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Ksju [112]
3 years ago
6

A two digit number is 4 times the sum of its digits and twice the product of its digit.FIND THE NUMBER

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0
X - tenths digit
y - units digit

10x+y=4(x+y)\\
10x+y=2xy\\\\
10x+y=4x+4y\\
10x+y=2xy\\\\
6x=3y\\
10x+y=2xy\\\\
3x=y\\
10x+y=2xy\\\\
10x+3x=2x\cdot3x\\
13x=6x^2\\
6x^2-12x=0\\
6x(x-2)=0\\
x=0 \vee x=2\\\\
y=3\cdot2\\
y=6\\\\
10\cdot2+6=\boxed{26}
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The radius of Circle A is 6 mm. The radius of Circle B is 4 mm greater than the radius of Circle A. The radius of Circle C is 2
labwork [276]

Answer:

Area of circle A =113.14 mm²

Area of circle b = 314.29 mm²

Area of circle C = 452.57 mm²

Area of circle A = 254.57 mm²

2.25 times

Step-by-step explanation:

Area of a circle = nr²

where n = 22/7

r = radius

Circle A's radius = 6mm

Circle B's radius = 6mm + 4mm = 10mm

Circle C's radius = 10mm + 2mm = 12mm

Circle D's radius = 12mm - 3mm = 9mm

Area of circle A = (22/7) x 6² = 113.14 mm²

Area of circle b = (22/7) x 10² = 314.29 mm²

Area of circle C = (22/7) x 12² = 452.57 mm²

Area of circle A = (22/7) x 9² = 254.57 mm²

Number of times the area of circle D is greater than that circle A = Area of circle D / Area of circle A

254.57 mm² / 113.14 mm² = 2.25 times

4 0
3 years ago
The common ratio in a geometric series is 0.50.50, point, 5 and the first term is 256256256.
V125BC [204]

Answer:

504

Step-by-step explanation:

I think the correct question is like:The common ratio in a geometric series is 0.50 ( point 5) and the first term is 256.  

Find the sum of the first 6 terms in the series.

If it's right, then

Sₙ = (a₁ * (1 - rⁿ)) / (1 - r)

S₆ = (256 * ( 1 - 0.5⁶)) / (1 - 0.5) = (256 * 0.984375) / 0.5 = 504

6 0
3 years ago
Pool 22ft round what is circumference?
Vinil7 [7]
Cercumference = 2<span>πr
Then just multiply </span><span>π by denominator
radius will always be half of denominator
Answer 138.23
Hope that helps </span><span />
5 0
3 years ago
Read 2 more answers
What does the x-intercept sometimes represent in a real world problem
UNO [17]
I think it represents where something is starting from, like something growing up (a chart with rising numbers)
3 0
3 years ago
Tonya and Pearl each completed a separate proof to show that alternate interior angles AKL and FLK are congruent. Who completed
zalisa [80]

Answer:

Tonya proof is correct
and Pearl proof is wrong

Step-by-step explanation:

AKL and GKB are obviously congruent. But the reasons given are different, One of the justification is Vertical Angles Theorem, and the other is Adjacent Angles.

But the correct justification is the Vertical Angles Theorem, because the angles are Vertically away from each other, or the angles are at opposite sides of each other. Which is when Vertical Angles Theorem is applied.
Making Tonya correct since that was the answer he given.

The definition of Adjacent Angles is incorrect, this Theorem is used when the angles are Adjacent to each other. When the angles are on the same line as the other angle, is when the definition of Adjacent Angles is applied. Not in this situation

8 0
2 years ago
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