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PilotLPTM [1.2K]
3 years ago
7

What is the value of a in the equation 5a – 10b = 45, when b = 3?

Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0
Here you go. Do you think that you could help me with my question

5a – 10b = 45 
5a – 10(3) = 45 
5a – 30 = 45 
+30 +30 
5a = 75/5 
<span>a = 15</span>
Jobisdone [24]3 years ago
6 0
So Since we know what b equals. We can just plug it into the equation 
b = 3 
5a -10(3) = 45 

First step is to solve -10(3)  that means we multiply these two numbers. 
-10 x 3 = -30 
Now plug that in for what it was in the equation. 

5a - 30 = 45 

Now the next step is to add 30 to both sides to cancel out -30

5a - 30 = 45 
     +30 = +30
*************** Now the 30's on the left side disappear and we solve on the right side. 
45 + 30 = 75 

Now set up your equation once again. 

5a = 75 

Now we divide both sides by 5 to isolate (or get a to be alone) 
5a = 75 
÷5 = ÷5 
********* the 5's on the left side disappear and we solve on the right side. 

75 ÷ 5 = 15 

So here's what we have left. 
a = 15 

Good Luck! :)

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cestrela7 [59]

Answer:

3.25 seconds.

Step-by-step explanation:

We can use the formula <em>Final Velocity = Initial Velocity + Acceleration * Time </em> to solve this problem.

First, we plug in the values we already know, and then we solve like normal:

1.5 = 0.2 + 0.4*t

1.3 = 0.4 * t

3.25 = t

Therefore, the mosquito accelerated for 3.25 seconds.

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5 0
3 years ago
How many positive factors of 200 are divisible by 4?
Stella [2.4K]

Answer:

C. 6, D. 20, B. 18, B. 9

Step-by-step explanation:

#1. Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 & 200, of which 6 are divisible by 4 (4, 8, 20, 40, 100 & 200)

#2. Prime factors of 35 are 7 & 5, twice the sum of these factors, k = 24. k-4 = 20

#3. Non-multiples of 4 nor 5 between 16 and 45 are 17, 18, 19, 21, 22, 23, 26, 27, 29, 31, 33, 34, 37, 38, 39, 41, 42 & 43...thus 18 non-multiples

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3 0
3 years ago
Find the area of the regular hexagon
earnstyle [38]

Answer:

Area = 166cm² (Approximately)

Step-by-step explanation:

To solve this, let's recall the formula for the area of a REGULAR Hexagon.

The area of a REGULAR Hexagon is expressed as:

A = (3√3 * a²) / 2

Where a is the length of one side of the Hexagon.

a= 8cm.

Area = (3√3 * 8²) / 2

Area = (3√3 * 64) / 2

Area = (192√3) / 2

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3 years ago
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SOVA2 [1]

Answer:

\frac{PQR}{SQR}

Step-by-step explanation:

An isosceles triangle has two equal sides and the two opposite angles to the sides to be equal.

Given that; RP = RS, RQ and PS are common,

RP = SQ (opposite sides of parallelogram RPQS)

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Thus comparing triangles PQR and SQR,

\frac{PQ}{SQ} = \frac{PR}{SR} (similarity property)

<PRS = <PRQ + <SRQ (bisection of included <PRS)

<PQS = <PQR + <SQR (similatity property to <PRS)

\frac{PRQ}{SRQ}  = \frac{SQR}{PQR} (congruence property)

But, SRQ = PQR

So that;

       \frac{PRQ}{SQR}

Therefore by Side-Angle-Side (SAS), the required additional fact is:  \frac{PRQ}{SQR}

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dlinn [17]

Answer:

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Step-by-step explanation:

5 inches below ground. assuming ground is 0, then it would be -5

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