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4 years ago

0.35 rational or irrational

2 answers:

6 0

A rational number is a number that can be expressed as a fraction (a/b) where a and b are integers and b is not equal to 0 (because you cannot divide by 0).

.35 can also be written as 35/100. 35 and 100 are both integers, and 100 is not equal to 0. so, by definition, .35 is rational.

ozzi4 years ago

5 0

0.35 = 35/100
= 7/20 → rational

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horrorfan [7]

Answer:5

Step-by-step explanation:

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3 years ago

In January, a dealership sold 164 vehicles. In February, the same dealership sold 23.8% fewer vehicles than they sold in January

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23.8% of 164 is 39.032 so minus that off of 164 and you would've sold 124.968 cars and im guessing you should round so the dealership would've sold 125 cars.

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3 years ago

Jalyn plans to sell Algebra Nation t-shirts as a fundraiser for a new scholarship initiative. The wholesale t-shirt company char

ivolga24 [154]

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3 years ago

A reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha

morpeh [17]

Answer:

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

$x^2 +(x+7)^2=(x+9)^2\\\\$

Expand the terms in brackets

$x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81$

collect like terms

$x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0$

solve for x in the quadratic equation by factorization

$x^2-4x-32=0\\\\\\x^2-8x+4x-32=0\\\\\\x(x-8)+4(x-8)=0\\\\\\(x+4)(x-8)=0\\\\\\x+4=0,x=-4\\\\x-8=0,x=8$

Taking the positive value of x;

x=8ft

Finding the lengths

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

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3 years ago

In the function f(x) = -720h + 10080, the "h" is the number of hours the pool has been draining. Explain in your words how much

Nataly [62]

f(x) = -720h + 10080

10080 is the total amount of water in the pool, 720 is the amount of water you lose each hour.

"h" is the number of hours the pool has been draining, and since you know the pool has been draining for 12 hours, you can plug in 12 for "h".

f(x) = -720h + 10080

f(x) = -720(12) + 10080

f(x) = -8640 + 10080

f(x) = 1440

After 12 hours of draining, 1440 is the amount of water left in the pool. (I don't know the units [ex: gallons, etc.])

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3 years ago