Ruby has 20 oranges. If she eats 3/5 of them, how many does she have left.​

The correct expression to represent 60 divided by the product of 4 and 3 is;

⇒ 60 ÷ (4 x 3)

Option A is true.

What is mean by Number system?

A system of writing to express the number is called Number system.

The written expression is given as;

''60 divided by the product of 4 and 3''.

Now, The product of 4 and 3 is written as;

⇒ 4 x 3

Since, 60 is divided by product of 4 and 3.

Hence, It can be written as;

⇒ 60 ÷ (4 x 3)

So, The correct expression to represent 60 divided by the product of 4 and 3 is;

⇒ 60 ÷ (4 x 3)

Option A is true.

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Answer:

0.625

Step-by-step explanation:

x=2/3, y=0.6

then 1/4xy = 1/(4×2/3×0.6)

= 0.625

the circumference of circle of area 2122.64 sq. cm. is 163.36 cm.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Area of circle is calculated using formula :

A = πr²

It is given that Area of circle is 2122.64 sq cm. then the radius will be :

A = πr²

2122.64 = π(r)²

r = √2122.64 / π

r = 26 cm

Now, calculating the circumference of the circle using formulae :

C = 2πr

C = 2π x 26

C = 163.36 cm

Therefore, the circumference of circle of area 2122.64 sq cm is 163.36 cm.

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Answer:lake a:7 lake b:9 lake c 21

Step-by-step explanation:

Based on the number of respondents with excellent health and those don't have health coverage, the probability that the respondent has excellent health or doesn't have health coverage is 33.61%

Out of 20,000 respondents, 2,524 people did not have health coverage. Out of those same 20,000 people, 4,198 respondents had excellent health coverage.

The probability that the respondent has excellent health or doesn't have health coverage is therefore:

= Probability that random person does not have health coverage + Probability that a respondent has excellent health coverage

= (2,524 + 4,198) / 20,000

= 33.61%

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Answer:

The answer is No Solution.

Step-by-step explanation:

We can't add the two systems, so let's look for x. We would need to multiple them by (-6) and 2, which are the numbers in front of x. One must be a negative.

(2x + 3y = 7) * (-6)
(6x + 9y = 6) * 2

_____________

(-12x) + (-18y) = -42

(12x + 18y = 12

Both the x and y cancel each other out, and we're only left with -42 and 12, which doesn't really solve for x.

You can check the answer by checking for y. So, this time, we'll multiply the equations by (-9) and 3, which are the numbers in front of y.

(2x + 3y = 7) * (-9)

(6x + 9y = 6) * 3

___________

(-18x) + (-27y) = -63

18x + 27y = 18

Both x and y cancel out, and we're left with -63 and 18.

Answer:

Step-by-step explanation:

go to school

Answer:

First box: 15

Second box: 8

Third box: 3

Fourth box: 5

Fifth box: (x+3)(x+5)

Step-by-step explanation:

Factor the trinomial so that it will multiply nicely. 3 and 5 add up to 8 while they multiply to 15

Answer:

y < 1

[tex]( - \infty \: 1)[/tex]

Step-by-step explanation:

8y - 5 < 3

8y < 8

y < 1

[tex]( - \infty \: 1)[/tex]

The midpoint of the points (1,3) and (7,1)

M=(2,4)

This is further explained below.

Generally, the equation for is midpoint mathematically given as

[tex]M=\frac{x1-x2}{2}, \frac{y1-y2}{2}[/tex]

Therefore

[tex]M=\frac{1+3}{2}, \frac{7+1}{2}[/tex]

M=(2,4)

In conclusion,the midpoint of points (1,3) and (7,1)

M=(2,4)

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CQ

The line on a graph passes through the points (1,3) and (7,1)

What is the midpoint of the points

Answer:

he walks 4.5 feet every second

Step-by-step explanation:

Answer:

9.33

Step-by-step explanation:

[tex]-4(x-3)-1 = 4-7(x-5)\\-4x+12-1 = 4-7x+35\\-4x+7x = -12+1+4+35\\ 3x = 28\\x = 28/3\\x = 9.33[/tex]

Answer:

c is the answer

Step-by-step explanation:

hint is the direction of movement

The ratio as a fraction in lowest terms is 23 : 90

Much like fractions, ratios are a comparison of two quantities containing differences in characteristics or properties. Change any worded ratios, such as "one of two" or "one to two," into numerical ratios. For example, if a sentence reads "There are two oatmeal cookies for every four chocolate chip cookies," it would be written as 2:4 ratio of oatmeal cookies to chocolate chip cookies. Convert your ratios to fractions by replacing the "colon" symbol with a "divide" symbol. For example, a ratio of 2:4 is the same as 2/4. Simplify your fraction by dividing the top and bottom by the same number until you cannot divide any longer. For example, you can divide 2/4 by the number "2" on both the numerator and denominator. The result would be a simplified fraction of 1/2.

