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lys-0071 [83]
3 years ago
11

Why is finding the factor pairs only the first step in solving a problem?

Mathematics
2 answers:
m_a_m_a [10]3 years ago
5 0
To find out what they have in common

borishaifa [10]3 years ago
3 0
Because it will be easyer to add subtract maltiply divid the numbers in the problem.
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Is 3, 1, 1/3, 1/9,... a geometric sequence?
barxatty [35]
a_1;\ a_2;\ a_3;\ a_3;\ ...;\ a_n;\ a_{n+1};...\ is\ a\ geometric\ sequence\\if\ a_{n+1}:a_n=const.\\-------------------\\a_1=3;\ a_2=1;\ a_3=\dfrac{1}{3};\ a_4=\dfrac{1}{9}\\\\a_4:a_3=\dfrac{1}{9}:\dfrac{1}{3}=\dfrac{1}{9}\cdot\dfrac{3}{1}=\dfrac{1}{3}\\\\a_3:a_2=\dfrac{1}{3}:1=\dfrac{1}{3}\\\\a_2:a_1=1:3=\dfrac{1}{3}\\\\Answer:Yes.\ It's\ the\ geometric\ sequence.
7 0
3 years ago
There will be 6 people at ellies pie party she wants to bake enough pie so each person can eat at least 1/5 of pie what is the m
tatyana61 [14]

Answer:

2

Step-by-step explanation:

She needs to have 6 portions of 1/5 pie size.

6 portions of 1/5 pie size is 6/5 of a pie.

6/5 of a pie is the same as 1 1/5 (one and one-fifth) pies.

Since she only bakes full pies, she must round up to the next higher whole number, so she must bake 2 pies.

8 0
3 years ago
A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and
OLEGan [10]

Answer:

5.77\ \text{m}

11.54\ \text{m}

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

\theta = Angle between the rope and the ground = 30^{\circ}

\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}

The length of the rope is 5.77\ \text{m}

\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}

The length of the pole is 11.54\ \text{m}

3 0
3 years ago
Sara sells homemade blueberry jelly (b) and strawberry jam (s) at the farmer's market. It is the end of berry picking season, so
Diano4ka-milaya [45]

System of inequalities representing given scenario is as follows

x + y ≤40  

5x + 4y ≥ 120    

<h3><u>Solution:</u></h3>

Given that Sara sells homemade blueberry jelly (b) and strawberry jam (s) at the farmer's market. She has enough berries for no more than 40 jars.

The blueberry jelly sells for $5 per jar,  

And the strawberry jam sells for $4 per jar.

Sara's goal is to make at least $120

Need to write system of inequalities for above scenario.

Let’s assume number of jars of blueberry jelly be represented by variable “x”

And assume number of jars of strawberry jam be represented by variable “y”

<em><u>Let’s create first inequality  </u></em>

As it is given that Sara has enough berries for no more than 40 jars, so total number of jars cannot be more than 40.  

=> Number jars of blueberry jelly + number of jars of strawberry jam ≤40

=>  x + y ≤ 40 ------(1)

<em><u>Now let’s create second inequality </u></em>

Selling Price of 1 blueberry jelly = $5  

So Selling Price of "x" blueberry jelly =x \times 5=5 x

Selling Price of 1 strawberry jam = $4

So Selling Price of "y" strawberry jam = \$ 4 \times \mathrm{y}=4 y

So amount generated by selling x blueberry jelly and y strawberry jam = 5x + 4y

And as Sara’s goal is to generate at least $120, so amount generated by selling “x” blueberry jelly and “y” strawberry jam must be greater than $120  

=> 5x + 4y ≥ 120   ------ (2)

Hence system of inequalities representing given scenario is as follows :

x + y ≤40  

5x + 4y ≥ 120    

3 0
3 years ago
Find the length of the third side of each triangle.<br> HELP PLEASE
Nikitich [7]

Answer:

96 because it's the same length but just slanted

6 0
3 years ago
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