A soup recipe makes 6 cups. How many people does it serve 3/4 of each serving is of a cup?

Mathematics

1 answer:

tamaranim1 [39]2 years ago

5 0

Answer:B 8

Step-by-step explanation: 6 ÷ 3/4 =8

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A square and a rectangle have equal areas. If the dimensions of

Katena32 [7]

Answer:

L = 3√5

Step-by-step explanation:

A square and a rectangle have equal areas.

Area of a square = Area of a rectangle

L² = H * W

If the dimensions of the rectangle are 15 units by 3 units,

L² = 15 * 3

L² = 45

Determine the length of the side of the square.

L = √45

L = 3√5

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2 years ago

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What percent of 153 is 81

Sav [38]

Answer:

Step-by-step explanation:

81/153 x/100

81•100=8,100

8,100/153

52.9

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a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?

Kruka [31]

Find the length of the radius.

$r= \sqrt{(3-(-4))^2+(5-6)^2}
\\r = \sqrt{7^2+(-1)^2}
\\r= \sqrt{50} 
\\ r=5 \sqrt{2}$

Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

$y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)
\\y-6= \frac{5-6}{3-(-4)} (x-(-4))
\\y-6=- \frac{1}{7} (x+4)
\\7y-42=-x-4
\\x+7y-38=0$

The distance from B(x, y) to C(3, 5) is 5√2.
$\sqrt{(x-3)^2+(y-5)^2}=5 \sqrt{2} 
 \\(x-3)^2+(y-5)^2=(5 \sqrt{2})^2 
\\(x-3)^2+(y-5)^2=50$

Solve system of equations.
$x+7y-38=0
\\(x-3)^2+(y-5)^2=50
\\
\\x=38-7y
\\(38-7y-3)^2+(y-5)^2=50
\\(35-7y)^2+(y-5)^2=50
\\1225-490y+49y^2+y^2-10y+25-50=0
\\50y^2-500y+1200=0
\\y^2-10y+24=0
\\y^2-6y-4y+24=0
\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4
$

$x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10
$

Point B could have coordinates
$\\
\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)
$

But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).

8 0

2 years ago

HURRY !!!!!!!!!! Which choices correctly describe reflections in the diagram? Check all that apply. On a coordinate plane, trian

defon

Answer:

The correct choices are B, C, and D

Step-by-step explanation:

I took the test on Edge 2020