The product of two fractions is 5/6 .
a) Find three different pairs of fractions that each have a product of 5/6 . Show how you know your answers are correct.
b) Explain why there are more than one pair of fractions that have a product of 5/6

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{70\% of 30}}{\left( \cfrac{70}{100} \right)30}\implies 21[/tex]

Answer: 21

Step-by-step explanation:

70% of 30 students is 21

Hope this helped :)

Answer:

thats correct

Step-by-step explanation:

Answer: [tex]y=-\frac{1}{2}x+6[/tex]

Step-by-step explanation:

The slope of the line segment is [tex]\frac{-1-7}{4-8}=2[/tex].

The midpoint of the line segment is [tex]\left(\frac{4+8}{2}, \frac{-1+7}{2} \right)=(6, 3)[/tex].

Thus, the equation is:

[tex]y-3=-\frac{1}{2}(x-6)\\\\y-3=-\frac{1}{2}x+3\\\\y=-\frac{1}{2}x+6[/tex]

The equation of the parabola is f(x) = 7(x-3)^2+5.

Given:

The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.

If the parabola has same shape then its a values are same.

so f(x) = 7x^2

here a = 7

so the equation with vertex (3,5) also has a value is 7.

(h,k) = (3,5)

f(x) = a(x-h)^2+k

= 7(x-3)^2 + 5.

Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.

Learn more about the equation here:

https://brainly.com/question/10413253

#SPJ1

Answer:

x = 12

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This means that 6x - 19 + 3x + 7 + 84 = 180

6x - 19 + 3x + 7 + 84 = 180

==> combine like terms

9x + 72 = 180

==> subtract 72 from both sides

9x = 108

==> divide both sides by 9

x = 12

Answer:

D: 12

Step-by-step explanation:

multiples of 4: 4,8,12,16,20

12 is the only number that can be divided by 4 on the list

Hopes this helps please mark brainliest

Answer:

D. 12

Step-by-step explanation:

12 is a multiple of 4 because 4 goes into 12 (evenly, with no remainder).

That's what being a multiple means.

All the "answers" to 4 times table questions are multiples of 4. Here they are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48...

Can't actually list them all because the list goes on forever.

Answer:

70,000

Step-by-step explanation:

Round up if the next digit is higher than or equal to 5.

edit: accidentally answered twice

Answer:

70,000

Step-by-step explanation:

Round up if the next digit is higher than or equal to 5.

1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.

The two numbers given are:

1.88 times 10²

= 1.88 × 10²

And

2.35 times 10⁻¹

= 2.35 × 10⁻¹

We need to find that how much time is 1.88 × 10² greater than 2.35 × 10⁻¹.

We will use division for the same.

So, we get that:

= 1.88 × 10² / 2.35 × 10⁻¹

Using the rules of exponents and simplify the expression, we get that:

= 0.8 × 10 ²⁺¹

= 0.8 × 10³

= 0.8 × 1000

= 800

Therefore, we get that, 1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.

Learn more about division here:

https://brainly.com/question/25289437

#SPJ9

Michael drinks 33.5 fl oz more fluid ounces than Lydia.

Given in question,

30 ml = 1 fl oz

  1 ml = 1/30 fl oz

1 bottle = 335 milliliters

No. of bottles of water Michael drank = 6

                                                              = 6 * 335 milliliters

                                                              = 2010 milliliters

                                                              = 2010/30 fl oz

                                                              = 67 fl oz

No. of bottles of water Lydia drank = 3

                                                           = 3 * 335 milliliters

                                                           = 1005 milliliters

                                                           = 1005/30 fl oz

                                                           = 33.5 fl oz

Therefore, 67 - 33.5 = 33.5

Hence, Michael drinks 33.5 fl oz more fluid ounces than Lydia.

