What is the volume of a box with a height of 3/2 inches, a length of 7/2 inches, and a width of 5/2 inches.

Answer:

0.37 goldfish per cubic feet

Step-by-step explanation:

Density has the formula = number/volume

Density = 19/52 = 0.36538 which is rounded to 0.37

Answer:

0.37 goldfish / cu ft. (to the nearest hundredth).

Step-by-step explanation:

Density = number of goldfish / volume of the tank.

That is  19 / 52

= 0.37 goldfish / cu ft.

Step-by-step explanation:

if 2.5kg=£1.40

then 4.25kg=!

then cross multiply

4.25×1.40=2.5

5.95÷2.5kg=£2.38

Answer:

4.25 kg = £2.38

Step-by-step explanation:

The formula for working out the price per quantity is : [tex]\frac{Price}{Amount}[/tex]

To work this out you would first need to convert the mass of 2.5 kilograms into grams. You can do this by multiplying 2.5 by 1000, this gives you 2500 grams. This is because 1 Kg is equivalent to 1000 g and so by multiplying it by 1000 we are converting the kilograms into grams.

Then the next step is to divide the price of £1.40 by the quantity of 2500, this gives you 0.00056. This is because we are working out how much it costs for 1 g of potatoes.

Now that we know the price per gram we can now start working out the price of 4.25 kg. You can do this by first multiplying the mass of 4.25 kg by 1000, this gives you 4250. This is because we are converting the kilograms into grams.

The final step is to multiply the price per gram which is 0.00056 by 4250, this gives you £2.38.

1) Multiply 2.5 by 1000.

[tex]2.5*1000=2500[/tex]

2) Divide 1.40 by 2500.

[tex]1.40/2500=0.00056[/tex]

3) Multiply 4.25 by 1000.

[tex]4.25*1000=4250[/tex]

4) Multiply 0.00056 by 4250.

[tex]0.00056*4250=2.38[/tex]

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is [tex]-\dfrac{\sqrt{3}}{2}[/tex] are [tex]\dfrac{4\pi}{3}[/tex] and [tex]\dfrac{5\pi}{3}[/tex], otherwise known as [tex]-\dfrac{\pi}{3}[/tex]. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show [tex]-\dfrac{\sqrt{3}}{2}[/tex].

Answer:

d. 13 raise power 3/5

Step-by-step explanation:

Answer:

Photoreceptors

Step-by-step explanation:

This is the answer but I don't see it on there . . .

Question:This is a light sensitive tissue that lines the back of the eye

Answer: Retina

Answer:

5/4=1 1/4

Step-by-step explanation:

you have to turn the bottom number the same as the other one by multiplying it by 2,you have to do the for the top and it together to get your answer

Answer:

1 1/4

Step-by-step explanation:

1/2 + 2/4. 2/4 + 3/4 = 5/4 = 1 1/4

Answer:

Mostafa's maple tree grows at a slower yearly rate than an oak tree.

Step-by-step explanation:

Given that:

An oak tree grows at a rate of 1.5 feet per year for twelve years;

After 12 year; the oak tree will be = 12 × 1.5 = 18 feet per year.

Now; we are being told that Mostafa plants a maple tree at his backyard and measures its height at 4 feet.

i.e x years  = 4 ft

two years later ; it height is now 6.5 ft

thus;

x year = 4 ft

x + 2 = 6.5 ft

[tex]6.5 * x = (x+2)4\\ \\ 6.5 x = 4x + 8\\ \\ 6.5x-4x = 8\\ \\ 2.5x = 8\\ \\ x = \dfrac{8}{2.5}\\ \\ x = 3.2[/tex]

Thus ; Mostafa first measured the height of the tree when it is 4 ft at the age year of  3.2

So;

if 3.2 year = 4 ft

1 year = x

x  = [tex]\dfrac{4 *1 }{3.2}[/tex]

x  = 1.25 ft

So if an oak tree grows at the rate of 1.5 ft in a year.

Then, Mostafa's maple tree grows at the rate of 1.25 ft in a year.

From the given information in the diagram attached below; we can infer that :

Mostafa's maple tree grows at a slower yearly rate than an oak tree.

to find the area of the figure, you first need to find the area of the separate figures: a triangle and a square.

first, find the area of the triangle:

multiply 13 and 5 to get 65.

divide 65 by 2.

