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emmasim [6.3K]
2 years ago
8

Translate the sentence into an inequality.

Mathematics
1 answer:
lord [1]2 years ago
7 0

Answer:

2(W - 5) ≤ -29      

Step-by-step explanation:

"Twice the difference of a number and 5 is at most -29" can be expressed symbolically as follows:

2(W - 5) ≤ -29      

Further explanations:

"the difference of a number and 5" is W - 5, and thus "Twice the difference of a number and 5" is 2(W - 5).

"x ≤ -29" states "x is at most -29."

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The life span of a battery is the amount of time the battery will last. The distribution of life span for a certain type of batt
slavikrds [6]

Answer:

0.0548

Step-by-step explanation:

The distribution of life span for a certain type of battery is approximately normal with mean 2.5 hours and standard deviation 0.25 hour.

To find the the probability that a selected battery will have a life span of at most 2.1 hours, we need to first determine the z-score for x=2.1 hours using

z =  \frac{x -  \mu}{ \sigma}

We substitute the values to get:

z =  \frac{2.1 - 2.5}{0.25}  =  - 1.6

We read read -1.6 from the standard normal distribution table to get:

P(X≤2.1)=0.0548

7 0
3 years ago
What is 3/5 of 24? What is the formula
Anon25 [30]
I got 18 I am not sure if it is right 

8 0
3 years ago
Read 2 more answers
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 548 fee
aliina [53]

Answer: 274/3 and 137 ft

Step-by-step explanation:

Total fence used: 548 ft

So, perimeter will be 548 ft, including the fence that divides the land.

Consider the playground the drawing below.

__________x________

|                                        |

|                                        |   y

|                                        |

|__________________|

Let's consider that the playground is going to be divided parallel to y (and there's no problem, because if you choose parallel to x, the area will be the same). So, the perimeter (the sum of all sides) will be:

2x + 3y = 548

And the area

A = x.y

Isolating x, we have:

x = (548 - 3y)/2

Substituting the x in the Area equation:

A = (548 - 3y)/2 . y = 548y - 3y²/2 = 274y - 3/2y²

A = 274y - 3/2y²

So, it's a quadratic function. And, to find out the maximum area that the playground can have, we need to find the y-vertex of the parabola: y-vertex = Δ/4a

a = -3/2    b = 274     c = 0

Δ = 274² - 4.(-3/2).0 = 274² = 75076

Amax = -Δ/4a = -75076/4.(-3/2) = 75076/6 = 12512.7 ft²

y = -b/2a = -274/2.(-3/2) = 274/3 ft

x = (548 - 3y)/2 = (548 - 3.274/3)/2 = 274/2 = 137 ft

4 0
3 years ago
There were three parts to Rita's race. She ran the first part, which was 4/9
IrinaVladis [17]

Answer:

300 meters per minute

Step-by-step explanation:

Step 1

Determine the fraction of the total distance for each part of the race.

Given:

1st part of race = 4/9 of total distance

2nd part of race = 2/5 of remaining distance

Step 2

Determine the distance of the third part of the race.

Given:

time = 15 minutes

speed = 300 meters per minute

Step 3

If the third part of the race (which is 1/3 of the total distance) is 4500m, then the distance of the whole race is:

Step 4

Determine the distance of the 1st part of the race:

Step 5

Determine the speed of the 1st part of the race:

Given:

time = 20 minutes

distance = 6000 m

3 0
2 years ago
When four gallons are added to a tank that is one-third full, the tank is then one-half full. What is the capacity of the tank i
Dmitry_Shevchenko [17]

The capacity of the tank in gallons is 24 gallons.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.

It is given in the question that

When four gallons are added to a tank that is one-third full

the tank is then one-half full.

Let the capacity of the tank is x gallons

The equation can be formed for the capacity of the tank as

(1/3)x +4 = (1/2)x

(1/3)x -(1/2)x = -4

(1/6)x = 4

x = 24 gallons.

Therefore the capacity of the tank in gallons is 24 gallons.

To know more about Equation

brainly.com/question/2263981

#SPJ1

4 0
2 years ago
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