The ratio x:y is equal to is 2 : 5, and y is 80% of z. Write an equation to represent the proportional relationship between x and z.

Answer:

  D.  31

Step-by-step explanation:

The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...

  ∛(1331 m³) = 11 m

For the box that is 729 m³, the height is ...

  ∛(729 m³) = 9 m

Then the total height of the stack of boxes is ...

  11 m + 11 m + 9 m = 31 m

Answer:

31

Step-by-step explanation:

I took the test on Edmentum, have a good day hope it helps :)

Answer:

-3/2

Step-by-step explanation: Divide 12 by 8 and you get 3/2. Since the sign alters, the ratio is negative.

The fraction 27/50 in percentage is 54.00% to the nearest tenth of a percent

What does tenth mean?

Tenth means expressing a number to the nearest 2 decimal places, in other words, the final answer in this case should be expressed to 2 decimal places.

How do I convert a fraction to percentage?

The simplest way to convert a fraction such as 27/50 to percentage terms, is to multiply the fraction by 100%, since it is believed that the denominator of the fraction is 100% and the numerator is only a portion of the 100%.

27/50 in percentage=100%*27/50

100% multiplied by 27 gives 2,700%

27/50 in percentage=2700%/50

0 in numerator cancels zero in the denominator

27/50 in percentage=270%/5

270 divided by 5 is 54

27/50 in percentage=54.00

In essence, the fraction , 27/50 is the same 54.00% in percentage terms, which means that 54.00% is the most correct answer in the case.

Find out more about fraction on:https://brainly.com/question/11562149

#SPJ1

Answer:

The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.

An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.

\(\bold{\huge{\red{\underline{ Solution}}}}\)

\(\bold{\underline{ We \: have\: given :-}}\)

\(\sf{ 2x + 7y = 3 ...eq(1 ) }\)

\(\sf{ x = -4y ...eq(2) }\)

Here, we will use the substitution method for solving the above equations.

\(\bold{\underline{Subsitute \: eq(1)\:in \: eq(2)}}\)

\(\sf{ 2(-4y) + 7y = 3 }\)

\(\sf{ -8y + 7y = 3 }\)

\(\sf{ - y = 3 }\)

\(\sf{ y = - 3. ...eq( 3) }\)

\(\bold{\underline{Subsitute \: eq(3)\:in \: eq(2)}}\)

\(\sf{ x = -4(-3) }\)

\(\sf{ x = 12 }\)

\(\sf{\blue{ Hence, \: The \:value \:of \:x \:and \:y \:is\: 12\: and \:-3}}\)

Answer:

Other side, the opposite function, on both sides of the equation, in the numerator, not the denominator

Step-by-step explanation:

To isolate a single variable when rearranging equations, move all other variables to the other side of the equation by using the opposite function on them and remembering to perform that operation on both sides of the equation. Make sure the rearrangement has the target variable in the numerator, not the denominator.

other side

the opposite function

on both sides of the equation

in the numerator, not the denominator

Find out more information about the variable here:

https://brainly.com/question/787279?referrer=searchResults

The graph of the function f(x) = (x - 3)(x + 1) is positive and decreasing for x values between -1 and 3, inclusive.

To determine where the graph is positive, we look for the intervals where f(x) > 0. Since f(x) is a quadratic function that opens upward (positive leading coefficient), the graph will be positive in the intervals where the function is greater than zero.

To find where the graph is decreasing, we look for intervals where the function is decreasing or has a negative slope. In this case, since f(x) is a quadratic function, it is decreasing on the interval (-∞, -1) and (3, ∞).

Combining both conditions, we find that the graph of f(x) = (x - 3)(x + 1) is positive and decreasing for x values between -1 and 3, inclusive. This means that the graph is above the x-axis and getting smaller as x increases from -1 to 3.

For more such answers on function

https://brainly.com/question/11624077

#SPJ8

The measure of the indicated arc angle is 134 degrees.

The angle subtended by the arc at the centre of the circle is the angle of the arc.

Therefore, the central angle of an arc is the angle at the centre of the circle between the two radii subtended by the arc.

Hence, the central angle is also known as the arc's angular distance.

Therefore, the measure of an arc is the measure of its central angle.

Hence, the measure of the indicated arc is 134 degrees.

learn more on arc angle here: brainly.com/question/30194223

#SPJ1

Answer:

d

Step-by-step explanation:

The ΔDGF and ΔABC can be proven similar through SSS similarity. Therefore, option D is the correct answer.

We need to find which of the given pairs of triangles can be proven similar through SSS similarity.

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Now, form option D.

DF/AB=DG/AC=FG/BC

⇒8/2=10/2.5=11/2.75

⇒4=4=4

Thus, ΔDGF and ΔABC are similar.

Therefore, option D is the correct answer.

To learn more about the similarity visit:

https://brainly.com/question/12670209.

#SPJ5

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

What is banquet?

A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.

To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.

Let's define the variables:

Let x be the number of adult guests.

Let y be the number of student guests.

Now, let's write the system of inequalities representing the constraints of the situation:

The total number of guests cannot exceed 125: x + y ≤ 125

The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375

To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.

The boundary lines of each inequality are:

x + y = 125 (the line that connects the points (0, 125) and (125, 0))

45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))

To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.

