Sixty students took a math test. The percentages of students who scored an A, B, C, or D are displayed in the circle graph, but the labels are missing. If the largest category in the graph represents those who scored an A, how many students scored an A?

Answer:

252

Step-by-step explanation:

I'm assuming the people are different, so it should be 10 choose 5, or 10!/(5!)(10-5)!, which leads to 3628800/14400, or 252.

[tex] {y}^{2} = 49[/tex]

Move the square to the right-hand side and convert it to underoot

[tex]y = \sqrt{49} [/tex]

Calculate the root of 49

[tex]y = 7 \:or -7[/tex]

Answer:

y = +7 or -7

Step-by-step explanation:

y^2 = 49

square rooting both sides

y = √49

y = +7 or -7

The length of the ramp is  96.5

Given the following parameters from the question

The vertical rise of the ramp = 8 inches

The angle of elevation =  4.76°.

Required

length of the ramp

Using the SOH CAH TOA identity;

tan theta = opp/hyp

sin4.76 = 8/H
H = 8/sin4.76

H = 8/0.0829

H = 96.5

Hence the length of the ramp is  96.5

Learn more on SOH CAH TOA here; https://brainly.com/question/20734777

Answer:

SOLUTION,

HERE,

Area of whole fig= l×b

=5×15

=75 sq.in

Area of unshaaded part=l×b

=3×8

=24 sq.in

Area of shaded part=(Area of whole fig)-(Area of unshaded part)

=75-24

=51 sq.in

hope it helps u :)

Answer: 17

Step-by-step explanation:

B/c corresponding parts of congruent figures are congruent,

4s = 68

s = 17

Answer:

17

Step-by-step explanation:

C = R

4s = 68

[tex]s = \frac{68}{4} [/tex]

s = 17

Answer:

Step-by-step explanation:

I am married. I can tell you, I'd never give any answer but yes, no matter how I felt about her at the time.

Answer:

1 : 3, 3 : 9, and 6 : 18

Step-by-step explanation:

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Answer:

1 : 3, 2 : 6, and 3 : 9

Step-by-step explanation:

In the fraction 5/15, 5 is equivalent to one-third of 15. That means we need ratios with the second number being  3 times greater than the first. For example, 3 is 3  times greater than one, 6 is 3  times greater than 2, and 9 is  3  times greater than 3.

Given :

To Find :

Solution :

Let us suppose ,

→ CP = Rs x

Therefore the profit will be ,

→ Profit = SP - CP

→ Profit = 208 - x

Now we know that ,

→ Profit% = profit/CP * 100

Substituting the respective values ,

→ 4 = (208-x)/x * 100

→ 4 * x = (208- x)*100

→ 4x = 20800 - 100x

→ 100x + 4x = 20800

→ 104x = 20800

→ x = 20800/104

→ x = 200

Hence the cost price is Rs 200.

I hope this helps.

Refer to the attachment!

Answer:

R330

Step-by-step explanation:

2 + 3 = 5

5x = 825

2x = 825 x 2/5

825 x 2 = 1650

1650/5 = 330

Mandy makes R330.

Mandy's share from the profit is R495

Data;

This is the portion shared between two or more entities in a definite proportion.

To find Mandy's share, let's add 2 and 3 and then take the fraction of 3/5 and multiply it by the profit made.

[tex]2 + 3 = 5\\\frac{3}{5} * 825 = 495[/tex]

Mandy's share from the profit is R495

Learn more on ratio here;

https://brainly.com/question/2914376

Answer:

choice a

Step-by-step explanation:

angle 45 means, its a isosceles triangle.

so y = √3

x^2 = 3+3= 6

x = √6

Answer:

Step-by-step explanation:

Let x represent the width of the garden. Then its length is 3x-1 and its area is ...

  A = LW . . . . . . . . . . . . area of a rectangle is length times width

  A = (3x -1)(x) = 150

  3x^2 -x = 150

  x^2 -1/3x +1/36 = 50 +1/36 . . . . divide by 3 and complete the square

  x -1/6 = √(50+1/36) . . . . . . . . . take the square root

  x = (1 +√1801)/6 ≈ 7.2397 . . . width of Chanda's garden

The length will be ...

  3x -1 = 3(1 +√1801)/6 -1 = (1 +√1801)/2 -1 = (-1 +√1801)/2 ≈ 20.7191

To the nearest tenth meter, the garden is 20.7 m long and 7.2 m wide.

Answer:

The exponent is different from each other. One exponent is 3/4 and the other is 2/4. These make the value different.

Step-by-step explanation:

Answer:

[tex]2x + 2y = 14 \: .....(1) \\ \\ 5x - 2y = 14 \: .....(2) [/tex]

From equation (1) ;

[tex]2x + 2y = 14 \\ \\ 2y = 14 - 2x \\ \\ y = \frac{14 - 2x}{2} \\ \\ y = 7 - x[/tex]

Substitute in equation (2)

[tex]5x - 2y = 14 \\ \\ 5x - 2(7 - x) = 14 \\ \\ 5x - 14 + 2x = 14 \\ \\ 7x = 14 + 14 \\ 7x = 28 \\ \\ x = \frac{28}{7} \\ \\ x = 4[/tex]

[tex]y = 7 - x \\ y = 7 - 4 \\ \\ y = 3[/tex]

Answer:

a) n = 4 , t = ?

