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Margaret [11]
3 years ago
13

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

Mathematics
1 answer:
djyliett [7]3 years ago
6 0

Answer:

-3x-6 < -33  and -3x-6 \geq -6

Step-by-step explanation:

we have

-33 > -3x-6 \geq -6

we know that

Compound inequality can be divided into two inequalities

so

-33 > -3x-6

rewrite

-3x-6 < -33

and

-3x-6 \geq -6

therefore

An equivalent form of the compound inequality is

-3x-6 < -33  and -3x-6 \geq -6

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Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un
Snowcat [4.5K]

Answer:

2nd car is running faster than the first car by 2.01 units.

Step-by-step explanation:

Let's assume that

  • the velocity of first car,

v_1\ =\ 20i\ +\ 25j

  • and the velocity of second car

v_2\ =\ 30i

=> speed of first car,

u_1\ =\ \sqrt{(20)^2+(25)^2}

      =\ \sqrt{400+625}

       =\ \sqrt{1025}

       = 32.01 units

and speed of second car,

u_2\ =\ \sqrt{(30)^2+(0)^2}

        = 30 units

u_2\ -\ u_1\ =\ 32.01\ -30

               = 2.01 units

Hence, 2nd car is running faster than the first car by 2.01 units.

8 0
3 years ago
The perimeter of a rectangle is 215 feet. The short sides are each 24 feet long, but the lengths of the long sides are unknown.
Nataly_w [17]

Answer:

2 ( 24 ) + 2 a = 215

Step-by-step explanation:

Perimeter of the rectangle is 215 feet, the short sides are 24 feet long and we need to work out the long sides (we will call a long side 'a') so,

24 + 24 + a + a = 215

6 0
3 years ago
Read 2 more answers
The length,AB of the rectangular lot is 1 foot less than two times its width, BC. If the perimeter of the rectangular lot 394 fe
r-ruslan [8.4K]

Answer:

AB=131\ ft

Step-by-step explanation:

we know that

The perimeter of the rectangular lot is

P=2(AB+BC) ----> equation A

where

AB is the length

BC is the width

we have

AB=2BC-1 ---> equation B

P=394\ ft ----> equation C

substitute equation B and equation C in equation A

394=2(2BC-1+BC)

solve for BC

394=2(3BC-1)

394=6BC-2

6BC=396

BC=66\ ft

<em>Find the value of AB</em>

AB=2BC-1

AB=2(66)-1

AB=131\ ft

6 0
3 years ago
The sum of three consecutive integers is 33. Find the numbers.
Rufina [12.5K]

Answer:

A

Step-by-step explanation:

x+x+1+x+2=33

3x+3=33

3x=30

x=10

so x+1 =11

x+2 =12

5 0
3 years ago
3. Ken solved the linear equation 2(5y - 1) = 18 using the following steps.
OlgaM077 [116]

Answer:

A

Step-by-step explanation:

he actually made a mistake in second step. Step 2 should be: 10y-2=18 and then 10y=18+2

we get 10y=20 /:10

y = 2

7 0
3 years ago
Read 2 more answers
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