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2 years ago

The sum of 9 and the quantity 2 times a number t.

Mathematics

1 answer:

noname [10]2 years ago

4 0

Answer:

the question says 9 added to (2×t)

2×t

added to 9

9+(2×t)

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A pair of inequalities joined by "and" or "or" is called a

katrin [286]

The answer is compound inequality

6 0

1 year ago

I also need help with this one, simplifying this radical expression. This ones weird.

Darya [45]

Answer:

Step-by-step explanation:

Factorise numerators/ denominators where possible

3x² - 4x + 1 = (x - 1)(3x - 1)

x² - 1 ← is a difference of squares and factors as

x² - 1 = (x - 1)(x + 1)

Expressing the product in factored form

$\frac{(x-1)(3x-1)}{(x-1)(x+1)}$ × $\frac{x+1}{3x-1}$

Cancel common factors on numerator/denominator, that is

Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1

7 0

2 years ago

Read 2 more answers

What's 1.176 rounded to the nearest hundreds

Step2247 [10]

The first number after the decimal point is the tenths place, making the next one (2nd) the hundredths.
We have to round to the hundredths, so we look at the next one over to the right. Because 6 is greater than or equal to 5, (greater than) we have to round up. That makes the 7 an 8, and the 6 disappears. So we get our final answer:
1.18

5 0

2 years ago

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A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour

Reil [10]

Answer:

The correct answers are:

A) 60 miles; and B) 3.375 hours.

Explanation:

We will use the equation d = rt for this.

For the first leg of the trip, the bird travels 20 miles per hour for x hours. This gives us the equation

d = 20x

For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour. He also travels 6 miles less than the return distance, for x hours:

d-6 = 16x

To isolate d, we will add 6 to each side:

d-6+6 = 16x+6

d = 16x+6

We will set the two equations equal to one another, since they both equal d:

20x = 16x+6

Subtract 16x from each side:

20x-16x = 16x+6-16x

4x = 6

Divide both sides by 4:

4x/4 = 6/4

x = 1.5

He travels for 1.5 hours both times.

The first time, 1.5 hours at 20 miles per hour is:

d = 1.5(20) = 30 miles

The original trip is 30 miles. This makes the entire trip 30(2) = 60 miles.

On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:

24 = 16x

Divide both sides by 16:

24/16 = 16x/16

1.5 = x

If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:

24/1.5 = 30/x

Cross multiplying,

24*x = 1.5(30)

24x = 45

24x/24 = 45/24

x = 1.875

This gives him a total time of 1.5+1.875 = 3.375 hours

Step-by-step explanation:

7 0

2 years ago

Solve for x.

Kobotan [32]

Begin by subtracting 2b from both sides. This will give us

-ax > -2b +8

Then we will divide by -a. This division by a negative number changes the direction of the inequality sign. When we divide by -a:

$x$

6 0

2 years ago

Read 2 more answers