what fraction of 60 is 45?

Answers

Answer 1

Hi Ebiffy,

What fraction of 60 is 45 ?

45 / 60 = (15 x 3) / (15 x 4) = 3 / 4

Related Questions

To join a fitness club there is a $30 joiner fee and a $12 monthly fee. Write an equation in slope intercept form that models this situation.

Answers

y=12x+30

I think this is correct. But please don't hold me to it:) Hope I helped!

You are having a discussion about sequences with your classmate. She insists the the sequence 2,3,5,8,12 must be either arithmatic or geometric. Is she correct or incorrect? Explain.

Answers

The sequence is, in fact, quadratic. It is described by the equation
.. a[n] = (n*(n -1))/2 +2

First differences are increasing, so the sequence will not be arithmetic. An arithmetic sequence has constant first differences.

Second differences are constant, so the sequence will not be geometric. A geometric sequence will have first-, second-, third-differences, and those to any level, that have the same constant ratio as the terms of the original sequence.

Dennis is thinking of two number. The only common factors of the number are 1 and 3.Thier first common multiple is 18.One of the number is 9. What is the other number?

Answers

The other Number would be 6 due to the fact that since 1 of them is 9, you eliminate the numbers 18, 9, and 3, since they wouldn't meet the qualifications. Therefor, it must be 6 to have common factors 3 and 1, and the LCM ( Least Common Multiple ) will be 18

Final answer:

Dennis's other number, considering the conditions of only having 1 and 3 as common factors and 18 as the least common multiple with 9, is 6.

Explanation:

To solve the problem regarding Dennis's numbers, it's crucial to understand the conditions provided: the numbers only share common factors of 1 and 3, one of the numbers is 9, and their first common multiple is 18. To find the other number, knowing one of the numbers allows us to apply the rule of least common multiples (LCM). Since 9's factors are 1, 3, and 9, and the LCM with the other number is 18, this other number must be divisible by itself and 3 but not be a multiple of 9 to maintain the unique common factors condition. The only number that satisfies the condition in which 18 is the LCM and shares only 1 and 3 as common factors with 9, would be 6, since 18 is the smallest number that both 9 and 6 can divide into without other common multiples.

The volume of a cone is 471.24 cubic inches and the height is 8 inches. What is the diameter

Answers

The volume of a cone is V = 1/3 pi r^2 h
h = 8
pi = 3.14
V =471.24
r = ???
d = ???

471.24 = 3.14 * 8 * r^2
471.24 = 25.12 * r^2
471.24 / 25.12 = r^2
18.76 = r^2
r = sqrt(18.76)
r = 4.312

The diameter is 2*4.312 = 4.624 in. <<<<<==== answer.

Chick fil a prints out a free sandwich coupon receipt every 7 receipts. What is the probability of not getting a coupon receipt

Answers

The probability of getting a coupon is 1 in 7, or 1/7, so the probability of not getting one is 6/7.

Hope this helps!

If a population of 100 cells triples every hour, which function represents p(t), the population after t hours?

Answers

Exponential functions are in the form [tex]f(x)=a*b^x[/tex], where a is the initial value, b is the growth rate (percent increase) + 1, and x is the number of time periods. Our initial value is 100, and we're given the growth rate + 1 (tripling is the same as increasing by 200%; 200%=2.0; 2.0+1=3). Therefore our function is [tex]p(t)=100*3^t[/tex].

Final answer:

The function that describes a cell population of 100 cells tripling every hour is stated by the formula p(t) = 100(3)^t, which represents exponential growth.

Explanation:

This problem describes a phenomenon where the initial population experiences exponential growth in a way that it triples every hour. Exponential growth is typically represented by the function p(t) = p⁰×r^t, where:

- p(t) represents the final amount of entities (in this case, population) after time t,
- p0 is the initial amount of entities (in this case, initial population),
- r is the growth factor,
- and t is time.

In these types of problems, the base number of the exponent (in this case 3) represents the growth factor. This is based on the fact that every time period (in this case, every hour), the population triples, or in other words, gets multiplied by 3.

The initial population given is 100 cells. This is represented by p0 in our formula and is also the coefficient in our function.

By considering both the initial population and the rate at which it triples, we can construct the function as p(t) = 100 × 3^t.

Therefore, according to our built function, the correct choice is b. p(t) = 100 × 3^t.

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Question:

If a population of 100 cells triples every hour, which function represents p(t), the population after t hours?

a. p(t)=3(100)^t

b. p(t)=100(3)^t

c. p(t)=3t+100

d. p(t)=100t+3

Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(7.5, 4.5) , B′(4.5, 10.5) , and C′(1.5, 6) . The center of dilation is the origin.

