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lbvjy [14]
2 years ago
10

3 1/2 + (-7) x (2 2/3 + 1 1/2) = ?

Mathematics
2 answers:
mixer [17]2 years ago
6 0

Answer: 77/3 or 25 2/3

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

3 1/2 = 3*2+1/2 = 7/2

2 2/3 = 2*3+2/3 = 8/3

1 1/2 = 1*2+1 = 3/2

2. Calculate within parentheses

Multiply and divide from left to right

Add and subtract from left to right

mestny [16]2 years ago
3 0

Answer:

- 53 2/3

Step-by-step explanation:

3 1/2 + (-7) x (2 2/3 + 1 1/2)

= 7/2 - 7 (8/3 + 11/2)

= 7/2 -7 (49/6)

= 7/2 - 343/6

= - 161/3

= - 53 2/3

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What is the solution to the system of equations?
kaheart [24]
Substitution would be a great approach to solving this system, because the first equation defines y as x - 10 and you can thus substitute x - 10 for y in the second equation:

2x + (x - 10) = 4

Then 3x - 10 = 4, and 3x = 14.  Solving for x:  x = 14/3.

Since y = x-10, subst. 14/3 for x to find y:  y = 14/3 - 30/3 = -16/3

The solution is (14/3, -16/3).
6 0
3 years ago
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What is the 12th term in the geometric sequence -9,27,-81...?
AnnyKZ [126]

Answer:

  • B) 1594323

Step-by-step explanation:

<h3>Given GP</h3>
  • -9, 27, -81, ...
<h3>To find</h3>
  • 12th term
<h3>Solution</h3>

<u>nth term formula</u>

  • aₙ = a₁rⁿ⁻¹, where r- common ratio, n- number of the term

<u>We have</u>

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<u>Find a₁₂</u>

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Correct choice is B

4 0
2 years ago
from a 200 ft observation tower on the beach, a man sights a whale in difficulty. the angle of depression of the whale is 7 degr
Stels [109]

The whale is 24.54 feet away from the shoreline.

Step-by-step explanation:

Step 1:

The man is 200 feet from the ground and the angle at which he sees the whale is 7°.

So a right-angled triangle can be formed using these measurements. The angle of the triangle is 7° while the opposite side of the triangle measures x feet while the adjacent side of the triangle measures 200 feet.

We need to find the opposites side's length of the triangle.

Step 2:

Since we have the length of the adjacent side and need to calculate the length of the opposite side we use the tan of the given angle.

The opposite side of the triangle = x feet.

\tan \theta = \frac{opposite side}{adjacent side} , tan (7) = 0.1227,

tan(7)=\frac{x}{200}, x = 0.1227 (200) = 24.54 feet.

So the whale is 24.54 feet away from the shoreline.

6 0
3 years ago
Quadrilateral ABCD is a kite. If , AD is congruent to AB find AD.
Otrada [13]
AD = AB
2r + 8 = 5r - 13
3r = 21
r = 7

AD = 2r + 8 = 2(7) + 8 = 14 + 8 = 22

answer AD = 22
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Y=490 -2x/3 
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