A pitcher contains 6 3/4 cups of juice. The juice is poured into sample cups that each hold 1/2 cup. How many samples are poured from the pitcher?

Answer:

m∠BCD = 24°

Step-by-step explanation:

By the theorem,

"Angle subtended by an arc at the center of the circle is twice in measure of the angle subtended at the circumference."

m(∠BOD) = 2(m∠BFD)

                = 2(78°)

                 = 156°

Therefore, m(arc BD) = m∠BOD = 156°

Since, m(arc BD) + m(arc BFD) = 360°

156° + m(arc BFD) = 360°

m(arc BFD) = 360 - 156

                   = 204°

Since, "angle formed outside the circle by the intersection of two tangents measure half of the difference of the intercepted arcs".

m∠BCD = [tex]\frac{1}{2}[m(\text{arc BFD})-m(\text{arc BD})][/tex]

              = [tex]\frac{1}{2}[204 - 156][/tex]

              = 24°

Answer:

1014.73 in³/s

Step-by-step explanation:

We know the volume of a cylinder, V = πr²h where r = radius of cylinder and h = height of cylinder.

Now, to find the rate of change of volume, we differentiate it with respect to time. So

dV/dt = d(πr²h)/dt

= πhdr²/dr × dr/dt + πr²dh/dh × dh/dt

= 2πrh × dr/dt + πr² × dh/dt

when r = 17 in, dr/dt = rate of change of radius = + 7 in/s, h = 5 in and dh/dt = rate of change of height = - 3in/s (negative since it is decreasing).

So, dV/dt = 2πrh × dr/dt + πr² × dh/dt

= 2π × 17 in × 5 in × (+ 7 in/s) + π(17 in)² × (- 3 in/s)

= 1190π - 867π

= 323π in³/s

= 1014.73 in³/s

Answer:

G. 8.625 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of first rectangle:

Area of second rectangle:

Area of triangle:

Put them together:

I hope this helps!

Answer:

16) The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.

17) The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.

Step-by-step explanation:

we need to determine if the ratios form the proportions.

16) [tex]\frac{5}{27},\frac{3}{16.2}[/tex]

If the ratios are proportional, their cross product will be equal. i.e. [tex]\frac{a}{b}=\frac{c}{d}[/tex]

So, finding cross product and checking:

[tex]\frac{5}{27}=\frac{3}{16.2}\\5(16.2)=3(27)\\81=81[/tex]

Since the cross product is equal i.e. 81=81 so, the ratios are proportional.

The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.

17) [tex]\frac{34}{9},\frac{25}{7}[/tex]

If the ratios are proportional, their cross product will be equal. i.e.

[tex]\frac{a}{b}=\frac{c}{d}\\ad=cb[/tex]

So, finding cross product and checking:

[tex]\frac{34}{9}=\frac{25}{7}\\7(34)=25(9)\\238\neq 225[/tex]

Since the cross product is not equal i.e. 238≠225 so, the ratios are not proportional.

The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.

Step-by-step explanation:

Your question is not well understood

Answer:

number 2 I'm pretty sure but wait for another answer jsut to double check

Answer:

I think the 2nd one, -2¾ < -1½, as for -1½ is bigger than -2¾.

Answer:

5,070

Step-by-step explanation:

Answer:

14.6

Step-by-step explanation:

I have to say I hate it is a celebrity worth knowing about a person

Answer: table 1.

Step-by-step explanation: This is because the x-axis is going up by 2 and the y-axis is also going up by 2. There is a pattern and when you would graph it, it will be linear as it goes up by the same amount

Answer:

y-10=2/3(x-8)

Step-by-step explanation:

(y2-y1)/(x2-x1) is the equation for slope so put your points in you get 2/3 once simplified then its just a matter of putting points in the equation y-y1= m(x-x1)

Answer:

d

Step-by-step explanation:

Answer:

fourth option

Step-by-step explanation:

Since the sides are congruent, then the diagonal divides the square into 2 right isosceles triangles.

Thus the 2 base angles are congruent with measure 45°

Hence y = 45

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

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 5[tex]\sqrt{2}[/tex]

Answer:

The x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5

Hence, option A) i.e. -0.5 is correct.

