The average price of a 0.5- carat round diamond is $3700 and the average price of a 0.75- carat diamond is $4950. If the weight and the price of the diamond is linearly related, how much will a 2.5 -carat round diamond cost?

Step-by-step explanation:

one to one relationship

this is the answer

Answer:

$680

Step-by-step explanation:

original price=$800

discount = 15%

discount in dollars= $800 *15%

discount=$120

cost=$800-$120

cost=$680

9514 1404 393

Answer:

  2)  3 pages per hour

  3)  4/29 km per minute

Step-by-step explanation:

Division by a fraction is the same as multiplication by the inverse of that fraction.

  [tex]\dfrac{\ \dfrac{9}{4}\ }{\dfrac{3}{4}}=\dfrac{9}{4}\times\dfrac{4}{3}=\dfrac{36}{12}=\boxed{3\text{ pages per hour}}[/tex]

__

  [tex]\dfrac{2\text{ km}}{\dfrac{29}{2}\text{ min}}=2\times\dfrac{2}{29}\text{ km/min}=\boxed{\dfrac{4}{29}\text{ km/min}}[/tex]

Answer:

96

Step-by-step explanation:

The mean number of 5 nights is 90. It means that the quantity of guests who came these nights is 90*5=450

The mean number of the six nights is 91. So the quantity of guests is 6*91=546

546-450= 96- the quantity of guests that came on the extra night

Answer:

how to convert

Step-by-step explanation:

To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have. This method works for all mixed numbers

Answer:

Change the whole numbers

Step-by-step explanation:

For example

5 3/6

A whole number written as a fraction for this problem is 6/6.

If the problem was 7 4/9, it would 9/9

I'd the problem was 2 3/4, it would be 4/4.

So basically a whole number written as a fraction is when both the top and bottom number are the same. when divide by each other they equal one. 6 divided by 6 is 1, 9 divided by 9 is 1, 4 divide by 4 is 1.

First

Turn 5 3/6 into 5/1 + 3/6

Now add them to together

To add fractions together they have to have the same denominator or bottom number.

What is a number 1 and 6 have in common ?

6 because 1 can be multiplied with any number but 6 can never be multiplied to create 1.

5 is simple 5 whole numbers

so 5/1 × 6/6= 30/6

30/6 + 3/6 = 33/6

now it's an improper faction. There is no whole number, it been converted into a fraction where the top is bigger than the bottom hence why it is improper

Answer:

4  2/5

Step-by-step explanation:

4 is 4

0.40 is equal to 4/10 which is equal to 2/5

hoped this helped

Answer:

22/5

Step-by-step explanation:

Answer:

[tex]{ \sf{ = - (\frac{y}{x}) {}^{ - 1} }}[/tex]

Answer:

1.5 pounds of apples are in each pie

Step-by-step explanation:

to show our work, lets multiply 1.5 by 2.

(this is the distributive property. the method shown in the image is long multiplication, but they follow the same idea)

for the sake of simplicity, we will write 1.5 as 15.

5×2=10

10×2=20

10+20=30

dont forget the decimal point! since we have one digit in the decimal place, we move the decimal behind one digit in 30.

30.0 --> 3.0 or simply, 3.

this proves that there are 1.5 pounds of apples in each pie. hope this goes more in depth !!! :)

Answer:

15/22

Step-by-step explanation:

3/11 ÷ 2/5

3/11 x 5/2

3/11 x 5/2 = 15/22

3/11 divided by 2/5 is equal to 15/22.

Here, we have,

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Let's calculate 3/11 divided by 2/5:

(3/11) ÷ (2/5)

To divide, we multiply by the reciprocal:

(3/11) * (5/2)

Now, multiply the numerators together and the denominators together:

(3 * 5) / (11 * 2) = 15/22

Therefore, 3/11 divided by 2/5 is equal to 15/22.

To learn more on division click:

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#SPJ6

Answer:

Explaination down below

Step-by-step explanation:

Before you start this question, make sure you know this rule. When multiplying fractions, Multiply the numerator by the other numerator and multiply the denominator by the other one.

[tex]\frac{1}{5}[/tex] x [tex]\frac{1}{2}[/tex]. 1*1=1, so one is the numerator. 2*5= 10 so 10 is the denominator.

The final answer is [tex]\frac{1}{10}[/tex].

You could also look at it another way. What is one half of one-fifth?

That is another way to look at it.

If this helped, please mark me as brainliest. Thank you! ;)

Answer:

225

Step-by-step explanation:

x + y + z = 1305

x = 360

y = 360×2 = 720

z = 1305 - 360 - 720 = 225

Answer:

225

Step-by-step explanation:

since the first number is 360 and the second number is twice the first number meaning it's (360×2) which is 720,you have to add the two and subtract by 1305 to find the value of the third number(which I have represented by x)

360+720+x=1305

1080+x=1305

x=1305-1080

=225

therefore the third number is 225,you can prove it by adding the three to see whether you will get 1305.

I hope this helps

I think the answer is A and C!

Answer:

B) Keeping A constant and decreasing B

C) Increasing A and keeping B constant

Step-by-step explanation:

I did it on Khan Academy :)

Answer:

Here is the answer to your question. Stay blessed. Nice to help you.

