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2 years ago

A plant starts with 1 branch. Every year,

Mathematics

1 answer:

arlik [135]2 years ago

8 0

Answer:

120

Step-by-step explanation:

we go add 3+1=4 and then 4×3=12 and then 12×10=120

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Hey please help me if you can I would appreciate it

PolarNik [594]

This is a division problem.
You need to divide 51/2 by 3/2.

$\dfrac{51}{2} \div \dfrac{3}{2} =$

$= \dfrac{51}{2} \times \dfrac{2}{3}$

$= \dfrac{51 \times 2}{2 \times 3}$

$= \dfrac{102}{6}$

$= 102 \div 6$

$= 17$

Answer: Choice D.

6 0

3 years ago

Read 2 more answers

3 1/2+ 5 3/8 can you solve please

Sunny_sXe [5.5K]

Answer:

71/8

8.875

8 7/8

Step-by-step explanation:

8 0

3 years ago

The value of the given digits the 4s in 244

Digiron [165]

244

The 4's are in the ONE's and TEN's places

4 0

3 years ago

Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84

guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0

2 years ago

Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2

disa [49]

For this case we propose a system of equations:

x: Let the variable representing the quantity of Granny Smith apples

y: Let the variable representing the number of Gala apples

According to the statement we have:

$x + y = 19\\0.25x + 0.30y = 5.10$

From the first equation we have to:

$x = 19-y$

replacing in the second equation:

$0.25 (19-y) + 0.30y = 5.10\\4.75-0.25y + 0.30y = 5.10\\4.75 + 0.05y = 5.10\\0.05y = 5.10-4.75\\0.05y = 0.35\\y = \frac {0.35} {0.05}\\y = 7$

So, Carl bought 7 Gala apples

On the other hand:

$x = 19-7 = 12$

So, Carl bought 12 Granny Smith apples

Answer:

Carl bought 7 Gala apples and 12 Granny Smith apples

8 0

3 years ago