So,

46 minutes : 3 hours

= [tex]\frac{46 \ minutes}{ 3 \ hours}[/tex]

We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,

= [tex]\frac{46 \ minutes}{ 180\ minutes}[/tex]

= [tex]\frac{46 }{ 180}[/tex]

= [tex]\frac{23}{ 90}[/tex]

=23:90

Therefore , the ratio as a fraction in lowest terms of 46 minutes to 3 hours is 23:90.

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The ratio as a fraction in lowest terms is 23 : 90

Much like fractions, ratios are a comparison of two quantities containing differences in characteristics or properties. Change any worded ratios, such as "one of two" or "one to two," into numerical ratios. For example, if a sentence reads "There are two oatmeal cookies for every four chocolate chip cookies," it would be written as 2:4 ratio of oatmeal cookies to chocolate chip cookies. Convert your ratios to fractions by replacing the "colon" symbol with a "divide" symbol. For example, a ratio of 2:4 is the same as 2/4. Simplify your fraction by dividing the top and bottom by the same number until you cannot divide any longer. For example, you can divide 2/4 by the number "2" on both the numerator and denominator. The result would be a simplified fraction of 1/2.

So, 46 minutes : 3 hours

[tex]=\frac{46 \ minutes}{3 \ hours}[/tex]

We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,

[tex]=\frac{46 \ minutes}{180 \ minutes}\\[/tex]

= [tex]\frac{46 }{180}[/tex]

= [tex]=\frac{23}{90}[/tex]

=23:90

Therefore , the ratio as a fraction in lowest terms of 46 minutes to 3 hours is 23:90.

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Answer:

if u might be giving replies in short like hmm... gn and all she meant that only ig

hope it helps.....

The translation of a point a units right and b units down is given by [tex]T_{(a,-b)}[/tex]

A triangle is a polygon that has three angles and three sides. The sum of angles in a triangle is 180 degrees. Types of triangles are isosceles, equilateral and scalene

Translation is the movement of a figure either up, right, left or down in the coordinate plane. Translation, reflection and rotation are rigid transformations while dilation is not a rigid transformation.

The translation of a point a units right and b units down is given by [tex]T_{(a,-b)}[/tex]

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By answering the above question, we may state that by equation A = S + 18 = 24 + 18 = 42 and Alex thus owns 42 books.

Using the equals notation (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of three mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are inscribed on opposite sides of a letter. Most of the time, the symbol and the particular software match. e.g., 2x - 4 = 2 is an example.

Let's designate the quantity of books Alex has as "A" and the quantity of books his sister Scout owns as "S."

We learn the following from the issue:

A = S + 18 (Alex possesses 18 more books than his sister) (Alex owns 18 more books than his sister)

A + S = 66 (combined, they possess 66 books) (together, they own 66 books)

These two equations can be used to determine A:

The first equation is substituted into the second equation to yield:

(S + 18) + S = 66

2S + 18 = 66

2S = 48

S = 24

Scout has 24 books, thus we can apply the first equation to determine how many books Alex has:

A = S + 18 = 24 + 18 = 42

Alex thus owns 42 books.

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The relative frequencies of the five classes are 14%, 32%, 38%, 11%, 2.9%.

Given, we have the frequency table grades A,B,C,D,F with frequencies of 5,11,13,4, and 1 respectively.

According to the question the relative frequency, the specific frequency is divided by the total frequency.

The sum of all the frequencies is called relative frequency.

= 5 + 11 +13 +4 +1 = 34

The relative frequency of the

first

class is,

A   5/34  =  0.14 =  14%

The relative frequency of the

second

class is,

B 11/34 =  0.32 = 32%

The relative frequency of the

third

class is,

C 13/34  =  0.38  = 38%

The relative frequency of the

fourth

class is,

D  4/34  = 0.11   = 11%

The relative frequency of the

fifth

class is,

F  1/34 =   0.029    = 2.9%

Hence, the relative frequencies of the five classes are 14%, 32%, 38%, 11%, 2.9%.

