Learning Task 3: Solve the given problems. Write your answers in your answer sheet.

1. Team Narra and Team Mahogany underwent a water challenge. Their task was to transfer the water in a cup from
the first player to the tenth player without spilling within the allotted time. After the task, the team captain measured
the water collected using a measuring cup. Team Narra collected 1.402 liters while Team Mahogany collected 1.045
liters of water. Which team got more water?
Solution:​

Answer:

[tex]\huge\boxed{\sf x = 12 }[/tex]

Step-by-step explanation:

Opposite sides and angles of a parallelogram are equal.

So,

3x - 1 = 35

Add 1 to both sides

3x = 35 + 1

3x = 36

Divide 3 to both sides

x = 36 / 3

x = 12

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

157.44 feet

Step-by-step explanation:

Given that:

Lance is out for sightseeing in Rome.

Lance went to see the Colosseum.

Height of the outer wall of the Colosseum = 48 meters

Unit Conversion formula:

1 meter = 3.28 feet

To find:

Height of the outer wall of the Colosseum in feet.

Solution:

It is simple problem for the conversion of unit where we already know the value in one unit and the conversion formula as well.

We have to simply find how much 48 meters will be when converted in feet.

1 meter = 3.28 feet

48 meter = 48 [tex]\times[/tex] 3.28 = 157.44 feet

Answer:

3348 ft

Step-by-step explanation:

sin 21° = BC/AB = 1200/AB

AB = 1200 / sin 21° = 1200 / 0.358 =  3352 ≈ 3348

Step-by-step explanation:

[tex] \frac{6x - 2}{30} = \frac{5x + 13}{36} \\ 36(6x - 2) = 30(5x + 13) \\ 6(6x - 2) = 5(5x + 13) \\ 36x - 12 = 25x + 65 \\ (36 - 25)x = (65 + 12) \\ 11x = 77 \\ x = \frac{77}{11} \\ x = 7[/tex]

You can use the properties that similar triangles have sides scaled.

The value of x is 7.

Since it is given that PTS ~ PQR, thus, let the scaling is done by factor f. Then we have:

[tex]|PT| = f \times |PQ|\\ |TS| = f \times |QR|\\ |SP| = f \times |RP|[/tex]

Thus, we get the ratio of length of PT and length of TS as:

[tex]\dfrac{|PT|}{|TS|} = \dfrac{f \times |PQ|}{f \times |QR|} = \dfrac{|PQ|}{|QR|}[/tex]

Using the values specified in the given figure for above obtained equation, we get:

[tex]\dfrac{|PT|}{|TS|} = \dfrac{|PQ|}{|QR|}\\ \\ \dfrac{36}{30} = \dfrac{5x + 13}{6x-2}\\ \\ \text{Cross multiplying, the denominators},\\\\ 36(6x-2) = 30(5x+13)\\ 216x - 72 = 150x + 390\\ 216x - 150x = 390 + 72\\ 66x = 462\\\\ x = \dfrac{462}{66}\\\\ x = 7[/tex]

Thus, the obtained value of x is 7.

Learn more about similar triangles here:

https://brainly.com/question/19387334

Answer:

D=M/V

D=65.1/6.2

Density is 10.5 grams per centimetre cube

Step-by-step explanation:

Answer:

This survey may be unfair because they are asking the question to a group of kids who are already biased because they all play a specific sport and are most likely going to chooses that sport. Therefore the answers will most likely be basketball because it is the basketball team taking the survey

Step-by-step explanation:

Answer:

A - 105

Step-by-step explanation:

since the two measurements are supplements, you do x+82+x+112=180. then you get x=-7. then you do 112-7=105

Answer:

105°

Step-by-step explanation:

A line equals 180, so take the two expressions and set them equal to 180:

x+82+x+112=180

simplify:

2x+194=180

2x=-14

x=-7

now plug the x value into the bolded expression

x+112

-7+112 = 105°

Answer:

4^9

262144

Step-by-step explanation:

Answer: c = t * 6.75

Step-by-step explanation: each ticket costs $6.75

Answer:

We have the function:

f(x) = x^3 - 2*x^2

To sketch this, we need to graph some points, and then just draw a line that passes through the points.

The graph of this equation is shown below.

Now we can complete the question.

If the graph is below the x-axis in some interval, the function is negative in that interval

If the graph is above the x-axis in some interval, the function is positive in that interval.

If the graph goes up in a interval, then the function is increasing in that interval

If the graph goes down on an interval, then the function is decreasing in that interval.

Then:

1) f is------ on the intervals (−∞, 0) and (0, 2).

Here we can see that the graph is below the x-axis in those intervals, then here we have:

f is negative on the intervals (−∞, 0) and (0, 2).

2) f is------ on the interval (2,∞)

Here the answer is positive:

f is positive on the interval  (2,∞)

3) fi is ------ on the interval (0, 4/3)

In the graph, you can see that the graph goes down in that interval, then the correct answer here is:

f is decreasing on the interval (0, 4/3)

4) f is------ on the intervals (−∞, 0) and (4/3, ∞).

In this case, we can see that the graph goes up in these intervals, then the correct answer here is:

f is increasing on the intervals (−∞, 0) and (4/3, ∞).

Answer:

I believe the answer is A and D.