Answer:

20

Step-by-step explanation:

This is because If we are looking for arena then we need to multiply the base by the height if we do this then our answer will be 40, but because we are looking at a triangle we will have to devide that by 2. Which will give us the final answer of 20

Answer:

area = 20 inches

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}[/tex] × Base × Height

= [tex]\frac{1}{2}[/tex] × 8 ×5

= [tex]\frac{1}{2}[/tex] × 40

= [tex]\frac{40}{2}[/tex]

= 20

area = 20 inches

Step-by-step explanation:

A 45° angle is complementary to angle

45°+x°=90°

I hope it helped U

stay safe stay happy

Answer:

x=4.25

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

8+8=4x-1

16=4x-1

4x=16+1

4x=17

x= 17/4

I have no idea if i am correct just a guesstimate

Have a good day

Answer:

98 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula for the area of a square when given the diagonal is:

A = [tex]\frac{1}{2}[/tex] [tex]d^{2}[/tex] Where d is the value of the diagonal so it becomes:

0.5 × 14 × 14

This is equal to 98 [tex]cm^{2}[/tex].

HOPE THIS HELPED

Answer:

V = 192π cm³ ≈ 603 cm³

Step-by-step explanation:

V = πR²h

V = π(8/2)²(12)

V = 192π cm³ ≈ 603 cm³

J = 3   Hooray, but why?

Answer:

Step-by-step explanation:

Radius r = 4 cm

Height h = 12 cm

Volume = πr²h = 192π cm³ ≈ 576 cm³

Answer:

B. 7 to the right of the 9

9+(-7)

=9-7=2

so, the 7 is on the right side of 9

Step-by-step explanation:

z = 5y/8

x = 3y/8

2x + 3y - z = 50

6y/8 + 3y - 5y/8 = 50

6y/8 + 24y/8 - 5y/8 = 50

25y/8 = 50

25y = 400

y = 16

x = 3y/8 = 3×16/8 = 3×2 = 6

z = 5y/8 = 5×16/8 = 5×2 = 10

Answer:

I can't understand what you have written and what to find

Answer:

Additive inverse of -11/5 => + 11/5

hope that helps uh..☺

Answer:

If " a " represent any rational number then " a + ( - a ) = 0" or " ( - a ) + a = 0 ". Thus " a " and " - a " are additive inverse of each other. Hence " 11 / 5 " is the additive inverse of " - 11 / 5 " .

Step-by-step explanation:

Answer:

Step-by-step explanation:

Oi boa tarde tudo bem

Answer:

25 hours

Step-by-step explanation:

Answer: ITS E!!!

Step-by-step explanation:

The correct answer would be -  between 30 to 40 ATPs per molecule of glucose.

In aerobic respiration macromolecules such as glucose break in the presence of oxygen to produce energy.  That occurs in mitochondria. The stages of aerobic respiration are glycolysis, the Krebs cycle and ETS.

Glycolysis is the first stage of cellular respiration that is a metabolic pathway of glucose that takes place in the cytosol. Here, the glucose molecule converts into two molecules of pyruvic acid or pyruvate that forms ATP and NADH as energy.

Two ATP molecules are produced by one molecule of FADH₂ and therefore the number of ATP produced from 2 FADH₂ is 4 ATP.

NADH produces three ATP molecules by each molecule and therefore the number of ATP produced from 8 NADH is 24 ATP.

The number of ATP produced from the one glucose molecule under aerobic respiration is given as follows:

From glycolysis = 6 ATP

From citric acid cycle = 2 ATP

From FADH₂ = 4 ATP

From NADH = 24 ATP

total 36 ATPs.

Under aerobic respiration 36 molecules of ATP are produced from one molecule of glucose thus, the correct answer would be - between 30 - 40.

Learn more about cellular respiration:

https://brainly.com/question/13721588

jet1 = 549 mi/h

jet2 = 620 mi/h

x= jet1

x + 71 = jet2

6 hours

6 * x

6 * x + 71

6x + 6x + 426 = 7014

12x = 7014 - 426

12x = 6588

x = 6588/12

x= 549

x + 71 = 620

wyzant

Answer:

irrational

Step-by-step explanation:

√5 is a non terminating and non recurring number therefore it can't be written as quotient of two numbers so it is irrational.

Note:if you need to ask any question please let me know.

Answer:

Y = (-2,-4)

Step-by-step explanation:

The ratio would be 1:5

so

1/5(6 - -4) + -4 , 1/5(-2 -3) +3

Endpoints of the segment XZ are [tex]X(x_1,y_1)[/tex] and [tex]Z(x_2,y_2)[/tex].

If a point Y(h, k) divides it in the ratio of m : n.

Then the coordinates of the point Y will be,

[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]

If the endpoints are [tex]X(-4,3)[/tex] and [tex]Z(6,-2)[/tex]and  point [tex]Y(h.,k)[/tex] divides the this segment in the ratio of [tex]1:5[/tex].

(h, k) = [tex](\frac{1(6)+(5)(-4)}{1+5},\frac{1(-2)+5(3)}{1+5})[/tex]

        = [tex](-\frac{14}{6},\frac{13}{6})[/tex]

        = [tex](-\frac{7}{3},\frac{13}{6})[/tex]

Lean more,

https://brainly.com/question/24407442