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malfutka [58]
3 years ago
11

How many years in a month

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:  There are  12 months in one 1 year

Step-by-step explanation:

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A 23% increase followed by a 17% decrease is what percent change?
AVprozaik [17]
A 2.09% increase.

This is just some simple multiplication. A 23% increase is the same as multiplying by 1.23, and a 17% decrease is like multiplying by 0.83, since 100-17=83. Just multiply 1.23*0.83, which equals 1.0209, or a 2.09% increase.
7 0
3 years ago
Read 2 more answers
The area of the kite is 30 m2. What is the value of x? Explain
astra-53 [7]

Answer:

x = 5

Step-by-step explanation:

5 0
3 years ago
Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probab
Nastasia [14]

Answer:

1/12

Step-by-step explanation:

<u>Needed information</u>

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

The sum of the probabilities of all outcomes must equal 1

<u>Solution</u>

We are told that the probability that the counter is <em>not</em> black is 3/4.  

As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>black by subtracting 3/4 from 1:

\sf P(counter\:not\:black)=\dfrac34

\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14

We are told that the probability that the counter is <em>not </em>white is 2/3.  

As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>white by subtracting 2/3 from 1:

\sf P(counter\:not\:white)=\dfrac23

\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13

We are told that there are black, white and grey counters in the bag.  We also know that the sum of the probabilities of all outcomes must equal 1.  Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}

7 0
2 years ago
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 17 Date Name Lesson 17 Solutions Eric's father works two part-time jobs, onc in th
Law Incorporation [45]

Answer:

Eric's father work 5 hours each afternoon

Step-by-step explanation:

Let x be the no. of hours Eric's father work each afternoon

He works for hours in morning each day = 3

He works for total hours in morning in 5 days=3 \times 5 = 15

He works for total hours in afternoon in 5 days=5x

We are given that he works a total of 40 hours each 5-day workweek.

ATQ

15+5x=40

5x=25

x=5

Hence Eric's father work 5 hours each afternoon

8 0
3 years ago
What is the surface area of the above composite object made out of two rectangular prisms?
aleksandrvk [35]

Answer:

  550 mm^2

Step-by-step explanation:

A net can be drawn as shown in the first figure attached. Each square represents 5 mm by 5 mm, so is 25 mm^2. Altogether, there are 22 of them, so the total area is ...

  (25 mm^2)·22 = 550 mm^2

The second attachment shows that net folded up to make the given figure.

_____

In the first attachment, the green shades represent the left- and right-side faces. (Darker green is left side.) The red and blue shades represent the front- and back-side faces. The white rectangles represent the top and bottom faces. The dark black lines are the cut lines. If you want to fold the figure up, the lighter lines are the fold lines.

The second attachment is just verification that all faces are accounted for and the net actually corresponds to the given figure.

4 0
3 years ago
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