What is the scale factor of the dilation?

Answers

Hello,

To find the scale factor, we have to look at what's going on in the problem.

In point A, we are converting from (5, 3) to (7.5, 4.5).

We can write and solve equation to find the change (scale factor)

5x = 7.5 and 3x = 4.5

If you solve either equation, you will find the scale factor is 1.5.

Good luck,
MrEQ

Answer:

3/2

Step-by-step explanation

jackie says that if a solid figure cannot roll,then it has faces.is jackie correct?

Answers

Yes Jackie is correct

Answer:

Yes, Jackie's answer would be correct

Wolfgang wants to enlarge a picture he developed. Which factor listed below would scale up (enlarge) his picture the most if he used it to multiply its current dimensions? 7/8 14/14 1 4/9 3/2

Answers

Final answer:

The factor that would scale up Wolfgang's picture the most is 1 4/9.

Explanation:

The factor that would scale up Wolfgang's picture the most is 1 4/9.

To find the scale factor, we compare the given factors: 7/8, 14/14, 1 4/9, and 3/2.

Out of these options, 1 4/9 would enlarge the picture the most when used to multiply its current dimensions.

Taxicabs downtown charge a flat fee of $2.50, plus a state tax of $0.50, plus $0.50 for each 1/5 mile they travel with a passenger.

Explain how you would write 1/5 mile as a fraction with 10 in the denominator, a fraction with 100 in the denominator, and as a decimal.

Answers

It Would Be 2/10, 20/100, .20

Final answer:

To convert 1/5 mile to other forms, it can be represented as 2/10 when the denominator is 10, 20/100 when the denominator is 100, and 0.2 as a decimal.

Explanation:

To convert 1/5 mile into a fraction with 10 in the denominator, multiply both the numerator and the denominator by 2 to get 2/10. To get a fraction with 100 in the denominator, multiply both the numerator and the denominator of 1/5 by 20 to get 20/100. As a decimal, 1/5 is equivalent to 0.2 because 1 divided by 5 equals 0.2.

the jacksons went camping in a state park.One of the tents they took is shown . What is the volume of the tent.

Answers

Final answer:

The volume of the Jacksons' camping tent is 94.5 cubic feet. To calculate the volume, you multiply the dimensions: height (3.5 ft) by length (6 ft) by width (4.5 ft).

Explanation:

The formula for calculating the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

The length (l) of the tent is 6 feet, the width (w) is 4.5 feet, and the height (h) is 3.5 feet.Substitute these values into the formula: V = 6 ft * 4.5 ft * 3.5 ft.Multiply the values together: V = 94.5 cubic feet.

The volume of the tent is determined by multiplying its length, width, and height. In this instance, the Jacksons' tent has a volume of 94.5 cubic feet, providing ample space for their camping needs. Understanding the volume of a three-dimensional object is essential for assessing its capacity and ensuring it meets the requirements of its intended use.

Complete Question:

The Jacksons went camping in a state park. One of the tents they took is shown, tent size in the attached picture 3.5 ft high, 6 ft long and 4.5 ft wide. What is the volume of the tent?

Rewrite 3x + 4y = 10 using function notation.

Answers

f(x) is a way of writing the output of a function, also known as the dependent variable. You are probably used to seeing y in this place, but all you're doing is replacing y with f(x).

[tex]3x+4y=10 \\ 4y=-3x+10 \\ y = \frac{-3}{4}x+ \frac{5}{2} \\ \\ f(x) = \frac{-3}{4}x+ \frac{5}{2} [/tex]

An 8-foot piece of pipe is cut into 1/3 foot sections. How many sections of pipe are there?
A) 20
B) 24
C) 30
D) 36

Answers

if you cut an 8 foot pipe into 1/3 foot sections that would be B. 24 sections of 4" pipe

B) I hope this helped:)

which numbers are rational? select all that apply. A. pi B. √50 C. 2.3 D. √144

Answers

C. 2.3
D.√144

Rational roots or decimals are numbers that have an end point.

pi 'technically' never ends, while √50 = 7.07106781…, which never ends either

hope this helps

Answer:

C and D

Step-by-step explanation:

2.3 (repeating) repeats itself over and over again into infinity.

pi goes on into infinity.

A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quilt?

Answers

P = 2L + 2W
L = 7
W = 5
P= ???
P = 2*7 + 2*5
P = 14 + 10
P = 24 feet of lace.

The rectangular quilt has length 7 feet and width as 5 feet.

In order to find the perimeter, we have this formula:

[tex] P = 2(l+w) [/tex]

Plugging these values in the formula:

[tex] P = 2(7+5) [/tex]

Perimeter = 24 feet.

So 24 feet of lace are needed to cover the edges of the quilt.