To learn more about fluid ounces here:

https://brainly.com/question/8500307

#SPJ1

Answer:

30%

Step-by-step explanation:

To calculate the percent of change, you find the amount of change and divide that my the original amount

[tex]\frac{3-2.1}{3}[/tex] = [tex]\frac{.9}{3}[/tex] = .3  As a percent, this would be 30%

Identifying the domain and range is important when defining a function because domain gives all the input values and range gives all the output values a function can take. It is very essential to know domain and range of a function.

Domain are represented by independent variable and are graphed on x coordinate of the axis.

Range are dependent values and are graphed on y axis of the graph.

To know more about  domain and range

https://brainly.com/question/28135761

#SPJ1

Answer:

The answer is 169

Step-by-step explanation:

Answer:

(a-5)(a+4)

Step-by-step explanation:

[tex]a^{2}[/tex]-a-20

[tex]a^{2}[/tex]+4a-5a-20

a(a+4) -5(a+4)

(a-5)(a+4)

Answer: yes, because -2 is the opposite of the leading coefficient

Step-by-step explanation:

Answer:

45/20

Step-by-step explanation:

Answer:

9/4 divided by 6/5 is 15/8

Step-by-step explanation:

9/4 ÷ 6/5 turns into 9/4 × 5/6 which is the reciprocal

9/4 × 5/6 = 45/24

Divide the numerator and denominator by 3 to get 15/8

15/8 is in its simplest form

If our circadian clocks are not reset each morning by exposure to light, they a. tend to run a cycle that is a little longer than 24 hours.

Chronobiology, the study of the body's circadian rhythms, contends that our daily routine, including when we eat, exercise, go to bed, and are exposed to light, may have a significant impact on how our bodies function on a day-to-day basis.

According to the National Institute of General Medical Sciences, circadian rhythms are the normal physical, mental, and behavioral changes that take place in the body on a 24-hour cycle, typically in reaction to light and darkness. One illustration is resting at night and remaining awake during the day.

You might not be able to avoid daytime sleep and evening work if you work an overnight shift or other irregular hours. According to Wright, those people should pay extra close attention to making other healthy decisions a priority, such as getting enough exercise and quitting smoking.

To know more about circadian rhythm:

https://brainly.com/question/6434404

#SPJ4

Answer:

It should be y=2x-1

Step-by-step explanation:

Answer:

p = -1 ; p= 3

Step-by-step explanation:

10p^2 - 20p - 34 +4 = 0

10p^2 -20p - 30 = 0

10/10 p^2 - 20/10 p - 30/10 = 0

p^2 - 2p - 3 = 0

(p-3)(p+1) = 0

p = 3

p = -1

Inconclusion the amount she invested in each account is $1,000 invested at interest rate 12% .

What is interest rate?

Let x represent the amount invested at 3%.

. 12x +.03(2000-x)= 150

.09x+ 60 = 150

Collect like terms

.09x = 90

Divide both side by .09x

x  = 90/.09

x=$1000

Learn more about interest rate

brainly.com/question/13324776

#SPJ13

The maximum area that the material would cover is 640, 000 square yards

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then

rate of change = change in y / change in x

if 3200 yards was used for fencing, then 3200 yards is perimeter

and perimeter of a rectangle = 2( L + B)

so that,

2(L + B) = 3200

L + B = 1600

express L in terms of B

L = 1600 - B

Area(A) = L X B

A = L X B

substitute L = 1600 -B

A = (1600 - B) x B

multiply out

A = 1600B - [tex]B^{2}[/tex]

for maximum area,

[tex]\frac{dA}{dB}[/tex] = 0

But dA / dB = 1600 - 2B

1600 - 2B = 0

2B =1600

B = 1600/2

B = 800 yards

L = 1600 - B

L = 1600 - 800

L = 800 yards

Area = L X B

A = 800 x 800

A = 640,000 square yards

In conclusion, he maximum area is  640,000 square yards and the dimensions are 800 yards by 800 yards

Learn more about maximum points: https://brainly.com/question/5722003

#SPJ1

The elevation of the road is 4800 feet.

From the question, we have

y = mx + b

where m is the rate of change, b is the initial value of y and y, x are variables.

