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faltersainse [42]
3 years ago
6

Nathan's lawn mower uses 23 of a tank of gas to cut three one-acre lawns. How many one-acre lawns can he cut with a full tank of

gas? Explain using ratios.
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0
60 Gallons To FInish The Whole Entire Yard I think double check to make sure
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Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
tester [92]

Given:

Polynomial is 3x^2+15x-56.

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

3x^2+15x-56+(x-8)^2

=3x^2+15x-56+x^2-2(x)(8)+8^2    [\because (a-b)^2=a^2-2ab+b^2]

=3x^2+15x-56+x^2-16x+64

On combining like terms, we get

=(3x^2+x^2)+(15x-16x)+(-56+64)

=4x^2-x+8

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is 4x^2-x+8.

7 0
3 years ago
What is the proof for this?
Butoxors [25]
Knowing nexnjhdjhdhfgnu. Hngj
5 0
3 years ago
Christine,milan, and Scott sent a total of 145 messages during the weekend . Christine sent 7 more messages than Scott . Milan s
AURORKA [14]

Answer:

number of message sent by Scott is 23

number of message sent by Christine is   30

number of message sent by Milan is 92

Step-by-step explanation:

Total message sent by Christine,Milan, and Scott : 145

Let number of message sent by Scott be x .

Given that Christine sent 7 more messages than Scott

number of message sent by Christine is   x+7

It is also given that  Milan sent 4 times as many messages as Scott

number of message sent by Milan is   4*x = 4x.

Thus, sum of message sent by Christine,milan, and Scott  in terms of x

= x + x + 7 + 4x = 6x + 7

we already know that Total message sent by Christine,milan, and Scott is 145

thus,  6x + 7 should be equal to 145

6x + 7 = 145

=>6x = 145 - 7 = 138

=> x = 138/6 = 23

Thus,  

number of message sent by Scott is x = 23

number of message sent by Christine is   x+7 = 23+7 = 30

number of message sent by Milan is   4x = 4*23 = 92

3 0
4 years ago
Number sequence <br><br>write the correct number in between to complete the number sequence.​
Alborosie

Answer:

1. 15, 13

2. 12, 6

3. 130,135

4. 44, 41

5. 42, 52

Step-by-step explanation:

1. the answer is 15,13 because the sequence goes with minus 2

2. the answer is 12,6 because the sequence goes with divided by 2

3. the answer is 130,135 because the sequence goes with plus 5

4. the answer is 44, 41 because the sequence goes with minus 3

5. the answer is 42,52 because the sequence goes with plus 10

8 0
3 years ago
6x+8=x-2 what is the answer to this
rodikova [14]

Answer:

x= -2

Step-by-step explanation:

6x+8=x-2

6x-x= -2-8

5x= -10

x= -10/5

x= -2

7 0
3 years ago
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