's take 4200 as an example.

To convert 4200 into scientific notation, follow these steps:

- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10

- Since we moved the decimal to the left the exponent n is positive

n = 3

- Write in the scientific notation form, m × 10^n

= 4.2 × 10^3

Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.

The ground temperature at an airport is 14 °C. The temperature decreases by 62 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?​

Answers

Answer:

52°C

Step-by-step explanation:

Without using your calculator, work out 27 -
Give your answer as a fraction in its lowest terms.
You must show each step of your working.

Answers

Answer: So, 27 as a fraction would be 27/1 i guess? lol

Answer:

27/1 it's correct answer

.The quotient of 9.75 and a number is-6.5

Answers

Answer:

1.5

Step-by-step explanation:

Set uo an algabraic equation like so:

9.75/x=6.5

Solve by multiplying both sides by x

then you get 9.75=6.5x

Then you divide 6.5 on each side

x=1.5

Answer:

1.5

Step-by-step explanation:

9.75/5.5=1.5

Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether. Also, she must buy no less than 2 hotdogs. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.

Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.

Hence:

4x + 2y ≤ 30    (1)

x + y ≥ 9      (2)

Also:

x ≥ 2   (3)

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Find out more on inequality at: https://brainly.com/question/241541

The surface area of a box is 160 square inches. The length of the box is twice its width, and is 4 inches less than its height. What is the height of the box, in inches?

Answers

the height of the box is 9 inches

Answer:

solution given:

total surface area of a box=160 square inches

let length, width, and height be l,b, and h respectively.

according to the question:

l=2b

∴b =[tex]\frac{l}{2}[/tex]

l=h-4

∴ h=l+4

we have

total surface area of a box=160 square inches

2(lb+lh+bh)=160

[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]

[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]

[tex]4l^2+12l=160[/tex]

[tex]4(l^2+3l)=160[/tex]

[tex]l^2+3l=\frac{160}{4}[/tex]

[tex]l^2+3l-40=0[/tex]

doing middle term factorization

[tex]l^2+(8-5}l-40=0[/tex]

[tex]l^2+8l-5l-40=0[/tex]

taking common from each two terms

l(l+8)-5(l+8)=0

(l+8)(l-5)=0

either

l=-8[neglected as length is always positive]

or

l=5

now

b=[tex]\frac{5}{2} =2.5[/tex]

h=5+4=9

Step-by-step explanation:

I need these answers in 5 MINUTES PLZ HELP

Answers

Answer:

30? I might be wrong soooo

Step-by-step explanation:

15*2=30

The figure below shows a rectangular prism and a cube:

A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 4 inches, the width is 3 over 4 inch, and its height is 1 and 2 over 4 inches. The cube has a side length of 1 over 4 inch.

How many such cubes are required to completely pack the prism without any gap or overlap?
choices:
288
576
1,152
1,636

Answers

800 cubes is ur answer

Answer:

576

Step-by-step explanation:

find the volume and then divide by the cube

Help me please this is due in 3 hour's​

Answers

485, because the mean means you need to calculate the average. to find the average, you take the smallest number from the data set and the largest number. add the largest number by the smallest number and divide by the set of numbers you added (2). Example: (720+250=970 divided by 2 =485)
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