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soldier1979 [14.2K]
3 years ago
11

Ten times a number, x, is one-half the sum of the number and three. Find an equation that represents this situation.

Mathematics
1 answer:
DENIUS [597]3 years ago
6 0



10x=1/2(x+3) is the answer 
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1 divided by 7+3 root 2
slega [8]

Answer:

7-3√2/31

Step-by-step explanation:

Rationalise it and you'll get your answer.

3 0
3 years ago
Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

8 0
3 years ago
The total cost for tuition plus room and board at State University is $2,584.00. Tuition costs $100 more than twice room and boa
liq [111]

Answer:

$1756

Step-by-step explanation:

1.  More = Addition

2. Twice = Multiplication by 2

3. Tuition costs $100 more than twice room and board

   Tuition = 2x + 100

   $2584 = (2x + 100) + x

   $2584 = 3x + 100

4. Subtract 100 on both sides: $2484 = 3x

5. Divide both sides by 3: $828 = x

6. Plug it in to the tuition equation: Tuition = 2(828) + 100

                                                                       = $1756

Check Work: (828*2) + 100 = $1756

                      $1756 + 828  = $2584

7 0
2 years ago
Shawn picked some vegetables from his garden.he picked 2.234 pounds of corn 2.205 pounds of tomatoes and 2.25 pounds of potatoes
Tatiana [17]

Answer: The correct answer is H.

Step-by-step explanation: The correct order of the weights from largest to smallest is shown in choice H. The correct order is 2.25, 2.234, 2.205.

5 0
3 years ago
Which statement best describes the area of the triangle shown below?
wel

Answer:

It is twice the area of a rectangle of length 4 units and width 2 units.

Step-by-step explanation:

7 0
2 years ago
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