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Degger [83]
3 years ago
7

Solve the compound inequality 3x + 4 ≤ 7

Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0

Answer:

x ≤ 1

Step-by-step explanation:

3x+4≤ 7

3x + 4 - 4 ≤ 7 - 4

3x≤3

x ≤ 1

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Tickets for a school football game cost 1.00 if purchased before the day of the game. They cost 1.50. They cost 1.50 each if bou
cluponka [151]

Answer:

Let x = number of gate tickets, ($1.50)

:

Since there were 600 tickets sold, let (600-x) = the $1 tickets

:

1.50 tickets + $1 tickets = $700

:

1.5x + 1(600 - x) = 700

1.5x - x = 700 - 600

.5x = 100

x = 100/.5

x = 200 ea 1.50 tickets sold at the gate

;

;

Check: there were 600 - 200 = 400 ea $1 tickets sold

1.50(200) + 1(400) = $700

6 0
3 years ago
What is the radius and center of the circle given by the equation (x-5)^{2}+(y+2)^{2} = 81/4
artcher [175]

Answer:

The center is (5, -2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written by

(x-h) ^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-5)^{2}+(y+2)^{2} = 81/4

( (x-5)^{2}+(y- -2)^{2} = (9/2)^2

The center is (5, -2) and the radius is 9/2

6 0
3 years ago
Which algebraic expression is equivalent to the expression below?
Anarel [89]

Answer:

A. 4x²+20x+25

Step-by-step explanation:

Because of PEMDAS, you calculate the value inside of the parenthesis first, so you expand [2x+1-(4x+6)]:

2x+1-4x-6 = -2x-5.

Then apply the exponent:

(-2x-5)² = (-2x-5)(-2x-5) = 4x²+10x+10x+25 = 4x²+20x+25

4 0
3 years ago
Read 2 more answers
The ratio of yellow shirts to green shirts in Ms. Grayson’s closet is 5:2. She has a total of 21 yellow and green shirts combine
VikaD [51]
15 yellow 6 green
5+2 equals 7
21 divided by 3 is 7
5x3=15
2x3=6

6 0
2 years ago
12.
kondaur [170]

Answer:

70kilometers

Step-by-step explanation:

first we must find how much one half of a centimeter is

well, its easy, theres already a half for the distance, and the representation is an even number, so cut it in half.

20-10 is 10

and now the multiplication

20x3=60

60+10=70

70 kilometers

3 0
2 years ago
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