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almond37 [142]
1 year ago
8

Andrew used the following mental math strategy to find the total number of hours he worked on his project.6.6+2.75+4.46.6+2.75+4

.4(6.6+4.4)+2.756.6+4.4+2.75 11+2.75=13.7511+2.75=13.75  What is the reason for his strategy?
Mathematics
1 answer:
Pavlova-9 [17]1 year ago
3 0
\begin{gathered} 6.6+2.75+4.4 \\ (6.6+4.4)+2.75 \\ \text{ He grouped 6.6 and 4.4 because the result is an integer:} \\ 6.6+4.4=11 \\ \text{Therefore it will be easier to add} \\ 11+2.75=13.75 \end{gathered}

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-8b-32 what is the answer with work?
Crank
Well the LCM (lowest common multiples) for 8 and 32 would be 4. So plug 4 into "b" -8×4-32. -8×4=32. -32-32. Since you can't subtract 32 and 32 you add! Which gives you -64.

Hope this helps (:
7 0
3 years ago
What is 3a+2c=26 solve for a and c
blondinia [14]

Simplifying

3a + 2b + c = 26

Solving

3a + 2b + c = 26

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2b' to each side of the equation.

3a + 2b + -2b + c = 26 + -2b

Combine like terms: 2b + -2b = 0

3a + 0 + c = 26 + -2b

3a + c = 26 + -2b

Add '-1c' to each side of the equation.

3a + c + -1c = 26 + -2b + -1c

Combine like terms: c + -1c = 0

3a + 0 = 26 + -2b + -1c

3a = 26 + -2b + -1c

Divide each side by '3'.

a = 8.666666667 + -0.6666666667b + -0.3333333333c

Simplifying

a = 8.666666667 + -0.6666666667b + -0.3333333333c

3 0
3 years ago
Read 2 more answers
NEED SOME HELP HERE!!
Stolb23 [73]

Answer:

6 and 8

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Given this,

(3x)² + (4x)² = 10²

9x² + 16x² = 100

25x² = 100

Divide both sides by 25

x² = 4

x = 2

Substitute this into 3x and 4x.

3x = 3 * 2 = 6

4x = 4 * 2 = 8

Thus, the answer is 6 and 8

5 0
3 years ago
Given that
timofeeve [1]

Answer:

4.

Step-by-step explanation:

(sec α - tan α)(sec α + tan α) = sec^2 α - tan^2α

But sec^2  α = 1 + tan^2 α so

sec^2 α - tan^2α  = 1 + tan^2 α - tan^2α

= 1

so 1 =  (sec α - tan α)(sec α + tan α) = 1/4 * x     where x  is sec α + tan α

1/4 * x = 1

x = 4.

6 0
3 years ago
What is the difference between the x-coordinates of B and C?
Brilliant_brown [7]

Answer:

Therefore, the point P (-3.5, 1.25) is the point 3/4 distance of A to B from A.

Step-by-step explanation:

The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. ... In an ordered pair, such as (x, y), the first value is called the x-coordinate and the second value is the y-coordinate.

3 0
3 years ago
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