[tex]t = 5 {n}^{2} + 15 \\ \\ t = 5 {(4)}^{2} + 15 \\ \\ t = 5(16) + 15 \\ \\ t = 80 + 15 \\ \\ t = 95 \: min[/tex]

__o__o__

b) n = ? ,

t = 2hours 20mins ––> t = (2× 60) mins + 20 mins

t = 120 + 20 = 140 mins

so; time in the mins = 140 mins

[tex]t = 5 {n}^{2} + 15 \\ \\ 140 = 5 {n}^{2} + 15 \\ \\ 5 {n}^{2} = 140 - 15 \\ \\ 5 {n}^{2} = 125 \\ \\ {n}^{2} = \frac{125}{5} \\ \\ {n}^{2} = 25 \\ \\ n = 5[/tex]

so ; five people in 2hours 20mins

Answer:

2 : 5

7

56/7 = 8

8x2= 16

8x5=40

40 + 16 = 56

Basel get $40.00

Answer:

(4x + 3)(4x - 3)

Step-by-step explanation:

I am going to assume by 16x2 -9 you mean 16x² - 9

     The factorization means the factors are "broken" up. If you multiply them together, we will reach 16x² - 9 again.

     First, we can look at factors of 9. This gives us 1, 3, and 9. We will use 3. Since the nine is negative, one will be + 3 and one will be - 3 since a negative times a positive is a negative.

(   + 3)(   - 3)

     Last we can factor the 16x² portion. I know that 4 times 4 is 16, and 4x times 4x is 16x².

(4x + 3)(4x - 3)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

Step-by-step explanation:

I'm going to guess that the question is "How do you represent the distance between the left and right sides?"

The red dots are closed which means that the end points are included.

5 ≤  x  ≤  8

The length is 8 - 5 = 3

let's firstly convert the mixed fractions to improper fractions and then divide them.

[tex]\stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}} ~\hfill \stackrel{mixed}{1\frac{5}{9}}\implies \cfrac{1\cdot 9+5}{9}\implies \stackrel{improper}{\cfrac{14}{9}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{14}{3}\div\cfrac{14}{9}\implies -\cfrac{~~\begin{matrix} 14 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{3}\cdot \cfrac{9}{~~\begin{matrix} 14 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{9}{3}\implies -3[/tex]

Answer:

-3

Step-by-step explanation:

Lets convert 4 2/3 to an improper fraction

-(4 * 3/3 + 2/3)/1 5/9

Combine 4 and 3/3

-(4 * 3/3 + 2/3)/1 5/9

Combine numerator over denom

-4 * 3 + 2/3/1 5/9

Simplify numerator

-12 + 2/3/1 5/9

Add 12 and 2

-14/3/1 5/9

Now we convert 1 5/9 to an improper.

-14/3/(9/9) + (5/9)

Combine

-14/3/(9 + 5)/9

Add 9 and 5

-14/3/(14/9)

Multiply yhe numerator by the reciprocal of the denom

-14/3 * 9/14

14(-1)/3 * 9/14

-1/3 * 9

Cancel the common factor of 3

-1/3 * (3(3))

-1 * 3 = -3

Answer:

no no no yes

Step-by-step explanation:

i got it on my test and i was correct

[tex]36-b ^ { 2 } -c ^ { 2 } +2bc\\= 36-\left(b^{2}+c^{2}-2bc\right) \\= 6^{2}-\left(b-c\right)^{2} \\=\boxed{ \left(6-b+c\right)\left(6+b-c\right) }[/tex]

Hope it helps ⚜

Answer:

x= 21/4

Step-by-step explanation:

1- Convert the expressions

5 ( x - 3 3/4 ) = 7 1/2

2- Remove the parentheses

5 ( x - 15/4 ) = 15/2

3- Move the constant to the right

5x - 75/4 = 15/2

4- Calculate the sum

5x = 15/2 + 75/4

5- Divide both sides

5x = 15/2 + 75/4

Answer:

so therefore the final answer will be 16

Answer:

32 quarts

Step-by-step explanation:

1 gallon = 4 quarts

⇒ 8 gallons = 8 x 4 = 32 quarts

Answer:

32 quarts

Step-by-step explanation:

Khan

Answer:

the diameter is 14cm

Step-by-step explanation:

to get the circumference of a circle you would need to times the diameter (d) by pi or in this case n which is 3.1

this result is 43.4cm

now to figure out the diameter we would have to reverse this so the equation would be

d=43.4/n

which is the same as d= 43.4/3.1

the result of this is d= 14

so the diameter is 14cm.

deserving of brainliest?

Answer:

Reflection across y

Step-by-step explanation:

Y is the line up and down. Each shape is a reflection of each other across this line.