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andriy [413]
3 years ago
7

Five friends had lunch together. Their lunch bill included these amounts: $8.79, $5.15, $11.73, $2.49, and $9.05. Estimate the t

otal bill using front-end estimation. (Round the leftmost place value.) What is the estimated total?
Mathematics
2 answers:
Inessa [10]3 years ago
5 0

Answer:

35

Step-by-step explanation:

add all the numbers to get 37.21 then rounded it to the nearest front-end estimation. to get 35 please name me bran-list for my virtuoso answer

Stella [2.4K]3 years ago
4 0

Answer: 35

Step-by-step explanation: i just got the question right :))

You might be interested in
Complete the square to write the quadratic expression in vertex form.
Anvisha [2.4K]

Answer:

1. (x - 3)² = 8

2. (x + 2)² = 3

3. (x + 6)² = $ \frac{101}{2} $

4. (x + 3)² = 27

5. (x + 4)² = 13

6.  $ \bigg( x - \frac{15}{9} \bigg) ^2 = \frac{261}{81} = \frac{29}{9} $

Step-by-step explanation:

Completion of Square: $ (x - a) ^2 = x^2 - 2ax + a^2 $

In the following problems the terms in the RHS of the above equation may be missing. We balance the equation. Simplify it and re write it in terms of LHS.

1. x² - 6x + 1 = 0

Taking the constant term to the other side, we get:

x² - 6x = - 1

⇒ x² - 2(3)x = -1

⇒ x² -2(3)x + 9 = - 1 + 9  [Adding 9 to both the sides]

⇒ x² -2(3)x + 3² = 8

⇒ (x - 3)² = 8 is the answer.

2. 3x² + 12x + 3 = 0

Note that the co-effecient of x² is not 1. We make it 1, by dividing the whole equation by 3. And then proceed like the previous problem.

3x² + 12x = -3

Dividing by 3 through out, x² + 4x = - 1

⇒ x² + 2(2) + 4 = -1 + 4

⇒ x² +2(2) + 2² = 3

⇒ (x + 2)² = 3 is the answer.

3. 2x² + 24x = 29

x² + 12x = $ \frac{29}{2} $

⇒ x² + 2(6)x + 36 = $ \frac{29}{2} $ + 36

⇒ x² + 2(6)x + 6² = $ \frac{29 + 72}{2} $

⇒ (x + 6)² = $ \frac{101}{2} $ is the answer.

4. x² + 6x - 18 = 0

x² + 6x = 18

⇒ x² + 2(3)x = 18

⇒ x² + 2(3)x + 9 = 18 + 9

⇒ x² + 2(3)x + 3² = 27

⇒ (x + 3)² = 27 is the answer.

5. x² + 8x + 3 = 0

x² + 8x = -3

⇒ x² + 2(4)x = -3

⇒ x² + 2(4)x + 16 = - 3 + 16

⇒ x² + 2(4)x + 16 = 13

⇒ (x + 4)² = 13 is the answer.

6. 9x² - 30x + 6 = 0

9x² - 30x = - 6

⇒ x² $ - \frac{30}{9} $ x = - 6

$ \implies x^2 -2 \bigg( \frac{15}{9} \bigg )x + \frac{225}{81} = - 6 + \frac{225}{81} $

$ \implies x^2 - 2\bigg( \frac{15}{9} \bigg ) x + \bigg ( \frac{15}{9} \bigg ) ^2 = \frac{261}{81} $

$ \bigg( x - \frac{15}{9} \bigg) ^2 = \frac{261}{81} = \frac{29}{9} $ is the answer.

6 0
3 years ago
Need help 1-4 will give brainiest
Brums [2.3K]

Answer:

1) PN

2) MN

3) 8

4) 8

3 0
2 years ago
Read 2 more answers
Renae has a checking account balance of -$40.75. Paula has a checking account balance of -$25.20. Who owes more?
Volgvan

Answer:

Renae owes 15.55 more.


Step-by-step explanation: 40.75 - 25.20 = 15.55



7 0
3 years ago
Read 2 more answers
What is the area of this cylinder? the height is 20 meters and the radius is 17 meters
antiseptic1488 [7]

Answer:

18149.20

Step-by-step explanation:

V=\pi(20)(17^2) \\ \\ \approx 3.14(17^2)(20) \\ \\ =18149.20

8 0
2 years ago
Mrs. Lawson made 18 sandwiches for the trip. She planned that each person would eat 1/2 a sandwich. How many people can she feed
Aleks [24]

Answer:36

Step-by-step explanation:

18×2= 36 because if each got halfed, each half would equal one sandwich so there would be 36 sandwiches

8 0
3 years ago
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