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professor190 [17]
3 years ago
14

Austin is watching a football game. His team loses 9 yards and then gains 5 yards. He doesn’t watch the next play, but afterward

s he sees that his team now has a total loss of 1 yard. How many yards did the team gain or lose on the play audition missed?
Mathematics
1 answer:
katrin [286]3 years ago
7 0
The team gained 3 yards on the play audition missed
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Which statements are true?
Rina8888 [55]

Answer:

The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)

Step-by-step explanation:

Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).

4 0
3 years ago
What number is ten times as much as 50,070
pantera1 [17]
500,700. is the answer
5 0
3 years ago
Read 2 more answers
A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x,
tatiyna

Answer:

The maximum volume of such box is 32m^3

V = x×y×z = 32 m^3

Step-by-step explanation:

Given;

Total surface area S = 48m^2

Volume of a rectangular box V = length×width×height

V = xyz ......1

Total surface area of a rectangular box without a lid is

S = xy + 2xz + 2yz = 48 .....2

To be able to maximize the volume, we need to reduce the number of variables.

Let assume the rectangular box has a square base,that means; length = width

x = y

Substituting y with x in equation 1 and 2;

V = x^2(z) ....3

x^2 + 4xz = 48 .....4

Making z the subject of formula in equation 4

4xz = 48 - x^2

z = (48 - x^2)/4x .......5

To be able to maximize V, we need to reduce the number of variables to 1, by substituting equation 5 into equation 3

V = x^2 × (48 - x^2)/4x

V = (48x - x^3)/4

differentiating V with respect to x;

V' = (48 - 3x^2)/4

At the maximum point V' = 0

V' = (48 - 3x^2)/4 = 0

Solving for x;

3x^2 = 48

x = √(48/3)

x = √(16)

x = 4

Since x = y

y = 4

From equation 5;

z = (48 - x^2)/4x

z = (48 - 4^2)/4(4)

z = 32/16

z = 2

The maximum volume can be derived by substituting x,y,z into equation 1;

V = xyz = 4×4×2 = 32 m^3

7 0
3 years ago
What is the answer to 4x - 2 ˂ 26
Nat2105 [25]

Answer:

x<7

Step-by-step explanation:

The app Photomath can solve these questions for you, all you have to do is scan it and then it solves it for you! :D

3 0
3 years ago
If n + 7 = 10, evaluate 2n - 2<br> O 3<br> 0 17<br> 4<br> 6
Alexandra [31]

Answer:

The value of 2n - 2 is 4.

Step-by-step explanation:

Given the equation

n + 7 = 10

Subtract  7 from both sides of the equation

n+7-7=10-7

Simplify

n=3

Now substituting n = 3 in the equation

2n - 2 = 2(3) - 2

          = 6 - 2

          = 4

Therefore, the value of 2n - 2 is 4.

5 0
2 years ago
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