Answer:
The number is 5
Step-by-step explanation:
If we need to find the hidden number, Which for simplicity's sake we will denote as "n", lets first write out the equation.
"2 x [n + (-3)] = 4"
We can work through this problem backwards. if we need two times the sum of "n" and (-3) to get to 4, the only number that can be multiplied by 2 to get a product of 4 is 2, so "n" + (-3) must equal 2. so, From here, we can figure out that since 5 + (-3) equals 2, "n" Must equal 5. so, if we plug in 5 for "n" the equation looks like this:
"2 x [5 + (-3)] = 4"
So, since the equation makes sense, the answer is, "n = 5"
Im not sure but it could be 1/14
Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer: {x = 4 {y = 1
Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.
<u>Answer:</u>
- 2n + 12 = 100 (Equation)
- 2n = 88 (Solving)
- n = 44 people bought muffins at the bake sale. (Solving)
<u>Step-by-step explanation:</u>
- 100 muffins, and 2 in each package. Therefore, there are 50 packages. However, in the end, there are 12 left, so there must have been 6 packages left.
Answer:
<h3>#1</h3>
- tangent = opposite leg / adjacent leg
- tan ∠F = DE/ EF
- tan ∠F = 24/7
<u>Option D</u>
<h3>#2</h3>
Sine and cosine are same for complementary angles.
- Complementary of 67° is 90° - 67° = 23°.
- sine 67° = cosine 23°