Morgan measures the capacity of a juice glass to be 12 fluid ounces.If she uses the glass to drink 4 glasses of water throughout the day, how many pints of water does Morgan drink?

Answer:

A. 2375 inches

Step-by-step explanation:

just did it lol

Answer:

[tex]m<1=156\°[/tex]

[tex]m<2=24\°[/tex]

[tex]m<3=24\°[/tex]

[tex]m<5=156\°[/tex]

Step-by-step explanation:

Part 1) If line a is parallel to line b

then

[tex]m<1=m<4[/tex] -----> by alternate exterior angles

so

we have

[tex]m<4=156\°[/tex]

therefore

[tex]m<1=156\°[/tex]

Part 2) we know that

[tex]m<1+m<2=180\°[/tex] -----> by supplementary angles

we have

[tex]m<1=156\°[/tex]

substitute

[tex]156\°+m<2=180\°[/tex]

[tex]m<2=180\°-156\°=24\°[/tex]

Part 3) If line a is parallel to line b

then

[tex]m<3=m<2[/tex] -----> by alternate interior angles

so

we have

[tex]m<2=24\°[/tex]

therefore

[tex]m<3=24\°[/tex]

Part 4) If line b is parallel to line c

then

[tex]m<5=m<4[/tex] -----> by corresponding angles

so

we have

[tex]m<4=156\°[/tex]

therefore

[tex]m<5=156\°[/tex]

Answer:

Part A

1.  Perimeter of the outside edges = 24 inches

2.  One possibility is: length = 8 in. and width = 8 in.

second possibility is: length = 16 in. and width = 4 in.

3.  Area of the wood portion = 11 [tex]inches^{2}[/tex]

4.  New dimensions are:

Length = 17.5 ft.

Width = 12.5 ft.

Part B

Area of the picture = 24 [tex]inches^{2}[/tex]

Area of the frame = 35 [tex]inches^{2}[/tex]

Step-by-step explanation:

Part A

1.  Perimeter of the outside edges = 2(length + width)

= 2(7 + 5)

= 2(12)

= 24 inches

2.  If the area of the frame was 64 [tex]inches^{2}[/tex], then the two possible dimensions are:

8 × 8 and 16 × 4

i.e., one possibility is: length = 8 in. and width = 8 in.

second possibility is: length = 16 in. and width = 4 in.

3.  Area of the wood portion = Area of the frame - Area of the picture

= (5 × 7) - (4 × 6)

= 35 - 24

= 11 [tex]inches^{2}[/tex]

4.  The scale factor is:

1 in. = 2.5 ft.

So, its length = 7 in. = 7(2.5) = 17.5 ft.

width = 5in. = 5(2.5) = 12.5 ft.

Part B:

Length of the picture = 6in.

Width of the picture = 4 in.

Area of the picture = Length × Width

= 6 × 4

= 24 [tex]inches^{2}[/tex]

Length of the frame = 7in.

Width of the frame = 5 in.

Area of the frame = 7 × 5 = 35 [tex]inches^{2}[/tex]

Part A

1) Perimeter of the outside edges

24 inches

2) One possibility is:

length- 8 inches

and width - 8 inches

3) Area of the wood portion

= 11

4) New dimensions are:

Length - 17.5 feet

Width - 12.5 feet

Part B

Area of the picture

- 24

Area of the frame

- 35

Step-by-step explanation:

first part-

1) Perimeter of the outside edges = 2(length + width)

= 2(7 + 5)

= 2(12)

= 24 in

2) if the area of the frame was 64 then there are two possible dimensions

8 × 8 and 16 × 4

the first possibility

length = 8 inches

width = 8 inches

the second possibility

length = 16 inches

width = 4 inches

3) Area of the wood portion= Area of frame - Area of picture

= (5 × 7) - (4 × 6)

= 35 - 24

= 11

4)The scale factor

1 inches = 2.5 feet

length = 7 inches

= 7(2.5)

= 17.5 feet

width = 5 inches

= 5(2.5)

= 12.5 feet

Second part-

Length of picture

= 6 inches

Width of picture

= 4 inches

Area of the picture

(Length × Width)

= 6 × 4

= 24

Length of frame = 7 inches

Width of frame = 5 inches

Area of frame = 7 × 5 = 35

If this helped you please say thanks and mark brainliest

7 pounds costs $16.4 I think

They have less chlorine than the safety standards require.