The resulting graph should look like this:

The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

To know more about banquet visit:

https://brainly.com/question/18943399

Answer:

Step-by-step explanation:

surface area = 2πrh + 2πr²

where r = 2 miles radius

          h = 3 miles

plugin values into the formula

surface area = 2πrh + 2πr²

                     = 2π (2) 3  +  2π (2)²

                     = 37.699  +  25.133

                     = 62.832 mi.²

The answer to the question is 1/3.

There are three possible outcomes: 5, 6, or 7.

Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.

Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.

To solve more on probability :

https://brainly.com/question/12594357?referrer=searchResults

The square root of 9 by long division method will give an answer of 3.

1: Group the digits of 9 into pairs from right to left. Since 9 is a single-digit number, we can consider it as a pair by itself.

2: Find the largest number whose square is less than or equal to the leftmost pair. In this case, the largest number whose square is less than or equal to 9 is 3.

3: Write 3 as the divisor on the left, and the quotient on the top right.

3 √ 9 |  0

4: Multiply the divisor (3) by the quotient (3), and write the result under the 9.

3 √ 9 |  0

      - 9

5: Subtract the result (9) from the leftmost pair (9), and write the difference (0) below the line.

3 √ 9 |  0

      - 9

       0

6: Bring down the next pair (0) to the right of the difference.

3 √ 9 |  0

      - 9

       0

     -----

7: Double the quotient (3) and write a blank space to the right.

3 √ 9 |  0

      - 9

       0

     -----

       0

      ?

8: Find a digit to fill in the blank space, such that when the new divisor (37) is multiplied by the digit, the result is less than or equal to the current dividend (0). In this case, the largest digit we can use is 0.

9: Write the digit (0) as the new quotient, and write the product of the new divisor (37) and the new quotient (0) below the line.

3 √ 9 |  0

      - 9

       0

     -----

       0

      0

10: Subtract the product (0) from the current dividend (0), and write the difference (0) below the line.

3 √ 9 |  0

      - 9

       0

     -----

       0

      0

      - 0

11: Since there are no more pairs to bring down, we have reached the end of the division. The square root of 9 is 3.

√9 = 3.

Learn more on finding square roots by long division methods here https://brainly.in/question/52760816

#SPJ1

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

To learn more about : hours

https://brainly.com/question/14628994

#SPJ8

Answer:

\({ \huge \star} \boxed{\sqrt{6} \times 10 \sqrt{12}} {\huge \star} \\ = \sqrt{6} \times 10 \times \sqrt{6 \times 2} \\ = 6 \times 10 \times \sqrt{2} \\ = \boxed{ 60 \sqrt{2} }\)

what is the product of √6 and 10√12 in simplest radical form?

\( \small 60 \sqrt{2} \)

→ √6 × 10√12

→ √6 × 10 × √6×2

→ 6 × 10 × √2

→ 60√2

The diameter of the circle is 8, because the diameter is twice the radius. The circumference of the circle is 25.1327, because the circumference is calculated using the formula C = 2πr, where r is the radius and π is approximately equal to 3.14.

Step-by-step explanation:

slope = 2

slope is the gradient=

\((y2 - y1) \div (x2 - x1)\)

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

$886.47

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

By the Angle of intersecting secants,

"If two lines intersect outside a circle, then the measure of the angle between these lines or secants will be one half of the difference between the intercepted arcs."

From the picture attached,

Angle between the secants = ∠1

Measure of intercepted arcs are a° and b°.

By this theorem,

m∠1 = \(\frac{1}{2}(a-b)\)

Option (4) will be the answer.

Answer:

1/6 + 1/2 = 1/6 + 3/6 = 4/6

SIMPLIFIED IS = 2/3

Step-by-step explanation:

Answer:

approximately 14.2127 but it could also be simplified to the square root of 2 times the square root of 101

Answer:

No

Step-by-step explanation:

The photo provided doesn't necessarily prove that the diagonals bisect each other. It could be proven as a quadrilateral is the other line inside the shape had lines showing this as well.

Answer:the answer is no

Step-by-step explanation:

it dosent give enough info

Answer:

The 3rd one for the first and 2nd and 4th and 1st and 3rd and 1st

Step-by-step explanation:

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

For more such questions on semi-annually

https://brainly.com/question/30573341

#SPJ8

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

Learn more about speed here: brainly.com/question/7359669

#SPJ1

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

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

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Based on the mathematical problem given where 2/5 subtracts (-4/15) the solution would be 2/3

In order to be able to subtract fractions, they need to have the same base. If fractions have different basis, then use their lowest common multiple as the base and then convert the numerator.

When subtracting 2/5 - (-4/15), use the lowest common multiple of 15:
= 2/5 - (-4/15)

= 6 / 15 - (- 4/15)

= 6/15 + 4/15

= 10/15

= 2/3

In conclusion, the solution is 2/3 and it cannot be a mixed number or an improper fraction.

Find out more on subtracting fractions at https://brainly.com/question/18175484

#SPJ1

The value of c such that the function f is a probability density function is 2

The density function is given as:

f(x) = cxe^(−x^2) if x ≥ 0

f(x) = 0 if x < 0.

We start by integrating the function f(x)

∫f(x) = 1

This gives

∫ cxe^(−x^2) = 1

Next, we integrate the function using a graphing calculator.

From the graphing calculator, we have:

c/2 * (0 + 1) = 1

Evaluate the sum

c/2 * 1 = 1

Evaluate the product

c/2 = 1

Multiply both sides of the equation by 2

c = 2

Hence, the value of c such that the function f is a probability density function is 2

Read more about probability density function at

https://brainly.com/question/15714810

#SPJ1