work out
3/17 x 17/21
write the answer in its lowest form

Answer:

4 2/3

Step-by-step explanation:

For the quadrupled recipe, you will need 6 2/3 cups of milk.

Here, we have,

To quadruple the macaroni and cheese recipe,

we need to multiply the original recipe measurements by 4.

The original recipe calls for 1 2/3 cups of milk.

To find out how much milk is needed for the quadrupled recipe, we can multiply 1 2/3 by 4:

1 2/3 * 4

= (5/3) * 4

= 20/3

= 6 2/3

Therefore, for the quadrupled recipe, you will need 6 2/3 cups of milk.

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Answer:

Eminem.

Rakim.

Nas.

Andre 3000.

Lauryn Hill.

Ghostface Killah.

Kendrick Lamar.

Lil Wayne

Step-by-step explanation:

Answer:

Logic

Step-by-step explanation:

Answer:

y − y1 = m(x − x1)

m  = (y2-y1) / (x2-x1) = (5 - 6) / (1 - (-1)) = -1 /2

y - 6 = -1/2 (x - (-1))

y - 6 = -1/2 (x + 1)

y - 6 = -1/2x - 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

f(1) = 3

f(n) = f(n-1) - 1

Otherwise,

f(n) = f(1) - (n-1)

=> f(6) = 3 - 5 = -2

Hope this helps!

:)

Answer & Step-by-step explanation:

On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.

[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]

So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]

Answer:

176

Step-by-step explanation:

Answer:

Therefore the largest number that these fractions can be divided by to give them a whole number is

a) 8/15 = The largest number is 8/15

b) 18/35 = The largest number is 18/35

Step-by-step explanation:

A quotient is the result obtained by dividing two numbers.

So that the quotient obtained is a whole number we have to find out, what number they can be divided by to give them that.

Let's assume the whole number is 1

a. 8/15

8/15 ÷ x = 1

8/15 × 1/x = 1

8/15x = 1

We would cross multiply

8 = 15x

We would divide both sides by 15

8/ 15 = x

Hence the largest number that would divide 8/15 and give it a whole number = 8/15

b) 18/35

18/35÷ x = 1

18/35 × 1/x = 1

18/35x = 1

We would cross multiply

18 = 35x

We would divide both sides by 35

18/ 315 = x

Hence the largest number that would divide 18/35 and give it a whole number = 18/35

Answer:

The answer is 2/105

Step-by-step explanation:

first we have to find the LCM of both denominators. IN this case, the LCM of 15 and 35 is 105. Then we have to find the GCF of these numerators. IN this case, the GCF of 8 and 18 is 2.

Now, put the GCF you found over the LCM.

ANSWER: 2/105

This fraction is the largest number you can divide both numbers by to get a whole number.

Answer:

5.3

Step-by-step explanation:

Answer:

The answer is 5.3

Step-by-step explanation:

5.3x3-2= 13.9 but when you round its 14

Answer:

3 cones

Step-by-step explanation:

This is why the formula for the volume of a cone is 1/3 (π×r^2)× h, while the volume for a cylinder is (π× r^2)× h, respectively.

Answer:

C) 3 Cones.

Explanation:

Hope this helps! :)

Answer:

y = 478x + 1,854

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The y- intercept is the point on the y- axis where the line crosses it

This point is y = 2

with coordinates (0, 2 ) → B

The line is  crossing the y axis at (0,2)

The x - intercept is where a line crosses the axis and the y intercept is the point where  the line crosses the y - axis .

observing the graph it can be concluded that ,

The line is  crossing the y axis where x = 0 and y = 2 , so the point is (0,2)

correct answer is c) (0,2)

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Answer:

We need the segments but which ever one has the segment that is 2/3 times the length of segments xy

Step-by-step explanation:

Answer: line c

Step-by-step explanation: I got it correct

Answer:

equal to ab

Step-by-step explanation:

The area of a parallelogram is Area =  ab

therefore, the area is ab

Answer:

Less than ab

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation:

The square route of 174 is 13.190906. Didn't use a calculator.

Answer:

60 sandwiches

Step-by-step explanation:

In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:

3*5*4 = 60

That means there are a total of 60 ways to make different sandwiches

Answer:

It is A because due to the slope it is a parallelogram.

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Answer: x = 2

Step-by-step explanation:

[tex]10x - 15x + 5= -45 + 40[/tex]

subtract 5

[tex]10x - 15x= -45 + 40-5[/tex]

Combine like terms;

[tex]-5x=-10[/tex]

Divide by -5

[tex]x=\frac{-10}{-5}\\ x=2[/tex]

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]10x - 15x + 5 = - 45 + 40 \\ 10x - 15x = - 5 - 45 + 40 \\ - 5x = - 10 \\ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} \\ x = 2[/tex]

Answer:

Step-by-step explanation:

(-2, 2)   (2, -3)

(-3 - 2)/(2 + 2)

-5/4 the slope

y - 2 = -5/4(x + 2)

y - 2 = -5/4x - 5/2

y- 4/2 = -5/4x - 5/2

y = -5/4x - 1/2

Answer:

D not possible.........