Answer: With the help of Ratio we can compare Park Pool's chlorine to the safety standards.

Step-by-step explanation:

Since we have given that

Safety standards requires a pool to add 3 chlorine tablets to every 2,000 gallons of water.

Number of chlorine tablets = 3

Volume of water = 2000 gallons

So, Ratio will be

[tex]3:2000\\\\=1:\frac{2000}{3}\\\\=1:666.67[/tex]

Now, According to question, the lifeguards at Park Pool added 8 chlorine tablets to their pool's 10000 gallons of water.

So, Number of chlorine tablets = 8

Volume of water = 10000 gallons

So, Ratio will be

[tex]8:10000\\\\1:1250[/tex]

Hence, with the help of Ratio we can compare Park Pool's chlorine to the safety standards.

The Tyrannosaurus rex weighed approximately 9 tons.

To determine the weight of the Tyrannosaurus rex, we need to find one tenth the weight of Patagotitan mayorum, which is 76 tons. One tenth of 76 tons is 7.6 tons. We then add 1.4 tons to this, as the Tyrannosaurus rex weighs about 1.4 tons more than one tenth the weight of Patagotitan mayorum. Therefore, the weight of the Tyrannosaurus rex is approximately 9 tons.

The probability of picking a blue shirt from the drawer is 4/5 or 0.8

The probability of picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts can be calculated as follows:

Probability of picking a blue shirt = Number of blue shirts / Total number of shirts

Probability of picking a blue shirt = 8 / (8 + 2)

Probability of picking a blue shirt = 8/10

Probability of picking a blue shirt = 4/5

Therefore, the probability of picking a blue shirt from the drawer is 4/5 or 0.8.

To learn more on probability click:

https://brainly.com/question/11234923

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250% is scale factor will Caroline need to use to draw the original-size image.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object.

Given:

Scale Factor= 40%

As, Jacob use the scale factor= 40%

So, the new image size

= 100 x 40/100

= 40

let Caroline use x% scale factor

then, 40x/100= 100

x= 100 x 100 /40

x= 250%

Hence,  250% is scale factor will Caroline need to use to draw the original-size image.

Learn more about scale factor here:

https://brainly.com/question/29464385

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Answer:  5x + 10y ≥ 60 ⇒ x+2y ≥ 12          .................. (i)  

                x + y ≤ 12                                     ................. (ii)  

Step-by-step explanation:

    Let the hours spent on exercising horse be x

    Let the hours spent on cleaning stalls be y

According to question:

Rob can't work more than 12 hours. So eq. (i) will be x + y ≤ 12

Rob earns $5 an hour by exercising horses and $10 an hour cleaning stalls and he must make $60 . So eq. (ii) will be 5x + 10y ≥ 60.

Dividing eq. (ii) by 5, it will become x + 2y ≥ 12.

∴ system of inequalities are x + y ≤ 12 and x + 2y ≥ 12.

Answer:

the answer is -1

Step-by-step explanation:

6,300 x (1+0.06) ^3=

6300 x 1.191016 =

7503.40

The volume of rubber used to make the hollow ball is approximately 636.4 cm^3, which is calculated by subtracting the inner space volume from the total volume of the ball.

To find the volume of rubber used to make a hollow ball, we need to calculate the volume of the entire ball and then subtract the volume of the inner empty space. The ball's external radius is 6 centimeters, and the rubber thickness is 2 centimeters, which makes the inner radius 4 centimeters (6cm - 2cm).

The formula to calculate the volume of a sphere is V = (4/3)
y. Using
for pi and plugging in the numbers, we get:

To find the volume of the rubber used, we subtract the smaller volume from the larger volume:

904.32 cm - 268.08 cm = 636.24 cm

Therefore, option c. 636.4cm is the approximate volume of rubber used to make the ball.