Let y represent the elevation of the road after x miles.

After 2 miles, the elevation is 5500 feet above sea level.

5500 = 2m + b   (1)

After 4 miles, the elevation is 6200 feet above sea level.

6200 = 4m + b   (2)

Solving equation 1 and 2, we get

m = 350, b = 4800

The elevation of the road 4800 feet.

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers. The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

To learn more about subtraction visit: https://brainly.com/question/2346316

#SPJ9

Answer:

3 hours

Step-by-step explanation:

The robots are powered coffee alone. They use 2 bags of coffee each day. how long will 1/4 of a bag last them?

1/4 = 0.25

0.25 / 2 = 1/8 or 0.125

0.125 * 24 hours = 3 hours

Answer:

a) 2.0 x 10^5

b) 8.0 x 10^4

c) 9 x 10^9

d) 1 x 10^10

the quotient as a power. a^21/a is a^20.

What is Power?

In mathematics, power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.

What is quotient?

The number we obtain when we divide one number by another is the quotient.

What is exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

Given that,

a^21/a

quotient as power = a^21/a

                             =  a^(21-1)

                             = a^20

Learn more about Quotient as a Power:

https://brainly.com/question/25263760

#SPJ1

Given that the coefficient of x³ is twice the coefficient of x² in the binomial expansion of f(x)

(a) It is proved that n = 6k + 2

(b)k = 2 and n=14

(c) After expansion, the equation is
   1 + 14x + 91/4x^2 + 1001/2x^3 + 1001/16x^4 + 1001/16x^5

What is the binomial theorem?

The algebraic expansion of a binomial's powers is described by the binomial theorem (also known as binomial expansion) in elementary algebra.
The theorem states that the polynomial (x + y)n can be expanded into a sum including terms of the form axbyc, where the exponents b and c are nonnegative integers and b + c = n, and the coefficient an of each term is a particular positive integer dependent on n and b.

Solution Explained:

f(x)= (1+x/k)^n

Given that the coefficient of x^3 is twice the coefficient of x^2 in the binomial expansion of f(x)

a)

Coeff of x^3 = 1/6[n(n-1)(n-2)/k3]

Coeff of x^2 = 1/2[n(n-1)/k2]

1/6[n(n-1)(n-2)/k3] = 2* 1/2[n(n-1)/k2]

Canceling on both sides gives:

(n-2)/(6k) = 1

n = 6k+2        Hence proved

Given also that the coefficients of x^4 and x^5 are equal and non-zero,

b)

Coeff x^4 = 1/24 [n(n-1)(n-2)(n-3)/k4

Coeff x^5 = 1/120 [n(n-1)(n-2)(n-3)(n-4)/k5

1/120 [n(n-1)(n-2)(n-3)(n-4)/k5 = 1/24 [n(n-1)(n-2)(n-3)/k4

Canceling gives:

(n-4)/(120k) = 1/24

n = 5k+4

From previous:

n = 6k+2 = 5k+4

k = 2

n=14

Using these values of k and n,

c)

Give each coefficient as an exact fraction in its lowest terms
1 + 14x + 91/4x^2 + 1001/2x^3 + 1001/16x^4 + 1001/16x^5

To learn more about the Binomial Theorem, use the link given below,

https://brainly.com/question/13672615

#SPJ13

Answer:

Step-by-step explanation:

b) The value of 12⁰ will be?

→ 12⁰ = ?

→ 12⁰ = 1

Hence, the solution is 1.

c) The value of (3)^(-2) will be?

→ (3)^(-2) = ?

→ (3)^(-2) = 0.1

Hence, the solution is 0.1.

Answer: M = 1876 - 30n  will give the amount of Money (M) remaining after n months of withdrawing exactly $30 per month, PROVIDED NOTHING ELSE IS EVER ADDED TO OR WITHDRAWN FROM THE ACCOUNT.  (Not very realistic.)

Use n=6 to provide the balance after 6 months.

Step-by-step explanation: