Mr. Mueller decided to make a healthy snack for the 20 students in his class. He gave each student a dish of yogurt, and divided 6 cups of strawberries equally among the dishes.
How many cups of strawberries did each student get in their yogurt?
Write your answer as a proper fraction or mixed number.

9514 1404 393

Answer:

  BC = 6

Step-by-step explanation:

Tangents from the same point are congruent, so ...

  2x = x+3

  x = 3 . . . . . . . subtract x

  BC = x+3 = 3+3 = 6 . . . . . . substitute for x

The length of BC is 6.

Step-by-step explanation:

In order to convert 45/8 to mixed number, you follow these steps :

Divide the numerator by the denominator. 45 ÷ 8 = 5 with a remainder of 5.

Write down the whole number 5 and then write down the remainder as new numerator (5) above the denominator (8), As below : 5 58

Answer:

there will be about 115 customer

Step-by-step explanation:

the y intercept is 2.5

(0,2.5)  (100 ,35)

the slope is (y2-y1)/(x2-x1)

m = (35-2.5)/(100-0)

m= (32.5)/100

m = .325

y = mx+b

y = .325x+2.5

let y =40  for 40 cars in all the spot

40 = .325 x + 2.5

subtract 2.5

37.5 =.325 x

divide by .325

37.5 /.325 = x

115.4 = x

there will be about 115 customer

Answer:

Im not sure but i think it might be: 2(x+5.1)=50.5

Step-by-step explanation:

2(x+5.1)=50.5

Answer:

-2 +19i

Step-by-step explanation:

(3 + 8i) − (5 − 11i)

Distribute the minus sign

(3 + 8i) − 5 + 11i

Combine the real parts together and the imaginary parts together

(3-5)+(8+11)i

-2 +19i

Answer:

The answer to the question is 19i -2

Answer:

0.36

Step-by-step explanation:

Answer:

35°

Step-by-step explanation:

Angles on a straight line add up to 180, so 180-145 is equal to

Answer:

4x^2+289 or if you want it simplified its 2x+17

Step-by-step explanation:

2x+5+12= 2x+17

2x+17^2=4x^2+289

Answer:

3/42 or 1/14 if they have you reducing the number

Step-by-step explanation:

There are only 3 cans of black bean soup in the whole pantry. 3 is our numerator.

The denominator will be the total number of cans in the pantry, so

22 + 3 + 12 + 1 + 4 = 42

If you took a can of soup out of the pantry 42 times, 3 times it would be black bean soup

Answer:

5

Step-by-step explanation:

Use the distance formula: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sqrt{(-5-(-9))^2+(-5-(-2))^2} \\\\\sqrt{(4)^2+(-3)^2}\\\\\sqrt{16+9}\\\\\sqrt{25}\\\\5[/tex]

Answer:

EQUATION: c = 2.50m + 3

Step-by-step explanation:

you know the equation is C = 2.50m + 3 because if you look at the sentence and pick it apart to better understand it you'll see in the first sentence that 3 PLUS 2.50 PER MILE. your key words are of course plus and per mile. So, in conclusion you say for every mile you have to pay 2.50 but they don't give you the number for how many miles you'd drive so automatically it's your missing value.

Answer:

k = - 18

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 2

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 12) and (x₂, y₂ ) = (6, k)

m = [tex]\frac{k+12}{6-3}[/tex] = [tex]\frac{k+12}{3}[/tex] = - 2 ( multiply both sides by 3 )

k + 12 = - 6 ( subtract 12 from both sides )

k = - 18

Answer:

[tex]a^{2} +b^{2} =c^{2} \\9^{2} +20^{2} =c^{2} \\21.93=c[/tex]

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

I'm not sure if this is correct. I just want to help you and have brainiest

so I used this formula

c²=a²+b²

26²=a²+10²

676=a²+100

676-100=a²

576=a²

√576=24

Answer:

3 and -4

Step-by-step explanation:

this is simple but difficult

let the number be x and second number be y

3x + 2y=1

x-y/2=5

from the 2nd equation

x-y/2=5

x=5+y/2

substitute value for x into equation 1

3x + 2y=1

3(5+y/2) + 2y= 1

15 +3y/2 +2y=1

15 + 7y/2=1

7y/2= 1 - 15

7y/2=-14

cross multiply

7y= -28

y= -28/7

y= -4

therefore second number is -4

substitute value for y into 1st equation

3x + 2y=1

3x + 2(-4) = 1

3x - 8= 1

3x= 1+8

3x= 9

x= 9/3

x= 3

therefore first number is 3

therefore two numbers are;

3 and -4

Answer:

24 degrees

Step-by-step explanation:

The sum of the exterior angles of a triangle is 360 degrees

2x + 6x + 7x = 360

15x = 360

x = 24

Answer:

x=24

Step-by-step explanation:

2x+6x+7x=360
15x=360

15x/15=360/15
x=24

Answer:

Option B and Option C

Step-by-step explanation:

If all trees in a forested area are cut down, in the following ways the air composition will change in that area:

Carbon dioxide levels increase

Oxygen levels decrease

the answer to ur question is 156

Answer:

(4, -3)

Step-by-step explanation:

(-4, -3) reflected y-axis => (4, -3)

Answer:

A. 41

B. 1,590

C. .1

Step-by-step explanation:

A.

the equation is l*w=A

9.2*4.5=A

41.4=A

rounded it would be 41

B.

the equation is pi*r^2=A

3.14*22.5^2=A

3.14*506.25=A

1,589.6=A

^round this up to get 1,590

C.

what I did was use a*b/2 to find one side then add the other side (less complicated in my opinion)

.5*.2/2=A

.1/2=A

.05=A

.05+.05=0.1

Answer:

[tex]\text{a. }41.4\:\mathrm{m^2},\\\text{b. }1590.4\:\mathrm{cm^2},\\\text{c. }0.1\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Part A:

The figure implies a rectangle. The area of a rectangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=bh[/tex].

What we're given:

Therefore, the area of the rectangle is [tex]9.2\cdot 4.5=\boxed{41.4\:\mathrm{m^2}}[/tex]

Part B:

The figure shows a circle. The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. In the figure, the diameter is marked as 45 cm. To find the radius, we must divided this by 2, because by definition, the radius if half the diameter. Therefore, [tex]r=\frac{45}{2}=22.5\:\mathrm{cm}[/tex] and the area of this circle, rounded to the nearest tenth, is [tex]22.5^2\pi=1590.43128088\approx \boxed{1590.4\:\mathrm{cm^2}}[/tex]

Part C:

The figure shows a triangle (polygon with three sides). The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=\frac{1}{2}bh[/tex].

What we're given:

Substituting given values, we get:

[tex]A=\frac{1}{2}\cdot 0.4\cdot 0.5=\boxed{0.1\:\mathrm{m^2}}[/tex]

Answer:

68°

Step-by-step explanation:

Refer to the picture above. Therefore,

angle NKQ + 90 + 90 + 112 = 360

angle NKQ = 68°

Answer:

$54.50

Step-by-step explanation:

10% = 10/100

=545 × 10/100

=5450/100

=54.5

Answer:

- [tex]\frac{2}{3}[/tex] and [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = S(12, 9) and (x₂, y₂ ) = T(21, 3)

[tex]m_{ST}[/tex] = [tex]\frac{3-9}{21-12}[/tex] = [tex]\frac{-6}{9}[/tex] = - [tex]\frac{2}{3}[/tex]

Repeat with

(x₁, y₁ ) = S'(4, 3) and (x₂, y₂ ) = T'(7, 1)

[tex]m_{S'T'}[/tex]  = [tex]\frac{1-3}{7-4}[/tex] = - [tex]\frac{2}{3}[/tex]

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

(x₁, y₁ ) = R(24, 18) and (x₂, y₂ ) = S(12, 9)

[tex]m_{RS}[/tex] = [tex]\frac{9-18}{12-24}[/tex] = [tex]\frac{-9}{-12}[/tex] = [tex]\frac{3}{4}[/tex]

Repeat with

(x₁, y₁ ) = R'(8, 6) and (x₂, y₂ ) = S'(4, 3)

[tex]m_{R'S'}[/tex] = [tex]\frac{3-6}{4-8}[/tex] = [tex]\frac{-3}{-4}[/tex] = [tex]\frac{3}{4}[/tex]

Answer:

Length arc AB = 3.14 in

Step-by-step explanation:

Length of arc AB = central angle/360 * 2πr

Central angle = 30°

Radius (r) = 6 in.

Substitute

Length of arc AB = 30/360 * 2*π*6

Length arc AB = 3.14 in. (Nearest tenth)

Answer:

3.14

Step-by-step explanation:

its just right

Answer:

Help on wat

Step-by-step explanation:

Huh

Answer:

1/15

Step-by-step explanation:

sin P = ON / PN = 2/30 = 1/15

Answer:

the answer is 1/15 hope it helps