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FrozenT [24]
3 years ago
5

Simplify 5x + 2 – 4x + 3

Mathematics
1 answer:
aniked [119]3 years ago
8 0

x+5 is the answer, hope this helps!

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Name the three dimensional figure that is formed by folding the net
Alexxandr [17]

Answer:

Cylinder

Step-by-step explanation:

The object has two parallel, circular, flat ends and straight sides, so it is a cylinder.

Cubes, rectangles and prisms have only flat sides.

5 0
3 years ago
Read 2 more answers
The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
frez [133]

Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

5 0
3 years ago
Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probab
SCORPION-xisa [38]

Answer:2/5

Step-by-step explanation: ok so you take everything and you add it up you get a total of 10 then if you were going to grab a purple one there are 4 purple bows you can then simplify 4/10 to 2/5 and there is your aswer.

3 0
3 years ago
Find the perimeter of ABC with vertices A (1,-6), B (1,-3),<br> and C (-4,-6).
Crazy boy [7]

Answer:

p = 8 +  \sqrt{34}  = 13.83095...

Step-by-step explanation:

we can easily calculate the perimeter of three points, using vectors. See the picture...

5 0
3 years ago
You are working in a primary care office. Flu season is starting. For the sake of public health, it is critical to diagnose peop
Aleksandr-060686 [28]

Answer:

E. 0.11

Step-by-step explanation:

We have these following probabilities:

A 10% probability that a person has the flu.

A 90% probability that a person does not have the flu, just a cold.

If a person has the flu, a 99% probability of having a runny nose.

If a person just has a cold, a 90% probability of having a runny nose.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem, we have that:

What is the probability that a person has the flu, given that she has a runny nose?

P(B) is the probability that a person has the flu. So P(B) = 0.1.

P(A/B) is the probability that a person has a runny nose, given that she has the flu. So P(A/B) = 0.99.

P(A) is the probability that a person has a runny nose. It is 0.99 of 0.1 and 0.90 of 0.90. So

P(A) = 0.99*0.1 + 0.9*0.9 = 0.909

What is the probability that this person has the flu?

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.1*0.99}{0.909} = 0.1089 = 0.11

The correct answer is:

E. 0.11

5 0
3 years ago
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