Answer:

6 and 8

Step-by-step explanation:

vertical lines yes, theyre across from each other making it vertical line

Vertical angles are the angles at the opposite sides of a transversal

The vertical angles are <6 and <8

For a pair of angles to be vertical angles, there must be a transversal line, and the two angles must be at the either sides of the transversal

This means that the following angles are vertical angles

Hence, the vertical angles are <6 and <8

Read more about vertical angles at:

https://brainly.com/question/14362353

Step-by-step explanation:

A= 4(pi)r^2

A=4(3.14159265359)13^2

A=2123.72

**I dont know if it's right or wrong.**

Answer:

20

Step-by-step explanation:

75% of 20 = 15

I believe this is correct and hope it helps :)

Answer:

-16m-6

Step-by-step explanation:

use distributive property, you get -16m-6

I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!

Hey there!

Hey there!

–2(8m + 3)

Distribute

–2(8m) + –2(3)

–2(8m) = –16m

–2(3) = —6

Answer: –16m – 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

D

Step-by-step explanation:

(6, 24)  this ordered pair has an x-value of 6 and a y-value of 24

The only equation, if you substitute those values into it, which works is D.

24 = 4(6)

24 = 24

Question:

Alex skateboards at a constant speed from his house to school 3.8 miles away. It takes him 18 minutes.

a. What fraction represents his constant speed, c?

b. After school, Alex skateboards at the same constant speed to his friend’s house. It takes him 10 minutes.  Write the fraction that represents constant speed, c, if he travels a distance of y.

c. Write the fractions from parts(a) and (b) as a proportion, and solve to find out how many miles Alex’s  friend’s house is from school. Round your answer to the tenths place.

Answer:

(a) [tex]c = \frac{3.8}{18}[/tex]

(b) [tex]c = \frac{y}{10}[/tex]

(c) 2.1 miles

Step-by-step explanation:

Solving (a):

Given

[tex]Distance = 3.8\ miles[/tex]

[tex]Time = 18\ minutes[/tex]

Required

Determine the constant speed, c.

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

So, we have:

[tex]c = \frac{3.8}{18}[/tex]

Solving (b):

Given

[tex]Distance = y[/tex]

[tex]Time = 10\ minutes[/tex]

Required

Determine the constant speed, c.

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

So, we have:

[tex]c = \frac{y}{10}[/tex]

Solving (c): Write (a) and (b) as proportions and solve for y.

As a proportion, we have

[tex]\frac{y}{10} = \frac{3.8}{18}[/tex]

Multiply both sides by 10

[tex]10 * \frac{y}{10} = 10 * \frac{3.8}{18}[/tex]

[tex]y = 10 * \frac{3.8}{18}[/tex]

[tex]y = \frac{38}{18}[/tex]

[tex]y = 2.11111[/tex]

[tex]y = 2.1\ miles[/tex]  ---- approximated

Answer:

Assuming T = ton:

1440000 ounces

Step-by-step explanation:

1 ton = 2000 pounds

1 pound = 16 ounces.

So 45 tons = 2000 * 16 * 45 ounces.

Answer:67

Step-by-step explanation:

Answer:

The answer to the question provided is

[tex] \frac{22}{7} [/tex]

Answer:

x=-1

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

angles 1 and 2 are equal because the entire angle is bisected

so, 5x - 2 = 4x + 4

x - 2 = 4

x = 6

If you substitute 6 into each expression, they should be equal:

4(6) + 4 = 5(6) - 2

24 + 4 = 30 - 2

28 = 28

8/5 = 1 3/5

(5 x 1 = 5 + 3 = 8, to get 8/5)

13/12 = 1 1/12 (12 x 1 = 12 + 1 = 13, to get 13/12)

Hope this helped! :D

Answer: 3/7

Step-by-step explanation:

1/7 x 3/1

MULTIPLY ACROSS

so 1 x 3 = 3 AND 1 x 7 = 7

so the answer is 3/7

Answer:

The correct answer is,

[tex] \frac{7}{16} [/tex]

hope it helps.

have a great day.

Answer:

1 3/4 ÷ 4 = 7/16.

Step-by-step explanation:

Is your answer.

Answer:

See explanations below

Step-by-step explanation:

Given the system of equation

2x - 10 y = -30 ... 1

x - 5y = 20 ... 2

Step: From 2;

x = 20 + 5y ...3

Step 2: Substitute equation 3 into 1

2x - 10y = -30

2(5y+20) - 10y = -30

Open the bracket

10y + 40 - 10y = -30

10y - 10y + 40 = -30

0+40 = -30

40 = -30

The steps taken by Teri are correct all through. He didn't make any error whatsoever

Answer:

Square 4x³ - x²

Step-by-step explanation:

Given the expression -5x²(4x³ - x²)²

The first step in simplifying the expression is to open the parenthesis by taking the square of 4x³ - x² as shown;

-5x²(4x³ - x²)²

= -5x²[(4x³)²- 2x²(4x³) + (x²)²]

= -5x²[16x^6- 8x^5 + x^4]

Hence the correct answer is Square 4x³ - x²

Answer:

Yes

Step-by-step explanation:

If you multiply the 3 into the equation it will give you 3x+3 3/2 -3 and if you simplify it the answer is 3x+4 1/2 -3=3x +1 1/2.

3x+1 1/2 = 3x + 1 1/2

WHAT IS THAT ? THX

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