Work out, giving your answer as a mixed number:

4 2/3 + 1 3/4

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:

13 footballs and 13 basketballs

Step-by-step explanation:

Let f = footballs

b = basketballs

f=b since we are buying an equal number

9f+7b = 208

Substitute f=b

9f+7f = 208

16f = 208

Divide by 16

16f/16 = 208/16

f=13

We are buying 13 footballs

Since f=b

We are buying 13 basketballs

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:

A)

Step-by-step explanation:

676=676

Answer:

Step-by-step explanation:

-5x³ + 10x² = 10x² - 5x³   (Commutative property of addition)

                  = 2×(5x²) - x×(5x²)  

                  = 5x² × (2 - x)   (Factor out 5x²)

Answer:

−5x2(x − 2)

Step-by-step explanation:

I took the test

Answer:

21

Step-by-step explanation:

15/ 5/7 = 21

Answer:

a,b, and e

Step-by-step explanation:

i did the lesson on edge2020

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:

75.9

Step-by-step explanation:

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:

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.

Answer:

666 x 666 = 443,556

Answer:

443556

Step-by-step explanation:

666 * 666 = 443556

666

x666

-------

443556

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

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:

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

Answer:

B

Step-by-step explanation:

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:

d

Step-by-step explanation:

I took the test

Answer:

She would earn 728 $ in commission

Step-by-step explanation:

Answer:

70,560 ways

Step-by-step explanation:

This problem is an arrangement problem, as the order of the two people chose in each department matters.

So, for each department, we have an arrangement:

First department: arrange of 8 choose 2: A(8,2) = 8!/2! = 8*7 = 56

Second department: arrange of 6 choose 2: A(6,2) = 6!/2! = 6*5 = 30

Third department: arrange of 7 choose 2: A(7,2) = 7!/2! = 7*6 = 42

The total number of ways is the product of each number of arranges, so:

Number of ways = 56 * 30 * 42 = 70,560

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

Answer:Rounding a number is when you take a number and "bump it up" or "bump it down" to a nearby and "cleaner" number. A number can be rounded to any place value you want. If you type in a number you wish to round below, and select what place value you want to round it to, this selection will show you how to round it!

Step-by-step explanation:

Answer:

1 hour

Step-by-step explanation:

Answer:

539

Step-by-step explanation:

Let the total population of  grizzly bears=x

In the first capture, 97 were tagged.

Therefore, ratio of the total population to the tagged=x:97

A month later, when 200 bears were captured, 36 were tagged.

Ratio of the sample to the tagged=200:36

Since a sample is representative of the population, the ratios are the same. We therefore have:

x:97=200:36

[tex]\dfrac{x}{97} =\dfrac{200}{36}\\ $Cross multiply\\36x=200 X 97\\x=200 X 97 \div 36\\x=538.9 \approx 539[/tex]

There are about 539 grizzly bears in the population

Answer:

100

100

Step-by-step explanation:

1 person to 100 people

The scale factor is 100

The paper fits 1 muffin

now it will have to a muffin 100 times bigger

100 is the scale factor

Answer:

Multiply each side by 14.7

Step-by-step explanation:

cos 50 = m / 14.7

Multiply each side by 14.7

14.7 cos 50 = m /14.7 *14.7

 14.7cos 50 = m

Answer:

multiply both sides by 14.7

Step-by-step explanation:

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:

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:

First quartile: the lowest 25% of numbers.

Step-by-step explanation:

you're welcome.