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3 years ago

Which value of x makes this inequality true? X + 9 < 4x

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

We want to get out x's together on the right side of the inequality.

So, subtract <em>x </em>from both sides to get 9 < 3x.

Now divide both sides by 3 and we get 3 < x.

I personally like to have my variables on the left so we can move the 3 to the left and the <em>x</em> to the right but if we do that, we have to switch the inequality sign.

So we can rewrite this as x > 3.

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3. A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles. (20 points)

Vilka [71]

Answer:

a. The plane's speed in mph is 560

b. At this rate, the plane can travel 5,600 miles in 10 hours.

Step-by-step explanation:

In order to find the planes speed in mph, some simple arithmetic must be done and you should divide 3,360 by 6. Now that you have determined that 3,360/6 equals 560, you know that in order to figure out how many miles the plane can travel in 10 hours, all you must do is multiply 560 by 10 which equals 5,600.

7 0

3 years ago

the height of the snow was 84 inches in the beginning of the week. it melts at a rate of 0.15 inches per hour. how many hours wo

lakkis [162]

Answer:

It takes 147 hours for the snow to reach 62 inches.

Step-by-step explanation:

Given:

Height of the snow at the beginning = 84 inches

Rate at which the snow melts = f 0.15 inches per hour

To Find:

The time taken for the snow to reach 62 inches = ?

Solution:

Let the time taken to reach 62 inches be x

Then according to the question,

Total height of the snow - (rate of melting)(x) = 62 inches

On substituting the values,

84 - (0.15)(x) = 62

84 - 0.15x = 62

- 0.15x = 62 - 84

- 0.15x = -22

0.15x = 22

x = \frac{22}{0.15}

x= 146.6

x = 147

7 0

3 years ago

What two decimals is 79 beetween

ivolga24 [154]

Answer:

Step-by-step explanation:

so you dont move anything,

7 0

2 years ago

Read 2 more answers

Help <3 ;3

Tomtit [17]

Hello,

Rational numbers are numbers that can be represented by fractions that consist of integers.

In this case, B. -7/3 is already a fraction that consists of integers, so it is a rational number.
C. square 3 is = $3^{2}$ = 9, which can be represented by 9/1, so it is also a rational number.

A and D are incorrect as they cannot be represented by fractions that consist of integers.

The answers are B and C.

Hope this helps!

8 0

3 years ago

Read 2 more answers

How would I find x, I know it's an isosceles triangle but I so not know how to solve for it?????

Wittaler [7]

Answer:

x=7 (if your teacher cares it could + or - 7)

Step-by-step explanation:

Okay, since it's a 90 degree triangle you can use the Pythagorean theorem

( a^2 + b^2 = c^2)

Since it's an isosceles triangle the other side is x because it's the same value.

x^2 + x^2= (7 $\sqrt{2}$ )^2

Add the left side

2x^2= 7^2 + $\sqrt{2}$ ^2 roots and square roots cancel each other out

So -> 2x^2= 49 x 2 =98

just solve for x.

x^2 = 98/2

x^2= 49

Square root both sides

x= 7

3 0

2 years ago