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mixas84 [53]
3 years ago
15

What steps do I take to solve y+2>1/2-2 and the solution

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0
<span>y+2>1/2-2 looks a little strange.  Is it OK to combine the last 2 terms?

</span><span>y+2> -3/2

Then y > -2 - 3/2, or y > -7/2.  y must be greater than -7/2, greater than -3.5.</span>
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Martha earned a gross pay of $1,215,60 last week. Using the fact that Social Security tax is 6.7% of gross pay, determine the
scoray [572]

Answer:

c) $ 75.37

Step-by-step explanation:

The correct question is:

Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the

amount of Social security tax deducted from Martha's gross pay

a $7.54

b. $65.37

c. $75.37

d. $75.40

<u>ANSWER: </u>

<em>Martha's gross pay </em>= $ 1,215.60

<em>Social Security Tax </em>= 6.2%

<em><u>Calculate Social Security tax:</u></em>

6.2% of 1,215.60

6.2/100 x 1,215.60 = $ 75.37

Therefore, the correct answer is option c: $ 75.37

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6 0
3 years ago
A polyhedron has 8 vertices and 14 edges. How many faces must it have?
Scorpion4ik [409]
We know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

V - E + F = 2
clear F
F=2-V+E

in this problem
V=8
E=14
F=?
so
F=2-8+14
F=8

the answer is
8 faces
7 0
3 years ago
Find the equation of the line that is parallel to 3x-4y=6 and passes through the point (-12,10)
horsena [70]
Answer:

y = 3/4x + 19

Explanation:

First we need to write the equation in the form y=mx+c:

3x-4y=6
-4y=-3x+6
y=3/4x-3/2

Because the lines are parallel, we can deduce that the gradients (m) are equal. That means that the gradient of our new equation will also be 3/4.

We will now use the following equation:

y - y1 = m(x - x1)

We will substitute in the new line’s gradient as well as the coordinates we were given:

y - 10 = 3/4(x + 12)

Now we solve this equation into the form y=mx+c:

y - 10 = 3/4x + 9
y = 3/4x + 19
5 0
3 years ago
Read 2 more answers
What is the value of x? Enter your answer in the box. x = °
Gala2k [10]

Answer:

45

Step-by-step explanation:

All angles in a triangle add up to 180.

80 + 55 = 135

180 - 135 = 45

3 0
3 years ago
Read 2 more answers
The lengths of three sides of a triangle are 10 centimeters, 11 centimeters, and 13 centimeters. Find the measure of the smalles
SashulF [63]

Answer:

  • 48.4°

Step-by-step explanation:

The smallest angle is opposite to the smallest side.

<u>Use the law of cosines to find the angle opposite to side with the length of 10 cm:</u>

  • cos A = (b² + c² - a²)/(2bc)
  • cos x = (11² + 13² - 10²)/(2*11*13)
  • cos x = 190/286
  • cos x = 0.664 (rounded)
  • x = arccos (0.664)
  • x = 48.4° (rounded)
5 0
2 years ago
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