Step-by-step explanation:

Given the system of equations

2.4x - 1.5y = 0.3

1.6x + 0.5y = -1.3

solving the system of equations

[tex]\begin{bmatrix}2.4x-1.5y=0.3\\ 1.6x+0.5y=-1.3\end{bmatrix}[/tex]

Multiply 2.4x - 1.5y = 0.3 by 2

Multiply 1.6x + 0.5y = -1.3 by 3

so the system of equations becomes

[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.8x+1.5y=-3.9\end{bmatrix}[/tex]

so

[tex]4.8x+1.5y=-3.9[/tex]

[tex]-[/tex]

[tex]\underline{4.8x-3y=0.6}[/tex]

[tex]4.5y=-4.5[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.5y=-4.5\end{bmatrix}[/tex]

solve 4.5y = -4.5 for y

[tex]4.5y=-4.5[/tex]

Multiply both sides by 10

[tex]4.5y\cdot \:10=-4.5\cdot \:10[/tex]

Refine

[tex]45y=-45[/tex]

Divide both sides by 45

[tex]\frac{45y}{45}=\frac{-45}{45}[/tex]

Simplify

[tex]y=-1[/tex]

For 4.8x - 3y = 0.6, plug in y = -1

[tex]4.8x-3\left(-1\right)=0.6[/tex]

[tex]4.8x+3\cdot \:1=0.6[/tex]

[tex]4.8x+3=0.6[/tex]

Multiply both sides by 10

[tex]4.8x\cdot \:10+3\cdot \:10=0.6\cdot \:10[/tex]

Refine

[tex]48x+30=6[/tex]

Subtract 30 from both sides

[tex]48x+30-30=6-30[/tex]

Simplify

[tex]48x=-24[/tex]

Divide both sides by 48

[tex]\frac{48x}{48}=\frac{-24}{48}[/tex]

simplify

[tex]x=-\frac{1}{2}[/tex]

or

[tex]x = -0.5[/tex]

Thus,

(x, y) = (-0.5, -1)

Therefore, the x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5

Hence, option A) i.e. -0.5 is correct.

Step-by-step explanation:

Given

[tex] p \: = \frac{1}{3} \\ 12p \: = 12 \times \frac{1}{3} \\ = 4[/tex]

Hope it will help :)

Answer:

4

Step-by-step explanation:

as p = 1/3

12p = 12×*(1/3) [because p =1/3]

= 12/3

= 4

Answer:

56.55m³

Step-by-step explanation:

use a calculator, not brainly

Answer:

B

Step-by-step explanation:

Answer:

x ≥ -7

Step-by-step explanation:

Divide both sides by 6

Then to graph it, you can make a number line

Answer:

Step-by-step explanation:

Solve 6x ≥ − 42for x by dividing both sides by 6.  We get:

x ≥ − 7

Now draw a vertical line (solid) through x = -7.

Finally, shade the area including and to the right of x = -7.

Answer:

Cost of one CD = $9.98

Step-by-step explanation:

Total cost = $214.60

Total shipping and handling fee = $15.00

Number of CDs = 20

Cost of 20 CDs = Total cost - Total shipping and handling fee

= $214.60 - $15.00

= $199.60

Cost of one CD = $199.60 / 20

= $9.98

Cost of one CD = $9.98

Answer:

$9.98

Step-by-step explanation:

took a test and got the question right (this was the answer)

Answer: 12 + 21y

Step-by-step explanation:

Answer:

12 + 21y

Step-by-step explanation:

Answer:

y = -3/2 + 8 and/or 3x + 2y = 16

Step-by-step explanation:

(x,y) is helpful to remember

*I believe I'm correct, but I would recommend a quick double-check

Answer:

Slope -1 , y intersept is (0,4)

Answer:

Y intercept=4 and the slope is -1/1 or -1

Step-by-step explanation:

The numeral by itself is the Y intercept and thw number next to the x would be the slope is there is no number its just one and if its a single number for ex 4x it would be 4/1 so your answer would be Y intercept=4 and the slope is -1/1 or -1

Answer:

2......... ..... ..m.......... ..

Answer: There are 8 jars in the package.

Step-by-step explanation:

Given: Weight of each jar = 18 ounces

Weight of box = 6 ounces

If weight of package = 150 ounces , then the weight of all jars (only) = 150-6 ounces = 144 ounces

Number of jars = (Weight of all jars) ÷ (Weight of each jar)

= (144 ÷ 18)

= 8

Hence, there are 8 jars in the package.

Answer:

CP = 25

SP = 24

Loss = CP - SP

=> 1

Loss% => Loss × 100/25

=> 1×4

=> 4% Loss

Answer:

18y+30y+14y+150°+142=540

62y+292=540

subtract 292 from both sides

62y= 248

divide 62

y=4°

Answer:

Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)

Step-by-step explanation:

Answer:

lw/4

Step-by-step explanation:

Area of a rectangle = length × width

= l × w

Area of a rectangle = let

reduce the area of his rectangular garden by one-fourth

= 1/4 * lw

= 1/4lw

What is another way to write this expression?

Another way to write the expression is

= 1/4 * lw

= lw / 4