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1 year ago

7

If x is the least common multiple of the set {6, 8, 12} and y is the greatest common factor

1 answer:

Anarel [89]1 year ago

8 0

Answer:

12

Step-by-step explanation:

The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12

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What is the value of x, when x2 + 5 = 21?

djverab [1.8K]

Hey there!

$\bold{x^2+5=21}$
<em>Firstly, subtract by the number $\bold{5}$ on each of your sides</em>
$\bold{x^2+5-5=21-5}$
$\bold{Cancel:5-5}$ because it gives us the result of $\bold{1}$
$\bold{Keep:21-5}$ because it equals: $\bold{16}$
$\bold{x^2=16}$
<em>Nextly, we have to take our square root </em>
$\bold{x=}$ ± $\bold{\sqrt{16}}$
<em>Solve the square root and you have found your answer</em>
<em> $\boxed{\boxed{\bold{Answer:x=4[or]x=-4}}}$ $\bold{\checkmark}$ </em>

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

4 0

2 years ago

Josh makes a fruit salad with bananas, blueberries, and strawberries. He uses 234 pounds of bananas, 112 pounds of blueberries,

4vir4ik [10]

Answer:

234+112=346

618-346=272

Josh used 272 pounds of strawberries in his fruit salad.

Step-by-step explanation:

6 0

1 year ago

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**Select all that apply**

Arte-miy333 [17]

Answer:

a and d

Step-by-step explanation:

8 0

2 years ago

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

2 years ago

Evaluate 5 + b ÷ (11 - 9) for b = 14.

Trava [24]

Answer:

12

Step-by-step explanation:

5 + b ÷ (11 - 9)

Substitute b = 14

5 + 14 ÷ (11 - 9)

Work the order of operations from left to right

Since there are no exponents, parentheses first

5 + 14 ÷ (11 - 9)

5+14 ÷ 2

Then division

5+7

Then addition

12

8 0

2 years ago

Read 2 more answers