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The relative price of good X in terms of good Y is 4Y

The relative price of good Y in terms of good Z is 2.5Z

The relative price of good Z in terms of good X is 0.1X

The relative price of a good is the price of a good in terms of the price of another good. The relative price of a good is the ratio of the price of two goods or services.

The relative price of good X in terms of good Y = Price of good Y / price of good X

$72 / 18 = 4Y

The relative price of good Y in terms of good Z = price of good Z / price of good Y

$180 / $72 = 2.5Z

The relative price of good Z in terms of good X = price of good X / price of good Z

$18 / $180 = 0.1X

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Answer:

45

Step-by-step explanation:

3 students have both cats and dogs, so we will subtract 3 from the number of students who have cats and 3 from the number of students who have dogs because they shouldn't be surveyed multiple times.

This way, there are 20 students with cats, 17 students with dogs, 3 students with both, and 5 students with neither.

20+17+3+5=45

Answer:

Step-by-step explanation:

Function maximum

How many times does 0.75 divide into 6?

6.0/0.75 = 8

8 x 2 = 16 ft

How many times does 0.75 divide into 9?

9.0/0.75 = 12

12 x 2 = 24

ANS 16ft x 24ft = 384 sq ft Answer:

Step-by-step explanation:

Answer:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{15}{4}[/tex] u

Step-by-step explanation:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{dy}{du}[/tex] × [tex]\frac{du}{dx}[/tex]

differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] , and [tex]\frac{d}{dx}[/tex] (constant) = 0

given

x = 2u² + 1

[tex]\frac{dx}{du}[/tex] = 4u , then

[tex]\frac{du}{dx}[/tex] = [tex]\frac{1}{4u}[/tex]

y = 5u³ + 1

[tex]\frac{dy}{du}[/tex] = 15u²

then

[tex]\frac{dy}{dx}[/tex] = 15u² × [tex]\frac{1}{4u}[/tex] = [tex]\frac{15}{4}[/tex] u

The linear function that connects the points with coordinates (0,3) and (1,8) is given by:

y = 3 + 5x.

The points on the graph are missing, and the problem couldn't be found on a search engine, hence we are going to suppose that the points are (0,3) and (1,8).

A linear function is modeled according to the following rule:

y = mx + b

In which:

Considering points (0,3) and (1,8), we have that:

Hence the linear function that connects the points with coordinates (0,3) and (1,8) is given by:

y = 3 + 5x.

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Answer:

40

Step-by-step explanation:

product of 5 and the difference between 15 and 7.

= 5(15-7)

= 5(8)

= 40

The percentage of the total capacity being used is mathematically given as  98.4 %

Generally, the equation for the Lateral area is  mathematically given as

Lateral area =[tex]\frac{\theta}{2} \gamma^2-(\gamma-h) \sqrt{h(2-h)}\\[/tex]

Where

[tex]\theta=2 \cos ^{-1}\left(1-\frac{h}{\gamma}\right)=2 \cos ^{-1}\left(1-\frac{1}{11}\right)\\\\\&\Rightarrow F=\frac{\theta}{2}(11)^2-(11-1) \sqrt{1(2-1)}\\\\&\Rightarrow F=\frac{2\left(\cos ^{-1}(10 \% 11)\right.}{2}(11)^2-(10) \sqrt{1}\\\\&\Rightarrow F=6.167 \mathrm{ft}^2[/tex]

Hence Volume of the whole cylinder is

V=\pi 11^2 l

V=121 \pi l

Generally, the equation for Total capacity is  mathematically given as

[tex]V_1=\pi(11)^2 L[/tex]

[tex]=121 \pi 2ft^2[/tex]

Area of cross-section:-

[tex]\begin{aligned}A &=\int_{-11}^{10}\left[\sqrt{1^2-y^2}-\left(-\sqrt{u^2-y^2}\right)\right] d y \\&=2 \int_{-71}^{10} \sqrt{1^2-y^2} d y . \\A & \cong 373.96 \mathrm{ft}^2\end{aligned}[/tex]

In conclusion, the Percentage of total capacity

[tex]\% TC=\frac{121 \pi l-6.167 l}{121 \pi l} \times 100 \\[/tex]

[tex]\% TC =\frac{373.77}{3799+100}=98.37 \%[/tex]

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Answer:

3. 96

Step-by-step explanation:

x= 180°-84°

x=96°

so number 3 is the right answer.

Answer:

600 feet

Step-by-step explanation:

If you moved Both Samantha and Ryu two units to the left, you would see that the distance would be equal from 0 to -600.  Distance cannot be negative so the distance between the two would be 600 feet.