Tymere says that 7/10 × 7/10 equals 49/10. Which of the statements below is true?

Answers

The answer would be the second option because 49/10 is equal to 4 9/10 which is greater than 7/10

Kevin is making a picture frame. He has. Piece of trim that is 4 feet long. How many 14-inch-long pieces can Kevin cut from the trim? How much of a foot will he have left over ————
Pls explain how u got the answer

Answers

hello

First, convert 4 feet into inches - 48 inches. Then, divide 48 by 14 to get 3.43, so he can have 3 14-inch long pieces. To get the left over out of a foot, take 14 x 3 to get 42, then subtract 42 from your original 48 inches to get 6 inches left, which is half of a foot.
have a nice day

4 times 12 (12 inches in foot)
48 divided by 14
3.42...... so 3 sections of 14
42% of 12 is 5.16 so there will be 5 inches left over

Find x and y, given that line KL and line MN are parallel. Please show how you got your answer.

Answers

Answers:
x = 19/2 = 9.5
y = 44/3 = 14.667
The decimal value of y is approximate

-----------------------------------------------------

The triangles are similar. So the corresponding sides form a proportion

KM/KJ = LN/LJ
(x-2)/5 = 12/8
8(x-2) = 5*12
8x-16 = 60
8x = 60+16
8x = 76
x = 76/8
x = 19/2
x = 9.5

Similarly,
MN/KL = LN/LJ
22/y = 12/8
22*8 = 12y
12y = 176
y = 176/12
y = 44/3
y = 14.667 (value is approximate)

Choose a number from 101 to 110 write it draw a picture to show it as 10 tens and more.

Answers

You would do ten columns of ten and then you would just do the remaining.

Choose a number from 101 to 110, we selected 106. To represent it with tens and ones, draw ten groups of ten for 'ten tens' which equals 100, and then draw 6 individual objects depicting 'and more' to visually show that 106 is 100 plus 6.

To choose a number from 101 to 110 and represent it as ten tens and more, let's select the number 106. The number 106 can be broken down into ten tens (which is 100) and an additional 6 to make up the full number.

A visual representation of this could be:

For the ten tens, you can draw ten groups of ten sticks or circles together, which would represent 100.

For the additional 6, draw six more sticks or circles away from the groups of tens.

So the drawing will show ten sets of ten objects, such as sticks or dots for the tens, and then six individual objects for the ones, clearly indicating that 106 consists of 100 (ten tens) plus 6 more.

Which is NOT a Correct name for the line shown

Answers

nR
———————————————-
Ahcienzue cod

nR is not a correct name for the line shown.

What is Line?

A line is a straight geometrical figure in one dimension. It is extended to both sides to infinity.

A line only has length and has no width, thus it is a one dimensional figure.

Given is a line where both sides extended to infinity.

The line is given a name n.

So we can denote the given line as n.

There are points marked on the line like R, S and T.

So we can denote the line also has the lines RT, ST and RS.

But we cannot denote the line with names like n R, n S and n T, all of which are incorrect notation.

Hence the incorrect notation for the given line is the second option n R.

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The graph of a function in the form f(x) a(x - h)2 +k is shown. Use the graph to find an equation for f(x).

Answers

O.K.

(h; k) are the coordinates of the vertex.

On the graph are (3; 4), therefore we have:

[tex]f(x)=a(x-3)^2+4[/tex]

We have the x-intercept (1; 0) → x = 1; y = 0.
Substitute them in the equation:

[tex]0=a(1-3)^2+4\\\\0=a(-2)^2+4\\\\4a+4=0\ \ \ |-4\\\\4a=-4\ \ \ \ |:4\\\\a=-1[/tex]

so. We have the answer:

[tex]\boxed{f(x)=-(x-3)^2+4}[/tex]

At the malt shop a large chocolate shake takes 0.2 of a pint of milk. If a medium shake takes 0.7 the amount of a large, how much does the medium shake take?

Answers

The answer would be 0.9 pints of shake

The answer would be 0.9

Without calculating, explain how many decimal places are in the product 0.6 X0.4 X 1.9. Rewrite the expression as the product of two decimals to support your answer.

Answers

There's only one decimal point in the answer. This is quite obvious. Regardless of whether or not your adding, subtracting, dividing, or multiplying, there's really only going to be one decimal, ever. This doesn't change, However, what DOES change are decimal PLACES.

Looking at the problem, you see both .6 and .4 are placed to the right of the decimal, otherwise known as the tenths place (1/10).

Looking at 1.9, you see you have one number (1) placed to the left of the decimal, the ones place, and another number placed to the right of the decimal (9), in the tenths place.

