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Ira Lisetskai [31]
3 years ago
13

The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b

Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0

\text{lcm}(a,b)=\dfrac{|a\cdot b|}{\text{gcd}(a,b)}\\\\378=\dfrac{|a\cdot b|}{9}\\\\|a\cdot b|=42\\\\a\cdot b=-42 \vee a\cdot b=42

<u>So, the least value is -42</u>

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What quantity of 75 per cent acid solution must be mixed with a 30 per cent solution to produce 1080 mL of a 50 per cent solutio
Jlenok [28]

Answer: 480 mL, 600 mL

Step-by-step explanation:

Given

The concentration of the first acid is 75%

The concentration of the second acid is 30%

The final mixture has a concentration of 50%

The final volume is 1080 mL

Suppose x and y be the volume of the first and second acid

\therefore x+y=1080\quad \ldots(i)\\0.75x+0.3y=0.5\times 1080\quad \ldots(ii)

Solving the above equations we get

x=480,y=600

So, the quantity of the first acid is 480 mL and 600 mL for the second mixture.  

6 0
3 years ago
I need help boi a(c – b) = d c =
alexandr1967 [171]

Hello from MrBillDoesMath!

Answer:

c = d/a + b


Discussion:

I think the Question is missing a comma.  Assuming you are trying to find the value "c",

a(c-b) = d  =>                               divide both side by "a"

(c-b) = d/a =>                               add "b" to both sides

c-b + b = d/a + b =>                      as -b + b = 0

c = d/a + b




Thank you,

MrB

5 0
3 years ago
if 40 percent of a circle is taken what would be the angle you would draw to represent 40 percent of the circle
Tema [17]
If you mean 40% of the circle with the rotation at the center of the circle, then you do this:
Measure of circle: 360°
Amount of circle's measure: 40%
360 * 40% = 144°

Thus, to take up 40% of the circle you need to have an angle measure of 144°.
6 0
3 years ago
Claire is baking items for a school bake sale. She needs 2 cups of flour for cookies, and 1 cups of flour for banana bread. How
Daniel [21]

Answer: B (3 cups)

Step-by-step explanation:

Add 2 cups + 1 cup together, and you get 3 cups. C is incorrect (in this scenario) because it doesn’t describe what measurement it’s in.

7 0
2 years ago
The volume of the sphere is 500/3 pie cubic units . what is the value of X?
lilavasa [31]
Volume=4/3 pi r^3. so 4/3 pi r^3 = 500/3 pi. Therefore, divide by pi, and multiply by 3, you get 4r^3=500. Divide by 4 to get r^3=125, and cube root to result in 25. r=25.
7 0
3 years ago
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