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Ket [755]
3 years ago
10

What is the greatest integer that makes the inequality 3 – 2x > 9 a true statement?

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0
1. Subtract 3 from both sides:
-2x > 9 - 3
2. Simplify 9 - 3 to 6
-2x > 6
3. Divide both sides by -2
x < - 6/2
4. Simplify 6/2 to 3
x < -2
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A circular field has a diameter of 50 yards. If a fence needs to be built to go around the field, how many yards of fencing are
Xelga [282]

Answer:

A.

Step-by-step explanation:

A fence is needed for the circular field.

Circumference is basically perimeter but for circles.

Knowing this information, we can use the formula for circumference.

C = \pid

C = (3.14)(50)

C = 157

hope it helps :)

4 0
3 years ago
Bens score in a game is x points and Olives score is three times that of ben. Their combined point total is -48 points.
andrew-mc [135]
B. The equation is 4x = -48. Ben’s point total is -12.
6 0
3 years ago
tandard automobile license plates in a country display 1 numbers, followed by 2 letters, followed by 4 numbers. How many differe
kolbaska11 [484]

Answer:

39,917,124

Step-by-step explanation:

In order to solve this problem we must start by drawing a diagram of what the licence plates look like. (See Attached picture).

Now, each box in the picture will represent one digit of the plate. Some must be numbers and some must be letters. We know we have 9 posibilities for theh numbered boxes (1-9) and we have 26 possibilities for the boxes that are to contain letters. Repetitions allowed. So the possible character for each box is as follows:

box 1 = 1 to 9 = 9

box 2 = A to Z = 26

box 3 = A to Z = 26

box 4 = 1 to 9 = 9

box 5 = 1 to 9 = 9

box 6 = 1 to 9 = 9

box 7 = 1 to 9 = 9

so the total number of licence plates can be found by multiplying the possibilities for each box in the plate so we get:

# of plates = (9)(26)(26)(9)(9)(9)(9)

which can be simplified to:

plates= 9^{5}26^{2}=39,917,124

8 0
3 years ago
Rewrite, using the distributive<br> property.<br> 5(2x – 3y) = [?]x-[ ]y
fenix001 [56]
Answer: 10x - 15y because 5(2x) = 10x and 5(-3y) = -15y
8 0
2 years ago
HELP!!!! I have never seen this. I will award big brain.​
Jlenok [28]

Step-by-step explanation:

Angles APD, DPC and CPB are supplementary. (Angles on a straight line)

Therefore Angle APD + Angle DPC + Angle CPB = 180°.

Since Angle DPC = 90° (Right angle),

Angle APD + Angle CPB = 180° - 90° = 90°.

=> (7x + 1) + (9x - 7) = 90

=> 16x - 6 = 90

=> x = 6

Hence arc measure of minor arc AD

= (7x + 1)° = [7(6) + 1]° = 43°.

6 0
3 years ago
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