Answer:

30

Step-by-step explanation:

150/100 = 1.5

1.5 is 1% of 150

20% of moviegoers recommend the movie

1.5 times 20 = 30

Answer: True

Step-by-step explanation:

YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS

PROOF:

TOTAL RIDE TIME = 30 SECONDS

Length of elevator = 12 METRES

Distance moved per second can be calculated by = (length of elevator / total ride time)

( 12 METRES / 30 seconds) = 0.4 metres per second

Therefore, distance covered in 5 seconds :

0.4 × 5 = 2 metres.

Hence, the proof

He traveled 2 meters ever 5 seconds

Answer: 49.5 and -0.5

Step-by-step explanation:

a  + b =49

a -  b = 0.5

a= 49.5

b= -0.5

The two numbers are approximately 24.25 and 24.75.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

Let's call the two numbers x and y.

According to the problem, we have two equations:

x + y = 49 (since their sum is 49)

x - y = 1/2 (since their difference is 1/2)

We can solve this system of equations using the method of substitution.

First, we can rearrange the second equation to solve for one of the variables in terms of the other:

x - y = 1/2

x = y + 1/2

Now we can substitute this expression for x into the first equation:

(y + 1/2) + y = 49

2y + 1/2 = 49

2y = 48.5

y = 24.25

Now we can use this value of y to solve for x:

x = y + 1/2 = 24.25 + 1/2 = 24.75

Therefore, the two numbers are approximately 24.25 and 24.75.

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40π

You dont need paper hw since we're in quarantine

Answer:40

Step-by-step explanation:

Answer:

the right answer is : A

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

im smort

Answer:

angle of depression = -12 degrees

Step-by-step explanation:

Sin = opposite/hypotenuse

sin = -208/1000

inv sin 0.208 = -12

To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.

Using SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use

Data;

since we have the value of opposite and adjacent, we can solve this using the tangent of the angle

[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]

From the calculation above, the angle of depression is equal to 76.23 degrees.

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Options A, B, D, and E are correct answers such that the probability of the usage of social media by 8th and 9th-grade students is given.

A. There is no association between using social media and grade level.

B. The probability a student uses social media, given that he or she is in 9th grade, is 81%.

D. An 8th grader is more likely to use social media than not.

E. Knowing a student’s grade level does not help determine if he or she uses social media.

Probability is the ratio of the favorable outcomes to the total outcomes.

Given that, a group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends.

We can see that, there is no relationship between the usage of social media and grade level so, we can say that there is no association between using social media and grade level.

Probability of using social media by a 9th grader is-

P(9) = 0.81 / 1 x 100 = 81%

Probability of using social media by a 8th grader is-

P(8) = 0.84 / 1 x 100 = 84%

We cannot define the usage of social media depending on the grade level.

Thus, Options A, B, D, and E are correct answers.

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The table is attached

Step-by-step explanation:

If the log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.

Let a = log82x, b = log4x and c = log2x

If a = log8 2x; 8^a = 2x... (1)

If b = log4 x; 4^b = x ... (2)

If c = log2 x; 2^c = x...(3)

Since a, b c are in GP, then b/a = c/b

Cross multiplying:

b² = ac ...(4)  

From eqn 1, x = 8^a/2

x = 2^3a/2

x = 2^(3a-1)

From eqn 2; x = 4^b

x = 2^2b

From eqn 3: x = 2^c

Equating all the values of x, we have;

2^(3a-1) = 2^2b = 2^c

3a-1 = 2b = c

3a-1 = c and 2b = c

a = c+1/3 and b = c/2  

Substituting the value of a = c+1/3 and b = c/2 into equation 4 we have;

(c/2)² = c+1/3×c

c²/4 = c(c+1)/3

c/4 = c+1/3

Cross multiplying;

3c = 4(c+1)

3c = 4c+4

3c-4c = 4

-c = 4

c = -4  

Substituting c = -4 into equation 3 to get the value of x we have;

2^c = x

2^-4 = x

x = 1/2^4

x = 1/16    

Since the number x can be written as m/n, then x = 1/16 = m/n

This shows that m = 1, n = 16

m+n = 1+16

m+n = 17  

The required answer is 17.  

The value of m+n in which m and n are relatively prime positive integers is 17.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

There is a unique positive real number x such that the three numbers log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio. The progression is,

[tex]\log_82 x,\log_4x, \log_2x[/tex]

The above numbers are in geometric progression. Thus, the ratio of first two terms will be equal to the ratio of next two terms as,

[tex]\dfrac{\log_4x}{\log_82x}=\dfrac{\log_2x}{\log_4x}\\(\log_4x)^2={\log_2x}\times{\log_82x}\\[/tex]

Using the base rule of logarithmic function,

[tex]\left(\dfrac{\log x}{\log 4}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log8}\\\left(\dfrac{\log x}{\log 2^2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log2^3}[/tex]

Using the Power rule of logarithmic function,

[tex]\left(\dfrac{\log x}{2\log 2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{3\log2}\\\dfrac{\log x}{4}=\dfrac{\log 2+\log x}{3}\\3\log x=4(\log2x)\\\log x^3=\log(2x)^4\\x^3=16x^4\\x=\dfrac{1}{16}[/tex]

The number x can be written as

[tex]\dfrac{m}{n}[/tex]

Here, m and n are relatively prime positive integers. Thus, the value of m+n is,

[tex]m+n=1+16=17[/tex]

Hence, the value of m+n in which m and n are relatively prime positive integers is 17.

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Answer:

3/26 students or 11%

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

24/27 = 8/9