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zimovet [89]
3 years ago
14

Aretha runs 3.25 hours. Neal takes 1.6 times longer. how many hors does it take Neal to run

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0
Neal takes 1.6 times longer than Aretha. So 1.6 times 3.25. So to find how many hours it takes Neal to run, we multiply 1.6 by 3.25:
1.6*3.25 = 5.2

So, it takes Neal 5.2 hours to run the same distance as Aretha.

Hope this Helps! :)
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Angles ∠ABC= x and ∠CBD=(2y+4) are complementary. ∠CBD and ∠DBE=(3y+x) are supplementary.
Basile [38]

The missing question is find x , y and the measure of each angle

The values of x and y are x = 28 and y = 30

The measures of ∠ABC is 26°, ∠CBD is 64° and ∠DBE is 116°

Step-by-step explanation:

Let us revise the meaning of complementary angles and supplementary angles

  • Two angles are complementary if their sum is 90°
  • Two angles are supplementary if their sum is 180°

∵ ∠ABC = x

∵ ∠CBD = 2y + 4

∵ ∠ABC and ∠CBD are complementary

- That means their sum is 90°, add their values and equate

   the sum by 90

∴ x + (2y + 4) = 90

∴ x + 2y + 4 = 90

- Subtract 4 from both sides

∴ x + 2y = 86 ⇒ (1)

∵ ∠DBE = (3y + x)

∵ ∠CBD and ∠DBE are supplementary

- That means their sum is 180°, add their values and equate

   the sum by 180

∵ ∠CBD = (2y + 4)

∴ (2y + 4) + (3y + x) = 180

- Add like terms

∴ x + 5y + 4 = 180

- Subtract 4 from both sides

∴ x + 5y = 176 ⇒ (2)

Now we have a system of equations to solve them

Subtract equation (1) from equation (2) to eliminate x

∵ 3y = 90

- Divide both sides by 3

∴ y = 30

- Substitute the value of y in equation (1) to find x

∵ x + 2(30) = 86

∴ x + 60 = 86

- Subtract 60 from both sides

∴ x = 26

∵ ∠ABC = x

∴ The measure of angle ABC is 26°

∵ ∠CBD = 2y + 4

∴ ∠CBD = 2(30) + 4 = 60 + 4 = 64°

∴ The measure of angle CBD is 64°

∵ ∠DBE = 3y + x

∴ ∠DBE = 3(30) + 26 = 90 + 26 = 116°

∴ The measure of angle DBE is 116°

The values of x and y are x = 28 and y = 30

The measures of ∠ABC is 26°, ∠CBD is 64° and ∠DBE is 116°

Learn more:

You can learn more about the complementary angles and supplementary angles in brainly.com/question/10483199

#LearnwithBrainly

6 0
3 years ago
Hi can you help <br><br><br>105 = 4x
Readme [11.4K]
105 =4x
—— —- x=26.25
4. = 4
4 0
3 years ago
Read 2 more answers
2x+5y=24<br> -6x-15y=10<br> solve for elimination
Burka [1]
Your answer is no solution. I'm in middle school and learning the same thing.
3 0
3 years ago
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the average age of 5 students is 9yrs out of them the ages of 4 students are 5,7,8,and 15yrs what is the age of remaining studen
valentinak56 [21]

Answer:

Step-by-step explanation:

Keep in mind that to find the average they would do:

Average = Sum of students' ages / number of students

So to solve this question we should firstly find the sum of all their ages.

To do this you multiply 5 by 9 = 45.

This means 45 is the sum of all 5 students' ages.

Next you are given four students have ages 5 , 7 , 8 and 15.

The sum of their ages are: 5 + 7 + 8 + 15 = 35

This means that the final student has age 45 - 35 = 10 years.

8 0
3 years ago
The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table,
Sunny_sXe [5.5K]

Answer:

(b)  (18, 27), because the rate of change of the function is 4/3

Step-by-step explanation:

just took the test mah peeps;)

8 0
3 years ago
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