Well, this is simple. You can look and see that your multiplying fractions against a whole number, which will of course make this whole number even smaller. By how much though??

Well, you can really tell this by looking at how MANY numbers are behind the decimal. You have .9, .4, and .6

That's 3 numbers behind the decimal place. This may not help you solve the problem itself, but this tells you here (ignoring the 1, that will be taken out immediately while solving and turned into a 0) that you will have 3 numbers placed from the tenths place all the way to the thousandths place.

Basically, this tells you that you'll have three decimal places to the right of the decimal.

As for rewriting your problem to better show this, that's simple too.

All you have to do is simple multiplication, just in the tenths place. How? You know that 6*4 (referring to .6 and .4) is 24, that means that .6*.4 will be .24

How does this support your answer before? .24 has TWO numbers to the right of the decimal. That's TWO decimal places. With the .9 in 1.9, that's still THREE decimal places to the right of the decimal, and your answer would be the same.

So, here's it re-written.
1.9*.24=X

~Hope this helps!

Final answer:

The product 0.6 x 0.4 x 1.9 has three decimal places.

Explanation:

To determine the number of decimal places in the product 0.6 x 0.4 x 1.9, we can rewrite each decimal as the product of two decimals and count the total number of decimal places.

0.6 can be written as 0.6 x 1.0, which has one decimal place.

0.4 can be written as 0.4 x 1.0, which also has one decimal place.

1.9 can be written as 1.9 x 1.0, which has one decimal place.

Since each decimal has one decimal place, the product 0.6 x 0.4 x 1.9 has a total of three decimal places.

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sum of 5 z and 4 divided by two is 7

Answers

Hey there!

[tex]Sum: + (add) \\ \\ 5:5 \\ \\ z:z \\ \\ 4:4 \\ \\ divided by: division \\ \\ 2:2 \\ \\ is: = \\ \\ 7:7 [/tex]

Answer: [tex] \frac{5z +4}{2} = 7 [/tex]
_______________________________________________________________

[tex] \frac{5(2)+4}{2} [/tex]

[tex]5(2) = 10 [/tex]

[tex]10 + 4 = 14 [/tex]

[tex] \frac{14}{2} = 7 [/tex]

Answer: [tex]z = 2[/tex]
__________________________________________________________________
Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Juan has a box that is filled with toys. The box is 3 1/2 feet long,6 feet wide ,and 3 feet high. What is the volume and surface area of a box.

Answers

The volume is 31.5ft^2

Volume = Length x Base x Height
Volume = 3.5 x 6 x 3 = 63 ft^3

Surface Area (if we're talking about a closed box and only talking about the outside area) = ∑Areas of the sides
Surface Area = 3.5 x 6 + 3.5 x 6 + 6 x 3 + 6 x 3 + 3.5 x 3 + 3.5 x 3 = 99 ft^2

I need help with question 7, don't really get it?

Answers

if x is rational and y is irrational

then:
x+ y will always be irrational
x - y will always be irrational
xy will always be irrational

Therefore the answer is (3)

How does the volume of the cylinder compare to the volume of the cone

Answers

A cylinder with the same radius and height as a cone will have 3 times the volume of the cone.

Vcone = (1/3)*π*r^2*h
Vcylinder = π*r^2*h

Leta is making strawberry-almond salad for a party. For every head of lettuce that she uses, she adds 5 ounces of almonds and 10 strawberries. If she uses 75 ounces of almonds, how many heads of lettuce, how many strawberries does Leta use?

Answers

Strawberries= 75x10=750
Heads of lettuce=15

wo equations are given below: a − 3b = 9 a = b − 3 What is the solution to the set of equations in the form (a, b)? (−9, −6) (−4, −3) (−6, −3) (−9, −7)

Answers

a - 3b = 9
a = b - 3

With our set of equations, we should substitute our variables with their values, and whichever answer equals (or cancels) out is the correct one.

(-9, -6);
-9 - 3(-6) = 9
-9 + 18 = 9
18 = 18
This is correct so far.

(-9, -6);
-9 = -6 - 3
-9 = -9
This is also correct!

From the work above, we can conclude that the set of equations (-9, -6) is the correct answer.

I hope this helps!

all my points to person who has best answer plz make it simpule
Solve 8 x^2 + 5 = 35 Round to the nearest hundredth.Enter your answers in the boxes.The solutions are approximately and .

Answers

x=1.94
this is the answer because you subtract the 5 on both sides then divide by 8 which would be x^2=3.75, finally take the square root of both sides to get x=1.94 after rounding

8x² + 5 = 35
8x² = 35 - 5
8x² = 30
x² = 30/8
x² = 3.75
x = ±1.94 to the nearest hundredth

So x₁ = -1.94 and x₂ = 1.94

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