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PilotLPTM [1.2K]
2 years ago
7

Solve for X and show work

Mathematics
1 answer:
Len [333]2 years ago
7 0
I don’t know how to show how I got it but the answer is X=12.
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What is the area of a sheet of binder paper? (Binder paper is 8 1/2 inches by 11 inches.)
11Alexandr11 [23.1K]
Area of a rectangle is the product of length times width.  Thus, here we need the product of 8 1/2 inches by 11 inches.

One way of doing this follows:            8.5
                                                         8.5
                                                       ----------         
                                                         93.5 square inches

Rounding up, this comes out to 94 square inches.

Alternatively:     17             187
                         ---- * 11 = ------- = 93.5 square inches; rounded, that's 94.
                           2                 2
3 0
3 years ago
How do you know whether two quantities x and y are proportional?
ANEK [815]

Answer:

I'm pretty sure it is (a)

8 0
2 years ago
Read 2 more answers
Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate
kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality x^{2}-5x+4\leq 0. To do that, factorize, then we have that (x-4)(x-1)\leq 0. This implies that

x-1\leq 0\, \text{and}\, x-4\geq 0

or

x-1 \geq 0\, \text{and}\, x-4\leq 0

In the first case the solution is the empty set \emptyset. In the second case the solution is the interval 1\leq x \leq 4. Now we have that

A=[1,4]

B=(3,5)

C=(3,4].

To show that A\cap B\subseteq C consider x\in A\cap B. Then 1\leq x \leq 4\, \text{and}\, 1, this implies that 3, then x\in C. Now, to show that C\subseteq A\cap B consider x\in C, then 3, then 1\leq x \leq 4\, \text{and}\, 3, then x\in [1,4] \, \text{and}\, x\in (3,5), this implies that x\in A\cap B.

Observe the image below.

7 0
3 years ago
0.006/6,000 is it Much Larger than or close to 1
ANEK [815]

Answer:

Less close to one

Step-by-step explanation:

0.006/6,000= 0,000001

7 0
2 years ago
Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line
ale4655 [162]

Answer:

m\angle 1  =105^\circ\\m\angle 2  =75^\circ

Step-by-step explanation:

The diagram is drawn and attached below.

From the diagram

m\angle 2 =75^\circ $ (Alternate Angles)

m\angle 1+ m\angle 2 =180^\circ $ (Sum of angles on a straight line)\\m\angle 1+75^\circ  =180^\circ\\m\angle 1  =180^\circ-75^\circ\\m\angle 1  =105^\circ

7 0
2 years ago
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