32.5.

then, find the area of the rectangle:

multiply 5 and 14 to get 70.

add those answers up, and you get:

102.5

Answer:

3 hours

Step-by-step explanation:

let h be the hours of tuition, then

11h + 8.5 ← models the cost of Leda's tuition

10.5h + 10 ← models the cost of Thanh's tuition

Equate the 2 and solve for h

11h + 8.5 = 10.5h + 10 ( subtract 10.5h from both sides )

0.5h + 8.5 = 10 ( subtract 8.5 from both sides )

0.5h = 1.5 ( divide both sides by 0.5 )

h = 3

Thus after 3 hours the price would be the same for both instructors

the best would be the first choice because it's 7 dollars less than the second choice

Answer:

1/4 of the cake.

Step-by-step explanation:

Since he ate 1/3 of 3/4 of the chocolate cake, we will need to multiply fractions to solve this.

[tex]\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}[/tex]

Therefore, he ate 1/4 of the entire cake.

Answer:

324 in^2

Step-by-step explanation:

If you transfer the 9 ft to inches you get 108 in

108x3=324

Answer:

21

Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.

Answer:

On the circle

Step-by-step explanation:

The distance between D and G is:

[tex]\sqrt{(-1-(-10))^2+(3-1)^2}=\sqrt{9^2+2^2}=\sqrt{81+5}=\sqrt{86}[/tex]

If point J is not exactly this far, then it is not on the circle.

[tex]\sqrt{(-1-(-3))^2+(12-3)^2}=\sqrt{2^2+9^2}=\sqrt{5+81}=\sqrt{86}[/tex]

Therefore, it is on the circle. Hope this helps!

Answer:39?

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

+ Total age of 5 people: 37 x5 = 185

+ Total age of 6 people (when 1 person enters the room): 38 x 6 = 228

+ The age of the person who enter the room is: 228 - 185 = 43 age

Answer:

A)

Step-by-step explanation:

676=676

Answer:

x = 3, y = 2

Step-by-step explanation:

~ Through process of elimination ~

1.         - 8x + 2y = -20      

        +   8x - 5y = 14

2. Simplify to solve for y through simple algebra:

          2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2

3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:

- 8x + 2 ( 2 ) = -20  ⇒

    -8x + 4 = -20 ⇒

       -8x = -24 ⇒

           x = 3

Answer:

10

Step-by-step explanation:

10 x 2 = 20

10 = 20 / 2

Answer:

10

Step-by-step explanation:

2×1=2

2×2=4

2×3=6

2×4=8

2×5=10

2×6=12

2×7=14

2×8=16

2×9=18

2×10=20

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

Answer:

-1 -8

Step-by-step explanation:

Answer:

(1,8)

Step-by-step explanation:

only point that doesn't go through other lines

Answer:

A

Step-by-step explanation:

We are looking for 2 numbers with a product of -35 and a sum of -2. These are -7 and 5, so the factored version would be (w + 5)(w - 7), or A.

Answer:

66?lol

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

hope this helped i had this same question and i answered it

Answer:

Step-by-step explanation:

Answer of this question is 2

Answer:

Step-by-step explanation:

Answer:

1 hour

Step-by-step explanation:

Answer:

2√2

Step-by-step explanation:

r(t) = (2t, t²)

v(t) = dr/dt

v(t) = (2, 2t)

v(1) = (2, 2)

|v(1)| = √(2² + 2²)

|v(1)| = 2√2

Answer:

B,C,E

Step-by-step explanation:

khan academy

Side length of the scaled copy of square is smaller than original.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given,

Scale factor of scaled copy of square is less than 1.

Scale factor basically defines the ratio between the sides of the constructed square to that of the original square.

if scale factor is less than 1 then the sides of the constructed square is smaller than that of the original square.

Hence, side length of constructed square is smaller than the original square.

Learn more about scale factor here:

https://brainly.com/question/30215119

#SPJ2

Since it is a perfect square trinomial, it is of the form:

a^2x^2-2abx+b^2 which simplifies to (ax-b)^2

Therefore:

sqrt(a)=sqrt(25)=5

sqrt(b)=sqrt(36)=6

Plug in a and b:

(ax-b)^2

(5x-6)^2

Test to make sure it did fit the formula:

-2abx=-60   (where x is 1)

-2(5)(6)=-60

-2(30)=-60

-60=-60

Answer:

(5x-6)^2

Answer: d (A,B) = 9

Step-by-step explanation: d(A,B) = √(xB - xA)^2 + (yB - yA)^2

                                              d(A,B) = √(8-(-1))^2 + (-3 - (-3))^2

                                              d(A,B) = √81 + 0    

                                              d(A,B) = 9                                        

Answer:

I'm super sorry that i can't help but if i could get you to my brother and ask him for his number i bet he'll be able to help. ;) and if u r a girl he's pretty desperate for a girlfriend so ..... yeah

Step-by-step explanation:

hope this helps and also hope my brother can help byyyyyeeeee