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Reptile [31]
3 years ago
5

What is the least common multiple of 4 and 10?

Mathematics
1 answer:
Luden [163]3 years ago
7 0
Lcm of 4 and 10 is 20
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8 - 5 (9k + 8) = 3k - 1
EastWind [94]
8 - 45k - 40 = 3k - 1
-32 - 45k = 3k - 1
+ 1 +45k +45k + 1
_________________
-31 = 48k
-0.689 = k
7 0
3 years ago
Read 2 more answers
Miguel is working at the county fair. On​ Friday, he works at the concession stand. On​ Saturday, he works at the balloon dart b
Liono4ka [1.6K]

Answer:

$362.25

Step-by-step explanation:

Profit made per product :

Soft pretzel = $5.25 - $3.50 = $1.75

Candied apple = $3.50 - $1.75 = $1.75

For every 2 candied apple sold, 7 soft pretzel is sold :

If 161 sold pretzel is sold, the number of candied apple sold will be :

(161 / 7) * 2

23 *. 2 = 46 candied apple was sold

Profit made on product sold :

Soft pretzel = $1.75 * 161 = $281.75

Candied apple = $1.75 * 46 = $80.5

$(80.5 + 281.75) = $362.25

3 0
3 years ago
In a parallel circuit, ET = 208 V, R = 33 kΩ, and XL = 82 kΩ. What is the apparent power?
jeka94

Answer:

Apparent power is 1.413Volt-Amps.

Step-by-step explanation:

We are given that in a parallel circuit,E_{T}=208V,R=33kΩ and X_{L}=82kΩ.

And we are asked to find apparent power.

Apparent power is the combination of true power and reactive power.

In other words, we can say that in a power triangle apparent power is the hypotenuse where as true power and reactive powers are sides.

Let us find true power , reactive power first and the using Pythagorean theorem we can find apparent power.

True power=\frac{E_{T}^{2}}{R}=\frac{208^{2}}{33000}=1.311watts

Reactive power=\frac{E_{T}^{2}}{X_{L}}=\frac{208^{2}}{82000}=0.528VARs

Hence apparent power=\sqrt{1.311^{2}+0.528^{2}} =1.413VA

5 0
4 years ago
Simplify<br>1)5x+3=x+13<br>2)5/2x-1/X =1/6​
Artyom0805 [142]

Step-by-step explanation (Question 1):        

<u>Step 1: (Question 1): Subtract x from both sides.</u>

5x+3=x+13

5x+3−x=x+13−x

4x+3=13

<u>Step 2: (Question 1): Subtract 3 from both sides.</u>

4x+3−3=13−3

4x=10

<u>Step 3: (Question 1): Divide both sides by 4.</u>

4x/4 = 10/4

FIRST ANSWER: x = 5/2

Step-by-step explanation (Question 2):      

<u>Step 1: (Question 2): Multiply by LCM</u>

15x^2 - 6 = x

<u>Step 2: (Question 2): Solve 15x^2</u>

15x^2 - 6 = x:

x = 2/3

x = -3/5

<u>Step 3: (Question 2): Solve</u>

ANSWER: x=0.666667 or x=−0.6

See Attachment 1 for question 1 steps (FULL)

See Attachment 2 for question 2 steps (FULL)

Answer:    

1)   x = 5/2

2)  x=0.666667 or x=−0.6

 

Hope this helps.

8 0
3 years ago
Read 2 more answers
The formula sa
sergeinik [125]

Answer:

The correct option is (b).

Step-by-step explanation:

The formula for the side of a cube of surface area SA is as follows :

s=\sqrt{\dfrac{SA}{6}}

When SA = 180 m²

s=\sqrt{\dfrac{180}{6}}\\\\s=\sqrt{30}

When SA = 120 m²

s=\sqrt{\dfrac{120}{6}}\\\\s=\sqrt{20}\\\\=2\sqrt5

Difference,

=30-2\sqrt5

So, the correct option is (b).

8 0
3 years ago
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